+ 2)**2
Let i = 1 + 4. Suppose -i*h - 2 = 3*g - 0*g, -h = 4*g + 14. Suppose -1 + 2*t + 5*t + t - 16*t**h = 0. What is t?
1/4
Let w = 23 + -3. Let o = w + -18. Solve 6/11*j**3 + 2/11 + 2/11*j**o - 6/11*j - 4/11*j**4 = 0.
-1, 1/2, 1
Suppose 16 = -2*o + 6*o + 2*d, 5*d = -5*o + 15. Suppose -o*i + 5*p + 16 = -2*i, 2*p + 8 = 2*i. Let 0 + 0*t**i - 1/4*t**3 + 1/4*t = 0. Calculate t.
-1, 0, 1
Let j(v) be the second derivative of -v**4/6 - v**3/3 + 2*v**2 - 4*v. What is h in j(h) = 0?
-2, 1
Let y(d) be the first derivative of d**4/6 - d**2 - d + 3. Let p(q) be the first derivative of y(q). Factor p(g).
2*(g - 1)*(g + 1)
Let c(o) be the second derivative of 8*o**7/21 - 2*o**6/5 - 13*o**5/5 + o**4/3 + 6*o**3 + 4*o**2 - 12*o. Find v, given that c(v) = 0.
-1, -1/4, 1, 2
Factor 0 - 2/3*d**2 + 2*d**3 + 0*d - 2*d**4 + 2/3*d**5.
2*d**2*(d - 1)**3/3
Let p(l) be the third derivative of l**8/26880 - l**7/10080 + l**4/24 + 3*l**2. Let m(k) be the second derivative of p(k). Factor m(f).
f**2*(f - 1)/4
Let r(u) be the second derivative of -u**6/120 - u**5/20 + 2*u**3/3 + 2*u**2 + 13*u - 2. Factor r(h).
-(h - 2)*(h + 2)**3/4
Factor 2*q**4 - 2*q**5 - 10*q**3 + 10*q**3.
-2*q**4*(q - 1)
Let d(t) = 4*t**5 - 11*t**4 - t**3 + 8*t**2 + 4*t + 3. Let q(f) = -2*f**5 + 5*f**4 + f**3 - 4*f**2 - 2*f - 1. Let o(b) = 3*d(b) + 7*q(b). Factor o(c).
-2*(c - 1)**3*(c + 1)**2
Factor 1/4*h**3 + 0*h + 0 + 0*h**2 - 1/4*h**4.
-h**3*(h - 1)/4
Determine v, given that -3/4*v**3 - 9/4*v**4 + 0 + 5/4*v**2 - 1/4*v = 0.
-1, 0, 1/3
Let u(w) = 7*w**2 - 10*w + 3. Let j(m) = 6*m**2 - 9*m + 3. Let d be ((-39)/26)/(6/8). Let v(s) = d*j(s) + 3*u(s). Factor v(c).
3*(c - 1)*(3*c - 1)
Let s(j) be the first derivative of 2*j**6/3 + 12*j**5/5 + j**4 - 4*j**3 - 4*j**2 - 59. Solve s(f) = 0 for f.
-2, -1, 0, 1
Suppose -8 = -5*u - 38. Let t be -3 - (u + 2 + 2). Let f(s) = -s**3 + 1. Let c(n) = 5*n**4 + 4*n**3 - 5*n**2 + 2*n - 6. Let d(h) = t*c(h) - 6*f(h). Factor d(i).
-i*(i - 1)*(i + 1)*(5*i - 2)
Factor 2*x + 2*x + 3*x**3 - 2*x**3 + 3*x**3 - 8*x**2.
4*x*(x - 1)**2
Let z = -246 + 248. Find k such that 0*k**z - 2/5*k - 1/5*k**4 + 2/5*k**3 + 1/5 = 0.
-1, 1
Let p(g) = -g**5 + g**4 - g**3 - g + 1. Let z(w) = 20*w**5 - 22*w**4 + 26*w**3 + 20*w - 22. Let n(a) = 44*p(a) + 2*z(a). Factor n(q).
-4*q*(q - 1)**2*(q + 1)**2
Let o = -32392/27 - -1200. Let r(u) be the first derivative of -4/9*u - 2 - 1/18*u**4 - o*u**3 - 5/9*u**2. What is d in r(d) = 0?
-2, -1
Let v(f) be the second derivative of -f**4/42 + f**2/7 - 7*f. Suppose v(j) = 0. Calculate j.
-1, 1
Let v(y) = -y**4 - y**2 - y + 1. Let r(g) = -19*g**4 - 60*g**3 - 14*g**2 + 6*g - 6. Let o(w) = -r(w) - 6*v(w). Suppose o(a) = 0. What is a?
-2, -2/5, 0
Let d(i) be the second derivative of 5*i**4/12 - 5*i**3/3 + 5*i**2/2 - 18*i. Suppose d(w) = 0. What is w?
