*5/120 + t**4/48 - t**2 - 3*t. Let q(x) be the first derivative of j(x). Solve q(k) = 0.
-1, 0
Suppose 0 = -a - 3*a. Let r(h) be the third derivative of -1/480*h**6 + 1/24*h**3 - 1/32*h**4 + 0*h + a + 1/80*h**5 - h**2. Solve r(u) = 0.
1
Let y(u) be the first derivative of -u**4/2 - 4*u**3/3 + u**2 + 4*u - 4. Factor y(b).
-2*(b - 1)*(b + 1)*(b + 2)
Determine i, given that -7/9*i**4 + i**3 + 5/9*i**2 + 2/9 - i = 0.
-1, 2/7, 1
Let s(g) be the third derivative of -g**9/3024 - g**8/840 + g**6/180 + g**5/120 - g**3/6 + 3*g**2. Let w(j) be the first derivative of s(j). Factor w(y).
-y*(y - 1)*(y + 1)**3
Let c(a) be the first derivative of a**4/14 - 8*a**3/21 + 4*a**2/7 - 50. Suppose c(p) = 0. Calculate p.
0, 2
Let y(w) = 5*w**2 - 20*w - 2. Let j(z) = -85*z**2 + 340*z + 35. Let c(p) = 2*j(p) + 35*y(p). Factor c(n).
5*n*(n - 4)
Let u(d) be the first derivative of -3*d**5/5 + 3*d**4/2 - 4*d**2 + 6. Let s(j) = j**4 - 2*j**3 + 3*j. Let n(o) = -8*s(o) - 3*u(o). Solve n(c) = 0.
0, 2
Let y be ((-4)/12)/((-1)/27). Let d = y + -9. Factor 0*z**3 + 1/4*z - 1/4*z**5 + d + 1/2*z**4 - 1/2*z**2.
-z*(z - 1)**3*(z + 1)/4
Let z = -71/3 - -24. Factor 1/3*g - 1/3 - 1/3*g**3 + z*g**2.
-(g - 1)**2*(g + 1)/3
Factor -6*b**3 - 15*b**2 + 35*b**3 - 12*b**3 - 25 - 12*b**3 - 45*b.
5*(b - 5)*(b + 1)**2
Let n be 0/(5 - 3) - -2. Solve y**2 + 3*y**2 - 2 - 2 + 2*y - 2*y**n = 0.
-2, 1
Factor -6 - 3/2*c**2 - 6*c.
-3*(c + 2)**2/2
Let z(u) = 0*u**2 - 1 - u**3 + u**2 + 18*u - 18*u + u**4. Let a(j) = j**4 - 7*j**3 + 5*j**2 + 4*j - 3. Let r(v) = a(v) - 3*z(v). Let r(s) = 0. What is s?
-2, -1, 0, 1
Let t(v) = -22*v**4 - 26*v**3 + 2*v**2 + 2*v + 2. Let s(d) = d**4 + d**3 + d**2 - d + 1. Let k(q) = 2*s(q) - t(q). Suppose k(w) = 0. Calculate w.
-1, -1/2, 0, 1/3
Let t(p) = 0*p - 2 + 2 - p. Let c be t(-2). Factor 0 + 2 - 2 + z**3 - z**c.
z**2*(z - 1)
Suppose 3*p = -p - 4*z, -4*z = -p. Let o(q) be the first derivative of p*q - 2/33*q**3 + 2/11*q**2 + 4. Determine c so that o(c) = 0.
0, 2
Let w(a) be the second derivative of a**6/180 - a**4/36 - 3*a**2/2 + 2*a. Let d(s) be the first derivative of w(s). Solve d(o) = 0.
-1, 0, 1
Let g(n) be the third derivative of n**7/840 - n**5/120 + n**3/24 - 14*n**2. Let g(c) = 0. Calculate c.
-1, 1
Solve 16/11*n - 2/11*n**5 - 24/11*n**2 + 6/11*n**4 + 4/11*n**3 + 0 = 0.
-2, 0, 1, 2
Factor 0 + 0*o + 2/9*o**4 + 8/9*o**3 + 2/3*o**2.
2*o**2*(o + 1)*(o + 3)/9
Let a be 87/(-203)*7/(-1). Factor 1/2*h**5 - 1/2*h**4 + 0*h**a + 0 + 0*h + 0*h**2.
h**4*(h - 1)/2
Let i(s) be the first derivative of -s**5/10 - s**4/4 - s**3/6 - 9. Let i(z) = 0. What is z?
-1, 0
Let m(w) be the first derivative of 0*w + 0*w**2 - 2/35*w**5 + 0*w**4 + 2/21*w**3 - 3. Suppose m(n) = 0. Calculate n.
-1, 0, 1
Let 12*v + 5 - 19 + 7 - 2 - 3*v**2 = 0. Calculate v.
