 5*q**3 - 4 - q**3 = 0. What is q?
-2, 1/4
Let c(k) = k**2 - 7*k + 2. Let y be c(7). Factor 0*v**2 - 2*v**y + 7*v**4 + v**3 - 6*v**4.
v**2*(v - 1)*(v + 2)
Let c(q) = q**2 + 5*q - 6. Let y be c(-6). Let v(g) be the third derivative of -1/42*g**5 + 0*g - 2/21*g**4 - 4/21*g**3 + y + 3*g**2 - 1/420*g**6. Factor v(j).
-2*(j + 1)*(j + 2)**2/7
Suppose 1 = 2*r - d - 3, 8 = 4*d. Suppose -8*a + 3*a = -10. Factor -4/5*p**a + 4/5 + 2*p**r - 2*p.
2*(p - 1)*(p + 1)*(5*p - 2)/5
Let s(i) be the first derivative of 2*i**3/5 + 9*i**2/5 + 12*i/5 + 18. Suppose s(n) = 0. What is n?
-2, -1
Let j = -8 - -12. Factor 4 - 4*t - 3*t**2 - j + 3*t**3 - 2*t.
3*t*(t - 2)*(t + 1)
Suppose 5*v = 3*s + 9, -2*v - 2 = -3*s - 11. Suppose p**2 - 2*p**2 + v*p**2 - 5*p + 4*p = 0. What is p?
-1, 0
Let v(l) be the third derivative of -49*l**5/510 - 7*l**4/34 - 3*l**3/17 - 5*l**2. Determine d, given that v(d) = 0.
-3/7
Suppose -c = -2 - 0. Let f(y) be the third derivative of 0*y - c*y**2 - 2/3*y**3 - 1/60*y**5 - 1/6*y**4 + 0. Factor f(w).
-(w + 2)**2
Suppose -5*y - 3 + 18 = 0. Let 3*w**4 + 0*w**4 - 3*w**3 + y*w**2 - 3*w**3 = 0. Calculate w.
0, 1
Let d = 3 - -2. Suppose -7*y + 2 - y + y - 2*y**2 + d*y**2 = 0. What is y?
1/3, 2
Factor 2/13*z**2 - 6/13*z + 4/13.
2*(z - 2)*(z - 1)/13
What is r in -449*r**3 + 4*r**4 + 15*r**4 - 2*r**5 + 486*r - 1458 + 1404*r**2 - 35*r**3 + 35*r**4 = 0?
-1, 1, 9
Let n(m) = 20*m**3 + 37*m**2 - 35*m - 52. Let q(p) = 440*p**3 + 815*p**2 - 770*p - 1145. Let s(r) = 45*n(r) - 2*q(r). Factor s(f).
5*(f + 1)*(f + 2)*(4*f - 5)
Let u be 40/90 + (-12)/27. Find x, given that -1/3*x**2 + u*x + 1/3 = 0.
-1, 1
Let d(z) be the first derivative of z**7/420 + z**6/240 + 5*z**2/2 - 1. Let f(v) be the second derivative of d(v). What is k in f(k) = 0?
-1, 0
Let n(w) = -11*w**2 + 15*w + 12. Let u(l) = 6*l**2 - 8*l - 6. Let f(t) = 4*n(t) + 7*u(t). Suppose f(v) = 0. Calculate v.
-1, 3
Suppose 0*r = -3*r + 6. Let d(a) = a**2 - 13*a - 4. Let i(l) = -6*l - 2. Let u(t) = r*d(t) - 5*i(t). Factor u(g).
2*(g + 1)**2
Factor h**2 + 8*h + 4*h + 5*h**2 - 2*h**2.
4*h*(h + 3)
Let f(v) be the first derivative of v**7/42 - v**6/60 - v**5/10 + v**4/12 + v**3/6 - v**2/4 + v + 4. Let s(u) be the first derivative of f(u). Solve s(h) = 0.
-1, 1/2, 1
Let m = -11 - -11. Let x(y) be the first derivative of 0*y - 4/15*y**3 + 3/5*y**4 + m*y**2 + 1 + 7/25*y**5. Factor x(f).
f**2*(f + 2)*(7*f - 2)/5
Suppose -2*j - 7*z = -2*z + 11, -5*z - 19 = -2*j. Factor -j*k**5 + k**5 + 4*k**3 + 0*k - 2*k - k**5.
-2*k*(k - 1)**2*(k + 1)**2
Let i be (-9)/12 - (-203)/196. Solve 2/7*c**3 + i*c**2 - 2/7*c - 2/7 = 0 for c.
-1, 1
Let g(y) be the first derivative of -2/3*y**3 + 2/5*y**5 + 1/2*y**4 - 4 + 0*y - y**2. Factor g(f).
