 37 = c. Let p(r) be the first derivative of 1/6*r**2 + 0*r + 7 + 1/15*r**c + 1/4*r**4 + 1/3*r**3. What is h in p(h) = 0?
-1, 0
Let h = 10 - 8. Suppose -h*f + 0*a = -2*a - 36, 4*a + 42 = 2*f. Find n such that 37*n**2 - 37*n**2 - 10 - f*n + 5*n**3 = 0.
-1, 2
Let v(q) be the third derivative of q**4/24 - q**3/3 + 14*q**2. Let r be v(5). Factor -375/7*p**r - 3/7 - 225/7*p**2 - 45/7*p.
-3*(5*p + 1)**3/7
Suppose 4*a - 23 = -3. Suppose -5*k = a*z - 2*k - 12, 4*k = 4*z - 16. Solve -15*l - 5*l**2 - 3*l**4 + 6 - 2*l**z + 14*l**2 + 5*l**3 = 0 for l.
-2, 1
What is p in -2*p**2 + 5/2 - 19/2*p = 0?
-5, 1/4
Suppose -444*i = -437*i - 14. Let c(r) be the second derivative of 0 - 2/255*r**6 + 0*r**4 + 4*r - 3/170*r**5 + 1/51*r**3 + 0*r**i. Factor c(u).
-2*u*(u + 1)**2*(2*u - 1)/17
Suppose -2*f + 10 = 2. Factor 20*p**2 + 11*p - 148*p**4 - 5*p**3 + 143*p**f + 9*p.
-5*p*(p - 2)*(p + 1)*(p + 2)
Let i(x) = -15*x**2 - 39*x - 39. Let k(r) = 176*r**2 - 184*r**2 - 26 - 20*r + 6. Let q(y) = -4*i(y) + 7*k(y). Factor q(d).
4*(d + 2)**2
Let g(v) be the third derivative of 0 + 1/15*v**5 - 1/160*v**6 + 1/24*v**4 + 1/336*v**8 + 0*v**3 - 8*v**2 - 11/840*v**7 + 0*v. What is u in g(u) = 0?
-1, -1/4, 0, 2
Find v such that -22*v + 15/2*v**3 + 5*v**2 - 1/2*v**5 + 12 - 2*v**4 = 0.
-6, -2, 1, 2
Let i(u) be the second derivative of u**6/24 + 7*u**5/60 - u**4/24 - u**3/2 + 10*u**2 - 25*u. Let o(s) be the first derivative of i(s). Factor o(g).
(g + 1)**2*(5*g - 3)
Let u be ((-10)/8)/(2/(-16)). Let y be ((-22)/(-55))/(3/u). Solve -4/3*d**2 + 4/3*d + 4/3 - y*d**3 = 0 for d.
-1, 1
Let w(y) be the second derivative of 22*y + 0 + 1/21*y**3 + 2/21*y**2 + 0*y**4 - 1/210*y**5. Let w(x) = 0. Calculate x.
-1, 2
Let h(w) = -w + 2. Let o be h(0). Suppose -284 = -274*r + 99 + 713. What is f in 12/5*f**3 + 3*f**o + 0 + 3/5*f**r + 6/5*f = 0?
-2, -1, 0
Factor 14/3*y**2 + 26/3*y + 0 - 25/6*y**3 - 1/6*y**4.
-y*(y - 2)*(y + 1)*(y + 26)/6
Suppose -42 = -4*i + 2*k, -i + 25 = i + 3*k. Suppose i*y = 6*y + 10. Suppose 4/3*r**3 - y*r**4 + 8/3*r**2 - 4/3*r**5 + 0*r - 2/3 = 0. What is r?
-1, 1/2, 1
Let d(b) be the first derivative of -2*b**3/15 + 68*b**2/5 - 2312*b/5 - 74. Determine x so that d(x) = 0.
34
Let u = -1103/5 + 221. What is b in 2/5 + 4/5*b**3 - u*b**4 - 4/5*b + 0*b**2 = 0?
-1, 1
Let y(j) be the third derivative of -j**8/336 + j**7/105 - j**5/30 + j**4/24 - 51*j**2. Factor y(b).
-b*(b - 1)**3*(b + 1)
Factor -1 - 11 + 0*r**2 - 16*r**2 + r**2 - 24*r - 3*r**3.
-3*(r + 1)*(r + 2)**2
Let o(u) be the first derivative of u**8/2100 + u**7/525 + 8*u**3 + 27. Let d(s) be the third derivative of o(s). Factor d(k).
4*k**3*(k + 2)/5
Let c(f) be the third derivative of f**8/2352 - f**7/1470 - f**6/210 + f**5/105 - 9*f**2 - 3*f. Find j, given that c(j) = 0.