1, 3
Let k be ((-4)/10)/((-3)/(-60)). Let j be 36/k*(-2)/3. Factor -j*n**2 + 6*n + 0*n - 5*n + 3*n**3 - n**4.
-n*(n - 1)**3
Let g = 8 - 5. Let o be 3 - (2 + 2 + -1). Factor -j**4 + 3*j**g - 4*j + o*j**2 + 5*j - 3*j**2.
-j*(j - 1)**3
Let y be 42/(-12) - 2/4. Let o(p) = -p**5 + p**4 + p**2 + p - 1. Let m(r) = 5*r**5 - 9*r**4 + 8*r**3 - 8*r**2 - 4*r + 4. Let d(n) = y*o(n) - m(n). Factor d(x).
-x**2*(x - 2)**2*(x - 1)
Let s = -79/20 + 11/4. Let q = s - -28/15. Factor -q*p + 0 - 2/3*p**2.
-2*p*(p + 1)/3
Let f = -23 - -26. Factor -2*l**3 + 5*l + 0*l**3 - f*l + 1 - l**4.
-(l - 1)*(l + 1)**3
Suppose 3*m + 8 = 2. Let b be 2 + 2 + m - -3. Suppose 2*o**3 + 2*o**2 - 2*o**b - 2 - 2*o**4 + 2 = 0. Calculate o.
-1, 0, 1
Let c(v) = 18*v**3 - 25*v**2 - 4*v + 2. Let w(z) = z**3 - z**2 - z. Let t = 11 + -3. Suppose 3*l - t = -l. Let m(o) = l*c(o) - 18*w(o). Factor m(p).
2*(p - 1)**2*(9*p + 2)
Let -13*x**2 + 2*x**2 + 3*x**4 + 6*x**3 + 6*x**2 + 8*x**2 = 0. What is x?
-1, 0
Determine h so that -4/7*h**4 + 0 + 0*h**2 + 16/7*h - 12/7*h**3 = 0.
-2, 0, 1
Let b = 11 - 5. Let s(h) = -10*h**2 + 11*h - 1. Let o(i) = -4*i - 2. Let v be o(-3). Let g(d) = 5*d**2 - 6*d + 1. Let l(q) = b*s(q) + v*g(q). Factor l(n).
-2*(n - 1)*(5*n + 2)
Suppose -6*f = 5*v - f - 30, 3*f = -6. Factor -y**4 + v*y**3 + 3*y**4 - y**2 - 10*y**3 + 2*y - y**2.
2*y*(y - 1)**2*(y + 1)
Let s(q) be the first derivative of 27*q**2 + 1/2*q**4 + 4 + 6*q**3 + 54*q. Factor s(i).
2*(i + 3)**3
Factor 0 + 0*h - 3/4*h**2.
-3*h**2/4
Find q such that 3/2*q**2 - 3*q + 0 + 9/2*q**3 = 0.
-1, 0, 2/3
Let l(j) be the second derivative of 5*j + 3/8*j**3 + 3/4*j**2 + 0 + 1/16*j**4. Factor l(n).
3*(n + 1)*(n + 2)/4
Suppose 25*p - 284 = -284. Factor -10/3*o - 5/3*o**2 + p.
-5*o*(o + 2)/3
Let 2*g**2 - 7*g**3 - 11*g**3 + 20*g**3 = 0. What is g?
-1, 0
Suppose 2*j - 8 = -2*j. Let k(q) be the first derivative of -1/3*q**3 - 1/2*q**2 + j + 1/4*q**4 + q. Factor k(v).
(v - 1)**2*(v + 1)
Let m(p) be the second derivative of -1/60*p**4 - 3/10*p**2 + 0 - 2/15*p**3 + 8*p. Solve m(t) = 0.
-3, -1
Let r(o) be the second derivative of -o**7/42 + o**6/6 - o**5/2 + 5*o**4/6 - 5*o**3/6 + o**2/2 - 5*o. Factor r(c).
-(c - 1)**5
Let b(i) be the first derivative of -2*i**3/3 - 2*i**2 - 2*i - 9. Factor b(h).
-2*(h + 1)**2
Let h(r) = -r**3 - 21*r**2 - 31*r - 19. Let s(m) = -4*m**3 - 64*m**2 - 94*m - 56. Let z(f) = -11*h(f) + 4*s(f). Suppose z(c) = 0. Calculate c.
-3, -1
Let r be (4/(-5))/(10/(-25)). Factor 2 + r - 4*d + 0*d + d**2.
(d - 2)**2
Let o(s) be the second derivative of -s**4/3 + 4*s**3/3 + 6*s**2 + 9*s. Determine a, given that o(a) = 0.
-1, 3
Let z = -45 + 135. Let p be 808/z - 2/(-9). Determine k so that -8/5 + 64/5*k + 16*k**4 - p*k**3 + 32/5*k**5 - 122/5*k**2 = 0.
