2/5 - 252/5*g + 3/5*g**3 - 108/5*g**2.
3*(g - 38)*(g - 2)*(g + 4)/5
Let y(h) = -13*h**2 - 21*h - 18. Let g(o) = -11*o**2 - 22*o - 21. Let a be (-2)/5*(-340)/34. Let v(l) = a*g(l) - 3*y(l). Determine t so that v(t) = 0.
-3, -2
Determine f, given that 0 - 11/9*f**2 + 1/9*f**3 + 8/3*f = 0.
0, 3, 8
Factor 46/3*g**4 + 962/3*g - 338/3 + 188/3*g**3 + 2/3*g**5 - 860/3*g**2.
2*(g - 1)**3*(g + 13)**2/3
Let i be (55/(-30) + (-4)/(-12))/((-29008)/2624 - -11). Factor i*w + 28 - 2/3*w**2.
-2*(w - 42)*(w + 1)/3
Factor -14*f - 3*f**3 + 5*f - f**2 - f**4 + 3*f + 2 + 5*f + 4*f.
-(f - 1)*(f + 1)**2*(f + 2)
Let a = 3 + -4. Let n(d) = -d**4 + d**3 + d. Let i(q) = -q**5 + 6*q**4 - 37*q**3 + 64*q**2 - 27*q. Let x(g) = a*i(g) + 5*n(g). What is j in x(j) = 0?
0, 1, 2, 4
Let f be (8 - 5)/(-3)*-1281. Let w be f/122 + 8*-1. Determine k, given that w*k**4 + 3 - 11/2*k**2 - 13/2*k + 13/2*k**3 = 0.
-3, -1, 2/5, 1
Suppose 34*p + 101 - 33 = 0. Let y be ((-8)/140)/(p/10). Suppose y*t**2 + 72/7 - 24/7*t = 0. What is t?
6
Suppose 0*n + n + 5 = 0, -1170 = -5*g - 4*n. Let w = -30 + 265. Determine v, given that 18*v**4 + w*v**5 - 32*v**3 - g*v**5 + 5*v**3 = 0.
0, 3
Let f(j) = 30*j**2 + 1920*j - 5295. Let t(r) = -5*r**2 - 320*r + 879. Let d(c) = -6*f(c) - 35*t(c). Let d(u) = 0. Calculate u.
-67, 3
Let g(x) be the first derivative of -4*x**3/3 - 1076*x**2 - 289444*x + 1305. Factor g(l).
-4*(l + 269)**2
Let d be (-12)/14*((-25991)/94)/79. Let y(r) be the first derivative of -37 - 4/5*r**2 + 2/15*r**d + 6/5*r. Factor y(z).
2*(z - 3)*(z - 1)/5
Let p be 75/(-125)*35/(-504). Let r(d) be the third derivative of 0*d**4 + p*d**5 + 0*d + 0*d**3 - d**2 + 0. Factor r(o).
5*o**2/2
Let c(l) = -l**2 - 3*l + 1. Let y = -340 - -336. Let d(x) = -2*x**2 - 113*x + 2707. Let p(t) = y*d(t) + 12*c(t). Factor p(h).
-4*(h - 52)**2
Let g be 12/8*3540/18. Let t**2 - 29*t**2 + 200 + 103*t + g*t + 294*t = 0. Calculate t.
-2/7, 25
Let a(r) be the second derivative of r**7/3780 - r**5/15 + 49*r**3/6 + r**2 - 298*r. Let c(m) be the second derivative of a(m). Factor c(j).
2*j*(j - 6)*(j + 6)/9
Let -176*a**3 - 2088/5*a**4 - 324/5*a**5 - 96/5*a**2 + 0*a + 0 = 0. What is a?
-6, -2/9, 0
Find t such that 441/2 + 3/2*t**3 - 483/2*t + 39/2*t**2 = 0.
-21, 1, 7
Let p(n) be the second derivative of n**4/12 - 51*n**3 + 2067*n. Factor p(b).
b*(b - 306)
Let w(m) = 92*m + 2218. Let t be w(-24). Let p(j) be the second derivative of 3/4*j**3 + 1/40*j**5 + 0*j**2 - 1/4*j**4 + 0 + t*j. Solve p(u) = 0 for u.
0, 3
Let y(i) be the second derivative of -i**5/20 + 5*i**4/3 - 3*i**3 - 19*i**2/2 - 203*i. Let j be y(19). Factor 0*z + 2/3*z**3 + j + 1/3*z**2 + 1/3*z**4.
z**2*(z + 1)**2/3
Suppose 4 = -112*p + 497 + 67. Let h(x) be the third derivative of 7/12*x**p - 40/3*x**3 + 0 - 1/24*x**6 + 0*x - 5/3*x**4 - 40*x**2. Factor h(k).
