o**4/14 - 10*o**3/21 + 22*o**2/7 - 32*o/7 + 341. What is n in t(n) = 0?
-8, 1, 2
Suppose 12 + 14*i - 19*i**2 + i**4 + 5/2*i**3 = 0. Calculate i.
-6, -1/2, 2
Let n be (-5 + 198/42)*(-1951)/(-2). Let k = 279 + n. Determine q, given that 2/7*q + 0*q**2 + 0 - k*q**3 = 0.
-1, 0, 1
Suppose 2*z + 20 = -5*p, 2*p + 531 = -2*z + 523. Factor -1/4*s**3 + z + 0*s - 1/4*s**2.
-s**2*(s + 1)/4
Let m(a) be the first derivative of 2*a**5/25 + 2*a**4/5 + 2*a**3/5 - 4*a**2/5 - 8*a/5 - 80. Factor m(x).
2*(x - 1)*(x + 1)*(x + 2)**2/5
Let v = 1799/10830 - -1/1805. Factor -1/6*l**2 + v + 0*l.
-(l - 1)*(l + 1)/6
Let z be 4 + 1*(-794)/210. Let r = z + 1/15. Let r*x**2 + 18/7 + 12/7*x = 0. Calculate x.
-3
Suppose -19360 - 249*z**2 - 5*z**3 - 10560*z - 195*z**2 - 6*z**2 = 0. Calculate z.
-44, -2
Let l(m) = 3*m**2 + 254*m + 15378. Let k(v) = 13*v**2 + 1019*v + 61513. Let j(p) = -4*k(p) + 18*l(p). Factor j(i).
2*(i + 124)**2
Let w(f) be the third derivative of -f**7/210 - 3*f**6/10 - 16*f**5/5 - 46*f**4/3 - 40*f**3 - 295*f**2. Factor w(j).
-(j + 2)**3*(j + 30)
Suppose -3*g - 19 = -x, 2*x + 0*x = -g + 17. Let z be 1 + -2 + 15/x. Factor 15/4*l + 2*l**5 - 43/4*l**2 + 29/2*l**3 - z - 9*l**4.
(l - 2)*(l - 1)*(2*l - 1)**3/4
Let l = 16472/15 - 1098. Factor 8/15*f + l*f**2 + 2/5.
2*(f + 1)*(f + 3)/15
Let p = -54 - -56. Factor -11 + 7 + 2*l**2 - l**p.
(l - 2)*(l + 2)
Let u = -262 - -268. Let k(b) be the third derivative of 0 + 1/35*b**7 + b**2 + 0*b**4 + 0*b**3 + 1/20*b**u + 1/30*b**5 + 0*b + 1/168*b**8. Factor k(o).
2*o**2*(o + 1)**3
Suppose -i - 4*i = 0. Let f(t) = t**2 - 262*t + 16905. Let k be f(115). Solve i*y + 2/3*y**2 + k = 0.
0
Suppose -2*r - 28 = 32. Let o be (24/(-20))/6 + (-16)/r. Solve 0 - 1/3*g**2 - o*g = 0.
-1, 0
Let c(a) be the third derivative of 0*a - 1/15*a**5 + 0 - 1/60*a**6 - 1/12*a**4 + 0*a**3 + 36*a**2. Factor c(l).
-2*l*(l + 1)**2
Let w(n) be the first derivative of -2*n**3/9 - 16*n**2/3 - 70. Solve w(i) = 0 for i.
-16, 0
Let g(i) be the second derivative of i**5/8 + 5*i**4/8 + 73*i. Determine r so that g(r) = 0.
-3, 0
Suppose t - 4 = -3*s, s + 8 = 28*t - 26*t. Factor -3/2*v**5 + 0 + 0*v**3 + 0*v + 3/2*v**4 + s*v**2.
-3*v**4*(v - 1)/2
Let n be (1687/385 - (-2)/(-11)) + 367/(-1835). Factor 0*j - 8/7*j**2 - 2/7*j**n + 10/7*j**3 + 0.
-2*j**2*(j - 4)*(j - 1)/7
Let f be -3 + ((-56)/32)/((-5)/10). Determine i, given that 1/2*i**2 + 0 - 1/2*i**4 - f*i**3 + 1/2*i = 0.
-1, 0, 1
Suppose 16*w - 6*w**3 - 16*w**2 - 6*w**4 - 5*w**3 + 18*w**4 - 9*w**3 = 0. Calculate w.
-1, 0, 2/3, 2
Factor -2/7*k**2 + 20/7*k - 50/7.
-2*(k - 5)**2/7
Factor 0*y - 25/6*y**3 + 2*y**2 + 7/3*y**4 - 1/6*y**5 + 0.
