-2*q**2*(q - 1)*(9*q - 2)/17
Factor 30*a**4 - 13*a**2 - 10*a**4 - 7*a**2 + 5*a - 5*a**3.
5*a*(a - 1)*(a + 1)*(4*a - 1)
Let i(a) be the first derivative of 11*a + 12 - 1/10*a**5 - 4*a**2 + 1/2*a**4 + 0*a**3. Let o(t) be the first derivative of i(t). Suppose o(p) = 0. What is p?
-1, 2
Suppose 52 = 5*p - 8. Factor -43*w**3 + 5*w - 4*w + 39*w**3 + p*w**2 + 3*w - 12.
-4*(w - 3)*(w - 1)*(w + 1)
Let x = -25/2 + 13. Let b(t) = 5*t - 132. Let g be b(27). Factor l + 0 + x*l**4 - 1/2*l**2 - l**g.
l*(l - 2)*(l - 1)*(l + 1)/2
Let o be 3/1 - (-6 + 11) - -2. Let j(y) be the second derivative of 0 + o*y**2 - 1/6*y**4 + y + 1/3*y**3. Factor j(l).
-2*l*(l - 1)
Let i(u) be the second derivative of u**4/3 + 10*u**3/3 - 84*u. Find c such that i(c) = 0.
-5, 0
Suppose t = -0*t - z + 6, 0 = -2*t - 5*z + 24. Let w(u) be the second derivative of -8*u + 1/9*u**t - 1/54*u**4 - 1/90*u**5 + 1/27*u**3 + 0. Factor w(g).
-2*(g - 1)*(g + 1)**2/9
Let t = 191/273 - 5/39. Let m(b) = -10*b + 62. Let w be m(6). Let -2/7*c**w - t*c + 0 = 0. Calculate c.
-2, 0
Suppose 24*m - 58 - 38 = 0. Let c(g) be the first derivative of 1/14*g**m + 4/35*g**5 + 0*g + 1/21*g**6 + 0*g**3 - 2 + 0*g**2. Solve c(s) = 0 for s.
-1, 0
Let y = 79 + -44. Let x be (-32 + y)*-1*(-1)/9. Solve 1/3*j**4 + 0*j**3 + x - 2/3*j**2 + 0*j = 0 for j.
-1, 1
Let z(m) be the second derivative of -35*m**4/12 + 10*m**3 + 10*m**2 + 143*m. Factor z(a).
-5*(a - 2)*(7*a + 2)
Let f(t) = t**5 + 2*t**4 - 5*t**2 + 1. Let p be 2/1*60/24. Let g(n) = n**4 + n**2 - 1. Let m(c) = p*f(c) + 5*g(c). Factor m(v).
5*v**2*(v - 1)*(v + 2)**2
Suppose 0*t - 2*t - 5*x = -35, -x - 44 = -3*t. Let f = t - 12. Determine b, given that -7*b + 6*b**f + 6*b**2 + 3*b**2 + 7*b + b**4 = 0.
-3, 0
Let j = -279 - -279. Let o(d) be the second derivative of 3*d + 1/165*d**6 + j - 1/33*d**4 + 1/110*d**5 + 0*d**2 + 0*d**3. Find v such that o(v) = 0.
-2, 0, 1
Let m(y) = -5*y - 37. Let l be m(-6). Let k(q) = -7*q**2 + q - 9. Let t(s) = 10*s**2 - 2*s + 13. Let v(h) = l*k(h) - 5*t(h). Suppose v(a) = 0. What is a?
1, 2
Let r(f) be the first derivative of -f**5/15 + 2*f**4/3 - 8*f**3/3 + 11*f**2/2 - 6. Let d(t) be the second derivative of r(t). Factor d(q).
-4*(q - 2)**2
Suppose 4*z + 10 - 70 = 0. Let f be (1 - 13/z)/(24/120). Factor 1/3 - 1/3*y**5 - 1/3*y - f*y**2 + 1/3*y**4 + 2/3*y**3.
-(y - 1)**3*(y + 1)**2/3
Let m(d) be the second derivative of d**5/40 - d**4/12 - d**3/4 - 113*d. Factor m(u).
u*(u - 3)*(u + 1)/2
Let j(q) be the first derivative of -q**4/12 - q**3/6 + 11*q**2/12 + q + 4. Factor j(y).
-(y - 2)*(y + 3)*(2*y + 1)/6
Let f(p) be the third derivative of p**6/120 + 7*p**5/60 - 17*p**4/24 + 3*p**3/2 + p**2 - 31. Factor f(z).
(z - 1)**2*(z + 9)
Let d = 61369/15 + -4091. Determine w so that 2/5 + d*w - 2/15*w**2 = 0.
