ative of v(f). Factor b(i).
-i*(i - 1)*(i + 1)**2/4
Let j(x) = 2*x**3 + 1. Let g be j(1). Factor 2/5*v**g + 0 - 2/5*v + 0*v**2.
2*v*(v - 1)*(v + 1)/5
Factor -7*g**3 - 14*g**3 - 959 - 27*g**2 + 36*g + 971.
-3*(g - 1)*(g + 2)*(7*g + 2)
Suppose -15*p - 4 - 10 + 4 + 10*p**2 = 0. What is p?
-1/2, 2
Let v = 7 + -26. Let o = -16 - v. Find a, given that -1/2*a**4 + 0*a**2 + 1/2*a**5 + 0 + 0*a - a**o = 0.
-1, 0, 2
Let b be (-1 - 0)/(-5 - -6) + 4. Let u(i) be the second derivative of -1/60*i**5 + 0 - 1/18*i**4 + 2*i + 0*i**b + 0*i**2. Find q, given that u(q) = 0.
-2, 0
Let n(d) = -d**2 - 3*d - 5. Let v(i) = -i**2 - 3*i - 6. Let h(o) = -4*n(o) + 3*v(o). Determine r so that h(r) = 0.
-2, -1
Let i(n) be the third derivative of -n**4/12 - n**3/2 + 2*n**2. Let s be i(-3). Determine x so that -3 - 1 - 10*x + 2*x**2 - 2*x**s - 10*x**2 = 0.
-2, -1
Let x = -829/104 + 65/8. Factor 6/13*c**3 + 0 + 4/13*c**2 - x*c.
2*c*(c + 1)*(3*c - 1)/13
Let r(b) be the third derivative of b**6/120 - b**5/60 - b**4/24 + b**3/6 - 4*b**2. Factor r(h).
(h - 1)**2*(h + 1)
Let v(k) be the first derivative of -k**7/28 - k**6/20 + 3*k**5/40 + k**4/8 + 5*k + 6. Let b(a) be the first derivative of v(a). Factor b(d).
-3*d**2*(d - 1)*(d + 1)**2/2
Let n(z) be the third derivative of -z**5/120 + z**4/48 + 9*z**2. Solve n(y) = 0.
0, 1
Factor 24*u**2 + 1 + 20*u**2 + 3 - 34*u + 28*u**2.
2*(4*u - 1)*(9*u - 2)
Let h be (4/20)/((-3)/(-12)). Solve 2/5*u**2 - 6/5 - h*u = 0.
-1, 3
Suppose 0 = -2*y + 6*y. Suppose 5*j - 3 = 4*j. Factor -6*d**j + 3*d**2 + 6*d**4 + y*d**3 - d**2 - 2*d**5.
-2*d**2*(d - 1)**3
Let p(l) = -l**2 - l + 6. Let f be p(0). Suppose -4*j + f = -j. Factor 0*d**2 - d**2 - d**j + 0*d**2.
-2*d**2
Let h(m) = -2*m**3 - 5*m**2 - 5*m - 2. Let v be h(-2). Let b be (-33)/(-15) + v/(-20). Determine o, given that 0*o + 4/3*o**b - 2*o**4 + 2/3*o**3 + 0 = 0.
-2/3, 0, 1
Let i(m) be the first derivative of -2 - 4*m**2 + 4*m**2 - 23*m**4 + 24*m**4. Factor i(j).
4*j**3
Suppose 0 = -7*j + 12*j - 10. Let t = -503/5 - -101. What is g in -t*g**j - 4/5 - 6/5*g = 0?
-2, -1
Let k(t) be the third derivative of -t**5/140 + t**4/14 + 6*t**3/7 + 32*t**2. Factor k(h).
-3*(h - 6)*(h + 2)/7
Let b(l) be the first derivative of -l**8/560 + l**7/140 + l**6/120 - l**5/20 - l**3/3 + 1. Let a(r) be the third derivative of b(r). Factor a(z).
-3*z*(z - 2)*(z - 1)*(z + 1)
Let q(i) = 9*i**4 - 11*i**3 + 7*i**2 - 7*i + 7. Let c(u) = -8*u**4 + 10*u**3 - 6*u**2 + 6*u - 6. Let f(s) = -7*c(s) - 6*q(s). Solve f(b) = 0 for b.
0, 2
Let i be (-32)/(-10) - 5/25. Let t = -1 + i. Solve -3*m + 1 + 3*m - m**t = 0 for m.
-1, 1
Find q, given that -3*q**4 - 18 - 100*q**2 - 10*q**3 + 34 + 27*q**4 + 40*q = 0.
-2, -1/4, 2/3, 2
Let n(v) be the second derivative of 5*v**4/3 - 34*v**3/3 - 12*v + 2. Factor n(m).
