27822*h - h**4.
-(h - 90)**3*(h + 4)
Let v be 24/12*-3*6/(-4). Let f be -22 + 17 - (-57)/v. Let 4*y**2 + 4/3 - f*y**3 - 4*y = 0. What is y?
1
Suppose -9 = -3*l, 63*l = 5*t + 66*l - 19. Let u(c) be the third derivative of 0 - 3/56*c**4 + 0*c + 16*c**t + 2/7*c**3 - 1/140*c**5. Factor u(o).
-3*(o - 1)*(o + 4)/7
Let z be 9/(-15) - -1 - 90/(-25). Let -5*g**3 + 8*g**2 + 33*g**3 - 23*g**3 + 4*g**z - 17*g**3 = 0. Calculate g.
0, 1, 2
Let y(r) be the third derivative of r**6/20 - 43*r**5/20 + 5*r**4/2 + 21*r**3/2 + 3*r**2 + 715*r. Factor y(z).
3*(z - 21)*(z - 1)*(2*z + 1)
Find i, given that -20*i - 83/2*i**2 + 1/2 - 21*i**3 = 0.
-1, 1/42
Let h = -4454/1001 + 57/13. Let j = 221/154 - h. Factor -1/2*t**2 + 0 - j*t.
-t*(t + 3)/2
Let i(p) be the first derivative of -p**6/2 - 51*p**5/10 + 333*p**4/8 - 89*p**3/2 - 411*p**2/4 + 117*p + 2196. Suppose i(g) = 0. What is g?
-13, -1, 1/2, 2, 3
Let q(k) be the third derivative of -1/18*k**5 + 0*k - 1/36*k**6 + 5/1008*k**8 + 0 - 4*k**2 + 5/18*k**3 + 5/72*k**4 + 1/126*k**7. Factor q(h).
5*(h - 1)**2*(h + 1)**3/3
Let c(v) be the third derivative of v**6/180 + 64*v**5/45 - 259*v**4/36 + 130*v**3/9 - 27*v**2 + 2. Factor c(d).
2*(d - 1)**2*(d + 130)/3
Let s(z) be the first derivative of -2*z**3/9 - 13*z**2/6 - 2*z + 249. What is v in s(v) = 0?
-6, -1/2
What is m in -47 - 44/3*m + 1/3*m**2 = 0?
-3, 47
Let u(o) be the first derivative of 29/4*o**3 + 183/8*o**2 - 53 + 93/4*o - 3/16*o**4. Factor u(p).
-3*(p - 31)*(p + 1)**2/4
Let f(w) be the first derivative of w**5/4 - 5*w**4/12 - 10*w**3/3 + 10*w**2 - 37*w - 58. Let b(z) be the first derivative of f(z). Solve b(a) = 0 for a.
-2, 1, 2
Find h such that -35*h**2 - 45/2*h**3 + 50*h + 5/2*h**5 + 60 + 5*h**4 = 0.
-3, -2, -1, 2
Factor 2/7*w**2 - 1158/7*w + 2308/7.
2*(w - 577)*(w - 2)/7
Suppose a - 4*v = 4, 4*a + 2*v - 1 + 3 = 0. Suppose a = -p + j + 7, j = -2*j - 15. Let 2/13*s**p - 4/13*s - 6/13 = 0. What is s?
-1, 3
Let u = 2126 + -1946. Suppose u = 63*o + 54. What is z in 5/4 + 1/4*z**o - 3/2*z = 0?
1, 5
Suppose 0 = 2*p + 3*d + 2*d - 23, 2*p + 4*d - 26 = 0. Let t = -10 + 12. What is w in -6*w**3 - 51*w**2 + p*w**2 - t*w - 2*w - 54*w**3 = 0?
-1/3, -1/5, 0
Let r(g) be the first derivative of -25*g**6/6 + 203*g**5 - 591*g**4/4 - 359*g**3/3 - 20*g**2 + 1625. Suppose r(z) = 0. Calculate z.
-1/5, 0, 1, 40
Suppose 3*u - 9 = 4*r, -2*r - 12 = -4*u - 0*u. Suppose 5*j = -25, -3*k + r*j + 27 = -3*j. Solve 2*s**5 - 14*s**4 - 18*s**4 - 6*s**3 + 28*s**k = 0 for s.
-1, 0, 3
Suppose -q + 47 = -5*r, -68 = -4*q + r + 215. Determine w, given that -88*w + q*w - 2*w**2 + 4*w**2 = 0.
0, 8
Suppose 9*d + 694 - 2*d**3 + 0*d**3 - 688 - d**3 = 0. What is d?
-1, 2
Factor 1115/2*h - 1243225/2 - 1/8*h**2.
