/2*o**2 + 873/2*o - 1269/2 = 0.
3, 47
Let f(c) be the second derivative of c**6/120 + 11*c**5/2 + 16133*c**4/16 - 55*c**3/3 - 6050*c**2 - 389*c - 3. Factor f(q).
(q - 1)*(q + 1)*(q + 220)**2/4
Let r = -27723/4 + 6932. Let b(z) be the first derivative of -r*z**2 + 2*z + 27 - 1/4*z**3. What is y in b(y) = 0?
-4, 2/3
Let n(m) be the third derivative of 1/240*m**6 + 0*m**3 + 275*m**2 + 1/280*m**7 + 0 + 1/12*m**4 + 0*m - 1/20*m**5 - 1/1344*m**8. Let n(x) = 0. What is x?
-2, 0, 1, 2
Suppose 58365907*l**2 - 5199922*l**2 + l**4 + 3*l**4 + 37295937425*l + 25259*l**3 - 9327307625 = 0. What is l?
-2105, 1/4
Let v(i) be the second derivative of 0 + 1/4*i**5 + 50*i + 65/12*i**4 + 175/6*i**3 - 245/2*i**2. Determine t so that v(t) = 0.
-7, 1
Solve -261*i - 1047*i + 2604 + 397*i**2 - 394*i**2 = 0.
2, 434
Let s(d) be the second derivative of -3*d**2 - 1/2*d**3 + 1/4*d**4 - 2*d - 27. Factor s(u).
3*(u - 2)*(u + 1)
Let t = 241 + -237. Factor 1005*f**3 + 810448*f - 12*f**t + 32856*f**2 + 5*f**4 + 11*f**4 + 7496644 - 413*f**3.
4*(f + 37)**4
Let i = -11 - -32. Solve 3*u**3 - i*u + 7*u**2 + 22*u - 4*u**2 + u**4 = 0.
-1, 0
Let n be 1281/7 + (-2 - 1). Suppose -r = -5*r + n. Find g, given that -20*g**5 + 1467 + 5*g**2 - 30*g**3 - 1467 + r*g**4 = 0.
0, 1/4, 1
Factor 13263041 + 6*r**2 - 1100729 - 4*r**2 + 1313*r - 9306*r - 1871*r.
2*(r - 2466)**2
Let u(w) be the second derivative of w**5/70 + 29*w**4/42 + 164*w**3/21 + 220*w**2/7 - 646*w. Find m, given that u(m) = 0.
-22, -5, -2
Let d = -62 - -33. Let x = d + 33. Let -10*c - 17 + 5*c**2 - 1 + 7 - x = 0. What is c?
-1, 3
Let a(u) = -u**2 - 7*u + 3. Let t be a(-7). Let f(w) = -t*w - 6*w + 31 - w**2 - 36. Let x(v) = -6*v**2 - 64*v - 36. Let y(m) = 44*f(m) - 6*x(m). Factor y(z).
-4*(z + 1)*(2*z + 1)
Let j be -14*25/10*1. Let y = j + 35. Determine m so that 2*m + 22*m**2 + y*m - 18*m**2 + 2*m = 0.
-1, 0
What is w in -10*w**4 + 330*w**2 + 55 - 155/2*w**3 - 595/2*w = 0?
-11, 1/4, 1, 2
Let t(s) be the second derivative of 0*s**2 - 2 + 1/40*s**6 - 1/16*s**4 + 1/80*s**5 + 21*s - 1/12*s**3 + 1/168*s**7. Factor t(m).
m*(m - 1)*(m + 1)**2*(m + 2)/4
Let s(u) be the first derivative of -5*u**6/6 - 434*u**5 - 119855*u**4/2 - 917960*u**3/3 + 732075*u**2/2 + 4160250*u - 12113. Let s(z) = 0. What is z?
-215, -3, 2
Let y(d) be the first derivative of d**4/14 + 8*d**3/7 + 36*d**2/7 + 64*d/7 + 263. Factor y(w).
2*(w + 2)**2*(w + 8)/7
Determine z, given that 76/3*z - 8/3*z**2 + 80/3 - 4/3*z**3 = 0.
-5, -1, 4
Factor -42483 - u**2 - 753*u + 39*u + 5*u**2 - 7*u**2 + 0*u**2.
-3*(u + 119)**2
Let d(n) be the second derivative of -3*n**5/80 + 15*n**4/8 + 9*n**3/8 - 405*n**2/4 - 3*n + 1350. Factor d(l).
-3*(l - 30)*(l - 3)*(l + 3)/4
Let g = 146798 - 146796. Factor 1/4*i**3 + 0 + 5/4*i**g + i.
i*(i + 1)*(i + 4)/4
Let v(t) be the first derivative of 5*t**4/4 - 10*t**3 - 225*t**2/2 + 250*t - 9073. Factor v(n).