2*f*(f - 1)*(f + 1)**2
Suppose 4*r - 6*r = -6. Let n(c) = c**3 - 2*c**2 - 2*c. Let a be n(r). Suppose -6*w**5 - 26*w**4 - 16*w**a - 28*w**3 - 36*w**2 + w - 15*w - 2 = 0. What is w?
-1, -1/3
Let -t + 7*t + 0*t + 18*t**3 + 2*t + 40*t**2 = 0. Calculate t.
-2, -2/9, 0
Let y(h) be the third derivative of 5*h**7/2016 + h**6/288 + h**5/480 + 5*h**4/24 - h**2. Let j(g) be the second derivative of y(g). Factor j(z).
(5*z + 1)**2/4
Let y = 15 + -9. Let d be 2 - y - (-15 + 9). What is a in 2/5*a**3 - 2/5*a**4 + 0 + 2/5*a**d - 2/5*a = 0?
-1, 0, 1
Let t = 51 - 36. Let x be (-6)/18 - t/(-18). What is y in -1/4*y + x - 1/4*y**2 = 0?
-2, 1
Let t(r) be the first derivative of -28*r**4 - 36*r**3 + 6*r**2 + 8*r + 9. Find n, given that t(n) = 0.
-1, -1/4, 2/7
Let x(j) be the first derivative of j**6/2 + 9*j**5/5 + 9*j**4/4 + j**3 + 10. Suppose x(f) = 0. Calculate f.
-1, 0
Let s(z) = -2*z**5 - 25*z**4 + 7*z**2 + 7*z. Let c = 12 + -14. Let k(y) = -y**5 - 8*y**4 + 2*y**2 + 2*y. Let o(x) = c*s(x) + 7*k(x). Solve o(m) = 0 for m.
-2, 0
Let g(p) be the third derivative of p**7/3780 + p**6/1080 - p**5/90 + p**4/8 - 3*p**2. Let m(a) be the second derivative of g(a). Factor m(x).
2*(x - 1)*(x + 2)/3
Let h(v) be the first derivative of -v**3/5 - 27*v**2/5 - 243*v/5 - 41. Factor h(o).
-3*(o + 9)**2/5
Let t(z) = 6*z**5 + 9*z**3 + 12*z**2 - 3*z + 5. Let y(p) = -p**5 + p**4 - p**2 + p - 1. Let r(c) = t(c) + 5*y(c). Find l such that r(l) = 0.
-2, -1, 0
Let m be 3*-1 - (-13 + -2). Let y be 6/m + 34/12. Let 0 - 8/9*l**5 - 14/9*l**2 - 2/9*l - y*l**3 - 26/9*l**4 = 0. What is l?
-1, -1/4, 0
Let i(a) = -a**3 - 14*a**2 + 20*a - 6. Let h(s) = 5*s**3 + 55*s**2 - 80*s + 25. Let f(g) = 6*h(g) + 25*i(g). Find c such that f(c) = 0.
0, 2
Let a = 1762 + -68738/39. Let h = 24/13 + a. Factor 0 - 2/3*z**3 - 2/3*z - h*z**2.
-2*z*(z + 1)**2/3
Factor 0 - 4/17*s**3 + 2/17*s**2 + 2/17*s**4 + 0*s.
2*s**2*(s - 1)**2/17
Let u be (2/10)/1 + (-1)/30. Let h(v) be the first derivative of 1/4*v**4 + 1/5*v**5 + 0*v - 1/3*v**3 - u*v**6 + 0*v**2 + 1. Determine j, given that h(j) = 0.
-1, 0, 1
Let y(d) be the third derivative of 1/165*d**5 + 0*d**3 - 3*d**2 + 0 - 1/1155*d**7 - 1/660*d**6 + 0*d + 0*d**4. Let y(r) = 0. What is r?
-2, 0, 1
Let c(o) be the first derivative of 8*o**6 - 24*o**5/5 - 117*o**4/4 - 17*o**3 - 3*o**2 - 6. Let c(f) = 0. Calculate f.
-1, -1/4, 0, 2
Let w(a) = -2*a + 7. Let p be w(3). Let r(i) be the first derivative of -1/3*i**4 + 1/9*i**6 + 0*i + 0*i**3 + p + 0*i**5 + 1/3*i**2. Let r(s) = 0. Calculate s.
-1, 0, 1
Let u(a) be the second derivative of a + 0*a**3 + 0*a**5 + 1/20*a**6 + 0*a**4 + 1/28*a**7 + 0 + 0*a**2. Determine w so that u(w) = 0.
-1, 0
Let j(b) be the first derivative of 3*b**4/4 - 2*b**3 + 3*b**2/2 + 24. Factor j(u).