-(h - 2230)**2/8
Let n = -840 + 824. Let g be (7/(-126))/((3 - -1)/n). What is a in 0 + g*a**2 + 2/9*a = 0?
-1, 0
Let i(w) be the second derivative of 1 + 31*w + 1/9*w**3 - 1/18*w**4 + 0*w**2. Let i(z) = 0. Calculate z.
0, 1
Let r(c) = -8*c**2 + 1093*c + 541. Let p(w) = -183*w**2 + 24048*w + 11901. Let u(q) = -2*p(q) + 45*r(q). Suppose u(j) = 0. Calculate j.
-181, -1/2
Let r be (-28)/70*(-45)/567. Let l(b) be the first derivative of -1/21*b**2 - r*b**3 + 7 + 4/7*b. Factor l(v).
-2*(v - 2)*(v + 3)/21
Suppose -7*h + 2*y = -4*h - 25, -9*h - 5*y = 13. Solve 8/3*q + 4/3 - 1/3*q**4 - 2/3*q**h + q**2 = 0 for q.
-2, -1, 2
Suppose -1/7*g**2 + 5 + 34/7*g = 0. Calculate g.
-1, 35
Let c(a) be the second derivative of -a**8/336 - 2*a**7/105 + a**6/24 - 29*a**2 - a. Let d(x) be the first derivative of c(x). Factor d(v).
-v**3*(v - 1)*(v + 5)
Let b(r) be the second derivative of -r**5/140 + 25*r**4/84 + 2*r**3/3 - 26*r**2/7 - 3699*r. Factor b(x).
-(x - 26)*(x - 1)*(x + 2)/7
Let q = -3432 + 3435. Let b(k) be the third derivative of -1/20*k**5 + 1/120*k**6 + 0*k**4 + 0 - 11*k**2 + 0*k + 2/3*k**q. Factor b(u).
(u - 2)**2*(u + 1)
Suppose -6*x = -13 - 11. Let n = x + 1. Factor 5*q + 4 + n*q**5 - 814*q**3 + 804*q**3 - 4.
5*q*(q - 1)**2*(q + 1)**2
Let c be (-1)/(-2) + 16*168/384. Let f(h) be the first derivative of 0*h + c*h**2 + 15 + 5/3*h**3. Let f(x) = 0. What is x?
-3, 0
Let h be ((-6)/20)/(7/(-70)). Let t(k) be the first derivative of 5*k**h + 0*k + 39 - 3*k**2 + 1/2*k**6 - 9/4*k**4 - 3/5*k**5. Factor t(y).
3*y*(y - 1)**3*(y + 2)
Let i be (-75*(-4)/(-48))/((-55)/88) - 7. Solve 6/5*a**3 + 0 - 72/5*a + 12*a**2 + 3/5*a**5 - i*a**4 = 0 for a.
-2, 0, 2, 3
Let -133 - 1104940*f**2 + 7020*f - 11 + 4046*f + 3570350*f**3 + 15925*f - 2247*f = 0. What is f?
6/505, 2/7
Let l(z) be the first derivative of -3/7*z**2 + 3/14*z**4 - 4/7*z + 2/21*z**3 + 2/35*z**5 + 121. Solve l(b) = 0.
-2, -1, 1
Suppose -9*i + 102 = -6*i. Let x(y) = 18*y + 2. Let r be x(1). Let i*t + 36*t**2 - 8 + r*t**3 + 16 + 4*t**4 - 6*t = 0. What is t?
-2, -1
Let v be (-4 - 28/(-5))*19/(-1824)*-80. Factor -2/9*i**4 + 8/9*i + 8/9*i**3 - v*i**2 - 2/9.
-2*(i - 1)**4/9
Factor -1242*f**3 + 1239*f**3 + 18 - 27*f + 18*f**2 - 6.
-3*(f - 4)*(f - 1)**2
Let j(d) be the second derivative of -2*d**7/105 + 58*d**5/25 + 88*d**4/15 - 46*d**3 + 80*d**2 - 5340*d. Determine r so that j(r) = 0.
-5, 1, 8
Let y be (66/15 + -8)*(-10)/(-3). Let h be (0 + (-32)/y)*9/12. Solve -5/3*p - 5*p**3 + 5/3*p**4 + 5*p**h + 0 = 0.
0, 1
Factor 28/5*p**2 + 2/5*p**3 + 84/5 + 22*p.
2*(p + 1)*(p + 6)*(p + 7)/5
Let j(u) be the second derivative of u**6/540 + u**5/60 - u**4/9 - 35*u**3/3 + 8*u - 6. Let n(a) be the second derivative of j(a). Factor n(q).
2*(q - 1)*(q + 4)/3
Let b(t) be the third derivative of -t**7/735 - 8*t**6/105 + 5*t**5/14 + 121*t**4/42 + 136*t**3/21 - 1336*t**2 - t. Solve b(v) = 0 for v.
