(-140). Solve 3/2*i**2 - 3*i + a + 9/2*i**3 - 3/2*i**5 - 3/2*i**4 = 0 for i.
-2, -1, 0, 1
Find r, given that -1980*r + 426521 - 56527 + 2*r**2 + 120056 = 0.
495
Let h be (1282/10)/((-99)/(-55)). Let v = h - 71. Suppose 4/9*m + 0 - 2/3*m**4 - 2/9*m**5 + 2/3*m**2 - v*m**3 = 0. What is m?
-2, -1, 0, 1
Let g = -147707 + 2806497/19. Determine w so that 30/19*w**2 + 2/19*w**3 - g - 36/19*w = 0.
-16, -1, 2
Let c(w) be the second derivative of w**5/140 - w**4/28 + w**3/14 + 13*w**2 - 17*w. Let k(z) be the first derivative of c(z). Suppose k(m) = 0. Calculate m.
1
Let w(k) = -53*k - 1588. Let g be w(-30). Let l be -2 + 4*(-12)/(-8) + 0. Factor 2*i**3 + 8/5*i - 16/5*i**g - 2/5*i**l + 0.
-2*i*(i - 2)**2*(i - 1)/5
Factor -66*a + 10*a**2 - 94*a - a**3 + a**3 - 16*a + 416 + 2*a**3.
2*(a - 4)**2*(a + 13)
Let s be 1 - 44/12 - (-60 - -57). Let n(a) be the first derivative of -s*a**3 + 0*a + 15 + a**2. Suppose n(g) = 0. What is g?
0, 2
Let x(j) = j**3 - 37*j**2 + 73*j - 106. Let g be x(35). Let h be -4*g*(-11)/(-374). Factor -4/17 + 10/17*r**3 - h*r**4 - 18/17*r**2 + 14/17*r.
-2*(r - 2)*(r - 1)**3/17
Let d(o) be the second derivative of 0*o**2 - 3*o - 4/3*o**3 - 27/5*o**5 - 5*o**4 + 5. Suppose d(k) = 0. Calculate k.
-1/3, -2/9, 0
Let g = 47 + -39. Let u be (g/(-2))/(4/(-3)). Factor -f**3 - 2*f**u - 6*f**4 - 24*f**5 + 21*f**5.
-3*f**3*(f + 1)**2
Let h be (-217)/35 + 24/(1440/380). Suppose 0*l**2 - h*l**5 + 0*l - 2/5*l**3 + 0 - 8/15*l**4 = 0. Calculate l.
-3, -1, 0
Let x = 196257988/231 + -849600. Let b = x - 1/77. Factor 1/3 - b*j - 10/3*j**3 - 1/3*j**5 + 5/3*j**4 + 10/3*j**2.
-(j - 1)**5/3
Let u be 2/5 - 33264/(-40040). What is n in 14/13*n**4 - u*n + 72/13*n**2 + 0 - 60/13*n**3 = 0?
0, 2/7, 2
Suppose 3*h + d - 22 = -7, -4*d = -12. Factor -10920*q**h + 10925*q**4 - 13*q**3 - 65*q**2 - 47*q**3.
5*q**2*(q - 13)*(q + 1)
Suppose 66 - 336*v - 8*v**2 - 52 - 16 + 4*v**2 - 654 = 0. What is v?
-82, -2
Let m(q) = 4*q**3 - 62*q**2 + 1333*q - 5727. Let g(w) = -3*w**3 + 64*w**2 - 1333*w + 5740. Let l(h) = -3*g(h) - 2*m(h). Factor l(p).
(p - 31)**2*(p - 6)
Let a = 14122 + -27707/2. Let q = -3755/14 + a. Factor q*u**3 - 1/7*u**5 + 0*u**2 + 1/7*u**4 + 0*u + 0.
-u**3*(u - 2)*(u + 1)/7
Determine w so that -2/5*w**2 - 288/5 + 148/5*w = 0.
2, 72
Let d = 248 - 128. Let s = d - 117. Solve -2/7*r**4 + 0*r**2 + 0*r + 0 + 6/7*r**s = 0 for r.
0, 3
Let l(d) = 2*d**2 - 20*d + 52. Let k(p) = -4*p**2 + 40*p - 105. Let m = -183 + 181. Let f(w) = m*k(w) - 5*l(w). Find s such that f(s) = 0.
5
Let v(n) be the third derivative of 0*n + 33*n**2 + 1/120*n**6 + 1/40*n**5 + 0 + 1/3*n**3 - 1/420*n**7 - 1/6*n**4. Factor v(o).
-(o - 2)*(o - 1)**2*(o + 2)/2
Let s(c) be the third derivative of 17/4*c**3 - 1/40*c**5 - c**4 - 43*c**2 + 0 + 0*c. Factor s(i).
