 + 8*o**4 + 6*o**4 + 2*o**3 = 0. Calculate o.
-1, -1/3, 1
Let g = -28 + 13. Let y be -5*(-2 - 18/g). Factor -2*o - 2*o**2 + y - 2*o**4 - 4 + 4*o**2 + 2*o**3.
-2*o*(o - 1)**2*(o + 1)
Let b(m) be the third derivative of m**7/525 - m**6/300 - 2*m**5/75 + m**4/15 + 172*m**2. Find x such that b(x) = 0.
-2, 0, 1, 2
Let x(d) be the second derivative of 0 - 1/180*d**5 + 1/540*d**6 + 0*d**2 + 0*d**4 - 3*d - 1/6*d**3. Let u(m) be the second derivative of x(m). Solve u(j) = 0.
0, 1
Solve -1/5*t**5 + 0*t**2 + 0*t**4 + 0 - 16/5*t + 8/5*t**3 = 0 for t.
-2, 0, 2
Let t be (-6 + 6/3)*-1. Let r be ((-2)/t)/((-4)/304). What is g in -r*g**4 + 2 + 6*g + 12*g**3 - 2 + 15*g**2 + 41*g**4 = 0?
-2, -1, 0
Let n = 3/124 - -109/620. Let t(j) be the first derivative of 10 + 0*j - n*j**3 - 3/5*j**2. Factor t(d).
-3*d*(d + 2)/5
Let c(i) be the first derivative of 2*i**5/5 - 5*i**4 + 26*i**3/3 + 60*i**2 + 72*i - 65. Factor c(t).
2*(t - 6)**2*(t + 1)**2
Let q be (-8)/(-92) - 12/207*-33. Let f(b) be the first derivative of 8 + 4/3*b**3 - 11/4*b**4 + 3/4*b**q + 9/5*b**5 - 5/12*b**6 - b. Factor f(m).
-(m - 1)**4*(5*m + 2)/2
Suppose -10*i = 10 - 30. Suppose 48*j**2 + j**3 + 4*j**3 - j**4 - 54*j**i = 0. What is j?
0, 2, 3
Suppose 13 = 4*g - k, 2*k + 1 = k. Suppose -3*n**3 + g*n**4 + 6*n**3 - 3*n**5 + 6*n**3 - 6*n - 3*n**2 + 0*n**4 = 0. Calculate n.
-1, 0, 1, 2
Let w be ((-2)/2)/((-182)/(-21) - 10). Let c(n) be the first derivative of 2/9*n**3 + 5 - w*n**4 + 3/2*n**2 - 2/3*n. Find s, given that c(s) = 0.
-1, 2/9, 1
Let j(r) = -2*r**2 - 115*r - 55. Let a be j(-57). Factor -a*f + 1/4*f**2 + 4.
(f - 4)**2/4
Let z be (-1)/(-6) - 0 - (-231)/882. Solve -3/7*l + 0 - z*l**2 = 0.
-1, 0
Let s = -62 - -70. Suppose -6*f + 10*f = s. Determine r so that -1/4*r - 1/4*r**4 + 0 + 1/4*r**3 + 1/4*r**f = 0.
-1, 0, 1
Let o(g) be the first derivative of 0*g**3 + 1/48*g**4 + 2 + g**2 + 0*g - 1/240*g**5. Let s(p) be the second derivative of o(p). Factor s(b).
-b*(b - 2)/4
Let a(u) be the second derivative of -2*u**7/105 + u**6/30 + u**5/15 - u**4/6 + 8*u**2 - 2*u - 4. Let k(w) be the first derivative of a(w). Factor k(l).
-4*l*(l - 1)**2*(l + 1)
Suppose -12 = -k + 4*x, 6*k - 2*k + 3*x - 10 = 0. Solve -z + z**3 - 1/2*z**k + 1/2 + 0*z**2 = 0.
-1, 1
Let u(x) be the first derivative of 4*x + 2*x**4 - 8 - 4/5*x**5 - 4*x**2 + 0*x**3. Factor u(l).
-4*(l - 1)**3*(l + 1)
Let i(m) be the third derivative of 1/1800*m**6 + 0 + 1/100*m**5 - 2/3*m**3 + 0*m - 4*m**2 + 3/40*m**4. Let n(a) be the first derivative of i(a). Factor n(y).
(y + 3)**2/5
Let d be (-1)/((-4)/60*-3). Let n(b) = -2*b**2 + 2*b. Let m(j) = 3*j**2 - 4*j + 1. Let a(h) = d*n(h) - 3*m(h). Suppose a(f) = 0. What is f?
-3, 1
Let o(a) be the second derivative of 2*a**6/15 + 2*a**5/5 - 4*a**4 - 80*a**3/3 - 64*a**2 + 432*a. Factor o(k).
