*l + 2/5*l**5 + 0 = 0.
-1, 0, 2
Let p(b) be the first derivative of -b**6/6 - 3*b**5/5 + 7*b**4/2 + 12*b**3 - 20*b**2 - 96*b - 1662. What is d in p(d) = 0?
-4, -2, 2, 3
What is g in -4357/4*g**2 - 1849/2*g + 13/4*g**3 + 168 = 0?
-1, 2/13, 336
Let l be (-68)/(-1088) - 14/480. Let v(f) be the third derivative of 36*f**2 - 1/5*f**3 + 1/150*f**5 - l*f**4 + 0*f + 0. Factor v(h).
2*(h - 3)*(h + 1)/5
Let k be (-5)/((-30)/(-18)) + (-68)/(-33) + 1. Let t(s) be the first derivative of 4/11*s - k*s**3 - 12 + 1/11*s**2. Solve t(h) = 0 for h.
-1, 2
Let y(s) = -s**2 - 8*s - 1. Let l be y(-7). Let f(o) = 3*o + 111. Let i be f(-36). Suppose -10*w**i - 26*w**2 + 0*w**4 + 12*w**2 - 2*w**4 - l*w = 0. What is w?
-3, -1, 0
Let z(u) be the first derivative of 3267*u + 111 + 99/2*u**2 + 1/4*u**3. Suppose z(x) = 0. What is x?
-66
Let g(l) be the first derivative of 6*l**3 - 79*l**2 + 140*l - 789. Find c, given that g(c) = 0.
1, 70/9
Let d(b) = -21*b**2 - 6136*b - 12760. Let y(c) = -10*c**2 - 3080*c - 6380. Let t(k) = 5*d(k) - 11*y(k). Suppose t(r) = 0. Calculate r.
-638, -2
Suppose 2*v - 12 = 64. Let z = v - 42. Let j(o) = -o**2 - 2*o + 3. Let x(w) = w**2 + w - 2. Let r(s) = z*j(s) - 5*x(s). Factor r(b).
-(b - 2)*(b - 1)
Let f(z) be the second derivative of -z**4/6 + 9*z**3 + 124*z**2 - 15*z + 31. Factor f(h).
-2*(h - 31)*(h + 4)
Let j(z) be the second derivative of -1/90*z**6 - 59 + 2*z + 2/9*z**3 - 1/15*z**5 - 5/6*z**2 + 1/6*z**4. Let j(p) = 0. What is p?
-5, -1, 1
Factor 3/5 - 9*p**2 - 51/5*p**3 - 9/5*p - 18/5*p**4.
-3*(p + 1)**3*(6*p - 1)/5
Factor 8 - 10*r + r**3 - 26*r**2 - 25*r**2 + 44*r**2 + 8*r**2.
(r - 2)*(r - 1)*(r + 4)
Suppose 3*o + 5*y - 16 = 0, -210*o - 4 = -211*o - y. Solve 7/3*j + 1/3*j**3 - 8/3*j**o + 0 = 0 for j.
0, 1, 7
Let x = 72404 + -72401. Factor -2/11*u + 4/11*u**2 - 2/11*u**x + 0.
-2*u*(u - 1)**2/11
Let t = 1625 + -8156/5. Let q = 103/15 + t. Determine n so that 4/9*n**2 - 2/9*n**3 + 0 + q*n = 0.
-1, 0, 3
Let s(w) = -w**2 + 17*w - 67. Let t be s(7). Determine u so that u**2 - 11*u**2 + t*u**3 - 2*u**3 + 179*u - 179*u = 0.
0, 10
Let n(i) be the first derivative of i**5 + 175*i**4/4 - 495*i**3 - 69255*i**2/2 + 15741. Solve n(p) = 0 for p.
-27, 0, 19
Suppose -2*k - 3*c - 34 = -95, -k + 27 = c. Let -k*t + 20/3 - 15*t**3 - 125/3*t**2 = 0. What is t?
-2, -1, 2/9
Determine l so that 44/3 - 1/3*l**4 - 8*l - 43/3*l**2 + 8*l**3 = 0.
-1, 1, 2, 22
Suppose 14*u - 18 = 38. Let v(t) be the second derivative of -1/15*t**5 + 6*t - 1/3*t**u + 0 + 0*t**2 + 8/9*t**3. Factor v(m).
-4*m*(m - 1)*(m + 4)/3
Let c(h) be the first derivative of 0*h - 3/2*h**4 - 2/5*h**5 + 3*h**2 + 26 + 2/3*h**3. Factor c(l).
-2*l*(l - 1)*(l + 1)*(l + 3)
Suppose -252/5*x**3 - 96/5*x + 15*x**4 + 0 - 6/5*x**5 + 60*x**2 = 0. Calculate x.