3*u*(u - 1)**2
Let m(t) be the first derivative of 0*t**3 + 0*t**2 + 0*t**4 + 0*t + 2/15*t**5 + 1. Factor m(i).
2*i**4/3
Let h(w) be the third derivative of w**8/10920 - w**7/5460 - w**6/2340 + w**5/780 + w**3/2 + 7*w**2. Let a(d) be the first derivative of h(d). Solve a(l) = 0.
-1, 0, 1
Let q(r) be the third derivative of r**7/840 - r**6/360 - r**5/120 + r**4/24 - 5*r**3/6 + 2*r**2. Let o(y) be the first derivative of q(y). Factor o(h).
(h - 1)**2*(h + 1)
Let l(k) be the first derivative of -k**3/3 + 5*k**2/2 + 14*k + 30. Find b such that l(b) = 0.
-2, 7
Let j(u) be the third derivative of -u**9/4032 - u**8/3360 + u**5/15 + u**2. Let f(q) be the third derivative of j(q). Solve f(t) = 0.
-2/5, 0
Suppose 5*x = 2*p - 7*p + 20, -3*x + 4*p + 12 = 0. Let a(t) be the second derivative of -1/6*t**x - t - 2/3*t**3 - t**2 + 0. Factor a(v).
-2*(v + 1)**2
Let c(v) be the first derivative of -3/20*v**4 + 0*v + 12/25*v**5 + 0*v**2 - 1 - 7/30*v**6 - 2/15*v**3. Find t, given that c(t) = 0.
-2/7, 0, 1
Let f = -28 + 32. Let l(j) be the first derivative of 0*j + 1/9*j**3 - 1/15*j**5 + 1/6*j**2 - 1/12*j**f + 2. Suppose l(z) = 0. Calculate z.
-1, 0, 1
Let r = -121/14 + 633/70. Find s such that -r + 1/5*s**2 - 1/5*s = 0.
-1, 2
Let w = 64 - 24. Let q be 3/15 - (-2)/w. Factor -1/4*r**2 + 0 + 0*r - q*r**3.
-r**2*(r + 1)/4
Let n(c) be the third derivative of 0*c + 10*c**2 + 1/60*c**5 - 1/8*c**4 + 1/3*c**3 + 0. Suppose n(m) = 0. Calculate m.
1, 2
Let l be 1 - (0 + -8 + 2). Let r(k) = k**3 - 6*k**2 - 6*k - 5. Let g be r(l). Suppose -2/11*i**3 - 4/11*i**g + 0*i + 0 + 4/11*i**4 + 2/11*i**5 = 0. Calculate i.
-2, -1, 0, 1
Let y = -239 + 242. Suppose 4/7*h + 2/7*h**y + 6/7*h**2 + 0 = 0. What is h?
-2, -1, 0
Let n(o) be the third derivative of -1/18*o**3 + 0 + o**2 + 0*o + 0*o**4 + 1/180*o**5. Find b, given that n(b) = 0.
-1, 1
Factor -w**2 - 4*w**2 + 472 - 497 - 30*w.
-5*(w + 1)*(w + 5)
Factor 0*w**2 + 1/4*w**3 + 0*w + 0 - 1/4*w**4.
-w**3*(w - 1)/4
Let r(f) be the first derivative of f**8/3360 + f**7/840 - f**5/120 - f**4/48 + f**3/3 + 2. Let s(l) be the third derivative of r(l). Factor s(b).
(b - 1)*(b + 1)**3/2
Let x(w) = w**2 - 17*w + 44. Let s be x(14). Let -6/5*i - 21/5*i**s + 21/5*i**4 + 0 + 6/5*i**3 = 0. What is i?
-1, -2/7, 0, 1
Let i(n) be the third derivative of n**7/630 + 11*n**6/360 + 2*n**5/15 - n**4/2 + 32*n**2. Factor i(g).
g*(g - 1)*(g + 6)**2/3
Let q = -20 + 22. Suppose -3*x**2 + x**2 + 8 + 4*x**q + 2*x**2 - 12*x = 0. Calculate x.
1, 2
Let i(y) be the second derivative of y**7/42 + y**6/10 + y**5/10 - y**4/6 - y**3/2 - y**2/2 - 7*y. Determine h so that i(h) = 0.
-1, 1
Let o = -7 + 12. Factor 9*d**5 - 7*d**3 - 2*d**2 - 6*d**o + 2*d**4 + 4*d**5.
d**2*(d - 1)*(d + 1)*(7*d + 2)
Factor 2/3*b**3 - 2/3*b - 2 + 2*b**2.
2*(b - 1)*(b + 1)*(b + 3)/