90*n**3 + n**2 - 2*n - 4. Find x, given that y(x) = 0.
-174, -3, 1
Let o be (-128)/(-448) + 432/7. Suppose 220*n - o = 189*n. What is r in -20/3*r - 5 - 5/3*r**n = 0?
-3, -1
Let g(u) be the second derivative of u**6/10 + 1209*u**5/20 - 1215*u**4/4 + 1217*u**3/2 - 609*u**2 + 26*u + 29. Factor g(z).
3*(z - 1)**3*(z + 406)
Let t = 401 + -398. Suppose t*s + 6 = 0, -4*s + 36 - 44 = -5*v. Factor -70/3*j**3 + v - 4/3*j - 34/3*j**2.
-2*j*(5*j + 1)*(7*j + 2)/3
Let x(u) be the first derivative of -u**5/15 + 5*u**4/9 - 4*u**3/9 - 16*u**2/3 - 21*u + 31. Let r(m) be the first derivative of x(m). Factor r(y).
-4*(y - 4)*(y - 2)*(y + 1)/3
Let v be 363/(-18) + (-4)/(-48)*2. Let o = -17 - v. Factor 0*p**2 + o*p - 9 + 6*p - p**2 - 3*p.
-(p - 3)**2
Let l(h) = -31*h + 334. Let n be l(25). Let v be (-1183)/n - (-4)/(-36). Find y, given that -v + 3*y - 6/7*y**2 = 0.
3/2, 2
Suppose -34*q = -28*q - 168. Suppose 8*v + q = 44. Factor 4/15 - 2/15*t**v - 2/15*t.
-2*(t - 1)*(t + 2)/15
Suppose -3*d + 4*y + 180 = 0, -50*d - 109 = -52*d - y. Let z be 2/d - (-73)/292. Find q, given that 6/7*q - 6/7*q**2 + z*q**3 - 2/7 = 0.
1
Let a(x) be the third derivative of 2025/32*x**4 - 9/16*x**5 - 30375/8*x**3 + 1/480*x**6 + 23*x**2 + 0 + 0*x. Factor a(h).
(h - 45)**3/4
Suppose -43 - 29 = -36*v. Let t(x) be the third derivative of -2/75*x**5 + 0*x + 9*x**v - 1/20*x**4 + 6/5*x**3 + 0 + 1/300*x**6. Factor t(z).
2*(z - 3)**2*(z + 2)/5
Let t(c) be the third derivative of -c**7/1365 - 67*c**6/195 - 106*c**5/39 - 88*c**4/13 - 22*c**2 - 22*c. Factor t(w).
-2*w*(w + 2)**2*(w + 264)/13
Let y(g) be the first derivative of g**4/18 + 4*g**3/27 - 29*g**2/9 + 28*g/3 + 2316. Factor y(u).
2*(u - 3)*(u - 2)*(u + 7)/9
Let i(o) be the second derivative of 0*o**2 - 1/120*o**5 - 1/18*o**4 - 1/9*o**3 + 112*o + 1. Factor i(y).
-y*(y + 2)**2/6
Factor -13*r + 461 + 692*r - 5*r**2 - 65 - 285*r + 3*r**2.
-2*(r - 198)*(r + 1)
Let c(h) be the third derivative of -h**11/66528 + h**10/5040 - h**9/1008 + h**8/504 - 2*h**5 - 39*h**2. Let k(g) be the third derivative of c(g). Factor k(l).
-5*l**2*(l - 2)**3
Let z = -416 + 419. Let f(p) = -55*p**2 + 480*p - 980. Let o(g) = 8*g**2 - 68*g + 140. Let y(k) = z*f(k) + 20*o(k). Suppose y(a) = 0. Calculate a.
2, 14
Suppose 4/7*i**5 + 0 + 16/7*i**3 - 24/7*i**4 + 96/7*i**2 - 128/7*i = 0. What is i?
-2, 0, 2, 4
Suppose -12 = 2*c - 2*w, 30 = -5*c + 3*w + 20. What is r in -2/7*r**5 + 8/7*r**2 + 12/7 - 26/7*r - 4/7*r**c + 12/7*r**3 = 0?
-3, -2, 1
Let w(a) be the second derivative of 3*a**7/140 + 19*a**6/120 + a**5/5 - 5*a**4/8 - 8*a**3 - 10*a. Let d(p) be the second derivative of w(p). Factor d(u).
3*(u + 1)*(2*u + 5)*(3*u - 1)
Let d(b) = 18*b + 856 + 886 - 1668. Let l be d(-4). Find s, given that 2/9*s**3 - 8/9*s**l + 0 + 8/9*s = 0.
