**4/42 - 5*y. What is m in k(m) = 0?
0, 1
Let v = 2 - 0. Factor 2*d - v*d**2 + 2*d**3 + 0*d**2 + 0*d**2 - 2*d**2.
2*d*(d - 1)**2
Let b(f) be the second derivative of f**5/20 - 2*f**4/3 + f**2 - f. Let k be b(8). Factor 0*j**2 - 3*j**k - 4 - 6*j + j**2.
-2*(j + 1)*(j + 2)
Let u = -157496/31 - -5081. Let p = 199/155 - u. Let p*f - 4/5*f**3 + 2/5*f**4 + 0*f**2 - 2/5 = 0. What is f?
-1, 1
Let c(f) = -6 + 3*f**2 - 10*f + 3 + 19. Let j(r) = -4*r**2 + 11*r - 16. Let w(y) = 6*c(y) + 4*j(y). Factor w(o).
2*(o - 4)**2
Suppose 3*x - 1 = 8. Suppose x = -3*p + 9. Factor p*v**2 - 2*v**3 - 4*v**2 + 0*v**3.
-2*v**2*(v + 1)
Let s(k) be the third derivative of k**8/5040 + k**7/840 + k**6/360 + k**5/360 + k**3/3 + 3*k**2. Let w(p) be the first derivative of s(p). Factor w(u).
u*(u + 1)**3/3
Factor -16/3*t**3 - 16*t + 6 + 2/3*t**4 + 44/3*t**2.
2*(t - 3)**2*(t - 1)**2/3
Let w(f) be the first derivative of 4/9*f**3 + 0*f - 2 - 7/6*f**4 + 0*f**2. Find b, given that w(b) = 0.
0, 2/7
Let j(f) = -57*f**2 + 48*f - 24. Let w(p) = 7*p**2 - 6*p + 3. Let g(u) = -4*j(u) - 33*w(u). Factor g(n).
-3*(n - 1)**2
Let h be 8/3*30/8. What is m in 28*m**4 - 4*m**2 - 8*m**4 + h*m**4 + m**4 - 8*m**3 + 35*m**5 = 0?
-1, -2/7, 0, 2/5
Let d = 3 + -11. Let w be (66/(-77))/(d/14). Solve w*t**3 + 0 + 1/2*t**4 + 3/2*t**2 + 1/2*t = 0 for t.
-1, 0
Factor 0*f**2 + 0 - 1/3*f**3 + 0*f.
-f**3/3
Let m(g) = -2*g**2 - 15*g - 16. Let i be m(-6). Find o, given that 0 - 2/3*o**i - 1/3*o = 0.
-1/2, 0
Let g = 236/3 + -77. Factor 1/3*s**2 + 2/3 - 2/3*s**3 + g*s.
-(s - 2)*(s + 1)*(2*s + 1)/3
Let o(t) be the second derivative of t**5/20 - t**4/8 - t**3 - 3*t**2/2 + 2*t. Let p(n) be the first derivative of o(n). Factor p(m).
3*(m - 2)*(m + 1)
Factor 21 + 2*q**2 + 2*q**2 - 24*q + 5 + 10.
4*(q - 3)**2
Let y(x) be the second derivative of x**6/15 - x**4/6 - 2*x. Factor y(s).
2*s**2*(s - 1)*(s + 1)
Solve -3*t**2 + 0 - 12/5*t**3 - 3/5*t**4 - 6/5*t = 0 for t.
-2, -1, 0
Let -2/9*f**2 - 8/9*f - 8/9 = 0. What is f?
-2
Let b(h) be the second derivative of h**7/126 - 2*h**6/45 + h**5/12 - h**4/18 + 7*h. Factor b(o).
o**2*(o - 2)*(o - 1)**2/3
Let -3 - 2*b - 1/3*b**2 = 0. What is b?
-3
Let p(g) be the third derivative of g**10/40320 - g**8/4480 + g**6/960 + g**4/6 - 2*g**2. Let k(j) be the second derivative of p(j). Factor k(o).
3*o*(o - 1)**2*(o + 1)**2/4
Let z(d) be the third derivative of d**6/40 - d**5/6 + d**4/6 + 4*d**3/3 + 4*d**2. Suppose z(h) = 0. What is h?
-2/3, 2
Solve -2*f**4 + 0*f + 0 - 2/3*f**5 - 2/3*f**2 - 2*f**3 = 0.
-1, 0
Let v = 122 - 122. Let u(h) be the second derivative of 0 - 4*h - 1/4*h**3 - 5/16*h**4 - 9/80*h**5 + v*h**2. Factor u(p).
-3*p*(p + 1)*(3*p + 2)/4
Let i(k) be the third derivative of k**7/70 + k**6/8 - k**5/20 - 5*k**4/8 + 2*k**2 - 2*k. Factor i(o).
