ative of 1/180*j**4 + 1/150*j**5 + 0 - 16*j**2 + 0*j - g*j**3. Factor d(i).
2*(i + 1)*(3*i - 2)/15
Solve 64/3 + 28/3*g**2 - 104/3*g - 11/3*g**4 + 1/3*g**5 + 22/3*g**3 = 0.
-2, 1, 2, 8
Let q = -227 + 231. Determine t so that -20*t**2 + 20*t**3 - 57*t**q - 2*t - 5*t**5 + 2*t + 62*t**4 = 0.
-2, 0, 1, 2
Find m such that -146/17*m**3 + 142/17*m**2 + 2/17*m**4 - 144/17 + 146/17*m = 0.
-1, 1, 72
Let o(b) be the first derivative of 2/3*b**4 + 14*b**3 + 142 + 0*b - 16/3*b**2. Factor o(n).
2*n*(n + 16)*(4*n - 1)/3
Let i(g) = -g**2 - 2*g + 37. Let b be i(-7). Suppose 13*r + r - 3*r**b + 4*r**2 - 24 - 3*r**2 = 0. Calculate r.
3, 4
Let q(k) = -22*k - 306. Let h be q(-14). Let v(o) be the second derivative of 0*o**h + 0 - 1/27*o**4 + 2/27*o**3 - 18*o. Find j, given that v(j) = 0.
0, 1
Let h be (4584 - 3672)*(-9)/(-10). Factor -219/5*w**2 - 3/5*w**3 - h*w - 3888/5.
-3*(w + 1)*(w + 36)**2/5
Let z(p) be the first derivative of -66 + 11/14*p**2 + 18/7*p + 1/21*p**3. Find q, given that z(q) = 0.
-9, -2
Let f(l) = 28*l**3 - 16*l**3 - l**2 - l - l + 2 + 20*l**3. Let g be f(1). What is j in -26*j**3 - g*j**3 - 17*j**3 - 312*j**2 - 480*j - 128 - 6*j**4 = 0?
-4, -1/3
Let c be 2301/(-4) + (2 - (-84)/(-48)). Let g be (14 - c/(-40))*(-4)/6. Solve g*i**3 + 0*i - 1/4*i**5 + 0*i**2 + 0 + 0*i**4 = 0 for i.
-1, 0, 1
Let p(u) = 13*u + 67. Let m be p(-5). Let h = -329/3 - -110. Let -h*v**m - 1/9 - 4/9*v = 0. Calculate v.
-1, -1/3
Factor 287*a**2 + 5*a**4 + 0*a**4 + 85*a**2 + 130*a**2 - 685*a**3 + 178*a**2.
5*a**2*(a - 136)*(a - 1)
Let g(f) be the first derivative of -4*f**3 - 1/2*f**4 + 0*f - 9*f**2 - 153. Factor g(o).
-2*o*(o + 3)**2
Suppose -l - 29 = -34. Suppose -l*w = -13 - 7. Solve -3*u**4 + 4*u**5 - 16*u**w + 4*u**3 - 8*u + 13*u**4 + 12*u**2 - 6*u**4 = 0 for u.
-1, 0, 1, 2
Let f(a) be the third derivative of a**5/600 + 239*a**4/240 + 119*a**3/30 - 1487*a**2. Determine b so that f(b) = 0.
-238, -1
Let x(f) = -f**3. Let l = -30 - -29. Let s(r) = 5*r**3 - 13*r - 12. Let a(z) = l*s(z) - 4*x(z). Let a(d) = 0. What is d?
-3, -1, 4
Determine b, given that 1726528 - 12990*b - 5618*b - 29597440 + 4857*b**2 + 320*b - 4860*b**2 = 0.
-3048
Let -146581 - 3520*l + 48392 - 676211 - 4*l**2 = 0. Calculate l.
-440
Determine s so that 18/11*s**3 + 0 + 32/11*s + 52/11*s**4 + 6/11*s**5 - 108/11*s**2 = 0.
-8, -2, 0, 1/3, 1
Let k = 55 - 52. Solve 5318*v**2 + 6*v**4 - k*v**4 - 216*v**3 - 1430*v**2 = 0 for v.
0, 36
Let h be (-308)/(-196) + 42/14 + (-8)/2. Factor h*v**2 + 8/7*v - 12/7.
4*(v - 1)*(v + 3)/7
Let z(u) = 20*u**3 - 120*u**2 - 20*u + 72. Let y(h) = -2*h**3 - h**2 + 2*h + 5. Let d(f) = 12*y(f) + z(f). Determine q so that d(q) = 0.
-33, -1, 1
Let l = 176 - 140. Suppose 0 = -6*f - 6*f + l. Factor -5/2*o**f + 5/2*o - 5 + 5*o**2.