4*m*(5*m - 17)
Let n be 3 + -2 - (-62)/(-4). Let h = -14 - n. Suppose 0*b**2 + 0 + 0*b - h*b**4 + 0*b**3 = 0. Calculate b.
0
Let j be 12*((-15)/(-9))/5. Let k be 12/(-2) + j - -4. Determine q so that 1/4 - 2*q + 4*q**k = 0.
1/4
Let -2/3*t**4 + 6*t - 10*t**2 + 0 + 14/3*t**3 = 0. What is t?
0, 1, 3
Let b(y) be the first derivative of -9/10*y**2 + 3/20*y**4 - 6/5*y - 5 + 0*y**3. Solve b(g) = 0.
-1, 2
Determine t, given that -5/3*t**4 - 2/3*t**2 + 0*t + 0 + 7/3*t**3 = 0.
0, 2/5, 1
Let o be (6/2)/(4/((-40)/(-75))). Let f(k) be the second derivative of -2*k + 4/15*k**3 + 0 - o*k**2 + 1/12*k**4. Suppose f(n) = 0. Calculate n.
-2, 2/5
Let q(y) be the second derivative of -y**7/189 + y**6/27 - y**5/10 + 7*y**4/54 - 2*y**3/27 - y. Factor q(x).
-2*x*(x - 2)*(x - 1)**3/9
Solve 2/9*d**4 + 0*d + 2/9*d**3 + 0 + 0*d**2 = 0.
-1, 0
Factor -8/9*v - 14*v**3 + 0 + 49/9*v**4 + 20/3*v**2.
v*(v - 2)*(7*v - 2)**2/9
Determine s so that 10/7*s + 2/7*s**2 + 8/7 = 0.
-4, -1
Let 12/5 + 2/5*m**2 + 2*m = 0. Calculate m.
-3, -2
Let o(i) = i**4 - 5*i**3 - 6*i**2 + 4*i - 4. Let t(x) = -x**4 + 4*x**3 + 5*x**2 - 3*x + 3. Suppose 3*c + 15 - 3 = 0. Let z(f) = c*t(f) - 3*o(f). Factor z(l).
l**2*(l - 2)*(l + 1)
Let g = -354 - -1417/4. Solve -g*m**4 + 1/4*m**2 + 0 + 1/2*m**3 - 1/2*m = 0 for m.
-1, 0, 1, 2
Let r(z) be the first derivative of z**5/15 + z**4/3 + z**3/3 - 2*z**2/3 - 4*z/3 - 5. Determine g so that r(g) = 0.
-2, -1, 1
Let b(n) be the third derivative of n**5/30 + n**4/12 - n**3/3 + 3*n**2. Let a(w) = 2*w**2 + 3*w - 2. Let d(j) = 2*a(j) - 3*b(j). Find t, given that d(t) = 0.
-1, 1
Let c be ((-8)/(-6))/((-13)/(78/(-20))). Factor 0 + 2/5*f**4 + 2/5*f**3 - 2/5*f**2 - c*f.
2*f*(f - 1)*(f + 1)**2/5
Factor -7*g**3 - 3*g + 93 - 15*g**2 - 87 + g**3.
-3*(g + 1)*(g + 2)*(2*g - 1)
Solve 0*g - 4/3*g**2 - 2/3*g**4 + 0 + 2*g**3 = 0.
0, 1, 2
Suppose 0 = -28*d + 30*d - 6. Let l be 20/9 - (-10)/(-45). Suppose 6/7*f**4 + 0*f**l + 8/7*f**5 + 0 + 0*f - 2/7*f**d = 0. What is f?
-1, 0, 1/4
Let h(m) be the second derivative of m**5/10 - 5*m**4/24 - m**3/6 + 3*m**2/4 + 31*m. Find g such that h(g) = 0.
-3/4, 1
Let d = 4 - 1. Let j(s) be the third derivative of 0*s + 0*s**d + s**2 + 1/630*s**7 + 0*s**5 + 0*s**4 - 1/360*s**6 + 0. Factor j(n).
n**3*(n - 1)/3
Let s(a) = 11*a**4 - 9*a**3 - 15*a**2 - 4*a - 9. Let t(n) = -n**4 + n**3 + n**2 + 1. Let f(h) = -2*s(h) - 18*t(h). Let f(z) = 0. What is z?
-1, 0, 2
Let j(k) = k**3 - 4*k**2 - 2*k. Let b(h) = -h**3 + 8*h**2 + 4*h. Let m(c) = 3*b(c) + 5*j(c). Factor m(z).
2*z*(z + 1)**2
Let n(j) be the first derivative of -j**6/15 + 4*j**5/25 - 4*j**3/15 + j**2/5 - 11. Factor n(h).
-2*h*(h - 1)**3*(h + 1)/5
Let y = 70 + -66. Factor 13/2*f**3 + 27/4*f**2 - 1 + f + 7/4*f**y.