5*(n - 10)*(n - 1)*(n + 5)
Suppose -20*i = -21*i + 4. Let g(l) = l**2 - 4*l + 3. Let q be g(i). Let -10 + 4*j**3 - 15*j**2 + 27*j + j**q + 5*j**4 - 52*j = 0. Calculate j.
-1, 2
Let r = -8 + 15. Suppose -2*q = -5*a + 17, 2*a + 6*q - r = 7*q. Factor 4/17 + 8/17*g**2 - 2/17*g**a - 10/17*g.
-2*(g - 2)*(g - 1)**2/17
Let g(i) be the second derivative of 4*i**2 + 0 - 1/3*i**3 + 139*i + 1/40*i**5 - 1/6*i**4. Suppose g(k) = 0. Calculate k.
-2, 2, 4
Let n(b) be the second derivative of b**4/36 - 14*b**3/9 - 34*b**2 - 21*b - 3. Determine o, given that n(o) = 0.
-6, 34
Let x(k) = -10*k**2 + 13. Let p(r) = -r**2 + 1. Suppose 3*f - 7*y + 2*y - 3 = 0, 0 = -3*f + 4*y. Let g(d) = f*x(d) + 36*p(d). What is b in g(b) = 0?
-2, 2
Suppose -3*j + 68*m = 67*m - 20, 3*j = 2*m + 34. Factor -1/2*o**3 + 11/6*o + 1/6*o**j + 7/6.
-(o + 1)**2*(3*o - 7)/6
Let s = -2/392815 - 287932807/115487610. Let t = 1/147 - s. Solve -7/6*u**4 - 1/6*u - 19/6*u**3 + 1/3 - t*u**2 = 0 for u.
-1, 2/7
Let j(h) be the first derivative of h**4/12 + 200*h**3/9 + 66*h**2 + 310. Determine m, given that j(m) = 0.
-198, -2, 0
Suppose -20*u + 35*u = 60. Let b(p) be the first derivative of -u*p**3 + 6*p**2 + 0*p + 3/4*p**4 + 16. Factor b(i).
3*i*(i - 2)**2
Let q(r) = -7*r**2 - 100*r + 529. Let y(d) = -66*d**2 - 899*d + 4758. Let g(i) = 19*q(i) - 2*y(i). Find l, given that g(l) = 0.
-107, 5
Let y = -10183/21 - -3399/7. Factor 16/3 + y*d**3 - 2*d**2 - 4*d.
2*(d - 4)*(d - 1)*(d + 2)/3
Solve 624/5*j - 3/5*j**3 - 132 + 39/5*j**2 = 0 for j.
-10, 1, 22
Let r = 1507/3 - 2249/6. Let b = -126 + r. Suppose -3*j**2 + 0 + b*j + 3/2*j**3 = 0. Calculate j.
0, 1
Let x(m) be the second derivative of 0 + 1/80*m**5 + 53/16*m**4 + 47*m + 6241/8*m**2 + 2133/8*m**3. Factor x(d).
(d + 1)*(d + 79)**2/4
Find g such that g - 41*g**2 + 25*g**4 - 31*g**3 - 6*g**3 - 3*g**5 + 16 + 0*g + 5*g + 34*g**3 = 0.
-1, -2/3, 1, 8
Let h be 8/6*(-33)/22*-2. Factor 3*a**2 + h*a**3 + 9*a - 8 - a**2 - 9*a + 6*a**2 - 4*a.
4*(a - 1)*(a + 1)*(a + 2)
Let v = -2204 - -2204. Let s(i) be the first derivative of 0*i**2 + 8 + 4/3*i**3 + v*i + 1/2*i**4. Determine f so that s(f) = 0.
-2, 0
Let o(x) be the third derivative of -27*x**8/392 - 30*x**7/49 - 517*x**6/420 + 10*x**5/7 - 3*x**4/7 + 164*x**2 - 2. Find g such that o(g) = 0.
-3, 0, 2/9
Determine u so that 1060/9 - 526/9*u - 2/9*u**2 = 0.
-265, 2
Let i(t) = 5*t**3 - 14*t**2 - 20*t + 40. Let h(o) = -55*o**3 + 155*o**2 + 220*o - 440. Let w be (70/(-21))/((-6)/81). Let s(l) = w*i(l) + 4*h(l). Factor s(z).
