2*b**6/3 - 58*b**5/15 - 76*b**4/9 - 16*b**3/3 - 2*b + 30. Suppose d(q) = 0. What is q?
-3/2, -2/3, 0, 2
Suppose 1 = -o + 5. Suppose 0 = 3*w + 2 + o, 3*z - 20 = w. Determine f, given that 3*f**5 - 2*f**3 + f**2 - 2*f**3 - 7*f**2 + z*f**4 + f**3 = 0.
-2, -1, 0, 1
Suppose -49*n**2 + 12*n**3 + 144*n**2 + 40*n - 20 + 7*n**3 + 16*n**3 = 0. Calculate n.
-2, -1, 2/7
Let j(l) be the first derivative of -26/5*l**5 - 3 - 5/3*l**6 + 0*l - 9/2*l**4 + 2/3*l**3 + 2*l**2. Suppose j(y) = 0. Calculate y.
-1, 0, 2/5
Let n(c) be the second derivative of c**6/10 - 3*c**5/10 - 3*c**4/4 + 17*c. Find o such that n(o) = 0.
-1, 0, 3
Let n = 1 - -1. Solve 128*c**4 + 18*c**2 - 44*c**n + 14*c - 40*c**2 - 6*c**2 - 224*c**3 + 4 = 0.
-1/4, 1/4, 2
Let k(p) be the second derivative of p**7/168 - p**6/120 - p**5/40 - 7*p. Factor k(b).
b**3*(b - 2)*(b + 1)/4
Let g(v) be the third derivative of 0 + 1/12*v**4 + 0*v**3 + 11*v**2 - 1/15*v**5 - 1/20*v**6 + 0*v. Factor g(m).
-2*m*(m + 1)*(3*m - 1)
Factor 8*j**4 + 10*j**4 + 0*j**4 - 13*j**4.
5*j**4
Suppose -6*m = -m - 25. Suppose 0*t = 2*t + m*p - 33, -3*p + 15 = 0. What is d in -2/7*d**t + 0*d**2 + 2/7*d**3 + 0*d + 0 = 0?
0, 1
Let x be 6/28*777/222. Factor 0 + x*y**3 - 9/2*y**2 + 3/4*y + 12*y**5 + 18*y**4.
3*y*(y + 1)**2*(4*y - 1)**2/4
Let w(t) be the second derivative of -1/90*t**5 + 0 - t - 1/9*t**3 + 1/18*t**4 + 1/9*t**2. Factor w(o).
-2*(o - 1)**3/9
Let f(p) be the first derivative of -1/2*p**6 + 3/2*p**2 + 0*p - 2*p**3 + 6 + 6/5*p**5 + 0*p**4. Solve f(x) = 0.
-1, 0, 1
Let t(x) be the second derivative of x**5/50 + x**4/30 - x**3/15 - x**2/5 + x. Factor t(r).
2*(r - 1)*(r + 1)**2/5
Let p(w) = 19*w**3 - 55*w**2 + 10*w + 8. Let q(r) = 13*r**3 - 37*r**2 + 7*r + 5. Let u(j) = 5*p(j) - 8*q(j). Factor u(v).
-3*v*(v - 2)*(3*v - 1)
Suppose r + q - 3 = 0, -4*r - 12 = -3*r - 4*q. Factor 0*y**2 + r - 1/2*y**4 - 1/4*y**3 - 1/4*y**5 + 0*y.
-y**3*(y + 1)**2/4
Let j(b) be the second derivative of -b**6/36 + b**5/24 + 5*b**4/72 - 5*b**3/36 - 15*b. Find f such that j(f) = 0.
-1, 0, 1
Let i(y) = -2*y - 12. Let x be i(-8). Let z(s) be the first derivative of 0*s - 1/18*s**6 + 0*s**3 + 0*s**2 + 1/15*s**5 - 2 + 0*s**x. Factor z(r).
-r**4*(r - 1)/3
Let s = 50 - 48. Let d(m) be the first derivative of 0*m + 0*m**3 + s + 0*m**2 + 1/8*m**4 + 1/12*m**6 + 1/5*m**5. Factor d(n).
n**3*(n + 1)**2/2
Suppose -2*n + 0 = 3*q - 3, -4*q + 4 = 4*n. Suppose 5 = -f - 4*y - q, 5*y + 18 = 4*f. Find x such that x**2 + 0*x + 2 + 5*x**f - 2*x**3 - 6*x = 0.
1
Let i(q) = -q**2 + 1. Let d be (-10)/(-6) - (-2)/6. Let n(g) = g - 2*g**d + 9*g**2 - 6 - 2*g**2. Let c(b) = -6*i(b) - n(b). Factor c(h).
h*(h - 1)
Let b(m) be the second derivative of -m**6/15 + m**5/15 + m**4/18 - 6*m. Suppose b(x) = 0. What is x?
