6 + -389516. Factor -30/7*v - 2/7*v**2 + c.
-2*v*(v + 15)/7
Let m be ((-30)/48)/(250/(-40)). Let w(s) be the third derivative of 0 - m*s**4 - 3*s**2 + 0*s - 1/150*s**5 - 3/5*s**3. Suppose w(x) = 0. What is x?
-3
Let r = 41123/35274 + 5/5879. Find t such that 6 - 5*t + r*t**2 - 1/12*t**3 = 0.
2, 6
Let f(o) = 18*o**2 - 38*o + 54. Let d(x) = -22 - x**2 - 5*x - 4 - 9*x**2 + 23*x. Let z(q) = 5*d(q) + 3*f(q). Factor z(t).
4*(t - 4)*(t - 2)
Let q be (5/2)/5 - (-6342)/168. Let u = q + -38. Let -5/4*k + u*k**2 - 3/2 = 0. Calculate k.
-1, 6
Let o(x) = -5*x**3 + 3*x**2 + 2*x - 6. Suppose 0 = 5*i - 3*j + 24, -5*i - 34 = 2*j. Let t(a) = a**3 - a**2 - a + 1. Let n(k) = i*t(k) - o(k). Factor n(f).
-f*(f - 4)*(f + 1)
Let o(n) be the second derivative of -n**5/20 + 17*n**4/6 + 329*n**3/6 + 147*n**2 + 3130*n. Determine u, given that o(u) = 0.
-7, -1, 42
Let u(c) be the first derivative of c**4/8 - 113*c**3/6 - 229*c**2/4 - 115*c/2 + 781. Factor u(z).
(z - 115)*(z + 1)**2/2
Suppose 0 = -133*i + 3113 - 2581. Suppose 4/5*j**i + 12/5*j**2 - 4/5*j + 0 - 12/5*j**3 = 0. What is j?
0, 1
Let y(v) be the second derivative of -v**5/20 + 43*v**4/6 - 83*v**3/6 - 85*v**2 - 834*v - 1. Determine d, given that y(d) = 0.
-1, 2, 85
Let w(g) be the second derivative of -g**7/3360 + 7*g**6/1440 + g**5/480 - 7*g**4/96 + g**3/3 - 65*g. Let c(p) be the second derivative of w(p). Factor c(b).
-(b - 7)*(b - 1)*(b + 1)/4
Let -47/4*t - 1/4*t**2 + 49/2 = 0. What is t?
-49, 2
Suppose -22*c - 302 - 94 = 0. Let x be (20/(-8))/(10/c). Factor x*s + 1/4 + 54*s**3 + 27*s**2.
(6*s + 1)**3/4
Let s(o) be the third derivative of 0*o - 10/3*o**3 + 5/24*o**5 - 5/24*o**4 + 2 - 34*o**2 - 1/48*o**6. Determine n so that s(n) = 0.
-1, 2, 4
Let x = -61537 - -61633. Find c such that -171/2*c**2 + 27/2*c**3 - x + 168*c = 0.
1, 8/3
Let o be 3 + 10 - 29393/2275. Let f(m) be the first derivative of -2/5*m - 4/5*m**3 + 19 - o*m**5 - 4/5*m**2 - 2/5*m**4. Suppose f(z) = 0. Calculate z.
-1
Let b(t) = 2*t + 87. Let l(v) = -v - 86. Let h(a) = -4*b(a) - 3*l(a). Let p(s) = s**2 + 5*s + 88. Let z(j) = -6*h(j) - 5*p(j). Factor z(m).
-5*(m - 5)*(m + 4)
Let r(n) = -n**3 - 10*n**2 - 16*n - 60. Let a be r(-9). Suppose 16*c**2 + 26*c**5 - 10*c**a - 20*c**5 + 4*c**2 - 20*c**4 - 11*c**5 + 15*c = 0. Calculate c.
-3, -1, 0, 1
Let l(y) be the first derivative of y**3/7 - 4953*y**2/14 - 6754. Solve l(v) = 0 for v.
0, 1651
Let m be 51 + -8 - (-3182)/(-74). Let m + 0*r + 11/2*r**2 + 5*r**3 - 1/2*r**4 = 0. What is r?
-1, 0, 11
Let v(y) be the second derivative of 2*y**6/15 + 5*y**5 + 8*y**4 - 3159*y. Let v(c) = 0. What is c?
-24, -1, 0
Let k(q) be the second derivative of -q**4/3 + 7*q**3/3 + 4*q**2 - 102*q - 2. Let l(w) = -w**2 + w. Let b(m) = -k(m) + 6*l(m). Factor b(t).
