*3 + 2*b**2 + 2*b - 7. Suppose -3*q + q - 10 = 0. Let g(m) = 2*m**3 + 2*m**2 + 2*m - 6. Let y(u) = q*g(u) + 4*j(u). Factor y(x).
2*(x - 1)**2*(x + 1)
Suppose 3*g - 2 = 2*s - 0*s, -5*s + 4*g + 2 = 0. Suppose 0 = -c - s*c + 9. Determine v, given that 0*v**2 + 0 + 1/3*v**c - 1/3*v = 0.
-1, 0, 1
Let c(b) be the first derivative of -4*b**6/33 - 2*b**5/11 + 3*b**4/22 + 10*b**3/33 + b**2/11 + 6. Determine y so that c(y) = 0.
-1, -1/4, 0, 1
Let d(z) = -5*z - 50. Let t be d(-10). Find l, given that 0*l**4 + 4/7*l**3 + t - 2/7*l**5 - 2/7*l + 0*l**2 = 0.
-1, 0, 1
Let n(p) be the first derivative of 5*p**4/4 - 5*p**2/2 + 8. Determine d so that n(d) = 0.
-1, 0, 1
Let i = -299 + 1369/5. Let o = i - -26. Factor 2/5*v**2 + o*v**3 + 0 - 2/5*v**4 - 4/5*v.
-2*v*(v - 2)*(v - 1)*(v + 1)/5
Factor 16/7*d**4 + 24/7*d**2 + 0 + 0*d + 4/7*d**5 - 44/7*d**3.
4*d**2*(d - 1)**2*(d + 6)/7
Let d be ((-25)/(-30))/(-5)*-8. Let p be (1/3)/(1/2). Find i such that -4/3*i**3 + p*i**5 + 2/3*i**4 - d*i**2 + 2/3*i + 2/3 = 0.
-1, 1
Let l(u) be the first derivative of u**3 - 2 - 7*u**2 + 3*u**2 + 27*u + 0 - 5*u**2. Find t, given that l(t) = 0.
3
Let r(o) be the first derivative of -4/3*o**3 - 1 - 3/2*o**2 + o. Solve r(j) = 0.
-1, 1/4
Let k(a) be the first derivative of -2/7*a**3 + 3/7*a**2 + 1 - 2/7*a + 1/14*a**4. Factor k(l).
2*(l - 1)**3/7
Let h = -2266 - -643543/284. Let w = 2279/1988 + h. Find u, given that 8/7*u + 2/7*u**2 + w = 0.
-2
Let x(l) = 7*l**2 + 3 + 2*l**3 - 4*l - 4*l**3 + 4*l + 3*l. Let g(v) = 4*v**3 - 15*v**2 - 7*v - 7. Let a(k) = 3*g(k) + 7*x(k). Let a(u) = 0. Calculate u.
0, 2
Let p(n) be the second derivative of -n**5/70 - n**4/21 + 4*n**3/21 + 8*n**2/7 + n. Factor p(y).
-2*(y - 2)*(y + 2)**2/7
Let a be (-1)/(-2) + 2/(-4). Factor a + 2/3*y**3 - 4/3*y**2 + 2/3*y.
2*y*(y - 1)**2/3
Factor 2*u + 1 + 5*u**2 - 3 - 8 + 3*u.
5*(u - 1)*(u + 2)
Let p be (-2)/(-7)*(7 + 8 - 1). Let n(t) be the third derivative of 0*t**3 + 0 + 1/30*t**5 + 0*t + 1/12*t**p + 2*t**2. Factor n(k).
2*k*(k + 1)
Let m(f) be the first derivative of -2*f**5/45 + 2*f**4/9 - 4*f**3/27 - 4*f**2/9 + 2*f/3 + 2. Let m(u) = 0. What is u?
-1, 1, 3
Let c(r) be the first derivative of -1/5*r**3 + 4 - 3/5*r + 3/5*r**2. Factor c(l).
-3*(l - 1)**2/5
Factor -42*g - 14 - 9*g**2 + 2 - 12.
-3*(g + 4)*(3*g + 2)
Let r(d) be the second derivative of -d**5/26 + d**4/26 + 4*d**3/13 + 4*d**2/13 - 9*d. What is i in r(i) = 0?
-1, -2/5, 2
Find o such that -2/3*o**2 - 2/3 - 4/3*o = 0.
-1
Let s(d) be the third derivative of -d**6/40 + 3*d**5/20 - 2*d**3 + 3*d**2. Factor s(u).
-3*(u - 2)**2*(u + 1)
Let l be (-1)/10*-4*30. Factor 1 + 11*v + 3*v**3 + 5 + 4*v + l*v**2.
3*(v + 1)**2*(v + 2)
Let d = -14 - -18. Let t be d/(-26) - (-392)/520. Find v, given that 9/5*v**5 - t*v**2 + 0 + 3/5*v**4 - 3*v**3 + 6/5*v = 0.