3*o*(o - 1)*(o + 1)*(o + 5)
Let c(j) be the first derivative of 2/9*j**3 + 2/9*j**2 + 0*j - 1 + 1/18*j**4. Factor c(f).
2*f*(f + 1)*(f + 2)/9
Let s(u) be the second derivative of -2*u**6/15 + 2*u**5/5 + u**4/3 - 4*u**3/3 - 4*u. Find h such that s(h) = 0.
-1, 0, 1, 2
Let h(y) be the second derivative of y**2/2 + 2*y. Let s(q) = q**2 + 3*q. Let g(u) = 2*h(u) + s(u). What is z in g(z) = 0?
-2, -1
Let l = 123 - 849/7. Factor 8/7*x**3 + 2/7*x**4 + l*x**2 + 2/7 + 8/7*x.
2*(x + 1)**4/7
Let q(r) be the third derivative of -1/315*r**7 + 0*r + 1/36*r**6 + 4*r**2 - 2/9*r**3 - 1/10*r**5 + 0 + 7/36*r**4. Factor q(f).
-2*(f - 2)*(f - 1)**3/3
Let o(w) be the first derivative of w**3/9 - 6*w**2 + 108*w - 48. Suppose o(l) = 0. What is l?
18
Let a(q) be the third derivative of -q**6/160 - q**5/20 - 3*q**4/32 + 9*q**2. Determine n so that a(n) = 0.
-3, -1, 0
Let o be (-12 + 4 + -2)/((-16)/8). Let g(l) be the third derivative of 1/90*l**o + 0 + 0*l + 1/9*l**4 + 4/9*l**3 + 3*l**2. Factor g(c).
2*(c + 2)**2/3
Let a(m) be the first derivative of 2*m**5 - 7*m**4/2 - 16*m**3/3 + 4*m**2 - 8. Factor a(s).
2*s*(s - 2)*(s + 1)*(5*s - 2)
Let x(o) = o**2 + 1. Let j(g) = 16*g**2 + 26. Let b(k) = -2*j(k) + 36*x(k). Factor b(y).
4*(y - 2)*(y + 2)
Suppose -i = 2*i. Let t = 464/687 - 2/229. Let 2/3*m + 0*m**2 - t*m**3 + i = 0. Calculate m.
-1, 0, 1
Let l(d) be the second derivative of -d**6/10 - 3*d**5/5 - d**4 - 32*d. Factor l(g).
-3*g**2*(g + 2)**2
Let b(l) be the first derivative of l**7/2100 + l**6/225 + l**5/75 - 4*l**3/3 + 4. Let s(i) be the third derivative of b(i). Suppose s(r) = 0. What is r?
-2, 0
Determine b so that -1/3*b + 2/3 - 1/3*b**2 = 0.
-2, 1
Let p(r) = -r**2 - 6*r + 3. Let k be p(-5). Suppose l + 4 - k = 0. Suppose -9/4*u**3 + 27/4*u**l + 3*u - 6*u**2 + 0 = 0. What is u?
-1, 0, 2/3
Suppose -2*b - 4 = -0*b. Let x be (b/(-3))/((-1)/(-3)). Factor -2/3 + 4/3*j - 2/3*j**x.
-2*(j - 1)**2/3
Let x(t) = t**5 + t**3 - 1. Let j(y) = -5*y**5 - 6*y**4 - 7*y**3 + 3. Let m(n) = j(n) + 3*x(n). Factor m(i).
-2*i**3*(i + 1)*(i + 2)
Let n(q) = q - 1. Let d be n(4). Let 11*s**d - 20*s**3 + 6*s**3 + 3*s**5 = 0. Calculate s.
-1, 0, 1
Find w, given that 70*w**2 - 6*w**4 + 154*w**4 - 32*w + 106*w**2 - 21*w**5 - 264*w**3 - 7*w**5 = 0.
0, 2/7, 1, 2
Suppose p = 5*b - 3*p - 35, 0 = b + 3*p + 12. Suppose 8*f - 20 = b*f. Let -2*o - 5*o**5 + o + 4*o**4 + 4*o**2 + f*o**5 - 6*o**3 = 0. Calculate o.
0, 1
Let v(i) = -i**3 - 2*i**2 + 3. Let q be v(-3). Suppose 0*k**2 + 8*k**4 - 4*k**2 + 2*k**5 + 2*k + q*k**3 + 0*k + 12*k**2 = 0. What is k?
-1, 0
Let q(f) be the second derivative of -f**6/120 + f**5/20 - f**4/12 - f. Determine r, given that q(r) = 0.
0, 2
Let h(f) be the second derivative of f**4/9 + 4*f**3/3 + 6*f**2 - 2*f - 3. Factor h(b).
