**3 + 1689 = 0?
-21, -7, 1
Let p(g) = -g**3 - 4*g**2 + 24*g + 1. Let m be p(-7). Let h be (-112)/21*(9/m + 0). Factor -16*k**2 + 16/5*k**4 - 2/5*k**5 + 0 - h*k**3 - 10*k.
-2*k*(k - 5)**2*(k + 1)**2/5
Suppose 4851 = -9*k - 2*k. Let b be (-252)/k - (-2)/(-28). Solve 0*s**4 - 1/4*s**5 + b*s**3 + 0*s**2 - 1/4*s + 0 = 0.
-1, 0, 1
Let r(s) be the second derivative of s**5/10 - 55*s**4/3 + 1025*s**3/3 - 2500*s**2 - 602*s. What is k in r(k) = 0?
5, 100
Let o(k) = 20*k**4 + 168*k**3 + 1426*k**2 + 1254*k - 42. Let w(n) = -16*n**4 - 170*n**3 - 1427*n**2 - 1253*n + 35. Let x(r) = -5*o(r) - 6*w(r). Factor x(d).
-4*d*(d - 52)*(d + 1)*(d + 6)
Let x(y) be the first derivative of -7/3*y**2 - 2/15*y**5 - 55 + 7/6*y**4 + 0*y + 2/9*y**3. Determine j, given that x(j) = 0.
-1, 0, 1, 7
Let h = 1037699224/1443655 + -2/288731. Let v = -714 + h. Determine w so that 22/5*w - 4/5 - v*w**2 = 0.
1/4, 2/3
Let w = 103 + -97. Factor 5*y**2 - 2*y - y**2 - w*y**2 + 0*y**2.
-2*y*(y + 1)
Let x(n) be the third derivative of -1/30*n**5 - 35/12*n**4 + 0*n - 34/3*n**3 + 70*n**2 + 0. Let x(h) = 0. Calculate h.
-34, -1
Let w(b) be the first derivative of -4/5*b - 55 - 1/15*b**3 + 2/5*b**2. Factor w(x).
-(x - 2)**2/5
Let s be 12 + -13 + 4 + 1. Find b, given that -18*b**s + 29*b**2 - 11*b**4 + 25*b**4 - 40*b**3 + 15*b**2 = 0.
-11, 0, 1
Find t such that 3*t**3 + 1136*t + 3688*t + 777*t - 2799 - 2805*t**2 = 0.
1, 933
Let s(b) be the second derivative of -b**7/10080 - b**6/720 + 7*b**5/160 - 89*b**4/6 - 167*b. Let r(f) be the third derivative of s(f). What is c in r(c) = 0?
-7, 3
Let o(r) be the second derivative of -r**7/70 - 7*r**6/50 - 9*r**5/100 + 11*r**4/4 + 56*r**3/5 + 18*r**2 - 44*r - 2. Suppose o(c) = 0. Calculate c.
-5, -2, -1, 3
Let p(y) = 15*y**4 - 85*y**3 + 360*y**2 - 2155. Let u = 342 - 347. Let d(a) = 2*a**4 - a**3 + 1. Let g(w) = u*d(w) + p(w). Factor g(j).
5*(j - 6)**3*(j + 2)
Let m be ((-6)/9)/(5/(30/4)). Let g be m/(-4) - ((-3)/(-12) - 3). Factor -3*l**4 - 3*l**4 + 4*l**4 - 2*l**2 + 4*l**g.
-2*l**2*(l - 1)**2
Let v be 5 - (137382/4056)/7. Let p = v - -15/169. Factor 0 + p*d**2 - 1/4*d.
d*(d - 1)/4
Let x(q) be the first derivative of -5*q**4/4 + 115*q**3/3 - 315*q**2 - 7549. Find h such that x(h) = 0.
0, 9, 14
Let o = -49402/7 - -247262/35. Factor -132/5*n**2 - o*n + 0 - 21/5*n**3.
-3*n*(n + 6)*(7*n + 2)/5
Let h(w) = w**2 + 13. Let t be h(-3). Suppose -28*q = -t*q - 18. Solve -3/4*u**3 + 3/4*u**5 + 21/4*u**2 - 9/4*u**4 - q + 0*u = 0.
-1, 1, 2
Let g be (-3)/(-6)*24/16*-4. Let w be (198/(-63))/(1 + g) + -1. Determine l so that w - 16/7*l**2 - 12/7*l = 0.
-1, 1/4
Let z = 989 + -43515/44. Let o(g) be the third derivative of -2/33*g**3 + 0*g + 0 - 1/330*g**5 + 9*g**2 - z*g**4. Determine f so that o(f) = 0.
