late x.
-16, 0, 6
Let k(c) be the second derivative of 2*c**7/21 + 14*c**6/5 + 134*c**5/5 + 74*c**4 - 90*c**3 - 486*c**2 - 69*c - 1. Determine f, given that k(f) = 0.
-9, -3, -1, 1
Suppose 201 = 160*v - 26 - 93. Factor -2/13*i**v + 6/13*i + 0.
-2*i*(i - 3)/13
Let u(f) = f**2. Let p(k) = -42*k + 1022. Let q(n) = n + 3. Let t(h) = 5*p(h) - 70*q(h). Let c(s) = -t(s) - 4*u(s). Factor c(y).
-4*(y - 35)**2
Let q(d) = -15*d**3 - 7*d**2 + 5*d + 16. Let k be q(4). Let x = 1038 + k. Factor 0 + 4/3*s**x + 4/3*s.
4*s*(s + 1)/3
Let p(k) be the first derivative of 9*k**5 + 795*k**4/2 + 13505*k**3/3 - 4770*k**2 + 1620*k - 1132. Factor p(h).
5*(h + 18)**2*(3*h - 1)**2
Let v be 11/99 - (-78)/27. Determine q so that q**2 + q**2 + 116*q**v - 116*q**3 - 2*q**4 = 0.
-1, 0, 1
Determine h, given that 88*h**2 - 18*h**4 + 280*h + 14*h**4 + 68*h**2 = 0.
-5, -2, 0, 7
Let a(u) = 168*u + 1685. Let c be a(-10). Let k(w) be the second derivative of 0 - 15*w + 2*w**3 + c*w**2 + 1/6*w**4. Factor k(g).
2*(g + 1)*(g + 5)
Let m be 6934/70 + (-216)/252. Let l = m - 967/10. What is s in -3*s - l*s**2 + 9/2 = 0?
-3, 1
Let x(s) be the third derivative of s**5/30 + 56*s**4/3 + 12544*s**3/3 - 527*s**2. Factor x(j).
2*(j + 112)**2
Let m(q) be the first derivative of -1/10*q**4 + 8/15*q**3 - 8/5*q + 1/5*q**2 - 29. Determine t so that m(t) = 0.
-1, 1, 4
Let k(c) be the first derivative of c**5/15 - c**4 + 29*c**3/9 - 3*c**2 + 4184. Factor k(l).
l*(l - 9)*(l - 2)*(l - 1)/3
Find v such that 182/3*v + 8*v**4 + 68*v**2 + 2/3*v**5 + 104/3*v**3 + 20 = 0.
-5, -3, -2, -1
Factor 3/2*v - 3/2*v**3 - 57/2 + 57/2*v**2.
-3*(v - 19)*(v - 1)*(v + 1)/2
Let r(n) = 55*n**2 - 11*n + 1. Let g be r(1). Suppose -4*t = -74 - 270. Factor g + 41 - 4*k**2 - t - 8*k.
-4*k*(k + 2)
Let y be (-14)/(-6) - (3 - 16/6). Let v(q) = q**y - q - 1649 + 1649. Let c(h) = 10*h**2 - 5*h. Let x(k) = 4*c(k) - 44*v(k). Let x(g) = 0. Calculate g.
0, 6
Let i(h) be the first derivative of -2*h**3/3 - 24*h**2 + 594*h - 1741. Factor i(w).
-2*(w - 9)*(w + 33)
Let m(p) be the second derivative of p**4/9 - 236*p**3/3 + 1408*p**2/3 - 104*p + 3. Factor m(g).
4*(g - 352)*(g - 2)/3
Let x(n) be the third derivative of n**8/336 - n**7/70 - 13*n**6/60 - 3*n**5/10 + 25*n**4/24 + 7*n**3/2 + 141*n**2. Let x(z) = 0. What is z?
-3, -1, 1, 7
Determine z so that 698*z - 239*z + 3 + 1 - 633*z**2 + 1801*z**2 - 1051*z = 0.
1/146, 1/2
Let d be (-585)/(-450) - (5 - 0 - 3*30/20). Factor -8/5*f**2 + 6/5 + 4/5*f**3 + 2/5*f**4 - d*f.
2*(f - 1)**2*(f + 1)*(f + 3)/5
Let h(l) be the first derivative of -l**6/40 + 9*l**5/20 - l**4 - 5*l**2/2 - 38. Let z(x) be the second derivative of h(x). Factor z(f).
-3*f*(f - 8)*(f - 1)
Let m = 4/61133 - -122238/427931. Factor 24/7*c + m*c**2 - 26/7.
