*4/24 - 2*z**2 - 6*z. Let l(f) be the first derivative of c(f). Factor l(a).
a*(a - 1)**2*(a + 1)
Let h(g) = 2*g - 1. Let c be h(1). Let u = c + 0. Factor -2*o**3 + 0*o - 6*o**2 + 4*o**2 + 2*o + u + 1.
-2*(o - 1)*(o + 1)**2
Let s(a) = a**2 + a + 8. Let l be s(0). Suppose l = g + g. Suppose 0 + 6/7*n**3 + 0*n**2 + 2/7*n**g - 8/7*n = 0. What is n?
-2, 0, 1
Solve 22/3*u + 14/3*u**2 + 2/3*u**3 + 10/3 = 0.
-5, -1
Let v be 126/26 + 8/52 - 2. Let c(g) be the first derivative of 4*g + 2 - v*g**2 + 2/3*g**3. Solve c(f) = 0 for f.
1, 2
Let f(k) = -k**3 + 7*k**2 - 2*k + 4. Let d be f(7). Let g be d/(-6) - (-2)/6. Factor v**5 + g*v - 2*v**4 + v**3 - 2 + 4*v**2 + v**5 - 5*v**3.
2*(v - 1)**3*(v + 1)**2
Let a(s) be the third derivative of s**8/672 - s**6/120 + s**4/48 - 2*s**2. What is l in a(l) = 0?
-1, 0, 1
Let -1 + c**2 + 173*c - 173*c = 0. What is c?
-1, 1
Let z(d) = -1 - 7 + 3*d - d + 0*d. Let v be z(6). Find i such that 0 + 0*i**3 + 1/3*i - 1/3*i**5 - 2/3*i**v + 2/3*i**2 = 0.
-1, 0, 1
Let d be 16/30 + ((-77)/15 - -5). Factor 16/5*h**2 + 2*h**3 + d*h - 4/5.
2*(h + 1)**2*(5*h - 2)/5
Let a = 129/2 - 139/6. Let w = a + -41. Factor 2/3*n**3 - 1/3*n - w*n**5 + 0*n**2 + 0 + 0*n**4.
-n*(n - 1)**2*(n + 1)**2/3
Let r(a) be the third derivative of a**6/15 + 3*a**5/5 + 9*a**4/4 + 9*a**3/2 + 3*a**2. Solve r(u) = 0.
-3/2
Let a = 1/2 - 0. Suppose -3*n + 9 = -0*n. Factor 1/2*l**n - 1/2*l - a + 1/2*l**2.
(l - 1)*(l + 1)**2/2
Let r(h) be the first derivative of -2*h**3/3 + h**2 - 15. Let r(w) = 0. What is w?
0, 1
Let s(r) be the second derivative of -r**4/66 - 2*r**3/33 + 3*r**2/11 - 8*r. What is c in s(c) = 0?
-3, 1
Suppose -4*h + 12 = 2*b, -12 = -3*b - 0*b - 3*h. Suppose 0 = -3*q + 5*z - 0*z + 34, q = b*z + 13. Factor 1/4*c**q + 1/2*c**2 + 0 + 1/4*c.
c*(c + 1)**2/4
Suppose 24*l**3 + 3*l**4 + 72*l - 13 + 66*l**2 + 50 - 10 = 0. What is l?
-3, -1
Suppose -3*n - 9 = 0, y - 3 = -2*y - 4*n. Suppose 0 = 4*l - y - 15. Let -l*c**2 + 2*c**2 + 3*c**4 - c**3 + 3*c**3 - 2*c = 0. Calculate c.
-1, -2/3, 0, 1
Suppose 0*y + 16 = 4*y. Let r(v) be the second derivative of 0*v**2 + 0*v**3 + 1/10*v**5 - 1/6*v**y - 2*v + 0. Let r(a) = 0. Calculate a.
0, 1
Let r = -297/2 + 149. Let s(l) be the second derivative of 0 - 5/12*l**4 + r*l**3 + l**2 + 2*l. Factor s(q).
-(q - 1)*(5*q + 2)
Let x be (-2)/(-40) - (-1)/(-4). Let z = x + 3/5. Factor -2*k - z - 8/5*k**2.
-2*(k + 1)*(4*k + 1)/5
Factor -30*d**3 - 4*d**4 + 6*d**4 + 28*d**3.
2*d**3*(d - 1)
Factor 32/3 + 108*u**3 + 168*u**2 - 272/3*u.
4*(u + 2)*(9*u - 2)**2/3
Let g(i) = -3*i**3 + 49*i**2 - 18*i + 36. Let s be g(16). Determine f so that -3*f**3 + 3*f + 5/3*f**2 + 2/3 - 7/3*f**s = 0.
-1, -2/7, 1
Suppose 2*j - 12 = -o - 4, -3*o + 12 = 2*j. Factor u**o - u + u.
u**2
Let j(r) be the first derivative of 2*r**3/33 + 2*r**2 + 22*r - 5. Factor j(n).
