e b, given that -1/2*b**2 + 0 + 0*b**4 + s*b - 1/4*b**5 + 3/4*b**3 = 0.
-2, 0, 1
Find y such that 4*y - 2*y**2 + 3*y**2 + 4*y + 6*y**2 - 6*y**2 = 0.
-8, 0
What is o in 258*o + 5*o**2 + 40 - 135*o - 153*o = 0?
2, 4
Let h(r) be the second derivative of 1/6*r**4 + 0*r**5 - 1/45*r**6 + 2/9*r**3 - 11*r + 0 + 0*r**2. Let h(a) = 0. What is a?
-1, 0, 2
Let y(s) = -5*s**5 - 16*s**4 + 10*s**2 - s. Suppose 2 = -4*t - d - 4, 3*d = -6. Let x(w) = -w**4 - w. Let o(g) = t*y(g) + 6*x(g). Solve o(l) = 0 for l.
-1, 0, 1
Determine u, given that 34/9*u**2 + 0 + 2/3*u - 8/9*u**5 + 14/3*u**3 + 2/3*u**4 = 0.
-1, -1/4, 0, 3
Suppose -3*n + 1 + 323 = 0. Factor -n - 1108*k**2 + 108*k + 4*k**3 + 0*k + 1072*k**2.
4*(k - 3)**3
Suppose h = 4*h - 1248. Let b be 3/((-42)/4) - h/(-280). Suppose -2/5 - b*a - 2/5*a**3 - 6/5*a**2 = 0. What is a?
-1
Let y = -1435 + 1440. Let f(b) be the first derivative of 10*b**2 + 3*b**4 + 8*b**3 + 6*b - 5 + 2/5*b**y. Factor f(m).
2*(m + 1)**3*(m + 3)
Let b(j) be the second derivative of j**5/90 + 7*j**4/72 + j**3/6 - 17*j**2 - 42*j. Let p(f) be the first derivative of b(f). Factor p(h).
(h + 3)*(2*h + 1)/3
Let m(k) be the second derivative of -k**4/15 - 14*k**3/15 + 12*k**2 - 9*k - 13. Find g, given that m(g) = 0.
-10, 3
Let q(k) be the second derivative of -2*k**7/21 - 2*k**6/5 + 7*k**5/5 + 7*k**4/3 - 12*k**3 + 16*k**2 - 4*k - 23. Factor q(h).
-4*(h - 1)**3*(h + 2)*(h + 4)
Solve 45 + 49*h + 53*h - 6*h + 2*h**2 + 49 = 0.
-47, -1
Suppose -12 + 84 = 12*x. Let t be (-4)/x*18/(-33). Factor 2/11*j**2 - t*j - 6/11.
2*(j - 3)*(j + 1)/11
Let f(v) be the first derivative of -6/11*v + 8/33*v**3 - v**2 + 54. Determine s, given that f(s) = 0.
-1/4, 3
Let s(d) = 6*d**3 - 2*d**2 - 37*d + 91. Let o(h) = -h**3 + h + 1. Let t(v) = 15*o(v) + 3*s(v). Factor t(x).
3*(x - 4)**2*(x + 6)
Let c(r) = 7*r - 320. Let k be c(46). Let l(n) be the third derivative of -1/600*n**6 + 0*n**5 - 2*n**k + 0 + 0*n + 1/350*n**7 + 0*n**4 + 0*n**3. Factor l(f).
f**3*(3*f - 1)/5
Suppose -7/6*g**3 + 0 + g + 1/6*g**5 - 5/6*g**2 + 5/6*g**4 = 0. Calculate g.
-6, -1, 0, 1
Let d be 1/(-8) - -34*(-8)/(-128). Let s(p) be the first derivative of -1/6*p**3 - 1/2*p - 1/2*p**2 - d. Factor s(y).
-(y + 1)**2/2
Let w(j) be the second derivative of -j**6/6 - 3*j**5/2 + 35*j**4/12 + 2*j + 72. Factor w(z).
-5*z**2*(z - 1)*(z + 7)
Suppose 16 = 5*r + 3*v, 2*v = -5*r + 12 + 2. Find o such that -3*o**2 - 5*o**3 + 18*o**3 + r*o**3 - 7*o**2 - 5*o = 0.
-1/3, 0, 1
Suppose -5*c = -2*c + 9. Let r be (-182)/(-112) - c/8. Factor -4/17*i**3 + 0 + 2/17*i + 0*i**r + 0*i**4 + 2/17*i**5.
2*i*(i - 1)**2*(i + 1)**2/17
Let s(j) be the third derivative of 0*j - 1/120*j**6 - 1/630*j**7 + 0*j**5 + 0 + 11*j**2 + 0*j**4 + 0*j**3. Solve s(y) = 0.
