*(v - 823)*(5*v - 2)/17
Let u(g) be the second derivative of -g**4/54 - 55*g**3/27 + 56*g**2/9 - 2663*g. What is v in u(v) = 0?
-56, 1
Let i(u) be the second derivative of -u**5/20 + 395*u**4/6 - 156025*u**3/6 + 3*u - 1090. Let i(y) = 0. What is y?
0, 395
Let o(d) be the second derivative of d**6/1080 + 7*d**5/1080 + d**4/108 - 56*d**3/3 - 34*d. Let q(j) be the second derivative of o(j). Factor q(s).
(s + 2)*(3*s + 1)/9
Let i be (6 - 6)/(13 + -5 + -7). Let m(y) be the second derivative of 0 + 2/3*y**3 + 2/3*y**4 + 12*y + 1/5*y**5 + i*y**2. Factor m(n).
4*n*(n + 1)**2
Suppose 0 = -5*d - p + 250 + 634, -5*d + 890 = -5*p. Let t = d - 349/2. Factor 3/2*n**2 - 1/2*n**4 + 1/2*n**3 + 1 - t*n.
-(n - 1)**3*(n + 2)/2
Suppose -10827*h - 220*h**3 - 15093*h - 2641*h**2 - 69120 - 959*h**2 - 5*h**4 = 0. Calculate h.
-12, -8
Let l(v) be the first derivative of v**7/5460 - v**6/1170 + v**5/780 - 11*v**3/3 + 76. Let n(z) be the third derivative of l(z). Suppose n(f) = 0. What is f?
0, 1
Let j be 1/(15 + -15 + (-1)/(-4)). Suppose -15 = -17*i + 12*i. Determine y so that -1/4*y**j + 7/4*y**2 + 5/4*y - 5/4*y**i - 3/2 = 0.
-6, -1, 1
Suppose -8 = -2*x + 5*u, -2*u = -7*u. Solve x*v**3 + 4*v**2 - 38110 + 38110 - 8*v = 0.
-2, 0, 1
Let j(n) be the second derivative of -n**4/16 + 463*n**3/4 - 643107*n**2/8 + 5005*n. Factor j(i).
-3*(i - 463)**2/4
Let s(k) = k**4 + 2*k**3 - 148*k**2 - 204*k + 319. Let g(d) = 4*d**3 + d**2 + 1. Let w(l) = -5*g(l) - s(l). Suppose w(u) = 0. Calculate u.
-27, -2, 1, 6
Suppose -5005*f = -4992*f + 6 - 6. Factor -4/13*r**3 + 0 + 16/13*r**2 + f*r - 2/13*r**4.
-2*r**2*(r - 2)*(r + 4)/13
Let h(p) = -9*p**3 + 244*p**2 - 1297*p - 972. Let i(r) = 7*r**2 - r. Let w(v) = -h(v) + i(v). Let w(l) = 0. Calculate l.
-2/3, 9, 18
Let d(y) be the second derivative of 5*y**4/48 + 40*y**3/3 - 325*y**2/8 + 1652*y. Suppose d(o) = 0. What is o?
-65, 1
Suppose 3*n + n + 5*o = -33, -4*o = -5*n - 72. Let j be 4 + (n/9)/(4/(-174)). Let -36*k**3 - j*k + 24*k**3 - 68*k**2 - 32 - 18*k - 8*k = 0. Calculate k.
-4, -1, -2/3
Let j be ((-12)/(-21))/(40/(-420)) + 10. Let y(k) be the third derivative of 0*k - 1/90*k**5 + 1/36*k**j + 0 + 2/9*k**3 - 16*k**2. Solve y(b) = 0.
-1, 2
Let x(n) = 4*n**2 - 1132*n + 1152. Let s(q) = 4*q**2 - 1134*q + 1151. Let f(m) = 8*s(m) - 7*x(m). Factor f(h).
4*(h - 286)*(h - 1)
Let k(f) be the third derivative of f**6/360 - 367*f**5/90 + 16744*f**4/9 + 135424*f**3/9 + 2*f**2 + 2*f + 1859. Determine d, given that k(d) = 0.
-2, 368
Suppose 50/7 + 58/7*p + 8/7*p**2 = 0. What is p?
-25/4, -1
Let g be (-22)/(-11) + 7 + 125. Suppose -21*j + 176 = g. Find i such that 2/3*i**5 + 0*i + j*i**3 + 0 - 2/3*i**2 - 2*i**4 = 0.
0, 1
Suppose 1037 - 397 = 32*q. Factor -4*c**4 + 4*c**2 + q*c - 16*c**2 - 25*c**2 - 19*c**2 + 28*c**3 + 12*c**2.
