15120 + p**5/15 - 10*p**2. Let k(n) be the third derivative of r(n). Factor k(h).
2*h**3*(h - 2)
Let q(g) = -g**2 + 1. Let z(s) = -6*s**2 - 24*s - 18. Suppose 0 = 7*c + 8 - 1. Let p(j) = c*z(j) + 3*q(j). Find u such that p(u) = 0.
-7, -1
Let t(q) be the first derivative of q**6/600 + q**5/25 - 9*q**4/40 + 22*q**3/3 - 14. Let i(g) be the third derivative of t(g). Factor i(v).
3*(v - 1)*(v + 9)/5
Let g(v) = v**3 + 63*v**2 + 445*v + 44. Let t be g(-8). Let x be (1/2)/((-3)/(-2)). Find w, given that x*w**t - w**2 + 1/3*w + 2/3 - 1/3*w**3 = 0.
-1, 1, 2
Let v(d) be the third derivative of 0 + 1/12*d**4 - 12*d**2 + 0*d + 2/3*d**3 - 1/15*d**5 - 1/60*d**6. Factor v(c).
-2*(c - 1)*(c + 1)*(c + 2)
Let a be 6*(-3)/(-63) - ((-1180)/(-210) - 6). Factor -2*u**3 + a - 10/3*u**2 - 2/3*u.
-2*(u + 1)**2*(3*u - 1)/3
Suppose 0*f - 126/13*f**4 + 0 - 30/13*f**3 - 2/13*f**2 - 98/13*f**5 = 0. Calculate f.
-1, -1/7, 0
Let a(z) be the first derivative of -z**4/16 - 89*z**3/12 - 1935*z**2/8 + 2025*z/4 - 18. Factor a(n).
-(n - 1)*(n + 45)**2/4
Let z(l) be the third derivative of 7/60*l**4 - 4/75*l**5 - 1/840*l**8 - 2/15*l**3 + 0 + 0*l + 10*l**2 + 2/525*l**7 + 1/150*l**6. Find c, given that z(c) = 0.
-2, 1
Solve -2/7*s**2 + 2*s - 24/7 = 0 for s.
3, 4
Suppose 16*l - 3*l - 26 = 0. Let w(x) be the first derivative of -2/3*x**6 + 2 + 1/2*x**l + 11/5*x**5 + 0*x + 1/3*x**3 - 9/4*x**4. Find h such that w(h) = 0.
-1/4, 0, 1
Let q = 189 + -186. Determine p, given that 0 + 1/4*p**4 + 1/4*p**q + 0*p + 0*p**2 = 0.
-1, 0
Suppose -73*s + 78*s + 36 = 3*p, -3*s - 12 = 3*p. Find y, given that 0 + 1/2*y + 0*y**3 + 1/4*y**4 - 3/4*y**p = 0.
-2, 0, 1
Suppose -14*n + 19*n + 50 = 0. Let i be (-51)/(-18) + (-5)/n. Let -6*z**4 + 14/3*z**5 + 0 + 6*z**2 - 4/3*z - i*z**3 = 0. What is z?
-1, 0, 2/7, 1
Let g = 1683 - 1683. Suppose g*l - 1/5*l**2 + 1/5 = 0. What is l?
-1, 1
What is n in 157*n**2 + 0 + 283*n**3 - 231*n**3 + 47*n**2 + 4*n**4 + 0 + 252*n = 0?
-7, -3, 0
Suppose -l = -0*l + 8. Let g(u) = u**2 + 8*u + 4. Let w be g(l). Factor -11*y**2 + 3*y**2 + 3*y + 6*y**3 - y - 2*y**w + 2*y**2.
-2*y*(y - 1)**3
Let a(j) be the second derivative of -7*j**5/30 + 65*j**4/18 - 74*j**3/9 + 16*j**2/3 + 269*j. What is t in a(t) = 0?
2/7, 1, 8
Suppose 0 = 2*x - 6*x + 8. Let p = 13348/3 + -4447. Find t such that p*t**3 + 2/3*t - 3*t**x + 0 = 0.
0, 2/7, 1
Let w be (-22)/33 - 124/(-42) - 2. Let j(k) be the first derivative of -w*k**2 + 0*k - 10/7*k**3 + 32/35*k**5 - 12/7*k**4 + 3. Factor j(n).
2*n*(n - 2)*(4*n + 1)**2/7
Let s(m) be the second derivative of -68/3*m**4 + 8*m + 7/5*m**5 + 310/3*m**3 - 1 + 100*m**2. Let s(f) = 0. Calculate f.
-2/7, 5
Let r(d) be the first derivative of 2*d**3/3 - 32*d**2 + 62*d + 22. Factor r(k).
2*(k - 31)*(k - 1)
Let n = 7005/91 - 984/13. Factor 1/7*u**2 - 10/7*u + n.
