d - 1)**2/2
Let n = 125/3 + -41. Let p(c) = -c**2 - 11*c + 2. Let b be p(-11). Factor 0*q + 0*q**3 + 0*q**b + 0 + 0*q**4 + n*q**5.
2*q**5/3
Let r = 172 + -172. Factor 0 - 2/11*z**2 + r*z - 2/11*z**3.
-2*z**2*(z + 1)/11
Let z be 2/6 + (-2)/6. Let i**2 + 2*i - 3*i**2 + z*i**2 = 0. Calculate i.
0, 1
Let l be 77/84 - 4/6. Suppose -2*a = 4*k - 6, 0*a - 5*a = 25. Determine g, given that 3/4*g**2 + 1/2*g**5 - 1/4*g - l*g**3 + 0 - 3/4*g**k = 0.
-1, 0, 1/2, 1
Let t(i) = i**2 - i - 1. Let b(u) = -3*u**5 - 33*u**4 - 102*u**3 - 39*u**2 + 102*u + 72. Let s(q) = -b(q) + 3*t(q). Find v, given that s(v) = 0.
-5, -1, 1
Let w(f) be the second derivative of -2*f**2 + 0 - 7/5*f**5 - 2/15*f**6 + 1/3*f**7 + 2/3*f**4 + 2*f + 7/3*f**3. Solve w(r) = 0 for r.
-1, 2/7, 1
Let y(l) be the second derivative of 8*l**6/75 - 14*l**5/25 + 5*l**4/12 - l**3/10 + l + 6. Solve y(b) = 0 for b.
0, 1/4, 3
Suppose -5*n + 17 = -13. Suppose b + 10 = n*b. Factor -1 - b - 2*f + 2*f**2 - 1.
2*(f - 2)*(f + 1)
Factor 2/5*f**3 + 0*f**2 - 6/5*f + 4/5.
2*(f - 1)**2*(f + 2)/5
Let o(x) be the first derivative of x**8/1344 + x**7/840 + 7*x**2/2 - 5. Let b(p) be the second derivative of o(p). Solve b(f) = 0 for f.
-1, 0
Let k(m) be the first derivative of 4/9*m**3 - 2/15*m**5 + 0*m**4 - 2/3*m - 2 + 0*m**2. Determine s so that k(s) = 0.
-1, 1
Let g(a) be the second derivative of -a**6/240 - a**5/40 - a**4/16 - a**3/12 + 3*a**2/2 - 3*a. Let p(h) be the first derivative of g(h). Factor p(c).
-(c + 1)**3/2
Factor 3/2*m**3 - 6*m + 3*m**2 - 12.
3*(m - 2)*(m + 2)**2/2
Factor -22*d**2 + 13*d + 0*d + 15*d + 8 + 12*d**3 + 54*d**2.
4*(d + 1)**2*(3*d + 2)
Let z(k) = -5*k**3 + k**2. Let o(j) = -j**4 - j**2. Let a(v) = -12*o(v) - 4*z(v). Factor a(n).
4*n**2*(n + 1)*(3*n + 2)
Let y(w) = -3*w**2 + 39*w - 57. Let j(m) = m**2 - 10*m + 14. Let c(v) = 9*j(v) + 2*y(v). Find a, given that c(a) = 0.
2
Let u = 54 + -48. Let a(i) be the second derivative of -1/56*i**7 - 3/20*i**5 - 1/12*i**u - 1/8*i**4 - 5*i + 0 + 0*i**2 - 1/24*i**3. Factor a(z).
-z*(z + 1)**3*(3*z + 1)/4
Factor -1/5 + 2/5*l + 1/5*l**4 + 0*l**2 - 2/5*l**3.
(l - 1)**3*(l + 1)/5
Suppose 0*q - 35/2*q**5 + 45/2*q**4 + 0 - 5*q**3 + 0*q**2 = 0. What is q?
0, 2/7, 1
Suppose 3*k - 11 = 2*i + 4, 0 = -i - k - 5. Let b be (2 - i/(-2))*-2. Factor -4*u**3 + b*u**3 - u**2 + 0*u**3 + u**3.
-u**2*(u + 1)
Let u(a) be the third derivative of a**5/24 - 5*a**4/8 + 25*a**3/12 - 3*a**2. Factor u(d).
5*(d - 5)*(d - 1)/2
Suppose 4*q - 14 = 3*j - 5, 0 = -5*q - j - 3. Factor q + 0*t + 0*t**2 + 0*t**3 - 3/5*t**5 + 3/5*t**4.