-1/3, 0, 1
Let d(l) = 3*l + 2. Let v(z) = -5*z - 3. Let j(p) = 8*d(p) + 5*v(p). Let b be j(-2). Let k + 1 - k**2 + b - 2 = 0. What is k?
-1, 2
Let b(n) = n**2 + 14*n - 2. Let v(x) = -3*x**2 - 29*x + 3. Let r(f) = -7*b(f) - 3*v(f). Suppose r(c) = 0. Calculate c.
1/2, 5
Let g(u) = -u**2 + 2*u + 7. Let q(n) be the second derivative of -n**4/12 + n**3/3 + 3*n**2 + 5*n. Let m(r) = 6*g(r) - 7*q(r). Factor m(b).
b*(b - 2)
Factor -11/2*j**2 - j + 0.
-j*(11*j + 2)/2
Let h(f) be the third derivative of -f**5/120 - f**4/48 + 22*f**2. Factor h(x).
-x*(x + 1)/2
Let f(l) be the second derivative of l**7/21 - l**5/5 + l**3/3 + 6*l. Determine y so that f(y) = 0.
-1, 0, 1
Let 0 + 0*p**3 + 0*p + 0*p**4 - 1/2*p**5 + 0*p**2 = 0. Calculate p.
0
Let s(p) be the third derivative of -7*p**5/60 - p**4/12 - 11*p**2. Let s(m) = 0. Calculate m.
-2/7, 0
Suppose 0*j + 16 = j - 3*g, 0 = -4*g. Let k = j + -14. Determine a, given that -8*a - 12*a**k + 16/3 - 10/3*a**3 = 0.
-2, 2/5
Let k be 4 + 3 + 1 + -3. What is q in 4 + 2*q**5 + 6*q - 9*q**2 + k*q**2 - 7*q**3 - q**3 = 0?
-1, 1, 2
Let z = -3 + -1. Let w be 3/((-6)/7) - z. Let w*s + 0 - 1/4*s**2 = 0. What is s?
0, 2
Let z be (-2)/(-7) + 198/42. Suppose 6*q**4 - 4*q**z - 4*q**3 - 3*q**4 - q**5 + 6*q**3 = 0. What is q?
-2/5, 0, 1
Let n(y) be the third derivative of y**5/210 - y**4/42 + 6*y**2. Solve n(s) = 0.
0, 2
Suppose 0 = 3*w + w - 16. Let -d**2 - 2*d**w + 2 - 3*d**2 + 4*d**4 = 0. What is d?
-1, 1
Let s = -13 - -20. Let z = 9 - s. Solve -3/2*l - 1/2*l**3 + 3/2*l**z + 1/2 = 0.
1
Suppose -v**2 + 35 + 19*v - 53 - v**2 - 7*v = 0. Calculate v.
3
Let 0*r - 8/11 + 2/11*r**2 = 0. What is r?
-2, 2
Let k(n) be the third derivative of n**8/1680 - n**7/315 - n**6/180 + n**5/15 - 5*n**4/12 - 10*n**2. Let u(l) be the second derivative of k(l). Factor u(z).
4*(z - 2)*(z - 1)*(z + 1)
Suppose -y**4 - 1/3*y**2 + 0 - y**3 + 0*y - 1/3*y**5 = 0. Calculate y.
-1, 0
Let q(z) = -z**3 - 1. Let a(i) = i**2 - 8*i + 9. Let n be a(7). Let h(m) = -m**2 - 8*m**3 - 10 + 0*m**2 - 3*m**2 + n*m. Let v(d) = -h(d) + 10*q(d). Factor v(k).
-2*k*(k - 1)**2
Let o be ((-87)/9)/(22/6) + 3. Determine k, given that -2/11 - 2/11*k**2 + o*k = 0.
1
Let a = -1 - -1. Let i be 2/2*(-4 + 4/1). Suppose i*w**2 - 1/3*w**5 + 0*w**3 + a - 1/3*w**4 + 0*w = 0. What is w?
-1, 0
Let k be 0 - 0 - (6 - 1771/294). Let p(r) be the second derivative of -2/21*r**3 + 0 - 1/7*r**2 - r - k*r**4. Factor p(c).
-2*(c + 1)**2/7
Let y(i) be the first derivative of 3 + 0*i**3 - 1/2*i**4 - 4*i + 3*i**2. Factor y(u).
-2*(u - 1)**2*(u + 2)
Factor -89*d + 89*d - 10*d**2 + 0*d**3 + 2*d**3.
