*3 - 12*q + 0*q**2 + 0 - 1/18*q**4 + 1/60*q**5 + 1/90*q**6. Suppose z(n) = 0. Calculate n.
-2, 0, 1
Suppose -4*b = 4*t - 28, -3*t + 9 = -3*b - 0*b. Factor 0 + 3/7*y**3 - 1/7*y**b - 2/7*y.
y*(y - 1)*(3*y + 2)/7
Find q such that 392*q**2 - 686/5*q**3 + 512/5 - 1792/5*q = 0.
4/7, 8/7
Let l(h) be the first derivative of -h**6/6 + 3*h**5/5 - 28. Factor l(j).
-j**4*(j - 3)
Determine k, given that 2/9*k**2 + 16/9 - 2*k = 0.
1, 8
Factor -3*d**2 - 117*d - 2*d**2 + 6*d**2 + 118 - 2*d**2.
-(d - 1)*(d + 118)
Let i be 3/2*8/3. Suppose -2*w - 2*t = -12, i*w = -t + 5*t - 8. Factor 3 + 55*m - 5 + 2*m**w + 7*m**3 - 62*m.
(m - 1)*(m + 1)*(7*m + 2)
Let h be (4/6)/(6/18). Suppose 0*g - 5*g + 35 = -4*x, -h*g + 4*x = -26. Let 8 + 4*v - v - 8 + g*v**2 = 0. What is v?
-1, 0
Determine k so that 45/2*k**3 - 15*k**2 - 18*k - 9/2*k**5 + 12 + 3*k**4 = 0.
-2, -1, 2/3, 1, 2
Suppose 0 = 3*c + 11*w + 33, c = -31*w + 28*w - 9. Solve 3/7*b**3 + c + 2/7*b**2 + 0*b + 1/7*b**4 = 0.
-2, -1, 0
Suppose 5*n - 76 = -461. Let h = n + 1315/17. Solve 0 + h*f**3 + 4/17*f**2 + 0*f = 0 for f.
-2/3, 0
Let t = -4829 + 14492/3. Solve -t*o**3 - 17*o + 31/3*o**2 + 3 = 0.
1/5, 3
Suppose -5*b - 45 = -2*c, 51 = -2*c + 5*c - 2*b. Let n(h) = h**3 - 16*h**2 + 15*h. Let u be n(c). Determine m so that -1/7*m**3 + u + 0*m**2 + 1/7*m = 0.
-1, 0, 1
Let 8*w**4 - 80*w**2 + 11*w**4 - 77*w**5 + 35*w + 52*w**5 + 51*w**4 + 10 - 10*w**3 = 0. What is w?
-1, -1/5, 1, 2
Let p be ((-133)/513)/(3/36)*(-12)/8. Find b such that -1/3*b + 19/3*b**3 - 2/3 + 2*b**4 + p*b**2 = 0.
-2, -1, -1/2, 1/3
Factor -1089/5 - 66/5*v - 1/5*v**2.
-(v + 33)**2/5
Let g = 14 + -12. Let h be 4 + 54/15 - (-2)/5. What is r in -h + r + 12 - g*r**2 + r = 0?
-1, 2
Factor 95/4*a + 15/2 + 10*a**2 - 25/4*a**3.
-5*(a - 3)*(a + 1)*(5*a + 2)/4
Let i(k) = -k**3 + 401*k**2 + 7636*k - 8000. Let a(r) = 5*r**3 - 2405*r**2 - 45810*r + 48000. Let h(u) = -6*a(u) - 35*i(u). Find y, given that h(y) = 0.
-40, 1
Suppose 0 = -29*m - 44 + 102. Solve 6/5*u**3 + 8/5*u**m - 8/5*u**4 + 2/5*u**5 - 8/5*u + 0 = 0 for u.
-1, 0, 1, 2
Factor -229*v**2 + 44*v**2 + 7 + 23 - 545*v.
-5*(v + 3)*(37*v - 2)
Factor -64 + 341*r**2 - 18*r - 169*r**2 - 173*r**2 + 2*r.
-(r + 8)**2
Let x(k) be the first derivative of -2*k**5/75 - k**4/6 - 2*k**3/5 - 7*k**2/15 - 4*k/15 - 90. Factor x(u).
-2*(u + 1)**3*(u + 2)/15
Let 6*o**3 - 3 + 0*o**3 - 3*o**4 - 5*o - o + 6 = 0. Calculate o.
-1, 1
Let o = 1 - 10. Let v be (2 + -2)/((-9)/o). Suppose -17*b**3 + 9 + v + 20*b - 6*b**2 - 5*b**4 + 1 - 2 = 0. What is b?
-2, -2/5, 1
Let p be 23/(207/108)*(-5)/(-45). Factor -l**3 - p*l**4 + 0 + 1/3*l**2 + 0*l.