-3*t**4*(t - 1)/5
Let u(g) be the first derivative of 0*g**3 + 0*g**2 - 1/8*g**4 + 0*g + 2 + 1/10*g**5. Factor u(s).
s**3*(s - 1)/2
Let b(j) be the first derivative of -j**4/18 - j**3/3 - 2*j**2/3 + 5*j - 5. Let r(k) be the first derivative of b(k). Find v such that r(v) = 0.
-2, -1
Let t = 15 + -11. Factor t*x**4 + 0 - 6*x**4 + 3*x**3 + 3*x**3 - 6*x - 2*x**2 + 4.
-2*(x - 2)*(x - 1)**2*(x + 1)
Let l = 64 - 383/6. Let k(b) be the second derivative of -1/12*b**4 + b**2 + 0 - 3*b + l*b**3. Suppose k(g) = 0. Calculate g.
-1, 2
Let n be (657/(-150))/((-234)/15). Let i = -2/65 + n. Factor -1/4*g**2 - 1/2*g - i.
-(g + 1)**2/4
Let s(o) be the first derivative of -o**3/18 + 2*o/3 - 55. Determine x so that s(x) = 0.
-2, 2
Let i(y) = 25*y**4 - 73*y**3 + 47*y**2 - 5*y - 3. Let a(m) = -50*m**4 + 145*m**3 - 93*m**2 + 11*m + 5. Let n(k) = 3*a(k) + 5*i(k). Factor n(h).
-h*(h - 2)*(5*h - 2)**2
Let j(b) be the second derivative of -b**6/75 - b**5/50 + b**4/10 + b**3/3 + 2*b**2/5 + 3*b. Factor j(d).
-2*(d - 2)*(d + 1)**3/5
Let w(y) be the second derivative of y**5/210 - y**4/21 + 4*y**3/21 - y**2/2 + 2*y. Let h(k) be the first derivative of w(k). Determine x so that h(x) = 0.
2
Let h(m) be the second derivative of m**7/360 - m**6/144 - m**5/60 - m**4/4 + 4*m. Let a(u) be the third derivative of h(u). Suppose a(z) = 0. What is z?
-2/7, 1
Let a = 8 - 6. Let z(p) be the second derivative of -3*p - 1/6*p**4 - 1/3*p**3 + a*p**2 + 0. Let z(u) = 0. What is u?
-2, 1
Let u(p) = -4*p + 30. Let l be u(7). Factor 4/5*r**3 + 0*r - 12/5*r**l + 16/5.
4*(r - 2)**2*(r + 1)/5
Let b be 4/14*21/15. Solve 2/5 - 4/5*f + b*f**2 = 0 for f.
1
Let r be 6 + 1 + -1 + 0. Suppose 2*d - r = -0*d. What is h in 0*h + 2/7*h**5 + 0 + 2/7*h**d - 4/7*h**4 + 0*h**2 = 0?
0, 1
Let a(k) be the first derivative of 0*k**2 + 1/6*k**3 - 1/4*k + 0*k**4 - 1/20*k**5 + 4. Factor a(g).
-(g - 1)**2*(g + 1)**2/4
Determine m, given that 1 + m**2 + 7 - 73*m - 76*m + 155*m = 0.
-4, -2
Let l(c) = 3*c**3 - c**2 + 2*c - 1. Let d be l(1). Suppose -2*p = d*p - 15. Suppose -2*f**4 + 4*f**2 - 2 + 5*f**3 - 5*f**p = 0. What is f?
-1, 1
Factor 3/4*j**2 + 3/4*j**3 + 0*j + 0.
3*j**2*(j + 1)/4
Find x such that 161/4*x**3 + 31/4*x + 49/4*x**4 + 1/2 + 141/4*x**2 = 0.
-2, -1, -1/7
Determine n, given that 1 + 2*n**2 - 2*n**4 - n**4 + 2*n**3 - 5*n**5 - 3*n + 6*n**5 = 0.
-1, 1
Let u(s) be the second derivative of -s**4/72 + s**3/18 + s**2/4 - 4*s. Factor u(b).
-(b - 3)*(b + 1)/6
Let q(y) be the third derivative of -y**2 + 0*y - 2/105*y**7 + 0*y**3 + 1/15*y**5 + 1/3*y**4 + 0 - 1/15*y**6. Let q(s) = 0. What is s?
-2, -1, 0, 1
Let z(d) = 2*d**2 + d - 1. Let j(r) = -r**2 - r. Let v(x) = -j(x) - z(x). Factor v(b).
-(b - 1)*(b + 1)
Let l(y) be the second derivative of y**8/47040 - y**6/1680 + y**5/420 + 5*y**4/12 + 4*y. Let i(g) be the third derivative of l(g). Factor i(m).
(m - 1)**2*(m + 2)/7
Let s = -14 - -13. Let n be s + (6*-2)/(-4). Factor 0*b + 2/3 - 2/3*b**n.