2*(c - 1)*(c + 13)/7
Suppose 21*u = -17 + 206. Find j such that -4*j**2 + 3*j - 2*j**3 + u - j**5 - 7*j**2 - 3*j**2 + 6*j**4 - j**4 = 0.
-1, 1, 3
Suppose -m = 554 - 556. Suppose -m*a = -3*a - 5*s + 2, 1 = -s. Factor a*t**2 + 4/7 - 4*t.
(7*t - 2)**2/7
Let i(m) be the second derivative of m**9/6048 + m**8/3360 - m**7/840 + 11*m**3/6 - 95*m. Let y(b) be the second derivative of i(b). What is j in y(j) = 0?
-2, 0, 1
Let t = -215/4 + 55. Let z be (55 - 56) + -2 + (-22)/(-4). Factor 5/4*d - z*d**2 + 0 + t*d**3.
5*d*(d - 1)**2/4
Let o(k) be the first derivative of -k**3/3 + 41*k**2/2 - 114*k - 2232. Factor o(v).
-(v - 38)*(v - 3)
Let i(q) be the third derivative of 0*q**3 + 1/60*q**5 + 1/1680*q**8 + 0*q - 1/60*q**4 - 66*q**2 - 1/200*q**6 - 1/1050*q**7 + 0. Let i(y) = 0. Calculate y.
-2, 0, 1
Let g = -34497 + 34526. Let q(t) be the first derivative of -16/7*t**2 - g + 64/7*t + 4/21*t**3. Let q(n) = 0. What is n?
4
Let x(d) = d**2 - 3*d - 3. Let n be x(5). Suppose 0 = n*c - 17 - 11. Factor -8*u - 12 - c*u**2 + 3*u + 21*u.
-4*(u - 3)*(u - 1)
Let b(s) = -s**3 - 451*s**2 + 1950*s + 2375. Let v(g) = 225*g**2 - 975*g - 1185. Let d(y) = 3*b(y) + 5*v(y). Factor d(t).
-3*(t - 5)*(t + 1)*(t + 80)
Let i(y) be the first derivative of -2*y**3/3 - 79*y**2 - 308*y - 1716. Find o, given that i(o) = 0.
-77, -2
Let -2/5*k**5 - 704/15*k**3 + 0 + 56/3*k**4 + 0*k**2 + 0*k = 0. Calculate k.
0, 8/3, 44
Factor -114/5*o**4 + 0 + 0*o - 118/5*o**2 + 234/5*o**3 - 2/5*o**5.
-2*o**2*(o - 1)**2*(o + 59)/5
Let t(b) = 6*b**2 + 2*b + 5. Let n(x) = -x**2 - 1. Let o = -50 - -25. Let l(g) = g + 26. Let z be l(o). Let h(q) = z*t(q) + 5*n(q). Factor h(j).
j*(j + 2)
Let j be (1456/24)/14 + 4/6. Suppose -4*p + 2 + 14 = 4*w, j*p = 4*w + 2. Factor -10/11*u - 12/11 + 2/11*u**w.
2*(u - 6)*(u + 1)/11
Let h = -47 + 49. Suppose -h*j = 39 - 43. Factor -4*a**2 + 0*a**3 + 15*a - 428 + a**3 + 453 - 5*a**j.
(a - 5)**2*(a + 1)
Suppose -42*g + 1560 = -39*g. Solve -262*a**2 + 10*a + g*a**2 - 256*a**2 + 12 = 0.
-3, -2
Suppose 2*v = -5*u, 14*u + 3*v = 10*u - 7. Suppose 4*m = -t + u, -34*t + 3*m = -37*t + 6. Factor 2/13*k**t + 128/13 + 32/13*k.
2*(k + 8)**2/13
Let b(y) be the first derivative of -y**3 - 357*y**2/2 - 150. Solve b(u) = 0.
-119, 0
Let o(b) be the first derivative of -b**5/45 - 2203*b**4/36 - 179830*b**3/3 - 198531586*b**2/9 - 395446904*b/9 - 8647. Factor o(x).
-(x + 1)*(x + 734)**3/9
Let w = -30027/55 - -6045/11. Factor -3*o + w - 3/5*o**2.
-3*(o - 1)*(o + 6)/5
Let h(d) be the second derivative of -2*d**6/105 + 32*d**5/35 - 122*d**4/7 + 3520*d**3/21 - 6050*d**2/7 - 18*d + 30. Let h(j) = 0. Calculate j.
5, 11
Let j be 3*(3 + -5 - -3). Determine l, given that 51 + 20*l**2 - 11*l - 4*l - 51 + 3*l**j - 8*l**3 = 0.
