492. Let i(s) = j*q(s) - 6*n(s). Factor i(g).
2*(g - 57)**2
Determine l so that -2832/7 - 2824/7*l + 2/7*l**3 - 100*l**2 = 0.
-2, 354
Let i be (-29625)/71100*(162/(-20))/3. Factor -9/4*m**3 - i*m + 0*m**4 + 3*m**2 + 0 + 3/8*m**5.
3*m*(m - 1)**3*(m + 3)/8
Determine c so that -12*c - 9/2*c**2 - 10 - 1/2*c**3 = 0.
-5, -2
Suppose 18 = n + 2*h - 11, 4*n + 5*h - 128 = 0. Let u = n + -5. Factor u*f**4 + 0*f - 2*f - 72*f**3 + 0*f + 22*f**2 + 128*f**5.
2*f*(f + 1)*(4*f - 1)**3
Let g(s) = -s**2 - 10*s - 24. Let y be g(0). Let o be 12/y - ((-189)/6)/7. Determine d, given that 0*d + 0*d**3 + 2/7*d**o + 0 + 0*d**2 = 0.
0
Find o, given that -961/2*o**2 - 1/2*o**4 - 31*o**3 + 0 + 0*o = 0.
-31, 0
Suppose 31 = -94*p + 93*p + 2*n, 0 = 5*p - 4*n + 53. Determine r so that 0 - 3/2*r**2 - 3/4*r**p + 3/4*r**4 + 0*r = 0.
-1, 0, 2
Let t(k) be the first derivative of k**6/6 - 149*k**5/5 + 5475*k**4/4 + 1875*k**3 + 2244. Suppose t(i) = 0. Calculate i.
-1, 0, 75
Let s(p) be the third derivative of 7 + 0*p**3 + 1/60*p**4 + 0*p + 3*p**2 + 1/300*p**5 - 1/350*p**7 - 1/150*p**6. Factor s(u).
-u*(u + 1)**2*(3*u - 2)/5
Let a(t) be the first derivative of t**6/6 + 988*t**5 + 2440360*t**4 + 9644302720*t**3/3 + 2382142771840*t**2 + 941422823431168*t + 4616. Factor a(j).
(j + 988)**5
Determine u so that -840 - 8*u**3 - 12*u + 21*u**3 + 162*u**2 - 70*u**2 + 118*u**2 - 10*u**3 = 0.
-70, -2, 2
Let z(y) = 144*y**2 + 651*y + 978. Let g(k) = -14*k**2 - 65*k - 98. Let d(a) = 21*g(a) + 2*z(a). Determine x, given that d(x) = 0.
-17/2, -2
Let o(n) = -13*n**4 - 33*n**3 + 67*n**2 + 96*n. Let j(l) = 7*l**4 + 18*l**3 - 34*l**2 - 48*l. Let a(h) = -11*j(h) - 6*o(h). Solve a(t) = 0.
-4, -2, 0, 6
Let u(b) = 3*b**3 + 2*b**2 + 11*b + 40. Let x be u(-6). Let i = x - -602. Factor 0 - 2/13*v**3 + 2/13*v**4 + 0*v**2 + i*v.
2*v**3*(v - 1)/13
Let f(i) be the third derivative of i**7/70 - i**6/10 - 39*i**5/10 + i**4/2 + 77*i**3/2 - 2826*i**2. Let f(g) = 0. What is g?
-7, -1, 1, 11
Let z be (-1)/(((-1)/(-3))/(14/(-21))). Suppose 2*u = b + 6, -z*b + 13 = 2*u - 5. What is c in -2*c**b + 3*c**3 + 5*c**3 + 112*c**2 - 104*c**2 - 2*c**5 = 0?
-2, -1, 0, 2
Solve -1910/13 - 372/13*v + 2/13*v**2 = 0 for v.
-5, 191
Factor -171/2*q**3 + 22359/2*q + 7049/2*q**2 + 7569 + 1/2*q**4.
(q - 87)**2*(q + 1)*(q + 2)/2
Suppose -749*c + 10 = -748*c. Suppose 3*a + m = 4, -11*a - c = -13*a + 3*m. Factor -6/7 - 8/7*y - 2/7*y**a.
-2*(y + 1)*(y + 3)/7
Let w be (4/63)/((-216)/(-252)). Let r(u) be the first derivative of -2/9*u - w*u**3 + 2/9*u**2 - 3. Factor r(f).
-2*(f - 1)**2/9
Factor 25/4 - 1/4*z**2 + 6*z.
-(z - 25)*(z + 1)/4
Suppose -11 = 2*d - h, -4*d - 2*h + 114 = 140. Let b be -8 - d - (-10)/2. Let 4/9*y + 10/9*y**4 + 0 + 2*y**b + 14/9*y**2 + 2/9*y**5 = 0. What is y?
