+ 6)**3/4
Let z(t) be the third derivative of 0*t + 13/1020*t**6 + 0*t**3 - 82*t**2 + 11/510*t**5 - 1/102*t**4 + 0. Find v such that z(v) = 0.
-1, 0, 2/13
Let r(x) be the third derivative of -x**2 + 0*x**3 + 1/336*x**8 + 1/60*x**5 + 0*x**4 + 13 + 1/70*x**7 + 0*x + 1/40*x**6. Find o, given that r(o) = 0.
-1, 0
Let r(t) be the first derivative of 0*t + 0*t**2 - 3/10*t**4 + 49 - 1/5*t**3 - 3/25*t**5. Factor r(o).
-3*o**2*(o + 1)**2/5
Let y(q) be the first derivative of q**6/6 - 11*q**5 - 2*q**4 + 440*q**3/3 + 8*q**2 - 880*q + 3416. What is f in y(f) = 0?
-2, 2, 55
Let d(c) be the third derivative of 59*c**2 + 23/144*c**4 + 1/120*c**5 + 0 - 2/9*c**3 + 0*c. Factor d(a).
(a + 8)*(3*a - 1)/6
Let l(y) = 8*y**2 + 2620*y + 28. Let q(o) = 9*o**2 + 2620*o + 35. Let g(j) = 5*l(j) - 4*q(j). Factor g(n).
4*n*(n + 655)
Let b(x) = 21*x**3 - 1280*x**2 - 3961*x - 2569. Let g(i) = -10*i**3 + 640*i**2 + 1978*i + 1286. Let p(s) = 6*b(s) + 13*g(s). Factor p(d).
-4*(d - 163)*(d + 1)*(d + 2)
Determine q, given that -3*q**2 + 486 - 22540*q + 43867*q - 21810*q = 0.
-162, 1
Suppose 222*h = 203*h. Let s(r) be the third derivative of 0*r**6 + 0*r - 9*r**2 - 1/9*r**3 + h + 1/72*r**5 - 1/1260*r**7 + 0*r**4. What is w in s(w) = 0?
-2, -1, 1, 2
Find j such that 68/3*j**2 + 64/3 + 128/3*j + 10/3*j**3 = 0.
-4, -2, -4/5
Let o be 418*(-172)/(-2365) + (0 - 30). What is s in 7442/5 - 242/5*s**2 - o*s**3 - 7198/5*s = 0?
-61, 1
Let h(x) be the second derivative of -x**5/4 + 355*x**4/12 - 695*x**3/6 + 345*x**2/2 - 2*x - 11. Factor h(l).
-5*(l - 69)*(l - 1)**2
Suppose -6*o**2 - 84/13 - 166/13*o - 8/13*o**3 = 0. Calculate o.
-7, -2, -3/4
Let l = 181803179/464800 + 3/66400. Factor 148/7*f - l - 2/7*f**2.
-2*(f - 37)**2/7
Let g(a) be the first derivative of a**4/12 + 11*a**3/6 + 5*a + 118. Let q(z) be the first derivative of g(z). Let q(l) = 0. Calculate l.
-11, 0
Let l = -272759/120 - -2273. Let d(m) be the third derivative of -3/4*m**3 - 21*m**2 - 1/8*m**4 + 0 - l*m**5 + 0*m. Suppose d(g) = 0. Calculate g.
-3
Let i be 1209/465*(-4)/(-26). Let k(z) be the first derivative of 29 + 6/5*z + 3/10*z**2 - 3/20*z**4 - i*z**3. Solve k(y) = 0 for y.
-2, -1, 1
Determine j so that 2/9*j**2 + 280/9 + 22/3*j = 0.
-28, -5
Factor -353 + 5*f**4 - 307 + 245*f**3 + 1390*f + 100 - 1506*f**2 + 15*f**3 + 411*f**2.
5*(f - 2)*(f - 1)**2*(f + 56)
Factor 4*o**2 + 7*o**2 + 8*o**2 - 26*o**2 - 2*o + 8*o**2.
o*(o - 2)
Let a(n) be the second derivative of -n**5/35 - 6*n**4/7 - 22*n**3/3 + n + 452. Let a(z) = 0. What is z?
-11, -7, 0
Let j(m) = -9*m**2 + 20*m - 1. Let r be j(2). Suppose -3*u + 3*n = -r, 3*n + 4 = u + 9. Factor 1/2*x**5 + x**4 - x**3 - 7/2*x - u*x**2 - 1.
(x - 2)*(x + 1)**4/2
Suppose 13*l + 15 = 10*l, 2*t - l + 991 = 0. Let g be 415/t - 53*2/(-60). Suppose -8/3*u - 14/5*u**2 + 4/15*u**3 + g*u**4 - 8/15 = 0. Calculate u.