0, 1/2, 2, 8
Find f, given that 1588/5*f**3 - 146/5*f**4 + 9232/5*f - 5312/5 - 2/5*f**5 - 5864/5*f**2 = 0.
-83, 2, 4
Suppose -5*q + 50 = 5*g, 4*g + 6*q - q - 45 = 0. Factor -3*y + 15*y**3 - 3*y + 12*y**2 + 3*y**3 + 9*y + 12*y**4 + 3*y**g.
3*y*(y + 1)**4
Let f(o) = 10*o**5 - 14*o**4 + 30*o**3 + 6*o. Let n = -62 - -57. Let z(m) = 9*m**5 - 15*m**4 + 29*m**3 + 5*m. Let w(q) = n*f(q) + 6*z(q). Solve w(b) = 0 for b.
0, 2, 3
Let k(c) be the third derivative of -c**6/60 + 301*c**5/30 + 151*c**4/6 - 4673*c**2. Factor k(m).
-2*m*(m - 302)*(m + 1)
Let u be 2/(-8) + 9/(-12). Let n = 6 + u. Factor 2*r**n - 59 - 36*r**2 + 20*r**3 + 4*r**4 + 10*r**4 - 10*r - 44*r + 113.
2*(r - 1)**2*(r + 3)**3
Let w(t) be the second derivative of -1/2*t**4 + 0*t**5 - 38*t + 0*t**2 + 0 + 2/3*t**3 + 1/15*t**6. Let w(i) = 0. Calculate i.
-2, 0, 1
Let t be -1 - 2070/(-27) - (-2)/(-3). Determine l, given that -22*l**3 - 13*l**4 - 5*l**5 + t*l**4 - 2*l**5 + 8*l**2 - 25*l**4 - 16*l**3 = 0.
0, 2/7, 1, 4
Let b(r) be the third derivative of -1/360*r**6 + 0*r + 1/2520*r**7 - 5/72*r**4 - 4*r**2 - 1/40*r**5 - 7/72*r**3 - 1. Solve b(v) = 0.
-1, 7
Factor 528 - 49*l**4 + 40716*l - 3546 - 5278*l**3 + 102 - 141373*l**2.
-(l + 54)**2*(7*l - 1)**2
Let b = -3 + 5. Let a be (9/(-12))/(504/96)*-3. Let 1/7*h**3 + h + 5/7*h**b + a = 0. What is h?
-3, -1
Let y(s) be the second derivative of 14/5*s**4 - 53/5*s**3 + 56*s + 9/50*s**5 + 66/5*s**2 + 0. What is t in y(t) = 0?
-11, 2/3, 1
Suppose 57 + 33 = 10*x. Suppose x*u - 39 = -4*u. Suppose 81*c**4 + 16*c**2 - 12*c**u + 4*c - 97*c**4 - 4*c**5 + 12*c = 0. What is c?
-2, -1, 0, 1
What is n in -14*n**2 + 478/9*n + 2/9*n**3 - 118/3 = 0?
1, 3, 59
Let m = 2159 - 1967. Let w = 195 - m. Find t, given that 2/11*t**5 + 32/11*t - 4/11*t**4 - 64/11 - 16/11*t**w + 32/11*t**2 = 0.
-2, 2
Let i = -48938/5 + 9788. Let n(y) be the second derivative of -2/5*y**6 + 0 + 9*y - 2/21*y**7 - i*y**5 + 0*y**3 + 0*y**2 + 0*y**4. Factor n(q).
-4*q**3*(q + 1)*(q + 2)
Let y(u) be the second derivative of u**6/150 + 67*u**5/100 + 13*u**4/6 - 2*u - 1939. Determine q so that y(q) = 0.
-65, -2, 0
Let o(m) = -19*m**2 - 29*m - 2. Let s(w) be the first derivative of -7 + 5*w + 59/2*w**2 + 37/3*w**3. Let k(v) = 7*o(v) + 4*s(v). Factor k(c).
3*(c + 2)*(5*c + 1)
Let x(j) = 4*j**2 + 492*j + 3680. Let s be x(-8). Factor 1/3*p**5 + s*p + 0*p**2 + 2/3*p**4 + 1/3*p**3 + 0.
p**3*(p + 1)**2/3
Suppose -3*k + 12 = 0, -y - 3 + 14 = -k. Let t(m) = -m**3 + 2*m**2 + 2. Let x be t(2). Factor 3*f**2 - 10*f**3 - 26*f + 8*f**3 - 16 + x*f - y*f**2.
-2*(f + 2)**3
Let l(a) be the first derivative of 0*a + 0*a**2 + 5*a**3 + 5/4*a**4 - 78. Factor l(c).
5*c**2*(c + 3)
Suppose 6*p - 314 = -782. Let q = 83 + p. Determine c so that 14/3*c**3 + 16/3*c**4 + 0*c**2 + 0*c + 0 + 2/3*c**q = 0.
