r 4/7*j**2 - 4/7*j**d + 2/7*j - 2/7 - l*j**4 + 2/7*j**5.
2*(j - 1)**3*(j + 1)**2/7
Suppose -2*i + 7*i = 10. Let f(p) = -5*p - 40. Let h be f(-8). What is q in -2/3*q**i - 2/3*q + h = 0?
-1, 0
Let o = 1 - -1. Factor 0*l**2 + 0*l**o - 4*l + 4*l**2.
4*l*(l - 1)
Let u be (-2)/5 + (-9)/15. Let d be (4/8)/(u/(-4)). Factor 4*z**3 - 2*z**3 + 2*z**2 - 2*z**4 + 0*z**2 + 0*z**3 - d*z**5.
-2*z**2*(z - 1)*(z + 1)**2
Let g(w) be the second derivative of 1/210*w**5 - w + 0 + 1/42*w**4 - w**2 + 1/21*w**3. Let h(l) be the first derivative of g(l). Factor h(q).
2*(q + 1)**2/7
Let h(l) = -l**3 - l**2 + 2*l - 4. Let m be h(-3). Suppose 4*r + 14*r**4 + m*r**2 - 16*r**3 + 0*r + 2*r**4 - 12*r**3 = 0. Calculate r.
-1/4, 0, 1
Let l(r) be the first derivative of 4*r**3/3 - 28*r**2 + 196*r + 38. Factor l(u).
4*(u - 7)**2
Let i be 5 + -2 - 4 - -4. Factor -4 + 6*w + i*w**3 + 0*w**3 - 4*w**3 - w**3.
-2*(w - 1)**2*(w + 2)
Let f(o) be the second derivative of -o**4/42 + 4*o**3/21 + 23*o. Determine g, given that f(g) = 0.
0, 4
Let k be ((-14)/(-4) - 1)/2. Let i = k + -7/12. Find c, given that i*c - 2/3*c**3 + 0*c**2 - 1/3*c**4 + 1/3 = 0.
-1, 1
Determine g so that -1/3*g**2 - 8/3 + 2*g = 0.
2, 4
Factor 3/8*v + 0*v**3 - 3/8*v**5 + 3/4*v**4 + 0 - 3/4*v**2.
-3*v*(v - 1)**3*(v + 1)/8
Let f(p) = 39*p**3 - 168*p**2 + 285*p - 129. Let d(x) = 3*x**3 - 13*x**2 + 22*x - 10. Let y(r) = -27*d(r) + 2*f(r). Suppose y(w) = 0. What is w?
1, 2
Let r = -167/3 + 337/6. Factor -9/2*h**2 - 7/2*h - 1 - r*h**4 - 5/2*h**3.
-(h + 1)**3*(h + 2)/2
Let f(s) = -2*s**3 - 5*s**2 - 3*s. Let w(t) = 10*t**3 + 26*t**2 + 16*t. Let z(x) = -16*f(x) - 3*w(x). Factor z(n).
2*n**2*(n + 1)
Factor -12/5*d + 18/5 + 2/5*d**2.
2*(d - 3)**2/5
Suppose -b - 7 = -n, -3*n = 2*n + 3*b - 43. Let d be n/(-4) - 40/(-14). Factor -d*j**2 + 2/7*j**4 + 4/7 - 2/7*j + 2/7*j**3.
2*(j - 1)**2*(j + 1)*(j + 2)/7
Let n(f) be the first derivative of -3*f**5/5 + 3*f**4/2 + 3*f**3 - 6*f**2 - 12*f + 1. Factor n(k).
-3*(k - 2)**2*(k + 1)**2
Let a(b) = 3*b**2 + 2*b + 2. Let u(o) = 10*o**2 + 7*o + 7. Let p(j) = -7*a(j) + 2*u(j). Factor p(n).
-n**2
Let u(p) = -4*p**5 + p**4 + 5*p**3 - 5*p**2 - 4*p + 4. Let y(b) = -b**5 + b**3 - b**2 - b + 1. Let i(q) = -4*u(q) + 12*y(q). Factor i(d).
4*(d - 1)**3*(d + 1)**2
Let b(h) = 12*h**3 - 20*h**2 - 5*h + 5. Let a(c) = 3*c**3 - 5*c**2 - c + 1. Let m(r) = -22*a(r) + 6*b(r). Determine s so that m(s) = 0.
-1, 2/3, 2
Let i(c) = -c**2 + 5*c - 3. Let r be i(5). Let p be (r/4)/((-8)/32). Suppose 0*m**2 + 0 + 1/2*m**p + 0*m + 1/2*m**4 = 0. What is m?
-1, 0
Factor -2*h - 6*h**3 - 2*h**4 - 2*h**4 + h**4 + h**4 - 6*h**2.
