 that g(v) = 0.
-2, 0, 1
Let -2/7*m**4 - 2*m**3 + 2*m + 12/7 - 10/7*m**2 = 0. Calculate m.
-6, -1, 1
Let j = 515 - 320. Let -35*v**4 - j*v**2 + 59*v**3 + 185*v**2 - 14*v**3 = 0. What is v?
0, 2/7, 1
Find u, given that -2343*u**2 + 2611*u**2 - 538*u**3 - 64 + 192*u - 686*u**4 - 106*u**4 - 242*u**5 = 0.
-2, -1, 4/11
Suppose -31 = -15*p + 14. Let n(r) be the second derivative of 0*r**2 + r + 0 - 2/3*r**p + 1/6*r**4. Factor n(a).
2*a*(a - 2)
Let l be ((-6)/(-8))/(((-1989)/(-544))/((-357)/(-68))). Let -2/13*u + l*u**4 - 4/13 + 30/13*u**2 - 38/13*u**3 = 0. Calculate u.
-2/7, 1
Let x be 8/(-10) + (-43)/(7525/(-560)). Factor x*a**2 + 24/5*a + 16/5 + 2/5*a**3.
2*(a + 2)**3/5
Let f(k) be the second derivative of k**5/16 - 15*k**4/16 + 45*k**3/8 - 135*k**2/8 - 6*k. Solve f(b) = 0 for b.
3
Suppose -2*h + 25 = 3*z, 2*h + 2*h + 71 = 5*z. Let p = z - 9. Factor 0 + 0*l + 2/5*l**p.
2*l**2/5
Let l = 6605 - 99073/15. Determine s so that 4/15*s**2 + 0*s**3 + 0 - 2/15*s + l*s**5 - 4/15*s**4 = 0.
-1, 0, 1
Let g = 5753 + -11501/2. Suppose -1/6*f**4 - 3 - g*f + 1/2*f**3 + 7/6*f**2 = 0. Calculate f.
-2, -1, 3
Let h(f) be the second derivative of f**10/22680 - f**8/5040 - 13*f**4/12 - 31*f. Let y(v) be the third derivative of h(v). Factor y(x).
4*x**3*(x - 1)*(x + 1)/3
Let p(m) be the third derivative of m**7/840 - m**6/160 - m**5/120 + m**4/8 - m**3/3 - 70*m**2. Solve p(o) = 0 for o.
-2, 1, 2
Suppose 0 = -176*q + 172*q + 16. Let u be (q/(-32))/(0 + -4 + 3). Factor 0*s**3 - u*s**4 + 0 + 0*s + 0*s**2.
-s**4/8
Let b(g) be the third derivative of g**8/504 + g**7/105 - g**6/90 - 2*g**5/15 - 2*g**4/9 - 5*g**2 + 9. Suppose b(q) = 0. Calculate q.
-2, -1, 0, 2
Let k be (12*(-4)/(-6))/(0 - -2). Let f(n) be the second derivative of 1/15*n**6 + 0*n**2 - 1/6*n**k - 1/3*n**3 + 1/10*n**5 + 0 - 4*n. Factor f(r).
2*r*(r - 1)*(r + 1)**2
Let x(o) = 14*o**4 - 11*o**3 - 3*o**2 - 5*o - 5. Let r(v) = v**4 - 1 - 17*v**3 + 26*v**3 - 5*v + 4*v - 10*v**3. Let f(a) = -5*r(a) + x(a). Factor f(h).
3*h**2*(h - 1)*(3*h + 1)
Let t = 1/12176 + 155243/12176. Solve 3/4*d**4 + 9/2 - 21/4*d**3 + 51/4*d**2 - t*d = 0.
1, 2, 3
Suppose -23*b + 14 = -25*b, -2*n - 2*b = 10. Factor 0 - 1/4*w**3 - 5/4*w**n - 3/4*w + 1/4*w**4.
w*(w - 3)*(w + 1)**2/4
Let n(g) be the first derivative of 4*g + 4 - 6/5*g**5 - 8*g**3 + 8*g**2 + 13/3*g**4 + 2/15*g**6. Let z(f) be the first derivative of n(f). Factor z(i).
4*(i - 2)**2*(i - 1)**2
Suppose -2*b + 19*b + 12*b = 0. Let k(c) be the third derivative of 8*c**2 + 0*c + 9/8*c**4 + b + 49/40*c**6 + 21/10*c**5 + 0*c**3. Let k(y) = 0. Calculate y.
-3/7, 0
Let l(o) be the third derivative of -o**8/5040 + o**7/252 - o**6/30 + 3*o**5/20 + 18*o**2. Let g(r) be the third derivative of l(r). Factor g(k).
-4*(k - 3)*(k - 2)
Let y = -7 - -9. Factor -4*a - y*a**2 - 26 - 8*a + 10.
