 - 165*m**2 - 39*m = 0. What is m?
-3/19
Factor 54/5*p**2 + 4/15*p**5 + 24*p**3 + 0 + 74/15*p**4 + 0*p.
2*p**2*(p + 9)**2*(2*p + 1)/15
Let h(c) be the second derivative of -c**5/40 - 7*c**4/36 - 17*c**3/36 - c**2/2 - 136*c. Factor h(t).
-(t + 1)*(t + 3)*(3*t + 2)/6
Let g be 4 + 0*3/6. Suppose 4*b**5 + 5*b**3 + g*b**2 - 4*b**4 + b**3 - 3*b**3 - 7*b**3 = 0. What is b?
-1, 0, 1
Let i(d) be the third derivative of 0*d + 0 - 19*d**2 + 0*d**3 + 13/288*d**4 - 1/720*d**5. Solve i(v) = 0 for v.
0, 13
Let q = 1681 + -5041/3. Find k, given that -2/3 - k**3 + k + q*k**2 = 0.
-1, 2/3, 1
Let u = -10110 - -1213207/120. Let f(y) be the second derivative of 0*y**2 - 2*y - 1/8*y**4 - u*y**5 + 0 - 1/18*y**3. Factor f(b).
-b*(b + 1)*(7*b + 2)/6
Suppose 9*b - 4*b - 40 = 0. Let o = -5 + b. Determine h so that -8*h**4 - 7*h**4 + o*h**5 - 3 + 9*h - 10*h**2 + 6*h - 20*h**2 + 30*h**3 = 0.
1
Let j = 463/4 - 2309/20. Let g(h) be the first derivative of -1/5*h + 7 - 1/5*h**3 - j*h**2 - 1/20*h**4. What is u in g(u) = 0?
-1
Let o(y) be the first derivative of -1/24*y**6 - 1/16*y**4 + 0*y**2 + 0*y + 0*y**3 - 18 + 1/10*y**5. Factor o(x).
-x**3*(x - 1)**2/4
Let m(o) = -2*o - 3. Let f(n) = -6*n - 9. Let q(c) = 4*f(c) - 11*m(c). Let a be q(-3). Solve -11*p**3 + 5*p**2 + p + p + 2*p**3 - a*p**3 = 0 for p.
-1/4, 0, 2/3
Suppose 6*b + 0*b**4 + 2*b - 9*b**2 - 13*b + b**4 - 3*b**3 = 0. What is b?
-1, 0, 5
Let y(a) = 8*a**4 - 56*a**3 - 128*a**2 - 68*a. Let x(n) = -9*n**4 + 55*n**3 + 127*n**2 + 68*n. Let b(c) = 4*x(c) + 5*y(c). What is k in b(k) = 0?
-1, 0, 17
Let f be 4/10 - (-130)/50. Let s be (6/4)/f*10. Let -p + 28*p**2 + 6*p + 23*p**4 - 3*p**4 + 4*p**s + 3*p + 36*p**3 = 0. What is p?
-2, -1, 0
Let p = 135/8 - 401/24. Let t(c) be the third derivative of -1/84*c**8 - 5*c**2 + 0*c**3 + 0*c + 0*c**5 - p*c**4 + 0 + 1/15*c**6 + 0*c**7. Factor t(n).
-4*n*(n - 1)**2*(n + 1)**2
Let w(k) = k**3 + 6*k**2 - 3*k + 30. Let b be w(-7). Find r such that -4/7 - b*r**2 + 18/7*r = 0.
2/7, 1
Let g(c) = 78*c - 8. Let t be g(1). Suppose -9*i**3 + t*i**3 + 14*i**5 - 66*i**4 - 96*i + 80*i**2 - 2*i**3 + 5*i**3 - 32 = 0. Calculate i.
-1, -2/7, 2
Factor -15/2*q**2 - 1/2*q**4 - 9/2*q**3 - 7/2*q + 0.
-q*(q + 1)**2*(q + 7)/2
Suppose y = -5*u - 16, -3*u - 85 = 2*y - 81. Factor 0 - 2*l**y - 4/3*l - 1/3*l**5 - 13/3*l**3 - 4*l**2.
-l*(l + 1)**2*(l + 2)**2/3
Suppose -2*z - 6 + 10 = 0. Let -53 + 2*u**3 + u**z + 53 - 3*u**2 = 0. What is u?
0, 1
Suppose 2*w = -w + 120. Solve -240*y + 6*y**2 + w*y**4 + 240*y + 30*y**3 - y**2 = 0.
-1/2, -1/4, 0
Suppose m - 14*m**2 - m**3 + m**2 + 6*m**2 + 7*m**2 = 0. What is m?
-1, 0, 1
Let g be (-5)/6*2408/(-1505). Solve -18*h**4 + 6*h**2 - g*h - 40/3*h**5 + 0 + 8/3*h**3 = 0.
