**2 = 0. Calculate w.
-1, 1
Factor 6*u**3 + 3*u - 3/2*u**4 - 15/2*u**2 + 0.
-3*u*(u - 2)*(u - 1)**2/2
Find f, given that 2/5*f**2 + 16/5*f + 32/5 = 0.
-4
Let r(h) = -4*h + 6. Let d be r(1). Let 3/5*t**d + 6/5 - 9/5*t = 0. What is t?
1, 2
Let u = 3 - -1. Find j such that -5*j**2 + 8 + 12*j - 2*j**4 - 12*j**3 + j**2 - 2*j**u = 0.
-2, -1, 1
Suppose -i + 3*i = 26. Suppose 2*s = 2, -5*h = -h + 5*s - i. Suppose 5/2*m**h - 4*m + 2 - 1/2*m**3 = 0. Calculate m.
1, 2
Let b(a) be the third derivative of -a**6/660 + a**5/110 - a**4/66 - 5*a**2. Factor b(r).
-2*r*(r - 2)*(r - 1)/11
Let n(x) be the second derivative of -x**6/75 - 3*x**5/50 - 25*x. What is q in n(q) = 0?
-3, 0
Let x(i) be the third derivative of 0*i**5 - 3*i**2 + 0*i**4 + 1/420*i**7 + 0 + 0*i**6 + 0*i + 0*i**3. Suppose x(o) = 0. Calculate o.
0
Let m(u) = -15*u**2 + 60*u - 25. Let o(n) = -n**3 + 14*n**2 - 61*n + 24. Let h(d) = -6*m(d) - 5*o(d). Factor h(x).
5*(x - 1)**2*(x + 6)
Let d(f) be the first derivative of f**6/900 + f**3 + 4. Let r(a) be the third derivative of d(a). Factor r(q).
2*q**2/5
Let t = -2/765 + 311/21420. Let j = 5/21 + t. Factor 5/4*u**2 - j*u + 3/4*u**4 + 0 - 7/4*u**3.
u*(u - 1)**2*(3*u - 1)/4
Let f(n) be the second derivative of -n**7/112 + n**6/40 - 27*n. Factor f(u).
-3*u**4*(u - 2)/8
Let n(c) be the third derivative of -c**7/630 - c**6/180 + c**5/60 + c**4/9 + 2*c**3/9 + 26*c**2. Factor n(v).
-(v - 2)*(v + 1)**2*(v + 2)/3
Let s(z) be the first derivative of 0*z**2 + 0*z + 3 + 1/6*z**3. Suppose s(r) = 0. Calculate r.
0
Suppose -r + 5*w = -5*r + 27, 0 = 3*r - 2*w - 3. Let h be -4*(r - (-4)/(-1)). Factor -1/2*c**5 + 1/2*c**3 - 1/2*c**2 + 1/2*c**h + 0 + 0*c.
-c**2*(c - 1)**2*(c + 1)/2
Suppose -9*g + 5*g = 2*h - 8, h - 4 = 0. Factor -4/3*x + 14/3*x**2 - 10/3*x**3 + g.
-2*x*(x - 1)*(5*x - 2)/3
Suppose -4*h + 5*p - p = -8, 0 = -h + 4*p + 8. Factor -2/3*o**3 - 4/3 + h*o**2 + 2*o.
-2*(o - 1)**2*(o + 2)/3
Let v(p) be the second derivative of p**6/30 + p**5/30 - p**4/4 - 2*p**3/3 - 2*p**2/3 + 7*p. Let v(d) = 0. What is d?
-1, -2/3, 2
Let r(g) = -10*g - 147. Let y be r(-15). What is p in 2/15*p**2 - 2/15*p**y + 4/15*p + 0 = 0?
-1, 0, 2
Suppose 2*z - 5*v = 13, -1 + 21 = -5*z + 2*v. Let w(x) = -x - 5*x + 2*x**2 + 14 - 2*x. Let m(h) = -1. Let f(j) = z*m(j) - w(j). Factor f(a).
-2*(a - 2)**2
Let z(m) be the second derivative of 3*m**7/560 + m**6/48 + m**5/40 - m**3/3 + 6*m. Let u(y) be the second derivative of z(y). Solve u(k) = 0.
-1, -2/3, 0
Suppose 0 = -2*t + 3*r + 3, r - 1 = -2*t + 6. Let x be 2/8 - t/(-12). What is o in o**3 + 0 - x*o**4 - o + 1/2*o**2 = 0?
-1, 0, 1, 2
Let u = -198 + 198. Determine w, given that -1/3*w**5 + 0*w**2 + 0*w + u + 0*w**3 - 1/3*w**4 = 0.