-2, 0, 1, 2
Let z(d) be the second derivative of d**9/15120 + d**8/8400 - d**7/2100 - 11*d**3/6 - 30*d. Let b(i) be the second derivative of z(i). Factor b(x).
x**3*(x - 1)*(x + 2)/5
Let j(z) be the first derivative of 0*z**3 - 11 + 5*z**2 + 0*z - 1/36*z**5 + 0*z**4. Let m(s) be the second derivative of j(s). Factor m(k).
-5*k**2/3
Let o be ((-1)/3)/((-16)/(-96)). Let s be (-16)/o*(-6)/(-18). Factor -s*t - 2/3*t**2 - 8/3.
-2*(t + 2)**2/3
Let z be (1*3)/((-13 - -9) + 5). Let c(r) be the second derivative of -1/48*r**4 + 0*r**z + 1/2*r**2 + 0 + 4*r. Find v, given that c(v) = 0.
-2, 2
Factor -54*g**2 + 6*g**3 - 8*g**3 - 336*g - 576 - 3*g**2 + 2*g**3 - 3*g**3.
-3*(g + 3)*(g + 8)**2
Let m be 136/(-192) - 3/(-4). Let f(k) be the third derivative of 0 + 0*k + 0*k**5 + 1/120*k**6 + 0*k**3 + 4*k**2 - m*k**4. Factor f(c).
c*(c - 1)*(c + 1)
Factor -1/4*o**3 - 4 - o - 1/4*o**4 + 3*o**2.
-(o - 2)**2*(o + 1)*(o + 4)/4
Factor 7220 + 171*h**3 - 2832*h**2 + 103*h**3 + 107*h**3 - h**3 - 380*h - 4383*h**2 - 5*h**4.
-5*(h - 38)**2*(h - 1)*(h + 1)
Let w(h) be the second derivative of -1/20*h**5 - 21*h - 11/12*h**4 + 0 - 35/6*h**3 - 25/2*h**2. Factor w(j).
-(j + 1)*(j + 5)**2
Let b(j) be the second derivative of 0 + 3/20*j**5 + 0*j**2 - 1/4*j**4 + 15*j + 1/6*j**3 - 1/30*j**6. Factor b(i).
-i*(i - 1)**3
Let j = 348 + -2087/6. Let s be 1*(3 - (-3 + 4)). What is q in 0*q - j*q**s - 1/6*q**5 - 1/2*q**3 + 0 - 1/2*q**4 = 0?
-1, 0
Let h(y) be the third derivative of -5*y**6/24 + 151*y**5/6 - 2075*y**4/24 + 295*y**3/3 + 31*y**2 - 2*y. Solve h(b) = 0.
2/5, 1, 59
Factor -2*b**3 + 4*b**2 + 3*b**3 - 161 + 17 + 0*b**3 - 144*b + 3*b**3.
4*(b - 6)*(b + 1)*(b + 6)
Let q(p) be the first derivative of -6*p**3 + 0*p**2 - 2/5*p**5 + 0*p + 3*p**4 - 29. Suppose q(r) = 0. Calculate r.
0, 3
Let w be (-2)/6 - (-46)/3. Suppose -25 = -2*j - w. Let 4/9*c**3 + 2/3*c**4 - 10/9*c**j + 0 + 0*c**2 + 0*c = 0. Calculate c.
-2/5, 0, 1
Let t = 709 + -3537/5. Solve 162/5*q**2 - 72/5*q + t = 0 for q.
2/9
Let y be 2/(-3)*-1*2. Factor 0 - y*t**3 + 8/3*t - 4/3*t**2.
-4*t*(t - 1)*(t + 2)/3
Let c(q) = q**3 - 4*q**2 - 10*q - 7. Let i be c(6). Factor -i*u - 57 + 57 + 5*u**2.
5*u*(u - 1)
Suppose 0*l - 4*o + 12 = 2*l, -14 = -3*l - 4*o. What is a in -4*a**5 + 4*a**4 + 5*a**3 + a**l - a**3 + 0*a**5 - 5*a**2 = 0?
-1, 0, 1
Let m be (1 - (-84)/(-90))/(2/15). Let c + m + 1/2*c**2 = 0. What is c?
-1
Let z(d) be the third derivative of 0 + 1/336*d**8 + 1/30*d**5 + 1/72*d**4 + 1/63*d**7 + 8*d**2 + 1/30*d**6 + 0*d + 0*d**3. Factor z(f).
f*(f + 1)**3*(3*f + 1)/3
Factor 4/7*q**2 + 16/7 - 20/7*q.
4*(q - 4)*(q - 1)/7
Let t(g) be the first derivative of g**4/7 - 8*g**3/21 - 16*g**2/7 + 86. Solve t(n) = 0.
-2, 0, 4
Let c(k) be the first derivative of -11/12*k**3 + k - 3/16*k**4 - k**2 + 35. Let c(w) = 0. Calculate w.
