-2*(o + 1)**3
Factor -1/4*i**5 - 1/2*i**2 + 1/4*i + 0 + 1/2*i**4 + 0*i**3.
-i*(i - 1)**3*(i + 1)/4
Suppose 3*t + 3*z = 8*t - 65, 4*t = z + 45. Let o = t - 10. Let 0 - 2/5*x**5 - 2/5*x**3 + 0*x + o*x**2 + 4/5*x**4 = 0. Calculate x.
0, 1
What is b in 18/7 + 12/7*b + 2/7*b**2 = 0?
-3
Suppose -2*p + 4 = -3*p. Let h be 6/p*(-12)/9. Find u such that 4*u - 2*u**2 - 4*u - h*u = 0.
-1, 0
Find x, given that 460/7*x**3 + 0*x**2 - 52/7*x - 8/7 + 192/7*x**5 + 608/7*x**4 = 0.
-2, -1, -1/4, 1/3
Let x(g) be the first derivative of g**6/2 + 3*g**5 + 27*g**4/4 + 7*g**3 + 3*g**2 - 3. Factor x(h).
3*h*(h + 1)**3*(h + 2)
Let d(o) be the second derivative of o**7/14 - o**6/5 - 3*o**5/4 + 5*o**4/2 + 2*o**3 - 12*o**2 + 8*o. Solve d(h) = 0.
-2, -1, 1, 2
Let p = -307 - -309. Solve 4/5 + 2/5*m**p - 6/5*m = 0 for m.
1, 2
Let a = -11 + 17. Let b(k) be the third derivative of -1/420*k**a + 0*k + 2*k**2 - 1/210*k**5 + 1/735*k**7 + 0 + 1/1176*k**8 + 0*k**4 + 0*k**3. Factor b(d).
2*d**2*(d - 1)*(d + 1)**2/7
Let g(j) be the first derivative of j**6/1980 + j**5/330 + j**4/132 - 2*j**3 - 8. Let y(p) be the third derivative of g(p). Factor y(c).
2*(c + 1)**2/11
Let k(a) be the first derivative of 4*a**2 - 4*a + 2. Let p be k(5). Determine n so that -2*n**2 + n - p + n**3 + 36 = 0.
0, 1
Let f = -21 + 21. Let j(d) be the third derivative of 1/90*d**5 + f + 0*d**3 + 1/360*d**6 - 1/210*d**7 + 0*d**4 + d**2 + 0*d. Determine p so that j(p) = 0.
-2/3, 0, 1
Let f(q) be the third derivative of -q**5/30 - 2*q**4/3 - 16*q**3/3 + q**2. Factor f(c).
-2*(c + 4)**2
Factor 24/5*t**2 - 48/5*t + 0 - 3/5*t**3.
-3*t*(t - 4)**2/5
Let j(d) be the second derivative of -d**5/30 + d**4/3 - 4*d**3/3 - 2*d**2 - 2*d. Let o(q) be the first derivative of j(q). Factor o(l).
-2*(l - 2)**2
Let a = -41 - -41. Let y = 5/6 - 1/2. Factor y*x**2 + a*x**3 - 1/3*x**4 + 0*x + 0.
-x**2*(x - 1)*(x + 1)/3
Let o(a) be the first derivative of -a**8/560 + a**7/280 + 2*a**3/3 + 3. Let v(n) be the third derivative of o(n). What is w in v(w) = 0?
0, 1
Let x(r) be the first derivative of 7 - 2/17*r**2 - 2/51*r**3 - 2/17*r. Suppose x(l) = 0. Calculate l.
-1
Let s be (-2)/(-6)*(-2 - -14). Suppose 2*i = -y - s*y + 12, -2*y = -4*i. Factor 0*z - 1/2 + 1/2*z**y.
(z - 1)*(z + 1)/2
Let v(u) be the second derivative of -u**8/1680 + u**6/360 - u**3/2 - 7*u. Let n(j) be the second derivative of v(j). Let n(a) = 0. Calculate a.
-1, 0, 1
Let h(t) = -t**3 + 5*t**2 - t + 3. Let s be h(3). Let i = 18 - s. Factor 4/7*x**4 + 0 + 2/7*x**3 + i*x + 0*x**2 + 2/7*x**5.
2*x**3*(x + 1)**2/7
Let n(i) be the first derivative of 3*i**6/2 - 12*i**5/5 - 3*i**4/2 + 4*i**3 - 3*i**2/2 - 14. Determine u, given that n(u) = 0.
-1, 0, 1/3, 1
Suppose 0*r = 7*r - 21. Let m(x) be the first derivative of -1/5*x**r - 3/5*x - 3/5*x**2 - 3. Suppose m(z) = 0. Calculate z.