-1, 0, 2/3, 1
Let k(y) = -6*y**2 + 30*y - 64. Let a(w) = 13*w**2 - 59*w + 128. Let z(v) = 2*a(v) + 5*k(v). Let z(q) = 0. What is q?
4
Let o = 17 + -7. Let l = -29/3 + o. Let 0*n - l*n**2 + 0 + 1/3*n**3 = 0. What is n?
0, 1
Let c(b) be the second derivative of b**4/5 + 2*b**3/3 - 4*b**2/5 + 12*b. What is r in c(r) = 0?
-2, 1/3
Let q(u) be the third derivative of 1/210*u**7 + 2*u**2 + 0*u + 0 + 1/24*u**3 + 1/16*u**5 - 7/96*u**4 - 13/480*u**6. Let q(m) = 0. Calculate m.
1/4, 1
Let z(f) be the third derivative of 7*f**7/10 - 7*f**6/4 - 3*f**5/20 + 5*f**4/2 + 2*f**3 + 7*f**2. Determine y so that z(y) = 0.
-2/7, 1
Let a(h) = -2*h**4 + 27*h**3 - 68*h**2 + 60*h - 23. Let l(i) = 5*i**4 - 55*i**3 + 135*i**2 - 120*i + 45. Let x(v) = -5*a(v) - 3*l(v). Solve x(n) = 0 for n.
1, 2
Suppose 7 + 1 = -4*r. Let q be r/(-6)*(-135)/(-9). Suppose -8/3*k - 2/3*k**q + 2*k**3 - 8/3*k**2 + 0 + 4/3*k**4 = 0. What is k?
-1, 0, 2
Let z be -1 - -1*2/2. Find g, given that z - 8/5*g - 4/5*g**2 = 0.
-2, 0
Let a(m) = -4*m**3 + 6*m. Let b be 112/(-21) + 4/(-6). Let w = 5 - 12. Let x(v) = 5*v**3 - 7*v. Let q(s) = b*x(s) + w*a(s). Factor q(l).
-2*l**3
Let d = 4/83 - -138/581. Factor 0*t + 0 - 4/7*t**2 + d*t**3.
2*t**2*(t - 2)/7
Let k(g) = 2*g**4 + 40*g**3 + 105*g**2 + 107*g + 40. Let p(a) = -25*a**4 - 480*a**3 - 1260*a**2 - 1285*a - 480. Let r(c) = 35*k(c) + 3*p(c). Factor r(w).
-5*(w + 1)**2*(w + 2)*(w + 4)
Suppose 5*k - 2*d + 8 = 0, 2*k + 2*d - 13 + 5 = 0. Factor 3*i**4 - i**5 + k + 0 + 2*i**3 + 2*i**5.
i**3*(i + 1)*(i + 2)
Let o(y) be the second derivative of 5*y + 0*y**4 + 0 - 1/15*y**3 + 11/25*y**5 + 8/25*y**6 - 3/7*y**7 + 0*y**2. What is u in o(u) = 0?
-1/3, 0, 1/5, 1
Let k be 666/315 + (-4)/(-14). Let u be (-4)/(-12) - (-38)/30. Suppose -u*a**3 - 6/5*a**5 - 16/5*a**4 + 4/5 + k*a**2 + 14/5*a = 0. What is a?
-1, -2/3, 1
Let i(p) be the first derivative of p**4/5 - 2*p**3/15 - p**2/5 + 2. Find s such that i(s) = 0.
-1/2, 0, 1
Let q(f) = -3*f**3 + 6*f**2 - 4*f. Let m(a) = -2*a**3 + 0 + 3*a**3 - a**4 - 1. Let s(v) = -v - 3. Let c be s(-4). Let d(r) = c*m(r) - q(r). Factor d(j).
-(j - 1)**4
Let a(x) be the first derivative of 2/21*x**3 + 0*x**2 - 1 - 1/7*x**4 + 0*x + 2/35*x**5. Let a(i) = 0. What is i?
0, 1
Factor -1/4*w**2 - 1/4 - 1/2*w.
-(w + 1)**2/4
Let w = 13/3 + -4. Let l(z) = -z + 4. Let o be l(2). Determine h, given that 0 - 1/3*h**o - w*h = 0.
-1, 0
Let h be (8/48*(-7 - -5))/(-1). Solve 0 - h*d + 1/3*d**2 = 0 for d.
0, 1
Suppose -5*n = -4*n + 10. Let b be n/(-55) + 31/11. Determine k, given that -k - 2*k**b + 0*k + 2*k**2 + 3*k - 2*k**4 = 0.
-1, 0, 1
Let d(m) be the second derivative of -m**8/2240 - m**7/560 + m**5/80 + m**4/32 + 2*m**3/3 - 2*m. Let w(t) be the second derivative of d(t). Factor w(s).
