
3*(w - 1)**2*(w + 3)
What is d in 4/5*d**2 - 12*d - 64/5 = 0?
-1, 16
Let t be 4*-1*4*(-45)/432. Find a such that -1/3*a**5 + 2*a**2 + 0*a + t*a**3 + 0 - 2/3*a**4 = 0.
-3, -1, 0, 2
Suppose -5*k + 2*u + 48 = 0, 0 = 3*k - 2*u - u - 27. Factor -3*y**3 - 2*y**3 + k*y**3 + 4*y - 9*y**3.
-4*y*(y - 1)*(y + 1)
Let d(z) be the third derivative of 9/100*z**5 + 0*z**3 + 0 + 0*z + 12*z**2 + 3/560*z**8 - 9/200*z**6 - 1/350*z**7 - 1/20*z**4. Suppose d(v) = 0. What is v?
-2, 0, 1/3, 1
Let g(t) be the second derivative of -t**6/105 - 3*t**5/70 + 3*t - 15. Solve g(p) = 0.
-3, 0
Suppose 3*q + 4*x = 2*x - 79, 3*q + 5*x = -85. Let z be 2*(-6)/(48/q). Factor -45/4*k**3 - 13/2*k**2 + z*k**4 + 9*k - 2.
(k - 2)*(k + 1)*(5*k - 2)**2/4
Let u(l) = l**3 - 8*l**2 - 26*l - 5. Let t be u(11). Suppose 67*y**3 - 6*y**4 + t*y**3 - 147*y**3 + 2*y**5 = 0. What is y?
-1, 0, 4
Let m(y) be the first derivative of 7*y**6/24 - 3*y**5/4 + 5*y**4/12 - 7*y**2 - 11. Let r(i) be the second derivative of m(i). Let r(v) = 0. What is v?
0, 2/7, 1
Let g(r) = -r**2 + 10*r + 13. Let d be g(11). Suppose -4*b**2 + 2*b**2 + 4*b**2 + 2*b**d - 4*b**4 = 0. Calculate b.
-1, 0, 1
Let f = 43 - 38. Factor -10*c - f*c**3 + 20*c + 5*c**2 - 3*c + 15 + 18*c.
-5*(c - 3)*(c + 1)**2
Suppose -2*q = -6, q = 4*s + 4*q - 293. Let 5*u**3 - s*u + 71*u - 4*u**3 + 4*u**2 = 0. What is u?
-4, 0
Suppose 4 + 15 = 5*n - 2*t, 0 = -2*n + 5*t + 16. Determine p so that -p + p**n - 2*p**2 + 8 + p**3 + 3*p - 10*p = 0.
-2, 1, 2
Let l(x) = 5*x**3 + 195*x**2 + 185*x - 395. Let t(u) = 5*u**3 + 194*u**2 + 185*u - 396. Let r(h) = -6*l(h) + 5*t(h). Determine m so that r(m) = 0.
-39, -2, 1
Let a(o) be the second derivative of -o**5/90 + o**4/18 + 10*o**3/27 - 8*o**2/3 - 98*o - 1. Factor a(b).
-2*(b - 4)*(b - 2)*(b + 3)/9
Suppose 5*x - 8 = x. Suppose -7 + 5 = -3*j - 5*r, j + 5*r + 6 = 0. Factor x*c - j*c**2 - c**3 - c**3 - 4*c.
-2*c*(c + 1)**2
Let -9*b**4 + 28*b**2 + 36*b**2 - 19*b**2 - 12*b - 24*b**3 = 0. Calculate b.
-4, 0, 1/3, 1
Let a = 21 - 4. Let b = a + -9. Factor -8*r - 5*r**3 - 1 + 3*r**3 - b*r**2 + 1.
-2*r*(r + 2)**2
Let s = 75964/3 - 25320. What is a in 64/3*a + 32/3*a**2 + s*a**5 - 4/3*a**4 - 64/3 - 32/3*a**3 = 0?
-2, 1, 2
Let w(n) = 3*n**2 - 15*n - 6. Let q = -32 + 25. Let v(h) = -3*h**2 + 16*h + 7. Let i(g) = q*w(g) - 6*v(g). Factor i(d).
-3*d*(d - 3)
Let y(c) be the second derivative of -c**7/1260 + c**6/135 - 8*c**3/3 + 17*c. Let r(b) be the second derivative of y(b). Suppose r(l) = 0. Calculate l.
0, 4
Suppose -4 = -4*r - 4*a, 0 = 2*r - 0*a - 2*a - 6. Factor 64 - 10*o + 76*o - 12*o**2 - 2*o**4 - r*o - 14*o**3.
-2*(o - 2)*(o + 1)*(o + 4)**2
Suppose 7*l - 3*l = v + 4, -2*v = -3*l + 28. Let u = v - -22. Determine t so that 3/2*t + 3/2*t**u - 3/2 - 3/2*t**3 = 0.