0, 1, 3
Let w be (-168)/224*2*16/(-6). Suppose 0 = -3*i - 3*s + 20 - 8, -5*i + 18 = 3*s. Factor 5 + w + k**3 - 3*k**3 - k**i - 9*k**2 + 3*k.
-3*(k - 1)*(k + 1)*(k + 3)
Let w(j) be the third derivative of -j**6/120 + 19*j**5/60 - 17*j**4/12 - 5*j**2 + 10*j. Suppose w(m) = 0. What is m?
0, 2, 17
Let r(h) be the first derivative of -h**3 + 2*h**2 - 9 - 1/60*h**6 + 3/40*h**5 + 6*h + 1/12*h**4. Let z(t) be the first derivative of r(t). Factor z(g).
-(g - 2)**2*(g - 1)*(g + 2)/2
Let h = -865/7 - -7151/56. Let 0 + 105/8*a**2 - 75/8*a + 3/8*a**4 - h*a**3 = 0. What is a?
0, 1, 5
Let g(x) = 13*x**2 - 329*x - 2118. Let s(q) = -4*q**2 + 2*q - 6. Let t(c) = g(c) + 2*s(c). Factor t(d).
5*(d - 71)*(d + 6)
Let r(x) be the second derivative of -3*x**4/2 + 14*x**3/3 + 8*x**2 + 6346*x. Determine z, given that r(z) = 0.
-4/9, 2
Let s(r) be the first derivative of 5/3*r**3 + 59 + 10*r + 15/2*r**2. Factor s(b).
5*(b + 1)*(b + 2)
Let d(v) be the third derivative of -3*v**8/112 + v**7/14 - v**6/40 - v**5/20 - 2244*v**2. Factor d(r).
-3*r**2*(r - 1)**2*(3*r + 1)
Let v(t) = 123*t + 1203. Let c(b) = -b**2 + 124*b + 1204. Let n = 72 + -75. Let f(a) = n*c(a) + 4*v(a). Suppose f(k) = 0. Calculate k.
-20
Let t be 6/41 + (-17441)/(-30709). Let 163/7*u + t*u**2 - 66/7 = 0. Calculate u.
-33, 2/5
Let l(f) be the third derivative of f**7/560 + f**6/240 + 11*f**3/6 - 21*f**2 - 3. Let c(n) be the first derivative of l(n). Factor c(t).
3*t**2*(t + 1)/2
Let l be 1 + 4 - (-14 - -16). Suppose -104 = -l*o + 43. Factor -2*n**4 + 19*n**3 - o*n**3 + 30*n + 5*n**2 - 3*n**4.
-5*n*(n - 1)*(n + 1)*(n + 6)
Let k(f) = -2*f**2 - 4*f + 1. Let p be k(-1). Factor 15*q + 0*q - 3*q**4 - 30*q**3 + 39*q**p + 27*q**2.
-3*q*(q - 5)*(q + 1)**2
Let n be (-7)/42*(-4 - (3 - 3)). Let j = 10/13 + -17/39. Determine d so that 0 - j*d**3 + d**2 - n*d = 0.
0, 1, 2
Let y(h) = -39*h**3 - 150*h**2 + 3*h + 60. Let o(a) = 11*a**3 + 42*a**2 - a - 17. Let w(x) = -18*o(x) - 5*y(x). Suppose w(z) = 0. What is z?
-2, -1, 1
Let u(y) = y**2 - 9*y - y + 38 + 0*y**2 - 46. Let a be u(11). Let 6 + 9*v**2 - 27*v + 6*v**3 + 7*v**3 - v**a = 0. What is v?
-2, 1/4, 1
Let y = 78 - 102. Let u be y/(-51)*30/20. Find i such that -16/17 - 2/17*i**4 + 2/17*i**3 + u*i**2 - 8/17*i = 0.
-2, -1, 2
Factor 119*b + 115*b + 972 - 2*b**3 + 432*b + 120*b**2 + 4*b**3.
2*(b + 3)**2*(b + 54)
Let f(c) be the first derivative of 9*c**4/7 - 62*c**3/7 + 12*c**2/7 + 30*c/7 + 873. Find j, given that f(j) = 0.
-1/3, 1/2, 5
Let z(g) be the first derivative of 0*g + 2/3*g**3 + 1/2*g**4 + 0*g**2 + 69. Factor z(y).
2*y**2*(y + 1)
Let p(s) be the first derivative of 0*s**4 + 11*s + 2/5*s**5 - 19 + 0*s**3 + 2/15*s**6 + 0*s**2. Let w(t) be the first derivative of p(t). Factor w(v).
4*v**3*(v + 2)
Let q(p) be the second derivative of p**4/108 - 13*p**