-(l - 1)**2*(l + 1)**3/3
Suppose 2*v - 11 + 3 = -4*i, 5*i - 19 = -4*v. Let x be v + 1 - 7 - 2/(-6). Factor -1/3*h**2 + x*h + 2/3.
-(h - 2)*(h + 1)/3
Let b(v) be the third derivative of 0*v**3 + 4/35*v**7 + 0*v**5 - 3/28*v**8 + 0*v + 0 + 21*v**2 - 1/30*v**6 + 0*v**4. Suppose b(q) = 0. Calculate q.
0, 1/3
Let q(j) = -11*j**2 - 606*j + 95475. Let h(t) = -31*t**2 - 1820*t + 286426. Let g(l) = -6*h(l) + 17*q(l). Factor g(v).
-(v - 309)**2
Let r(n) be the first derivative of -n**6/40 + n**2/2 - 33. Let d(p) be the second derivative of r(p). Find k, given that d(k) = 0.
0
Let n(s) be the third derivative of -s**7/315 + 17*s**6/180 + 17*s**5/15 + 43*s**4/9 + 88*s**3/9 - 3*s**2 - 2. Let n(a) = 0. Calculate a.
-2, -1, 22
Let z(d) be the third derivative of -d**6/360 - d**5/60 + d**4/8 - 5*d**3/18 - 6*d**2. Let z(c) = 0. What is c?
-5, 1
Let k(h) = 3*h - 1. Let n be k(1). Let l(f) = -3*f**5 + 2*f**4 + 5*f**3 + 2. Let d(p) = p**4 + p**3 + 1. Let o(u) = n*d(u) - l(u). What is j in o(j) = 0?
-1, 0, 1
Let a = 283 - 138. Find t such that -12*t**4 - 4*t**5 - 169*t**3 - 16*t**2 + a*t**3 + 2*t**5 = 0.
-2, 0
Let s be (((-2)/(-4))/(-1))/((-44)/16). Factor s*c + 0 + 4/11*c**2 + 2/11*c**3.
2*c*(c + 1)**2/11
Solve 0 - 1/6*l**2 + 23/6*l = 0.
0, 23
Let i(z) = 5*z**3 - 6*z**2 - 11*z - 6. Let a(p) = -11*p**3 + 11*p**2 + 20*p + 13. Let j(l) = 2*a(l) + 5*i(l). Factor j(u).
(u - 4)*(u + 1)*(3*u + 1)
Let m = 218/1185 - 4/79. Factor -2/5 - 4/15*h + m*h**2.
2*(h - 3)*(h + 1)/15
Let z(l) = -l**4 + l**3 - l**2 + l - 1. Let n(h) = -417*h**4 - 1332*h**3 - 171*h**2 + 102*h + 21. Let j(i) = n(i) + 3*z(i). Suppose j(s) = 0. Calculate s.
-3, -1/4, -1/5, 2/7
Let l(v) be the third derivative of v**6/180 - 13*v**5/54 + 41*v**4/108 + 7*v**3/9 - 164*v**2. Factor l(b).
2*(b - 21)*(b - 1)*(3*b + 1)/9
Let v be ((-6)/(-10))/(((-1)/(-25))/(8/160)). Determine a so that -69/4*a**2 + 6*a**3 + 21*a - 9 - v*a**4 = 0.
1, 2, 3
Let t(c) be the second derivative of c**5/50 + c**4/3 + 9*c**3/5 + 18*c**2/5 - c + 9. Find j, given that t(j) = 0.
-6, -3, -1
Let a be 7/(-4)*(-132)/99 + -1. Factor -a*f**2 - 1/6*f**4 + 5/6*f**3 + 0 + 2/3*f.
-f*(f - 2)**2*(f - 1)/6
Let x(n) be the third derivative of -n**8/112 - 5*n**7/21 - 28*n**6/15 - 32*n**5/15 - 34*n**2 - 1. Factor x(d).
-d**2*(d + 8)**2*(3*d + 2)
Find j such that -j**2 + 1217*j + 1217*j - 2445*j - 1 + 1 = 0.
-11, 0
Let m = 924 + -916. Let y(f) be the second derivative of 0*f**3 + 0 + 0*f**4 + 1/45*f**6 + 0*f**2 + m*f + 1/30*f**5. Solve y(z) = 0 for z.
-1, 0
Let o be (2/(-10))/((-9)/(-570)) + 13. What is y in 0 + 8/3*y + o*y**2 = 0?
-8, 0
Let v(i) = 4*i. Let y be v(1). Find s, given that 48*s + 15 + 6*s**3 + 54*s**2 + 3*s**y + 37*s**3 - 19*s**3 = 0.
-5, -1
Let i be 4/16 + 11/4. Let -2*h**2 + h**4 + h**3 + i*h**2 - h + 2 - 4*h**2 = 0. What is h?