-2, -1, 0
Let q = 25265/36784 + 3/4598. Let p(u) be the third derivative of -5/4*u**3 + u**2 - 7/40*u**5 + 0 + 0*u - q*u**4 - 1/80*u**6. Factor p(y).
-3*(y + 1)**2*(y + 5)/2
Let x = 3/141818 - -638175/283636. Factor 0 - x*o - 1/4*o**3 + 3/2*o**2.
-o*(o - 3)**2/4
Let a(w) = -58*w**2 - 113*w - 91. Let y(o) = 45*o**2 + 85*o + 68. Let d(t) = 14*a(t) + 18*y(t). Factor d(g).
-2*(g + 1)*(g + 25)
Let b(p) = -75*p**2 + 925*p + 4520. Let o(q) be the second derivative of 7*q**4/12 - 14*q**3 - 411*q**2/2 - 206*q. Let s(w) = -6*b(w) - 65*o(w). Factor s(l).
-5*(l + 9)**2
Let o(y) = -48 - 29*y - 42*y + 3 + 165*y**2 - 42*y. Let w(q) = -55*q**2 + 38*q + 15. Let i(r) = -2*o(r) - 7*w(r). Factor i(u).
5*(u - 1)*(11*u + 3)
Find v, given that 120/7 + 3/7*v**4 - 36*v - 45/7*v**3 + 174/7*v**2 = 0.
1, 2, 10
Let x(z) = -10*z - 38. Let u be x(-4). Factor 181 - 82*t**2 + 93*t**u - 340*t + 153*t**2 + 4*t**3 - 9.
4*(t - 1)**2*(t + 43)
Let o(u) be the first derivative of 3*u**5/20 + 3*u**4/4 + u**3 - 71*u + 88. Let g(y) be the first derivative of o(y). Factor g(f).
3*f*(f + 1)*(f + 2)
Suppose m - 7 = 10*d - 13*d, -4*m = -3*d + 2. Find c, given that 794*c - 18 - 384*c - c**d - 391*c = 0.
1, 18
Determine t, given that -174050 + 1775*t**3 + 436305*t - 348091*t**2 - 3*t**4 + 64513*t**2 + 19551*t**2 = 0.
2/3, 1, 295
Let h be 825/396*10/75. Let q(n) be the third derivative of 1/60*n**5 + 16*n**2 - 7/18*n**3 - h*n**4 + 0*n + 0. Determine f so that q(f) = 0.
-1/3, 7
Let g(k) be the first derivative of -k**6/540 + 7*k**5/90 + 8*k**4/9 - 172*k**3/3 - 93. Let u(a) be the third derivative of g(a). Solve u(w) = 0 for w.
-2, 16
Suppose 97336/7*g + 184/7*g**3 + 2/7*g**4 + 559682/7 + 6348/7*g**2 = 0. What is g?
-23
Determine x so that 380 + 2*x**2 + 57*x + 246*x + x**2 + 502 = 0.
-98, -3
Solve 2*f**4 + 56 + 58 - 10*f**3 + 6*f + 2*f + 12*f**2 - 130 = 0.
-1, 2
Solve -1540/3*i**4 + 536/9*i - 242*i**5 + 1642/9*i**3 + 16/9 + 4604/9*i**2 = 0.
-2, -1, -2/33, 1
Let s = -904 + 907. Let u be s*(-4)/(-16)*4. Let -4/3*x**4 - 14*x**2 + 0 + 25/3*x**3 + u*x = 0. What is x?
0, 1/4, 3
Let q(m) be the first derivative of -m**4/4 + 3*m**3 + 4*m - 8. Let k be q(9). What is a in 18*a**2 + k*a**3 - 2*a**2 - 59*a + 71*a = 0?
-3, -1, 0
Let n be (-10)/(-6) - 2/(-6). Suppose 4*f - h = 77, 3*h = -2*f - n*f + 89. Suppose 7 + 2 + 11 - 5*z**4 - 20*z**3 + f*z - 15*z**2 = 0. Calculate z.
-2, -1, 1
Factor 3397112492 - 1/2*l**4 + 3391731638*l + 5681/2*l**3 - 5378013*l**2.
-(l - 1894)**3*(l + 1)/2
Suppose -12*b + 2214 = -246. Find x such that -303*x**3 + 65*x**2 - b*x + 45*x**2 + 298*x**3 + 100 = 0.
1, 20
Let f(t) be the first derivative of -t**5/15 + t**4/3 + 73*t**3/9 + 28*t**2/3 - 44*t + 401. Determine u, given that f(u) = 0.
-6, -2, 1, 11
Solve 2*i**3 + 770/3*i + 242/3 + 134/3*i**2 = 0.
