(-8 + 14). Let f(y) be the first derivative of 11/13*y**2 - n + 20/13*y + 2/39*y**3. What is d in f(d) = 0?
-10, -1
What is w in 416/11*w**2 + 2/11*w**4 + 0 - 112/11*w**3 + 0*w = 0?
0, 4, 52
Determine i so that -1810*i**2 + 5*i**3 + 0*i**3 + 1789 - 349 - 5*i + 370 = 0.
-1, 1, 362
Let y(n) be the first derivative of n**3 - 31*n**2 - 21*n - 11135. Factor y(c).
(c - 21)*(3*c + 1)
Factor -m**4 - 28*m**2 - 139 + 5*m**4 - 24*m + 73 + 66.
4*m*(m - 3)*(m + 1)*(m + 2)
What is m in 5*m**5 + 205*m**4 + 2798*m + 125*m**2 - 2738*m - 3*m**5 - 410*m**3 + 18*m**5 = 0?
-12, -1/4, 0, 1
Let w(v) be the first derivative of 0*v + 4*v**3 + 3/20*v**4 + 30*v**2 - 38. Factor w(i).
3*i*(i + 10)**2/5
Let o = -322967 - -322969. Factor 8/9*d - 8/9*d**3 - 2/9*d**o + 2/9.
-2*(d - 1)*(d + 1)*(4*d + 1)/9
Let b(q) be the third derivative of q**5/60 - q**4/8 + 2*q**2 + 102*q. Let w be b(0). Factor w*i - 1/5 + 1/5*i**2.
(i - 1)*(i + 1)/5
Let q be (-4)/(-3)*((-378)/(-12))/(-7). Let n be (-36)/20*10/q. Factor 2*y**n - 42*y + 36*y - 3 - 1.
2*(y - 2)*(y + 1)**2
Let n(u) be the second derivative of u**7/42 - 16*u**6/45 - 43*u**5/60 + 61*u**4/3 - 530*u**3/9 + 200*u**2/3 + 212*u + 4. Suppose n(d) = 0. Calculate d.
-5, 2/3, 1, 4, 10
Solve -2*w + 11818*w**3 + 156 - 5908*w**3 - 156*w**2 - 5908*w**3 = 0.
-1, 1, 78
Let y(u) be the third derivative of 2*u**5/15 - 55*u**4/6 - 100*u**3 + 62*u**2 - 16. Factor y(r).
4*(r - 30)*(2*r + 5)
Let g = -357 - -359. Factor 2*w**3 - 47795*w**4 + g*w**3 - 6*w**2 + 47797*w**4.
2*w**2*(w - 1)*(w + 3)
Let g(w) be the first derivative of 8*w**6 + 172*w**5/5 + 25*w**4 - 128*w**3/3 - 24*w**2 - 107. What is h in g(h) = 0?
-2, -1/3, 0, 3/4
Let s(o) = -1984*o - 89278. Let k be s(-45). Determine a, given that -1156/7 - 136/7*a + 136/7*a**3 + 1152/7*a**k + 4/7*a**4 = 0.
-17, -1, 1
Let k(f) be the second derivative of -f**9/3780 - f**8/560 - f**7/315 - f**4/12 + 25*f**3/6 - 7*f + 7. Let x(u) be the third derivative of k(u). Factor x(c).
-4*c**2*(c + 1)*(c + 2)
Let v(s) = -s**3 + 32*s**2 - 57*s - 48. Let l be v(30). Solve 0*o - l*o - 37*o - 36*o - 5*o**2 = 0 for o.
-23, 0
Let k(t) = 3*t**4 - 1592*t**3 - 1588*t**2 + 1602*t + 1600. Let c(g) = -g**4 + 797*g**3 + 795*g**2 - 801*g - 800. Let p(z) = -5*c(z) - 2*k(z). Factor p(r).
-(r - 1)*(r + 1)**2*(r + 800)
Let p(f) be the second derivative of 1/130*f**5 - 11/13*f**2 - 1/39*f**3 + 3 + 10*f + 11/78*f**4. Factor p(d).
2*(d - 1)*(d + 1)*(d + 11)/13
Let d(g) be the second derivative of g**5/5 - 4*g**4/3 - 8*g**3 + g + 509. Determine o, given that d(o) = 0.
-2, 0, 6
Factor 20/3*g**2 + 2/3*g**3 - 314/3*g + 532/3.
2*(g - 7)*(g - 2)*(g + 19)/3
Let w(m) be the second derivative of m**6/90 - 9*m**5/20 - 167*m**4/18 + 20*m**3 + 4525*m. Factor w(j).
j*(j - 36)*(j - 1)*(j + 10)/3
Let i(y) be the second derivative of -y**6/10 - 12*y**5/5 - 29*y**4/4 - 7*y**3 + 1909*y. Factor i(p).