-2*h*(h + 1)**3
Suppose 0 = -2*x + 3*o - 32, -5*x = 3*o - 5*o + 58. Let r = -6 - x. Determine q so that 2*q - 2*q**3 + 10*q**4 - r*q**3 - 3*q**5 + 0*q**5 - 2*q**2 - q**5 = 0.
-1/2, 0, 1
Let l(g) be the first derivative of g**6/16 - 3*g**5/20 + g**3/4 - 3*g**2/16 + 6. Factor l(h).
3*h*(h - 1)**3*(h + 1)/8
Let f(i) = i**2. Let t(q) = -6*q**2 + 7*q + 2. Let d = -6 + 5. Let l(k) = d*t(k) - 2*f(k). Suppose l(h) = 0. What is h?
-1/4, 2
Let b(r) be the second derivative of r**4/3 + 4*r**3 + 18*r**2 + 21*r. Determine q so that b(q) = 0.
-3
Find z such that z + 1/2*z**2 + 1/2 = 0.
-1
Suppose -5*p - 2 + 3 = 4*j, -3*j - p + 9 = 0. What is s in 2*s + 13 - 13 - 6*s**3 + 4*s**j = 0?
-1/2, 0, 1
Let z be -5*1/(5/(-2)). Let v = z - -1. Factor 0 - 1/5*t**v + 0*t + 2/5*t**4 - 1/5*t**2.
t**2*(t - 1)*(2*t + 1)/5
Let l = -508 - -508. Factor -2/3*z**2 + 0*z + l + z**3 - 1/3*z**4.
-z**2*(z - 2)*(z - 1)/3
Let y(v) be the second derivative of -2/3*v**3 - v**2 + 2*v - 1/6*v**4 + 0. Factor y(j).
-2*(j + 1)**2
Suppose -t + 2*c = -3*c + 28, c - 5 = 0. Let n be (0/(t - -4))/(-2). Factor 3/4*r**5 - 3/4*r**2 + 3/4*r**3 + 7/4*r**4 + n - 1/2*r.
r*(r + 1)**3*(3*r - 2)/4
Let k(m) = m**3 - 15*m**2 - 4*m - 6. Let r(d) = -6*d + d**2 + 4*d + d**3 + 3*d + 1. Let q(s) = -k(s) - 6*r(s). Find t such that q(t) = 0.
0, 2/7, 1
Let m(t) be the first derivative of 1/10*t**2 + 4 + 1/25*t**5 - 1/5*t**3 + 2/5*t - 1/20*t**4. Factor m(n).
(n - 2)*(n - 1)*(n + 1)**2/5
Let m(p) be the second derivative of -p**7/126 + p**6/45 - p**4/18 + p**3/18 + 13*p. Factor m(t).
-t*(t - 1)**3*(t + 1)/3
Let y = -162/115 + 60/23. Factor -2/5*j + 0 + y*j**2.
2*j*(3*j - 1)/5
Suppose 30 - 4 = 13*c. Factor -2/9*a**c - 4/9 + 2/3*a.
-2*(a - 2)*(a - 1)/9
Let b be 258/9*3/(-4). Let k = b - -22. Factor h**2 + 0*h + 0 - k*h**3 - 3/2*h**4.
-h**2*(h + 1)*(3*h - 2)/2
Let u = -160/39 + 75/13. Solve 4/3*g**3 + 1/3*g**4 + 0 + 2/3*g + u*g**2 = 0 for g.
-2, -1, 0
Let z(w) be the second derivative of 2*w - 2/15*w**3 + 3/5*w**2 - 1/30*w**4 + 0. Solve z(f) = 0.
-3, 1
Factor 0*x + 9 - 10*x + x**2 - 5*x + 9*x.
(x - 3)**2
Let j be (-17 + 19)/((-2)/4*-2). Let z(c) be the first derivative of 1/12*c**4 - 1 + 0*c - 1/9*c**3 - 1/6*c**j + 1/15*c**5. Let z(f) = 0. Calculate f.
-1, 0, 1
Let h(y) be the second derivative of 4/165*y**6 + 1/231*y**7 + 0 + 2/33*y**4 - 3*y + 3/55*y**5 + 0*y**2 + 1/33*y**3. Factor h(q).
2*q*(q + 1)**4/11
Let n(d) be the third derivative of -d**5/15 - d**4/2 - 4*d**3/3 + 8*d**2. Suppose n(f) = 0. Calculate f.
-2, -1
Let u(y) = -11*y**3 + 17*y - 9. Let a(r) = r**3 - r + 1. Let b(c) = 18*a(c) + 2*u(c). Solve b(k) = 0.
-2, 0, 2
Let x = -3 + 5. Let l = -4 + 6. Find i such that 10*i - 5*i + 0*i**2 + i**3 - x - 4*i**l = 0.
1, 2
Solve -5*l**3 - 3*l**2 - l**4 - 2*l + 2*l**3 + l = 0 for l.