-1, 0
Let g(t) be the second derivative of t**6/30 - t**5/10 - t**4/12 + t**3/3 - 42*t. Factor g(w).
w*(w - 2)*(w - 1)*(w + 1)
Let s(x) = 3*x**2 + 3*x + 2. Let w be s(-1). Factor 9/5 - 6/5*d - 3/5*d**w.
-3*(d - 1)*(d + 3)/5
Let a be (13 - 13) + 2/18. Let h(c) be the first derivative of -1/3*c**2 + 3 + 1/6*c**4 + a*c**3 - 1/3*c. Solve h(v) = 0.
-1, -1/2, 1
Let h(u) be the third derivative of 1/12*u**4 + 0*u**3 + 0*u + 0 - 2*u**2 - 1/6*u**5 + 1/15*u**6. Determine g so that h(g) = 0.
0, 1/4, 1
Let z = -49 + 52. Factor 1/4*l**z + 0*l + 1/4*l**2 + 0.
l**2*(l + 1)/4
Let y = 383/22 + -186/11. Find w such that 0*w + 0 + 1/4*w**2 + 1/4*w**4 + y*w**3 = 0.
-1, 0
Let s(t) be the first derivative of 9*t**6/2 - 18*t**5 + 111*t**4/4 - 20*t**3 + 6*t**2 + 3. Determine b so that s(b) = 0.
0, 2/3, 1
Let r(w) be the third derivative of -w**8/1848 + w**7/462 - w**6/330 + w**5/660 + 15*w**2. Factor r(q).
-q**2*(q - 1)**2*(2*q - 1)/11
Let a(g) = 5*g**2 - 5*g - 1. Let w be 16*(-2 - -1)/1. Let m(u) = -26*u**2 + 26*u + 4. Let t(c) = w*a(c) - 3*m(c). Factor t(r).
-2*(r - 2)*(r + 1)
Suppose 0 = -2*l - 2 + 8. Let w be ((-3)/(-1))/(6/4). Determine r, given that 8*r - 3*r**3 + 0*r**2 - 5*r**l + w*r**2 - 2 = 0.
-1, 1/4, 1
Let h(d) be the third derivative of 0 + 1/120*d**4 + 1/300*d**5 + 0*d**3 + 0*d - d**2. Solve h(y) = 0.
-1, 0
Let n = -31 - -36. Find c, given that 0 - 1/4*c**n + 1/4*c - 1/2*c**4 + 1/2*c**2 + 0*c**3 = 0.
-1, 0, 1
Let y(x) be the third derivative of x**7/1155 - x**6/220 + x**5/110 - x**4/132 + 4*x**2. Factor y(j).
2*j*(j - 1)**3/11
Solve 4/3 - f**2 - 1/3*f**3 + 0*f = 0 for f.
-2, 1
Let w(z) be the second derivative of z**6/40 - 3*z**5/80 - z**4/16 + z**3/8 - 8*z. Find b such that w(b) = 0.
-1, 0, 1
Factor -7*g**2 - 14*g**2 + 23*g**2 - 2*g.
2*g*(g - 1)
Let o(g) = -2*g + 41. Let t be o(19). Suppose 2*j = j + 4. Suppose 0 + 4/3*p**t - 2/3*p**j + 0*p - 2/3*p**2 = 0. What is p?
0, 1
Factor 3*y**4 - 3*y + 8*y**3 + 3*y**2 - 5*y**3 - 6*y**4.
-3*y*(y - 1)**2*(y + 1)
Let u(p) be the first derivative of p**4/2 + 2*p**3 - 9*p**2 + 10*p - 24. Factor u(d).
2*(d - 1)**2*(d + 5)
Find t, given that 2/5*t**3 + 0 + 0*t + 3/5*t**2 = 0.
-3/2, 0
Let s(y) be the first derivative of -2*y**3/21 + 2*y**2/7 - 2*y/7 - 35. Factor s(w).
-2*(w - 1)**2/7
Let o(u) be the third derivative of 0*u + 1/36*u**5 - 1/9*u**4 - 4*u**2 + 0 + 2/9*u**3 - 1/360*u**6. Suppose o(y) = 0. Calculate y.
1, 2
Let t = -1 + 1. Suppose -12 = -3*u - 3*x, -5*u - 6*x + 18 = -2*x. Factor -2/7*d**u + 0*d + t.
-2*d**2/7
Let x(g) be the first derivative of 2*g**5/15 - 5*g**4/6 + 2*g**3 - 7*g**2/3 + 4*g/3 + 5. Factor x(f).
2*(f - 2)*(f - 1)**3/3
Suppose -5*v - 15 = -5*i, 3*v - 5 = -11. Let l be 2*i/(-4)*-1. Determine j so that -1/2*j + 1 - l*j**2 = 0.
-2, 1
Let p = -33/2 + 50/3. Let n(w) be the second derivative of -2*w**2 + w - p*w**4 - w**3 + 0. Determine r, given that n(r) = 0.
