second derivative of -k**8/1920 - 11*k**7/1260 - k**6/120 - 17*k**4/12 - 24*k - 2. Let c(t) be the third derivative of y(t). Factor c(b).
-b*(b + 6)*(7*b + 2)/2
Let j(o) be the second derivative of o**4/9 + 1484*o**3/3 + 825846*o**2 - 2*o + 67. Solve j(g) = 0 for g.
-1113
Factor 2223446 - 6291*a**2 + 3*a**3 + 2089552 + 3294909*a - 1011795.
3*(a - 1049)**2*(a + 1)
Let f be (-9)/(-6)*44/33. Factor -96*i + 23*i**2 + 9*i**f + 72*i**3 - 27*i**4 + 10*i**2 - 48 - 18*i**2.
-3*(i - 2)**2*(3*i + 2)**2
Factor 0*j + 5/4*j**4 + 0*j**2 + 0 + 15/2*j**3 - 5/4*j**5.
-5*j**3*(j - 3)*(j + 2)/4
Suppose -76 = 4*x - 4*k, 6 + 4 = -x - 2*k. Let b be (-145)/(-3) + x/(-24). Let 2*m**4 - b*m**5 + 0*m**4 + 51*m**5 = 0. What is m?
-1, 0
Suppose 4/3*w - 8/3*w**3 - 124/3*w**4 + 4/3*w**5 + 248/3*w**2 - 124/3 = 0. What is w?
-1, 1, 31
Let d = 386322 + -386322. Factor 0 + 0*c**2 - 2/3*c**3 + d*c.
-2*c**3/3
Factor 0 + 2/5*n**5 + 0*n**2 - 48/5*n**3 - 46/5*n**4 + 0*n.
2*n**3*(n - 24)*(n + 1)/5
Let q(o) be the first derivative of o**4/4 + 53*o**3 + 8427*o**2/2 - 82*o - 145. Let y(j) be the first derivative of q(j). Factor y(i).
3*(i + 53)**2
Factor 256/3*g + 176/3 + 76/3*g**2 - 4/3*g**3.
-4*(g - 22)*(g + 1)*(g + 2)/3
Let g(n) be the third derivative of -n**6/360 + 101*n**5/180 - 116*n**4/3 + 640*n**3 - 2*n**2 - 85. Determine b, given that g(b) = 0.
5, 48
Suppose 2*u = p + 37, 5*p = -20*u + 15*u + 100. Let t(k) be the second derivative of 0*k**3 + 0*k**2 + 0 + u*k - 1/30*k**5 + 0*k**4. Solve t(s) = 0 for s.
0
Solve -175*d**5 + 7505*d**3 + 153*d**4 - 3523*d**2 - 523*d**4 - 2577*d**2 - 1660*d + 800 = 0.
-8, -2/5, 2/7, 1, 5
Let h(z) = 2*z - 23. Let j be h(25). Suppose -9*q + 9 = -j. Factor 33 + 7*r - 6*r**4 + 6*r**2 - 33 - 3*r**3 - q*r.
-3*r*(r - 1)*(r + 1)*(2*r + 1)
Let r(w) be the third derivative of -w**7/160 - w**6/180 + w**5/96 - 31*w**3/3 - 76*w**2. Let s(l) be the first derivative of r(l). Let s(d) = 0. What is d?
-5/7, 0, 1/3
Let h(n) be the second derivative of -2*n**5/135 + 13*n**4/54 + 14*n**3/27 - 4*n**2 - n + 5. Let w(s) be the first derivative of h(s). Factor w(o).
-4*(o - 7)*(2*o + 1)/9
Let v(l) be the first derivative of -4*l**3/3 - 134*l**2 + 840*l - 6038. Factor v(i).
-4*(i - 3)*(i + 70)
Suppose -2*q - q - 1768 = 2*j, -4*q + 3*j - 2363 = 0. Let a = -2357/4 - q. Determine k so that -k**2 + a*k + 1/4*k**3 + 0 = 0.
0, 1, 3
Let n(y) be the third derivative of -y**5/15 - 5*y**4/6 + 352*y**3/3 + 601*y**2 + 2. Factor n(l).
-4*(l - 11)*(l + 16)
Find q such that -1155*q**2 - 5*q + q - q**4 + 12 + 6*q**3 + 1146*q**2 = 0.
-1, 2, 3
Let a = 5932123/13 - 456317. Solve 0*n - 2/13*n**4 + 0 + 2/13*n**3 + a*n**2 - 2/13*n**5 = 0.
-1, 0, 1
Suppose -14*k + 11 = -12*k + i, k - i - 4 = 0. Factor 324*q + 192*q**2 - 7*q**k + 192 + 12*q - 13*q**5 + 24*q**3 + 17*q**5 - 12*q**4.