1
Let l(i) be the third derivative of 0*i + 5/8*i**4 - 2*i**3 + 0 - 3*i**2 - 1/20*i**5. Solve l(n) = 0 for n.
1, 4
Factor 4/15*j + 0 - 2/15*j**2.
-2*j*(j - 2)/15
Let g = -64 - -257/4. Factor g*z**4 + 0*z + 1/4*z**3 + 0*z**2 + 0.
z**3*(z + 1)/4
Factor 12/11*s**2 + 2/11*s**4 - 8/11*s**3 + 2/11 - 8/11*s.
2*(s - 1)**4/11
Let k = -224/5 - -45. Let u = -772/5 + 156. Solve 16/5*d**3 - u*d**2 + 0 + k*d = 0 for d.
0, 1/4
Let x(b) be the second derivative of 0 + 1/70*b**5 + 0*b**2 + 0*b**3 + 10*b - 1/21*b**4. Solve x(o) = 0 for o.
0, 2
Let r be -1 + (-8 - (-3 - 0)). Let p(k) = 2*k**4 - 10*k**3 - 6*k**2 + 10*k - 2. Let g(u) = u**3 + u**2 - u. Let h(j) = r*g(j) - p(j). Factor h(d).
-2*(d - 1)**3*(d + 1)
Let h(m) be the first derivative of -1/4*m**2 + 3/20*m**5 - 1/4*m**3 + 1/24*m**6 + 0*m - 1 + 1/16*m**4. Factor h(x).
x*(x - 1)*(x + 1)**2*(x + 2)/4
Suppose 18 = 3*j - j. Let r(x) = -4*x**4 - 2*x**3 + 2*x**2 + 2*x - 2. Let i(v) = -17*v**4 - 7*v**3 + 8*v**2 + 7*v - 9. Let u(k) = j*r(k) - 2*i(k). Factor u(t).
-2*t*(t - 1)*(t + 1)*(t + 2)
Let f = -78/329 - -38/47. Let -f*y + 2/7*y**2 + 2/7 = 0. What is y?
1
Let n(s) be the second derivative of 3*s**5/20 - 3*s**4/4 - 2*s**3 + 3*s - 9. Factor n(w).
3*w*(w - 4)*(w + 1)
Let 3/5*y**3 + 9/5*y - 9/5*y**2 - 3/5 = 0. Calculate y.
1
Let n(q) be the third derivative of 0*q + 1/96*q**4 - 8*q**2 - 1/240*q**5 + 0 + 0*q**3. Factor n(s).
-s*(s - 1)/4
Let b(t) = t**2 + t - 1. Let u(l) = -4*l - 2. Let k(o) = -4*b(o) - 2*u(o). Factor k(g).
-4*(g - 2)*(g + 1)
Let r(q) be the second derivative of q**7/5040 + q**6/720 + q**5/240 + 7*q**4/12 + 8*q. Let x(i) be the third derivative of r(i). Suppose x(v) = 0. What is v?
-1
Let y be 2 + -2 + -1*1. Let s = 2 - y. Factor 0*f**3 + 5*f**3 - 3*f**s.
2*f**3
Suppose 0*q - 8/3*q**2 - 8*q**3 - 6*q**4 + 0 = 0. What is q?
-2/3, 0
Suppose 4*j = -0*j + 2*l - 6, -4*j = 3*l + 21. Let z be 4*(6/(-28))/j. Factor 8/7 - 32/7*c + 50/7*c**2 - 38/7*c**3 + 2*c**4 - z*c**5.
-2*(c - 2)**2*(c - 1)**3/7
Factor 5*q**3 - 3*q - 5*q + 3*q.
5*q*(q - 1)*(q + 1)
Let l be 2*((-2 - -4) + -1). Suppose -x + 6 = 4. Let 4*j**2 + l*j - x*j - 6*j**3 = 0. Calculate j.
0, 2/3
Let u(d) be the third derivative of -3/20*d**5 - 21/40*d**6 - d**2 + 0*d + 0*d**3 - 9/112*d**8 - 5/14*d**7 + 1/4*d**4 + 0. Let u(g) = 0. Calculate g.
-1, 0, 2/9
Let o(u) be the first derivative of u**6/15 - u**5/20 - u**4/12 - u + 1. Let w(y) be the first derivative of o(y). Let w(n) = 0. What is n?
-1/2, 0, 1
Factor 0 - 12/5*t**4 + 0*t**2 + 3/5*t**5 + 12/5*t**3 + 0*t.
3*t**3*(t - 2)**2/5
Let b(f) be the third derivative of 0 + 0*f + 4/21*f**3 + 6*f**2 + 1/210*f**5 - 1/21*f**4. Solve b(g) = 0 for g.