-2, -1, 1
Factor 2/5*v**2 - 1/5*v + 0 - 1/5*v**3.
-v*(v - 1)**2/5
Let q = 1737 + -43423/25. Let z(t) be the first derivative of 0*t**2 - q*t**5 + 0*t + 1/10*t**4 + 4/15*t**3 + 12. Determine a so that z(a) = 0.
-1, 0, 2
Let u be 5/(270/(-171)) + 4 + 0. Let v(a) be the second derivative of -1/10*a**5 + 0 + 4*a**2 - 8/3*a**3 + u*a**4 - a. Factor v(n).
-2*(n - 2)**2*(n - 1)
Let k be ((-32)/(-20))/((-8)/(-10)*(-48)/(-32)). Determine y so that -10/3*y**2 - k*y**3 + 4/3 - 2/3*y = 0.
-2, -1, 1/2
Let t(h) be the second derivative of -h**7/840 - h**6/240 + h**4/3 - 10*h. Let w(x) be the third derivative of t(x). Factor w(s).
-3*s*(s + 1)
Suppose 2*f - 5*s = -4, 4*f + 25 = -2*s - 31. Let a be 1/4 - 21/f. Factor 18 + 22 + 6*r**2 - 4 - a*r**2 - 24*r.
4*(r - 3)**2
Suppose -3*p = -p - 14. Let k be -5 + p/((-28)/(-38)). Let -3/2*g**3 + 0*g**2 + 3 + k*g = 0. What is g?
-1, 2
Let h(q) be the first derivative of -q**3 - 31*q**2 + 5 - 13*q + 37*q**2 + q. Factor h(p).
-3*(p - 2)**2
Let m(y) be the second derivative of -4*y**5/9 - 41*y**4/27 - 2*y**3/27 + 4*y**2/9 - 535*y. Suppose m(n) = 0. What is n?
-2, -1/4, 1/5
Let v(k) be the third derivative of 0 + 16/3*k**3 + 0*k - 1/30*k**6 - 21*k**2 + 2/5*k**5 - 2*k**4. What is i in v(i) = 0?
2
Let m(b) = -41*b**4 - 3175*b**3 - 69930*b**2 + 94294*b - 21160. Let d(w) = -w**4 - w. Let n(q) = -6*d(q) + m(q). Solve n(v) = 0.
-46, 2/7, 1
Let w = -828/187 + 50/11. Let -w*r + 4/17 - 2/17*r**2 = 0. Calculate r.
-2, 1
Let z(j) = 4*j**2 + j + 9. Let l be z(0). Suppose -l = 3*c - 24. Factor 0*b**2 + 0*b - 1/2*b**4 - b**3 + 0 + 1/2*b**c.
b**3*(b - 2)*(b + 1)/2
Suppose 75*l**5 + 1698*l**3 + 1536 + 20736*l + 5598*l**3 + 19776*l**2 + 1257*l**4 - 51*l**4 = 0. What is l?
-4, -2/25
Factor 4 - 289*o**2 + 2*o**3 + 3*o + 285*o**2 - 2*o - 3*o**3.
-(o - 1)*(o + 1)*(o + 4)
Suppose 0 = -3*p + s - 32, -5*s = -4*p - 0*s - 61. Let o be (-3 - (p + 3))*1. Determine c, given that 4/3*c - 4*c**2 + 0 - 7/3*c**o = 0.
-2, 0, 2/7
Suppose 0 = -2*p + 3*p. Suppose -j + 2 = -p*j. Factor 11 - 3 - a**2 - 12*a + 8*a**j - 3*a**2.
4*(a - 2)*(a - 1)
Let g(n) = 2*n**2 + 24*n - 2. Let a be g(-12). Let j(c) = 2. Let q(b) = -b**3 - b**2 + 5*b - 21. Let d(v) = a*q(v) - 18*j(v). Find o, given that d(o) = 0.
-3, 1
Let f be ((-64)/6)/(-1 + (-2)/(-6)). Solve 9 - f*r - 21 - 23*r**2 + 19*r**2 = 0 for r.
-3, -1
Suppose -8*g - 16 = -56. Determine n, given that 13 - n - 49*n - g*n**2 - 95 - 43 = 0.
-5
Let b(v) be the third derivative of -v**5/300 - v**4/6 - 17*v**3/10 + 211*v**2. Factor b(p).
-(p + 3)*(p + 17)/5
Find v such that -85/4*v**2 + 169/8*v + 1/8*v**3 + 0 = 0.
0, 1, 169
Let t(k) be the third derivative of k**6/120 + 31*k**5/180 + 85*k**4/72 + 25*k**3/18 - 2*k**2 + 13*k. Suppose t(j) = 0. What is j?
