p + 1)*(3*p - 1)
Let k be (-20)/(-25)*10/4. Let g(p) be the third derivative of 0*p + 0 + 0*p**6 + 2*p**k - 1/840*p**7 + 1/80*p**5 + 0*p**3 + 1/48*p**4. Solve g(h) = 0.
-1, 0, 2
Let i(f) = 17*f**2 + 12*f - 5. Let t(k) = 18*k**2 + 12*k - 6. Let m(d) = 4*i(d) - 3*t(d). Let m(x) = 0. What is x?
-1, 1/7
Let y be -7*1*12/(-7). Determine h, given that -2 + 3*h - 2*h**3 + 6*h**3 + y*h**2 + 3*h**3 = 0.
-1, 2/7
Factor 12/5*n**3 - 12/5 + 9/5*n**2 - 12/5*n + 3/5*n**4.
3*(n - 1)*(n + 1)*(n + 2)**2/5
Let p(w) be the first derivative of w**6/105 + 3*w**5/70 + w**4/14 + w**3/21 + w - 10. Let q(m) be the first derivative of p(m). Find b such that q(b) = 0.
-1, 0
Let f(q) be the first derivative of -7*q**5/15 + 23*q**4/6 - 4*q**3 + 5*q**2/2 - 7. Let d(g) be the second derivative of f(g). Suppose d(r) = 0. What is r?
2/7, 3
Let n(a) be the first derivative of -4*a**3/21 - 32*a**2/7 - 256*a/7 - 7. Find q, given that n(q) = 0.
-8
Suppose -2*n + 4*n + 14 = 0. Let j = n + 11. Factor c**j + 5*c**3 - c**3 + 2*c**2 + c**4.
2*c**2*(c + 1)**2
Let v = 57 - 54. Factor 1/2*b + 3/2*b**v + 1/2*b**4 + 3/2*b**2 + 0.
b*(b + 1)**3/2
Suppose -r = -3*a + 3, 0 = 5*a - 4*r + 1 + 1. Factor a*s**2 - 4*s + 24 - 24.
2*s*(s - 2)
Let z(b) be the third derivative of b**7/1260 + b**6/120 - 5*b**4/12 - 11*b**2. Let d(v) be the second derivative of z(v). Factor d(a).
2*a*(a + 3)
Let h(s) be the third derivative of s**4/24 - 5*s**3/6 - s**2. Let v be h(5). Factor -1/3*n - 2/3*n**2 + v - 1/3*n**3.
-n*(n + 1)**2/3
Let h(s) be the third derivative of 3/4*s**4 + 0 + 2*s**2 - 3/16*s**6 - 5/84*s**7 + 13/60*s**5 + 0*s + 2/3*s**3. Find c such that h(c) = 0.
-2, -2/5, 1
Let a(m) be the second derivative of 1/20*m**6 + 0*m**3 + 3/40*m**5 - 1/28*m**7 + 0 - 1/8*m**4 + 0*m**2 + 8*m. Factor a(p).
-3*p**2*(p - 1)**2*(p + 1)/2
Let q(n) be the third derivative of n**8/112 - 2*n**7/35 + n**6/40 + n**5/2 - n**4/2 - 4*n**3 + 5*n**2. Solve q(c) = 0.
-1, 2
Let q(n) be the first derivative of -n**4/2 + 2*n**3 - 2*n**2 + 4. Solve q(b) = 0.
0, 1, 2
Suppose 3*g + f - 8 = 0, 5*f + 0 = -4*g + 18. Let l(c) be the first derivative of 3/2*c**g + 22/3*c**3 - 2*c - 3/4*c**4 - 2 - 4*c**5. Let l(o) = 0. What is o?
-1, -2/5, 1/4, 1
Let u(b) be the third derivative of 0 + 5*b**2 + 1/24*b**6 + 0*b - 1/30*b**5 + 3/112*b**8 + 0*b**4 + 0*b**3 + 8/105*b**7. Factor u(v).
v**2*(v + 1)**2*(9*v - 2)
Let m(a) = -3*a**2 + 3*a + 11. Let z(r) = 4*r**2 - 4*r - 16. Let s(i) = -8*m(i) - 5*z(i). What is j in s(j) = 0?
-1, 2
Let u = -217/51 - -78/17. Factor 0*t + 0 - 4/3*t**4 + 0*t**2 + 4/3*t**3 + u*t**5.
t**3*(t - 2)**2/3
Let j be 8/(-24) + (-34)/(-3). Let s = j - 9. Solve -1/5*o**s - 3/5*o - 2/5 = 0 for o.
-2, -1
Let g(n) be the first derivative of 162*n**5/55 + 180*n**4/11 + 944*n**3/33 + 160*n**2/11 + 32*n/11 - 9. Factor g(a).