-5*(o - 2)*(o - 1)*(o + 1)/2
Let y(j) be the second derivative of j**6/75 - j**5 + 94*j**4/5 + 1768*j**3/15 - 5408*j**2/5 + 1838*j. Suppose y(k) = 0. Calculate k.
-4, 2, 26
Factor -16/3*z + 0 + 1/3*z**3 + 5*z**2.
z*(z - 1)*(z + 16)/3
Let c be 60/(-140) - (8 + 8584/(-952)). Find b, given that 0*b + 0 - 2/17*b**3 - c*b**2 = 0.
-5, 0
Determine z, given that -215*z**3 + 440*z**3 - 26*z**2 - 8 - 32*z - 223*z**3 + 39 + 25 = 0.
-2, 1, 14
Let v be (-60)/(-21) + -3 + 297/21. Suppose v*c = 18*c + 5*m - 23, -5*c + 19 = 3*m. Factor 15/7*x**3 + 12/7 - 24/7*x - 3/7*x**4 - 3/7*x**5 + 3/7*x**c.
-3*(x - 1)**3*(x + 2)**2/7
Let a = 1 - 1. Let t(g) = 3*g**3 + 7*g**2 - 194*g - 12. Let f be t(7). Factor a*l**4 + 0*l + 4/3*l**2 + 2/3*l**5 - f*l**3 + 0.
2*l**2*(l - 1)**2*(l + 2)/3
Let a = -321 + 316. Let m be (-36)/45*a/10*3. Suppose 2/5*o**4 + 2/5*o + m*o**3 + 0 + 6/5*o**2 = 0. What is o?
-1, 0
Factor 156*g + 120 + 23/3*g**3 - 1/3*g**4 + 194/3*g**2.
-(g - 30)*(g + 2)**2*(g + 3)/3
Let x be (-51)/119 + (1860/(-777))/4. Let r = -192/259 - x. Factor -8/7 + r*i**2 - 6/7*i.
2*(i - 4)*(i + 1)/7
What is l in 176*l + 608 + 869 - 109 - 5*l**2 + 424 + 9*l**2 = 0?
-28, -16
Let b(r) be the second derivative of 5*r**4/12 + 2185*r**3/2 + 6545*r**2 + 2440*r. Solve b(q) = 0 for q.
-1309, -2
Factor -2/7*s**3 + 0 + 54/7*s + 12/7*s**2.
-2*s*(s - 9)*(s + 3)/7
Let t(g) = -g**3 + 80*g**2 - 642*g + 215. Let d be t(71). Factor 1/4*w + 0 + 23/8*w**d.
w*(23*w + 2)/8
Suppose -43*w + 253 = -1424. Factor 26 + 32 - 4*q**2 - 32*q - w + 17.
-4*(q - 1)*(q + 9)
Find n such that 396*n**4 - 177863*n + 177989*n - 10*n**3 - 507*n**2 - 104*n**3 + 226*n**4 - 12*n**5 - 115*n**4 = 0.
-1, 0, 1/4, 1, 42
Let o(w) be the third derivative of -w**7/735 + w**5/105 - w**3/21 - 2934*w**2. Let o(n) = 0. Calculate n.
-1, 1
Let s(n) be the first derivative of 5*n**4/4 - 635*n**3/3 + 9240*n**2 + 108900*n + 1768. Factor s(j).
5*(j - 66)**2*(j + 5)
Let c = -48 - -6. Let s = -37 - c. Solve 20 - 10 - 5 - s*h**2 = 0 for h.
-1, 1
Suppose 72/5*p - 2/5*p**3 - 72 + 58/5*p**2 = 0. What is p?
-3, 2, 30
Let n(t) be the second derivative of -t**6/600 - 2*t**5/75 + 3*t**4/40 - 50*t**2 - 38*t. Let m(v) be the first derivative of n(v). Factor m(r).
-r*(r - 1)*(r + 9)/5
Let l(i) be the first derivative of -3*i**5/20 + i**4/2 + i**3/2 - i**2 - 3*i/4 + 1152. Suppose l(g) = 0. Calculate g.
-1, -1/3, 1, 3
Let l(i) be the first derivative of -i**4/20 - 1193*i**3/15 - 596*i**2/5 + 11094. Let l(h) = 0. Calculate h.
-1192, -1, 0
Let f(g) be the second derivative of -34*g**6/15 - 104*g**5/5 + 200*g**4 - 1216*g**3/3 - 160*g**2 - 366*g. What is c in f(c) = 0?
-10, -2/17, 2
Let c(o) be the third derivative of -7/135*o**5 + 0*o - 2*o**2 - 28 + 0*o**4 - 13/540*o**6 + 0*o**3 + 1/945*o**7. Factor c(f).