0, 2
Let v(q) = -3*q**2 - 291*q + 540. Let j(k) = -11*k**2 - 879*k + 1622. Let w(r) = -3*j(r) + 10*v(r). Factor w(f).
3*(f - 89)*(f - 2)
Let w be (22/77)/(108/1194). Let s = -19/7 + w. Let -4/9*c**2 + 0 + 0*c - 8/9*c**3 - s*c**4 = 0. What is c?
-1, 0
Let q(a) be the third derivative of 0 + 0*a - 1/7*a**4 - 10/21*a**3 + 142*a**2 - 1/105*a**5. Let q(g) = 0. Calculate g.
-5, -1
Factor 176/7 + 92/7*p + 2/7*p**2.
2*(p + 2)*(p + 44)/7
Let b(r) be the third derivative of r**3 + 0*r - 1/180*r**5 + 2*r**2 + 7/72*r**4 + 0. Factor b(y).
-(y - 9)*(y + 2)/3
Let v(n) be the third derivative of n**6/480 - 11*n**5/120 + 91*n**4/96 - 17*n**3/4 + 652*n**2. Factor v(d).
(d - 17)*(d - 3)*(d - 2)/4
Solve -s**4 - 4*s**4 + 40*s**3 + 600 + 1715906*s**2 - 1715451*s**2 + 1010*s = 0.
-4, -2, -1, 15
Let c(t) = -3*t**3 - 7*t. Let s(q) = -9*q**3 + 66*q**2 - 251*q - 306. Let v(p) = -2*c(p) + s(p). Factor v(n).
-3*(n - 17)*(n - 6)*(n + 1)
Solve 3/4*x**3 + 6 + 15/2*x**2 + 51/4*x = 0.
-8, -1
Let t = 10654014 - 7297997906/685. Let b = t + -8/137. Suppose 3/5*g**2 + b*g - 3 = 0. What is g?
-5, 1
Suppose 2*z - 2*k - 19 = z, 0 = 2*z + k - 33. Suppose -3*m = -4*h - 22, 5*h + 3 = -z. Find b such that -b**2 - 20 + 24 + 8*b + 5*b**m = 0.
-1
Let k(a) = 33*a**3 - 401*a**2 - 12106*a - 77026. Let v(m) = -37*m**3 + 399*m**2 + 12104*m + 77024. Let c(u) = -8*k(u) - 7*v(u). Solve c(y) = 0 for y.
-12, 107
Let h(l) = 309*l**4 + 987*l**3 + 486*l**2 - 996*l - 759. Let z(k) = -77*k**4 - 246*k**3 - 121*k**2 + 248*k + 190. Let n(a) = -2*h(a) - 9*z(a). Factor n(i).
3*(i - 1)*(i + 1)*(5*i + 8)**2
Let t(c) be the third derivative of -c**5/20 + 319*c**4/8 - 159*c**3 + 7*c**2 + 61*c + 1. Factor t(j).
-3*(j - 318)*(j - 1)
Determine x so that -36/5*x + 70 - 2/5*x**2 = 0.
-25, 7
Let g(a) be the second derivative of -25*a**5/8 + 2300*a**4/3 + 3695*a**3/3 + 740*a**2 + 5313*a. Factor g(u).
-5*(u - 148)*(5*u + 2)**2/2
Let f be 5*(-80)/(-225) + 2/9. Determine w, given that -10*w**f + 23*w**2 - 16*w**2 + 48 = 0.
-4, 4
Let y(o) be the third derivative of -1/75*o**5 - 1/300*o**6 + 0 + 0*o**3 - 1/60*o**4 + 0*o + 69*o**2. Factor y(v).
-2*v*(v + 1)**2/5
Let c(s) be the third derivative of 9/16*s**4 - 2*s - 59/280*s**7 + 0 - s**2 + 0*s**3 - 17/80*s**5 - 3/448*s**8 - 91/160*s**6. Suppose c(b) = 0. Calculate b.
-18, -1, 0, 1/3
Let f(o) be the second derivative of 4/7*o**3 + 1 - 7*o + 0*o**2 + 10/21*o**6 + 25/21*o**4 + 4/49*o**7 + 38/35*o**5. What is m in f(m) = 0?
-3/2, -1, -2/3, 0
Let a(t) = -t**2 - 1. Suppose 97 - 103 = -6*s. Let g(q) = -25*q**2 - 15*q - 80. Let j(u) = s*g(u) - 30*a(u). Factor j(d).
5*(d - 5)*(d + 2)
Factor -417/4*k + 1/4*k**2 + 415/2.
(k - 415)*(k - 2)/4
Let a(k) be the first derivative of -k**4/26 + 40*k**3/39 + k**2/13 - 40*k/13 - 685. Factor a(i).