4*(k - 4)*(k + 2)**3
Suppose 0 = -2*n - 2*r + 130, -4*n - r + 60 + 194 = 0. Let u = n + -61. Find c, given that -4/7*c**3 + 8/7*c**u - 8/7 + 4/7*c = 0.
-1, 1, 2
Suppose 0 = 5*t + 160*m - 159*m - 1, -5*t - 1 = -m. Factor t + 2/7*k**4 + 6/7*k**3 + 0*k + 4/7*k**2.
2*k**2*(k + 1)*(k + 2)/7
Let -274*x**4 + 77*x - 74*x**3 - 145*x**3 + 22529*x**5 - 22609*x**5 - 6 + 58*x**2 = 0. What is x?
-2, -1, 3/40, 1/2
Solve -4*a**2 - 2/3*a**3 + 0*a + 0 = 0 for a.
-6, 0
Solve -3*b**2 - 31*b + 335 - 267 + 5*b**2 - 7*b = 0.
2, 17
Let z(r) be the first derivative of -r**4/3 - 8*r**3/3 - 8*r**2 - 32*r/3 + 39. Factor z(y).
-4*(y + 2)**3/3
Factor 3688*h**5 + 7*h**4 - 3683*h**5 + 250*h**2 + 45 - 150*h**3 + 18*h**4 - 175*h.
5*(h - 1)**4*(h + 9)
Suppose 0 = 4*s - 13*s + 72. Let 4*w**4 + s*w**3 - 56*w + 56*w - 12*w**2 = 0. Calculate w.
-3, 0, 1
Let n(a) be the third derivative of -2*a**7/525 - a**6/50 + a**5/75 + a**4/10 - 7*a**2 + 12*a. Let n(u) = 0. Calculate u.
-3, -1, 0, 1
Let u(b) be the third derivative of -b**5/270 - 19*b**4/6 - 1083*b**3 + b**2 - 85*b. Find p such that u(p) = 0.
-171
Let t(x) be the first derivative of -x**4/4 - 20*x**3/3 - 18*x**2 + 745. Factor t(l).
-l*(l + 2)*(l + 18)
Let n = -1023 + 46067/45. Let z(x) be the first derivative of -4/15*x**2 + n*x**3 + 0*x + 7 - 7/30*x**4. What is p in z(p) = 0?
0, 2/7, 2
Factor 132*h - 7260 - 3/5*h**2.
-3*(h - 110)**2/5
Let y be (0 - 5 - -15) + -5. Factor 17*t + y*t**4 + 75*t**2 + 0*t**4 + 36*t - 45*t**3 + 72*t.
5*t*(t - 5)**2*(t + 1)
Let m(n) be the third derivative of n**6/120 - n**5/60 + n**4/24 - 17*n**2. Let b(r) = -9*r**3 + 12*r**2 - 13*r + 2. Let q(x) = -3*b(x) - 24*m(x). Factor q(h).
3*(h - 2)*(h - 1)**2
Let q(f) be the first derivative of f**5/45 + 2*f**4/9 + 2*f**3/3 + 8*f**2/9 - 16*f + 9. Let g(s) be the first derivative of q(s). Factor g(h).
4*(h + 1)**2*(h + 4)/9
Let m(w) = 2*w - 9. Let i be m(6). Suppose -3*f - 5*p + 5 = -11, i*f - 3*p = 0. Determine y, given that -3*y**f - 4 + 2 + 3 + 2 = 0.
-1, 1
Let t(r) be the third derivative of 5*r**4 + 0 + 2*r**2 + 0*r + 4/3*r**5 + 15/2*r**3. Factor t(g).
5*(4*g + 3)**2
Let w(l) = -l**3 - l**2. Let p(o) = -4*o**2 + 2*o + 6. Let x = 18 + -16. Let z(k) = x*p(k) + 4*w(k). Suppose z(g) = 0. What is g?
-3, -1, 1
Let q(f) be the third derivative of f**8/3024 + f**7/1890 - f**6/1080 - f**5/540 - 174*f**2. Factor q(i).
i**2*(i - 1)*(i + 1)**2/9
Let p = -120 + 127. Suppose -p = f - 9. Factor -2/7*n**3 + 2/7 - 6/7*n + 6/7*n**f.
-2*(n - 1)**3/7
Factor -4/5*n - 16/5*n**2 - 4/5*n**3 + 24/5.
-4*(n - 1)*(n + 2)*(n + 3)/5
Let t(h) be the first derivative of -h**5/5 + 5*h**4/3 - 16*h**3/3 + 8*h**2 - 10*h + 10. Let w(q) be the first derivative of t(q). Factor w(l).