2*(a + 2)**2*(9*a + 2)**2/11
Suppose 0 = 4*y - 2*n + 8 - 22, -2 = -y + n. Suppose -4*j + y = -3. Solve 7*a**3 - 2*a**j + a**4 + 4*a**2 - a + 3*a**4 = 0 for a.
-1, 0, 1/4
Let w(o) = -o**3 + 12*o**2 - 10*o - 8. Let i be w(11). Factor -4/3*x**4 + 1/3*x**5 - 4/3*x + 0 + x**i + 4/3*x**2.
x*(x - 2)**2*(x - 1)*(x + 1)/3
Factor 0 + 0*y + y**4 + 1/3*y**2 + y**3 + 1/3*y**5.
y**2*(y + 1)**3/3
Suppose 4*d - 11 - 1 = 3*b, -3*d - 12 = 3*b. Let 5*h**3 + 2*h + 9*h**2 + 5*h**4 + d*h**2 + 7*h**3 = 0. What is h?
-1, -2/5, 0
Let w(l) be the third derivative of -l**9/241920 - l**8/13440 - l**7/1680 - l**6/360 - l**5/6 - 10*l**2. Let f(g) be the third derivative of w(g). Factor f(r).
-(r + 2)**3/4
Let v(t) = -8*t**2 + 9*t - 4. Let w(a) = -7*a**2 + 8*a - 3. Let k(o) = -6*v(o) + 7*w(o). Let k(h) = 0. What is h?
-1, 3
Suppose -26 = -13*y - 0*y. Solve z**y + 3/4*z - 1/4 = 0.
-1, 1/4
Let z = -9/38 - -331/114. Factor -2*b**2 + z + 0*b + 2/3*b**3.
2*(b - 2)**2*(b + 1)/3
Let p be (20/(-35))/((-54)/21). Let f(m) be the first derivative of -1/18*m**4 - 1/3*m**2 - 2 + p*m**3 + 2/9*m. Find s such that f(s) = 0.
1
Let r = 219 - 1525/7. Let 0 + 2*s**5 + r*s**2 + 40/7*s**3 + 0*s + 46/7*s**4 = 0. Calculate s.
-2, -1, -2/7, 0
Let -48/13*v + 22/13*v**2 - 72/13 - 2/13*v**3 = 0. What is v?
-1, 6
Factor -9/4*m**2 - 11/4*m - 1/2.
-(m + 1)*(9*m + 2)/4
Let z(b) be the third derivative of b**8/336 + b**7/105 + b**6/120 - 17*b**2. Determine r so that z(r) = 0.
-1, 0
Let r be (1083/(-2527))/(0 - 3/2). Suppose 0 - r*s**2 + 2/7*s = 0. What is s?
0, 1
Let b(i) be the second derivative of i**7/21 + 4*i**6/15 + 3*i**5/5 + 2*i**4/3 + i**3/3 + 5*i. Factor b(o).
2*o*(o + 1)**4
Factor 4*y**3 - 2 + 6 - 4*y - 35*y**2 + 31*y**2.
4*(y - 1)**2*(y + 1)
Find y, given that -27/2*y**2 - 9/2*y**3 + 0 + 0*y - 3/2*y**5 + 15/2*y**4 = 0.
-1, 0, 3
Suppose 0 = 3*b - k - 7, 0*b + 2*b - 3 = k. Determine d so that -7*d**3 + 6*d**b - 19*d**2 + 21*d**2 - d**4 = 0.
0, 2/5, 1
Suppose 76*i**3 + 2*i**2 - 78*i**3 + 0*i**2 + 4*i = 0. What is i?
-1, 0, 2
Suppose 5*d - 70 = -3*q - q, -64 = -4*q - 2*d. Factor -15*b**2 + q*b**2 + 0*b**3 + 6*b**3 - 3*b**5 - 3*b.
-3*b*(b - 1)**2*(b + 1)**2
Let w be -5*-1*(-8)/(-10). Factor w*q + q - 2*q**2 + 0*q - 3*q.
-2*q*(q - 1)
Suppose b = -3*b + 4. Let g be (-1 + -4)/b*-1. Factor -1/4*o**3 + 1/4*o**2 - 1/4*o**4 + 0 + 0*o + 1/4*o**g.
o**2*(o - 1)**2*(o + 1)/4
Suppose 0 - 2/3*t**2 + 0*t - 8/3*t**3 - 7/2*t**4 - 3/2*t**5 = 0. What is t?
-1, -2/3, 0
Let j be (32/(-3) - -11)*(-12)/(-2). Let 0 + 0*w + 3/2*w**j = 0. What is w?
0
Factor 2/23 + 0*n**3 - 4/23*n**2 + 2/23*n**4 + 0*n.