-1, -2/7, 2
Let o(u) be the first derivative of 392/3*u + 180 + 1/18*u**3 + 14/3*u**2. Factor o(a).
(a + 28)**2/6
Factor 2*l**2 - 40/7 + 12/7*l - 3/7*l**3 - 1/7*l**4.
-(l - 2)**2*(l + 2)*(l + 5)/7
Suppose -2/15*r**2 - 22/3*r + 112/15 = 0. Calculate r.
-56, 1
Let q(y) be the third derivative of 1/105*y**7 + 0*y**4 + 0*y**3 + 0*y + 0 + 1/5*y**5 - 1/12*y**6 - 83*y**2. Suppose q(r) = 0. What is r?
0, 2, 3
Let o be (-4)/140*18*(382 + -389). Suppose o*b**2 - 2/5*b**4 + 0 + 0*b + 0*b**3 = 0. Calculate b.
-3, 0, 3
Let i(b) be the second derivative of -b**4/96 - 25*b**3/24 - 6*b**2 - 5*b + 209. Suppose i(p) = 0. Calculate p.
-48, -2
Let i be 995/(-9) - 2*(-36)/24. Let j = 108 + i. Suppose 2/9*g**3 + j*g**2 - 4/9 - 2/9*g = 0. What is g?
-2, -1, 1
Let y = -3502/9 - -1184/3. Let m = 455087/9 + -50563. Factor -2/9*r**2 - y - m*r.
-2*(r + 5)**2/9
Suppose 0 = 5*d + 3*q + 733, -5*d + 3*q = -q + 726. Let p = 216 + d. Factor -58*u - 31*u**3 + 16 - 18*u**3 + 164*u**2 - p*u - 3*u**3.
-4*(u - 2)*(u - 1)*(13*u - 2)
Factor -219/8*p + 109/8 + 1/4*p**2.
(p - 109)*(2*p - 1)/8
Factor -3/4*t**5 - 5505/4*t**4 - 2020335/2*t**3 - 272116900815/4*t - 19973380519821/4 - 741462945/2*t**2.
-3*(t + 367)**5/4
Factor 676/15*u + 0 + 2/15*u**2.
2*u*(u + 338)/15
Suppose -8 = 11*o - 30. Determine p, given that -877*p + 845*p - 68*p**o - 16*p**2 + 16 = 0.
-2/3, 2/7
Let a(c) be the second derivative of 2/63*c**7 + 0*c**2 + 8/5*c**5 + 16/45*c**6 + 0 + 32/9*c**4 + 32/9*c**3 + 86*c. Factor a(z).
4*z*(z + 2)**4/3
Let t be 40/8 - (-5 - 36/(-9)). Let m(q) be the third derivative of 0 - 1/12*q**3 + 0*q + 1/720*q**t - 5/144*q**4 - 1/360*q**5 - 9*q**2. Factor m(z).
(z - 3)*(z + 1)**2/6
Let z = 387 + -365. Let f be -6 + z/3 + (-1)/(-6). Factor f*c + 1 + 1/2*c**2.
(c + 1)*(c + 2)/2
Let w = -68 - -71. Let n(v) be the first derivative of -w + 1/4*v**4 + 1/6*v**3 - 1/2*v**2 + 0*v - 1/10*v**5. Let n(x) = 0. What is x?
-1, 0, 1, 2
Let u(p) = -13*p**2 + 21*p + 549. Let y(g) = -140*g**2 + 232*g + 6036. Let m(d) = 32*u(d) - 3*y(d). Factor m(z).
4*(z - 15)*(z + 9)
Let x(n) = -n**3 - 15*n**2 - 20*n - 77. Let o be x(-14). Let y be (-4)/4 + ((-88)/(-10) - o). Factor -y + 0*j + 1/5*j**2.
(j - 2)*(j + 2)/5
Suppose -4*s = -2*a - 2, 3*s = -2*s - 5*a + 25. Factor 1/9*v**s + 4/9 - 5/9*v.
(v - 4)*(v - 1)/9
Let u be (-22 - 0)*(-9 - -11). Let n = u + 48. Factor -6 - 4*t**n + t**4 - 6*t + 9 + 4*t**3 + 2*t**3.
-3*(t - 1)**3*(t + 1)
Let i(k) = 4*k**2 + 10*k + 1. Let o be i(-3). Factor o*q**2 - 5*q - 12 - 7*q + 8*q + 9*q**2.
4*(q - 1)*(4*q + 3)
Let v(p) be the first derivative of p**9/3780 - p**8/2100 - p**7/525 - 2*p**3/3 + 25*p**2 + 8. Let b(f) be the third derivative of v(f). Factor b(x).