(u - 9)*(u - 1)/7
Let b(q) be the third derivative of 4/15*q**6 + 0*q - 2/15*q**5 - 22*q**2 + 8/3*q**3 - 7/6*q**4 - 1/84*q**8 + 0 - 4/105*q**7. Solve b(g) = 0.
-4, -1, 1
Let r(v) be the third derivative of v**5/90 + 2*v**4/3 + 10*v**2 - 20*v. Factor r(u).
2*u*(u + 24)/3
Factor 0 + 3/5*i**4 + 477/5*i**3 + 3744*i**2 - 3840*i.
3*i*(i - 1)*(i + 80)**2/5
Let k = 11 + -2. Let y be k/3 - 6 - -3. Factor -1 + 3*n + 25*n**2 + y - 28*n**2 + n**3.
(n - 1)**3
Suppose -173/2*i - 135*i**2 + 3/2*i**5 - 33/2 - 75*i**3 - 17/2*i**4 = 0. What is i?
-3, -1, -1/3, 11
Let l = -132 - -136. Let o be 1/(l - -1)*1. Determine g so that 0*g + 0 - o*g**4 + 1/5*g**3 + 0*g**2 = 0.
0, 1
Suppose 0 + 4/3*o**2 - 4/3*o**4 - 4*o**3 + 4*o = 0. What is o?
-3, -1, 0, 1
Suppose 9*c - 144 = -0*c. Let v be 1 + c/5 + (-36)/9. Factor 2/5 + z + v*z**3 + 4/5*z**2.
(z + 1)**2*(z + 2)/5
Let r = 91 - 169. Let f be (-6)/10 - r/5. Determine a so that -3*a**3 + 15*a**3 + a**4 - 4*a**2 + f*a**4 = 0.
-1, 0, 1/4
Let x be 9272/3416 + (2/7)/1. Factor -1/10*n**2 + 0 + 1/5*n - 1/5*n**x + 1/10*n**4.
n*(n - 2)*(n - 1)*(n + 1)/10
Let x = 14 + -10. Suppose -3*n**2 + 3*n - 3*n**4 + x*n**4 - 3*n - 2*n**3 = 0. What is n?
-1, 0, 3
Let t = -100/27 - -227/54. Find d such that 8 + t*d**2 - 4*d = 0.
4
Let b = -3962 - -3964. Factor 0 + 0*v - 3/5*v**3 + 6/5*v**b.
-3*v**2*(v - 2)/5
Suppose -395*m = -396*m + 2. Let n be 2/(-8) + 3/12. Factor -2/7*y**m + n + 6/7*y.
-2*y*(y - 3)/7
Let d(n) be the second derivative of 12*n + 1/3*n**4 + 4*n**2 + 0 + 2*n**3. Factor d(f).
4*(f + 1)*(f + 2)
Suppose -1 = 5*s + 40*s - 1. What is c in s + 8/11*c - 2/11*c**2 = 0?
0, 4
Suppose -569*a - 30 = -574*a. Let s(b) be the second derivative of -3/20*b**5 - 3*b**2 + 0 - b**4 + a*b - 5/2*b**3. Factor s(t).
-3*(t + 1)**2*(t + 2)
Solve 0 - 1/9*v**2 - 17/9*v = 0.
-17, 0
Let r(v) be the second derivative of 1/20*v**5 - 1/126*v**7 + 1/30*v**6 + 12*v + 0 - 11/36*v**4 + 1/3*v**3 + 0*v**2. Solve r(m) = 0 for m.
-2, 0, 1, 3
Let l(b) = b**3 + b**2 - 12*b + 1. Let n(t) = 10*t**3 + 6*t**2 - 65*t + 4. Let q(d) = 5*l(d) - n(d). What is m in q(m) = 0?
-1, -1/5, 1
Let r be (30/(-45))/(7/(-21)). Find y such that -4/3 - 4*y**r - 4/3*y**3 - 4*y = 0.
-1
Let j(i) = i + 13. Let u be j(-9). Suppose 2*g - 10 = -u, -2*y - 5*g = -29. Let s**4 + y*s**2 - s**2 - s**4 - 3*s**4 - 3 = 0. Calculate s.
-1, 1
Let p(f) = -f**3 - f**2 + f. Let s(m) = 3*m**3 + 2*m**2 - 5*m + 2. Suppose -3*g - 26 = -0*g - 4*n, -2*g = -3*n + 18. Let k(b) = g*p(b) - 3*s(b). Factor k(l).
-3*(l - 1)**2*(l + 2)
Let -472*z**2 - 24*z**3 + 3024*z + 20*z**3 - 5274*z - 11674*z = 0. What is z?
-59, 0
Let c = 1553434/1117865 + -2/11767. Let n = c - -4/19. Find l such that -4/5 + n*l + l**2 = 0.