2*(n - 1)**2*(n + 1)**2/23
Let y(z) = z + 9. Let p be y(-7). Suppose -2*a - p*t = -5*a + 22, -3*t = a + 11. Solve -8/7*o**3 + 78/7*o**2 + 8/7*o - 8/7 - 10*o**a = 0.
-1, -2/5, 2/7, 1
Let g(k) be the second derivative of k**5/210 - k**4/84 + 4*k**2 - 3*k. Let p(x) be the first derivative of g(x). Factor p(o).
2*o*(o - 1)/7
Let v = -26 + 30. Let i(t) be the second derivative of t + 5/6*t**v + 1/5*t**2 + 2/3*t**3 + 0. Factor i(h).
2*(5*h + 1)**2/5
Suppose -7*p = -169 + 155. Factor 0 + 1/3*f**p + 1/3*f.
f*(f + 1)/3
Let c(m) = -7*m**2 - 7*m - 4. Let i(k) = 0 - 3 - 6*k - k**2 - 5*k**2. Let s be (1 - -2) + -1 + -8. Let a(v) = s*i(v) + 5*c(v). Let a(l) = 0. What is l?
-2, 1
Let g(q) be the third derivative of -3*q**5/40 + q**4/8 - 10*q**2. Factor g(u).
-3*u*(3*u - 2)/2
Let k(b) be the second derivative of 2*b**7/35 + 4*b**6/25 + 3*b**5/20 + b**4/20 - 12*b. Factor k(c).
3*c**2*(c + 1)*(2*c + 1)**2/5
Let p(u) be the second derivative of -1/12*u**4 + 0*u**2 + 0 - 2*u + 1/20*u**5 - 1/3*u**3. Suppose p(w) = 0. Calculate w.
-1, 0, 2
Let z(l) be the first derivative of -1/6*l**4 + 0*l + 3 + 0*l**2 + 1/9*l**3. Find t, given that z(t) = 0.
0, 1/2
Let s = 25 + -23. Solve -1/2*q**4 - 1/2*q**3 + 0 + 1/2*q**5 + 1/2*q**s + 0*q = 0 for q.
-1, 0, 1
Let f(v) be the first derivative of -v**7/420 + v**6/216 + v**5/120 - v**4/36 - 8*v**3/3 + 5. Let u(x) be the third derivative of f(x). Factor u(c).
-(c - 1)*(2*c - 1)*(3*c + 2)/3
Let n(q) be the second derivative of -q**6/6 + 3*q**5/2 - 55*q**4/12 + 5*q**3 - 14*q + 1. Factor n(c).
-5*c*(c - 3)*(c - 2)*(c - 1)
Let y be -9 + (6 - -2) + 1. Determine v, given that 2/9*v**2 + y*v + 0 = 0.
0
Let y(l) = -l**2 - 8*l. Let u(b) = b. Let w = -12 - -14. Let i(s) = w*y(s) + 14*u(s). Determine z, given that i(z) = 0.
-1, 0
Suppose -a = -8 - 2. Suppose -w - 4*x - a = 0, -7*w - 5 = -2*w + 5*x. Factor 3*t**3 + 2 - 3*t + 3*t**w + 2 - 3 - 4.
3*(t - 1)*(t + 1)**2
Let x(n) be the first derivative of n**6/4 - 8*n**5/5 + 4*n**4 - 5*n**3 + 13*n**2/4 - n + 3. Factor x(s).
(s - 2)*(s - 1)**3*(3*s - 1)/2
Let v be 90/25 - 14/(-35). Let l(y) = -y - 6. Let g be l(-6). Let 0*d + g*d**2 + 0 + 1/2*d**3 + 1/2*d**5 - d**v = 0. What is d?
0, 1
Let w = 1 + -1. Let g(q) be the first derivative of w*q + 2 + 1/3*q**3 + q**2. Factor g(u).
u*(u + 2)
Let z(l) = l**3 + 2*l**2 - 16*l - 5. Let i be z(-5). Determine u so that i + 2/13*u**3 - 12/13*u**2 + 18/13*u = 0.
0, 3
Factor -8 - 32*f + 49*f**2 - 16*f**3 + 11*f**2 - 4.
-4*(f - 3)*(f - 1)*(4*f + 1)
Let n = -8 - -8. Suppose x - 16 = -5*z, -4*z + 3*x + 1 + 8 = n. Let -2/3*u**2 + 1/3*u**z + 1/3*u + 0 = 0. Calculate u.
0, 1
Let p(z) = -z**2 - 8*z - 5. Let q be p(-7). Determine j, given that -q*j**3 + 2*j**5 + 5*j**4 - 3*j**4 + 0*j**4 - 2*j**2 = 0.
-1, 0, 1
Let m(j) = -j**3 - j**2 - 1. Let w be m(-2). Suppose 0 = 2*g - 6 + 6. Determine v so that -1/4*v**2 - 1/4*v**5 + 0*v + g 