-1, 0, 1/4, 2/5
Factor 12/5*o**2 - 2/15*o**3 - 52/5 - 118/15*o.
-2*(o - 13)*(o - 6)*(o + 1)/15
Let c be 1/(-1*(-2)/(-10)). Let a be (c - 1)/(10/(-5)). Suppose -10*x**3 - 21*x**4 - 12 - 48*x - 63*x**3 - 3*x**5 - 75*x**2 + 16*x**a = 0. What is x?
-2, -1
Let v be 72/(-8)*42/(-35)*(-40)/(-36). Determine n so that 69/4*n**2 + 3 + 9/4*n**4 - 21/2*n**3 - v*n = 0.
2/3, 1, 2
Let p(y) be the third derivative of y**8/210 + 2*y**7/525 - 11*y**6/50 - 16*y**5/75 + 8*y**4/15 - 131*y**2. Let p(j) = 0. What is j?
-4, -1, 0, 1/2, 4
Let h(k) be the second derivative of -k**5/10 + 8*k**4/3 - 5*k**3 + 3*k + 7. Determine b so that h(b) = 0.
0, 1, 15
Let c(y) be the first derivative of -y**6/90 + 2*y**5/15 - 2*y**4/3 + y**3/3 + 12. Let t(l) be the third derivative of c(l). Factor t(a).
-4*(a - 2)**2
Let d(l) = l**2 + 5*l - 640. Let p be d(23). Let i(c) be the third derivative of -4*c**2 - 1/480*c**6 - 1/240*c**5 + 0 + 0*c + 0*c**3 + 0*c**p. Factor i(x).
-x**2*(x + 1)/4
Let p = -461/20 + 774/5. Let q = -131 + p. Factor 1/2 + 1/4*w**2 + q*w.
(w + 1)*(w + 2)/4
Let n = -25 - -11. Let q = 18 + n. Factor o**3 - 5*o**3 + q*o**5 + 0*o**3.
4*o**3*(o - 1)*(o + 1)
Determine i so that -32/5*i**3 + 24/5 - 56/5*i**2 + 4*i + 12/5*i**5 + 32/5*i**4 = 0.
-3, -1, -2/3, 1
Let 41*c**4 - 3*c**3 + 3*c - 4*c**4 + 6*c**4 - 82*c**2 + 39*c**2 = 0. Calculate c.
-1, 0, 3/43, 1
Factor 24*s**5 + 3/2*s**2 + 0 + 0*s + 12*s**4 - 21/2*s**3.
3*s**2*(s + 1)*(4*s - 1)**2/2
Let u(i) = i**3 + 8*i**2 + 3. Let a be u(-8). Factor -7*f - f**5 + 7*f - 2*f**a + 2*f**4 + f**4.
-f**3*(f - 2)*(f - 1)
Suppose 3*i = 4*i - 14. Suppose 28 + i = 3*f. What is y in -2*y - f + 3*y**3 - y**2 + 14 = 0?
-2/3, 0, 1
Let q(p) = -3*p**2 - 99*p + 102. Let x(y) = 6*y**2 + 198*y - 204. Let v(s) = 11*q(s) + 6*x(s). Suppose v(l) = 0. What is l?
-34, 1
Factor -1/4*b**2 + 5*b - 3 - 3/4*b**3.
-(b - 2)*(b + 3)*(3*b - 2)/4
Let r(g) = -g. Let y(a) = 2*a**2 - 14*a + 50 - 13*a + 3*a. Let p(k) = -4*r(k) + y(k). Solve p(j) = 0.
5
Let j(c) be the third derivative of -c**5/140 - 5*c**4/24 + 2*c**3/7 - 109*c**2 - 2. Solve j(l) = 0 for l.
-12, 1/3
Let l be (-9)/(2/((-304)/(-12))). Let y = l - -160. Solve w**4 - 4*w - 42*w**5 + y*w**5 + 4*w = 0 for w.
-1/4, 0
Factor 416/7 + 240/7*j + 6*j**2 + 2/7*j**3.
2*(j + 4)**2*(j + 13)/7
Let a(x) = -16*x**5 - 21*x**4 + 7*x**3 - 13*x**2 - 6*x - 11. Let f(l) = -l**5 - l**4 + l**3 - l**2 - l - 1. Let q(r) = -4*a(r) + 60*f(r). Factor q(c).
4*(c - 1)*(c + 1)**3*(c + 4)
Let g = 2/13 - 72/637. Let x = g - -88/245. Factor -x*v**3 + 2/5*v**4 + 0*v**2 + 0 + 0*v.
2*v**3*(v - 1)/5
Let h(g) = g**3 - g - 1. Let s be h(2). Suppose 3*q + 2*q + 5 = -5*j, 4*q = 2*j + 14. Factor w**5 - 3*w**s + 6*w**4 - q*w + 2*w - 4*w**3.
