, -1, 1
Suppose 22 = -t - 0*t. Let n(m) = -m**3 + m**2. Let v(p) = 2*p**4 + 11*p**3 - 17*p**2 + 4*p. Let s(x) = t*n(x) - 2*v(x). Factor s(r).
-4*r*(r - 1)**2*(r + 2)
Let b be ((-9)/12)/(((-18)/32)/(9/6)). Find s such that 0*s + 1/3*s**3 + 0 + 1/6*s**4 - 1/2*s**b = 0.
-3, 0, 1
Let f = 2092 + -6275/3. Factor 4/3 - j**2 + 0*j - f*j**3.
-(j - 1)*(j + 2)**2/3
Find v, given that -10*v**2 - 4*v**2 + 48*v + 102 + 18*v**2 + 6 = 0.
-9, -3
Let h(y) be the third derivative of -y**5/180 - y**4/18 + 94*y**2. Solve h(c) = 0 for c.
-4, 0
Let a(r) be the first derivative of 3*r**4/8 - 41*r**3/2 + 237*r**2/4 - 117*r/2 + 159. Factor a(v).
3*(v - 39)*(v - 1)**2/2
Let i(f) be the first derivative of -2*f**6/3 + 16*f**5/5 - 3*f**4 - 1. Factor i(y).
-4*y**3*(y - 3)*(y - 1)
Let p(l) be the third derivative of l**8/26880 - l**6/2880 - l**4/2 - 12*l**2. Let i(z) be the second derivative of p(z). Factor i(c).
c*(c - 1)*(c + 1)/4
Let x = -17 + 19. Let w be (x - 48/1)*(-1)/8. Determine s, given that 1/2 - 5*s**3 - w*s**2 - 1/4*s = 0.
-1, -2/5, 1/4
Let v be (-6 - 0)*22/(-330). What is y in -2/5*y + 1/5*y**4 + 0 - 1/5*y**2 + v*y**3 = 0?
-2, -1, 0, 1
Let g = 442 - 424. Let p(j) be the first derivative of -g*j - 1 + 6*j**2 - 2/3*j**3. Factor p(s).
-2*(s - 3)**2
Let o(c) = 2*c**2 + c - 1. Let a(j) = j**2 - 18*j + 1. Let g be a(18). Let r be o(g). Factor 0*h + 1/2*h**r + 0.
h**2/2
Let o(w) be the first derivative of -29 + 0*w**2 + 0*w - w**4 + 8/3*w**3. Factor o(y).
-4*y**2*(y - 2)
Let v be (-2)/(-1) - 1*-1. Let s = 0 + v. Find t, given that -2*t + 2 + t**2 - 19*t**s - 2 + 20*t**3 = 0.
-2, 0, 1
Suppose 26*l - 22*l = 16. Solve -6 - l*w**3 + 9*w**2 + 16 + 43*w + 2*w**2 = 0.
-2, -1/4, 5
Let g(u) be the first derivative of u**2/2 + 14*u - 11. Let a be g(-9). Factor -3*o**2 - 3*o - 4*o**2 + 5*o + a*o**2.
-2*o*(o - 1)
Let z(d) be the first derivative of 3*d**3 + 15 - 9*d**4 + 21/5*d**5 + 0*d + 3*d**2. Factor z(a).
3*a*(a - 1)**2*(7*a + 2)
Let d be (-5)/42 - (18/63)/(-1). Let c(k) be the first derivative of -d*k**3 - 1/2*k**2 + 0*k + 1/8*k**4 + 2. Factor c(z).
z*(z - 2)*(z + 1)/2
Factor 4/7*y**2 + 96/7 + 8*y.
4*(y + 2)*(y + 12)/7
Suppose 4*n + 462 = -3*m + m, n = 3*m - 112. Let q = -113 - n. Suppose -2/13*v**q - 32/13 - 16/13*v = 0. What is v?
-4
Let r be 52/182 + ((-24)/(-14) - 2). Factor -2/3*w**5 + 8/3*w**2 + 10/3*w**4 + 0 - 16/3*w**3 + r*w.
-2*w**2*(w - 2)**2*(w - 1)/3
Let l(h) be the first derivative of -h**4/14 + 32*h**3/21 - 64*h**2/7 - 598. Factor l(o).
-2*o*(o - 8)**2/7
Suppose -3 = -3*s + 5*v + 7, -v = -3*s + 2. Suppose s = -r - 3*d - 3, -4 = -5*r - 2*d + 6*d. Factor r + 0*z + 2/5*z**4 - 2/5*z**3 + 0*z**2.
2*z**3*(z - 1)/5
Let m(v) = -v + 3 - 4 - 1. Let i be m(-5). Solve 3*y**2 - y**2 + y - 2*y + i*y = 0 for y.