5*(z - 2)**2*(z + 2)
Factor 1/4*s**4 - 1/4*s**3 - 65/4*s**2 + 0 + 225/4*s.
s*(s - 5)**2*(s + 9)/4
Let k(t) be the second derivative of 2*t**7/21 - 106*t**6/15 + 199*t**5/5 - 49*t**4 - 245*t - 1. Determine l so that k(l) = 0.
0, 1, 3, 49
Let j = -5423/378 + 821/54. Factor 1/7*c**2 - 5/7*c + j.
(c - 3)*(c - 2)/7
Factor 3*v**2 - 26*v**3 - 99 - 111 + 222 - 7*v**2 + 26*v - 8*v**2.
-2*(v - 1)*(v + 1)*(13*v + 6)
Let d(n) be the first derivative of -13/3*n**3 - 4*n + 3/2*n**4 - 1/5*n**5 + 40 + 6*n**2. Factor d(a).
-(a - 2)**2*(a - 1)**2
Let h(m) be the first derivative of 2/5*m**5 - 2/3*m**3 - 6/5*m**4 - 1/10*m**2 + 0*m + 5/6*m**6 - 56. Solve h(p) = 0 for p.
-1, -1/5, 0, 1
Let k(j) be the third derivative of j**7/504 - j**6/144 - j**5/4 - 79*j**4/24 + 38*j**2 + j. Let w(l) be the second derivative of k(l). Factor w(d).
5*(d - 3)*(d + 2)
Let o(x) be the third derivative of x**6/60 - 4*x**5 + 279*x**4 + 15376*x**3/3 + x**2 - 104. Suppose o(v) = 0. Calculate v.
-4, 62
Let j = 5139979/15 - 342661. Find g such that -2/3*g**3 + 0 + j*g**2 - 8/5*g = 0.
0, 2/5, 6
Let f(u) be the first derivative of u**5/75 + u**4/6 + 8*u**3/15 + 3*u**2/2 - u - 75. Let j(z) be the second derivative of f(z). Solve j(w) = 0.
-4, -1
Let q(t) = -t**3 + 33*t**2 - 374*t + 782. Let z(r) = -4*r**3 + 95*r**2 - 1121*r + 2345. Let h(d) = 7*q(d) - 2*z(d). What is w in h(w) = 0?
-49, 4
Let j(b) be the first derivative of b**7/168 + b**6/12 + b**5/8 - 25*b**4/12 - 10*b**3/3 + 97. Let x(u) be the third derivative of j(u). Factor x(h).
5*(h - 1)*(h + 2)*(h + 5)
Let s(k) be the third derivative of -k**7/420 + 73*k**6/120 - 1871*k**5/40 + 5183*k**4/12 - 5041*k**3/3 + 2*k**2 - 43*k - 16. Factor s(q).
-(q - 71)**2*(q - 2)**2/2
Let 6727*m**2 - 189*m**3 + 19 - 3*m**4 + 114*m + 75*m**3 - 6940*m**2 + 197 = 0. Calculate m.
-36, -2, -1, 1
Suppose 0 = 13*y - 16*y + 15. Suppose 3*a - 915 - 310 = -y*d, 4*a - 1638 = -2*d. Factor 3*m**3 + 413*m**4 - a*m**4 + 0*m**3.
3*m**3*(m + 1)
Let z(q) be the first derivative of q**7/84 + 5*q**6/24 - 3*q**5/8 - 5*q**4/3 - 2*q**3/3 + 22*q**2 + 259. Let c(h) be the third derivative of z(h). Factor c(l).
5*(l - 1)*(l + 8)*(2*l + 1)
Let c(v) = -v**2 + 2264. Let w be c(0). Let d = w + -24888/11. Factor d*u + 0 - 2/11*u**2.
-2*u*(u - 8)/11
Let x be ((-27)/(-4))/(5/20). Suppose p = 10 + x. Suppose p - 37 - 5*w**2 = 0. What is w?
0
Let v(w) = w**4 - w**3 + w - 1. Let j(n) = -5*n**4 + 217*n**3 + 14910*n**2 + 357694*n + 343006. Let k(g) = -j(g) - 6*v(g). Find l, given that k(l) = 0.
-70, -1
Let q(s) = -2*s**2 - 35*s + 24. Let w be 3/(-3)*(-2 - (-18 - 2)). Let n be q(w). Factor -6 + 12 + 3*o**2 - 1 - n*o - 2.
3*(o - 1)**2
Let s(v) be the first derivative of v**4/2 - 8*v**3/3 - 128*v**2 + 1536*v + 244. Find o, given that s(o) = 0.
-12, 8
Suppose -140*m = 155*m - 387*m + 223 + 53. Factor -3/2*w**m - 3/2*w + 3*w**2 + 0.
-3*w*(w - 1)**2/2
Let 13*