-2*w**3*(w - 2)*(w - 1)
Let a(p) be the second derivative of -p**6/240 - p**5/80 + 5*p**3/3 - 9*p. Let v(m) be the second derivative of a(m). Factor v(s).
-3*s*(s + 1)/2
Let u(x) be the first derivative of -5*x**8/336 + x**7/14 - x**6/12 + 13*x**2/2 - 6. Let b(z) be the second derivative of u(z). Determine t so that b(t) = 0.
0, 1, 2
Let i(y) = -10*y**2 - 17*y - 6. Let a be (-95)/38*16/10. Let v(n) = -12*n**2 - 18*n - 6. Let m(t) = a*i(t) + 3*v(t). Find f such that m(f) = 0.
-3, -1/2
Let g(q) be the first derivative of -q**6/2160 - q**5/90 - q**4/9 - 5*q**3/3 + 18. Let b(z) be the third derivative of g(z). Factor b(s).
-(s + 4)**2/6
Let h(i) be the third derivative of -3*i**7/280 + i**6/120 + i**5/2 + 3*i**4/2 - 35*i**3/6 + 33*i**2. Let g(s) be the first derivative of h(s). Factor g(c).
-3*(c - 3)*(c + 2)*(3*c + 2)
Let b be (-9 + 4 - -12) + -4 + -3. Suppose 1/5*o**4 + 2/5*o - 3/5*o**2 + b*o**3 + 0 = 0. What is o?
-2, 0, 1
Let m(c) be the third derivative of c**7/735 - 199*c**6/420 + 2211*c**5/35 - 25047*c**4/7 + 95832*c**3/7 - 290*c**2. Find k such that m(k) = 0.
1, 66
Let p = 16910/6339 - 2/2113. Factor 4*j + 8/3 - p*j**2.
-4*(j - 2)*(2*j + 1)/3
Let a(s) = 5*s + 12. Let c(n) = 14*n + 37. Let p(f) = -11*a(f) + 4*c(f). Let u be p(-8). Factor 16*g**4 + 20 - 20*g**2 + 10*g**5 - 2*g - u*g**3 - 3 - 13.
2*(g - 1)*(g + 1)**3*(5*g - 2)
Let b(j) be the second derivative of j**7/14 - 113*j**6/10 + 84*j**5/5 + 594*j. Factor b(h).
3*h**3*(h - 112)*(h - 1)
Let -88/7*l - 48/7 + 2*l**3 - 36/7*l**2 + 2/7*l**5 + 12/7*l**4 = 0. What is l?
-3, -2, -1, 2
Factor 2/3*t**3 + 1/3*t**2 - 3/2 - 2*t - 1/6*t**4.
-(t - 3)**2*(t + 1)**2/6
Let v(i) be the third derivative of 0*i + 1/120*i**6 - 1/24*i**4 + 1/420*i**7 + 0*i**3 - 17*i**2 + 0 - 1/120*i**5. Factor v(h).
h*(h - 1)*(h + 1)*(h + 2)/2
Let s = 732800 - 589903829/805. Let h = s + -2/161. Solve 1/5*j - h - 1/5*j**3 + 1/5*j**2 = 0 for j.
-1, 1
Let f = -110/29 - -2866/725. Let j(h) be the first derivative of 4/15*h**3 - 3 - f*h**5 + 1/5*h**2 + 0*h + 0*h**4 - 1/15*h**6. Factor j(l).
-2*l*(l - 1)*(l + 1)**3/5
Let o = 9958 + -9958. What is p in 0 + 2/15*p**4 + 2/15*p**2 - 4/15*p**3 + o*p = 0?
0, 1
Let s = 848 + -5934/7. Factor -10/7*m + s + 18/7*m**2 - 2*m**3 + 4/7*m**4.
2*(m - 1)**3*(2*m - 1)/7
Factor -17/3*z + 7/3*z**2 + 2.
(z - 2)*(7*z - 3)/3
Let o(t) = -t**3 - 2*t**2 + 3*t + 5. Let g be o(-5). Solve 0*p**2 + 60*p + 5*p**2 - g*p = 0 for p.
0, 1
Let q = 1889/180 + -94/9. Let j(l) be the third derivative of 0*l + 0*l**3 + q*l**5 - 1/70*l**7 + 1/4*l**4 - 1/20*l**6 + 0 - 4*l**2. Factor j(b).
-3*b*(b - 1)*(b + 1)*(b + 2)
Determine q, given that -5*q**3 - 141*q - 142*q**2 + 0*q**3 + 127*q - 7*q**3 - 8*q**3 = 0.
-7, -1/10, 0
Let k(a) = 3*a**2 - 20*a + 29. Let t(p) = -11*p - 50. Let x be t(-7). Let u(m) = 39*m**2 - 261*m + 378. Let f(l) = x*k(l) - 2*u(l). Solve 