-1, 0
Factor -2/9*r**3 + 4/3 + 2/9*r - 4/3*r**2.
-2*(r - 1)*(r + 1)*(r + 6)/9
Suppose -3 = 4*p + 5. Let u be p/3*6/(-16). Suppose 1/4*f**2 + 0 - u*f = 0. Calculate f.
0, 1
Let g(s) be the first derivative of 0*s**4 + 2 + 0*s**2 - 2/5*s**5 - 1/6*s**6 + 0*s + 0*s**3. Factor g(v).
-v**4*(v + 2)
Let q(a) be the second derivative of -a**6/6 - 3*a**5/4 - 5*a**4/12 + 5*a**3/2 + 5*a**2 + 22*a. Factor q(z).
-5*(z - 1)*(z + 1)**2*(z + 2)
Let k be (2/5)/((-2)/330). Let d = k + 200/3. Let -2/9 + 2/9*x**3 + 2/3*x - d*x**2 = 0. What is x?
1
Let t = -18 + 8. Let f = -7 - t. Solve 2*b**f + b**3 + 24*b**3 + 27*b**2 + 9*b + 1 = 0.
-1/3
Let k be ((-2)/(-2))/(3/6). Suppose -5*z = -0*v - v - 10, -4*v = 0. Determine y, given that -z*y - 5 + 2 - y**2 + k = 0.
-1
Let i(d) be the second derivative of -d**8/30240 - d**7/11340 + d**4/4 - 3*d. Let y(q) be the third derivative of i(q). Find f such that y(f) = 0.
-1, 0
Let d be (-1)/(-1) + (-4)/((-48)/18). Let f(z) be the first derivative of -5/4*z**4 + 3 + 2*z - 3/5*z**5 + 1/3*z**3 + d*z**2. Factor f(l).
-(l - 1)*(l + 1)**2*(3*l + 2)
Let a(x) be the first derivative of -x**7/105 + x**5/50 + 3*x - 3. Let z(c) be the first derivative of a(c). Factor z(d).
-2*d**3*(d - 1)*(d + 1)/5
Let t be (-1)/(-2)*1 - 50/(-44). What is l in 2/11*l**2 + 12/11*l + t = 0?
-3
Suppose 12 = 2*a - 0. Let b = -11/2 + a. Factor 3/2*g**2 - b*g + 0 - g**3.
-g*(g - 1)*(2*g - 1)/2
Let z(l) be the third derivative of -l**5/30 + 3*l**3 - 42*l**2. Suppose z(t) = 0. Calculate t.
-3, 3
Let t(n) = n**2 - n. Let q(i) = 8*i**2 - 10*i - 4. Let m(d) = -5*q(d) + 35*t(d). Determine j so that m(j) = 0.
-1, 4
Solve -2*h - 2/3*h**2 - 4/3 = 0.
-2, -1
Let n = 13 + -1. Suppose -2*m = 2*m - n. Solve -r**m - 1 - 6*r + 2 + 3*r**2 + 3*r + 0*r**3 = 0.
1
Let t(f) be the third derivative of -2*f**5/105 + f**4/28 + f**3/21 - 30*f**2. Solve t(d) = 0.
-1/4, 1
Let k(v) = v**2 - 7*v + 5. Let n be k(7). Suppose n*y - 10 = -0*y. Determine w so that 0 + 1/4*w**3 + 0*w**y - 1/4*w = 0.
-1, 0, 1
Let x = -1171 + 1171. What is g in 0*g + 0 + x*g**3 + 3/4*g**5 + 7/4*g**4 - g**2 = 0?
-2, -1, 0, 2/3
Let d = 84 + -80. Determine y so that -62/5*y**3 - 8/5 + 8/5*y + 42/5*y**2 + d*y**4 = 0.
-2/5, 1/2, 1, 2
Let o(l) be the third derivative of -l**8/336 + l**7/70 - l**6/40 + l**5/60 + 4*l**2. Suppose o(i) = 0. What is i?
0, 1
Let q(f) be the third derivative of -1/20*f**5 + 0*f + 3*f**2 + 0 + f**3 - 1/8*f**4. Determine s, given that q(s) = 0.
-2, 1
Let w(g) be the third derivative of -g**5/120 - g**4/16 - g**3/6 + 5*g**2. Factor w(b).
-(b + 1)*(b + 2)/2
Let r(i) = i - 2. Let d be r(2). Suppose 0 = 3*t - d*t. Factor 2*g + t*g**5 - g + g**5 - 2*g**3.
g*(g - 1)**2*(g + 1)**2
Suppose -2*y + y = 2. Let q be y/(-6) - 8/(-3). Let 4 + 0 + 6*b - 3*b**3 + b**q = 0. Calculate b.
-1, 2
Let -3*v**2 - 1 + v**2 - 2*v**2 - 4*v = 0. Calculate v.
-1/2
Let b(y) be the thir