-2*(a + 2)*(a + 4)
Factor -6750 + 2/3*r**4 + 360*r**2 - 900*r - 28*r**3.
2*(r - 15)**3*(r + 3)/3
Let c(u) = -2*u**5 - 5*u**4 + 2*u**3 - u**2 - 3*u - 3. Let k(j) = j**5 + j**4 - j**3 + j**2 + j + 1. Let h(z) = -2*c(z) - 6*k(z). Determine d so that h(d) = 0.
-1, 0, 1, 2
Let o = -536/13 + 1738/39. Determine i so that -o*i**2 - 2/3*i**4 - 8/3*i**3 - 4/3*i + 0 = 0.
-2, -1, 0
Factor 0 - 43/4*x - 1/8*x**2.
-x*(x + 86)/8
Let x(l) be the third derivative of l**6/40 - 7*l**5/20 - l**4 - 29*l**2. Solve x(i) = 0 for i.
-1, 0, 8
Let -24/5 + 6/5*c**3 + 27/5*c**2 - 3/5*c**4 - 6/5*c = 0. What is c?
-2, -1, 1, 4
Let m(q) be the first derivative of 2/3*q**3 + 4*q - 3*q**2 + 8. Factor m(v).
2*(v - 2)*(v - 1)
What is j in 9/2*j**2 + 0 - 1/4*j**5 - 21/4*j**3 + 0*j + 2*j**4 = 0?
0, 2, 3
Let j = -8118 + 24358/3. Determine p so that 2/9*p**2 - 14/9 - j*p = 0.
-1, 7
Factor 0*z**4 - 16*z**4 - 4*z**3 - 10*z**5 + 14*z**2 + 12*z + 2 - z + 3*z**5.
-(z - 1)*(z + 1)**3*(7*z + 2)
Let o = 2/315 - -2/9. Let l(v) be the first derivative of -1/21*v**6 + o*v**5 - 4/21*v**3 + 5/7*v**2 - 4/7*v - 2/7*v**4 - 2. Suppose l(s) = 0. Calculate s.
-1, 1, 2
Factor -20/17*y**3 + 2/17*y**4 + 72/17 + 26/17*y**2 + 120/17*y.
2*(y - 6)**2*(y + 1)**2/17
Let o be -1 + (-2)/(-4)*6. Suppose 40*u**o + 15*u**3 - 5 - 15*u + 1 - 20*u**4 - 15*u**2 - 1 = 0. What is u?
-1, -1/4, 1
Let q(p) = -13*p**3 - 630*p**2 - 22043*p - 257243. Let f(c) = 9*c**3 + 420*c**2 + 14695*c + 171495. Let s(b) = 7*f(b) + 5*q(b). Let s(z) = 0. What is z?
-35
Suppose -i + 4 = -3*o - 5*i, -4*o + 3*i = -28. Find u such that 84 - 84 + 5*u**5 + o*u**4 - u**3 = 0.
-1, 0, 1/5
Suppose -3*h + 10 = -26. Solve h*o - 5*o**2 + 3*o**2 + 10 - 10 - 2*o**3 = 0.
-3, 0, 2
Let 27*t**5 - 3600 - 19991*t**3 - 52324*t**2 - 63*t**5 - 17435*t - 8837*t**3 + 2100*t**4 - 7525*t = 0. What is t?
-1, -1/3, 30
Let g(h) be the third derivative of -h**8/47040 - h**7/2352 - h**6/420 - h**5/15 - 7*h**2. Let v(j) be the third derivative of g(j). Factor v(s).
-3*(s + 1)*(s + 4)/7
Let x(a) = -a**3 - 13*a**2 + 31*a + 12. Let w be x(-15). Let k be (-4 + 1)*-1 + w. Determine f so that -3/2*f**2 + 0*f**4 + 9/4*f**3 - 3/4*f**5 + 0 + k*f = 0.
-2, 0, 1
Factor -2/11*j**3 - 8/11*j**2 - 6/11*j + 0.
-2*j*(j + 1)*(j + 3)/11
Let i(a) = 6*a**3 + 2*a**2 + 4*a + 4. Let f be i(-2). Let r = f - -223/5. Factor -r*v**2 + 3/5*v + 6/5.
-3*(v - 2)*(v + 1)/5
Let p(l) = -l**5 + l**4 + l**2 - l. Let h(c) = -3*c**5 - 3*c**3 + 38*c**2 - 56*c + 24. Let y = 158 + -162. Let z(x) = y*p(x) + h(x). What is s in z(s) = 0?
-3, 1, 2
Let f(r) = r**3 - 4*r**2 + 5*r - 4. Let w be f(3). Factor 3 + 10*u + 3 + 40*u**3 - 36*u**2 - 16*u**4 - 7 + 3*u**w.