-1, 1
Let k = -98 - -144. Let h be (-10)/42 + k/69. Factor 6/7 - h*v**2 + 3/7*v.
-3*(v - 2)*(v + 1)/7
Let s(b) = -8*b**2 - 184*b - 588. Let i(y) = 3*y**2 + 73*y + 235. Let o(p) = 12*i(p) + 5*s(p). Factor o(j).
-4*(j + 5)*(j + 6)
Let i(n) be the first derivative of -n**3 + 6*n**2 - 9*n + 62. Suppose i(m) = 0. Calculate m.
1, 3
Solve 89*t**3 + 7*t**5 + 46*t**4 + 53212 + 18*t**2 - 27*t - 53212 - 5*t**3 = 0 for t.
-3, -1, 0, 3/7
Let c(i) be the second derivative of -i**7/2520 - i**6/360 - i**5/120 - i**4/72 - 11*i**3/6 - 13*i. Let d(l) be the second derivative of c(l). Factor d(v).
-(v + 1)**3/3
Let q(g) = 26*g**3 - 100*g**2 + 72*g + 178. Let z(k) = -8*k**3 + 33*k**2 - 24*k - 59. Let c(h) = -6*q(h) - 20*z(h). Determine v, given that c(v) = 0.
-1, 2, 14
Let t(l) = -l**3 - 18*l**2 - 2*l - 20. Let n be t(-18). Factor n*w**2 - 4*w**3 - 8*w - 6*w**3 + 169*w**4 - 167*w**4.
2*w*(w - 2)**2*(w - 1)
Let i(m) = -m**3 - 2*m**2 + 3. Let b be i(0). Factor -k**4 - 7*k**b + 4*k**3 - 498*k + 497*k - 3*k**2.
-k*(k + 1)**3
Let q be 8 + (-133)/14 - (-1)/(-2). Let w be (q - 1) + 135/39. Factor 8/13*o - w - 2/13*o**2.
-2*(o - 3)*(o - 1)/13
Let n(o) be the first derivative of -4/9*o**6 + 6/5*o**5 + 0*o**2 + 0*o - o**4 + 16 + 2/9*o**3. Factor n(h).
-2*h**2*(h - 1)**2*(4*h - 1)/3
Let w(c) = 7*c - c**2 - 58 + 27 + 31. Let d(b) = 8*b + 0*b**2 - 5*b**2 + 4*b**2. Let v(n) = -6*d(n) + 7*w(n). Solve v(i) = 0.
0, 1
Let s(q) be the second derivative of -q**5/50 + 2*q**4/5 - 11*q**3/15 - 47*q + 3. Factor s(y).
-2*y*(y - 11)*(y - 1)/5
Let u(p) be the third derivative of 25/96*p**4 + p**2 + 17/120*p**5 + 0 + 0*p - 5/1344*p**8 + 1/40*p**6 - 1/105*p**7 + 1/4*p**3. Find m, given that u(m) = 0.
-1, -3/5, 2
Let v be -1 - 9/(-2) - (82 + -80). Suppose -3 + 3/2*t**2 + v*t = 0. Calculate t.
-2, 1
Suppose 0 = 440*v - 425*v. What is m in 8/7*m + v - 2*m**3 - 24/7*m**2 = 0?
-2, 0, 2/7
Let w = -12060/37 - -29/148. Let f = w + 328. Factor -f*g + 3/4*g**2 + 0.
3*g*(g - 3)/4
Let j(d) be the second derivative of d**7/168 + d**6/40 + d**5/80 - d**4/16 - d**3/12 + 109*d. Factor j(y).
y*(y - 1)*(y + 1)**2*(y + 2)/4
Let i(u) = 5*u + 80. Let a be i(-19). Let y(b) = -2*b**2 - 29*b + 15. Let w be y(a). Let 0 + 0*f**2 + 2/7*f**5 + w*f + 2/7*f**3 - 4/7*f**4 = 0. Calculate f.
0, 1
Let h = -155/198 + 8/11. Let g = h + 599/90. Factor -g*y + 9/5 - 12/5*y**2.
-3*(y + 3)*(4*y - 1)/5
What is k in -2592 + k**4 - 4*k**4 - 944*k**2 - 80*k**3 + 1289*k + 3*k**4 - 2*k**4 - 4169*k = 0?
-18, -2
Let f = -389 - -389. Let j(y) be the third derivative of 0*y**7 + 0*y**3 + 0 - 1/60*y**6 + 1/336*y**8 + f*y + 0*y**5 + 4*y**2 + 1/24*y**4. Factor j(z).
z*(z - 1)**2*(z + 1)**2
Let z(q) be the third derivative of -2/3*q**3 + 0*q - 1/180*q**6 + 0*q**4 + 0 - 4*q**2 - 1/180*q**5. Let t(m) be the first derivative of z(m). Factor t(b).