-3*p*(p + 1)**2*(p + 14)
Let r be 9/3*10/75*5. Suppose -4*f + 16 = r*u, 5 = 5*f - 4*u - u. Let 4*x**2 + 0 - 6*x - 2/3*x**f = 0. What is x?
0, 3
Let n(x) = -x**2 + 3. Let w(a) = -2*a**2 + 890*a + 198034. Let m(l) = 6*n(l) - 2*w(l). Suppose m(k) = 0. What is k?
-445
Let t(v) be the first derivative of 5*v**4/4 - 515*v**3 + 118575*v**2/2 + 120125*v + 3004. Factor t(g).
5*(g - 155)**2*(g + 1)
Let k = -97207413/1498322 - -3179/49. Let n = 15961721/152890 - k. Solve 648/5*f**5 - 166/5*f**3 + 32/5*f**2 - n*f**4 + 0 + 8/5*f = 0 for f.
-2/9, 0, 1/4, 1
Let i be -8 + (127/15 - 42/(-35)). Let t(z) be the first derivative of -3 + 11*z**2 - 8*z - i*z**3. Factor t(p).
-(p - 4)*(5*p - 2)
Let f = 31516 - 94547/3. Determine v, given that 0*v + 0 + 4/3*v**2 - v**4 + 0*v**3 + f*v**5 = 0.
-1, 0, 2
Let i be 3/(-4) + (-1965)/(-524). Let x(l) be the third derivative of -6*l**2 + 1/10*l**i + 1/60*l**4 + 0 + 0*l - 1/300*l**5. Suppose x(h) = 0. Calculate h.
-1, 3
Suppose -5*g + 204 = 2*i, -4*g - 4*i + 205 = 37. Let x be (-56)/(1/1)*g/(-32). What is y in 160*y - x - 36*y**4 - 510*y**2 + 215*y**3 + 11*y**4 + 230 = 0?
-2/5, 1, 4
Let q(d) be the second derivative of -15/22*d**2 - 21/110*d**5 - 1/30*d**6 - 208*d - 35/66*d**4 - 53/66*d**3 - 1/462*d**7 + 0. Find t, given that q(t) = 0.
-5, -3, -1
Let h(a) = 4*a**2 - 45*a + 45. Let f = 246 - 245. Let g(d) = -d**2 - 3. Let q(u) = f*g(u) + h(u). Solve q(k) = 0.
1, 14
Factor 11705 + 12074 - 20*a**2 - 24891 + 5564*a.
-4*(a - 278)*(5*a - 1)
Let p(i) be the third derivative of 0*i + 0 + 8/21*i**3 - 36*i**2 - 1/210*i**6 - 1/35*i**5 + 0*i**4. Factor p(r).
-4*(r - 1)*(r + 2)**2/7
Suppose -3*x + 5*l = -x - 53, -5*x + 118 = 2*l. Suppose 25*d = x*d + 28. Factor 9*y**2 - d*y**2 - 4 - 9*y + 14*y**2.
-(y + 1)*(5*y + 4)
Suppose 3*s + 5*c = 7*s - 3, 24*s = 5*c + 143. Let y = 248 + -142. Factor 64 + 13*k**3 - 27*k**3 + 6*k - s*k**4 + y*k + 8*k**4 + 33*k**2.
(k - 8)**2*(k + 1)**2
Let i(r) be the third derivative of -r**5/360 + 319*r**4/48 - 239*r**3/9 + 7*r**2 - 224*r. Factor i(g).
-(g - 956)*(g - 1)/6
Let n(l) be the first derivative of l**8/6720 + l**7/3360 - l**6/720 + 227*l**3/3 + 266. Let c(h) be the third derivative of n(h). Suppose c(z) = 0. What is z?
-2, 0, 1
Let x = 1708 - 1697. Suppose 9*t - 11 = -x. Factor 42*y**2 - 6*y - 243/2*y**5 - 189*y**4 + t - 39/2*y**3.
-3*y*(y + 1)**2*(9*y - 2)**2/2
Let j be (6/(-99))/(-7*4/(-42)). Let n = 31/22 - j. Suppose -n + 9/4*v - 3/4*v**2 = 0. What is v?
1, 2
Suppose 0 = p + 5*s + 11, s + 4 = 1. Suppose 0 + 1 = -a + h, -h + p = 0. Factor -11*v**a - 25*v**3 - 37*v**4 + 61*v**4 - 4*v**5 + 0*v**5.