2*d**2*(d - 5)
Let j(r) = -5*r**5 - 5*r**4 - r**3 - 7*r**2 - 6. Let q(l) = 14*l**5 + 14*l**4 + 3*l**3 + 20*l**2 + 17. Let k(u) = 17*j(u) + 6*q(u). Factor k(c).
-c**2*(c - 1)*(c + 1)**2
Suppose 0 = -k - 4 - 0. Let f = -1 - k. Factor 6/7*u**2 + 6/7*u**4 + 2*u**f - 4/7 - 6/7*u.
2*(u + 1)**3*(3*u - 2)/7
Let u(t) = -26*t**3 + 60*t**2 - 48*t - 14. Let q(i) = -9*i**3 + 20*i**2 - 16*i - 5. Let f(h) = 14*q(h) - 5*u(h). Factor f(r).
4*r*(r - 4)*(r - 1)
Let u = 11 + -9. Determine r, given that 3*r + 1 - 5*r + 0*r + 2*r**3 - r**u = 0.
-1, 1/2, 1
Suppose 3*n - 13 = -1. Find p such that -p + n*p + 6*p**2 - 5*p = 0.
0, 1/3
Determine n, given that 80*n**2 - 35*n**3 - 3*n - 52*n - 3 + 13 = 0.
2/7, 1
Let w(l) be the first derivative of l**8/10080 - l**7/2520 + l**6/2160 + l**3 - 4. Let a(u) be the third derivative of w(u). Factor a(t).
t**2*(t - 1)**2/6
Let b(r) be the second derivative of 2*r - 2/45*r**5 - 4/27*r**3 + 1/9*r**4 + 1/135*r**6 + 0 + 1/9*r**2. Find u such that b(u) = 0.
1
Let p(z) be the second derivative of 1/12*z**4 + 3/20*z**5 + 0 + 4*z + 0*z**3 + 0*z**2 + 1/42*z**7 + 1/10*z**6. Solve p(a) = 0.
-1, 0
Let z(t) be the third derivative of -t**9/1008 + t**7/140 - t**5/40 - 2*t**3/3 - 5*t**2. Let p(k) be the first derivative of z(k). Factor p(h).
-3*h*(h - 1)**2*(h + 1)**2
Let n(c) be the second derivative of -c**4/18 + c**3 + 10*c**2/3 + 8*c. Determine r, given that n(r) = 0.
-1, 10
Let z be -3 - ((-51)/9)/1. Let x be 41/12*1 + (-6)/8. Let -2/3*m**2 + x*m - z = 0. What is m?
2
Let t(q) be the first derivative of -q**5/120 - q**4/24 - q**3/12 - q**2 + 3. Let w(j) be the second derivative of t(j). Factor w(v).
-(v + 1)**2/2
Let j(y) = -2*y**2 - 2*y - 6. Let q(f) = 5*f**2 + 5*f + 18. Let p(c) = -8*j(c) - 3*q(c). Factor p(d).
(d - 2)*(d + 3)
Let x be 2/5 + (-26)/(-10). Factor p**3 + 10*p**2 + 15*p - 19*p + 0*p**x + 5*p**3.
2*p*(p + 2)*(3*p - 1)
Let z(u) = 3*u + 2. Let m be z(-2). Let i be (-3)/(-9)*0 - m. Find l, given that -l**3 + l**5 + l**i + l**2 + 2*l**4 - 4*l**4 = 0.
-1, 0, 1
Let m(k) be the first derivative of -k**4/36 - k**3/9 - k**2/6 + 9*k - 3. Let a(c) be the first derivative of m(c). Suppose a(x) = 0. Calculate x.
-1
Let n(m) be the second derivative of m**3/6 + m**2 + m. Let w be n(3). Determine s, given that w*s**5 + 7*s**2 + 3*s**4 - 3*s**3 - 2*s - 3*s**4 - 7*s**4 = 0.
-1, 0, 2/5, 1
Let t be (6/25)/(10*2/50). Suppose 1/5*l**2 - t + 2/5*l = 0. Calculate l.
-3, 1
Let n(k) be the second derivative of -k**6/120 - k**5/20 - k**4/8 - 5*k**3/6 + 3*k. Let q(c) be the second derivative of n(c). Determine j, given that q(j) = 0.
-1
Let x(o) be the second derivative of o**5/100 + o**4/40 - o**3/5 - o**2 - 3*o. Let v(b) be the first derivative of x(b). Determine t, given that v(t) = 0.
-2, 1
Factor 5*k**4 - 2*k**3 - 37 + 3*k**5 + 37 + 4*k**5.
k**3*(k + 1)*(7*k - 2)
Let n(l) = 8*l**4 - 28*l**3 + 28*l + 40. Let a(o) = -o**4 + o**3 - o**2 - o - 2. Let p(t