-1
Let f(n) be the third derivative of -n**7/1050 - n**6/150 - n**5/50 - n**4/30 - n**3/30 - 14*n**2. Determine z so that f(z) = 0.
-1
Let y(c) be the first derivative of c**6/4 + 3*c**5/5 - 3*c**4/4 - 2*c**3 + 3*c**2/4 + 3*c + 30. Solve y(a) = 0.
-2, -1, 1
Let k = -69 - -75. Factor -k + 4*f - 2/3*f**2.
-2*(f - 3)**2/3
Let s = -70 + 70. Let -2/3*w**2 + s*w + 2/3 = 0. What is w?
-1, 1
Let n(r) be the first derivative of -r**5/40 - r**4/32 + r**3/12 - 21. Factor n(x).
-x**2*(x - 1)*(x + 2)/8
Suppose -2*a - 2*a = -8. Suppose f - 5*f = -8. Factor 4*j**5 - 1 + f - 3*j**4 + a*j**2 - 3*j + 2*j**3 - 3*j**5.
(j - 1)**4*(j + 1)
Let q(c) be the second derivative of -1/10*c**6 + 8*c + 0 + 0*c**2 - 1/4*c**4 + 0*c**3 + 3/10*c**5. Factor q(m).
-3*m**2*(m - 1)**2
Let j(t) = t**2 - 4*t - 3. Let y be j(5). What is m in 3 - m**2 + 4*m - 6 - y*m + 2 = 0?
1
Suppose 3*l = 2*m - 4*m + 5, -4*m = 5*l - 11. Suppose m*h - h = 6. Determine o, given that -7 + 1 + 3*o**2 + 0 + 4*o + h = 0.
-2, 2/3
Suppose 0 = 2*w - 0*w - 4. Let y(v) = 2*v**3 - 3*v**2 + v + 1. Let s be y(w). Let -5 + 0*n**3 + 1 + s*n**3 + 26*n**2 - 4 + 20*n = 0. What is n?
-2, 2/7
Let k(t) be the third derivative of 2*t**7/105 + t**6/30 - 7*t**2. Factor k(u).
4*u**3*(u + 1)
Factor -1/6*o + 1/3*o**2 - 1/6*o**3 + 0.
-o*(o - 1)**2/6
Let g(z) be the third derivative of -z**5/390 + z**4/78 - z**3/39 + 49*z**2. Find m such that g(m) = 0.
1
Let z(v) be the first derivative of 0*v + 0*v**3 + 1/6*v**4 + 3 + 0*v**2 - 1/18*v**6 + 1/15*v**5. Determine s, given that z(s) = 0.
-1, 0, 2
Let i be 2 + 2 - (-45)/(-12). Let p(x) = 2*x - 2. Let h be p(2). Factor 0*b + 0 + i*b**4 + b**3 + b**h.
b**2*(b + 2)**2/4
Let m be (1/4)/(35/56). Factor 0 + 2/5*a**4 + 0*a**3 - m*a**2 + 0*a.
2*a**2*(a - 1)*(a + 1)/5
Let b be 1 + 1 - (0 - 0)/(-3). Let l(m) be the first derivative of 2/11*m**2 + 2/33*m**3 + b + 2/11*m. Factor l(c).
2*(c + 1)**2/11
Let k(x) = -x**3 - 2*x**2 - 5*x. Let j = 6 + -1. Let l(z) = -z**3 - 3*z**2 - 6*z. Let h(g) = j*k(g) - 4*l(g). Solve h(a) = 0.
0, 1
Suppose -24*l + 22*l + 6 = 0. Let s(b) be the second derivative of 8/21*b**l + 0 + 5/42*b**4 + b + 1/70*b**5 + 4/7*b**2. Factor s(g).
2*(g + 1)*(g + 2)**2/7
Solve 1/4*q**4 + 0*q**3 + 0 + 0*q + 0*q**2 = 0.
0
Suppose -19*x - 16 = -23*x. Suppose -4*w + 4 = -4*q, 2*w + 7 = 5*q + w. Factor 2*s**x + s**4 - 2*s**4 + s**q - 2*s**3.
s**2*(s - 1)**2
Let z(w) be the third derivative of -w**5/15 + 6*w**3 - w**2 - 23. Factor z(o).
-4*(o - 3)*(o + 3)
Find b such that -2/5 + 2/5*b**2 + 0*b = 0.
-1, 1
Let l(p) be the third derivative of -p**9/60480 - p**8/20160 + p**5/15 + 2*p**2. Let q(k) be the third derivative of l(k). Factor q(z).
-z**2*(z + 1)
What is s in 0*s**3 + 0*s**2 + 0*s - 3/2*s**4 + 0 = 0?