-34, -1, 4
Suppose g - 296 + 138 = 0. Suppose 0 = -4*j - 142 + g. Find p, given that 16*p + 12*p**3 - j - 22*p**2 - 9/4*p**4 = 0.
2/3, 2
Let a(f) = 2*f**2 + 15*f - 95. Let d be a(-12). Suppose -17*t - 5*q + 13 = -d*t, -5*t = -q - 9. Factor 8/3*k**3 - 8/9*k**4 + 4/3*k - 26/9*k**t - 2/9.
-2*(k - 1)**2*(2*k - 1)**2/9
Find b such that 261/8*b - 19/8*b**3 + 12*b**2 - 7/4 = 0.
-2, 1/19, 7
Let n(z) be the third derivative of z**8/924 - z**7/21 + 79*z**6/660 - 13*z**5/165 + 3966*z**2. Determine k so that n(k) = 0.
0, 1/2, 1, 26
Let n = 35 - 13. Let t = -3172275 - -9516845/3. Factor -80/3*p**4 - t*p**2 + 0 - 32/3*p**5 - n*p**3 - 2/3*p.
-2*p*(p + 1)**2*(4*p + 1)**2/3
Let l(p) be the third derivative of 0*p**3 - 35/12*p**4 - 64*p**2 - 1/30*p**5 + 0 + 0*p + 7/12*p**6 + 1/105*p**7. Solve l(s) = 0.
-35, -1, 0, 1
Suppose 4*x - 30 = -x. Let n = 15 + 1. Factor -x + 15 + 3*i**2 + 23 - n*i - i**2.
2*(i - 4)**2
Determine b so that 21*b**4 + 1787*b + 17*b**5 - 15*b**5 - 1919*b + 248*b**2 + 55*b**3 - 68*b**4 = 0.
-2, 0, 1/2, 3, 22
Factor 0 - 28/3*r**2 + 0*r - 1/6*r**4 + 5/2*r**3.
-r**2*(r - 8)*(r - 7)/6
Let u(p) = -p**2 + 8*p - 11. Let o be u(3). Suppose 4*i + 5*m + 2 = -0*i, -16 = -4*i + 4*m. Factor -2*d**3 - 2*d**3 + 6*d**2 - i + o + 6*d**3 + 6*d.
2*(d + 1)**3
Let x be (-43)/(-5160)*16 + (-18)/(-15). Determine v, given that -x - 4*v**4 - 32/3*v**2 + 6*v + 28/3*v**3 + 2/3*v**5 = 0.
1, 2
Let j(i) be the third derivative of -i**10/302400 + i**9/12096 - 5*i**8/8064 + 5*i**5/12 + 207*i**2. Let z(f) be the third derivative of j(f). Factor z(m).
-m**2*(m - 5)**2/2
Suppose 2*q + 210 = 4*i + 7*q, -2*q + 104 = 2*i. Let j = i + -47. Find r, given that 4*r**j - 2*r**3 + 2*r**3 - 8*r + 4*r**2 = 0.
-2, 0, 1
Let h(l) be the second derivative of -26 - l + 0*l**3 + 3*l**4 + 0*l**2 + 3/20*l**5. Find a such that h(a) = 0.
-12, 0
Let l(q) be the first derivative of -q**5/10 - 3*q**4/8 + 29*q**3/2 + 179*q**2/4 + 45*q - 2864. Factor l(h).
-(h - 9)*(h + 1)**2*(h + 10)/2
Let t(g) be the second derivative of -g**7/14 + g**6/2 - 6*g**5/5 + g**4 + 2566*g. Determine y so that t(y) = 0.
0, 1, 2
Let p(n) = -4*n**3 + 44*n**2 + 128*n + 24. Let g(x) = x**3 - 9*x**2 - 27*x - 5. Let m(y) = -24*g(y) - 5*p(y). Factor m(t).
-4*t*(t - 1)*(t + 2)
Let l(u) be the third derivative of -4*u - 4*u**2 - 9/40*u**5 + 0 + 3/8*u**4 - 1/40*u**6 + 5/4*u**3. Determine g, given that l(g) = 0.
-5, -1/2, 1
Let h(c) be the second derivative of -3*c**5/5 + 3*c**4/4 + c**3/2 + c + 18. Find l, given that h(l) = 0.
-1/4, 0, 1
Let b(q) = 5*q**4 + 189*q**3 + 194*q**2 + 4. Let l(r) = -2*r**4 + r**3 - 2*r**2 - 2. Let p(j) = -3*b(j) - 6*l(j). Determine g so that p(g) = 0.
-190, -1, 0
Let 