-2*(i - 20)*(i - 1)*(i + 1)/13
Let b = 278 - 273. Let c(v) = -20*v**3 + 265*v**2 - 130*v - 105. Let a(i) = i**3 + 2*i - 1. Let u(q) = b*a(q) - c(q). Solve u(h) = 0.
-2/5, 1, 10
Let v(y) = -2*y**4 - 5*y**3 - 243*y**2 - 341*y + 581. Let w(t) = 2*t**4 + 3*t**3 + 121*t**2 + 171*t - 291. Let c(n) = 3*v(n) + 5*w(n). What is x in c(x) = 0?
-4, -3, 1, 6
Suppose 30*h - 9 = 27*h. Suppose 2*s - 7 + h = 0. What is i in -s*i**2 - 3*i**2 + 5*i + 4*i**2 = 0?
0, 5
Let i be 18*(-5 - (-846)/162). Let q(x) be the second derivative of 0 - 5/6*x**3 - 5/12*x**i + 0*x**2 - 25*x. Determine y, given that q(y) = 0.
-1, 0
Let w(i) be the second derivative of -i**5/90 + 2*i**4/27 + i**3/9 - 2*i**2 + 324*i + 2. Suppose w(r) = 0. What is r?
-2, 3
Let q(z) be the first derivative of -3*z**5/20 - 3*z**4/2 + 7*z**3/2 - 93*z + 87. Let o(x) be the first derivative of q(x). Factor o(y).
-3*y*(y - 1)*(y + 7)
Suppose -8*r = -2*r - 30. Let y**5 - 55*y**2 - 59*y**2 + 3*y**3 + 114*y**2 + 3*y**3 - r*y**4 = 0. What is y?
0, 2, 3
Let j(c) = 6*c**5 - 56*c**4 + 98*c**3 - 46*c**2 - 2. Let s(l) = 19*l**5 - 168*l**4 + 293*l**3 - 137*l**2 - 7. Let x(o) = -7*j(o) + 2*s(o). Solve x(u) = 0.
0, 1, 12
Let f(r) be the second derivative of 8/15*r**3 + 19 + 2/25*r**5 - 1/150*r**6 - 1/3*r**4 + r + 0*r**2. Factor f(y).
-y*(y - 4)*(y - 2)**2/5
Suppose -f + 3*x + 12 = 3, -5*f = -x - 17. Let m = -574 - -574. Determine i, given that -3*i**4 + 4*i**2 + m - 6*i**f + 0 - 7*i**2 = 0.
-1, 0
Let u(x) = -x**2 + x + 2. Let l(h) = h**2 + 33*h - 154. Let o(r) = l(r) + 2*u(r). Find t, given that o(t) = 0.
5, 30
Suppose -124*m = -127*m + 15. Let h(v) = -v**2 + 6*v + 12. Let c be h(7). Suppose -m*u - 9*u**2 + 4*u**2 + 10*u**2 - c*u = 0. What is u?
0, 2
Suppose 5*i - 2*r + 120 = 0, 0 = 2*i - 2*r + 48. Let z be 18/i + 111/12 + 4. Factor -1/2*f**2 - z + 5*f.
-(f - 5)**2/2
Suppose -112*c + 114*c - 3*q = -15, -36 = -5*c - 3*q. Determine k, given that -13/3*k + 2/3*k**2 + 1/3*k**c + 10/3 = 0.
-5, 1, 2
Let c(q) be the second derivative of 161*q**5/120 - q**4/36 - 161*q**3/9 + 2*q**2/3 - 4928*q - 2. Factor c(m).
(m - 2)*(m + 2)*(161*m - 2)/6
Let j = -3717 + 3748. Let z = -408 - -968. Factor -128 - j*c - 41*c + 3*c**2 + z.
3*(c - 12)**2
Let z(c) be the second derivative of 1/4*c**3 - 1/8*c**2 - 1/30*c**6 + 3/20*c**5 - 15 - 2*c - 13/48*c**4. Factor z(o).
-(o - 1)**2*(2*o - 1)**2/4
Suppose 2*l = 5*r + 19, 4*l + 4 = 15*r - 19*r. Factor -l + 3 + 6 + 0 - 7*z**2 + z**3 - z.
(z - 7)*(z - 1)*(z + 1)
Find x such that -224/11*x + 2/11*x**4 + 0 - 34/11*x**3 + 172/11*x**2 = 0.
0, 2, 7, 8
Suppose 0 = d + 3*r + 492 + 1377, -2*d = r + 3758. Let u be (76/d)/(4/(-36)). Find n, given that u*n**2 - 2/11*n**3 + 0 - 2/11*n = 0.
0, 1
Factor -62*a**3 + 373*a**2 + 208*