2
Let d = 2/253 + 492/1771. Let k(r) be the first derivative of 1/7*r**6 + 0*r - d*r**5 - 2/7*r**2 - 2 + 10/21*r**3 - 1/14*r**4. Suppose k(h) = 0. What is h?
-1, 0, 2/3, 1
Let u(w) be the first derivative of -3*w**5 - 6*w**4 - w**3 + 3*w**2 + 12. Solve u(o) = 0.
-1, 0, 2/5
Factor -5*z - 6*z**2 + 152*z**3 - 162*z**3 - 9*z**2.
-5*z*(z + 1)*(2*z + 1)
Let t(d) be the first derivative of d**6/4 - d**5/4 - 7*d**4/16 + 5*d**3/12 + d**2/8 + 9. Let t(c) = 0. What is c?
-1, -1/6, 0, 1
Factor -1/2*g**2 + 0 + 0*g + 5/4*g**4 + 3/4*g**3.
g**2*(g + 1)*(5*g - 2)/4
Let m = 28 + -25. Factor 0 + 0*j - 2/9*j**m - 2/9*j**2.
-2*j**2*(j + 1)/9
Let y = 237/4 - 2117/36. What is i in 0 - y*i**3 + 2/3*i**4 + 4/9*i - 2/3*i**2 = 0?
-1, 0, 2/3, 1
Let w = -152/7 + 22. Determine v, given that -4/7*v**2 + w*v**3 + 0 + 0*v = 0.
0, 2
Let h(i) be the first derivative of -i**6/6 - 2*i**5/5 + 2*i**3/3 + i**2/2 + 17. Factor h(s).
-s*(s - 1)*(s + 1)**3
Solve 24*l - 32 - 7*l**2 + 20 - 8*l**2 + 3*l**3 = 0.
1, 2
Find b, given that -3/2*b - 15/8 + 3/8*b**2 = 0.
-1, 5
Let y(n) be the second derivative of -n**4/18 + 4*n**3/9 - n**2 - 7*n. Let y(z) = 0. What is z?
1, 3
Let l be (-6)/6 + (-11)/(-9). Let a = -7 - -11. Solve -2/9*d**a + 0*d**2 + l*d**3 + 0*d + 0 = 0 for d.
0, 1
Let d(g) be the first derivative of -g**4/2 - 6*g**3 - 27*g**2 - 54*g + 8. Determine c, given that d(c) = 0.
-3
Factor -29*k**4 + 2*k + 59*k**4 - 29*k**4 - 2*k**3 - 1.
(k - 1)**3*(k + 1)
Let q(g) be the third derivative of 0*g + 0*g**5 + 1/40*g**6 + g**3 + 0 - 3/8*g**4 + 6*g**2. Let q(w) = 0. Calculate w.
-2, 1
Let a(h) = -h - 7. Let i be a(-10). Let j(n) be the third derivative of -1/3*n**4 + 2*n**2 - 1/120*n**6 + 0 - 2/3*n**i + 0*n - 1/12*n**5. Factor j(k).
-(k + 1)*(k + 2)**2
Let r(d) = d**2 - 3*d. Let y be r(4). Let n = 8 - y. Find w such that 1 + w**2 - n*w + 1 - 5*w**2 + 6*w**2 = 0.
1
Suppose -15 = -2*h - 3. Factor h*q + 5*q**2 + 2 + q**2 - 24*q**3 + 26*q**3.
2*(q + 1)**3
Let w be ((-3)/9)/((-2)/(-150)). Let a = w - -28. Find q, given that 0 + q + 9/2*q**a - 11/2*q**2 = 0.
0, 2/9, 1
Let i be (36/7)/(60/56). What is u in 4/5*u - 18/5*u**2 + i*u**3 + 0 - 2*u**4 = 0?
0, 2/5, 1
Let q(r) be the third derivative of 9*r**6/40 - 3*r**5/5 - 11*r**4/8 - r**3 + 9*r**2. Factor q(m).
3*(m - 2)*(3*m + 1)**2
Let t(r) be the first derivative of 0*r - 1/6*r**3 + 0*r**2 - 3 + 4/3*r**6 - 4/5*r**5 - 7/8*r**4. Factor t(h).
h**2*(h - 1)*(4*h + 1)**2/2
Let m(z) = 5*z - 4*z**2 - 5*z + z**3 + 4*z + 4 - 2*z**2. Let h be m(6). What is p in -h*p**4 - 8/5*p - 138/5*p**3 + 0 - 56/5*p**2 - 10*p**5 = 0?
-1, -2/5, 0
Let d be 7*((-2)/(-3))/((-98)/(-6)). Solve -d*i**2 + 0 - 4/7*i = 0 for i.
-2, 0
Let c be 4/(-12) - 10/(-3). Suppose h - c = -0*x + x, 0 = 4*h + 4*x - 4. Determine s so that 0*s**5 + h*s**3 - 3*s**5 + s**4 + s**5 - 3*s**4 + 2*