 - 3*u = 0.
-1, 0
Suppose -25 = 5*a - 10*a. Suppose 2 = -f, 9 = a*n - f - 3. Solve -t**3 - 4*t**3 - 2*t - t**3 + 6*t**n + 2*t**4 = 0.
0, 1
Let d = 2 + -2. Let a(g) be the third derivative of 0*g + d*g**5 - 1/60*g**6 + 0 - 1/6*g**3 + 1/12*g**4 + g**2 + 1/210*g**7. Find c such that a(c) = 0.
-1, 1
Factor -1/5*i**2 - 1/5*i**4 + 0*i + 0 - 2/5*i**3.
-i**2*(i + 1)**2/5
Let y(j) = -39*j**3 - 60*j**2 + 165*j - 66. Let n(k) = 11*k**3 + 17*k**2 - 47*k + 19. Let z(d) = -18*n(d) - 5*y(d). Factor z(f).
-3*(f - 1)**2*(f + 4)
Let u(m) be the second derivative of m**6/60 - 3*m**5/200 - m**4/60 + 36*m. Find f, given that u(f) = 0.
-2/5, 0, 1
Let l = 0 + 3. Let f(n) = n**2 + n. Let b(a) = a**3 - 6*a**2 - 1. Let v(m) = l*f(m) + b(m). Factor v(y).
(y - 1)**3
Factor 0*t**2 + 10 - 16*t + 12 + 4*t**2 - 6.
4*(t - 2)**2
Suppose -3*y + 2*g + 10 = 0, -3*y - 5*g - 6 + 2 = 0. Factor -y*c - 4*c**3 + 13*c**5 - 8*c**4 + 2*c - 17*c**5.
-4*c**3*(c + 1)**2
Suppose -j + 4*z + 16 = 0, -5*j - 4*z + 1 + 7 = 0. Let r(b) = -b**3 - 8*b**2 - 6*b + 7. Let l be r(-7). Factor l + 1/3*x**j + 0*x + 2/3*x**3 + 1/3*x**2.
x**2*(x + 1)**2/3
Find y, given that -y**4 - 4*y**2 - 3*y**4 - 4*y**3 - 9*y**3 + 5*y**3 = 0.
-1, 0
Let d = -1265/7 + 181. Suppose d*y + 0 + 2/7*y**2 = 0. What is y?
-1, 0
Let k(f) be the second derivative of -f**5/10 - f**4/9 + f**3/9 + 5*f. Solve k(x) = 0.
-1, 0, 1/3
Let t(p) be the second derivative of -p**7/1260 + p**6/540 + p**5/180 - p**4/36 + p**3/2 - 2*p. Let f(k) be the second derivative of t(k). Factor f(m).
-2*(m - 1)**2*(m + 1)/3
Find y, given that 10/7*y**2 + 4/7*y + 0 - 4/7*y**3 - 10/7*y**4 = 0.
-1, -2/5, 0, 1
Let v(b) = b**3 - 3*b - 2. Let x(c) = -c**3 + 3*c + 1. Let h(q) = -4*v(q) - 3*x(q). Let a(i) be the first derivative of h(i). Factor a(k).
-3*(k - 1)*(k + 1)
Factor 13*x + 0 + 3*x**2 + 3 + x**2 + 0.
(x + 3)*(4*x + 1)
Let m(w) be the third derivative of w**6/720 + w**5/120 - w**3/3 - 3*w**2. Let a(x) be the first derivative of m(x). Factor a(k).
k*(k + 2)/2
Let q(s) = 5*s**2 - 10*s - 19. Let b(r) = 5*r**2 - 10*r - 20. Let c(m) = 4*b(m) - 5*q(m). Let c(y) = 0. What is y?
-1, 3
Let y(u) = 6*u**2 + 5*u - 4 - 4*u**2 + 3*u + 6*u**2. Let o(t) = -t**2 - t + 1. Let a(h) = 4*o(h) + y(h). Let a(q) = 0. What is q?
-1, 0
Find n, given that 156 - 156 - 5*n**2 - 5*n = 0.
-1, 0
Let k(b) be the second derivative of -1/36*b**4 + 1/3*b**2 - 6*b - 1/18*b**3 + 0. Factor k(c).
-(c - 1)*(c + 2)/3
Let m(t) be the third derivative of -t**6/360 - t**5/180 + t**4/72 + t**3/18 + 4*t**2. Factor m(k).
-(k - 1)*(k + 1)**2/3
Let v(a) be the second derivative of -a + 0*a**4 + 0 + 0*a**3 - 3/20*a**5 + 0*a**2. Let v(g) = 0. Calculate g.
0
Let m(d) be the third derivative of 9*d**2 + 1/160*d**5 + 0*d + 1/320*d**6 + 0 - 1/16*d**4 - 1/4*d**3. Factor m(n).