4*(b + 3)**2/3
Let r(u) be the first derivative of u**4/12 - u**2/6 - 12. Suppose r(f) = 0. What is f?
-1, 0, 1
Let x(q) = -q**3 + q**2 + q + 2. Let i be x(2). Suppose -3*t - h - 1 = h, 2*t + h - 1 = i. Factor 2/3*o**t - 2/3*o + 2/3*o**4 + 0 - 2/3*o**2.
2*o*(o - 1)*(o + 1)**2/3
Let u(f) = f**2 + 7*f + 8. Let h be u(-6). Factor 2*z**2 - 4*z**2 + 3*z**h.
z**2
Let t(s) be the third derivative of s**7/140 + s**6/16 + 9*s**5/40 + 7*s**4/16 + s**3/2 + 2*s**2. Factor t(x).
3*(x + 1)**3*(x + 2)/2
Let v(u) be the second derivative of -u**4/72 + 2*u**3/9 - 4*u**2/3 + 12*u. Suppose v(w) = 0. What is w?
4
Find h such that 0 + 0*h**2 + 0*h + 3/4*h**3 + 3/4*h**4 = 0.
-1, 0
Factor s**2 + 0*s + 3/4*s**4 + 2*s**3 + 0.
s**2*(s + 2)*(3*s + 2)/4
Let b(u) be the second derivative of 2*u**7/63 + 7*u**6/45 + u**5/10 - 4*u**4/9 - 4*u**3/9 + 7*u. Suppose b(z) = 0. Calculate z.
-2, -1/2, 0, 1
Let b(l) be the first derivative of l**6/3 + 8*l**5/5 + 5*l**4/2 + 4*l**3/3 + 15. Factor b(d).
2*d**2*(d + 1)**2*(d + 2)
Let o(y) be the first derivative of -y**6/6 - y**5/5 + y**4/2 + 2*y**3/3 - y**2/2 - y - 1. Factor o(v).
-(v - 1)**2*(v + 1)**3
Let d(l) be the first derivative of 0*l + 4/3*l**3 - 5/2*l**4 - 1 + 0*l**2. Find q such that d(q) = 0.
0, 2/5
Let q(t) = 3*t**3 + 9*t**2 + 17*t + 5. Let s(o) = -o**3 - 3*o**2 - 6*o - 2. Let j(d) = 6*q(d) + 17*s(d). Let j(y) = 0. What is y?
-2, 1
What is h in 24/5 + 14/5*h**2 + 2/5*h**3 + 32/5*h = 0?
-3, -2
Factor 135*d**2 + 202*d**3 + 12 + 213*d**3 - 96*d - 172*d**3.
3*(d + 1)*(9*d - 2)**2
Let k be (12/(-9))/(16/(-24)). Let g(j) be the third derivative of 0*j**3 + k*j**2 + 0 + 1/315*j**7 + 0*j + 1/90*j**5 + 0*j**4 + 1/90*j**6. Factor g(b).
2*b**2*(b + 1)**2/3
Let q = -174 + 1568/9. Let s = 5/18 + q. Factor h + 0*h**2 - s - h**3 + 1/2*h**4.
(h - 1)**3*(h + 1)/2
Factor 16 - 4*k**2 + 3*k**2 - 16*k - 2*k**3 + 13*k**2 - 8*k.
-2*(k - 2)**3
Let d(w) = 2*w - 8. Let q(z) = -z + 18. Let m be q(12). Let o be d(m). Let 3*c**3 - 9*c**3 + 3*c**2 + 2*c**o + c**4 = 0. What is c?
0, 1
Suppose 2*n - 1 = -m, 3*n - 23 = -n + 5*m. Factor n*d**4 + 4*d**4 - 5*d**4 + d**3.
d**3*(d + 1)
Let m(p) = -2*p + 4. Let r(j) = -j. Let i(k) = -m(k) + 3*r(k). Let y be i(-9). Find u, given that 3*u**3 - 3 + 6*u**2 + 0*u**2 - 5 - y*u**3 = 0.
-1, 2
Let x(o) be the second derivative of o**7/126 - o**6/30 + o**5/30 + o**4/18 - o**3/6 + o**2/6 - 2*o. Factor x(n).
(n - 1)**4*(n + 1)/3
Let l(f) = 9*f**3 + 12*f**2 - 9*f - 3. Let v be (-105)/(-33) - (-2)/(-11). Let t(p) = -8*p**3 - 13*p**2 + 9*p + 2. Let m(i) = v*t(i) + 2*l(i). Factor m(x).
-3*x*(x + 3)*(2*x - 1)
Let y(s) be the second derivative of 0 - 1/3*s**3 + 3/14*s**4 - 2*s - 2/7*s**2. Solve y(z) = 0.
-2/9, 1
Suppose -2*r + 4*y - 14 = 0,