3 + f.
-2*(l - 1)**2
Let w(t) be the first derivative of -1/10*t**5 + 5 + 0*t**2 + 0*t**4 + 1/3*t**3 - 1/2*t. Factor w(o).
-(o - 1)**2*(o + 1)**2/2
Let w be -1 - (2 - 1 - 30). Suppose 6*a - 14 = -4*m + a, 4*m - 2*a = w. Determine q so that -m*q**2 + 7*q - 12*q + 3*q = 0.
-1/3, 0
Factor -54/7*l**3 - 18/7 + 3/7*l**5 - 96/7*l**2 - 6/7*l**4 - 69/7*l.
3*(l - 6)*(l + 1)**4/7
Let o(n) = n**2 + 5*n - 4 + 1 + 1. Let s(r) = -5*r**2 + 2*r + 2*r**2 - 8*r - 8*r + 6. Let q(x) = 11*o(x) + 4*s(x). Find a, given that q(a) = 0.
-2, 1
Let c(x) be the third derivative of -3*x**7/350 - x**6/50 + x**5/25 - 229*x**2. Determine p, given that c(p) = 0.
-2, 0, 2/3
Let y(z) be the second derivative of z**4/3 + 20*z**3 - 62*z**2 - 2*z - 98. Factor y(r).
4*(r - 1)*(r + 31)
Suppose 2*y = -y + 6. Suppose m - 5*o - 1 - 13 = 0, 3*o + 22 = 4*m. Suppose 0 + 46/7*j**3 + 24/7*j**y - 8/7*j + 10*j**5 - 132/7*j**m = 0. What is j?
-2/5, 0, 2/7, 1
Suppose 11*k - 9*k + 8 = 0. Let b be (-44)/(-6)*(-6)/k. Determine j so that -14*j - b*j + 19*j - 8 + 3*j**2 - 1 = 0.
-1, 3
Let u = 57 - 35. Find k such that -10*k**2 + 26*k + 4*k**3 + 2*k**2 - u*k = 0.
0, 1
Suppose 5*z - 4*f - 35 = -21, z - 1 = -f. Suppose -4*u = -z*u. Let -3/2*o**3 + 3*o - 3/2*o**2 + u = 0. Calculate o.
-2, 0, 1
Let 3/7*g**5 - 1350/7 - 855/7*g + 1254/7*g**2 + 96/7*g**4 + 852/7*g**3 = 0. Calculate g.
-15, -2, -1, 1
Factor -135/2*m - 350*m**2 + 5.
-5*(4*m + 1)*(35*m - 2)/2
Let t = 749 + -746. Let v(n) be the first derivative of 1/6*n**6 + 0*n + 2/3*n**t + 0*n**4 + 7 - 2/5*n**5 - 1/2*n**2. Determine r, given that v(r) = 0.
-1, 0, 1
Let g(b) be the first derivative of -4/15*b**3 - 1/5*b**2 + 0*b - 1/10*b**4 + 9. Determine v, given that g(v) = 0.
-1, 0
Determine u so that 0*u + u**3 - 1/2*u**4 - 1/2*u**2 + 0 = 0.
0, 1
Solve -48 + 40 + 30*h + 10*h**3 - 3*h**4 + 10*h**3 - 39*h**2 = 0.
2/3, 1, 4
Let v = -40 - -44. Factor 9*r - 4*r**v + 7*r**3 - 19*r**3 + 7*r.
-4*r*(r - 1)*(r + 2)**2
Let x(l) be the third derivative of 0 - 1/4*l**4 + 0*l + 1/30*l**5 - 4/3*l**3 - 9*l**2. Factor x(r).
2*(r - 4)*(r + 1)
Suppose -2/3*a**3 + a**2 - 4/3 - 1/3*a**4 + 4/3*a = 0. Calculate a.
-2, 1
Let d(j) = -8*j**2 + 29*j + 16. Suppose 0 = -3*c - 4*a + 46 - 1, a - 3 = 0. Let w(r) = -3*r**2 + 10*r + 5. Let p(x) = c*w(x) - 4*d(x). Factor p(v).
-(v + 3)**2
Suppose 15*l**3 - 9*l**4 - 16*l**2 - 6*l**4 + 4*l**5 - 16*l - 3*l**3 + 31*l**4 = 0. What is l?
-2, -1, 0, 1
Find r, given that 1/4*r**5 + 3/4*r**3 + 0 - r + r**2 - r**4 = 0.
-1, 0, 1, 2
Let i(k) be the second derivative of -3*k - 7/220*k**5 - 1/330*k**6 - 13/66*k**3 + 0 - 5/44*k**4 - 2/11*k**2. Solve i(c) = 0.