-y**2*(y - 12)*(y - 1)**2/6
Let x = -141 + 143. Suppose 10 = -2*o + 4*i, 3*o + 0*i - 21 = -3*i. Solve -3*y**3 - y**4 + x*y**o + 0*y**4 - 2*y**4 = 0.
-1/3, 0
Let h(g) = -4*g**2 + 11*g + 29. Let a be h(-4). Let s = a - -79. Determine w, given that 3/2*w**2 + 0 - 3/2*w**3 + s*w = 0.
0, 1
Let x = 31 - 12. Suppose -6*m = 427 - x. Let u(p) = p**2 - 8*p - 6. Let b(z) = 12*z**2 - 88*z - 66. Let y(n) = m*u(n) + 6*b(n). Factor y(q).
4*(q + 1)*(q + 3)
Solve 6*u**3 + 0*u**4 - 400*u - 261*u**2 - 2*u**4 - 147*u**2 - 114*u**3 = 0 for u.
-50, -2, 0
Let z(t) be the second derivative of 2*t**6/3 - 228*t**5/5 - 92*t**4/3 - 4*t + 6. Determine j so that z(j) = 0.
-2/5, 0, 46
Let f(o) = 7*o - 3. Let i be f(1). Factor 14*h**2 + 6*h**i - 6*h - 10*h**3 + 0*h**4 - 5*h**4 + h**4.
2*h*(h - 3)*(h - 1)**2
Factor 2/3*u**3 - 11/3*u**2 + 1/3*u**4 - 4*u + 0.
u*(u - 3)*(u + 1)*(u + 4)/3
Factor 9*r - 15*r**3 + 5500*r**4 + 3*r**2 + 6*r - 5503*r**4.
-3*r*(r - 1)*(r + 1)*(r + 5)
Let q(n) be the first derivative of -n**3/3 - 15*n**2/2 + 16*n - 83. Factor q(l).
-(l - 1)*(l + 16)
Let c(j) = 16*j - 782. Let t be c(49). Factor d - 7/2*d**t + 0.
-d*(7*d - 2)/2
Let y(f) be the first derivative of -8*f**3 - 6 - 3 - 12*f**3 + 13*f**2 - 4*f + 6*f**3. Factor y(t).
-2*(3*t - 1)*(7*t - 2)
Let t(x) be the second derivative of -x**6/150 - x**5/100 + x**4/30 - 3*x + 5. Solve t(v) = 0 for v.
-2, 0, 1
Let b(s) be the second derivative of -1/9*s**4 + 0*s**2 + 1/63*s**7 + 1/3*s**3 + 0 + 2/45*s**6 - 2/15*s**5 - 4*s. Solve b(t) = 0 for t.
-3, -1, 0, 1
Suppose 5*n = 2*t, 3*n + n - 2*t + 2 = 0. Let o(u) be the second derivative of 2/33*u**3 - 7/66*u**4 - u + 0 + 0*u**n. Factor o(g).
-2*g*(7*g - 2)/11
Let r be -18*(10/(-30))/((-2)/(-2)). Factor -15/4*m**3 + 3*m + 3/4*m**4 - r + 9/2*m**2.
3*(m - 2)**3*(m + 1)/4
Let z(y) be the first derivative of -5/3*y**3 + 44 - 50*y - 35/2*y**2. Factor z(x).
-5*(x + 2)*(x + 5)
Determine b so that 18/5*b**2 - 1/5*b**5 - 18/5*b**4 + 1/5*b**3 + 0*b + 0 = 0.
-18, -1, 0, 1
Let f(s) be the first derivative of s**7/357 + s**6/255 - s**5/170 - s**4/102 - 22*s + 20. Let o(h) be the first derivative of f(h). Let o(j) = 0. Calculate j.
-1, 0, 1
Let l = -2 + -8. Let t(z) = z**3 + 10*z**2 - 4*z - 8. Let g be t(l). Factor -6*v**4 - 4*v**4 + 0*v**2 - 16*v + 2*v**4 - g*v**2 - 24*v**3 - v**5.
-v*(v + 2)**4
Let s(j) = -12*j + 385. Let z be s(32). Factor 1/4*q**2 + z - q.
(q - 2)**2/4
Find o, given that 19*o**2 - 47045 - 274*o - 24*o**2 - 201*o + 154*o - 649*o = 0.
-97
Let h(u) = 26*u**3 + 248*u**2 + 282*u + 10. Let v(a) = -8*a**3 - 84*a**2 - 94*a - 3. Let f(b) = -3*h(b) - 10*v(b). Find q, given that f(q) = 0.
-47, -1, 0
Let o(a) = -2*a - 6. Let i = -96 + 92. Let h be o(i). Factor 0 + 2/13*b**h + 0*b.
2*b**2/13
Let s(m) be the first derivative of -m**4/20 - 11*m**3/5 - 363*m**2/10 + 29*m + 19. Let v(b) be the first derivative of s(b). Factor v(p).