-7, -1, 0
Let -3 - 9/2*c + 0*c**4 + 3*c**2 + 6*c**3 - 3/2*c**5 = 0. What is c?
-1, 1, 2
Let d(i) be the second derivative of -98*i**5/25 - 168*i**4/5 - 47*i**3/5 - i**2 - 4339*i. Find t, given that d(t) = 0.
-5, -1/14
Let k(w) = w**3 + 258*w**2 - 14*w - 3609. Let c be k(-258). Factor -25/4*p**4 + 1/2*p**2 - 1/4*p**5 + 47/4*p + 23/4 - 23/2*p**c.
-(p - 1)*(p + 1)**3*(p + 23)/4
Solve 2/17*f**2 + 6/17*f**4 + 16/17*f - 8/17 - 16/17*f**3 = 0.
-1, 2/3, 1, 2
Let v be (-78)/(-27) + 1*(-7)/(-63). Let -27/4*k**v - 15*k**2 - 3*k + 0 = 0. What is k?
-2, -2/9, 0
Factor 5*k**2 - 327*k + 634 - 258*k - 280 + 226.
5*(k - 116)*(k - 1)
Suppose 50 = 8*g - 53 - 1. Let r(z) be the third derivative of 4/135*z**5 + 0*z + g*z**2 + 2/9*z**3 + 13/108*z**4 + 0 + 1/540*z**6. Suppose r(m) = 0. What is m?
-6, -1
Suppose a = 2*b + 7, -8976*b = -3*a - 8981*b - 1. Factor 9/5 + 2*p - 2*p**a - 1/5*p**4 - 8/5*p**2.
-(p - 1)*(p + 1)**2*(p + 9)/5
Let v(k) be the first derivative of k**3/3 + 786*k**2 + 617796*k - 5997. Suppose v(q) = 0. What is q?
-786
Factor 0 - 1664/5*b + 4/5*b**2.
4*b*(b - 416)/5
Let m(y) be the first derivative of 7*y**6/2 - 78*y**5/5 - 633*y**4/4 - 226*y**3 - 72*y**2 - 49. Find x, given that m(x) = 0.
-3, -1, -2/7, 0, 8
Let v(w) = w**3 - 3*w**2 + 153*w - 3. Let l(k) = -6*k**3 + 12*k**2 - 768*k + 16. Let n(i) = 3*l(i) + 16*v(i). Factor n(q).
-2*q*(q - 6)*(q + 12)
Let b(a) be the first derivative of 83/3*a**5 - 2135/6*a**4 - 12005/3*a + 6370/3*a**3 + 109 - 29155/6*a**2 - 5/6*a**6. Factor b(t).
-5*(t - 7)**4*(3*t + 1)/3
Suppose 4*x + 0*z = z + 31, -38 = -2*x - 4*z. Suppose 0 = -f + 11 - x. Factor 14 - 16*g + 145*g**f + 4 - 17*g**2 + 112*g.
2*(8*g + 3)**2
Let i(o) be the first derivative of 118 - 4*o**3 - o**2 + 63*o - 6*o**2 - 65*o - 30. Let i(s) = 0. Calculate s.
-1, -1/6
Let t(q) = 7*q + 18. Let v be t(-2). Let n = 6 - v. Factor -f**2 - f**n + 41 - 31 - 8*f.
-2*(f - 1)*(f + 5)
Let w(k) be the first derivative of -5*k**3/9 - 31*k**2/2 - 136*k/3 - 1984. Find q, given that w(q) = 0.
-17, -8/5
Suppose 440/9 + 2/9*x**2 + 98/9*x = 0. Calculate x.
-44, -5
Let c = -81 + 91. Suppose c*k = 15*k - 15. Factor 0 + 0*o - 2/9*o**5 - 10/9*o**4 - 8/9*o**2 - 16/9*o**k.
-2*o**2*(o + 1)*(o + 2)**2/9
Suppose 0 = -4*c - 16, -5*c + 66 = 3*v - 2*c. Suppose 10 = -4*d + v. Factor -44*z**2 - d + 48*z**2 + 2*z - 4*z**3 + 2*z.
-4*(z - 1)**2*(z + 1)
Let b = 793212/11 + -72110. Solve 0*q + b*q**5 + 8/11*q**4 - 2/11*q**3 + 0 - 8/11*q**2 = 0.
-4, -1, 0, 1
Let a be (-9)/6 - (17/(-2) + 6). Let w(g) = -2*g**2 - g - 1. Let p(j) = 25*j**2 - 20*j + 10. Let m(v) = a*p(v) + 10*w(v). Factor m(y).
5*y*(y - 6)
Factor s**3 + 2155*s**2 - 4318*s**2 + 45*s + 2151*s**2 - 54.
(s - 6)*(s - 3)**2
Let k be 6 - (1150