-4, -1
Let x(n) = n**2 - n + 2. Let s be x(0). Suppose 2*q + 2*q = 5*a + 33, -2*q + s*a = -14. Factor -3*o**q - o**4 - 2*o**3 - 3*o**2 - o**3 + 4*o**4.
3*o**2*(o - 2)*(o + 1)
Let m(w) be the first derivative of -w**9/3024 + w**8/5040 - 7*w**3/3 + 12. Let v(u) be the third derivative of m(u). Factor v(b).
-b**4*(3*b - 1)/3
Suppose 32 = -3*v + 62. Factor 8*p**2 - 13*p**3 - 12*p - v*p**3 + 27*p**3.
4*p*(p - 1)*(p + 3)
Suppose 142*r - 840 = -278*r. Factor 0*y + 1/6*y**3 + 0*y**r + 0.
y**3/6
Factor 12/5 - 2/5*g**2 - 2*g.
-2*(g - 1)*(g + 6)/5
Let u(r) be the third derivative of r**8/126 + r**7/15 - 19*r**6/180 - 67*r**5/45 + 8*r**4/3 + 32*r**3/9 + 41*r**2. Let u(y) = 0. Calculate y.
-4, -1/4, 1, 2
Let o(c) = c**3 + 46*c**2 - 97*c - 46. Let f be o(-48). Let b(d) be the second derivative of -1/18*d**4 - 2/3*d**f - 1/3*d**3 + 8*d + 0. Factor b(h).
-2*(h + 1)*(h + 2)/3
Let r be 2/2 + ((-6)/27 - (-35)/(-45)). Factor -15/4*q**4 + 0 + 3/2*q**3 + 0*q + r*q**2.
-3*q**3*(5*q - 2)/4
Factor 2 + 1 + 3*t**2 - 6*t - 7*t + 3*t.
(t - 3)*(3*t - 1)
Let a(p) be the second derivative of -1/55*p**6 - 11*p - 2/55*p**5 + 0 + 0*p**2 + 1/66*p**4 + 2/33*p**3. Suppose a(u) = 0. What is u?
-1, 0, 2/3
Let s(j) be the first derivative of 7/8*j**2 + 12 + 3/4*j - 5/6*j**3. What is x in s(x) = 0?
-3/10, 1
Let r(g) be the first derivative of g**6/2 - 21*g**5/5 + 27*g**4/2 - 20*g**3 + 12*g**2 - 53. Factor r(j).
3*j*(j - 2)**3*(j - 1)
Let a(u) be the second derivative of u**7/105 - u**6/25 + u**5/25 - u + 72. Find s such that a(s) = 0.
0, 1, 2
Let l be 1/11 - (-7812)/5544. Factor l*i + 0 + 3/2*i**2.
3*i*(i + 1)/2
Let r(z) be the third derivative of 7*z**2 - 1/96*z**4 + 0 + 0*z + 0*z**3 - 1/240*z**5. Solve r(n) = 0 for n.
-1, 0
Suppose -5*h - 2*h = -63. Suppose 12 - 4*q**2 - 4*q**3 - 21 + h = 0. What is q?
-1, 0
Let o(z) be the second derivative of 1/60*z**5 + 0*z**2 + 29*z - 1/36*z**4 - 1/3*z**3 + 0. Suppose o(c) = 0. What is c?
-2, 0, 3
Let k(r) be the second derivative of r**6/360 + r**5/20 + 3*r**4/8 + r**3/6 - 12*r. Let i(f) be the second derivative of k(f). Factor i(j).
(j + 3)**2
Let m(u) = 42*u**4 - 324*u**3 - 834*u**2 - 468*u - 27. Let h(v) = -3*v**4 + 25*v**3 + 64*v**2 + 36*v + 2. Let w(z) = 27*h(z) + 2*m(z). Factor w(b).
3*b*(b + 1)*(b + 2)*(b + 6)
Let p(o) be the third derivative of -o**10/7560 - o**9/3780 + o**8/1680 + o**7/630 - 5*o**4/12 - 8*o**2. Let k(u) be the second derivative of p(u). Factor k(l).
-4*l**2*(l - 1)*(l + 1)**2
Let z(x) = 44*x**3 - 1744*x**2 + 17696*x - 15856. Let q(a) = -8*a**3 + 317*a**2 - 3217*a + 2883. Let u(p) = 28*q(p) + 5*z(p). Factor u(n).
-4*(n - 19)**2*(n - 1)
Let d(o) = -o**2 + 298*o - 2601. Let q be d(9). Let m be (-1)/(-2*(-1)/(-4)). What is r in 1/2*r - 1/4*r**3 + 1/4*r**m + q = 0?
-1, 0, 2
Solve 3*r**4 - 83*r**2 + 75 - 9*r**4 + 124*r**3 - 30*r**4 + 8*r**4 - 160*r = 0 for r.