(f + 1)**2*(f + 2)*(7*f - 2)/4
Factor 414*f**3 - 7*f**2 + 32 + f**2 - 415*f**3.
-(f - 2)*(f + 4)**2
Let m(a) be the third derivative of a**8/33600 - a**7/3150 + a**6/900 + a**4/12 - a**2. Let h(p) be the second derivative of m(p). Factor h(r).
r*(r - 2)**2/5
Suppose p = 3*p - 24. Suppose -k + 4*z + p = 0, 2*k = -3*z - 0 + 2. Solve 0*b**3 + 2*b**4 - 3*b**3 - 3*b**4 + k*b = 0.
-2, 0, 1
Let u(b) = b**2 + 3*b + 1. Let k be u(-4). Suppose k*n + 3 - 13 = 0. Let -4*a**n + 3/2*a**3 + 7/2*a - 1 = 0. What is a?
2/3, 1
Let n(o) be the first derivative of o**3/24 + 32. Solve n(r) = 0 for r.
0
Let o(n) be the first derivative of 20*n**3/3 - 5*n**2 + 6*n + 2. Let w(i) = i**2 - i. Let u(f) = -2*o(f) + 36*w(f). Factor u(k).
-4*(k + 1)*(k + 3)
Let o = 1/327 - -323/1308. Factor 3/4*h - o*h**2 - 1/2.
-(h - 2)*(h - 1)/4
Let z(c) be the first derivative of -4*c**3/3 + 22*c**2 - 40*c - 13. Factor z(a).
-4*(a - 10)*(a - 1)
Suppose -4*d - 2*g = -8, -2*d + 4 = 2*g + 2*g. Find v, given that 1/5*v**d + 2/5 - 3/5*v = 0.
1, 2
Suppose 6*q - 8 + 2 = 0. Let i be (-3)/(-4) + q/(-12). Determine b, given that -2/9*b**3 + i*b**2 - 2/3*b + 2/9 = 0.
1
Let b(p) = -p**2 - p. Let g(t) = -3*t**2 - 3*t + 2. Let s be (9/(-4))/(12/32). Let n(k) = s*b(k) + 3*g(k). Factor n(q).
-3*(q - 1)*(q + 2)
Let v(w) = w**2 - 7*w + 6. Let r be v(6). Suppose -n = 2*h - 2, r = 2*h - 0*h. Find j, given that 2*j - 2*j**n + j**2 + 3*j**2 = 0.
-1, 0
Factor -c**3 - 3*c**3 - 2 - 2*c**4 + 4*c**2 + 4*c**3.
-2*(c - 1)**2*(c + 1)**2
Let h(l) be the second derivative of -l**4/42 - l**3/7 - 2*l**2/7 + 2*l. Suppose h(y) = 0. What is y?
-2, -1
Let m(h) be the first derivative of h**6/24 - h**5/5 + 3*h**4/16 + h**3/3 - h**2/2 + 8. Factor m(x).
x*(x - 2)**2*(x - 1)*(x + 1)/4
Let y = 4 + -6. Let a be y + (-1 - -9) + -2. Factor l + 2*l**2 - 4*l**4 - l**5 + 0*l + 2*l**a.
-l*(l - 1)*(l + 1)**3
Let -57*u**3 + 18*u**2 - 2*u**4 + 69*u**3 + 4*u**4 = 0. Calculate u.
-3, 0
Find s such that -38*s**4 - 10*s - 20*s**5 + 24*s**2 - 24*s**4 - 89*s**2 - 120*s**3 - 23*s**4 = 0.
-2, -1, -1/4, 0
Suppose 5*r - 20 = 3*x + 2*x, -2*r + 14 = -4*x. Let n be r/3 - 10/(-6). Factor -3*j + j + j**2 + 3*j**2 - n*j**3.
-2*j*(j - 1)**2
Suppose -71*t + 40 = -61*t. Factor -24/11*n**3 + 4/11*n + 0 - 6/11*n**2 - 14/11*n**t.
-2*n*(n + 1)**2*(7*n - 2)/11
Let v be (-2)/(-4)*(-3 + 57). Suppose 3*k + v = 5*j, 4*j = 5*k - 2*k + 21. Factor -2 + 6*q + 4*q**3 - 2*q**3 - 4*q**2 + 6*q**4 - j*q**3 - 2*q**5.
-2*(q - 1)**4*(q + 1)
Let o(h) = -7*h**3 + 8*h**2 + 14*h + 3. Let c(l) = -l**3 + l - 1. Let r(s) = -6*c(s) + o(s). Let y be r(9). Solve 0*q**2 - 1/2*q**4 + y + 0*q - 1/2*q**3 = 0.
-1, 0
Suppose 10 = -8*b + 10*b. Let x(y) be the third derivative of 0 + 0*y - 1/210*y**b + 1/21*y**3 + 0*y**4 + 2*y**2. Find c such