2*f**2*(f - 14)*(f + 1)/9
Let c(l) be the first derivative of 8*l**6 + 168*l**5 - 477*l**4/4 - 262*l**3 + 429*l**2/2 - 54*l - 1077. Suppose c(i) = 0. Calculate i.
-18, -1, 1/4, 1
Let b be ((-24)/(-9))/(3/(-2340)). Let m be (b/84)/(-8) - (-10)/(-105). Factor 1/2*s + 1/2*s**2 - m.
(s - 2)*(s + 3)/2
Suppose -2*w = -m - 3*w + 5, 2*m = 3*w - 5. Let -70*y + 33 + 16*y**2 + 9 + 98 - 11*y**m - 20 = 0. Calculate y.
2, 12
Let y = 59 - 57. Suppose -5*v + q + 149 = 0, -3*v + y*v - 5*q + 35 = 0. Suppose 11*o - 4*o**2 - o**2 - v - 36*o = 0. Calculate o.
-3, -2
Let v = 46348 - 46348. Factor -9/7*b - 18/7*b**4 - 36/7*b**3 - 3/7*b**5 + v - 30/7*b**2.
-3*b*(b + 1)**3*(b + 3)/7
Solve -4/9*n**2 - 1120/9 + 188/9*n = 0 for n.
7, 40
Let -2/11*c**3 - 114/11*c - 56/11 - 60/11*c**2 = 0. What is c?
-28, -1
Let s(t) be the second derivative of -3*t**5/40 + 63*t**4 - 64005*t**3/4 + 189003*t**2/2 + 1223*t + 2. Let s(a) = 0. What is a?
2, 251
Let x(b) be the first derivative of 55 - 10/7*b**5 + 8/7*b**2 + 0*b + 5*b**4 - 88/21*b**3. Let x(r) = 0. Calculate r.
0, 2/5, 2
Suppose 22*o = 107*o + 45*o - 390. Let v(z) be the second derivative of -1/2*z**o + 3/5*z**2 + 0 - 3/20*z**4 + 19*z. Factor v(n).
-3*(n + 2)*(3*n - 1)/5
Let c = 393 - 356. Solve c + 32 + 3*p**2 - 63*p - 9 = 0.
1, 20
Let w = 53 + -49. Suppose -4*o + o - 3*n + 21 = 0, 5*o + w*n = 30. Let 15*q**o - 3*q**3 - 17*q - 3*q**2 + 6 + 2*q = 0. Calculate q.
1, 2
Let l(m) be the third derivative of 38*m**2 + 0 + 864/5*m**3 + 0*m + 6/5*m**4 + 1/300*m**5. Let l(d) = 0. What is d?
-72
Let p(c) be the third derivative of -c**7/840 - c**6/480 + 7*c**5/80 + 15*c**4/32 - 20*c**2 + 14*c. Let p(t) = 0. Calculate t.
-3, 0, 5
Let a(w) be the third derivative of 1/18*w**4 + 2/9*w**3 + 0*w + 59*w**2 + 1/180*w**5 + 0. Let a(h) = 0. What is h?
-2
Let z(t) = 24*t**2 + 12*t - 21. Let a(j) = -j**4 - j**3 - 26*j**2 - 12*j + 20. Let s(f) = -3*a(f) - 4*z(f). Factor s(k).
3*(k - 2)*(k - 1)*(k + 2)**2
Let n(v) = -3*v**3 + 147*v**2 + 186*v - 36. Let i = -475 - -470. Let x(f) = -f**3 + 42*f**2 + 53*f - 10. Let t(r) = i*n(r) + 18*x(r). Factor t(d).
-3*d*(d - 8)*(d + 1)
Let h(j) be the third derivative of -j**5/150 - 17*j**4/5 - 203*j**3/15 - 706*j**2. Factor h(p).
-2*(p + 1)*(p + 203)/5
Determine g, given that 327*g**3 - 32*g**4 + 0*g**4 + 5*g**5 + 645*g**2 - 136*g - 13*g**4 - 404*g - 392*g**3 = 0.
-4, 0, 1, 3, 9
Let g = 162 + -160. Find m such that 65*m + 14 + 50*m**g - 45*m**2 + 46 = 0.
-12, -1
Let w(q) be the first derivative of 2/5*q**4 + 6/5*q**3 + 2/5*q**2 + 0*q - 167. Factor w(p).
2*p*(p + 2)*(4*p + 1)/5
Suppose -13*d - 4*v = -15*d + 66, 5*d - 129 = v. Suppose -19 = d*h - 69. Let -2/5*c**2 - h*c - 8/5 = 0. Calculate c.
-4, -1
Factor 48/5*k - 18/5 - 2/5*k**4 + 16/5*k**3 - 