-1, 0
Let g = -33 - -6. Let z be (-3)/(g/(-2)) + 64/45. Find m, given that -2/5*m**4 + 0 - z*m**3 - 4/5*m**2 + 0*m = 0.
-2, -1, 0
Factor -3 - 85 - 29*g - 4*g**2 - 78*g + 15*g.
-4*(g + 1)*(g + 22)
Let h(a) = 2665 - 2*a**2 + 12*a - 1340 - 1343. Let v(s) = 17 - 6 + 25 + 4*s**2 - 24*s. Let m(l) = 9*h(l) + 4*v(l). Factor m(w).
-2*(w - 3)**2
Let g(z) be the first derivative of 8/21*z**3 + 0*z - 6 - 1/7*z**2 - 8/35*z**5 - 1/7*z**4 + 1/7*z**6. Let g(p) = 0. Calculate p.
-1, 0, 1/3, 1
Let f be (-5)/((-360)/207)*(-61)/(-1). Let h = f + -175. Suppose 1/8*d**2 + h*d + 1/4 = 0. What is d?
-2, -1
Let s(d) be the first derivative of d**3/2 - 3*d**2/4 + 28. Determine k so that s(k) = 0.
0, 1
Suppose 56*y = -8*y - 75*y + 278. Factor -3/5*o**y - 21/5*o - 6.
-3*(o + 2)*(o + 5)/5
Let w(j) be the second derivative of 0 + 0*j**4 - 8*j + 3/2*j**3 - 3/20*j**5 + 3*j**2. Factor w(a).
-3*(a - 2)*(a + 1)**2
Let d(n) be the first derivative of n**4/18 + 16*n**3/27 - 11*n**2/9 - 4*n + 47. Suppose d(i) = 0. Calculate i.
-9, -1, 2
Let v(w) be the second derivative of -w**5/70 + 5*w**4/42 - 2*w**3/21 - 8*w**2/7 - 32*w - 1. Factor v(c).
-2*(c - 4)*(c - 2)*(c + 1)/7
Suppose 0 = 4*i + 24, 4*a - 126*i + 18 = -131*i. What is b in -1/6*b**a - 343/6 - 7/2*b**2 - 49/2*b = 0?
-7
Let g(n) = n**2 - 4*n - 137. Let i be g(-10). What is m in -2/9*m**2 - 1/9*m**i + 1/9*m + 2/9 = 0?
-2, -1, 1
Let x(j) be the third derivative of 2*j**7/35 + 5*j**6/4 - 103*j**5/80 + 13*j**4/32 + 35*j**2. Factor x(s).
3*s*(s + 13)*(4*s - 1)**2/4
Let i(l) be the first derivative of 5/6*l**4 - 2/3*l + 5/6*l**5 - 7/6*l**3 - 14 - 5/3*l**2. Factor i(p).
(p - 1)*(p + 1)*(5*p + 2)**2/6
Let x(l) = -13*l**2 - 90*l - 8. Let m(i) = 28*i**2 + 180*i + 18. Let f(b) = -4*m(b) - 9*x(b). Factor f(c).
5*c*(c + 18)
Factor -188/3*k + 2/3*k**2 + 4418/3.
2*(k - 47)**2/3
Let z(p) be the third derivative of p**7/504 - p**6/48 - p**5/6 + 3*p**4/8 - 13*p**2. Let t(a) be the second derivative of z(a). What is b in t(b) = 0?
-1, 4
Let s(a) be the third derivative of -a**7/50 - 29*a**6/100 - 149*a**5/100 - 61*a**4/20 - 12*a**3/5 - 252*a**2. Let s(q) = 0. What is q?
-4, -3, -1, -2/7
Suppose 0 = -2*m - x + 2*x + 12, 20 = 2*m + x. Suppose m*u = 6*u + 38. Factor u - 19 - 3*q**3 + 3*q**5.
3*q**3*(q - 1)*(q + 1)
Let p(a) be the third derivative of -a**8/1008 + 2*a**7/315 + a**6/120 - a**5/18 - a**4/9 - 661*a**2. Suppose p(s) = 0. Calculate s.
-1, 0, 2, 4
Let h(q) be the second derivative of -q**5/4 + 5*q**4/3 + 5*q**3/6 - 10*q**2 - 26*q. Solve h(f) = 0 for f.
-1, 1, 4
Let l = 14 + -11. Factor -l*s - 6*s**2 - 7*s**3 - 8*s**3 + 12*s**3.
-3*s*(s + 1)**2
Let t(w) be the third derivative of 0*w + 12*w**2 - 1/24*w**4 + 1/6*w**3 + 0 - 1/60*w**5 + 1/120*w**6. Let t(h) = 0. Calculate h.