-4*(l - 2)**2*(l - 1)
Let y(q) be the second derivative of -3*q**5/80 + 3*q**4/8 + q**3/2 - 9*q**2 - 34*q + 12. Factor y(n).
-3*(n - 6)*(n - 2)*(n + 2)/4
Let z = -48 - -48. Let d be z/((3 - -6)*(-2)/6). Factor -1/5 + d*t + 1/5*t**2.
(t - 1)*(t + 1)/5
Let c(i) = -18*i**3 - 51*i**2 - 17*i + 6. Let j(l) = 36*l**3 + 104*l**2 + 35*l - 13. Let h(a) = 9*c(a) + 4*j(a). Solve h(u) = 0.
-2, -1/2, 1/9
Let b = -143 - -150. Let d be ((-3)/45)/(((-14)/12)/b). Solve -1/5*v + 0 - 1/5*v**3 + d*v**2 = 0.
0, 1
Let q(m) be the third derivative of m**5/90 + 20*m**4/9 + 1600*m**3/9 + 87*m**2. Factor q(j).
2*(j + 40)**2/3
Let a = -757 - -763. Let h(l) be the third derivative of -1/50*l**a + 1/15*l**4 + 2*l**2 + 0*l + 1/15*l**5 + 0 + 0*l**3. Solve h(y) = 0.
-1/3, 0, 2
Factor 48/5 + 3/5*x**2 + 51/5*x.
3*(x + 1)*(x + 16)/5
Let w(a) be the second derivative of 5*a**3/6 + 15*a**2 - 5*a. Let x be w(-6). Factor 0*i**2 + x + 0*i - 14/3*i**4 - 4/3*i**3.
-2*i**3*(7*i + 2)/3
Suppose -7*a = -89 + 26. Factor -44*w**3 - 12 + 11*w**2 + 50*w**3 + 3*w + a*w + 10*w**2.
3*(w + 2)**2*(2*w - 1)
Suppose 18*x = 44*x - 104. Factor 1/3*d**x - d**2 + 2/3*d + 0*d**3 + 0.
d*(d - 1)**2*(d + 2)/3
Factor -s**5 + 164*s**2 + 2*s - 82*s**2 - s**4 + 3*s**3 - 77*s**2.
-s*(s - 2)*(s + 1)**3
Let b(a) = -a**2 + 4*a + 9. Let u be b(3). Factor -u*i + 73 + 3*i - 4*i**2 - 53 - 7*i.
-4*(i - 1)*(i + 5)
Let y = -5514698/81 + 68081. Let f = -2/81 - y. Suppose 10/3 + 5/3*x - 10/3*x**2 - f*x**3 = 0. What is x?
-2, -1, 1
Let z(x) be the second derivative of 7*x**6/1980 + x**5/55 - x**4/33 + x**3/6 + x**2/2 - 22*x. Let k(p) be the second derivative of z(p). Solve k(h) = 0 for h.
-2, 2/7
Let b(r) be the first derivative of -r**4/18 + 28*r**3/27 - 32*r**2/9 - 256*r/9 - 104. Factor b(p).
-2*(p - 8)**2*(p + 2)/9
Let y = -27244 - -27244. Let 8/5*w**2 - 12/5*w**5 + y + 4/5*w**3 + 0*w - 16/5*w**4 = 0. What is w?
-1, 0, 2/3
Let g = -5831/18 + 324. Let d(r) be the first derivative of 4/9*r**2 + 8/45*r**5 - 20/27*r**3 + 16/9*r - g*r**4 + 2 - 1/27*r**6. Factor d(v).
-2*(v - 2)**3*(v + 1)**2/9
Let p = -41/88 - -19/40. Let t(u) be the second derivative of 0 + 6*u + 0*u**2 + 1/22*u**4 - p*u**5 - 2/33*u**3. Solve t(o) = 0 for o.
0, 1, 2
Let j(f) be the third derivative of f**7/4410 - f**6/252 - f**5/35 + 11*f**4/8 + 5*f**2. Let h(v) be the second derivative of j(v). What is y in h(y) = 0?
-1, 6
What is r in 96/5 - 4/5*r**3 - 112/5*r + 8*r**2 = 0?
2, 6
Let s(k) be the third derivative of 11*k**5/20 - 17*k**4/8 + 3*k**3 + 2*k**2 - 15. Factor s(m).
3*(m - 1)*(11*m - 6)
Let o(f) be the second derivative of -f**5/60 - f**4/8 + 2*f**3/3 - 17*f**2/2 + 21*f. Let g(m) be the first derivative of o(m). Let g(n) = 0. What is n?
-4, 1
Let m(j) be the first derivative of j**3/3 + j**2/2 + 1. Let 