**4 + 3/4*y**3 - 1/2*y + 3/4*y**5 = 0.
-2/3, 0, 1
What is g in -1/8*g - 1/2 + 1/8*g**3 + 1/2*g**2 = 0?
-4, -1, 1
Let b(u) be the second derivative of u**7/189 + u**6/15 + 29*u**5/90 + 13*u**4/18 + 2*u**3/3 - 21*u. Find p such that b(p) = 0.
-3, -2, -1, 0
Let q = -61/2 + 31. Suppose -5*u + 4*b + 22 = -15, -2*u + 5*b + 25 = 0. Factor 0*g**2 + 0*g + 0*g**3 + 1/2*g**u + 0 - q*g**4.
g**4*(g - 1)/2
Let s be (-146)/(-30) - 2/(-15). Let r(w) be the third derivative of 0*w - 4*w**2 + 0 - 1/300*w**s + 1/40*w**4 - 1/15*w**3. Solve r(x) = 0 for x.
1, 2
Suppose 7*z + 882 = 16*z. Let l = z + -95. Determine o so that 0 - 1/2*o**l + 3/2*o**2 - 3/2*o**4 + 1/2*o = 0.
-1, -1/3, 0, 1
Let a(h) be the first derivative of 12*h**5/5 - 17*h**4/2 + 6*h**3 + 2*h**2 - 3. Factor a(t).
2*t*(t - 2)*(t - 1)*(6*t + 1)
Factor 0*s + 0*s**2 + 0 + 2/5*s**5 + 0*s**3 - 4/5*s**4.
2*s**4*(s - 2)/5
Let v(p) be the first derivative of -2*p**7/2205 + p**6/420 + p**5/315 - 4*p**2 - 33. Let w(z) be the second derivative of v(z). Factor w(m).
-2*m**2*(m - 2)*(2*m + 1)/21
Let g be (516/1)/((-19)/((-342)/(-60))). Let f = 155 + g. Find y, given that 3/5*y**3 + 1/5*y**4 + 3/5*y**2 + 0 + f*y = 0.
-1, 0
Suppose -17 = -4*v + 3*v - 3*c, -4*c + 22 = v. Factor -3/2 + 25/8*z**v + z + 1/4*z**4 + 13/8*z**3.
(z + 2)**2*(z + 3)*(2*z - 1)/8
Let -114*c**2 + 93*c**2 - 132 + 126*c - 3*c**3 - 6*c = 0. Calculate c.
-11, 2
Let p(v) be the first derivative of -3*v**5/25 + 4*v**4/5 - 2*v**3 + 12*v**2/5 - 7*v/5 - 113. Determine b so that p(b) = 0.
1, 7/3
Let o(n) be the second derivative of n**7/504 - n**6/144 + 5*n**4/12 + 7*n. Let s(y) be the third derivative of o(y). Factor s(t).
5*t*(t - 1)
Suppose 2*t + 2*b = 3*b - 3, t - 9 = 4*b. Let o be (t - -1) + 1 - (-6)/2. Factor -4/11*a - 2/11*a**o - 2/11.
-2*(a + 1)**2/11
Let x(h) be the third derivative of 3*h**5/20 + h**4/2 + 2*h**3/3 - 128*h**2. Factor x(a).
(3*a + 2)**2
Factor 2/9*l**2 - 20/9*l + 16/3.
2*(l - 6)*(l - 4)/9
Let h(d) = -4*d + 26. Let k be h(6). Let l be (8/42)/((-18)/(-27)). Factor -l*y**k - 18/7 + 12/7*y.
-2*(y - 3)**2/7
Let k(j) be the second derivative of 0*j**4 + 0*j**3 - 1/135*j**6 + 0*j**2 + 0*j**5 + 0 + 11*j. Find q, given that k(q) = 0.
0
Let s(c) be the second derivative of c**4/108 + c**3/6 + 7*c**2/9 + c - 56. Factor s(l).
(l + 2)*(l + 7)/9
Let i(c) be the second derivative of -1/48*c**4 + 1/12*c**3 + 3*c**2 + 3*c + 1/240*c**6 - 1/120*c**5 + 0. Let j(h) be the first derivative of i(h). Factor j(t).
(t - 1)**2*(t + 1)/2
Solve 1156/5 + 4/5*t**2 + 136/5*t = 0.
-17
Let g(h) = 411*h**3 - 546*h**2 + 6*h + 69. Let m(j) = 59*j**3 - 78*j**2 + j + 10. Let k(i) = -2*g(i) + 15*m(i). Factor k(n).
3*(n - 1)*(3*n + 1)*(7*n - 4)
Let -960/11*c + 800/11 - 48/11*c**3 + 2/11*c**4 + 368/11*c**2 = 0. Calculate c.