2*(n + 11)**2/11
Let b be 1/(-96)*190 - -2. Let c(j) be the second derivative of 0*j**2 + j + 0 + 1/12*j**3 + b*j**4. Factor c(u).
u*(u + 2)/4
Let j(f) be the third derivative of -f**7/120 - f**6/16 + 9*f**5/80 + 5*f**4/48 - 45*f**2. Factor j(p).
-p*(p - 1)*(p + 5)*(7*p + 2)/4
Let x(m) = 5*m**5 + 4*m**4 - m**3 + 3*m. Let z(n) = -2*n**4 + 2*n**3 + 30*n**5 - 4*n - 36*n**5 - 2*n**4. Let w(c) = -4*x(c) - 3*z(c). Factor w(v).
-2*v**3*(v + 1)**2
Let k(c) be the third derivative of c**8/26880 - c**6/960 + c**5/240 + c**4/8 + 2*c**2. Let a(x) be the second derivative of k(x). Factor a(l).
(l - 1)**2*(l + 2)/4
Let s(r) be the second derivative of 0*r**2 - 5*r + 1/2*r**3 + 1/8*r**4 + 0. Factor s(k).
3*k*(k + 2)/2
Let f(x) be the first derivative of -11 + 1/3*x**3 - 3/2*x**2 + 2*x. Factor f(m).
(m - 2)*(m - 1)
Let f(k) be the first derivative of 2*k**5/35 + 5*k**4/28 - k**3/7 - 4*k**2/7 + 4*k/7 - 12. Factor f(x).
(x - 1)*(x + 2)**2*(2*x - 1)/7
Factor -92*r**4 + 43*r**4 + 49*r**4 + 3*r**5 - 3*r**3.
3*r**3*(r - 1)*(r + 1)
Let t(n) = -6*n**2 + 6. Let k(q) be the third derivative of -7*q**5/60 + 7*q**3/6 + 6*q**2. Let c(x) = -4*k(x) + 5*t(x). Solve c(h) = 0.
-1, 1
Solve 1/7 + 36/7*w**4 - 17/7*w**2 + 1/7*w - 3*w**3 = 0.
-1/3, 1/4, 1
Let g = 6 + -2. Let z(h) be the second derivative of 2*h + 1/2*h**g + 2/3*h**3 + 0*h**2 + 0. Let z(m) = 0. Calculate m.
-2/3, 0
Let n = -78 - -112. Let x(i) = 12*i**3 + 5*i**2 + 17*i. Let w(k) = -2*k**3 - k**2 - 3*k. Let m(c) = n*w(c) + 6*x(c). Solve m(y) = 0.
0, 1
Let b(u) = 4*u**4 - 3*u**3 + 6*u**2 + 2*u - 3. Let x(k) = -7*k**4 + 6*k**3 - 11*k**2 - 3*k + 5. Let l(z) = -5*b(z) - 3*x(z). Factor l(v).
v*(v - 1)**3
Let q(t) be the second derivative of 0*t**3 - 1/90*t**6 + 0 + 0*t**5 + t + 1/36*t**4 + 0*t**2. Solve q(s) = 0.
-1, 0, 1
Let d be (-2 - 5)/(4 + -5). Suppose -16 = -d*q - 2. Let 1/3*y + 0 + 1/3*y**3 + 2/3*y**q = 0. Calculate y.
-1, 0
Suppose 393 = -7*t + 393. Find x such that t + 1/4*x**3 + 1/2*x + 3/4*x**2 = 0.
-2, -1, 0
Let g(q) be the first derivative of 0*q**4 - 1/12*q**6 + 4 + 0*q + 1/4*q**2 - 1/3*q**3 + 1/5*q**5. Suppose g(a) = 0. Calculate a.
-1, 0, 1
Factor 2/7*s**3 + 0 - 4/7*s**2 + 2/7*s.
2*s*(s - 1)**2/7
Let l be (-6)/(-4)*3/9. Let b = 1/11 - -9/22. Find i such that i**3 - i + 0*i**2 - b*i**4 + l = 0.
-1, 1
Let m(r) be the second derivative of 0 + 3*r + 3/100*r**5 - 3/10*r**3 + 3/5*r**2 + 0*r**4. Let m(o) = 0. What is o?
-2, 1
Let t = -633 + 633. Factor 0*q + t + 1/3*q**2.
q**2/3
Let f(t) be the first derivative of -3/4*t**4 - 12*t**2 + 1 + 12*t + 5*t**3. Factor f(o).
-3*(o - 2)**2*(o - 1)
Let f = 9/1963 - 232129/107965. Let q = f + 28/11. Factor 2/5*k**2 - q*k**3 - 2/5 + 2/5*k.
-2*(k - 1)**2*(k + 1)/5
Let o(l) = 20*l**3 - 180*l**2 + 471*l - 311. Let v(z) = 5*z**3 - 45*z**2 + 118*z - 78. Let c(k) = 2*o(k) - 9*v(k). Find u such that c(u) = 0.