-4*v**3*(v - 3)**2
Let c = 191 + -186. Determine q, given that 11*q**5 - 2*q**3 - 2*q**2 - 2*q**4 - 3*q**c + 4*q**2 - 6*q**5 = 0.
-1, 0, 1
Let i(h) be the first derivative of -14 + 0*h**3 - 1/30*h**6 - 9/2*h**2 + 0*h + 0*h**4 + 1/3*h**5. Let c(w) be the second derivative of i(w). Factor c(o).
-4*o**2*(o - 5)
What is g in -12/7*g + 24/7*g**2 - 9/7*g**3 + 0 = 0?
0, 2/3, 2
Let j(s) be the third derivative of -64/15*s**5 + 0*s**4 + 0 - 50*s + s**2 - 4/15*s**6 - 1/210*s**7 + 0*s**3. Factor j(v).
-v**2*(v + 16)**2
Let m(v) be the second derivative of -v**7/280 - v**6/360 + v**5/60 - 8*v**3 - 24*v. Let x(l) be the second derivative of m(l). Let x(q) = 0. Calculate q.
-1, 0, 2/3
Let -161 + 449 - 398*d + 412*d**2 + 156*d**3 - 322*d + 8*d - 140*d**4 - 4*d**5 = 0. Calculate d.
-36, -2, 1
Find y, given that -2/3*y**2 + 340/3 + 58/3*y = 0.
-5, 34
What is m in -7*m**3 - 1116 + 3*m**3 + 1116 = 0?
0
Let -4/9*m**3 - 10/9 - 28/9*m + 2/9*m**4 - 8/3*m**2 = 0. Calculate m.
-1, 5
Let n(w) be the second derivative of w**5/20 - 2*w**4/3 + 5*w**3/6 + 7*w**2 + 1919*w. Suppose n(s) = 0. What is s?
-1, 2, 7
Let f(r) = 6*r**2 - 41. Let g be f(-6). Factor 72*o**3 + 135 - 110*o - g + 5*o**5 + 25*o**4 - 85*o**2 - 67*o**3.
5*(o - 2)*(o + 1)**3*(o + 4)
Let s(g) be the second derivative of -g**4/3 + 106*g**3/3 - 860*g**2 + 1718*g. Find l such that s(l) = 0.
10, 43
Let a(l) be the first derivative of -2*l**3/27 - 212*l**2/3 - 22472*l + 857. Factor a(d).
-2*(d + 318)**2/9
Let d = 1004 + -974. Let q(j) be the second derivative of 2/45*j**3 + 1/150*j**5 - 2 - 8/15*j**2 - d*j + 1/18*j**4. What is m in q(m) = 0?
-4, -2, 1
Let s(m) be the second derivative of 19*m**6/15 - 17*m**5/10 - 115*m**4/3 - 8*m**3 - 854*m - 2. Suppose s(d) = 0. Calculate d.
-3, -2/19, 0, 4
Determine s so that -444*s**2 + 7776 - 2816*s - 1674*s + 565*s**3 - 586*s + 10*s**4 + 3*s**5 + 56*s**4 - 190*s**3 = 0.
-9, -8, 2
Find y such that 1502744 - 5972*y + 1504*y + 12*y**2 + 992634 - 10*y**2 = 0.
1117
Factor 9 + p**3 - 18*p**2 + 18*p**2 + 31 - 4*p + 11*p**2 + 42*p.
(p + 2)*(p + 4)*(p + 5)
Factor -441*c - 24 - 220*c + 244*c**2 - 345*c + 786*c.
4*(c - 1)*(61*c + 6)
Let u be (-40 - 28) + (-21148)/(-119). Find k, given that -3/7*k**3 + u - 864/7*k + 99/7*k**2 = 0.
1, 16
Suppose 0 = -3647*h - 3640*h + 7284*h + 6. Factor -13/5*p - 1/5*p**h - 36/5.
-(p + 4)*(p + 9)/5
Let k be 5/(-10)*-18 - 1*4. Suppose -2*i = 2*i + 2*d + 2, 35 = 5*i - k*d. Factor 11*u**2 - 22*u**i - 27 - 18*u + 8*u**2.
-3*(u + 3)**2
Let p(k) be the third derivative of -61*k**6/180 + 13*k**5/9 - 77*k**4/36 + 8*k**3/9 - 126*k**2 + 26*k. Factor p(o).
-2*(o - 1)**2*(61*o - 8)/3
Let b(y) be the second derivative of 2*y**6/105 + 18*y**5/35 - 61*y**4/21 + 4*y**3 - 786*y. Solve b(n) = 0 for n.
-21, 0, 1, 2
Let l(y) be the second derivative of -