 t(d) = d**3 + d**2 + 13*d - 6. Let i be 13/(-5) - 12/30. Let s(n) = i*p(n) - t(n). Factor s(v).
2*(v - 1)**2*(v + 3)
Let k(d) = d - 11. Let m be k(5). Let y be 4/(-35)*15/m. Solve y + 0*c - 2/7*c**2 = 0.
-1, 1
Let y = 5 - 2. Factor 3*j**3 + 2*j - y*j**2 + 7*j**2 + 0*j**3 - j**3.
2*j*(j + 1)**2
Let n = 1126/7 - 160. Factor 0 + n*k - 2/7*k**2.
-2*k*(k - 3)/7
Suppose 0 = 49*p - 70 - 126. Determine o, given that -1/7*o**5 - 8/7*o**2 - 6/7*o**p + 0 - 12/7*o**3 + 0*o = 0.
-2, 0
Let w(x) be the first derivative of 98*x**3/33 - 224*x**2/11 + 512*x/11 - 54. Factor w(l).
2*(7*l - 16)**2/11
Let v(s) = 3*s**2 - 1. Suppose -t = -3*q + 2*t, q = -t - 2. Let b be v(q). Suppose -3*x**b - 2*x**4 - x**2 + 4*x**3 + 2*x**2 = 0. What is x?
0, 1
Let i(g) be the first derivative of -g**4 - 32*g**3/3 - 42*g**2 - 72*g - 42. Factor i(r).
-4*(r + 2)*(r + 3)**2
Let y(q) be the second derivative of q**6/135 - q**5/18 + q**4/6 - 7*q**3/27 + 2*q**2/9 - q. Factor y(t).
2*(t - 2)*(t - 1)**3/9
Let k = 26 - 19. Let v(j) be the third derivative of 1/35*j**k + j**2 - 1/10*j**5 - 1/30*j**6 + 1/6*j**4 + 0 + 0*j**3 + 0*j. Factor v(u).
2*u*(u - 1)*(u + 1)*(3*u - 2)
Let p = 3 - 1. Suppose p*f - 5 = -1. Factor 2*u**5 - u**2 + u**f.
2*u**5
Let l be 0 + 3 - (5 + -6)*2. Let a = -1 - -2. Find w, given that w**3 - 1 - 2*w**l + a - 2*w + 3*w**3 = 0.
-1, 0, 1
Let y be 66/(-4)*(-28)/(-21). Let s be (-4)/15 - y/33. Factor -s*m**2 - 6/5*m - 4/5.
-2*(m + 1)*(m + 2)/5
Let c(z) be the third derivative of -z**8/24 - 3*z**7/14 - 49*z**6/120 - 17*z**5/60 + z**4/8 + z**3/3 + 40*z**2. Suppose c(k) = 0. What is k?
-1, -1/2, 2/7
Let s(f) be the second derivative of -1/54*f**4 - 4/9*f**2 - 4/27*f**3 + 0 + 8*f. Find o such that s(o) = 0.
-2
Suppose -5*z - 74 = -84. Let g be (1 + (-38)/30)*-5. What is m in -4/3*m**2 + g*m**3 - 2/3 - z*m + 2/3*m**5 + 2*m**4 = 0?
-1, 1
Let w(c) be the second derivative of 5/6*c**4 + 0 - 2/5*c**6 + c**2 + 3/2*c**3 - 1/5*c**5 - 5/42*c**7 - 3*c. Factor w(q).
-(q - 1)*(q + 1)**3*(5*q + 2)
Let y(p) = p**3 + 4*p**2 - 6*p - 3. Let j be y(-5). Let d be 3/(-2)*32/(-24). What is u in 2 - 14*u + d*u + 2*u**j + 8 + 8 = 0?
3
Factor -8*u**2 + 10*u**3 + 0*u**4 + 4*u**4 - 5*u**3 - u**3.
4*u**2*(u - 1)*(u + 2)
Let f(c) be the first derivative of 8 - 1/11*c**2 - 2/55*c**5 + 1/22*c**4 + 0*c + 2/33*c**3. Factor f(z).
-2*z*(z - 1)**2*(z + 1)/11
Suppose -2*l - 4*h = 2, 3*l + h = -0*h + 7. Suppose -r + l*r - 4 = 0. Factor r*w**4 - 2 - 4*w**2 - 3 + 7.
2*(w - 1)**2*(w + 1)**2
Let t be 2 + 0*(-1)/3. Factor -22/3*n**4 + 2*n + t*n**5 - 20/3*n**2 - 2/9 + 92/9*n**3.
2*(n - 1)**3*(3*n - 1)**2/9
Let q(g) be the first derivative of g**5/30 + g**4/18 - 2*g**3/9 - 8*g + 3. Let h(u) be the first derivative of q(u). Find i such that h(i) = 0.