-l**2*(l + 1)*(4*l - 1)/3
Solve 5*o**4 + 21026*o**3 - 21026*o**3 - 5*o**5 = 0 for o.
0, 1
Let f = 883 + -881. Let p(s) be the second derivative of 0*s**f + 1/42*s**7 - 6*s + 0 - 2/15*s**6 + 1/3*s**4 - 2/3*s**3 + 3/20*s**5. Factor p(t).
t*(t - 2)**2*(t - 1)*(t + 1)
Factor -1/5*q**3 + 0*q + 0 - 32/5*q**2.
-q**2*(q + 32)/5
Let o(m) = -4*m**2 + 2*m + 12. Let y(r) = -r**2 + 2. Let z(j) = o(j) - 6*y(j). Solve z(b) = 0.
-1, 0
Let o(s) be the third derivative of -5*s**9/12096 + s**8/2016 - 2*s**5/15 - 11*s**2. Let h(g) be the third derivative of o(g). Suppose h(l) = 0. Calculate l.
0, 2/5
Factor -1 + 85/2*d**2 - 83/2*d.
(d - 1)*(85*d + 2)/2
Determine d so that -11/4 + 1/2*d**2 + 21/4*d = 0.
-11, 1/2
Suppose 102*i - 299 = -95. Suppose 23/5*t**i + 4/5 + 4*t + 7/5*t**3 = 0. Calculate t.
-2, -1, -2/7
Let b be (0 - 2)/(54/(-24)). Factor 2/9*s**3 + 0 + 2/3*s - b*s**2.
2*s*(s - 3)*(s - 1)/9
Suppose -4*x = f - x - 14, f = -x + 8. Let -2*u**2 - f*u - 125 - 3*u**2 + 15*u + 40*u = 0. What is u?
5
Find r, given that 52*r**3 - 74*r + 15 + 23*r**2 - 19*r**2 - 3 - 16*r**4 + 22*r = 0.
-1, 1/4, 1, 3
Let i(w) = 3*w**2 + 8*w + 2. Let x be i(-3). Let v be x/25 - ((-4)/(-10))/2. Factor 0 - 3/5*u**3 + v*u**2 + 0*u.
-3*u**3/5
Factor 11*h + 8*h - 24*h + 13*h + 7*h**2 - h**3.
-h*(h - 8)*(h + 1)
Let p(a) be the third derivative of -a**8/672 + a**6/80 - a**5/60 + a**2 + 38*a. Find b such that p(b) = 0.
-2, 0, 1
Let q be (5/10)/((-2)/(-52)). Determine o, given that o**2 - o**3 - 8*o - q*o + 21*o = 0.
0, 1
Let f(d) = 2*d - 2. Suppose h = -1, -5*x - 4*h = -2*x - 2. Let w be f(x). Factor -2*l**2 - w*l + 10 - 9 + 3.
-2*(l - 1)*(l + 2)
Let p = 91/15 + -17/5. Find a, given that 2/3*a - p*a**3 + 0 + 2*a**2 = 0.
-1/4, 0, 1
Let i(d) be the second derivative of d**4/12 - 44*d**3/3 + 968*d**2 - 400*d. Factor i(l).
(l - 44)**2
Let s(x) be the second derivative of -x**6/10 - 27*x**5/20 - 9*x**4/2 + 2*x**3 + 36*x**2 + 28*x. Suppose s(o) = 0. Calculate o.
-6, -2, 1
Let h(v) be the third derivative of v**6/40 - v**4/24 - 3*v**2. Let l be h(1). Solve l*m**3 + 6*m**3 - 5*m**3 + 6*m**2 + 0*m**3 = 0 for m.
-2, 0
Let g(b) be the third derivative of -b**5/30 - 7*b**4/6 - b**2 - 4*b. Factor g(r).
-2*r*(r + 14)
Let w(q) be the first derivative of -4*q**5/5 - 3*q**4 + 12*q**3 - 10*q**2 - 69. Factor w(z).
-4*z*(z - 1)**2*(z + 5)
Let l = -3083/6 + 514. Let y(u) be the second derivative of -1/18*u**4 - 1/6*u**3 + 0 - l*u**2 - 7*u. Find o such that y(o) = 0.
-1, -1/2
Factor 264 - 26*z**2 - 264 + 2*z**3 - 28*z.
2*z*(z - 14)*(z + 1)
Let r(a) be the third derivative of 1/15*a**5 - 1/6*a**4 + 1/30*a**6 + 0 + 0*a - 3*a**2 - 2/3*a**3. Let r(v) = 0. What is v?
-1, 1
Suppose -14*i - 42 = -0. Let q be (-2)/i*(4 - (-174)/(-48)). Factor q*s**3 + 0*s - 1/4*s**2 + 0.
s**2*(s - 1)/4
Let v(b) be the third derivative of 0*b + 0*b**5 + 0 + 2/3*b**3 - 1/15*b**6 - 4*b**2 - 2/105*b**7 + 1/3*b**4. Factor v(d).