-11, -1/3
Let d(i) = 7*i + 404. Let v be d(-56). Let b be (-104)/v - (2 + -11). Factor -1 + 2/3*w + b*w**2.
(w - 1)*(w + 3)/3
Suppose 20 + 980*w**4 + 220*w + 927*w**3 + 79*w**3 + 70*w**3 + 297*w**2 + 588*w**2 + 464*w**3 = 0. Calculate w.
-1/2, -2/7
Let m(t) be the first derivative of 2*t**3/27 + 2*t**2/9 - 10*t/3 + 13124. Factor m(f).
2*(f - 3)*(f + 5)/9
Let i = 153935 - 153932. Factor 0 + 2/5*v**i + 12/5*v - 2*v**2.
2*v*(v - 3)*(v - 2)/5
Let u(q) = -4*q - 111. Let h be u(-29). Factor -1 + 135*g - 94 - 45*g + h*g**2.
5*(g - 1)*(g + 19)
Factor -4/7*p**2 - 120/7*p + 1216/7.
-4*(p - 8)*(p + 38)/7
Let s = 42 - 414. Let t = s - -376. Let 0*n**2 + 0 + 2/3*n**3 + 1/3*n**t - 1/3*n**5 + 0*n = 0. What is n?
-1, 0, 2
Suppose -22*o = -38*o + 528. Factor 4*t**3 - 255*t**2 + 15*t + 76*t**2 + 71*t**2 + 78*t**2 + 32 + o*t.
2*(t - 4)**2*(2*t + 1)
Let n be 14/(7/63*-3*-6). Let w(c) be the second derivative of 1/120*c**6 - 1/24*c**4 + 1/8*c**2 + 0*c**5 + 0*c**3 + 0 + n*c. Factor w(h).
(h - 1)**2*(h + 1)**2/4
Let k = 216/8527 - -101244/42635. Factor k*g + 2/5*g**2 - 2/5*g**3 + 0.
-2*g*(g - 3)*(g + 2)/5
Let z(b) be the first derivative of -4*b**6/9 + 42*b**5 + 3571*b**4/6 + 13786*b**3/9 + 1451*b**2 + 1424*b/3 + 13947. Determine y so that z(y) = 0.
-8, -1, -1/4, 89
Let z(b) = -4*b + 98. Let o be z(23). Factor -2*f**3 - 99*f**2 + 103*f**2 + o*f**3.
4*f**2*(f + 1)
Determine h so that -15*h - 57/2*h**2 + 0 - 12*h**3 + 3/2*h**4 = 0.
-1, 0, 10
Let g(v) be the second derivative of 1/6*v**4 + 0 + 17/2*v**2 + 3*v + 1/30*v**5 - v**3. Let x(l) be the first derivative of g(l). Solve x(s) = 0.
-3, 1
Let n = -1/27 + 10/27. Let c be (328/40 + -20 - -14) + 2/(-10). Factor -4/3*x + n*x**c + 4/3.
(x - 2)**2/3
Determine b, given that 0 + 206/9*b**2 - 68/9*b - 2/9*b**5 + 74/9*b**4 - 70/3*b**3 = 0.
0, 1, 34
Factor -104/3*n - 122/3*n**2 - 32/3*n**3 + 8.
-2*(n + 2)**2*(16*n - 3)/3
Let x be (2*-9 + (-16611)/(-1017))/(40/(-72)). Factor 0*r + 1/9*r**5 + 0 - 4/3*r**2 - 8/9*r**x + 1/9*r**4.
r**2*(r - 3)*(r + 2)**2/9
Suppose 0 = 11*g - 7*g + 16, 4*k - 28 = 4*g. Let w(f) = f**2 + 2*f + 2. Let z(i) = 2*i**2 + i + 3. Let n(u) = k*w(u) - 2*z(u). Factor n(p).
-p*(p - 4)
Let v be -9 - 2 - 145244/(-13200). Let g(n) be the third derivative of 0*n - 9*n**2 + 0 + 0*n**3 - v*n**5 - 1/60*n**4. Factor g(m).
-m*(m + 2)/5
Factor 4*h**3 + 64/17*h + 2/17*h**4 + 130/17*h**2 + 0.
2*h*(h + 1)**2*(h + 32)/17
Let i be (-4 - (-132)/30) + 18048/1280. Let 71/4*s**2 - 117/8*s - 81/4 + i*s**3 + 5/2*s**4 + 1/8*s**5 = 0. What is s?
-9, -2, -1, 1
Let j(v) = -3*v**5 + 58*v**4 - 82*v**3 + 37*v**2 - 5. Let q(f) = -3*f**5 + 60*f**4 - 81*f**3 + 36*f**2 - 6. Let b(n) = 6*j(n) - 5*q(n). Factor b(p).
-3*p**2*(p - 14)*(p - 1)**2
Let f(i) be the 