-5, -1/3
Let w be (5 + 14/(-4))*2. Let u(q) be the second derivative of 0 - 1/6*q**4 - 3*q + 2/3*q**w - q**2. What is x in u(x) = 0?
1
Let n(c) be the second derivative of c**4/30 - 4*c**3/15 - 12*c**2/5 + c + 6. Factor n(d).
2*(d - 6)*(d + 2)/5
Let v(h) be the first derivative of -8/15*h**5 + 0*h - 37 + 1/3*h**6 - 11/6*h**4 + 32/9*h**3 - 4/3*h**2. Let v(c) = 0. What is c?
-2, 0, 1/3, 1, 2
Suppose 0 = 3*d - 12 - 0. Suppose 8*k = d*k + 32. Factor -4*o**4 + 2*o**2 + k*o**4 - 6*o**4.
-2*o**2*(o - 1)*(o + 1)
Suppose -4 = z - 2*v, 58 = v + 54. Factor 2/3*r + 0 + 2/3*r**z - 2/3*r**2 - 2/3*r**3.
2*r*(r - 1)**2*(r + 1)/3
Suppose 21*b - 5*p = 18*b + 133, -98 = -2*b + p. Suppose -b*k = -47*k - 8. What is j in -10*j**k + 2/3*j**3 - 250/3 + 50*j = 0?
5
Let f(k) be the third derivative of k**6/540 + k**5/135 - k**4/108 - 2*k**3/27 - 33*k**2. Solve f(q) = 0.
-2, -1, 1
Let w(t) = -2*t**2 - 11*t + 2. Let v be w(-8). Let g = -34 - v. Factor -4*z + z**4 - 2 + 3*z**3 + z**2 + z + 0*z**g.
(z - 1)*(z + 1)**2*(z + 2)
Factor 3/5*b**3 + 0 + 12/5*b**2 - 3*b.
3*b*(b - 1)*(b + 5)/5
Let s(v) be the second derivative of -v**6/6 + 95*v**4/4 + 500*v**3/3 + 360*v**2 + v + 27. Factor s(r).
-5*(r - 9)*(r + 1)*(r + 4)**2
Suppose 19 = -v - 2*y, 0 = -4*v + 5*y - 43 - 85. Let l be (-1101)/v + 8/36. Factor a + l - a**3 - 41.
-a*(a - 1)*(a + 1)
Suppose 13*g + 3 - 96 = -18*g. Factor -9/8*o - 3/4 + 0*o**2 + 3/8*o**g.
3*(o - 2)*(o + 1)**2/8
Solve -3*m**2 + 23712 + 8*m - 23697 + 4*m**2 = 0 for m.
-5, -3
Let r = 3623 + -1063. Find c such that r + 585*c - 1545*c + 9*c**2 - 5*c**3 + 111*c**2 = 0.
8
Let h(v) be the third derivative of 1/120*v**6 - 1/12*v**5 + 1/3*v**4 - 2/3*v**3 + 0*v + 0 + 9*v**2. Suppose h(y) = 0. Calculate y.
1, 2
Let t = -711/2 - -337. Let l = t + 19. Factor l*f**2 + f + 0.
f*(f + 2)/2
Let j(x) = -x**3 - 11*x**2 - 24*x - 10. Let v be j(-11). Factor 3*p + 3*p**2 - 1 + p**4 - 257*p**3 - 1 + v*p**3 - 2*p**2.
(p - 2)*(p - 1)**2*(p + 1)
Let j(o) = -6*o**4 - 120*o**3 + 160*o**2 - 32*o - 6. Let k(z) = -z**4 + z**3 - z**2 + 3. Let g(t) = j(t) + 2*k(t). What is d in g(d) = 0?
-16, 0, 1/4, 1
Factor -44/5*j + 72/5 + 4/5*j**2.
4*(j - 9)*(j - 2)/5
Suppose -51*m - 20 = -173. Let i(z) be the second derivative of 0 - 1/36*z**m + 0*z**2 + 1/72*z**4 + 5*z. Factor i(v).
v*(v - 1)/6
Suppose 3 = o - 5*f, 2*o = 5*o - 2*f - 9. Solve 15*l**o + l**2 + 11*l + 24*l**2 - l - 15*l**5 - 5*l**4 + 10*l**5 = 0 for l.
-1, 0, 2
Suppose -x + 0*x = 5*f - 13, 0 = 3*f + 3*x - 3. Let b = 14 + -9. Let -2*c**b - c + c**2 - 4*c**4 + 3*c**2 + f*c = 0. What is c?
-1, 0, 1
Let g be 3 + -2 - (-12)/3. Suppose 8*c + 1 = 2*k + 3*c, g*k + 4*c = 19. Factor 1/2*z + 3/2*z**2 + 0 + z**k.
z*(z + 1)*(2*z + 1)/2
Determine h, given 