-2*(b - 1)*(b + 1)/3
Let w(o) = 2*o**4 + 6*o**3 - 2*o**2 - 6*o. Let j(m) = m**3 - m. Let a(f) = f**2 - 4*f + 1. Let t be a(4). Let l(i) = t*w(i) - 4*j(i). Factor l(g).
2*g*(g - 1)*(g + 1)**2
Factor -1/4*t + 0 + 0*t**2 + 1/4*t**3.
t*(t - 1)*(t + 1)/4
Let c(i) be the second derivative of i**4/6 - 2*i**3/3 + i**2 + 5*i. Let c(o) = 0. What is o?
1
Let x(z) be the first derivative of z**6/33 + 4*z**5/55 + z**4/22 - 3. Factor x(c).
2*c**3*(c + 1)**2/11
Suppose 3*f - 29 = -8. Suppose -o = 4, -2*o = -3*h - f*o - 14. What is i in -h*i + 2*i + 0*i - i**2 = 0?
0
Suppose -3*j + r = 4, 8 = 3*j - 0*r + 2*r. Let m(y) be the second derivative of 0*y**3 - 3*y - 1/48*y**4 + 0*y**2 - 1/120*y**6 - 1/40*y**5 + j. Factor m(v).
-v**2*(v + 1)**2/4
Let q(w) = 4*w**2 + 5*w - 2. Let d(a) = 1. Let f(l) = 3*d(l) - q(l). Let o = -8 - -4. Let t(i) = i**2 + 2*i - 2. Let b(z) = o*f(z) - 14*t(z). Solve b(g) = 0.
2
Let h = 183/5 + -539/15. Factor -h*a**3 + 0 + 0*a + 1/3*a**2.
-a**2*(2*a - 1)/3
Let r(w) be the first derivative of -w**9/18144 - w**8/2520 - w**7/1008 - w**6/1080 + w**3 + 6. Let o(i) be the third derivative of r(i). Factor o(d).
-d**2*(d + 1)**2*(d + 2)/6
Let z(t) be the second derivative of -t**7/42 - t**6/10 - t**5/10 + t**4/6 + t**3/2 + t**2/2 + 3*t. Factor z(i).
-(i - 1)*(i + 1)**4
Let b = 427/5 + -2561/30. Let a(p) be the third derivative of 0 + 0*p**3 + 1/12*p**4 + 0*p - b*p**5 - 3*p**2. Solve a(n) = 0.
0, 1
Determine u so that 3/2*u**2 - 15/8*u + 3/4 - 3/8*u**3 = 0.
1, 2
Factor 0*n + 0 - 2/11*n**2.
-2*n**2/11
Let p(b) = -2*b + 10. Let u be p(5). Let s(k) = -k**3 + 7*k**2 - 6*k + 2. Let n be s(6). Factor 0*i**2 - 2 - n*i**2 + i + u*i**2 + 3*i.
-2*(i - 1)**2
Let u(c) = -c - 2. Let p be u(-12). Let i = p - 7. Suppose -1/2*y**2 + 0*y + 1/2*y**i + 0 = 0. Calculate y.
0, 1
Find l, given that 2/17*l**2 + 2/17*l + 0 = 0.
-1, 0
Let k = -10578/13 + 814. Factor 2/13*n**5 - 4/13*n**4 + 4/13 - 14/13*n + 16/13*n**2 - k*n**3.
2*(n - 1)**4*(n + 2)/13
Let z = 233/285 - 13/19. Let q(x) be the first derivative of -z*x**5 + 0*x - 1 + 0*x**2 + 1/18*x**6 + 0*x**3 + 1/12*x**4. Factor q(p).
p**3*(p - 1)**2/3
Let d be (2 + (-14)/4)*-26. Suppose -g + 0*g = -d. Factor -3*b**4 - g*b**2 - 12 - 36*b - 3*b**4 + 3*b**4 - 18*b**3.
-3*(b + 1)**2*(b + 2)**2
Let r(s) be the third derivative of s**7/840 - s**6/40 + 13*s**5/60 - s**4 + 8*s**3/3 - 3*s**2 + 4. Let r(h) = 0. What is h?
2, 4
Let o(r) be the first derivative of -r**4/44 + 10*r**3/33 - 17*r**2/22 + 8*r/11 + 39. Determine a, given that o(a) = 0.
1, 8
Let o(g) be the third derivative of g**8/1344 + g**7/420 - g**5/120 - g**4/96 - 3*g**2. Factor o(j).
j*(j - 1)*(j + 1)**3/4
Let x(b) be the first derivative of 2*b**3/15 - b**2 + 12*b/5 - 8. Factor x(i).
2*(i - 3)*(i - 2)/5
Let n(o) be th