-5*(k - 4)**2*(k + 1)
Let b(n) = 17*n**3 - n**2 - 6*n + 7. Let k be b(1). Factor k + 33 - 5*l**2 - 6*l + 20*l + l.
-5*(l - 5)*(l + 2)
Solve -5/3 - 11/3*j**3 + 11/3*j + 7*j**2 - 16/3*j**4 = 0 for j.
-1, 5/16, 1
Let i(m) be the second derivative of -m**7/21 + 2*m**6/15 + 7*m**5/10 + 2*m**4/3 + 2305*m. Factor i(h).
-2*h**2*(h - 4)*(h + 1)**2
Let y(t) = -3*t**3 - t - 2. Let g be y(-1). Find f, given that -330*f + 310*f - 16*f**3 + 2 + 0 + 4*f**g + 30*f**2 = 0.
1/8, 1
Factor -48/5*u + 2/5*u**2 + 88/5.
2*(u - 22)*(u - 2)/5
Let -4904/3*x**2 - 9680/3 + 1/3*x**5 + 14608/3*x - 56/3*x**3 + 31/3*x**4 = 0. What is x?
-22, 1, 2, 10
Let m(q) be the second derivative of 3/5*q**4 + 0*q**2 + 0 + 0*q**3 - 95*q - 1/25*q**6 - 3/50*q**5. Factor m(u).
-6*u**2*(u - 2)*(u + 3)/5
Let f be (4/12)/(3/162). Let m be 1138/f - 1 - 4/18. Determine d so that 5*d**4 + m*d + 43*d**2 + 84 - 222*d + 77*d**2 - 40*d**3 - 4 = 0.
2
Factor -16/9*s - 2/3*s**2 + 2/9*s**4 - 8/9 + 4/9*s**3.
2*(s - 2)*(s + 1)**2*(s + 2)/9
Suppose -3*t + 2*l = -14 - 24, t + 4*l + 6 = 0. Suppose -44 = -w - t*w. Determine j, given that 1/2 - j**3 + 1/6*j**w + 2*j**2 - 5/3*j = 0.
1, 3
Let r = 4262 - 25567/6. Let j(l) be the second derivative of 1/24*l**4 + r*l**3 + 0 - 16*l + 25/4*l**2. Suppose j(v) = 0. What is v?
-5
Find y such that 4/7*y**3 + 3336/7*y**2 + 0 + 695556/7*y = 0.
-417, 0
Let n(i) be the second derivative of i**5/60 + i**4/24 - i**3 + 25*i**2 - i + 33. Let u(w) be the first derivative of n(w). Factor u(f).
(f - 2)*(f + 3)
Let o(w) be the third derivative of 214/15*w**6 + 0*w - 9073/15*w**5 + 0*w**3 + 31 + 2*w**2 - 2/21*w**7 - 1849/3*w**4. Solve o(z) = 0.
-2/5, 0, 43
Let c(l) be the third derivative of -l**6/120 + 47*l**5/10 - 6627*l**4/8 - 879*l**2. Suppose c(k) = 0. What is k?
0, 141
Let t(v) = -3*v**2 - 150*v + 735. Let y = -146 + 142. Let a(l) = -l**2 - 74*l + 367. Let d(q) = y*t(q) + 9*a(q). Factor d(s).
3*(s - 11)**2
Let l(n) = 3*n**2 + 14*n + 5. Let v(q) = 4 - 2*q**2 - 1 - 12*q - 7. Let h(o) = 4*l(o) + 5*v(o). Factor h(r).
2*r*(r - 2)
Let f be (1/3*-3)/(286/(-572)). Find d such that -2/5*d**f + 36/5 - 6/5*d = 0.
-6, 3
Let p be (40/8)/(10/4). Let m = 26 + -21. Factor -4*f - f + 5*f**2 + m*f**3 + 2*f - p*f - 5.
5*(f - 1)*(f + 1)**2
Let w(t) = -33*t**2 - 696*t - 3888. Let f(x) = 52*x**2 + 1044*x + 5832. Let h(n) = 5*f(n) + 8*w(n). Factor h(m).
-4*(m + 6)*(m + 81)
Suppose 76*p = 80*p - 708. Find m, given that -3*m**3 + 204*m - 3*m**4 - 2 + 2 - p*m + 27*m**2 = 0.
-3, -1, 0, 3
Let h(r) be the third derivative of r**6/240 + 101*r**5/40 + 151*r**4/24 - 526*r**2. Factor h(q).
q*(q + 1)*(q + 302)/2
Factor -3*w**2 - 465 + 340*w + 124 + 4*w**2.
