 0, 2, 6
Let y(g) be the second derivative of -g**6/10 - 3*g**5/4 + 15*g**4/4 + 5*g**3/2 - 21*g**2 + 588*g. Solve y(k) = 0 for k.
-7, -1, 1, 2
Let o(f) be the third derivative of 0 + 1/39*f**3 + 1/39*f**4 + 3*f**2 - 15*f - 1/455*f**7 + 1/195*f**5 - 1/195*f**6. What is m in o(m) = 0?
-1, -1/3, 1
Let -62/5*s + 2/3*s**3 + 28/15*s**2 + 12/5 = 0. What is s?
-6, 1/5, 3
Let h(n) be the first derivative of -n**3/3 + n**2 + 48*n + 2478. Let h(r) = 0. Calculate r.
-6, 8
Suppose 148/7*s**3 + 0 - 20/7*s**4 - 176/7*s**2 + 48/7*s = 0. Calculate s.
0, 2/5, 1, 6
Let h(l) = -l**3 + 406*l**2 - 3179*l - 40. Let c be h(8). Solve c*q**3 + 32/7 + 2/7*q**4 + 0*q - 16/7*q**2 = 0.
-2, 2
Let i(k) = 110*k - 2. Let l be i(-4). Let t = 460 + l. Find q, given that 0 + 12*q - t*q**2 - 3/2*q**4 + 9*q**3 = 0.
0, 2
Suppose -16 + 4 = -6*w. Suppose -2*c + 14 = w*u, 4*u + 3*c - 18 = 4*c. Factor -74*r**4 + 3*r**u + 82*r**4 - r**5.
2*r**4*(r + 4)
Let n = 47387/3 + -15795. Let g(r) be the second derivative of -35*r + n*r**3 + 1/6*r**4 - 3*r**2 + 0. Factor g(p).
2*(p - 1)*(p + 3)
Solve 129 - 11/2*z**2 - 1417/2*z = 0.
-129, 2/11
Let p be ((-1)/(-10))/((-18)/89436). Let g = 497 + p. Determine y, given that g*y**3 + 4/15*y + 0 - 2/5*y**2 = 0.
0, 1, 2
Let a(g) be the first derivative of -19*g**3/9 - 29*g**2/3 - g - 1404. Factor a(p).
-(p + 3)*(19*p + 1)/3
Suppose 13*i - 52 = 3*y, -5*y - i - 64 = -68. Determine q, given that q**2 - 1/5*q**3 + y + 6/5*q = 0.
-1, 0, 6
Suppose -23 = 4*m + 37. Let z be (-1)/((-10)/24) - (-6)/m. Determine n, given that -3 - n**2 + 2*n**2 + 8 - 4*n - z = 0.
1, 3
Let r(u) be the second derivative of u**5/20 - u**4/6 - 7*u**3/2 - 9*u**2 + 771*u. Solve r(o) = 0 for o.
-3, -1, 6
Suppose 12 = 2*y, -l + 6*y = 7*y - 9. Let i(r) be the first derivative of 0*r + 13 + 16/5*r**5 + 0*r**2 + 0*r**l + 4*r**4 + 2/3*r**6. Factor i(b).
4*b**3*(b + 2)**2
Let w(x) be the first derivative of 61*x**5 + 320625/2*x**2 + 5/6*x**6 + 253125*x + 3525/2*x**4 + 99 + 24750*x**3. Factor w(s).
5*(s + 1)*(s + 15)**4
Suppose -33*i + 9114 = -5010. Solve 22*d**5 + 112*d**3 + 193 - 116*d**2 - i + 136*d**4 - 134*d + 215 = 0.
-5, -1, -2/11, 1
Let y(m) be the third derivative of -35*m**2 + m + 23/132*m**4 + 529/66*m**3 + 1/660*m**5 + 0. Suppose y(k) = 0. Calculate k.
-23
Let r(c) be the second derivative of -c**5/30 - 28*c**4/3 - 765*c**3 + 14450*c**2/3 - 849*c + 1. Factor r(u).
-2*(u - 2)*(u + 85)**2/3
Let s(d) be the third derivative of d**7/2100 - d**6/900 - d**5/150 + 19*d**3/6 + d**2 - 31. Let n(b) be the first derivative of s(b). Solve n(v) = 0 for v.
-1, 0, 2
Let h(y) be the third derivative of y**8/1848 - y**7/77 + 14*y**6/165 + 24*y**2 + 43*y. Factor h(f).
2*f**3*(f - 8)*(f - 7)/11
Let s(b) be the third derivative of 17/6*b**5 - 1445/24*b**4 + 0*b - 1/24*b**6 + 0*b**3 - 239*b**2 + 0. Factor s(t).