-3*(q - 4)*(q + 2)**4
Let f = 4599 - 4599. Let o(w) be the second derivative of 0 - 1/6*w**6 + 0*w**3 + f*w**2 + 0*w**4 + 0*w**5 - 5/42*w**7 + 15*w. Suppose o(i) = 0. What is i?
-1, 0
Let v(x) be the third derivative of 0 - 65/3*x**4 - 1/15*x**5 + 0*x - 8450/3*x**3 + 57*x**2. Factor v(j).
-4*(j + 65)**2
Suppose -1/10*u**2 + 69/10*u + 71/5 = 0. Calculate u.
-2, 71
Let q(u) be the first derivative of -2*u**3/27 - 35*u**2/9 + 104*u/3 + 3524. Factor q(a).
-2*(a - 4)*(a + 39)/9
Let j = 7685/161 - 1065/23. Let t = 80 - 559/7. Let -t - j*r**2 + r = 0. Calculate r.
1/5, 1/2
Let k(i) be the third derivative of -i**5/24 - 55*i**4/48 + 65*i**3/6 - 3073*i**2. Solve k(a) = 0 for a.
-13, 2
Factor -45/8*y + 0 + 11/2*y**2 + 1/8*y**3.
y*(y - 1)*(y + 45)/8
Let w(t) be the third derivative of -11*t**8/420 + 178*t**7/525 - 173*t**6/150 - 73*t**5/75 + 92*t**4/15 - 32*t**3/15 - 2839*t**2. Solve w(k) = 0.
-1, 1/11, 1, 4
Let j(x) = 45*x**3 - 1475*x**2 - 3478*x - 698. Let h(o) = 765*o**3 - 25075*o**2 - 59125*o - 11865. Let q(w) = 2*h(w) - 35*j(w). Solve q(l) = 0 for l.
-2, -2/9, 35
Let a(n) be the second derivative of n**7/14 + 41*n**6/10 - 981*n**5/20 + 459*n**4/4 + 621*n**3 - 3888*n**2 + 10816*n. Solve a(f) = 0.
-48, -2, 3
Factor -1224*i**2 - 4*i**3 + 0*i**3 - 1154955*i + 1061319*i.
-4*i*(i + 153)**2
Let d(t) be the third derivative of 0*t + 0*t**3 + 5/216*t**4 + 1/540*t**5 + 1 + t**2. Let d(k) = 0. Calculate k.
-5, 0
Let g(k) be the third derivative of 1/300*k**5 + 2/5*k**3 - k**2 + 0*k + 127 - 13/120*k**4. Factor g(x).
(x - 12)*(x - 1)/5
Let m be (2/4)/(2/(-60)). Let b be ((-4)/(-5))/(6/m) + 4. Let -4916*s**b - 3*s**4 + 4925*s**2 + 0*s + 12 - 24*s + 6*s**3 = 0. What is s?
-2, 1, 2
Let c(p) be the third derivative of 0*p**3 - 59/42*p**7 + 5/3*p**4 - 3*p**2 - 1/3*p**5 - 67/12*p**6 + 2*p + 15/16*p**8 + 0. Let c(l) = 0. Calculate l.
-1, -2/7, 0, 2/9, 2
Let n = -517645/7 - -73950. Factor -1/7*d**5 - 2/7*d**2 + 11/7*d + d**4 - 10/7*d**3 - n.
-(d - 5)*(d - 1)**3*(d + 1)/7
Let u(g) be the second derivative of -g**4/108 - 137*g**3/18 - 205*g**2/9 - 5310*g. Solve u(b) = 0 for b.
-410, -1
Let a be (-7)/(-5)*(-156)/637*-7. Factor 2/5*p**3 + 2*p - a*p**2 + 0.
2*p*(p - 5)*(p - 1)/5
Find w such that -157*w + 65*w - 8*w + 4*w**2 + 576 = 0.
9, 16
Let a(f) = f**3 - 8*f**2 + 8*f - 32. Let p be a(-12). Let o = p - -21108/7. Factor -16/7*q - 24/7*q**4 - o*q**3 - 4/7*q**5 + 0 - 48/7*q**2.
-4*q*(q + 1)**2*(q + 2)**2/7
Let s(t) be the second derivative of 13/2*t**2 + 0 - 1/20*t**5 - 6*t - 1/2*t**3 - 1/4*t**4. Let o(l) be the first derivative of s(l). Factor o(h).
-3*(h + 1)**2
Suppose 0 = o - 2*o. Suppose -5*t - 483 = -503, -4*q + 3*t - 12 = 0. Let 3/4*r**3 + 1/4*r**4 + q + 1/2*r**2 + o*r = 0. Calculate r.