-2, 0, 1
Let a(j) be the first derivative of j**6/15 + 8*j**5/25 + j**4/2 + 4*j**3/15 + 20. Factor a(n).
2*n**2*(n + 1)**2*(n + 2)/5
Let l(u) = -47*u**2 - 117*u - 75. Let z(v) = 234*v**2 + 584*v + 376. Let x(i) = 16*l(i) + 3*z(i). Factor x(p).
-2*(5*p + 6)**2
Let j(h) be the third derivative of -h**7/350 + h**6/300 + h**5/100 - h**4/60 - 4*h**2. Determine d so that j(d) = 0.
-1, 0, 2/3, 1
Solve i**5 - 1/3*i - 2*i**2 - 2/3*i**3 + 1/3 + 5/3*i**4 = 0.
-1, 1/3, 1
Let d = 8556907/9025290 - -3/66854. Let o = d - 4/27. Solve -12/5*y + o*y**3 + 8/5*y**5 + 18/5*y**4 - 16/5*y**2 - 2/5 = 0.
-1, -1/4, 1
Factor 2 + 6 + 2*j - 5*j + 4*j**3 - 8*j**2 - j.
4*(j - 2)*(j - 1)*(j + 1)
Let u = -18037/4 - -3628. Let q = u - -900. Factor -3 + 105/2*c**3 - q*c**4 + 21*c - 207/4*c**2.
-3*(c - 1)**2*(5*c - 2)**2/4
Let c(y) = -8*y**3 - 95*y**2 - 397*y + 494. Let m(h) = -65*h**3 - 760*h**2 - 3175*h + 3950. Let t(l) = 25*c(l) - 3*m(l). Solve t(n) = 0 for n.
-10, 1
Let f(d) = 2 - d**2 + 0*d**2 - 1. Let u(h) = -3*h**2 + 3. Let c be 28/16 - 2/(-8). Let m(i) = c*u(i) - 5*f(i). Solve m(r) = 0.
-1, 1
Let a(q) be the second derivative of q**6/10 + 3*q**5/5 - 8*q**3 - 24*q**2 + 10*q. Factor a(o).
3*(o - 2)*(o + 2)**3
Let u(z) be the second derivative of -z**8/1680 - z**7/210 - z**6/80 - z**5/60 - 7*z**4/12 - 3*z. Let m(b) be the third derivative of u(b). Factor m(o).
-(o + 2)*(2*o + 1)**2
Let w(g) be the second derivative of -9*g**5/40 + g**4 - 3*g**3/4 - 3*g**2/2 + 6*g. Solve w(d) = 0.
-1/3, 1, 2
Let d = -1/15 - -1/6. Let g(y) be the second derivative of -2*y - d*y**5 - 1/6*y**4 + 1/3*y**3 + y**2 + 0. Suppose g(t) = 0. What is t?
-1, 1
Let l(q) be the third derivative of q**7/280 - q**6/120 - q**5/40 + q**4/8 - q**3/2 + 3*q**2. Let z(f) be the first derivative of l(f). Factor z(c).
3*(c - 1)**2*(c + 1)
Let v(o) be the third derivative of 0*o + 0*o**3 + 0*o**4 + 1/180*o**5 - 3*o**2 + 1/360*o**6 + 0. Find m, given that v(m) = 0.
-1, 0
Let p(c) be the second derivative of 0*c**4 - 2*c + 0*c**3 + c**2 + 1/360*c**6 + 0 - 1/630*c**7 + 0*c**5. Let j(d) be the first derivative of p(d). Factor j(f).
-f**3*(f - 1)/3
Find g such that 4*g - 2*g**3 - 4*g**3 + g**2 - 2*g**4 - 7*g**2 + 8*g**2 + 2*g**5 = 0.
-1, 0, 1, 2
Let d(z) = z**5 + z**2 + z. Suppose 20 = 3*v + v. Let p(m) = 4*m**5 - 4*m**4 - 5*m**3 + 3*m**2 + 5*m. Let n(t) = v*d(t) - p(t). Find b such that n(b) = 0.
-2, -1, 0
Let b(a) = a**3 + 5*a**2 + 2. Let g be b(-5). Find c, given that 2*c**2 - 3*c**g + 1 - 5 + 4*c = 0.
2
Suppose -4*d + 25 = 3*s - 38, 72 = 5*d - 3*s. Let h be (-3)/15 + 33/d. Factor -2/9*a + 0 + 2/9*a**h.
2*a*(a - 1)/9
Let z(c) = c**5 + c**4 - 13*c**3 - 6*c**2 + 17*c + 5. Let d(g) = -6*g**3 - 3*g**2 + 9*g + 3. Let l(h) = 5*d(h) - 3*z(h). Determine y, given that l(y) = 0.