-5*t*(t - 17)**2
Let u = -361155 - -361157. Factor -4/7 + 2*w - 10/7*w**u.
-2*(w - 1)*(5*w - 2)/7
Let l = 574 + -540. Suppose -49*a + l = -32*a. Factor -6/13*g + 0 + 2/13*g**a.
2*g*(g - 3)/13
Let c = -4073/282 + 718/47. Determine o, given that -1690/3 - 130/3*o - c*o**2 = 0.
-26
Suppose 6*k - 3*l + 21 + 0 = 0, -6 - 20 = -2*l. Factor 22/3*j + 121/3 - 1/3*j**4 - 40*j**2 - 22/3*j**k.
-(j - 1)*(j + 1)*(j + 11)**2/3
Let v = 118 + -127. Let n be 21/15 - (10 + v). Determine g so that -2/5*g**4 - n*g**2 - 6/5*g**3 + 4/5 + 6/5*g = 0.
-2, -1, 1
Suppose 5*t - 23 = -3*y, 0 = -3*y + 3*t + 40 - 1. Suppose y = 4*k - q + 2, -15 = -k - 4*q. Factor 3*u**3 + 6*u**k - 7*u**2 - 12*u + 3*u**4 + 7*u**2.
3*u*(u - 1)*(u + 2)**2
Suppose 0 = 5*x - 4*r + 13, 0 = -2*x + 3*r + 2*r + 5. Let n(q) = -3*q**2 - 14*q + 8. Let b be n(x). Let -22/15*w**2 - 8/5*w - 2/5*w**b - 8/15 = 0. What is w?
-2, -1, -2/3
Let g be 2/(-4)*(-665)/266*6/5. Let t = 13 - 11. Find f, given that -g + 9*f - 15/2*f**t = 0.
1/5, 1
Let r(p) = p**2 + 19*p - 29. Let s be r(-18). Let k = 328 - s. Factor -870*c**2 - 303*c + 3*c**5 + 607*c + 318*c**3 + 671*c - k - 51*c**4.
3*(c - 5)**3*(c - 1)**2
Let w(a) be the second derivative of -7/36*a**4 - 4/3*a**2 - 135*a - a**3 + 0 + 1/20*a**5. Factor w(l).
(l - 4)*(l + 1)*(3*l + 2)/3
Suppose 5*u - 41 = 5*y - 171, -4*y - 3*u + 132 = 0. Solve 17 - 17 + 114*d**2 + 27*d**3 - y - 111*d = 0.
-5, -2/9, 1
Let m(p) be the second derivative of p**6/60 - p**5/10 - p**4/12 + p**3 - 20*p**2 - p + 4. Let i(o) be the first derivative of m(o). Factor i(a).
2*(a - 3)*(a - 1)*(a + 1)
Let w be (2 - (-24)/(-9))/(((-220)/(-99))/(-10)). Factor 1/3*i**w + 0 + 3*i**2 + 0*i.
i**2*(i + 9)/3
Let q = -22707/50 + 27987/50. Factor 17424/5 + 4/5*u**2 + q*u.
4*(u + 66)**2/5
Let r be (4/6)/(3 - (-410)/(-138)). Factor r*d - 56*d**4 - 80 + 115*d**4 - 54*d**4 - 20*d**3 + 57*d.
5*(d - 2)**3*(d + 2)
Let u(p) be the first derivative of -p**4 - 536*p**3/3 - 3521. Suppose u(f) = 0. Calculate f.
-134, 0
Determine u, given that -48/5 + 8/5*u**5 - 28/5*u**4 - 24/5*u**3 + 124/5*u**2 - 32/5*u = 0.
-2, -1/2, 1, 2, 3
Let a be (-231)/(-45) + (-1)/(-5). Let f = -253631 - -760918/3. Factor 40/3*h + f + a*h**2.
(4*h + 5)**2/3
Suppose -139 = -3*s + 5*u, -925*u = s - 921*u - 1. Factor -1/2*p**2 + s*p - 1089/2.
-(p - 33)**2/2
Suppose -5*l + 4 = -10*t + 9*t, 0 = 5*t - l - 76. Let g(x) = -2*x**3 + 33*x**2 - 18*x + 35. Let k be g(t). Factor 2/5 - 9/5*z**2 + 3/5*z**4 + 1/5*z**k + 3/5*z.
(z - 1)**2*(z + 2)*(3*z + 1)/5
Suppose 0 = -0*s + 5*s + 5*x - 260, 3*s - 140 = x. Let j be ((-132)/24)/((-2)/4). Factor 22*z**2 + j*z**2 - 3*z**3 - 5*z**2 - 24*z - s - 7*z**2.