-1, 3/7, 5/2
Let y(k) be the second derivative of 0*k**3 - 7*k + 0*k**2 + 1/33*k**4 + 0 - 3/110*k**5. Factor y(p).
-2*p**2*(3*p - 2)/11
Let b be (-3)/2 + (-1225)/(-630). Let l(g) be the first derivative of 0*g - 4/3*g**2 - 2 + b*g**3. What is a in l(a) = 0?
0, 2
Let n(w) = -3*w**3 + 10*w**2 - 9*w. Let t(y) = 15*y**3 - 51*y**2 + 46*y + 1. Let v(d) = 11*n(d) + 2*t(d). Factor v(k).
-(k - 1)**2*(3*k - 2)
Let h = 350 + -346. Let b(j) be the third derivative of -1/28*j**h + 2*j**2 + 2/21*j**3 + 0*j + 0 + 0*j**5 + 1/420*j**6. Factor b(q).
2*(q - 1)**2*(q + 2)/7
Let x(w) be the second derivative of 0 + 0*w**2 - 1/10*w**5 - 31*w - w**3 + 2/3*w**4. Let x(q) = 0. Calculate q.
0, 1, 3
Let j(c) = 2*c**3 - 10*c. Let r(g) = g. Let q(v) = j(v) + 8*r(v). Factor q(b).
2*b*(b - 1)*(b + 1)
Let g(l) be the first derivative of -l**4/3 + 8*l**3 + 8*l**2/3 - 96*l + 194. Factor g(f).
-4*(f - 18)*(f - 2)*(f + 2)/3
Let c(w) = w**3 + 16*w**2 + 4*w + 6. Let b be c(-16). Let l = b + 61. Factor -3/5*o - 1/5 - 3/5*o**2 - 1/5*o**l.
-(o + 1)**3/5
Let j(d) = -16*d**2 - d + 2. Let z be j(1). Let r be 4/z*225/(-50). Factor -12/5*k**2 + 3/5*k**3 - r + 3*k.
3*(k - 2)*(k - 1)**2/5
Suppose -8*z - 26 = -21*z. Let b(o) be the second derivative of -9*o + 0*o**3 + 0*o**z - 1/30*o**5 - 1/9*o**4 + 0. Factor b(j).
-2*j**2*(j + 2)/3
Let p = 1454/5 - 4342/15. Factor -1/6*q**2 - 2 + p*q.
-(q - 6)*(q - 2)/6
Factor 1/9*h**2 - 16/3*h + 64.
(h - 24)**2/9
Let q(n) be the third derivative of 0*n - 1/60*n**6 + 13*n**2 + 125/3*n**3 + 1/2*n**5 - 25/4*n**4 + 0. Factor q(j).
-2*(j - 5)**3
Let c = 283 - 280. Let x(z) be the third derivative of -1/50*z**5 - 10*z**2 + 0 - 1/300*z**6 + 0*z**4 + 0*z + 0*z**c. Solve x(k) = 0 for k.
-3, 0
Let l(t) be the second derivative of 5*t + 0 + 0*t**2 - 1/18*t**4 + 2/3*t**3 - 1/36*t**5 + 7/540*t**6. Let m(s) be the second derivative of l(s). Factor m(x).
2*(x - 1)*(7*x + 2)/3
Let w be ((-2)/(-10))/((-84)/(-140)). Factor 0*j + 1/3*j**2 - w.
(j - 1)*(j + 1)/3
Let u(w) be the second derivative of -5*w**4/48 + 10*w**3/3 + 3*w + 8. Factor u(a).
-5*a*(a - 16)/4
Let c(n) be the third derivative of -n**8/112 - n**7/42 + n**6/60 - 421*n**2. Find b, given that c(b) = 0.
-2, 0, 1/3
Let 2/3*z**2 + 2/3*z**5 - 2/3*z**4 + 4*z + 0 - 14/3*z**3 = 0. Calculate z.
-2, -1, 0, 1, 3
Let x be (-753)/(-39) - (4 - -15). Factor -x*i - 2/13*i**3 + 0 + 6/13*i**2.
-2*i*(i - 2)*(i - 1)/13
Let x(c) be the second derivative of 1/18*c**3 + 0 + 1/180*c**5 - 1/36*c**4 + 6*c - c**2. Let s(n) be the first derivative of x(n). Factor s(w).
(w - 1)**2/3
Determine k so that -141/5 - 123/5*k + 18/5*k**2 = 0.
-1, 47/6
Let h = -4 + 7. Let u(n) = -n**3 + 2*n**2 + 4*n. Let t be u(3). Solve -3*p**3 - 7*p + p - 6*p**2 - 2*p**3 - 2 + t*p**h = 0 for p.
-1
Let s = 4845 - 4842. Determine z, given that 