-2*b*(3*b + 1)/3
Let r(m) = 4*m**5 + 4*m**4 + 6*m**3 + 2*m**2 - 10*m + 6. Let d(b) = b**5 + b**4 - b**3 + b**2. Let s(y) = 6*d(y) - r(y). Solve s(o) = 0.
-3, -1, 1
Let h(t) = -12*t**2 + t. Let n(r) = -r**3 - 4*r**2 - 3*r + 2. Let g be n(-3). Let k(d) = 12*d**2. Let f(y) = g*k(y) + 3*h(y). Factor f(b).
-3*b*(4*b - 1)
Suppose 88*f - 68*f**2 + 145*f**2 - 76*f**2 + 1936 = 0. What is f?
-44
Factor 0 + 8/11*g + 2/11*g**3 + 10/11*g**2.
2*g*(g + 1)*(g + 4)/11
Let i be (10 - 1)*((-39)/(-63))/13. Factor 3/7*o**4 + 0 - 3/7*o**2 + i*o**5 - 3/7*o**3 + 0*o.
3*o**2*(o - 1)*(o + 1)**2/7
Let a = -6840 + 6843. Let -86/3*h**a + 146/3*h**2 - 112/3*h + 32/3 - 2/3*h**5 + 22/3*h**4 = 0. Calculate h.
1, 4
Let j(g) be the second derivative of -g**4/48 + 31*g**3/24 + 2*g - 207. Factor j(v).
-v*(v - 31)/4
Let u(n) = n**2 + 8*n. Let l be u(-8). Suppose 2*a - 4 - 2 = l. Factor -4*h**2 + 4*h**2 + 3*h**a - h + 2*h - 5*h**2 + 9*h**4.
h*(h + 1)*(3*h - 1)**2
Let b = 1509499/5555 + 70/1111. Let q = b - 271. Factor 2/5*h**2 + 2/5 + q*h.
2*(h + 1)**2/5
Let c = -66 + 72. Let q be (2*(-1)/6)/(c/(-36)). Factor 2/11*g**3 + 6/11*g**q + 6/11*g + 2/11.
2*(g + 1)**3/11
Let k(w) be the second derivative of w**5/5 - 32*w**4/3 + 512*w**3/3 - 4*w - 1. Let k(d) = 0. Calculate d.
0, 16
Solve 18/11*k**2 + 4/11*k + 0 + 14/11*k**3 = 0.
-1, -2/7, 0
Let f(c) be the first derivative of -c**3/6 + 9*c**2/2 + 19*c/2 + 44. Factor f(r).
-(r - 19)*(r + 1)/2
Let -96/7 - 78/7*m + 18/7*m**2 = 0. Calculate m.
-1, 16/3
Let p(i) be the first derivative of -5*i**6/72 - i**5/4 - i**4/3 - 2*i**3/9 - 2*i**2 + 6. Let q(l) be the second derivative of p(l). Factor q(h).
-(h + 1)*(5*h + 2)**2/3
Suppose -17 = -8*p + 23. Factor -6*l**4 + 60*l**2 + 3*l**4 + 30*l**3 + 40*l + p*l**4 + 3*l**4.
5*l*(l + 2)**3
Let k(g) be the first derivative of -g**3/5 - 6*g**2/5 + 3*g - 7. Find j such that k(j) = 0.
-5, 1
Let z(v) = -3*v**2 + 1. Let y(d) = -44*d**2 - 30*d - 58. Let u(m) = -2*y(m) + 28*z(m). Factor u(f).
4*(f + 3)*(f + 12)
Suppose c + r - 8 = -0*c, -2*r - 10 = 0. Suppose -c*h + 16*h = 6. Factor -15/4*d + 9/4 + 7/4*d**h - 1/4*d**3.
-(d - 3)**2*(d - 1)/4
Let a be 4/(-22) - (-748)/121. Factor -a*q - 1 - 3*q**2 - 6 + 2 + 2.
-3*(q + 1)**2
Suppose -3*q**3 - 3/2*q**4 + 6 + 12*q + 9/2*q**2 = 0. What is q?
-2, -1, 2
Let m(y) = 2*y**2 + 98*y + 1148. Let p(c) = 6*c**2 + 295*c + 3442. Let h(q) = -7*m(q) + 2*p(q). Factor h(z).
-2*(z + 24)**2
Let v(m) be the second derivative of 7*m + 0*m**3 + 0*m**2 + 0 + 1/16*m**4. Determine y so that v(y) = 0.
0
Let k(x) be the first derivative of x**6/300 + x**5/200 + 10*x - 9. Let o(f) be the first derivative of k(f). Suppose o(i) = 0. Calculate i.
-1, 0
Suppose 0 = -5*r + 5, r - 4 = 