3*(n - 2)*(n + 1)*(n + 2)/8
Let h(t) be the first derivative of t**6/10 + 9*t**5/20 + 3*t**4/4 + t**3/2 - 9*t - 6. Let l(m) be the first derivative of h(m). Factor l(g).
3*g*(g + 1)**3
Let l = 1 + 1. Suppose 5*q = -5*w + 10, -5*w - l*q - 2 + 9 = 0. Factor -5*v**5 + v + 2*v**2 + 0*v**3 - 2*v**3 + 6*v**5 - w - v**4.
(v - 1)**3*(v + 1)**2
What is z in 4/5*z**3 + 0 - 2/5*z**5 + 0*z + 0*z**2 + 2/5*z**4 = 0?
-1, 0, 2
Let s = -3 - -3. Determine p, given that p**3 - 3*p**3 - 2*p**2 + s*p**2 = 0.
-1, 0
Let q(i) = -7*i + 129. Let j be q(18). Suppose z = 6 - 0. Factor z*b**2 - 2*b**j - 8*b + 4 + 1/4*b**4.
(b - 2)**4/4
Let b(r) be the third derivative of r**8/10080 - r**7/2520 + r**5/30 + r**2. Let f(u) be the third derivative of b(u). Factor f(w).
2*w*(w - 1)
Let a = 151 + -147. Let -1/2*s**5 + 27*s**2 + 5*s**a + 0 - 27/2*s - 18*s**3 = 0. What is s?
0, 1, 3
Let u = -59 - -59. Factor -1/5*l**4 + 0 + 1/5*l**3 - 1/5*l**5 + 1/5*l**2 + u*l.
-l**2*(l - 1)*(l + 1)**2/5
Factor -6 + 5*w**2 - 57*w**2 - 22*w**4 - 48*w**3 + 65*w**5 - 28*w - 69*w**5.
-2*(w + 1)**4*(2*w + 3)
Factor 0*z + 0 - 3/2*z**3 + 0*z**2.
-3*z**3/2
Let w(p) = p**3 - 7*p**2 + 7*p - 3. Let y be w(6). Suppose -3 = -y*s + 6. Factor -1/3*q + 1/3*q**2 + 1/3*q**s + 0 - 1/3*q**4.
-q*(q - 1)**2*(q + 1)/3
Let b(k) be the first derivative of 2*k**3/9 - 8*k/3 - 1. What is j in b(j) = 0?
-2, 2
Suppose -11*r = -2 - 31. Factor 1/3*k**2 + 0*k + 0 - 2/3*k**r + 1/3*k**4.
k**2*(k - 1)**2/3
Factor -y**2 - 8*y + 8*y - 4*y**4 - 3*y**2 + 8*y**3.
-4*y**2*(y - 1)**2
Let z(x) be the second derivative of 1/4*x**5 + 0 - 4*x - 2*x**2 - 4/3*x**3 + 7/12*x**4. Solve z(v) = 0 for v.
-2, -2/5, 1
Let a(h) be the second derivative of 7*h**6/15 - 9*h**5/5 + 10*h**4/7 - 8*h**3/21 - 23*h. Factor a(f).
2*f*(f - 2)*(7*f - 2)**2/7
Let t(i) be the second derivative of -i**6/84 + 13*i**5/210 - i**4/21 - 4*i**3/21 + 3*i**2/2 + 3*i. Let m(q) be the first derivative of t(q). Factor m(u).
-2*(u - 2)*(u - 1)*(5*u + 2)/7
Let x(y) be the second derivative of 3*y + 1/36*y**4 + 0*y**2 + 0*y**3 + 0. Factor x(s).
s**2/3
Let z = 13 - 10. Let i(u) be the third derivative of 0 + 0*u**4 + 0*u + z*u**2 - 1/60*u**6 + 1/105*u**7 + 0*u**5 + 0*u**3. Factor i(b).
2*b**3*(b - 1)
Suppose 8*f - 7*f = 3. Solve 2/5*q**2 + 0*q**f - 2/5*q**4 + 0 + 0*q = 0 for q.
-1, 0, 1
Let a(i) be the third derivative of -i**8/672 - i**7/210 + i**5/60 + i**4/48 + 8*i**2. Determine k so that a(k) = 0.
-1, 0, 1
Let b be 2/(-3)*3*-1. Determine l, given that 3*l**4 - 3*l**2 + b*l**2 - l + l**3 - 2*l**2 + 0*l**3 = 0.
-1, -1/3, 0, 1
Suppose 2*a + 4*d + 8 = -2, -a + 5*d = -16. Solve 3 - 1 - 2*k - a + k**2 = 0 for k.