-2, -1
Let i be 317512/207948 + (-12)/62. Factor -i + 13/9*y - 1/9*y**2.
-(y - 12)*(y - 1)/9
Let y(h) = -9*h + 31. Let b be y(3). Factor 41*k**b + 320*k - 482*k**2 + 48*k**3 - 21*k**4 + 192 + 98*k**2.
4*(k - 2)**2*(k + 6)*(5*k + 2)
Let s be (-1048)/(-8) - ((-4)/1 - 1). Suppose -7*n + s = 27*n. Find r such that 16/7*r - 24/7*r**2 + 0 - 2/7*r**n + 12/7*r**3 = 0.
0, 2
Let z(p) = -15*p**3 - 5199*p**2 - 5316*p + 10449. Let b(u) = -u**3 - 400*u**2 - 409*u + 804. Let h(n) = 27*b(n) - 2*z(n). Factor h(g).
3*(g - 135)*(g - 1)*(g + 2)
Factor 1/4*w**2 - 327 - 323/4*w.
(w - 327)*(w + 4)/4
Let h(a) be the second derivative of 1/6*a**4 + 0 + 0*a**2 + 0*a**3 + 99*a - 1/80*a**5. Factor h(t).
-t**2*(t - 8)/4
Suppose -15*l - 3*d = -10*l - 403, 0 = -l + 2*d + 78. Factor 19*c - 5*c**3 + 20 - 80 + 21*c - 55*c**2 + l*c**2.
-5*(c - 6)*(c - 1)*(c + 2)
Let g(t) be the first derivative of 33 + 1/3*t**3 - 16*t - 3*t**2. Factor g(r).
(r - 8)*(r + 2)
Let g = 103/2826 - -3/157. Let c(y) be the first derivative of -g*y**3 - 25/6*y - 5/6*y**2 - 3. Let c(a) = 0. Calculate a.
-5
Solve 5706*d**3 - 540 - 1346*d + 397*d**2 - 5720*d**3 + 1503*d**2 = 0 for d.
-2/7, 1, 135
Let u(d) be the second derivative of -3/2*d**2 - 3 - 1/16*d**4 - 4*d + 5/8*d**3. What is m in u(m) = 0?
1, 4
Let c(z) be the third derivative of 1/180*z**4 + 7/180*z**6 + 0*z**3 + 11/450*z**5 + 0*z + 0 + 2*z**2 + 1/63*z**7. Factor c(h).
2*h*(h + 1)*(5*h + 1)**2/15
Factor 305809/3 - 1106/3*w + 1/3*w**2.
(w - 553)**2/3
Let r = -6 - -9. Let c(d) = -829*d + 5803. Let z be c(7). Factor 0 + 0*w**2 + z*w + 2/7*w**4 - 4/7*w**r.
2*w**3*(w - 2)/7
Let o = 233 + 336. Let s = o + -567. Suppose -3*x**3 + 2*x**s + 0 - 1/2*x**5 - 1/2*x + 2*x**4 = 0. What is x?
0, 1
Let r(q) be the third derivative of -q**7/840 - 163*q**6/240 - 8747*q**5/80 + 6683*q**4/12 - 3362*q**3/3 + 161*q**2 - 3*q. Solve r(k) = 0.
-164, 1
Let j(k) = k**2 + 38*k + 321. Let f(n) = n + 7. Let z(y) = 6*f(y) - 2*j(y). Let z(q) = 0. What is q?
-20, -15
Let h(l) be the first derivative of -l**4/3 - 4*l**3/27 + 2*l**2/3 + 4*l/9 + 617. Factor h(d).
-4*(d - 1)*(d + 1)*(3*d + 1)/9
Suppose 2*x = 4*x - 2*t, 0 = -2*x + t + 6. Let z(u) be the second derivative of 1/40*u**5 + 0 + 1/12*u**4 + 0*u**3 - x*u + 0*u**2. Let z(l) = 0. Calculate l.
-2, 0
Suppose -10*j**4 - 4/3*j**2 + 34/3 + 22*j + 2/3*j**5 - 68/3*j**3 = 0. Calculate j.
-1, 1, 17
Suppose -296*q + 299*q - 6 = 0. Solve -86*a + 21*a**3 + 96*a + 34*a**3 - 4 + 4 - 65*a**q = 0.
0, 2/11, 1
Let x(a) = a**2 - 4*a - 28. Let c be x(8). Let c*l**2 - 4 + 6*l + 3 - 3*l**2 - 9*l + 3 = 0. Calculate l.
1, 2
Let t = 1157 + -1668. Let m = t + 513. Solve -2/7*h + 2/7 - 4/7*h**m = 0.