4*x**3*(x - 2)*(x + 1)/5
Suppose -c - 83 = -136. Determine z so that -20*z + c*z**2 - 1788 + 1788 + 107*z**2 + 85*z**3 = 0.
-2, 0, 2/17
Let z be (-5)/(-2) - (-71 + 20451/306). Solve z*l + 0 + 2/3*l**2 = 0.
-10, 0
Let i be (21/14)/(18/96). Solve -21304*l**4 + 21306*l**4 - i*l**3 + 2*l**3 - 8*l**2 = 0.
-1, 0, 4
Let h(j) be the third derivative of -7/144*j**6 - 1/36*j**5 + 0*j**3 + 5/288*j**8 - 2*j**2 + 1/126*j**7 + 0*j + 23 + 0*j**4. Find g, given that h(g) = 0.
-1, -2/7, 0, 1
Let q(t) be the third derivative of -t**6/300 - 713*t**5/300 - 15931*t**4/30 - 15842*t**3/15 + 19*t**2 - 25*t. Factor q(u).
-(u + 178)**2*(2*u + 1)/5
Let j(o) be the first derivative of o**6/40 + o**5/20 - o**4/4 - 27*o**2/2 + 3*o - 47. Let f(t) be the second derivative of j(t). Factor f(n).
3*n*(n - 1)*(n + 2)
Suppose -2*n - 17 = -n + 5*k, 1 = -n - k. Let i(c) = 2*c + 1. Let b(a) = a**2 + 5. Let f(w) = n*i(w) + b(w). Factor f(q).
(q + 2)*(q + 4)
Suppose -210 = 9*y - 4*y. Let l be (-120)/(-16) + y/6. Factor 0 - w**2 + l*w + 1/2*w**3.
w*(w - 1)**2/2
Factor 2/11*p**3 - 150/11*p**2 + 2016/11*p + 31752/11.
2*(p - 42)**2*(p + 9)/11
Let i = -1541892 - -4625678/3. Factor i*n**2 - 18/5*n + 4/3.
2*(n - 5)*(5*n - 2)/15
Let j(p) be the first derivative of p**5/10 - 17*p**4/12 + 20*p**3/3 - 8*p**2 - 61*p + 46. Let s(n) be the first derivative of j(n). Factor s(l).
(l - 4)**2*(2*l - 1)
Factor 27/5*k**2 + 3/5*k**4 + 294/5 + 33/5*k**3 - 357/5*k.
3*(k - 2)*(k - 1)*(k + 7)**2/5
Suppose -12 = 10*a - 4*a. Let p(m) = m**2 + m. Let x(y) = 2*y**2 + 2*y. Let g(q) = a*x(q) + 6*p(q). Find s, given that g(s) = 0.
-1, 0
Factor -273181750/3 - 1030*w**2 + 530450*w + 2/3*w**3.
2*(w - 515)**3/3
Let f = 489439700547/8396 - 58294390. Let r = -2/2099 + f. Factor 7/4 - r*b**2 - 3/2*b.
-(b - 1)*(b + 7)/4
Suppose 4*r + 32 = 4*x, -5*x - 820*r + 817*r = -16. Let m(h) be the second derivative of 0*h**2 + 1/110*h**x - 26*h + 4/33*h**3 - 2/33*h**4 + 0. Factor m(i).
2*i*(i - 2)**2/11
Let h(g) be the third derivative of 11*g**2 - 1/18*g**4 + 1/60*g**5 + 0*g + 1/18*g**3 + 0. Solve h(b) = 0 for b.
1/3, 1
Solve -10049*d**2 - 2*d**4 + 3886*d**2 + 2242 - d**4 + 2052 - 244 - 271*d**3 - 1845*d = 0.
-45, -1, 2/3
Let s(d) be the first derivative of -9/10*d**5 - 111/4*d**4 - 6*d**2 - 43 + 0*d - 145/6*d**3. Find q, given that s(q) = 0.
-24, -1/3, 0
Let f(g) be the third derivative of g**6/30 - 271*g**5/15 - 1093*g**4/8 - 411*g**3 + 5*g**2 + 9*g. Factor f(u).
(u - 274)*(2*u + 3)**2
Solve 216/13*k**2 + 0 + 0*k + 2/13*k**5 - 430/13*k**3 + 212/13*k**4 = 0.
-108, 0, 1
Let l(y) be the first derivative of -y**6/5 - 32*y**5/25 + 61*y**4/10 - 52*y**3/15 - 16*y**2/5 + 831. Suppose l(c) = 0. Calculate c.
-8, -1/3, 0, 1, 2
Let a(r) be the second derivative of 20*r**2 + 