-1, 1
Let g = -13 - -17. Factor 0*i**4 + 3*i**5 + 0*i**3 - i**5 - 4*i**3 + 2*i**g.
2*i**3*(i - 1)*(i + 2)
Suppose -29*y + 361*y**4 + 353*y**4 + 192 + 28*y**2 - 4*y**3 - 715*y**4 + 189*y = 0. What is y?
-4, -2, 6
Factor -328*f**2 - 102*f**3 - 95*f**3 - 1456*f + 213*f**3 + 4*f**4 + 1764.
4*(f - 9)*(f - 1)*(f + 7)**2
Factor 830*g - 62 - 3125*g**2 + 170*g - 18.
-5*(25*g - 4)**2
Factor 40/13*r - 38/13 - 2/13*r**2.
-2*(r - 19)*(r - 1)/13
Let r(k) = k**2 + 17*k - 27. Let f(h) = 4*h**2 + 84*h - 134. Let o(a) = 3*f(a) - 14*r(a). Factor o(d).
-2*(d - 4)*(d - 3)
Let 0 + 21/5*l**2 + 8/5*l**3 + 18/5*l + 1/5*l**4 = 0. What is l?
-3, -2, 0
Let p be (164/(-40))/41*-5. Factor 0 - p*u - u**2 - 1/2*u**3.
-u*(u + 1)**2/2
Let f(z) be the second derivative of -26*z + 0*z**2 - 1/90*z**5 + 0 + 0*z**3 - 1/135*z**6 + 0*z**4. Factor f(o).
-2*o**3*(o + 1)/9
Suppose 3*r - 4*r + 13 = 0. Let f(m) = m**3 - 13*m**2 + m - 3. Let d be f(r). Solve 12*q**2 + 2*q + d*q**4 - 26*q**3 - 9 + 6*q**2 + 5 = 0 for q.
-2/5, 1
Factor -8*d - 1479*d**3 + 1474*d**3 - 20*d**2 + 50 + 43*d.
-5*(d - 2)*(d + 1)*(d + 5)
Let a(m) be the second derivative of -8/27*m**3 + 0 + 3*m + 7/54*m**4 - 1/90*m**5 - 16/9*m**2. Factor a(d).
-2*(d - 4)**2*(d + 1)/9
Suppose j = 48*k - 52*k - 24, 0 = -j + 5*k + 30. Suppose 1/7*i**3 + j*i**2 - i + 6/7 = 0. Calculate i.
-3, 1, 2
Factor -52*q**3 + 17*q**2 + 3*q**2 + 31571*q**4 - 13*q**3 - q**5 - 31537*q**4 + 12*q**2.
-q**2*(q - 32)*(q - 1)**2
Let j(t) = 4*t - 31. Let l be j(11). Factor 15*y**2 - 2*y - 10*y**2 - l*y.
5*y*(y - 3)
Let s = 252 + -251. Suppose -5*n + 20 = -5*p, -n - 4*p = -s + 2. Find v, given that -n*v + 3*v**3 - 3/4*v**4 + 3 - 9/4*v**2 = 0.
-1, 1, 2
Let k(z) be the first derivative of z**4/54 + 4*z**3/27 + 4*z**2/9 + 39*z + 43. Let y(c) be the first derivative of k(c). Solve y(v) = 0 for v.
-2
Let y(j) be the second derivative of 0*j**2 - 1/24*j**4 - 1/80*j**5 - 26*j + 0 - 1/24*j**3. Find k, given that y(k) = 0.
-1, 0
Let u(t) = t - 2. Let b be u(5). Determine l so that 40*l**3 - 36*l**b - 4*l - 2*l**4 + 2*l**2 + 0*l = 0.
-1, 0, 1, 2
Determine y, given that 2/3*y**4 + 4/3*y**2 + 8/3*y**3 - 8/3*y - 2 = 0.
-3, -1, 1
Let h(v) be the first derivative of -v**6/120 - v**5/20 + 3*v**4/8 - 5*v**3/6 - 5*v**2/2 + 11. Let b(r) be the second derivative of h(r). Factor b(w).
-(w - 1)**2*(w + 5)
Let l = -123 + 34. Let x = l - -91. Find y such that 5/3*y**x - 5/3 + 0*y = 0.
-1, 1
Let r be (-5)/(175/(-10)) + (-60)/(-35). Factor 16/3 + 1/3*b**r + 8/3*b.
(b + 4)**2/3
Let y(f) be the first derivative of -f**4/12 - 3*f**3 - 81*f**2/2 - 2*f - 41. Let m(s) be the first derivative of y(s). Factor m(u).
-(u + 9)**2
Let m(v) = 6*v**3 + 73*v**2 - 81*v + 27. Let b(z) = -3*z**3 - 38*z**2 + 40*z - 14. Let f(a) = -5*b(a) - 3*m(a). Fa