-2*(t + 2)**2
Suppose 3*n - 89 = 4*r, 4*r - 156 = 9*n - 13*n. Let k = n + -453/13. Factor 2/13*c**2 - 4/13 - k*c.
2*(c - 2)*(c + 1)/13
What is n in -94/3*n + 0 + 2/3*n**2 = 0?
0, 47
Suppose -4*w + 4*y = -24, -4*y + 10 = -w + 25. Solve 144*v**2 + v**4 - 31*v**w + 35*v**3 - 141*v**2 = 0.
-3, -1, 0
Let f(b) = -178*b + 29. Let c be f(-1). Factor -d + 102*d**2 + 0*d + 107*d**2 - c*d**2 - d**3.
-d*(d - 1)**2
Let z = 3791 - 1734. Let q = z + -10251/5. Solve -48/5*p**3 - q*p**4 - 4/5*p - 8/5*p**5 + 0 - 26/5*p**2 = 0.
-2, -1, -1/4, 0
Let g(j) be the first derivative of 0*j + 1/21*j**6 - 44/21*j**3 - 94 - 3/14*j**4 + 16/7*j**2 + 16/35*j**5. Suppose g(n) = 0. Calculate n.
-8, -2, 0, 1
Let p = 1325876/7 + -189400. Factor -p*t**2 + 10*t + 18/7*t**3 - 12/7.
2*(t - 3)*(t - 1)*(9*t - 2)/7
Let p(j) be the third derivative of j**6/540 - j**5/15 - j**4/108 + 2*j**3/3 - 4*j**2 - 3*j. Factor p(u).
2*(u - 18)*(u - 1)*(u + 1)/9
Suppose 0 = 983*u + 487*u - 200 - 2921 + 181. Solve 0 - 1/7*d**3 - 15/7*d + 8/7*d**u = 0 for d.
0, 3, 5
Let h be 2/(-9) + -28 + (-10414)/(-369). Factor 2/11*p**2 + 2/11*p + h.
2*p*(p + 1)/11
Let n(x) be the first derivative of -14*x - 5/2*x**2 - 51 + 1/3*x**3. Determine f so that n(f) = 0.
-2, 7
Let r(d) be the second derivative of -12*d**2 + 7/2*d**3 + 2*d - 14 - 3/80*d**5 - 1/4*d**4. Factor r(f).
-3*(f - 2)**2*(f + 8)/4
Factor 2/11*u**5 + 0 + 0*u + 24/11*u**3 + 16/11*u**2 + 12/11*u**4.
2*u**2*(u + 2)**3/11
Let c = 272 - 270. Factor c*o**3 + 7*o**2 + 383*o**5 + 5*o**4 + 2*o - 382*o**5 + 7*o**3.
o*(o + 1)**3*(o + 2)
Let c(h) be the second derivative of -6/5*h**2 + 52*h + 0 - 2*h**3 - 9/20*h**4. Factor c(b).
-3*(b + 2)*(9*b + 2)/5
Let b(a) be the second derivative of 1/42*a**7 - 7/30*a**6 + 19/20*a**5 - 2*a**2 - 3*a - 25/12*a**4 + 13 + 8/3*a**3. Factor b(l).
(l - 2)**2*(l - 1)**3
Let k(o) be the third derivative of 0*o + 1/3*o**5 + 1/24*o**6 + 0*o**3 - 35*o**2 + 5/8*o**4 + 0. Find s, given that k(s) = 0.
-3, -1, 0
Let s(g) = 3*g**3 + 26*g**2 - 13*g - 25. Let v be s(-9). Let l(m) be the third derivative of m**3 + 0*m - 1/6*m**4 + v*m**2 + 1/90*m**5 + 0. Factor l(z).
2*(z - 3)**2/3
Let a = 25878599479/4788 + -5404887. Let g = -1/252 + a. Factor -g*t + 0*t**2 + 0*t**4 + 4/19*t**3 - 2/19*t**5 + 0.
-2*t*(t - 1)**2*(t + 1)**2/19
Let q(i) be the third derivative of i**7/280 + i**6/60 - 3*i**5/40 - 6*i**3 + 21*i**2. Let t(x) be the first derivative of q(x). Solve t(f) = 0.
-3, 0, 1
Suppose 4*c + 2*y - 202 = 0, 0 = -2*c + 8*y - 3*y + 71. Determine t, given that -98 - c*t + 119 + 171 + 7*t**2 - 4*t**2 = 0.
8
Let c = 98 - 29. Factor -31*w + 22*w**3 + 52 + 44*w**2 - 18*w**3 - c*w.
4*(w - 1)**2*(w + 13)
Let v(o) = -2*o**2 + o - 1. Let c(n) = 3*n**2 + 21*n + 1. Let h(a) = -2*a**2 - a. Let r(g) = c(g) - 3*h(g). Let m(t) = -5*r(t) + 5*v(t). Factor m(b).
