 985*y. Factor b(x).
5*(x + 226)**3
Let d(h) = -2*h**2 + 1368*h + 236700. Let w(k) = 3*k**2 - 2738*k - 473393. Let x(n) = -7*d(n) - 4*w(n). Factor x(s).
2*(s + 344)**2
Let q(o) be the first derivative of -1/3*o**2 + 0*o - 2*o**3 + 48. Solve q(w) = 0 for w.
-1/9, 0
Determine v, given that -6436*v - 52*v**3 + 16*v**3 - 4067*v**2 - 5605*v**2 - 842 - 230 = 0.
-268, -1/3
Let t(m) be the third derivative of -m**5/12 + 25*m**4/2 - 285*m**3/2 + 2119*m**2. Suppose t(g) = 0. Calculate g.
3, 57
Let h(i) be the third derivative of -i**7/12600 + i**6/225 - i**4/12 + 4*i**3 + 70*i**2. Let x(z) be the second derivative of h(z). Find u, given that x(u) = 0.
0, 16
Let s(j) be the third derivative of j**7/70 + 7*j**6/20 + 29*j**5/20 - 13*j**4 + 30*j**3 + 3297*j**2. Factor s(p).
3*(p - 1)**2*(p + 6)*(p + 10)
Let d(x) be the first derivative of -4*x**3/3 - 474*x**2 - 3728*x - 4857. Determine k so that d(k) = 0.
-233, -4
Let k(y) = -y**2 - y + 1. Suppose -11*r + 7*r + 8 = 0. Let b(t) = -3 + r + 2. Let h(j) = -3*b(j) + 3*k(j). Factor h(z).
-3*z*(z + 1)
Suppose -8*f + 10*f - 3*c = 13, -3*f = -4*c - 18. Suppose -8*k + 7*k - 4 = -f*o, 4*k + 16 = 0. Determine j so that 2/3*j**2 + o - 4/3*j = 0.
0, 2
Determine s so that 1272 + 280*s + 4*s**2 + 252*s - 744 = 0.
-132, -1
Let q be -3 + (-54)/(-6) - 6. Factor 64 + 15*h**2 - 2*h**2 - 36*h - 11*h**2 + q*h**2.
2*(h - 16)*(h - 2)
Solve 69/4*x - 81/8 - 4*x**2 - 13/4*x**3 + 1/8*x**4 = 0.
-3, 1, 27
Let y be 36/7 - 0/(-2). Let d be ((2*3/(-5))/(2373/(-3390)))/(-54 + 55). Determine v, given that y + d*v + 1/7*v**2 = 0.
-6
Suppose 0 = 3*j + 2*x - 4*x - 11, -5*j - 2*x = -45. Suppose -1089 + 190 = -5*t - 3*w, 2*w - 718 = -4*t. Solve 220 + t - 108*b + j + 5*b**2 + 18*b = 0 for b.
9
Let h = 135 + -191. Let p = h + 58. Solve -4 - 35*c**2 + 64*c**2 - 8*c - 33*c**p = 0 for c.
-1
Let u = -1/8265 + 371932/57855. Factor u*k + 1/7*k**3 - 22/7 - 24/7*k**2.
(k - 22)*(k - 1)**2/7
Let p(y) = -12*y**3 + 38*y**2 + 557*y - 600. Let h(l) = -3*l**3 + 10*l**2 + 139*l - 150. Let d(r) = -17*h(r) + 4*p(r). Determine b, given that d(b) = 0.
-5, 1, 10
Let y(d) be the first derivative of -2*d**3/27 - 19*d**2/9 + 100*d/3 + 219. Determine w, given that y(w) = 0.
-25, 6
Let g be (186/372 - (-2 - (-10)/4))/11. Let -1/9*s**5 - 1/9*s**4 + 8/9*s**3 + g + 4/3*s**2 + 0*s = 0. Calculate s.
-2, 0, 3
Suppose -267 - 535 = -2*h + 5*d, -4*h + 1560 = d. Let z = h + -2733/7. Factor z*u - 2/7*u**2 - 2/7.
-2*(u - 1)**2/7
Solve -825*y + 5/2*y**2 - 1655/2 = 0.
-1, 331
Suppose 0 = -2*y + 2*v, 5*v = 3*y - 0 + 4. Suppose 62*a - 61*a = y. Factor -11*f**3 + f**2 - 4*f**4 - 9*f**a - f**3.
-4*f**2*(f + 1)*(f + 2)
Let o(z) = 56*z + 1. Let j be o(1). Find g, given that -8*g**3 - 4*g**3 - 2*g**4 - 9*g**2 + j*g**2 + 0*g**3 - 52*g + 18 = 0.