-3*(i - 1)*(i + 17)/2
What is t in -256/13*t + 0 - 2/13*t**2 = 0?
-128, 0
Let w(d) be the first derivative of d**5/15 - d**4/12 - 5*d**3/9 - d**2/2 + 1042. Factor w(u).
u*(u - 3)*(u + 1)**2/3
Let i(l) be the first derivative of 0*l + 31 + 0*l**2 - 1/2*l**4 + 12*l**3. Let i(f) = 0. Calculate f.
0, 18
Suppose 45*y - 40 = 7*y + 18*y. Factor -10/3 - 7/3*f - 1/3*f**y.
-(f + 2)*(f + 5)/3
Let s(y) be the third derivative of -11*y**6/540 - y**5/20 + y**4/18 - 7*y**3/2 - y**2 + 12*y. Let b(f) be the first derivative of s(f). Solve b(m) = 0.
-1, 2/11
Suppose 3*z = 0, -52*s + 51*s = 2*z - 3 + 1. Solve 2/3 + 4*h + 11/6*h**s = 0.
-2, -2/11
Let o = 914312/15 + -60954. Find k, given that -2/5 - 2/3*k - o*k**2 + 2/15*k**3 = 0.
-1, 3
Let x(z) be the first derivative of -z**5/90 - 61*z**4/18 - 3721*z**3/9 - 111*z**2 - 44. Let w(b) be the second derivative of x(b). Factor w(u).
-2*(u + 61)**2/3
Let u = 114943/2 + -57470. Factor u*g + 1/6*g**2 - 5/3.
(g - 1)*(g + 10)/6
Let j be (-10)/(-65) - (-150)/39. Solve -286*k**2 - 7*k - 16*k**3 + 56*k + 2*k + 32*k**j + 648 + 21*k = 0 for k.
-2, 9/4
Let i be (-6)/(-8) + 2128/(-2880). Let k = 31/90 - i. Factor k*x + 1/3*x**2 - 1/3*x**3 - 1/3.
-(x - 1)**2*(x + 1)/3
Let a(q) = -2*q**2 - 2631*q + 13209. Let r be a(5). Find y, given that 24/7*y**2 - 32/7 - 20/7*y**3 + 4/7*y**r + 16/7*y = 0.
-1, 2
Determine r so that -36*r - r**5 + 158*r**2 - 114*r**4 + 36*r - 44*r**2 - 3*r**3 + 4*r**5 = 0.
-1, 0, 1, 38
Let w(y) = -2*y + 66. Let n be w(35). Let a be (-2 - (6 + n)) + 2 - -2. Let 2/3*u**3 + a*u + 0 + 0*u**2 = 0. What is u?
0
Let o(a) = 9*a**2 + 9*a**2 - 51*a**2 + 16*a**2 - a**3 + 15*a**2 - 3*a. Let p(q) = 2*q**2. Let x(j) = -2*o(j) - 6*p(j). Suppose x(c) = 0. Calculate c.
0, 1, 3
Let x(g) be the first derivative of 80/3*g**3 + 0*g - 55/4*g**4 + 10*g**2 - 67 - 9*g**5. Factor x(b).
-5*b*(b - 1)*(b + 2)*(9*b + 2)
Suppose 0 = 6*v - 3*v - 15. Determine g, given that 88*g**v + 10*g**3 - 10*g**2 - 5*g**3 - 2*g**4 - 93*g**5 + 12*g**4 = 0.
-1, 0, 1, 2
Let r = 5346/19 - 26711/95. Factor 1/5*o**2 - 3/5*o**3 - r*o**4 + 0 + 3/5*o.
-o*(o - 1)*(o + 1)*(o + 3)/5
Let z(t) be the first derivative of -9/2*t**4 - 13*t**3 - 12*t**2 - 3*t - 11. Find b, given that z(b) = 0.
-1, -1/6
Let f(t) be the third derivative of 1/300*t**6 - 11*t**2 + 0*t + 0*t**3 - 2/75*t**5 + 3 + 1/20*t**4. Solve f(c) = 0 for c.
0, 1, 3
Let l = -478 + 512. Let -12*g**2 - l + 55 - 24*g - 57*g = 0. Calculate g.
-7, 1/4
Determine l so that 0 + 2/11*l**2 + 1272/11*l = 0.
-636, 0
Let v be (-16)/5 + 32/(-200)*5. Let l be (-12 - v) + 15 + -5. Determine h so that -2/17*h**3 + 10/17*h**l - 16/17*h + 8/17 = 0.
1, 2
Factor -4 - 3668*d**2 - 15*d - 439*d - 374*d - 39181*d**2.
-(207*d + 2)**2
Let t = -1560800/7 + 222972. Determine u, given that 2*u**2 + 0 - 2*u**4 - 6/7*u**5 + 2/7*u**3 + t*u = 0.