-3*(s - 1)*(s + 1)**3/4
Let v(k) be the third derivative of 1/55*k**5 + 0 + 0*k - k**2 + 1/165*k**6 + 1/33*k**3 + 1/1155*k**7 + 1/33*k**4. Solve v(h) = 0.
-1
Let w(j) be the second derivative of j**4/16 + j**3/8 + 2*j. What is h in w(h) = 0?
-1, 0
Let s be (10/(-2) - 53)/((-5)/3). Solve -3/5 - 384/5*r**5 - s*r**2 + 96/5*r**4 + 264/5*r**3 + 39/5*r = 0 for r.
-1, 1/4, 1/2
Let c(n) = -20*n**4 - 110*n**3 - 445*n**2 - 815*n - 535. Let u(w) = -9*w**4 - 55*w**3 - 223*w**2 - 407*w - 268. Let r(h) = -2*c(h) + 5*u(h). Factor r(b).
-5*(b + 2)*(b + 3)**3
Let c = -10 + 18. Let k = 403 + -795/2. Factor -c*i**3 - k*i**2 - 7/2*i**4 - i + 0.
-i*(i + 1)**2*(7*i + 2)/2
Suppose 6 - 4 = w. Factor 1/4*d**3 - 1/4*d - 1/4*d**4 - 1/2 + 3/4*d**w.
-(d - 2)*(d - 1)*(d + 1)**2/4
Let d be 8 - (-5)/2*(-12)/5. Factor -1/4 - 3/4*p - 1/2*p**d.
-(p + 1)*(2*p + 1)/4
Factor 8/11*z**3 - 8/11*z**2 + 0 + 0*z - 2/11*z**4.
-2*z**2*(z - 2)**2/11
Factor 8*g - 4/3*g**2 - 12.
-4*(g - 3)**2/3
Let h(w) = w**2 + 6*w. Let i(x) = x**2. Let u(n) = -h(n) + 2*i(n). Let r(o) = -o**2 + 5*o. Let z(b) = 5*r(b) + 4*u(b). Factor z(g).
-g*(g - 1)
Let d(c) be the second derivative of -c**7/42 + c**6/30 + c**5/20 - c**4/12 - 3*c. What is p in d(p) = 0?
-1, 0, 1
Let f(g) = -7*g**4 - 35*g**3 - 48*g**2 - 24*g - 4. Suppose 0 = -u - u + 2. Let a = 1 - -4. Let v(n) = n**3 + n**2. Let o(l) = a*v(l) + u*f(l). Factor o(s).
-(s + 1)**2*(s + 2)*(7*s + 2)
Suppose 5*y = 3*l + 4*y - 10, l + 6 = -2*y. Let f(s) be the first derivative of 1/2*s**l - 2/3*s**3 + 2*s - 1/4*s**4 + 3. Let f(n) = 0. Calculate n.
-2, -1, 1
Suppose 4*q - 5*y + 0 + 5 = 0, q - 4*y = -4. Let -2*n + 3*n**3 - n**3 + 2 + q*n - 2*n**2 = 0. Calculate n.
-1, 1
Determine z, given that -2/15 + 2/15*z**3 - 2/5*z**2 + 2/5*z = 0.
1
Let m = -2/507 + 4571/2028. Let q = -7/4 + m. Factor -q + 1/4*v + 1/4*v**2.
(v - 1)*(v + 2)/4
Let q(z) be the first derivative of 2*z**3/3 - 2*z**2 - 4. What is c in q(c) = 0?
0, 2
Suppose -4*o + 5*g = -32, -6*o + 2*g + 20 = -2*o. Let z = o + -1. Suppose 4/3*d**5 + 2/3*d - 2/3*d**2 + 2/3*d**4 - z*d**3 + 0 = 0. What is d?
-1, 0, 1/2, 1
Let l(h) be the second derivative of 5*h + 1/20*h**5 - 1/4*h**4 + 3/2*h**2 + 0 + 1/2*h**3. Let d(k) be the first derivative of l(k). Factor d(x).
3*(x - 1)**2
Suppose 2 = 2*j - 2. Factor r + 1 - 2*r - r + r**j.
(r - 1)**2
Let p(o) be the third derivative of o**6/200 - o**5/100 - 17*o**2. Factor p(r).
3*r**2*(r - 1)/5
Let f(v) = v**3 + v. Let g(k) = 2*k**3 + 3*k**2 + 4*k - 3. Let p(x) = -3*f(x) + g(x). Factor p(u).
-(u - 3)*(u - 1)*(u + 1)
Let f be (-5*(-7)/7)/((-5)/(-2)). Factor -3/2 - 3/2*x + 3/2*x**f + 3/2*x**3.
3*(x - 1)*(x + 1)**2/2
Suppose 7*i - 4*i = 6. Let j(m) = -5*m**3 + 8*m**2 + 2*m - 2. Let p(b) = -b**3 + 