(w - 1)*(w + 341)
Suppose -20 = 2*h - 24. Factor 2*s**2 - s**3 - 37*s**2 - 26*s + 13*s**2 - 5*s**h.
-s*(s + 1)*(s + 26)
Solve -61533447 - 3072*o**5 - 2935*o**4 - 13815637*o**2 - 92218*o**4 + 159375*o**3 - 42436860*o - 1774095*o**3 + 2108917*o**2 - 16207*o**4 = 0.
-29/4
Let m = 317405 - 317403. What is b in 20/3*b - 32/3 - 2/3*b**m = 0?
2, 8
Let c(l) be the second derivative of l**5/25 + 89*l**4/15 - 364*l**3/15 - 675*l. Solve c(y) = 0.
-91, 0, 2
Let v(g) be the third derivative of 0 - 1024/9*g**3 - 67/315*g**7 + 1219/180*g**6 - 653/18*g**5 + 0*g + 89*g**2 + 784/9*g**4 + 1/504*g**8. Factor v(j).
2*(j - 32)**2*(j - 1)**3/3
Let d(o) be the first derivative of -99*o**5 - 505*o**4/2 - 20*o**3/3 + 20*o**2 + 1393. Let d(z) = 0. Calculate z.
-2, -2/9, 0, 2/11
Let g be (1/2*3)/(51/68). Let 29*m + 36*m + 6*m**g + 2*m**2 - 3*m**2 = 0. Calculate m.
-13, 0
Let d be (20/3)/(240/7056*49). Determine l, given that 10/9*l**3 + 4/9*l**5 - 10/3*l**d + 0 + 10/3*l**2 - 14/9*l = 0.
-1, 0, 1/2, 1, 7
Let f(i) = -i**3 + 4*i**2 + 17*i - 57. Suppose -2*r + 6 + 0 = 0. Let c be f(r). Let -6/5*k**2 + 54/5 + 18/5*k - 2/5*k**c = 0. Calculate k.
-3, 3
Factor 238/5*l**2 + 96*l + 0 - 1/5*l**3.
-l*(l - 240)*(l + 2)/5
Let l(k) = -4*k**3 - 226*k**2 - 108*k + 224. Let w be l(-56). Find u such that w*u - 5/3*u**4 - 60*u**2 + 0 + 20*u**3 = 0.
0, 6
Let -536*j + 428*j**3 + 0*j**5 + 12*j**4 + 722*j - 5*j**5 - 876*j**2 + 254*j + j**5 = 0. What is j?
-10, 0, 1, 11
Suppose -3*j + 11 = 2*n, -4*n = -5*j + 18 - 7. What is s in 4005*s - 1698*s - 12288*s - 7806*s - 3*s**j + 462*s**2 = 0?
0, 77
Let o(k) = -28*k - 52. Let i be o(-2). Let t(q) be the first derivative of -i*q**2 + 9*q**4 + 0*q + 19 - 28/3*q**3. Solve t(z) = 0.
-2/9, 0, 1
Let g be 18*1 + (192 - 210). Let m(u) be the second derivative of 1/2*u**4 + g - 4*u**2 + 0*u**3 + 31*u - 1/10*u**5. Factor m(l).
-2*(l - 2)**2*(l + 1)
Let x = -53 + 57. Let c(d) = 16*d**2 - 8. Let v(a) = a**3 - 34*a**2 + 18. Let o(h) = x*v(h) + 9*c(h). Factor o(w).
4*w**2*(w + 2)
Let g(y) be the second derivative of y**6/285 - 28*y**5/95 - y**4/2 - 25*y - 40. Find v such that g(v) = 0.
-1, 0, 57
Let j(p) = -683*p + 197390. Let a be j(289). Suppose -8/3*k**5 + 0 - 200/3*k**2 + 20/3*k**a + 16*k + 50/3*k**4 = 0. What is k?
-2, 0, 1/4, 2, 6
Determine j so that -1/5*j**5 + 324/5*j**3 - 48/5*j - 9/5*j**4 - 868/5*j**2 + 1152/5 = 0.
-24, -1, 2, 12
Let d(q) = -30*q - 85. Let l = -652 + 649. Let p be d(l). What is r in 4/13*r**3 - 2/13*r**p - 4/13 + 14/13*r - 16/13*r**2 + 4/13*r**4 = 0?
-2, 1
Suppose -15/2*m**4 + 0*m - 27/4*m**2 - 99/4*m**3 + 0 = 0. What is m?
-3, -3/10, 0
Suppose 3*v - 2 = -11. Let h = v + 5. Determine o, given that 7*o**2 - 8*o**3 + 2 - 1 + 1 - 12*o + 11*o**h = 0.
1/4, 1
Let z be ((-369)/(-246))/(18/48). Suppose -3/2*t**z + 0*t + 0*t**2 + t