-2, 2/5
Let g(s) be the first derivative of -1/2*s**4 + 0*s**2 - 6 + s**6 + 4/3*s**3 + 0*s - 8/5*s**5. Determine p so that g(p) = 0.
-2/3, 0, 1
Let k(g) = 2*g**5 - g**3 - 2*g**2 - 1. Let n(m) = -4*m**5 + 7*m**4 + 6*m**3 - 2*m**2 - 4*m + 3. Let l(u) = -3*k(u) - n(u). What is o in l(o) = 0?
-2, -1/2, 0, 1
Let q(b) be the second derivative of b**5/90 - 7*b**3/27 - 2*b**2/3 + 152*b. What is s in q(s) = 0?
-2, -1, 3
Let -9/7*n**3 + 15/7*n**4 + 0*n - 27/7*n**2 + 0 - 3/7*n**5 = 0. Calculate n.
-1, 0, 3
Let s(z) be the first derivative of 5/4*z**4 - 25*z**2 + 5*z**3 - 2 + 0*z. Find x such that s(x) = 0.
-5, 0, 2
Let z = -14 - -19. Find s, given that -2*s**z - 147*s**4 + 143*s**4 - 4*s**3 + 2*s**3 = 0.
-1, 0
Let q(a) = -a + 0*a**3 + 5*a**3 - 8*a**2 + 11 - a. Let h(s) = -6*s**3 + 8*s**2 + 2*s - 12. Let r(f) = 3*h(f) + 4*q(f). Factor r(v).
2*(v - 4)*(v - 1)*(v + 1)
Let z(q) = -4*q - 15. Let d be z(-5). Suppose -20 - 25 = -5*x. Factor -9*i**2 + 5*i - d*i - 3*i**4 + x*i**3 + 3*i.
-3*i*(i - 1)**3
Let n be (-50 - (-15469)/310)/((-4)/10 + 0). Find a, given that -n*a**3 + a + 0 + 0*a**2 = 0.
-2, 0, 2
Suppose 2*x + 3*q + 0*q = 0, x + 4*q + 10 = 0. Factor -43*w**2 + x*w**4 + 8*w**3 + 23*w**2 - 2*w**5 + 20*w**2.
-2*w**3*(w - 4)*(w + 1)
Suppose d - y = 6, -5*d - 5*y - 5 = 5. Suppose -4*b + d*b = -4. Determine m so that 2*m**b + 0*m**2 - 2*m**2 - m**2 = 0.
0
Let y be (-804)/(-760) - (-2)/(-5). Let s = -3/19 + y. Solve -1/3 + 1/2*u**3 + s*u + 4/3*u**2 = 0 for u.
-2, -1, 1/3
Suppose -2*v = a, -5*v = -2*v + 3. Let y(q) be the first derivative of 6/35*q**5 + 0*q - 1/14*q**4 + 1/7*q**a + 5 - 2/7*q**3. Solve y(w) = 0.
-1, 0, 1/3, 1
Let n be 35*((-20)/5)/(-20). Let t be 70/(-20)*(-8)/n. Factor -128*d**3 + 9*d**2 + 12 + 129*d**3 + 24*d + t.
(d + 1)*(d + 4)**2
Let m(p) be the first derivative of 3*p**2 + 4*p + 0*p**3 - 1/2*p**4 + 6. Factor m(b).
-2*(b - 2)*(b + 1)**2
Let w = 125/156 - 1/780. Let y(l) be the first derivative of -16*l + 5*l**4 - 16*l**2 - 4/3*l**3 - 2/3*l**6 + w*l**5 + 6. Find a such that y(a) = 0.
-1, 2
Let v = 118 - 167. Let a = -97/2 - v. Factor 0 - b**3 - a*b + 5/4*b**2 + 1/4*b**4.
b*(b - 2)*(b - 1)**2/4
Let s(a) be the first derivative of -2*a**3/11 + 2*a**2/11 - 118. Factor s(t).
-2*t*(3*t - 2)/11
Let z(c) = -c**3 - c**2 + c + 2. Let o(m) = -m**2 - 9*m - 10. Let d be o(-8). Let p be z(d). Solve -j**4 + j**5 - 5*j**4 + j**3 + 8*j**p = 0 for j.
-1, 0
Find z such that 0*z**2 - 1/7*z**3 + 9/7*z + 0 = 0.
-3, 0, 3
Let o(n) be the first derivative of -n**6/42 + 9*n**4/28 - 4*n**3/21 - 6*n**2/7 - 61. Determine m, given that o(m) = 0.
-3, -1, 0, 2
Let u(d) be the first derivative of 0*d - 3/2*d**2 - 23 - d**3. Suppose u(h) = 0. What is h?
-1, 0
Let v(a) be the second derivative of -14*a**3 + 18*a**2 + 0 - 3/4*