36. Factor c - 3/2*i**3 - 9*i + 15/2*i**2.
-3*i*(i - 3)*(i - 2)/2
Suppose 127*j + 102*j - 656 = -99*j. Solve -8/3 - 4/3*t + 4/3*t**j = 0.
-1, 2
Find h such that 3/4*h**4 + 82659/4*h**2 - 40590*h - 495/2*h**3 + 20172 = 0.
1, 164
Let u(m) be the second derivative of 1 + 27/80*m**5 - 3*m + 1/56*m**7 + 0*m**2 + 0*m**3 + 3/20*m**6 + 1/4*m**4. Factor u(q).
3*q**2*(q + 1)**2*(q + 4)/4
Let n(d) = -4*d**2 + 238*d + 7460. Let u(p) = -20*p - 4*p**2 - 219*p + 3*p**2 + 4*p**2 - 7457. Let y(k) = 5*n(k) + 6*u(k). Determine w so that y(w) = 0.
-61
Let j(g) be the third derivative of g**5/60 - 7*g**4/24 + 4*g**3/3 + 11*g**2. Let o be j(6). Solve o*z**3 - z**3 - z + 2*z**2 + 2*z - 4*z**2 = 0.
0, 1
Let u(t) be the second derivative of -5/2*t**3 + 0 - 5/2*t**2 - 5/6*t**4 + 33*t. Factor u(g).
-5*(g + 1)*(2*g + 1)
Let p(n) be the first derivative of 0*n**2 + n**4 + n**3 - 59 + 1/5*n**5 + 0*n. Find s such that p(s) = 0.
-3, -1, 0
Let j = 148617/2 + -73215. Determine h, given that j + 3/2*h**2 - 81*h = 0.
27
Let y(c) be the third derivative of -13*c**4/4 + 475*c**2. Let t be y(0). Factor -2/9*l**3 + 4/9*l**2 + 0 + t*l.
-2*l**2*(l - 2)/9
Let o(a) be the second derivative of a**5/105 - 4*a**4/21 - 6*a**3/7 - 32*a**2 - 2*a - 36. Let g(r) be the first derivative of o(r). Solve g(y) = 0 for y.
-1, 9
Factor -72*k - 81*k**2 + 252*k**2 - 82*k**2 + 9*k**3 - 83*k**2 - 8*k**3.
k*(k - 6)*(k + 12)
Let y(d) be the second derivative of 1/100*d**5 + 1/150*d**6 - 1/10*d**4 + 0*d**2 - 14*d + 0*d**3 - 3. Factor y(w).
w**2*(w - 2)*(w + 3)/5
Let y(w) = -w**2 + 2*w. Let t(l) = -5*l**3 + 136*l**2 - 12*l. Let f = -387 + 381. Let x(g) = f*y(g) - t(g). Determine k so that x(k) = 0.
0, 26
Suppose -5*o = -15, 8*m - 273 = 3*m - o. Factor 54*j**2 - j + 5*j - 3*j**3 + 2*j**3 - m*j**2.
-j*(j - 2)*(j + 2)
Let g = -63556 + 953344/15. Solve 6/5*a - 6/5*a**3 - 4/15*a**2 - g + 8/15*a**4 = 0.
-1, 1/4, 1, 2
Let u(b) = -50*b**3 - 247*b**2 + 13*b - 8. Let i be u(-5). Factor -2/3*n + 2/3*n**3 + 0 + 0*n**i.
2*n*(n - 1)*(n + 1)/3
Let t(d) be the second derivative of d**6/2340 + 7*d**5/780 + d**4/26 - 67*d**3/6 + 136*d. Let v(z) be the second derivative of t(z). Solve v(a) = 0.
-6, -1
Let q(o) = o**2 - 14*o - 18. Let p be q(15). Let w be (p - (2 + -2)) + 510/102. Factor -2/3 + 2/9*b + 2/3*b**w - 2/9*b**3.
-2*(b - 3)*(b - 1)*(b + 1)/9
Let b(h) be the third derivative of -h**6/45 - h**5/10 - h**4/6 + 43*h**3/3 + 66*h**2. Let c(j) be the first derivative of b(j). Factor c(s).
-4*(s + 1)*(2*s + 1)
Let x(q) be the first derivative of -q**4/4 + 7*q**3/3 + 209*q**2/2 - 1815*q + 197. Factor x(n).
-(n - 11)**2*(n + 15)
Let n(a) be the first derivative of -2*a**6/3 - 44*a**5/5 - 23*a**4 + 44*a**3/3 + 48*a**2 - 1178. Suppose n(i) = 0. Calculate i.