2, 10
Let p = -1 + 1. Let o = p - -2. Factor -28 - 66*k**o - 72*k + 1 - 4*k**4 - 24*k**3 + k**4.
-3*(k + 1)**2*(k + 3)**2
Let b(p) = p**2 + 23*p - 140. Let w(l) = l**2 + 23*l - 140. Let s(a) = -7*b(a) + 8*w(a). Solve s(x) = 0.
-28, 5
Let m(a) = -6*a**2 + 232*a + 322. Let w be m(40). Let d = 8/11 + 61/22. Solve -y + d*y**w + 0 = 0.
0, 2/7
Let v(o) = -5*o - 57. Let w be v(-18). Solve -t**3 + w - 33 = 0 for t.
0
Let i(o) be the second derivative of -o**5/80 + 11*o**4/48 + 5*o**3/3 + 7*o**2/2 + 2*o - 134. What is t in i(t) = 0?
-2, -1, 14
Let f = 401 + -2405/6. Let h(z) be the first derivative of 1/12*z**4 + 1/6*z - 1/18*z**3 + 3 - f*z**2. Find r, given that h(r) = 0.
-1, 1/2, 1
Let t(r) be the second derivative of r**6/2340 - r**5/780 - r**3/2 - 8*r. Let x(a) be the second derivative of t(a). Factor x(o).
2*o*(o - 1)/13
Factor 19/3*i**2 - 121 - 1/3*i**3 - 55/3*i.
-(i - 11)**2*(i + 3)/3
Let q be (-19)/((-171)/6) + (-8)/(-6). Factor 0 - 3/2*w**3 + 3/2*w - 3/4*w**q + 3/4*w**4.
3*w*(w - 2)*(w - 1)*(w + 1)/4
Let u = -2409 + 2411. Let b(q) be the third derivative of 0 - 39/10*q**5 - 10/3*q**4 + 9*q**u - 4/3*q**3 + 0*q - 27/20*q**6. Factor b(z).
-2*(z + 1)*(9*z + 2)**2
Suppose -k + 0*m + m = -22, -m = -3*k + 58. Suppose -k - 2 = -5*w. Factor 2*n**2 - 9*n**w - 5*n**2 + 6*n**3 - 15*n**3 - 3*n**5.
-3*n**2*(n + 1)**3
Find f, given that -258*f**2 + 0 - 21/2*f**5 + 108*f**4 + 90*f - 459/2*f**3 = 0.
-1, 0, 2/7, 5, 6
Let c(k) be the third derivative of k**5/180 - 5*k**4/72 - k**3/3 + 20*k**2. Factor c(x).
(x - 6)*(x + 1)/3
Factor 18*h + 34 + 40 + 8*h**2 + 42*h + 26 - 3*h**2.
5*(h + 2)*(h + 10)
Let d = -34535/6 + 5743. Let i = d + 40/3. Factor -1/2 - 1/2*g + 1/2*g**3 + i*g**2.
(g - 1)*(g + 1)**2/2
Let g be 4/30 + 762/360. Factor 3/2*u + g - 3/4*u**2.
-3*(u - 3)*(u + 1)/4
Let d(s) = 6*s**2 - 7*s + 6. Let v(a) = 5*a**2 - 6*a + 4. Let h(g) = 3*d(g) - 4*v(g). Factor h(q).
-(q - 2)*(2*q + 1)
Let t(p) be the second derivative of p**8/3360 + p**7/420 - 5*p**4/3 - 2*p. Let s(u) be the third derivative of t(u). What is d in s(d) = 0?
-3, 0
Let l = 99 - 94. Let s(g) be the first derivative of 2/3*g**3 + 0*g + 0*g**2 - 2/5*g**l + 2 + 1/2*g**4 - 1/3*g**6. Factor s(d).
-2*d**2*(d - 1)*(d + 1)**2
Suppose -5*l + 5 = 2*k, 4*k + l - 1 = 3*k. Factor 3*j + k + 4*j + j - 2*j**2 - 6.
-2*(j - 3)*(j - 1)
Suppose 4*x + 4 = -h, -20*x + 17*x - 2*h = 8. Determine v, given that -40/7*v**2 + 4/7 + x*v - 60/7*v**4 - 16/7*v**5 - 80/7*v**3 = 0.
-1, 1/4
Let d(v) be the first derivative of -v**6/4 + 3*v**5/10 + 9*v**4/2 + 2*v**3 - 12*v**2 + 22. Solve d(c) = 0.
-2, 0, 1, 4
Let c be 51 - 57 - 11/(-1). Let -c - 35/2*f**2 - 5*f**3 - 35/2*f = 0. What is f?
-2, -1, -1/2
Let m(y) be the third derivative of -y**6/30 - 2*y**5/15 + 4*y**4/3 - 159*y**2 - 2. Find t such that m(t) = 0.