1
Factor -3/2*f + 5/4*f**3 - 13/4*f**2 + 0.
f*(f - 3)*(5*f + 2)/4
Let t(s) be the third derivative of -s**5/120 - s**4/12 - s**3/3 - 10*s**2. What is n in t(n) = 0?
-2
Let m = -61 + 187/3. Let -10/3*f**3 - m*f**4 + 0 + 10/3*f**5 + 0*f + 4/3*f**2 = 0. Calculate f.
-1, 0, 2/5, 1
Let c(s) be the second derivative of -5*s**7/126 - 5*s**6/18 - 2*s**5/3 - 5*s**4/9 + 2*s. Determine n, given that c(n) = 0.
-2, -1, 0
Suppose 2*u = 5*u + 18. Let l = 12 + u. Let l*d - 16*d**4 - 1 + 2*d**2 + 18*d**4 - 3 - 6*d**3 = 0. What is d?
-1, 1, 2
Suppose -15*k - 4 = -17*k. Solve 1/3*t**4 + t**3 + t**k + 1/3*t + 0 = 0.
-1, 0
Let p = -3 + 3. Let b(y) be the first derivative of y - 1 - 1/3*y**3 + p*y**2. Factor b(j).
-(j - 1)*(j + 1)
Suppose -5*n - 4 = -3*b, -5*b + 0*b = n + 12. Let r be 14/24 + b/6. Factor 0*m - r*m**2 + 1/4.
-(m - 1)*(m + 1)/4
Solve -6*r + 6*r**2 + 3/2*r**3 + 0 - 3/2*r**4 = 0 for r.
-2, 0, 1, 2
Let w(a) be the second derivative of 0 - 1/30*a**4 + 1/15*a**3 + 2/5*a**2 - 2*a. Let w(v) = 0. What is v?
-1, 2
Let k(l) be the second derivative of 9/20*l**5 + 0*l**2 + 6*l + 1/2*l**3 + 3/4*l**4 + 1/10*l**6 + 0. Factor k(u).
3*u*(u + 1)**3
Let -10/21 - 4/21*x**2 - 22/21*x = 0. What is x?
-5, -1/2
Suppose -4*v = 3*k + 42, k = 5*v + 4*k + 51. Let l(q) = q**2 + 2. Let t(a) = 5*a**2 + 9. Let b(o) = v*l(o) + 2*t(o). Factor b(d).
d**2
Suppose -6*f = -4*f. Let t(v) be the second derivative of f - 5*v - 1/60*v**4 - 1/10*v**2 + 1/15*v**3. Suppose t(x) = 0. What is x?
1
Let s(k) be the second derivative of k**5/25 - 2*k**3/5 + 4*k**2/5 - 5*k. Factor s(m).
4*(m - 1)**2*(m + 2)/5
Let g = -25 + 17. Let p(m) = -m**2 - 7*m + 10. Let b be p(g). Factor -b*f - 2/3*f**3 + 2*f**2 + 2/3.
-2*(f - 1)**3/3
Let 0 + 9/5*k**2 - 6/5*k = 0. What is k?
0, 2/3
Let o = -7720/13 - -594. Factor 8/13 + o*d**3 + 4/13*d**2 - 14/13*d.
2*(d - 1)**2*(d + 4)/13
Let c(r) be the first derivative of r**8/9240 - r**7/4620 - r**6/990 - r**3 - 5. Let s(d) be the third derivative of c(d). Factor s(i).
2*i**2*(i - 2)*(i + 1)/11
Let h(i) = i**3 - 14*i**2 - 14*i - 15. Let v be h(15). Determine t so that -2/7*t**5 + v + 6/7*t**3 + 0*t + 4/7*t**2 + 0*t**4 = 0.
-1, 0, 2
Let f(k) be the first derivative of 2*k**5/25 + k**4/5 - 2*k**3/15 - 2*k**2/5 + 7. Let f(v) = 0. What is v?
-2, -1, 0, 1
Suppose -3*n + 5*n + 4 = 0, -2*j + 2 = -n. Factor 1/2*g + j - g**2 + 1/2*g**3.
g*(g - 1)**2/2
Find j such that 1/4*j**3 + 0 - 1/4*j**2 - 1/2*j = 0.
-1, 0, 2
Let h(y) be the third derivative of -y**5/90 + y**4/12 - 2*y**3/9 + 65*y**2. Factor h(n).
-2*(n - 2)*(n - 1)/3
Let a(z) be the first derivative of -z**8/672 + z**7/420 + z**6/240 - z**5/120 + z**2 - 1. Let f(c) be the second derivative of a(c). Let f(p) = 0. Calculate p.
-1, 0, 1
Let x be 105/7*(-2)/3. Let r(v) = v + 13. Let f be r(x). Factor w**2 + 2*w**4 + w**3 - 3*w**2 + f*w**3 - 2*w**3 - 2*w**5.
-