-2, -1, 0
Let x be 6/(-1 + 1 - -2). Let k(i) = i**3 + 7*i**2 + 3*i - 4. Let b be k(-6). Factor -5*j**5 + 7*j**2 - j**x + 25*j**4 - b*j**3 - 52*j**2.
-5*j**2*(j - 3)**2*(j + 1)
Suppose 5*o - 3*a = 7, 0*a + 2*a = 2. Let -12*m**o - 8*m**2 + 12*m**3 + 5*m**2 + 4*m**4 - m**2 = 0. What is m?
-4, 0, 1
Let c(h) be the second derivative of h**4/24 - 59*h**3/3 + 3481*h**2 - 1062*h. Determine g so that c(g) = 0.
118
Let k(i) be the second derivative of 3*i**5/40 - 171*i**4/8 + 8019*i**3/4 - 177147*i**2/4 + 13170*i. Let k(f) = 0. Calculate f.
9, 81
Find x such that -193*x**5 + 5408*x**2 + 386905*x**3 - 360521*x**3 + 21912*x**4 - 275*x**5 - 1536*x = 0.
-2/3, 0, 2/13, 48
Let -5*r - 9 - 1/4*r**2 = 0. What is r?
-18, -2
Let p be (((-162)/12)/27)/(-3*30/2448) + -8. Determine o, given that p*o - 8/5 - 8/5*o**4 + 1/5*o**5 - 38/5*o**2 + 5*o**3 = 0.
1, 2
Let o(j) = -j**3 - 130*j**2 - 263*j - 203. Let d(c) = -2*c**3 - 259*c**2 - 522*c - 380. Let v(f) = -3*d(f) + 5*o(f). Factor v(x).
(x + 1)**2*(x + 125)
Let u = -158 - -110. Let o = u - -51. Factor 3*j**2 - j - 26*j**3 + 13*j**o + 14*j**3 - 1 - 2*j**4.
-(j - 1)**2*(j + 1)*(2*j + 1)
Suppose -34*y - 33 + 83 = -52. Suppose 0 + 2/5*l**y - 2/5*l**2 + 0*l = 0. What is l?
0, 1
Let n = -107761 - -107763. Solve 5*v + 20/3 - 5/3*v**n = 0 for v.
-1, 4
Let b(n) be the second derivative of n**5/150 - n**4/15 + n**3/5 - 47*n**2/2 + 51*n. Let t(a) be the first derivative of b(a). Factor t(y).
2*(y - 3)*(y - 1)/5
Let v = 1080043/117 + -83065/9. Find c, given that -2/13*c**2 + 0 + v*c = 0.
0, 11
Let u(o) be the third derivative of 0 + 11/12*o**3 + 0*o + 1/30*o**5 - 135*o**2 - 5/16*o**4. Factor u(v).
(v - 1)*(4*v - 11)/2
Let i be 8 + -1 + (-1035 - -1030). Determine j so that -4/7*j**3 - 72/7*j**i + 2/7*j**5 + 60/7 + 2/7*j + 12/7*j**4 = 0.
-5, -3, -1, 1, 2
Let i(j) = -j**2 + 4*j + 49. Let t be i(0). Let m(s) = s**2 - 48*s - 47. Let n be m(t). Suppose 1/3*p**n + 4/3 + 5/3*p = 0. What is p?
-4, -1
Factor 15*k + 12*k - 573497*k**2 + 9*k**3 + 573470*k**2 - k**4.
-k*(k - 3)**3
Determine r so that -71*r**2 + 206*r**2 - 3*r**3 + 28935 - 26*r**2 - 8928*r + 19449 + 200*r**2 = 0.
7, 48
Let j(u) be the first derivative of -u**4/3 + 44*u**3/9 - 16*u**2 + 1744. Factor j(f).
-4*f*(f - 8)*(f - 3)/3
Let r(l) be the second derivative of l**6/15 + 4*l**5/5 - 5*l**4/3 - 8*l**3/3 + 9*l**2 + 1019*l. Factor r(t).
2*(t - 1)**2*(t + 1)*(t + 9)
Let i = 61478 + -61476. Determine p, given that 8/3*p + 4/3*p**i + 1/6*p**3 + 0 = 0.
-4, 0
Suppose -2*g - 4 = 4*p, -3*g - 2*p - 50 = -8*g. Solve -69*z**5 - 26*z**2 + 18*z**2 + g*z**4 - 4*z**3 + 73*z**5 = 0.
-2, -1, 0, 1
Suppose -4*l - c + 10 = 0, 4*l + 9*c - 2 = 4*c. Determine y so that -12*y + 23*y + 49*y - 16 + 58*y**2 - 18*y**l =