-9, 1
Let t = 4186529/15 + -837304/3. Factor t*d**2 - 12 + 3/5*d.
3*(d - 4)*(d + 5)/5
Let o(q) = 13*q**3 + 239*q**2 + 140*q - 89. Let c(h) = -25*h**3 - 477*h**2 - 278*h + 179. Let l(g) = -6*c(g) - 10*o(g). Factor l(r).
4*(r + 1)*(r + 23)*(5*r - 2)
Suppose 0 = -4*a + 2*r + 2038, 4 = 3*r - 11. Let n = 517 - a. Solve 100/3*t**4 + 14*t**n + 0*t**2 - 8/3*t + 0 + 22*t**3 = 0 for t.
-1, -2/3, 0, 2/7
Let f(a) be the first derivative of 0*a**2 + 4/3*a**3 + 1/3*a**6 + 0*a + 8/5*a**5 + 5/2*a**4 - 27. Factor f(u).
2*u**2*(u + 1)**2*(u + 2)
Suppose 216*w + 384 = -54*w + 1464. Let z(x) be the first derivative of -4*x + 7/2*x**2 - 44 + 1/8*x**w - 7/6*x**3. Factor z(i).
(i - 4)*(i - 2)*(i - 1)/2
Let q = 100 + -95. Suppose -w + 0*w - 2*c - q = 0, -2*c - 20 = -4*w. Solve 96*t**4 - 50*t**4 - w*t + 9*t**2 - 9*t**3 - 43*t**4 = 0 for t.
0, 1
Let m(y) = y**3 + 15*y**2 + 12. Let t be m(-15). Factor 23*d + t + 11*d + 2*d + 18*d**3 + 3*d**4 + 39*d**2.
3*(d + 1)**2*(d + 2)**2
Suppose -73 = 11*a - 117. Suppose 4*k + a = -j, 2*j - 5*k - 5 = 5*j. Factor j + 9/5*b**2 - 6/5*b - 3/5*b**3.
-3*b*(b - 2)*(b - 1)/5
Let i(h) be the first derivative of -h**4/12 + 7*h**3 + 134*h**2 + 740*h/3 - 4767. Let i(g) = 0. Calculate g.
-10, -1, 74
Let n(a) be the first derivative of -5*a**3/12 + 325*a**2/8 + 335*a/2 - 569. Solve n(p) = 0 for p.
-2, 67
Let p(x) be the first derivative of -x**5 - 30*x**4 + 260*x**3/3 + 130. Factor p(o).
-5*o**2*(o - 2)*(o + 26)
Solve -72*y**4 + 210*y**2 - 37 + 4 - 60*y**3 + 63*y - 26 - 3*y**5 - 44 - 35 = 0.
-23, -2, -1, 1
Let f = -75 + 42. Let h = 36 + f. Factor 3*m**h + m**2 - 1919 + 3*m**4 + m**5 + 1919.
m**2*(m + 1)**3
Suppose 154*c = 150*c + 24. Suppose -9*k + 12*k = -4*a + c, 4*k + 5 = -a. Factor -1/5*s**5 + 0*s**4 + 0 - 16/5*s + 0*s**2 + 8/5*s**a.
-s*(s - 2)**2*(s + 2)**2/5
Factor -2*f**2 + 45*f - 981 - 133*f - 72*f - 3*f**2 - 174.
-5*(f + 11)*(f + 21)
Let a = 4572/1351 - -174/193. Suppose -50/7*r**2 + 0 + 0*r + 18/7*r**4 - 2/7*r**5 - a*r**3 = 0. Calculate r.
-1, 0, 5
Suppose -147*i**3 + 445*i + 32*i**2 - 570 - 57*i**2 + 73*i**3 - 45*i**2 + 69*i**3 = 0. Calculate i.
-19, 2, 3
Let l(q) be the second derivative of q**6/2700 + 7*q**5/900 + q**4/15 + 217*q**3/6 - 20*q. Let g(f) be the second derivative of l(f). Factor g(h).
2*(h + 3)*(h + 4)/15
Suppose -9 - 3 = -5*i + 8. Let q(n) be the second derivative of 0*n**2 - 1/6*n**6 + 0 + 0*n**3 + 3/4*n**5 + 3*n - 5/6*n**i. Determine u so that q(u) = 0.
0, 1, 2
Suppose -j - 3*m - 7 = -2*j, -2*m = 0. Suppose -36 = -10*w + j*w. Factor -1 - 4 - 9*o - w*o**2 + 1 + 2 - 5*o**3.
-(o + 1)**2*(5*o + 2)
Factor -8762/9*n**2 - 24200 + 244/9*n**3 - 2/9*n**4 + 26840/3*n.