-8, -3, -1, 0, 1
Let w(x) be the third derivative of -x**7/168 - x**6/24 + x**5/24 + 5*x**4/8 - 35*x**3/6 + 26*x**2. Let i(j) be the first derivative of w(j). Factor i(d).
-5*(d - 1)*(d + 1)*(d + 3)
Factor 35*l**2 + 648 + 4*l**4 + 48*l**3 + 180*l - 3*l**4 - 49*l**3 - 113*l**2.
(l - 6)**2*(l + 2)*(l + 9)
Let f be (-38)/(-10) - 3/(-15). Let -4 + f - 20*i + 20*i**3 - 8*i**2 - 6 - 3 + 17 = 0. What is i?
-1, 2/5, 1
Let s(u) be the third derivative of -109/96*u**4 - 268*u**2 + 1/40*u**5 + 0*u + 0 + 3/4*u**3. Determine y so that s(y) = 0.
1/6, 18
Let l(a) be the second derivative of -a**4/4 + 1701*a**3 - 8680203*a**2/2 - 302*a + 2. Determine r, given that l(r) = 0.
1701
Factor 0*l**2 - 3/2*l**5 + 0*l + 177/2*l**4 + 0 - 171*l**3.
-3*l**3*(l - 57)*(l - 2)/2
Let c(z) be the third derivative of -11/270*z**5 - 103*z**2 - 2/3*z**3 + 0 + 0*z + 1/108*z**6 - 11/36*z**4 + 1/945*z**7. Factor c(u).
2*(u - 3)*(u + 1)**2*(u + 6)/9
Let d(s) be the third derivative of -s**6/300 + 109*s**5/150 - 106*s**4/15 + 28*s**3 - 4099*s**2. What is l in d(l) = 0?
2, 105
Determine x so that -24520/3*x**2 + 20*x**4 - 218*x**3 - 15616*x + 2/3*x**5 - 7680 = 0.
-24, -1, 20
Let n be 12*(-5)/(-20) + 2/(-2). Factor -9*t**4 - 6*t**5 - 9*t**3 + 11*t**5 - 15*t**n + 48*t**2 - 18*t - 2*t**5.
3*t*(t - 3)*(t - 1)**2*(t + 2)
Let t(k) = -50*k**2 - 2880*k + 1128. Let y(i) = -10*i**2 - 576*i + 226. Let w(o) = 3*t(o) - 16*y(o). Solve w(j) = 0.
-58, 2/5
Let p = -15235 + 15235. Let o(w) be the third derivative of 1/12*w**5 - 15/2*w**3 + 25*w**2 + 0 + 0*w + p*w**4. Factor o(f).
5*(f - 3)*(f + 3)
Let v(o) = -2*o**3 + 14*o**2 + 12*o + 51. Let f be v(8). Solve -16*a**2 - f - 2*a**3 + 19 - 32*a = 0.
-4, 0
Let x(y) be the first derivative of -12*y**2 - 4/3*y**3 - 82 + 7/2*y**4 + 0*y**5 + 16*y - 1/3*y**6. Suppose x(j) = 0. What is j?
-2, 1, 2
Suppose -5 = -2*x + 4*c - 19, -7 = x + 5*c. Let h be 462/147 - (-1)/x. Find f such that -8/5*f**h + 0*f + 0 + 2/3*f**5 - 8/15*f**2 - 2/5*f**4 = 0.
-1, -2/5, 0, 2
Factor 4155*y**4 - 27*y**3 - 8308*y**4 + 4127*y**4 + y**5.
y**3*(y - 27)*(y + 1)
Suppose -25*a + 24 = -19*a. Factor 3*u**a + 8*u**4 + 40*u**3 - 6*u**4.
5*u**3*(u + 8)
Find q such that 2/9*q**4 + 2/3*q**3 + 112/3*q + 0 - 188/9*q**2 = 0.
-12, 0, 2, 7
Let i be (-44 - -38)*1*2 + 11 + 3. Suppose -1/5*g**i - 16/5*g - 28/5 = 0. What is g?
-14, -2
Let z be (-3944)/14616 - (-1)/3. Let i(p) be the second derivative of 32*p + 0 - 4/63*p**3 - 1/70*p**5 + z*p**4 + 0*p**2. Factor i(k).
-2*k*(k - 2)*(3*k - 2)/21
Let p(g) be the second derivative of 0*g**2 + 1/70*g**5 - 61*g - 1 + 1/7*g**4 + 3/7*g**3. Factor p(r).
2*r*(r + 3)**2/7
Factor 3/4*r**4 + 75/4*r**2 + 0*r + 0 + 15/2*r**3.
3*r**2*(r + 5)**2/4
Let h(t) = -3*t**2 + 1014*t - 257045. Let i(y) = -25*y**2 + 8112*y - 2056358. Let n(z) = -34*h(z) + 4*i(z). Factor n(l).