-3, 0
Let z(j) be the second derivative of j**8/13440 + j**7/1680 + 4*j**3/3 + j**2 - j - 7. Let v(n) be the second derivative of z(n). Factor v(r).
r**3*(r + 4)/8
Suppose -5*k + 0*k = 4*j - 88, 12 = -4*j. Factor -5*m**3 + 4*m - 25*m**2 - 19*m + m - 26*m - k.
-5*(m + 1)*(m + 2)**2
Let y(g) = 6*g**3 + 1548*g**2 - 49140*g - 50682. Let w(u) = -u**3 - 387*u**2 + 12285*u + 12671. Let p(d) = -9*w(d) - 2*y(d). Determine i, given that p(i) = 0.
-1, 65
Let n(h) be the second derivative of 0*h**2 + 1/357*h**7 + 5/102*h**4 - 2/51*h**3 - 3/170*h**5 + 0 - 10*h - 1/255*h**6. Find s such that n(s) = 0.
-2, 0, 1
Let z(q) be the second derivative of -4/3*q**3 + 1/6*q**4 + 0 + 3*q + 3*q**2. Find o, given that z(o) = 0.
1, 3
Let q(a) = 123*a**2 + 416*a + 368. Let g(v) = -62*v**2 - 208*v - 181. Let x(b) = -5*g(b) - 2*q(b). Factor x(o).
(8*o + 13)**2
Let r(q) be the first derivative of 2*q**4/13 + 70*q**3/39 + 23*q**2/13 - 16*q/13 - 31. Let r(k) = 0. Calculate k.
-8, -1, 1/4
Let m = -50216 + 50218. Suppose -16/5*l**3 - 44/5*l - 16/5 - 2/5*l**4 - 42/5*l**m = 0. What is l?
-4, -2, -1
Let t(i) be the third derivative of i**5/140 - 37*i**4/28 - 316*i**2. Find y, given that t(y) = 0.
0, 74
Let g(n) be the first derivative of 27*n**7/2660 + n**6/76 - 8*n**5/285 + n**4/57 + 10*n**3/3 + 12. Let k(y) be the third derivative of g(y). Factor k(t).
2*(t + 1)*(9*t - 2)**2/19
Let p = -30869/70 - -441. Let x(d) be the second derivative of -1/210*d**6 + 3*d - 1/84*d**4 + p*d**5 + 0*d**2 + 0*d**3 + 0. Factor x(m).
-m**2*(m - 1)**2/7
Suppose 19*z - 3 = -3. Let b(y) be the second derivative of -7/48*y**4 + z + 3/8*y**3 - 1/4*y**2 + 3*y. Factor b(f).
-(f - 1)*(7*f - 2)/4
Let p = 35 - 33. Suppose -13*j + 30 = -3*j. Factor -1/3*g + 1/3*g**j + 2/3 - 2/3*g**p.
(g - 2)*(g - 1)*(g + 1)/3
Let q(a) = a**2 - 3*a + 5. Let w be q(0). Factor -2552/3*k**3 - 32/3 - 1331/3*k**w - 496/3*k + 4598/3*k**4 - 2384/3*k**2.
-(k - 2)**2*(11*k + 2)**3/3
Let h(g) be the first derivative of -g**5/5 + 13*g**4/12 - g**3/9 - 13*g**2/6 + 4*g/3 + 23. Determine j, given that h(j) = 0.
-1, 1/3, 1, 4
Let k = 4 - 2. Let x be (-34)/10 - k/(-5). Let p(j) = -j**3 - 2*j**2 - 3. Let v(l) = -2*l**3 - 3*l**2 - 5. Let d(z) = x*v(z) + 5*p(z). Factor d(w).
w**2*(w - 1)
Let b(a) = a**2 - 6*a - 12. Let c be b(8). Suppose 0 = -0*f - c*f. Factor -1/2*o**3 + f + 1/2*o + 1/2*o**2 - 1/2*o**4.
-o*(o - 1)*(o + 1)**2/2
Let b = -48158 + 144502/3. Find k, given that -2/3*k**3 - b*k**2 + 0 - 98/3*k = 0.
-7, 0
Let u(o) = o + 5 + 20*o - o**2 - 2*o**3 - 11*o**4 + 1 - 7*o**3. Let m(g) = 10*g**4 + 10*g**3 - 20*g - 5. Let v(b) = 6*m(b) + 5*u(b). Solve v(r) = 0 for r.
-3, -1, 0, 1
Suppose -16 = -5*s + 3*x - 19, x - 1 = -2*s. Let f(w) be the third derivative of 9*w**2 + 1/330*w**5 + s*w**3 + 1/132*w**4 + 0 + 0*w. What is u in f(u) = 0?