-1, 3
Solve -78*i - 116/3 - 40*i**2 - 2/3*i**3 = 0.
-58, -1
Let f(j) be the third derivative of j**6/120 + j**5/15 - 19*j**4/24 + 7*j**3/3 + 60*j**2. Let f(b) = 0. What is b?
-7, 1, 2
Suppose -5*j = -14 + 39, 5*g = 5*j + 45. Suppose -16 = -5*h + 3*a - a, 7 = -g*h - 5*a. Determine z so that -11*z**2 + 7*z**h + 0*z**2 + 16*z - 16 = 0.
2
Let t(v) be the second derivative of -v**6/120 + v**5/80 + 5*v**4/16 + 23*v**3/24 + 5*v**2/4 + 3*v - 11. Factor t(l).
-(l - 5)*(l + 1)**2*(l + 2)/4
Let q(f) be the first derivative of -5*f**3/9 + 25*f**2/6 + 250*f/3 - 42. Let q(g) = 0. What is g?
-5, 10
Let g(w) = -225*w**2 + 1254*w + 30. Let b(y) = -32*y**2 + 179*y + 5. Let i(m) = 27*b(m) - 4*g(m). Find r such that i(r) = 0.
1/12, 5
Let d(k) = k**2 + 7*k + 3. Let l(f) be the third derivative of 1/2*f**3 + 0*f + 5*f**2 + 0 + 1/60*f**5 + 1/3*f**4. Let h(s) = 4*d(s) - 3*l(s). Factor h(t).
(t + 1)*(t + 3)
Let y(u) be the first derivative of 1/9*u**3 + 0*u**2 + 2/15*u**5 - 12 + 0*u - 1/4*u**4. Factor y(j).
j**2*(j - 1)*(2*j - 1)/3
Let t(c) be the second derivative of -c**8/2240 + c**7/280 - c**6/120 + c**3/6 + 6*c. Let v(i) be the second derivative of t(i). What is r in v(r) = 0?
0, 2
Let v = -8 - 9. Let h = 23 + v. Suppose 33*d**3 - 2*d - 14*d**3 + h*d**4 + 2*d**2 - 9*d**3 = 0. Calculate d.
-1, 0, 1/3
Let x be 2/(3*(-1)/(-12)). Factor -9*q**2 + 0*q**4 + x*q**2 + 4*q**4 - 3*q**2.
4*q**2*(q - 1)*(q + 1)
Let u(q) be the third derivative of 0*q + 2/25*q**5 + 4*q**2 + 0 + 2/525*q**7 + 2/15*q**3 + 2/75*q**6 + 2/15*q**4. Factor u(i).
4*(i + 1)**4/5
Let h(n) be the second derivative of -n**4 - 6*n**3 - 4*n**2 + 6*n - 3. Let v(o) = -o**2 + o + 1. Let f(i) = h(i) + 8*v(i). Factor f(b).
-4*b*(5*b + 7)
Let u be (-3)/(-5) - 10/350. Let s be 3 + -6 + -54*12/(-168). Factor -s*w + 2/7*w**2 + u.
2*(w - 2)*(w - 1)/7
Let b(j) be the second derivative of j**8/672 + j**7/140 + j**6/80 + j**5/120 - j**2/2 - 4*j. Let v(o) be the first derivative of b(o). Factor v(c).
c**2*(c + 1)**3/2
Suppose 0 - 8/3*p**2 + 8/3*p + 2/3*p**3 = 0. Calculate p.
0, 2
Factor 4*l - 10*l**2 - 65 + 89 + 3*l**3 + 3*l - 5*l**2 - l.
3*(l - 4)*(l - 2)*(l + 1)
Find d, given that 19*d**3 - 16*d**4 + 14*d + 66*d**4 + 15*d**5 + 51*d**4 - 61*d**2 + 8*d**4 = 0.
-7, -1, 0, 1/3, 2/5
Suppose 3*k + 4*j = 8*k - 30, 4*j + 28 = 4*k. Suppose 0*g - 2/3*g**4 + 0*g**3 + 4/3*g**k - 2/3 = 0. Calculate g.
-1, 1
Let v(q) be the second derivative of 0 + 40*q - 1/20*q**5 + 1/6*q**3 - 5/8*q**2 - 1/120*q**6 + 1/8*q**4. Factor v(g).
-(g - 1)**2*(g + 1)*(g + 5)/4
Suppose -28/3*f**2 - 4/3*f**4 - 4*f + 0 - 20/3*f**3 = 0. Calculate f.
-3, -1, 0
Let p(k) be the first derivative of k**4/20 - 7*k**3/3 - 37*k**2/5 - 86. Find l, given that p(l) = 0.
-2, 0, 37
Suppose 0 = -9*t + 4*t + 20. Determine n, given that t*n + 2*n + n**2 - 4 - 3*n = 0.