-2, 1/3
Let i(h) = h**2 + 8*h - 59. Let x be i(5). Let f be (-18)/5*(16/x + -4). Factor -32/5*l**2 - f*l - 4/5.
-4*(2*l + 1)*(4*l + 1)/5
Let v = -63 - -44. Let i = 21 + v. Factor 2 - 4 - 4*a - 3 - 3 + 4*a**i.
4*(a - 2)*(a + 1)
Factor -1/2*d**5 - 39/2*d**3 - 37*d**2 - 12 - 34*d - 5*d**4.
-(d + 1)*(d + 2)**3*(d + 3)/2
Let u = 21/313 - -521/1565. Suppose u*n**3 - 2/5*n**4 + 2/5*n**2 - 2/5*n**5 + 0 + 0*n = 0. What is n?
-1, 0, 1
Let w(c) be the third derivative of c**4/24 - c**3/2 - 21*c**2. Let x be w(3). Factor l**2 + x + 2/3*l - 1/3*l**4 + 0*l**3.
-l*(l - 2)*(l + 1)**2/3
Let q(u) be the second derivative of 1/20*u**4 + 2*u + 3/100*u**5 - 1/5*u**3 + 0 + 0*u**2. Find f, given that q(f) = 0.
-2, 0, 1
Let x be ((0 - 0)/(-6))/1. Let k(o) be the third derivative of -1/60*o**6 + x + 5*o**2 + 0*o**3 + 1/30*o**5 + 1/6*o**4 + 0*o. Let k(l) = 0. Calculate l.
-1, 0, 2
Determine d, given that 21/2*d**2 + 10 + 11/4*d**3 + 17*d + 1/4*d**4 = 0.
-5, -2
Let d(k) = 5*k - 4*k + 3*k + 5 + k**2. Let h be d(-3). Factor -6*v**2 + 9 + 3*v + 2*v**h - 13 + 5*v.
-4*(v - 1)**2
Find s such that -24*s**2 - 36 - 144*s + 44*s**2 + 32*s**2 = 0.
-3/13, 3
Let i(y) be the third derivative of -y**6/300 - 13*y**5/300 - 13*y**4/120 + y**3/3 + 2*y**2 - 220*y. Solve i(p) = 0.
-5, -2, 1/2
Let u(n) be the second derivative of 20/9*n**3 - 15*n - 40/3*n**2 - 5/36*n**4 + 0. Factor u(k).
-5*(k - 4)**2/3
Let u be (-2)/(-20)*4/((-238)/(-85) - 2). Solve z + u*z**2 - 3/2 = 0.
-3, 1
Suppose 4/11*x**3 - 8/11*x**2 + 2/11*x**4 + 6/11 - 4/11*x = 0. Calculate x.
-3, -1, 1
Suppose 312 + 99 = 137*i. Factor 1/8*l**i + 0 + 0*l + 0*l**2 - 1/8*l**4.
-l**3*(l - 1)/8
Factor 3/2*j**5 + 30*j**4 + 0*j**2 + 150*j**3 + 0*j + 0.
3*j**3*(j + 10)**2/2
Let -6*m**4 - 22*m**2 + 4 - 22*m**3 - 53*m + 15*m + 36*m = 0. Calculate m.
-2, -1, 1/3
Factor -5*r**3 + 140 - 90097*r**2 + 91*r + 90112*r**2 + 29*r.
-5*(r - 7)*(r + 2)**2
Let b(c) be the second derivative of c**4/32 - 7*c**3/16 - 3*c**2/2 - 62*c. Determine m, given that b(m) = 0.
-1, 8
Let z(s) be the second derivative of -3/2*s**4 + 0 - 13/6*s**3 + 13/20*s**5 + 2/3*s**6 - s**2 - 15*s. Solve z(i) = 0.
-1, -2/5, -1/4, 1
Let v(q) = -36*q**4 + 189*q**3 - 504*q**2 + 351*q - 15. Let g(i) = -5*i**4 + 27*i**3 - 72*i**2 + 50*i - 2. Let o(s) = 15*g(s) - 2*v(s). Factor o(c).
-3*c*(c - 4)**2*(c - 1)
Solve 12/5*p**5 - 24/5 + 52/5*p**3 + 10*p**4 - 64/5*p - 26/5*p**2 = 0 for p.
-2, -3/2, -1, -2/3, 1
Factor -16/11*i**2 + 0 - 2/11*i**3 + 40/11*i.
-2*i*(i - 2)*(i + 10)/11
Let k = 3/962 + 21155/2886. Factor 0 + 2*r + k*r**2 + 16/3*r**3.
2*r*(r + 1)*(8*r + 3)/3
Let w(q) = -2*q**2 + 2. Let r be w(0). Let k be ((-24)/60)/(1/(-5)). Factor 10/7*x - k*x**r + 6/7*x**3 - 2/7.
2*(x 