-3*(z - 4)**2*(z + 1)
Let g be ((-12628)/(-16))/(-11) + 1/(-4). Let q be ((g/(-6))/72)/(1/4). Solve -14/3*v**3 - 50/9*v**4 - 2*v**5 - q*v**2 + 0 + 4/9*v = 0 for v.
-1, 0, 2/9
Let m = 325 + -2015. Let r = m - -5074/3. Find s, given that 1/3*s**3 - s**2 - r*s + 0 = 0.
-1, 0, 4
Let h(y) be the third derivative of 0*y + 10/3*y**3 - 1/42*y**7 - 1/4*y**5 - 6 - 5/24*y**6 + 25/24*y**4 - 4*y**2. Solve h(q) = 0 for q.
-4, -1, 1
Let u(s) be the second derivative of s**5/4 - 35*s**4/12 + 25*s**3/3 - 339*s - 2. Solve u(o) = 0 for o.
0, 2, 5
Let f(g) be the first derivative of g**6/24 - 3*g**5/4 + 7*g**4/8 + 1290. Find u such that f(u) = 0.
0, 1, 14
Let c(p) be the first derivative of 10*p**3 + 18 - 6*p**5 + 0*p - 5/4*p**4 + 5/6*p**6 + 0*p**2. Factor c(d).
5*d**2*(d - 6)*(d - 1)*(d + 1)
Let f(o) = -2*o**3 - 34*o**2 - 638*o - 10841. Let s be f(-17). Find w such that 1/5*w**2 - 1/5*w**4 - 1/5*w**s + 1/5*w**3 + 0*w + 0 = 0.
-1, 0, 1
Let z(g) be the second derivative of 1/12*g**6 - 13 + g - 15/4*g**2 - 25/12*g**4 - 95/24*g**3 - 3/8*g**5 + 5/168*g**7. Factor z(v).
5*(v - 3)*(v + 1)**3*(v + 2)/4
Let l(y) be the second derivative of -y**6/40 + 24*y**5/5 + 259*y**4/16 + 65*y**3/4 - y - 6. Determine z, given that l(z) = 0.
-1, 0, 130
Let s(v) = 12*v**2 + 2*v + 7. Let b(l) be the first derivative of -11*l**3/3 - l**2/2 - 6*l - 44. Let p(k) = 7*b(k) + 6*s(k). Determine c so that p(c) = 0.
0, 1
What is q in 2456/3*q - 544/3 - 1670/3*q**3 + 25/3*q**4 - 692*q**2 = 0?
-2, 2/5, 68
Let j(v) = -9*v**5 - 5*v**4 + 4*v**3 - 5*v**2. Let x(a) = -26*a**5 - 14*a**4 + 12*a**3 - 14*a**2. Suppose 2*h = 9 + 19. Let q(t) = h*j(t) - 5*x(t). Factor q(b).
4*b**3*(b - 1)*(b + 1)
Let w(f) be the second derivative of -17/48*f**3 - 218*f + 0*f**2 + 1/96*f**4 + 0. Solve w(g) = 0 for g.
0, 17
Let p = -11692 + 140309/12. Let g(l) be the first derivative of -1/9*l**3 - 1/30*l**5 - 1/36*l**6 + 1/4*l**4 - p*l**2 - 22 + 1/2*l. Find d, given that g(d) = 0.
-3, -1, 1
Let u(v) be the second derivative of v**10/30240 - 16*v**4/3 + 2*v. Let k(w) be the third derivative of u(w). Let k(z) = 0. Calculate z.
0
Let p = -521 - -523. What is a in -96*a + 13*a**p - 2*a**2 - 93 - 14*a**2 = 0?
-31, -1
Suppose -2*h - 3*b + 93 + 14 = 0, 4*b = -3*h + 158. Let v = h - 44. Suppose o**v + 69*o + 0*o**2 - 68*o + 11*o**4 - 4*o**5 - 9*o**3 = 0. What is o?
-1/4, 0, 1
Let p(y) be the first derivative of -3*y**4/2 + 3044*y**3/3 - 192532*y**2 - 258064*y - 821. Factor p(c).
-2*(c - 254)**2*(3*c + 2)
Let a be -87 + (-88660)/(-990) - -4*(-1)/(-9). Find l such that -16/7 + 12/7*l + 60/7*l**4 + 164/7*l**a + 132/7*l**2 = 0.
-1, 4/15
Find q, given that -9*q**4 - 144*q + 25*q**4 - 204*q**2 - 4*q**3 + 23862 - 23862 = 0.
-3, -3/4, 0, 4
Suppose -74*j**3 + 443/2*j - 1/4*j**4 - 148 + 3/4*j**2 = 0. Calculate j.
-296, -2