-2, -1, 0, 1
Let o(l) be the second derivative of l**5/70 + l**4/14 + l**3/7 + l**2/7 + 5*l. Find i, given that o(i) = 0.
-1
Let t(p) be the third derivative of 0*p + 0 - 3/2*p**4 - 2*p**3 + 21/40*p**6 - 2*p**2 + 13/20*p**5. Factor t(y).
3*(y + 1)*(3*y - 2)*(7*y + 2)
Suppose 22*h + 2 - 8 + 6*h**2 - 25*h + 3*h**3 = 0. Calculate h.
-2, -1, 1
Let u(a) = -a**5 + a**4 + a**3 + a**2 - 1. Let m(w) = -5*w**5 + 5*w**4 + 9*w**3 + w**2 - 4*w - 3. Let f(i) = -m(i) + 3*u(i). Let f(t) = 0. Calculate t.
-1, 0, 1, 2
Let q(y) = -y**3 - 3*y**2 + 10*y + 26. Let u be q(-4). Factor -4/3 - 4/3*a + 1/3*a**3 + 1/3*a**u.
(a - 2)*(a + 1)*(a + 2)/3
Factor 4/5*n - 4/5*n**3 + 4/5*n**2 - 4/5.
-4*(n - 1)**2*(n + 1)/5
Let o(p) = 11*p**4 - 5*p**3 - 11*p**2 - 5*p. Let h(b) = -16*b**4 + 7*b**3 + 16*b**2 + 7*b. Let n(d) = -5*h(d) - 7*o(d). What is q in n(q) = 0?
-1, 0, 1
Let f = -2 + -3. Let m(s) = -2*s**5 + 6*s**4 + 5*s**3 - s**2 + 2*s. Let b(t) = 3*t**5 - 6*t**4 - 6*t**3 - 3*t. Let o(g) = f*b(g) - 6*m(g). Solve o(d) = 0 for d.
-1, 0, 1
Let u(s) = -s**2 + 9*s + 12. Let c be u(9). Let w be 4*9/c + -3. Factor -1/5*p + w + 0*p**2 + 1/5*p**3.
p*(p - 1)*(p + 1)/5
Let l(j) = -j**2 - 7*j + 11. Let v be l(-8). Factor 0*q**2 + 3*q**2 - v*q**3 - 4*q**3 + 4*q**3 + 6*q.
-3*q*(q - 2)*(q + 1)
Let n(q) = -q - 11. Let c be n(-14). Let d be (-1)/(-2) + c - 0. What is p in -d*p**3 + 0 - 1/2*p**2 + p + 3*p**4 = 0?
-1/2, 0, 2/3, 1
Let c(u) be the second derivative of u**5/16 - 5*u**4/16 - 5*u**3/6 + 2*u - 3. Factor c(o).
5*o*(o - 4)*(o + 1)/4
Let i(z) be the first derivative of -z**6/720 + z**5/180 - z**4/144 - 3*z**2/2 - 2. Let p(c) be the second derivative of i(c). Factor p(l).
-l*(l - 1)**2/6
Let h(u) be the second derivative of -u**7/6300 - u**6/900 - u**5/300 - u**4/4 + 2*u. Let a(y) be the third derivative of h(y). Let a(m) = 0. What is m?
-1
Let l(t) be the third derivative of 0 + 1/2*t**3 + 1/60*t**5 + 0*t + 4*t**2 - 1/120*t**6 + 5/24*t**4. Factor l(c).
-(c - 3)*(c + 1)**2
Let d(t) = -t. Let w be d(-2). Factor -w*z**2 - 2*z**3 + z**5 + 2*z**3 - 3*z**5 + 2*z**3 + 2*z**4.
-2*z**2*(z - 1)**2*(z + 1)
Suppose 12/7*i - 15/7*i**2 + 3/7*i**5 + 3/7*i**4 - 15/7*i**3 + 12/7 = 0. What is i?
-2, -1, 1, 2
Let l(y) be the first derivative of -6 - 4/51*y**3 - 1/34*y**4 - 1/17*y**2 + 0*y. Determine h, given that l(h) = 0.
-1, 0
Let b = -175 + 180. Factor 0*o**2 - 1/3*o - 1/3*o**b + 0*o**4 + 2/3*o**3 + 0.
-o*(o - 1)**2*(o + 1)**2/3
Let b(o) be the third derivative of 4*o**2 - 1/20*o**5 + 1/4*o**4 + 0*o + 0 + 0*o**3. Factor b(l).
-3*l*(l - 2)
Suppose 7*u + 2*u - 18 = 0. Let 0*o - 2/11*o**u + 0 - 2/11*o**3 = 0. Calculate o.
-1, 0
Let u = -7 + 14. Determine n so that 4 + 15*n**2 - 13*n - 8*n + n - u*n**3 + 8*n**2 = 0.
2/7, 1, 2
Suppose 0*n - 8 = -