-2, -1, -1/3, 0, 1
Let f(m) be the first derivative of 60 - 25/2*m**2 + 21*m - 4/3*m**3. Factor f(p).
-(p + 7)*(4*p - 3)
Let 340 + 6*r**2 + r**3 - 108*r + 25*r - 261 - 62*r - 229 = 0. Calculate r.
-15, -1, 10
Let v(a) = a**2 - 242. Let k be v(-17). Factor 63*g**4 + k*g**4 - 21*g**2 - 41*g**4 + 21*g**5 + 81*g**3 + 6*g + 60*g**2.
3*g*(g + 1)**3*(7*g + 2)
Let l(m) be the third derivative of m**9/1512 - m**8/210 + m**7/420 + m**6/30 - 25*m**3/6 + 2*m**2 - 9*m. Let g(x) be the first derivative of l(x). Factor g(z).
2*z**2*(z - 3)*(z - 2)*(z + 1)
Let j(t) be the third derivative of 0 - 4*t**2 - 3/14*t**4 + 8/21*t**3 + t - 1/42*t**5. Suppose j(h) = 0. What is h?
-4, 2/5
Let i be -7 - (11460/(-225) - (-28)/12). Factor -i*y**2 + 32/5*y + 0 + 88*y**3 - 60*y**4.
-4*y*(3*y - 2)*(5*y - 2)**2/5
Suppose 0 = -2*l + q - 961, 766 + 183 = -2*l + 5*q. Let v = l - -3380/7. Suppose -v*c**5 - 2*c - 44/7*c**3 + 2/7 + 36/7*c**2 + 26/7*c**4 = 0. What is c?
1/3, 1
Let q(l) = 43*l**3 - 454*l**2 + 11*l. Let y(c) = 39*c**3 - 454*c**2 + 10*c. Let f(m) = -20*q(m) + 22*y(m). Factor f(r).
-2*r**2*(r + 454)
Let f(u) = 23*u**4 - 8*u**3 - 79*u**2 - 37*u + 11. Let x(m) = -12*m**4 + 4*m**3 + 40*m**2 + 18*m - 6. Let a(z) = 2*f(z) + 5*x(z). Determine l so that a(l) = 0.
-1, 2/7, 2
Let m = 73658 - 147313/2. Let 17/6*z - 1/6*z**3 + 7/6*z**2 + m = 0. Calculate z.
-1, 9
Let i = 109645/39868 + -2/9967. Factor -1/4*h**4 - 7/4*h**3 - 5/4*h - i*h**2 + 0.
-h*(h + 1)**2*(h + 5)/4
Let s(b) be the second derivative of 2*b**6/15 - 151*b**5/5 + 149*b**4 - 890*b**3/3 + 296*b**2 + 6643*b. Suppose s(c) = 0. What is c?
1, 148
Let x(s) be the third derivative of 5/3*s**4 - 1/24*s**6 - s**2 - 38 + 0*s**3 + 7/12*s**5 + 0*s. Factor x(w).
-5*w*(w - 8)*(w + 1)
Solve -423*r + 8*r**3 - 29*r**3 - 675 + 8*r**3 - 468*r + 16*r**3 - 213*r**2 = 0.
-3, -1, 75
Find m such that 0 - 2/7*m**4 + 24/7*m - 10/7*m**2 - 12/7*m**3 = 0.
-4, -3, 0, 1
Suppose 42 = 2*c + 60. Let w be (c - -4)*4/(-5). Suppose 3*i**2 + 95*i - 97*i - w*i**2 + 8 = 0. Calculate i.
-4, 2
Let j(d) be the first derivative of d**7/21 - d**6/15 - d**5/10 + d**4/6 + 48*d - 59. Let s(u) be the first derivative of j(u). Solve s(v) = 0.
-1, 0, 1
Let s(v) = -v**3 + v**2 + v - 1. Let t(q) = 6*q**3 + q**2 - 4*q + 11. Let z(o) = -5*s(o) - t(o). Let x be z(-6). Factor 1/2*c**3 + x + 0*c + 1/4*c**4 + 0*c**2.
c**3*(c + 2)/4
Let l(n) = -12*n - 2*n**3 + n**3 - 483 + 0*n**3 - 20*n**2 + 10*n. Let f be l(-21). Suppose 21/4*t**2 - 21/4*t**3 + f + 3/2*t**4 - 3/2*t = 0. Calculate t.
0, 1/2, 1, 2
Let c(d) = 2*d**2 + 4*d - 6. Let v be c(-6). Suppose -2*b - v = -8*b. What is y in 4*y**2 - 19 - 2*y**2 + 10 + b = 0?
-1, 1
Let h = 1788 - 1786. 