-2, -1
Suppose 0 = -3*k - 0 + 9, 18 = 5*m + k. Let f(i) be the second derivative of 0 - 1/12*i**4 + 0*i**2 - i - 1/6*i**m. Solve f(t) = 0.
-1, 0
Let r = -1132/7 - -162. Let l be (-72)/84 - (2 + -2 + -2). Solve 8/7*k - l - r*k**2 = 0.
2
Factor -1/5*z**5 - 38/5*z**2 - 8/5 - 28/5*z - 5*z**3 - 8/5*z**4.
-(z + 1)**2*(z + 2)**3/5
Let p(z) = 9*z**4 - 5*z**3 - 17*z**2 - 13*z + 5. Let q(o) = -4*o**4 + 2*o**3 + 8*o**2 + 6*o - 2. Let m(i) = 2*p(i) + 5*q(i). Let m(g) = 0. What is g?
-1, 0, 2
Let z be 1/16*-42*4/(-3). Factor 0*n + 0 + z*n**4 - 5/2*n**3 - n**2.
n**2*(n - 1)*(7*n + 2)/2
Let l(h) = -2*h - 8. Let j be l(-6). Let r(z) = 2*z - 6. Let n be r(j). Factor d**2 - 5*d**3 + d**3 + d**2 + n*d**3.
-2*d**2*(d - 1)
Let q = 5 + -2. Let z be (q/(-6))/((-5)/2). Factor -z*j + 1/5*j**2 + 0.
j*(j - 1)/5
Let f(b) be the second derivative of b**6/540 + b**5/60 + 5*b**3/6 - 6*b. Let k(d) be the second derivative of f(d). Determine n, given that k(n) = 0.
-3, 0
Let u(c) be the third derivative of c**6/40 - 7*c**5/20 + c**4 + 8*c**3 + 4*c**2 + c. Suppose u(j) = 0. Calculate j.
-1, 4
Let l(g) be the first derivative of 0*g**2 + 0*g + 3*g**4 - 3/5*g**5 - 4*g**3 + 2. Factor l(f).
-3*f**2*(f - 2)**2
Let p = -1349/5 + 271. Factor 0 + p*a**5 - 4*a**4 + 2/5*a + 24/5*a**3 - 12/5*a**2.
2*a*(a - 1)**3*(3*a - 1)/5
Let s(d) be the second derivative of 2*d**7/189 - 2*d**6/135 - 2*d**5/15 - 2*d**4/27 + 10*d**3/27 + 2*d**2/3 + 27*d - 2. Factor s(k).
4*(k - 3)*(k - 1)*(k + 1)**3/9
Let y = 1 - -1. Let b be (4 - 3)/(y/6). Factor -b*g**3 + 0*g**3 + g**3.
-2*g**3
Let s(b) = -4*b**2 + 8*b - 3. Let l(f) = -21*f**2 - 8*f**2 + 88*f + 5*f**2 - 32 - 20*f**2. Let z(m) = 3*l(m) - 32*s(m). Factor z(g).
-4*g*(g - 2)
Determine g so that -8/3*g**3 - 14/3*g**2 - 4/3*g + 2/3 = 0.
-1, 1/4
Let c be 38/(0 - (-2)/(-1)). Let j be c/(-39) + (-36)/234. Suppose -j*i + 1/3*i**3 + 1/3*i**2 - 1/3 = 0. Calculate i.
-1, 1
Let r(k) be the second derivative of -1/2*k**3 - k**2 + k + 0 - 1/12*k**4. Determine a, given that r(a) = 0.
-2, -1
Suppose 2*v = -3*v. Factor v*r**2 - 3*r**2 - 6*r + 6*r**2.
3*r*(r - 2)
Let d(m) = -m + 4. Let g be d(4). Suppose 5*u - 5*i + 25 = g, -u + 25 = -3*u + 5*i. Factor -2/3*x**2 + 0*x + u + 2/3*x**3.
2*x**2*(x - 1)/3
Suppose 31 = -4*j + 11. Let w(o) = -o**2 - 4*o + 7. Let g be w(j). Solve -i**2 + i**g - 2 + 2*i**2 = 0 for i.
-1, 1
Suppose 13 - 9 = y. Suppose -2/9*j + 0 + 2/9*j**3 + 2/9*j**2 - 2/9*j**y = 0. Calculate j.
-1, 0, 1
Suppose 2*a + 2*a - 4*a - 3*a**2 - 3*a**3 = 0. Calculate a.
-1, 0
Find r, given that 0*r**3 - 1/3*r + 2/3*r**2 + 0 - 2/3*r**4 + 1/3*r**5 = 0.
-1, 0, 1
Let z(d) = d**2 - 7. Let f be z(-3). Let -2*h**3 + 0 + 0*h - 4/7*h**f = 0. What is 