-5*(b + 2)*(11*b + 1)
Let f = 438/5 + -851/10. Suppose 3*r - 55 = -8*r. Let f*x**2 + 5/2 + r*x = 0. What is x?
-1
Suppose 0 = -70*f + 79*f. Factor -9*j**3 + 4*j**4 + 16*j**4 - 4*j**5 - 15*j**3 + f*j**5.
-4*j**3*(j - 3)*(j - 2)
Let j = -13/3586 + 143557/32274. Factor -2*t**2 + 16/3*t + 2/9*t**3 - j.
2*(t - 5)*(t - 2)**2/9
Let r(h) be the first derivative of -h**7/210 + h**6/45 + h**5/10 + h**3/3 + 19*h**2/2 + 65. Let i(y) be the third derivative of r(y). Solve i(s) = 0 for s.
-1, 0, 3
Let c(o) be the second derivative of 13*o**7/35 + 76*o**6/25 - 96*o**5/25 - 152*o**4/5 + 48*o**3/5 - o + 944. Suppose c(h) = 0. What is h?
-6, -2, 0, 2/13, 2
Let h(n) = n**2 - 8*n. Let j be h(6). Let f be (3/(-2))/(j/(-64)*-4). Suppose -3*w**2 + 12*w**3 + 7*w**4 - 75*w + 6*w**f + 73*w = 0. Calculate w.
-1, 0, 2/7
Let m = -247252 - -247256. Find k, given that 72*k - 142/5*k**2 + 10*k**m - 108*k**3 - 88/5 = 0.
-1, 2/5, 11
Let a be (-768)/1680 - 6/(-10). Factor -2/7*b + a*b**2 + 1/7.
(b - 1)**2/7
Let s = -4/353 - -369/1412. Let k be (-1)/(-12)*-2 + 13/6. Determine x so that -x + s*x**k - 5/4 = 0.
-1, 5
Let g(q) = -91*q**2 - 1097*q + 324. Let x(n) = -10*n**2 + 3. Let m(j) = -g(j) + 8*x(j). Determine d so that m(d) = 0.
-100, 3/11
Let n = 120 + -72. Suppose -n*m**2 - 3*m**3 - 2*m**4 - 4*m**3 - 15*m**3 + 72*m = 0. What is m?
-6, 0, 1
Let p(t) = -t**4 - 2*t**3 - t**2 + t + 1. Let w(u) = -25*u**4 - 60*u**3 - 35*u**2 + 20*u + 20. Let g(d) = -20*p(d) + w(d). Factor g(j).
-5*j**2*(j + 1)*(j + 3)
Let v be (-3 - -5) + (11 - 2). Suppose 3*w + 12 = 0, -p - 2*w - 2*w - v = 0. Factor 20*j**4 - 60*j**2 - 45*j + 23*j**3 - p*j**3 - 5*j**5 - 8*j**3.
-5*j*(j - 3)**2*(j + 1)**2
Let o be (-57)/(-6)*-6*(-3 + 2). Factor -57*r**3 + 109*r**3 + 25*r**2 - 40*r + 20 - o*r**3.
-5*(r - 2)**2*(r - 1)
Let x be 2/(-60)*783/(-36) - 198/330. Let m(c) be the third derivative of 0*c - 1/24*c**6 - 1/168*c**7 - 5/24*c**3 + 0 - 5/24*c**4 + c**2 - x*c**5. Factor m(l).
-5*(l + 1)**4/4
Let p(h) be the first derivative of h**6/30 - 67*h**5/25 - h**4/20 + 67*h**3/15 - 1234. Solve p(x) = 0 for x.
-1, 0, 1, 67
Let k(a) be the second derivative of -a**4/36 - 13*a**3/3 - 77*a**2/6 + 1245*a. Determine m so that k(m) = 0.
-77, -1
Let u(k) be the first derivative of k**9/4536 + k**8/840 + k**7/630 - 112*k**3/3 + 116. Let y(g) be the third derivative of u(g). Solve y(m) = 0 for m.
-2, -1, 0
Solve -48 + 3/4*q**2 + 45/2*q = 0 for q.
-32, 2
Let h(a) = -30*a**3 + 460*a**2 + 1550*a + 1495. Let o(u) = u**3 - 4*u**2 - 2*u + 1. Let l(y) = h(y) + 25*o(y). Find w such that l(w) = 0.
-2, 76
Let m(s) = -11*s**2 - 6011*s - 4493996. Let j(t) = 52*t**2 + 30050*t + 22469982. Let y(w) = 3*j(w) + 14*m(w). Factor y(o).
2*(o