-1, 0
Let k = -167 + 167. Let x(h) be the second derivative of -1/50*h**5 + 1/6*h**4 - 8/15*h**3 + 10*h + k + 4/5*h**2. Factor x(s).
-2*(s - 2)**2*(s - 1)/5
Let h be (2 + -12)*-1*(-7)/(-35). Let c(z) be the first derivative of 0*z - 8 - 1/24*z**4 - 2/9*z**3 + 2/15*z**5 + 1/12*z**h. Factor c(b).
b*(b - 1)*(b + 1)*(4*b - 1)/6
Let h(z) = -z**3 + 14*z**2 + 479*z - 13. Let t be h(-16). Factor -2/15*u**4 - 16/5*u**t - 1024/15*u + 0 - 128/5*u**2.
-2*u*(u + 8)**3/15
Factor -6*j + 2/7*j**2 + 0.
2*j*(j - 21)/7
What is h in h**3 + 8 + 0*h**5 + 0*h**4 + 2*h**5 - 14*h**2 - 3*h**3 + h**4 + 5*h**4 = 0?
-2, -1, 1
Let t(l) be the first derivative of -3*l**4/16 + 357*l**3/4 - 12015*l**2 + 23763*l + 581. Factor t(g).
-3*(g - 178)**2*(g - 1)/4
Solve -2/5*q**3 + 2/5*q + 88/5*q**2 - 88/5 = 0.
-1, 1, 44
Let k(o) be the second derivative of -5*o**4/12 + 25*o**3/3 - 45*o**2/2 - 28*o - 7. Let k(m) = 0. What is m?
1, 9
Suppose 0 = 173*d - 261 - 85. Solve m - 4/5*m**d + 1/5*m**3 - 2/5 = 0.
1, 2
Let l = -12 + 7. Let f(d) = -d**3 + 23*d**2 - 23*d + 6. Let p(x) = -12*x**2 + 12*x - 3. Let b(o) = l*p(o) - 3*f(o). Factor b(k).
3*(k - 1)**3
Let l = -25/123 - -4553/615. Factor 3/5*k**3 + 144/5*k + 192/5 + l*k**2.
3*(k + 4)**3/5
Let j be (45 - 29) + -11 + -1*(0 - -2). Factor 0 + 0*g**4 - 2/5*g**5 - 2/5*g + 0*g**2 + 4/5*g**j.
-2*g*(g - 1)**2*(g + 1)**2/5
Let l(f) = -f**3 + f**2 - f. Let w(h) = -h**4 - 3*h**3 + 4*h**2 - 5*h. Let c(s) = 5*l(s) - w(s). Factor c(i).
i**2*(i - 1)**2
Let t(d) be the second derivative of -25*d**7/189 - 17*d**6/27 + 23*d**5/30 + 37*d**4/54 + 4*d**3/27 - d + 2. Determine q so that t(q) = 0.
-4, -1/5, 0, 1
Let o(y) be the third derivative of -1/60*y**6 + 0*y**3 + 0 + 0*y + 1/6*y**4 - 28*y**2 + 1/30*y**5. Factor o(s).
-2*s*(s - 2)*(s + 1)
Let i(p) be the first derivative of p**6/2 + 6*p**5/5 - 3*p**4/2 - 4*p**3 + 3*p**2/2 + 6*p - 25. Find k such that i(k) = 0.
-2, -1, 1
Let m = -33771/5 + 6755. Factor 0*c + 0 - m*c**5 + 28/5*c**4 - 24/5*c**3 + 0*c**2.
-4*c**3*(c - 6)*(c - 1)/5
Let q(p) be the first derivative of -13 + 0*p**2 - 1/12*p**6 + 0*p + 0*p**4 + 3/10*p**5 - 2/3*p**3. Factor q(r).
-r**2*(r - 2)**2*(r + 1)/2
Let q(o) be the third derivative of o**8/224 + 3*o**7/280 - o**5/80 - 250*o**2. Factor q(m).
3*m**2*(m + 1)**2*(2*m - 1)/4
Let z(t) be the third derivative of -t**6/30 - t**5/15 + 2*t**4 - 2*t**2 + 50. Factor z(i).
-4*i*(i - 3)*(i + 4)
Let n(d) be the second derivative of -d**7/21 + d**6/10 + 3*d**5/20 - d**4/6 - 122*d. Let n(k) = 0. Calculate k.
-1, 0, 1/2, 2
Let t(m) be the first derivative of -m**3/9 + 7*m**2 + 43*m/3 - 380. Factor t(d).
-(d - 43)*(d + 1)/3
Let b(d) = -d**4 + d**3 + d**2 - d. Let l(o) = 20*o**4 - 234*o**3 + 464*o**2 - 306*o + 56. Let i(w) = 