0
Let t(f) = -7*f + 14*f + 13 - 12 - f**2. Let l be t(5). What is s in -l*s**3 + 6*s**4 - 4*s + 10*s**2 - 2*s**3 - s**5 + 2*s**2 = 0?
0, 1, 2
Let 3/4*v**4 - 3/2*v**3 - 9/4*v**2 + 3*v + 3 = 0. What is v?
-1, 2
Let r(f) be the second derivative of -f**4/54 + 4*f**3/27 - f**2/3 - 16*f. What is p in r(p) = 0?
1, 3
Suppose k + 15 = 3*i, 5*i - 8 = 2*k - 6*k. Let l be 9/k*(-4)/6. Factor -y**3 - y - 2*y**2 + y**l - y**2.
-y*(y + 1)**2
Factor 0*y**2 + 10 + 0*y + 7*y + y**2.
(y + 2)*(y + 5)
Let o(w) = 3*w**2 - w - 1. Let u be o(2). Let q = 9 - u. Factor 0 - 2/3*d**2 - 4/3*d**4 + 2*d**3 + q*d.
-2*d**2*(d - 1)*(2*d - 1)/3
Let f(z) be the third derivative of -z**5/15 + 5*z**4/24 - z**3/6 + 3*z**2. Determine l, given that f(l) = 0.
1/4, 1
Let u(b) = 3*b. Let w be u(1). Factor -9/2*i**w + 0*i - 3*i**2 + 3/2*i**5 + 0*i**4 + 0.
3*i**2*(i - 2)*(i + 1)**2/2
Determine p, given that -2/17*p**2 + 10/17*p**3 + 0 - 10/17*p + 2/17*p**4 = 0.
-5, -1, 0, 1
Suppose 2*x + 12 + 0 = 0. Let s be x/21 + (-60)/(-14). Factor 2/5*h**s - 2/5*h**5 - 2/5*h**2 + 2/5*h**3 + 0*h + 0.
-2*h**2*(h - 1)**2*(h + 1)/5
Let u(g) be the first derivative of -2*g**5/15 + g**4/3 - 2*g**3/9 - 9. Factor u(y).
-2*y**2*(y - 1)**2/3
Let x(j) be the first derivative of 4*j**5 - 20*j**3/3 - 7*j**2 - 2. Let n(f) = -7*f**4 + 7*f**2 + 5*f. Let d(m) = 14*n(m) + 5*x(m). Factor d(c).
2*c**2*(c - 1)*(c + 1)
Suppose -8*r - 858 = -6*r. Let k = r - -3009/7. Factor 2/7*g**3 - k*g + 0*g**2 - 4/7.
2*(g - 2)*(g + 1)**2/7
Let f be 4 + -2 + (-1 - -1). Let v(a) = a**3 - a + 1. Let i be v(f). Find l such that -1 + 2*l - 2*l + 2*l + 4*l**3 + 0*l + i*l**2 = 0.
-1, 1/4
Let q(a) be the third derivative of a**5/42 - a**4/7 + 4*a**3/21 + 3*a**2. Determine o so that q(o) = 0.
2/5, 2
Let j be 32/(-12)*(-3)/28. Factor 0*i + 2/7 - j*i**2.
-2*(i - 1)*(i + 1)/7
Let b be 42/(-6) - 9/(-3). Let m be (b/42 + 0)*-12. Factor -6/7*o**2 - m*o - 2/7.
-2*(o + 1)*(3*o + 1)/7
Let t = 18642/23 + -810. Let n = 130/161 - t. Solve -n*z + 4/7*z**2 - 2/7*z**3 + 0 = 0.
0, 1
Suppose 2*v - 7 = -1. Suppose -4*t = f + 18, v*f + 4 = 4*t + 30. Find i, given that -3*i**3 + 3*i**3 - 1 + f*i**2 - i**4 = 0.
-1, 1
Let q(j) be the third derivative of j**5/30 - j**4/8 - 2*j**2. Let v(g) = -g**2 - 7*g - 1. Let c be v(-6). Let h(f) = -f. Let i(s) = c*h(s) - q(s). Factor i(b).
-2*b*(b + 1)
Let p(g) be the third derivative of -g**6/660 - g**5/330 + g**4/132 + g**3/33 - 13*g**2. Factor p(t).
-2*(t - 1)*(t + 1)**2/11
Suppose 0*f = -3*f + 18. Let r be (-2)/f - (-28)/48. Suppose -r*i**3 + 0*i + 0 + 0*i**2 = 0. Calculate i.
0
Let k = 69/13 - -5/26. Let n(w) be the second derivative of 0 + 27/2*w**2 + 12*w**3 + 1/10*w**6 - 2*w + k*w**4 + 6/5*w**5. Factor n(r).
3*(r + 1)**2*(r 