-3*(p + 11)**2/5
Let o be 150/(-252) + 2/(-4)*-1. Let a = o - -25/42. Factor 0 + a*y**2 - 1/2*y.
y*(y - 1)/2
Find s, given that 17*s**2 + 0 + 6*s**3 + 6*s + 0 - 2*s**2 = 0.
-2, -1/2, 0
Factor -p**2 + 0 - 1/7*p**3 - 6/7*p.
-p*(p + 1)*(p + 6)/7
Let x(f) be the second derivative of f**7/70 + f**6/40 - 3*f**5/20 - f**4/8 + f**3 - 11*f**2/2 + 11*f. Let b(a) be the first derivative of x(a). Factor b(h).
3*(h - 1)**2*(h + 1)*(h + 2)
Let a(s) be the second derivative of 1/21*s**3 - 4*s + 0*s**2 + 1/42*s**4 + 0. What is c in a(c) = 0?
-1, 0
Let o(j) = 2*j**3 + 118*j**2 - 1798*j - 1918. Let c(u) = -u**3 + u**2 - 1. Let n(v) = -4*c(v) - o(v). Factor n(d).
2*(d - 31)**2*(d + 1)
Let s(a) be the third derivative of a**5/300 + 17*a**4/12 + 169*a**3/30 + 562*a**2. Factor s(c).
(c + 1)*(c + 169)/5
Suppose 0 = -3*z + 5*q + 17, -z + q - 45 = -50. Let l(y) be the first derivative of -15/8*y**z - y**3 - 1/4*y**6 + 0*y + 0*y**2 - 5 - 6/5*y**5. Solve l(u) = 0.
-2, -1, 0
Let q(n) be the second derivative of -n**5/70 + 59*n**4/21 - 3481*n**3/21 + 3*n - 27. Find y, given that q(y) = 0.
0, 59
Let u(r) be the second derivative of -6*r**2 + 11*r + 1/6*r**3 - 1/240*r**6 + 0 - 5/48*r**4 + 1/30*r**5. Let i(j) be the first derivative of u(j). Factor i(z).
-(z - 2)*(z - 1)**2/2
Suppose -2*f - 6 = -6*y, f - y + 14 = 15. Factor 11/4*x**2 + 1 + 3*x + 3/4*x**f.
(x + 1)*(x + 2)*(3*x + 2)/4
Let c = 2/1697 + 13566/8485. Solve 98/5*m**5 - 18*m**3 - c*m - 56/5*m**2 + 0 + 56/5*m**4 = 0 for m.
-1, -2/7, 0, 1
Let o = 2 + -1. Let d be 1 - 1 - (-2 - o). Factor 3*i**3 + d*i**2 + 0*i + 6*i**2 + 6*i.
3*i*(i + 1)*(i + 2)
Factor 0 - 35/8*y**3 + 0*y - 2*y**4 + 1/8*y**5 - 9/4*y**2.
y**2*(y - 18)*(y + 1)**2/8
Let h = 40 - 60. Let i be (-15)/h*8/3. Determine a so that -13*a**2 + 5*a**i + 7*a**3 + 0*a - 3*a**3 + 4*a = 0.
0, 1
Let d(z) be the second derivative of 1/6*z**4 + 6 - 2/3*z**3 + 6*z + 0*z**2 - 1/15*z**6 + 1/5*z**5. Suppose d(s) = 0. Calculate s.
-1, 0, 1, 2
Let r(x) be the first derivative of x**4 + 58*x**3 - 134*x**2 + 90*x + 829. Factor r(m).
2*(m - 1)*(m + 45)*(2*m - 1)
Suppose 14*p + 896 = 7*p. Let h = 642/5 + p. Solve 1/5*g**4 - 2/5*g**3 + 0*g**2 + h*g - 1/5 = 0.
-1, 1
Let h(s) be the second derivative of 10*s + 5/6*s**3 - 7/30*s**6 - 1/4*s**5 + 3/4*s**4 - s**2 + 0. Let h(u) = 0. What is u?
-1, 2/7, 1
Let n(s) be the first derivative of s**4/12 + 4*s**3/9 + 5*s**2/6 + 2*s/3 + 53. Factor n(k).
(k + 1)**2*(k + 2)/3
Let h(t) be the first derivative of t**6/3 - t**4 + t**2 + 7. Factor h(u).
2*u*(u - 1)**2*(u + 1)**2
Factor 25*o - 5/3*o**2 - 70/3.
-5*(o - 14)*(o - 1)/3
Let x(d) be the second derivative of d**4/132 - 35*d**3/66 + 154*d. Find f, given that x(f) = 0.
0, 35
Let a(b) be the third derivative of b**8/110880 + b**5/20 + 7*b**