2*(l - 507)**2
Let q(w) be the third derivative of w**5/30 - 3*w**4 + 260*w**3/3 - 966*w**2. What is o in q(o) = 0?
10, 26
Let l = -33 - -60. Let y(h) = l*h**3 + 3 - 4 + 4*h - 26*h**3 - 5*h. Let x(r) = 4*r**3 - 5*r**2 + 4*r - 6. Let t(o) = -x(o) + 3*y(o). Factor t(w).
-(w - 3)*(w - 1)**2
Suppose 2*c - 18 = -4*f, 18*f - 23*f - c = -18. Let k(m) be the first derivative of -1/9*m**f + m**2 - 3*m - 2. Factor k(z).
-(z - 3)**2/3
Let b(s) be the second derivative of 0*s**2 - 1/6*s**4 - 1/6*s**3 - 1/80*s**5 + 95*s + 0 + 1/40*s**6. Let b(h) = 0. What is h?
-1, -2/3, 0, 2
Let z(y) be the first derivative of -y**5 + 55*y**4/4 + 485*y**3/3 + 425*y**2/2 - 678. Factor z(i).
-5*i*(i - 17)*(i + 1)*(i + 5)
Let p(j) be the first derivative of 2*j**3/45 - 106*j**2 + 84270*j - 864. Find w, given that p(w) = 0.
795
Let j(x) = 396*x + 83. Let h be j(22). Let -81*b + 45*b**2 - 2*b**3 - h + 8834 - b**3 = 0. Calculate b.
1, 13
Let n(q) = 47*q - 405. Let t be n(8). Let o be t/(-232) + (-2)/48*-61. Find z, given that 0 - 4/3*z**2 - o*z = 0.
-2, 0
Factor 218*j**3 + 128*j**2 - j**5 + 112*j**3 + 48*j**4 - j**5 - 576*j**3 + 114*j**3 - 42*j.
-2*j*(j - 21)*(j - 1)**3
Let b(n) be the first derivative of n**4/12 - 5*n**3/9 - 2*n**2/3 + 20*n/3 - 1239. Find r, given that b(r) = 0.
-2, 2, 5
Let s = 1168 + -1124. Let d be 7 + (-150)/s*2. Find n, given that 8/11 - d*n**2 - 6/11*n = 0.
-4, 1
Suppose 15*d + 29*d - 344 = -42*d. Factor -1/5*z**3 - d*z + 16/5 + 8/5*z**2.
-(z - 4)*(z - 2)**2/5
Let s = -271/2184 + 697/728. Factor 0 - 1/6*d**5 - 1/3*d**2 - 2/3*d**4 - s*d**3 + 0*d.
-d**2*(d + 1)**2*(d + 2)/6
Let f(t) = 50*t + 62. Let p be f(-1). Suppose -k + 18 = -4*y, -k + p = -2*y + 2. Let 0*j - j**k + 1/2 + 0*j**3 + 1/2*j**4 = 0. What is j?
-1, 1
Let w(l) = -11*l**4 - 135*l**3 + 185*l**2 + 12*l + 3. Let n(x) = -45*x**4 - 541*x**3 + 737*x**2 + 44*x + 11. Let r(t) = -6*n(t) + 22*w(t). Factor r(s).
4*s**2*(s + 11)*(7*s - 8)
Let p(q) be the second derivative of -11*q**6/195 + q**5/130 + 7*q**4/26 - q**3/39 - 10*q**2/13 + 2*q + 769. Suppose p(m) = 0. Calculate m.
-1, -10/11, 1
Suppose 22*l - 1530 = 4960. Factor 9*v**3 + 1753*v + 1720*v - 3142 - l*v**2 - 1063 + 1022*v - 4*v**3.
5*(v - 29)**2*(v - 1)
Let l = -86955 - -86957. Factor -13/10*q - 6/5 - 1/10*q**l.
-(q + 1)*(q + 12)/10
Let k be 3/(-12) - ((-27)/12 - -1). Factor p - 4*p**3 - 2*p**2 + p**3 + 4*p**3 + k + 1 - 2*p.
(p - 2)*(p - 1)*(p + 1)
Let 19 + m - 1/4*m**3 - 19/4*m**2 = 0. What is m?
-19, -2, 2
Factor -646/3*f + 2/3*f**2 + 0.
2*f*(f - 323)/3
Let d(q) be the first derivative of q**4/4 + 6*q**3 + 33*q**2/2 + 9*q - 71. Let k(j) be the first derivative of d(j). Factor k(a).
3*(a + 1)*(a + 11)
Factor 0 - 4113/8*x - 3/8*x**2.
-3*x*(x + 