-4*(d - 1)*(d + 1)**3
Let u = -36/211 + 11162/3587. Suppose -u*h**5 - 88/17*h**2 + 0 - 10/17*h**4 + 132/17*h**3 + 16/17*h = 0. What is h?
-2, 0, 2/5, 1
Let g(u) = -u + 9. Let c be g(6). Suppose w + 3*l + 2*l + 7 = 0, -c*l = -3*w + 15. Factor -2*y**2 + 3*y + 3*y - 3*y**w - y**2 + 0*y.
-3*y*(y - 1)*(y + 2)
Let r(v) be the second derivative of 49/5*v**2 + 1/30*v**4 - 42*v - 1 - 14/15*v**3. What is o in r(o) = 0?
7
Let m(d) = 8*d + 75. Let w be m(-9). Let n = 2499 + -27471/11. Let -4/11*u + n*u**2 - 14/11*u**w + 0 = 0. What is u?
0, 2/7, 1
Let n(r) be the third derivative of r**5/60 - 23*r**4/24 + 11*r**3/3 + 4*r**2 - 20*r. Find h such that n(h) = 0.
1, 22
Let q = -4 - -14. Suppose -q*l = -14*l + 12. Let c**2 + 41 - 41 + l*c + 9*c**3 + 11*c**2 = 0. What is c?
-1, -1/3, 0
Suppose 0 = 2*z - 0*f + 2*f + 6, 4*z - 2*f = 0. Let t(y) = -y**3 - y**2 - y + 1. Let c(w) = -6*w**3 - w**2 + 14*w - 9. Let s(v) = z*c(v) + t(v). Factor s(j).
5*(j - 1)**2*(j + 2)
Suppose -3*k + 62 = -0*f + 2*f, k - f - 14 = 0. Suppose -12*o + 21*o - k = 0. Find v such that -3/5*v**o + 0 + 1/5*v**3 + 2/5*v = 0.
0, 1, 2
Let v(n) = -n**2 - 4*n + 4. Let u be v(-4). Suppose -7*t = -u*t - 6. Solve 4/11*j**3 + 2/11*j**4 - 2/11 - 4/11*j + 0*j**t = 0 for j.
-1, 1
Let y(m) be the third derivative of -m**9/181440 + m**8/15120 - m**7/3780 + m**5/12 + 39*m**2. Let v(a) be the third derivative of y(a). Factor v(c).
-c*(c - 2)**2/3
Let f(t) be the second derivative of 2/27*t**3 + 0*t**2 - 11/54*t**4 + 11/135*t**6 + 7*t + 7/90*t**5 + 0 - 1/21*t**7. Find b, given that f(b) = 0.
-1, 0, 2/9, 1
Factor 0 - 8/15*w + 14/15*w**2 - 2/15*w**4 - 4/15*w**3.
-2*w*(w - 1)**2*(w + 4)/15
Let x(d) be the second derivative of -d**7/168 + d**6/20 - 13*d**5/80 + d**4/4 - d**3/6 + 5*d + 7. Determine m so that x(m) = 0.
0, 1, 2
Let k(w) be the first derivative of 25*w**4/4 - 85*w**3/3 + 40*w**2 - 20*w - 199. Solve k(g) = 0 for g.
2/5, 1, 2
Let n(w) = -2*w**2 - 30*w + 32. Let h(q) = 3*q**2 + 61*q - 64. Let d(i) = -3*h(i) - 5*n(i). Factor d(u).
(u - 32)*(u - 1)
Let b(h) = -h**5 - h**2. Let s(o) = -8*o**5 + 4*o**4 - 6*o**3 - 3*o**2 - o. Let j(t) = 28*b(t) - 4*s(t). Factor j(i).
4*i*(i - 1)**4
Let v = 61 + -16. Let u(q) = 17*q**2 - 20*q + 5. Let t(b) be the first derivative of 125*b**3 - 220*b**2 + 110*b + 414. Let h(z) = v*u(z) - 2*t(z). Factor h(m).
5*(m - 1)*(3*m - 1)
Suppose -102*c = -100*c - 8. Let w(h) be the first derivative of 4/5*h + 4/5*h**2 + 1/20*h**4 + 1/3*h**3 - c. Let w(l) = 0. What is l?
-2, -1
Let n(w) = -w**3 + 7*w**2 - 6*w + 6. Let o be n(6). Suppose 0 = -o*g + 4*g + 18. Determine u, given that -2*u + 0*u**3 + 12 - 3 - g*u**2 + 5*u - 3*u**3 = 0.
-3, -1, 1
What is w in 0 + 1/8*w**4 - w**3 + 2*w**2 + 0*w = 0?
0, 4
Let n = 117 + -106. Factor -6*o