1, 4
Let f be 522/27 + 3/18. Solve 3/4 - 81/4*w**4 - 81/4*w**5 + 27/4*w + 27/2*w**3 + f*w**2 = 0.
-1, -1/3, 1
Suppose 0*s**4 - 103*s**3 + 9*s**4 + 109*s**3 + 7*s**5 - 4*s**5 = 0. Calculate s.
-2, -1, 0
Let r(p) = -p**2 + 6*p + 5. Let a be r(6). Let w = a + -2. Factor q**3 + q**4 + 2*q**w - 5*q**3 + q**2.
q**2*(q - 1)**2
Let r = 107/5 - 21. Factor 0*l - r*l**3 - 2/5*l**2 + 0.
-2*l**2*(l + 1)/5
Let w be 6/(-8)*4/(-6). Let m(c) be the second derivative of 1/24*c**4 - 1/12*c**3 + 0 - c - w*c**2. Let m(g) = 0. Calculate g.
-1, 2
Let x(v) = -v**2 + v + 3. Let t(u) = 2*u**2 - 4*u - 8. Let c be 102/(-13) + 6/(-39). Let l(g) = c*x(g) - 3*t(g). Factor l(b).
2*b*(b + 2)
Suppose 0 = 4*p - 9 + 1. Solve 0 + 1/6*a - 2/3*a**p - 2/3*a**4 + a**3 + 1/6*a**5 = 0.
0, 1
Factor 0 + 4/9*t**3 + 0*t**2 - 2/9*t**4 + 0*t - 2/9*t**5.
-2*t**3*(t - 1)*(t + 2)/9
Let m be 4 - 6 - 1*16. Let d = m + 21. Suppose 1/5*i**2 - 1/5*i**d + 2/5*i + 0 = 0. Calculate i.
-1, 0, 2
Let p(z) = -3*z**3 - 197*z**2 - 1531*z - 4086. Let y(i) = 20*i**3 + 1280*i**2 + 9952*i + 26560. Let v(s) = -32*p(s) - 5*y(s). Factor v(q).
-4*(q + 8)**3
Factor -12/7*s + 18/7 + 2/7*s**2.
2*(s - 3)**2/7
Suppose 0 = 3*d - 0*d - 12. Suppose 4*h = 2*h + d. Factor -7*y**2 + 5*y**h + 0*y**4 - 2*y**4 + 4*y**3.
-2*y**2*(y - 1)**2
Factor 2/3 + 5/3*j - 11/3*j**2 + 4/3*j**3.
(j - 2)*(j - 1)*(4*j + 1)/3
Let n = 7436/9 - 826. Factor -8/9 + n*c**4 - 8/9*c + 2/3*c**2 + 8/9*c**3.
2*(c - 1)*(c + 1)*(c + 2)**2/9
Suppose t + 17 = a - 2*t, 0 = -4*t - 16. Suppose 0*g - a*g**2 + 6*g**2 + 3*g**4 + g - g**3 - 4*g**4 = 0. What is g?
-1, 0, 1
Suppose -x = -3*x + 4. Suppose 0 = -2*y + 6 - x. What is k in k + 1/4*k**4 + 1/4 + k**3 + 3/2*k**y = 0?
-1
Let x(b) = -5*b**4 + 22*b**3 - 25*b**2 + 12*b. Let u(l) = 85*l**4 - 375*l**3 + 425*l**2 - 205*l. Let m(y) = 2*u(y) + 35*x(y). Determine c so that m(c) = 0.
0, 1, 2
Let m(h) be the second derivative of 3/20*h**5 + h**4 + 5/2*h**3 + 0 + 2*h + 3*h**2. Factor m(i).
3*(i + 1)**2*(i + 2)
Suppose 5*n = -n. Suppose 18 = -i - 5*x, n = 3*i - 3*x + 6 - 24. Factor -8/3*s**3 + 4/3*s - 2/3*s**2 + 0 + i*s**4.
2*s*(s - 1)**2*(3*s + 2)/3
Let l(b) be the second derivative of -b**6/15 - b**5/10 + 5*b. Determine y, given that l(y) = 0.
-1, 0
Let a = 24 - 22. What is k in -2/5 - 4/5*k**a - 1/5*k**3 - k = 0?
-2, -1
Let z = -45 + 30. Let j be z/(-18) - 6/(-9). Factor j*h**2 + 3/2*h**3 + 0 - 3/2*h - 3/2*h**4.
-3*h*(h - 1)**2*(h + 1)/2
Let u(h) = h. Let t be u(2). Determine p, given that 3 + 4*p**2 + t*p**2 - 8*p - 1 = 0.
1/3, 1
Let s be 6*1 - (-9)/(-3). Suppose -3*d = -6*d + s. Solve -t + 4 - d + 3*t**2 - 5*t