-4, 0, 2
Let m(t) be the third derivative of -t**8/168 - t**7/105 + 3*t**6/20 + t**5/30 - 5*t**4/3 + 4*t**3 + t**2 - 61. Solve m(b) = 0.
-3, -2, 1, 2
Let m be -6 - (42/(-7) - 0). Let g(a) be the first derivative of 1/8*a**4 + 1/20*a**5 + 0*a**2 + m*a**3 + 0*a - 6. Factor g(f).
f**3*(f + 2)/4
Suppose 55*f - 49*f - 690 = 0. Suppose -f*s + 155*s - 16 - 12*s**2 - 3*s**3 - 16*s**3 + s**3 = 0. Calculate s.
-2, 2/3
Suppose -t + 6*t = -t. Let d(v) be the first derivative of t*v + 5 - 4*v**2 - 4/3*v**3. Factor d(q).
-4*q*(q + 2)
Let j = 4 + -6. Let r(b) = 8*b**2 - 17*b - 7. Let a(k) = 8*k**2 - 16*k - 6. Let t(g) = j*r(g) + 3*a(g). Find d such that t(d) = 0.
-1/4, 2
Suppose -22 = -3*q - 3*z - 4, z - 2 = 0. Solve -5*g + 5*g**2 - 6*g**q + g**4 + 5*g**3 + 0*g**4 = 0 for g.
-1, 0, 1
Let g be 1/((2/(-1))/((-18)/3)). Factor 0*j - 2/11*j**4 + 0 - 4/11*j**2 - 6/11*j**g.
-2*j**2*(j + 1)*(j + 2)/11
Let d = 873 + -869. Factor 2/5*h**d - 2/5*h**2 + 1/5*h + 0 - 1/5*h**5 + 0*h**3.
-h*(h - 1)**3*(h + 1)/5
Factor 15/2*s**4 - 6 + 12*s**3 - 51/4*s - 3/2*s**2 + 3/4*s**5.
3*(s - 1)*(s + 1)**3*(s + 8)/4
Let d(m) be the first derivative of -8*m**3/21 + 8*m**2/7 - 6*m/7 - 421. Factor d(t).
-2*(2*t - 3)*(2*t - 1)/7
Let y be (25/100)/((-5)/(-40)). Let g = -24/11 + 190/77. Factor -16/7 - 12/7*i**y - 24/7*i - g*i**3.
-2*(i + 2)**3/7
Suppose -3*o + 0*o + 4*i = -38, 2*o - 3*i = 24. Solve 9*g**2 + 10*g + 20*g**4 - 36*g**3 - 4*g**5 + 19*g**2 - o*g = 0.
0, 1, 2
Factor -7*m**2 + 3*m**5 - 9*m**4 - 3*m**3 - 3*m**2 + 25*m**3 - 5*m**4 - m**5.
2*m**2*(m - 5)*(m - 1)**2
Let i(v) be the first derivative of 2*v**5/15 - 2*v**3/3 - 2*v**2/3 - 257. Let i(f) = 0. Calculate f.
-1, 0, 2
Suppose -5*f + 68 = -4*m, 0 = 2*f + 3*f + 4*m - 52. Suppose 5*k - k = f. Solve -2*b**4 - 2*b**2 - 3*b - 3*b**3 + 7*b - 3*b**k + 4*b**4 + 2*b**5 = 0 for b.
-2, -1, 0, 1
Let y(l) be the third derivative of 1/20*l**5 + 1/1050*l**7 - 7/600*l**6 + 0*l + 0*l**3 + 0 + 7*l**2 - 3/40*l**4. Suppose y(u) = 0. What is u?
0, 1, 3
Let x = 869/2 + -6517/15. Let t(i) be the second derivative of -3*i + 1/27*i**3 + 0 + 0*i**2 - 1/18*i**4 - 1/135*i**6 + x*i**5. Factor t(m).
-2*m*(m - 1)**3/9
Let r(p) be the second derivative of 0 - 1/54*p**4 + 2*p + 4/27*p**3 - 4/9*p**2. Find q, given that r(q) = 0.
2
Let k(s) = -s**3 - s**2. Let c(q) = 10*q**3 - 2*q - 1. Let j(v) = c(v) + k(v). Let u be j(2). Factor -2 + 3*d**2 + 60*d - 4 - u*d.
3*(d - 2)*(d + 1)
Let b(h) be the second derivative of 0*h**2 + 15/4*h**4 + 5/3*h**3 + 0 + 1/2*h**6 + 5/2*h**5 + 3*h. Factor b(y).
5*y*(y + 1)*(y + 2)*(3*y + 1)
Find i such that 128 + 1260*i**4 + 196*i**5 - 21*i**2 - 672*i + 4*i**2 + 719*i**3 + 1257*i**3 + 129*i**2 = 0.
-4, -2, -1, 2/7
Let x(q) be