-4, 1
Let p(u) = u**3 - 15*u**2 + 51*u - 67. Let v(z) = -1 + 2*z**2 - 3*z**2 + z + 0*z**2. Let i(g) = p(g) - 3*v(g). Factor i(d).
(d - 4)**3
Let a(p) = 12*p**4 + 81*p**3 - 585*p**2 + 492*p. Let v(w) = w**4 - w. Let j(n) = -a(n) + 15*v(n). Find d such that j(d) = 0.
0, 1, 13
Let u(m) = -m + 10. Let l be u(-10). Determine y so that -l*y**5 + 13*y**3 + 2*y**3 - 16*y**2 + 11*y**2 = 0.
-1, 0, 1/2
Let m(o) be the third derivative of 0 + 0*o**3 - 2*o**2 + 1/30*o**5 + o - 1/12*o**4. Factor m(i).
2*i*(i - 1)
Factor -54*f**3 - 9/5*f - 81/5*f**5 + 324/5*f**4 + 84/5*f**2 + 0.
-3*f*(f - 3)*(3*f - 1)**3/5
Let u be (-4 + -9)*(-2 + 1). Let s = -11 + u. Factor -14*b + 19*b**2 + 6 - 9*b**2 + 0 - s*b**3.
-2*(b - 3)*(b - 1)**2
Let o(h) = -11*h + 13. Let x be o(1). Let c(d) be the third derivative of 1/3*d**3 + 0*d - 2*d**x + 0 - 1/8*d**4 + 1/60*d**5. What is j in c(j) = 0?
1, 2
Let i(w) be the first derivative of 33*w**5/20 + 5*w**4 + 7*w**3/2 - 3*w**2 + 17*w - 8. Let k(n) be the first derivative of i(n). Solve k(z) = 0 for z.
-1, 2/11
Let -33/4*v**3 - 18 + 369/4*v**2 + 165/2*v = 0. Calculate v.
-1, 2/11, 12
Let c(j) be the first derivative of -2*j**2 - 28*j - 12. Let f be c(-7). Factor 7/8*m**2 + f + 7/8*m**3 + 1/4*m**4 + 1/4*m.
m*(m + 1)*(m + 2)*(2*m + 1)/8
Let d(w) be the second derivative of -7*w + 1/3*w**4 - 3/5*w**5 - 4*w**2 + 2*w**3 + 2/15*w**6 + 0. Factor d(c).
4*(c - 2)*(c - 1)**2*(c + 1)
Let v(a) be the first derivative of 14*a**5/85 + 33*a**4/34 + 64*a**3/51 - 12*a**2/17 - 89. What is m in v(m) = 0?
-3, -2, 0, 2/7
Let c(i) be the third derivative of i**5/60 - 5*i**4/24 + 2*i**3/3 - 2*i**2. Factor c(g).
(g - 4)*(g - 1)
Let j(x) be the second derivative of 1/24*x**4 - 1/3*x**3 - x**2 + 0 - 4*x + 1/40*x**5. Find v, given that j(v) = 0.
-2, -1, 2
Let b = -38 + 68. Suppose 0 = b*m - 29 - 31. Suppose 2/7 + 1/7*q**m + 3/7*q = 0. Calculate q.
-2, -1
Determine v, given that 376*v**3 - 50*v - 398*v**3 + v**4 - 70*v**2 - 3*v**4 = 0.
-5, -1, 0
Let -2*p + 4/15 - 16/15*p**2 = 0. Calculate p.
-2, 1/8
Let m be (-3 - 135/(-12))*(25 - 5). Let r be (-6)/21*(m/(-10))/11. Factor -r*h**3 + 0*h - 3/7*h**4 - 1/7*h**2 + 0 - 1/7*h**5.
-h**2*(h + 1)**3/7
Factor -42 - 36*p + 3/2*p**3 - 9/2*p**2.
3*(p - 7)*(p + 2)**2/2
Let f(p) be the second derivative of -1/12*p**4 + 23*p + 0*p**2 - 1/3*p**3 + 0. Factor f(z).
-z*(z + 2)
Let n be ((-11)/(-33)*0)/1. Let -1/2*h**4 + 0 + n*h**2 - 1/4*h**3 - 1/4*h**5 + 0*h = 0. Calculate h.
-1, 0
Suppose 0 + 10/13*p + 14/13*p**3 + 22/13*p**2 + 2/13*p**4 = 0. What is p?
-5, -1, 0
Let v(y) be the third derivative of y**6/160 - y**5/60 - 5*y**4/24 + 4*y**3/3 + y**2 - 67*y. Suppose v(x) = 0. Calculate x.
-8/3, 2
Let r be (-9