-2, 1/4, 1
Let v(p) be the second derivative of -p**7/5040 + p**6/720 + p**5/80 + 5*p**4/12 + 6*p. Let r(c) be the third derivative of v(c). Factor r(j).
-(j - 3)*(j + 1)/2
Suppose 6*o - 6 = 4*o. Factor 15*t**2 - 2*t**2 - t**2 + 4*t + 16*t**3 - 5*t**3 + o*t**4.
t*(t + 1)*(t + 2)*(3*t + 2)
Let c(v) = -v - 12. Let x be c(-10). Let j(p) = p**3 + 4*p**2 + 4*p + 2. Let t be j(x). Factor -1/2*b**t + 1/2*b**4 + 1/2*b**3 + 0*b + 0 - 1/2*b**5.
-b**2*(b - 1)**2*(b + 1)/2
Suppose s = -s + 4. Let p(d) be the second derivative of d + 1/18*d**3 - 1/36*d**4 + 0 + 0*d**s. Factor p(z).
-z*(z - 1)/3
Let x(s) = -6*s**3 + 12*s**2. Let b(c) = -6*c**2 - 2*c + 11*c**3 - 8*c**3 + 2*c. Let p(l) = 5*b(l) + 3*x(l). Factor p(z).
-3*z**2*(z - 2)
Suppose 0 = -8*a + 12*a - 12. Let z(q) be the third derivative of 2*q**2 + 1/9*q**a + 0 + 0*q + 0*q**4 - 1/90*q**5. Suppose z(j) = 0. What is j?
-1, 1
Factor -3/2*h**3 + 3*h**2 + 3/2*h - 3.
-3*(h - 2)*(h - 1)*(h + 1)/2
Let n = -589 - -5350/9. Let t = n + -5. Solve 4/9 + 2/9*z**3 - 2/9*z - t*z**2 = 0.
-1, 1, 2
Let i = 86/35 + -13/7. Suppose -3/5*o**3 + i*o - 3/5 + 3/5*o**2 = 0. What is o?
-1, 1
Let r(a) be the second derivative of -1/7*a**2 + 0 + 5/42*a**4 + 6*a - 4/21*a**3. Determine s so that r(s) = 0.
-1/5, 1
Factor 4/3*j**2 - 4*j + 8/3.
4*(j - 2)*(j - 1)/3
Let d(p) be the second derivative of 1/9*p**3 + 0*p**2 + 1/60*p**5 - 4*p + 0 + 1/12*p**4. Let d(g) = 0. What is g?
-2, -1, 0
Let a(o) be the first derivative of 4/7*o - 8/21*o**3 + o**2 + 1. Suppose a(k) = 0. Calculate k.
-1/4, 2
Let v(j) be the second derivative of j**5/60 + j**4/24 - j**2 + 3*j. Let m(n) be the first derivative of v(n). Suppose m(p) = 0. Calculate p.
-1, 0
Let 0*j + 1 + 2*j**3 + 0*j**5 - 30*j**4 + 35*j**4 - 6*j**2 - 3*j**5 + j = 0. Calculate j.
-1, -1/3, 1
Let c be (-4)/(-16) - 7/(-4). Solve -2*a**2 - 7 - 4*a + 3 + c = 0 for a.
-1
Let g = 24 + -21. Suppose -p + 6 = -4*o, -4*p + 2*o + 5 = 5*o. Factor p*n + 0*n**g + n - 3*n**2 - 1 + n**3.
(n - 1)**3
Let c be (((-4)/(-10))/2)/(398/995). Factor -1/4*d**2 - c - 3/4*d.
-(d + 1)*(d + 2)/4
Let f(p) be the second derivative of 1/20*p**5 - 1/6*p**3 + p + 0 + 1/2*p**2 - 1/12*p**4. Factor f(b).
(b - 1)**2*(b + 1)
Let r(y) be the first derivative of -y**5/180 - y**4/36 + y**3/6 + 2*y**2 + 1. Let a(f) be the second derivative of r(f). Solve a(g) = 0 for g.
-3, 1
Let q(v) be the first derivative of -v**3/21 + 3*v**2/7 - 9*v/7 - 7. Factor q(z).
-(z - 3)**2/7
Let d be 36/27*6/(-4)*-2. Factor -38/11*l**3 - 14/11*l**d - 2/11*l**5 - 32/11*l - 50/11*l**2 - 8/11.
-2*(l + 1)**3*(l + 2)**2/11
Let u be (-144)/(-63) - -3*(-2)/3. Factor -2/7*y**3 + u*y**2 + 2/7*y - 2/7.
-2*(y - 1)**2*(y + 1)/7
Let v = 137/3 - 875/12. Let o = v - -28. Factor -3/2 + 3/2*g**2 + 3/4*g**3