-1, 1/2
Let u = 60 + -56. Suppose -3*b = -2*x + 20, -u*x + 4*b = -0*b - 32. Determine v, given that 69 + 0*v**2 - 45 + x*v**2 + 28*v = 0.
-6, -1
Suppose 98804*b = 98794*b + 40. Factor -2/11 - 6/11*a + 2/11*a**5 + 4/11*a**3 - 4/11*a**2 + 6/11*a**b.
2*(a - 1)*(a + 1)**4/11
Let b be 0*(-5)/(-35) - 2/((-44)/110). What is y in -192/7*y + 912/7*y**2 - 177/7*y**4 + 0 - 12/7*y**b - 531/7*y**3 = 0?
-8, 0, 1/4, 1
Let f = -414569 + 414572. Find m such that -24*m**2 - 4/3*m**4 + 64/3*m + 32/3*m**f - 20/3 = 0.
1, 5
Suppose 12 = 3*t, 159*t = 4*h + 157*t + 4808. Let g be (-7470)/h + 3/8 + -6. Factor 0*f - 3/5 + g*f**2.
3*(f - 1)*(f + 1)/5
Let z(d) be the third derivative of d**8/8400 + d**7/12600 - d**5/6 + 79*d**2. Let i(l) be the third derivative of z(l). Let i(r) = 0. Calculate r.
-1/6, 0
Let c = -306 + 1032. Let i = -7985/11 + c. Factor 0*w + i*w**4 + 0*w**2 - 1/11*w**3 + 0.
w**3*(w - 1)/11
Let w(r) be the first derivative of -5*r**3/3 - 155*r**2 - 305*r + 886. Factor w(n).
-5*(n + 1)*(n + 61)
Let n(t) be the first derivative of -2*t**5/75 + 13*t**4/30 - 58*t**3/45 - 13*t**2/15 + 4*t + 3757. Solve n(b) = 0.
-1, 1, 3, 10
Let c(l) be the second derivative of -15*l**2 + 1/6*l**4 - 3 + 32*l - 2/3*l**3. Factor c(r).
2*(r - 5)*(r + 3)
Let m(w) = w**2 - 55*w + 452. Let v be m(45). Let a(i) be the second derivative of -1/3*i**3 - v*i + 1/10*i**5 - 2*i**2 + 1/3*i**4 + 0. Factor a(u).
2*(u - 1)*(u + 1)*(u + 2)
Let j(c) be the second derivative of 1/2*c**2 + 1/240*c**6 - 7/160*c**5 + 4 - 3/32*c**4 + 7/48*c**3 + 5*c. Factor j(t).
(t - 8)*(t - 1)*(t + 1)**2/8
Let f(u) be the third derivative of u**5/90 - 23*u**4/9 - 3*u**2 - 680*u + 1. Factor f(k).
2*k*(k - 92)/3
Suppose -3*c + 2*a + 9 = 0, -18*a = -45*a + 26*a. Let y(q) be the second derivative of 0 + 1/60*q**4 + 5/2*q**2 - 1/3*q**c + 3*q. Factor y(b).
(b - 5)**2/5
Let k(f) be the second derivative of f**4/12 + f**3/3 + f + 136. Let t(a) = -3*a**2 - 356*a - 6480. Let b(l) = 2*k(l) - t(l). Factor b(s).
5*(s + 36)**2
Let a = 15470 - 15452. Let y(x) be the second derivative of -1/12*x**4 + 0 - a*x + 7/2*x**2 + x**3. Let y(l) = 0. Calculate l.
-1, 7
Let u be ((-2)/21)/((-288)/9072). Find c, given that 3/8*c**4 + 3/2 + 0*c - 15/8*c**2 + 0*c**u = 0.
-2, -1, 1, 2
Let v(y) be the third derivative of 0 + 128*y**3 + 74*y**2 + 8/3*y**4 + 1/45*y**5 + 0*y. Factor v(c).
4*(c + 24)**2/3
Let k = 203759/1480720 - 2/18509. Let f(r) be the third derivative of 3*r**2 - 1/48*r**6 + 0 + k*r**5 + 5/6*r**3 + 1/840*r**7 - 11/24*r**4 + 0*r. Factor f(z).
(z - 5)*(z - 2)**2*(z - 1)/4
Let n(u) = -44*u**2 + 1624*u + 164828. Let g(w) = 38*w**2 - 1624*w - 164829. Let j(i) = -8*g(i) - 7*n(i). Suppose j(s) = 0. Calculate s.
-203
Let l(t) be the second derivative of t**7/126 - t**6/30 - 11*t**5/60 + t**4/12 + 5*t**3/9 - 2*t - 555. Let l(b) = 0. Calculate b.
-2, -1, 0, 1, 5
Factor -654/5 + 321/