-2*(n - 55)**2*(n - 6)**2/9
Let u(f) be the first derivative of 4/5*f**2 - 28/15*f**3 + 7/25*f**5 + 1/2*f**4 + 0*f + 38 - 1/10*f**6. Determine c so that u(c) = 0.
-2, 0, 1/3, 2
Let u be ((-2)/3)/((2/(-2))/3). Suppose -u*m - 6 = -2*s, 2*s - 3*m - 41 = -8*m. Find p, given that -s*p**3 + 3*p**5 + p**5 - 5*p + 9*p = 0.
-1, 0, 1
Let r(f) be the second derivative of f**4/54 - 532*f**3/27 + 70756*f**2/9 - 224*f. Factor r(o).
2*(o - 266)**2/9
Suppose w + 4*q - 323 = 0, -4*q + 0*q + 658 = 2*w. Let c = 337 - w. Factor -1/2*g**3 - 1 + g**c + 1/2*g.
-(g - 2)*(g - 1)*(g + 1)/2
Let a(b) be the first derivative of b**6/420 - 3*b**5/70 - 5*b**4/42 + 101*b**2/2 - 85. Let d(f) be the second derivative of a(f). Factor d(o).
2*o*(o - 10)*(o + 1)/7
Let k = -7962 + 7964. Let m(i) be the first derivative of 14*i**3 + 17/4*i**4 + 8*i + 7/15*i**5 - 21 + 58/3*i**k. Factor m(b).
(b + 2)**2*(b + 3)*(7*b + 2)/3
Let q(i) be the first derivative of i**3/4 + 5379*i**2/2 + 9644547*i - 3992. Let q(d) = 0. What is d?
-3586
Suppose 0 = -3*a - 2*i - 2, 4*i + 5 = a - 13. Let c = 58/561 + 4/51. Let 0 + 2/11*o + c*o**3 - 4/11*o**a = 0. What is o?
0, 1
Let i(x) be the first derivative of 2*x**5/5 - 35*x**4/2 - 74*x**3/3 + 35*x**2 + 72*x + 1685. Factor i(j).
2*(j - 36)*(j - 1)*(j + 1)**2
Let g(l) be the second derivative of l**7/10080 + l**6/480 - l**4/6 - 2*l**2 + 3*l + 10. Let d(x) be the third derivative of g(x). Factor d(j).
j*(j + 6)/4
Let s = 343344 + -343339. Find w such that 46/3*w + 16/3*w**4 + 16*w**3 + 68/3*w**2 + 4 + 2/3*w**s = 0.
-3, -2, -1
Let k(g) be the first derivative of g**7/504 + g**6/90 + g**5/80 - g**4/36 - g**3/18 - 80*g - 198. Let x(y) be the first derivative of k(y). Solve x(j) = 0.
-2, -1, 0, 1
Let f(d) = -30*d**2 + 91*d + 169*d + 38*d + 16 - 13*d + 5. Let b(n) = -7*n**2 + 71*n + 5. Let u(c) = -21*b(c) + 5*f(c). Find g such that u(g) = 0.
-22, 0
Let b = -119/176 - -45889/1232. Factor -1/7*j**2 + 32/7*j - b.
-(j - 16)**2/7
Factor 5622 + 5280*x - 2807 + 5*x**2 - 2815.
5*x*(x + 1056)
Let d(g) be the second derivative of -g**4/3 - 94*g**3/3 - 92*g**2 + 104*g. Solve d(o) = 0 for o.
-46, -1
Let i = -13 + -2. Let u be (-5 + i/(-3))/(1 + 2). Factor -1/5*f**4 + 0*f**3 + u*f + 0 + 1/5*f**2.
-f**2*(f - 1)*(f + 1)/5
Suppose -432 - 864*b + 969*b**2 + 837*b**2 - b**5 - 23*b**4 - 2391*b**2 - 175*b**3 = 0. What is b?
-12, -4, -3, -1
Let w = -3011213627/1219938 + -1/406646. Let u = w - -2490. Let u*y + 845/6 + 5/6*y**2 = 0. What is y?
-13
Let d = -7036 - -7039. Let g(x) be the second derivative of -1/12*x**4 + 4*x + 0 + 2/3*x**d + 5/2*x**2. Find j, given that g(j) = 0.
-1, 5
Let v(g) be the second derivative of -1/40*g**5 - 63/4*g**2 - 49 - 1/24*g**4 + 11/4*g**3 + 2*g. Determine z, given that v(z) = 0.
-7, 3
Let d(h) = 7*h**3 + 44*h**2 + 125*h - 4. Let u(o) = -o**3 + o**2 + 10*o + 1. Let w(m) = -d(m) - 4