-(u - 1)**2*(4*u - 1)**2
Let i be (-1)/(-3) + 1185/900. Let u(a) be the third derivative of 0*a + 2/3*a**3 + 0 + 27/70*a**7 + 157/60*a**5 - 4*a**2 - i*a**6 - 11/6*a**4. Factor u(h).
(h - 1)**2*(9*h - 2)**2
Suppose 0 + 12 = 4*m. Suppose 0 = 3*w + 3*s, 4 = -m*s + s. Factor -2*l**4 + 48*l - 52*l**2 - w*l**4 - 16 + 24*l**3 + 3*l**4 - 3*l**4.
-4*(l - 2)**2*(l - 1)**2
Let i(u) be the third derivative of -u**6/210 + 8*u**5/105 - 10*u**4/21 + 32*u**3/21 + 45*u**2 - 2. Factor i(v).
-4*(v - 4)*(v - 2)**2/7
Let o(n) be the third derivative of n**5/45 - 163*n**4/108 + n**3 + 165*n**2. Determine g so that o(g) = 0.
1/6, 27
Factor 30017 + 41131 - 31*a**2 + 91*a**2 + 924*a - 30*a**2 - 27*a**2.
3*(a + 154)**2
Let l be (4/6)/((-6)/(-45)). Factor 0*b**4 + 0*b**l - b**4 + b**5.
b**4*(b - 1)
Let u(i) be the third derivative of i**8/84 + 4*i**7/105 - 2*i**5/15 - i**4/6 + 64*i**2. Determine g so that u(g) = 0.
-1, 0, 1
Let v = 23 - 23. Factor 163*y**3 + y**4 + v*y**4 - y**2 - 162*y**3 - y.
y*(y - 1)*(y + 1)**2
Suppose -64 + 73 = 2*z + k, -5*k = -3*z - 19. Factor 2/3*b - z*b**2 + 0.
-2*b*(3*b - 1)/3
Let d = 6 - 4. Let g = 203 + -191. Factor g + 0*l**2 - 24*l + l**d + 14*l**2 - 3*l**3.
-3*(l - 2)**2*(l - 1)
Let i(u) = -5*u**4 + 31*u**3 - 85*u**2 + 89*u - 30. Let q(a) = -a**3 + a. Let w(v) = i(v) - 4*q(v). Factor w(s).
-5*(s - 3)*(s - 2)*(s - 1)**2
Suppose 5*x + 17*p - 22*p = 0, 0 = -2*x - 3*p. Let x - 1/4*m**3 - 3/4*m - 1/4*m**4 + 5/4*m**2 = 0. Calculate m.
-3, 0, 1
Factor 5/3*x**2 + 3840 + 160*x.
5*(x + 48)**2/3
Let v(w) be the first derivative of w**8/7560 - w**7/1890 - 7*w**6/1620 - w**5/135 + 12*w**3 - 25. Let o(f) be the third derivative of v(f). Factor o(y).
2*y*(y - 4)*(y + 1)**2/9
What is r in -12*r + 24 - 7*r**2 - 2*r**2 - 9*r - 4*r**2 + 10*r**2 = 0?
-8, 1
Suppose -15*a + 48 = 3. Let c(s) be the second derivative of 3/2*s**2 - 1/4*s**a + 0 + 3*s - 1/8*s**4. Factor c(n).
-3*(n - 1)*(n + 2)/2
Factor -12*q - 97*q + 1585*q**2 + 385*q - 2 - 11107*q**2.
-2*(69*q - 1)**2
Let o be (-940)/10810 + 4/46. Determine x, given that -1/11*x + o - 1/11*x**4 - 3/11*x**3 - 3/11*x**2 = 0.
-1, 0
Suppose 15/2*i**2 - 1 + 7/2*i**4 + 19/2*i**3 + 1/2*i = 0. What is i?
-1, 2/7
Factor -4/5*x**2 - 44/5*x + 48/5.
-4*(x - 1)*(x + 12)/5
Suppose -2 = 4*a - 14. Let w = 7 - a. Factor 0*l**3 + l**3 - l**2 - l**w + l**3.
-l**2*(l - 1)**2
Factor -3 - 9/2*v - 5/3*v**2 - 1/6*v**3.
-(v + 1)*(v + 3)*(v + 6)/6
Let m(b) = -10*b**4 - 126*b**3 - 450*b**2 - 794*b - 556. Let d(f) = 2*f**4 + 25*f**3 + 90*f**2 + 159*f + 111. Let s(z) = 16*d(z) + 3*m(z). Factor s(x).
2*(x + 2)*(x + 3)**3
Let k(t) = -5*t**2 + 136*t - 972. Let j(i) = -55*i**2 + 1495*i - 10690. Let q(v) = 4*j(v) - 45*k(v). Factor q(x).
5*(x - 14)**2
Let u = -32344/9 + 3594. Find i, given that 0*i**3 + 0*i**2 + 0 + 0*i + u*i**5 - 2/9*i