-4*c*(c - 5)*(c - 1)**2
Let a be (4886/349)/((-28)/(-22)) - 4*2. Determine v, given that 0*v - 6/5*v**4 + 2*v**5 + 0 - 24/5*v**2 - 64/5*v**a = 0.
-2, -2/5, 0, 3
Let s be 26*(3 + 6/(-3)). Suppose -26*b = -15*b - 88. Let 2*q**4 + s*q**2 + b - 16*q + 3*q - 11*q - 12*q**3 = 0. What is q?
1, 2
Let k(a) be the first derivative of 81/4*a + 39/4*a**2 - 1/4*a**3 - 30. Factor k(p).
-3*(p - 27)*(p + 1)/4
Let k(x) = x**3 + 0 + x + 0*x + 0*x + 1. Let b(z) = -7*z**3 - 3*z**2 - 9*z + 1. Let p(r) = b(r) + 6*k(r). Let m(v) be the first derivative of p(v). Factor m(l).
-3*(l + 1)**2
Determine p so that -48*p - 4 - 9 - 5*p**2 + 13 + 8*p = 0.
-8, 0
Suppose 4*l = -4*c + 69 - 13, 5*l = 10. Let -1015*b - 72*b**2 + 1003*b - c*b**5 - 47*b**3 - 63*b**4 - 64*b**3 = 0. What is b?
-2, -1, -1/4, 0
Let g(j) = -j**3 - 5*j**2 - 24*j - 6. Let v(x) = -3*x - 1. Let t(i) = -g(i) + 6*v(i). Suppose t(r) = 0. Calculate r.
-3, -2, 0
Let h = 6185/3 + -2061. Let p(y) be the first derivative of 2*y**4 - 2*y**2 + 0*y**3 + 0*y**5 - h*y**6 + 14 + 0*y. Solve p(n) = 0 for n.
-1, 0, 1
Suppose 0 = 6*c - 1146 + 1194. Let g be c/7*(-1)/2. Factor 24/7*i**2 + 4/7 + g*i**4 + 16/7*i**3 + 16/7*i.
4*(i + 1)**4/7
Suppose x = -3*q + 137 - 123, -2*x - 5 = -5*q. Let z(c) be the first derivative of 0*c + x - 3/7*c**3 - 3/7*c**2 - 3/28*c**4. Suppose z(f) = 0. What is f?
-2, -1, 0
Let q(d) = 7*d**2 + 673*d + 752. Let m(k) = 120*k**2 + 11440*k + 12825. Let w(u) = 2*m(u) - 35*q(u). Factor w(y).
-5*(y + 1)*(y + 134)
Let r = -223/4 + 56. Let f be (-1036 - -1037)/((-1)/(-2)*1). Determine w, given that 3/2 + r*w**f - 5/4*w = 0.
2, 3
Suppose -4*o = -2*w - 2, -3050*o + 4*w - 8 = -3048*o. Find d such that -2 - 1/3*d**3 - 2*d**o - 11/3*d = 0.
-3, -2, -1
Let u be 0 - 0 - -2 - 0. Let f be 100/36 - (-16)/72. Factor d**f + 11*d**2 - 6*d**2 - 2*d**u.
d**2*(d + 3)
Let d(x) = 735*x**2 + 618*x + 135. Let f = -89 + 42. Let z = f + 59. Let q(r) = 294*r**2 + 247*r + 54. Let a(p) = z*q(p) - 5*d(p). Determine m so that a(m) = 0.
-3/7
Let m(c) be the second derivative of 2 - 2*c**2 - 7/9*c**3 + 1/18*c**5 + 1/54*c**4 + 1/135*c**6 + 11*c. Let m(j) = 0. What is j?
-3, -1, 2
Let i(p) be the second derivative of 8*p + 1/42*p**3 - 1/420*p**5 + 0 + 27/2*p**2 + 0*p**4. Let g(t) be the first derivative of i(t). Solve g(f) = 0 for f.
-1, 1
Let c(b) be the first derivative of b**6/24 - 11*b**5/24 + 5*b**4/4 - 59*b**3/3 + b + 100. Let x(f) be the third derivative of c(f). Factor x(n).
5*(n - 3)*(3*n - 2)
Let v be (6 + 91/(-14))/((-2)/8). Factor 310 + 77*g**2 - 315*g - 138*g**2 + 66*g**v.
5*(g - 62)*(g - 1)
Let d(a) be the first derivative of -3*a**5/35 - 36*a**4/7 + 151*a**3/7 - 153*a**2/7 + 1282. Determine t so that d(t) = 0.
-51, 0, 1, 2
Let o(z) be the third derivative of 0*z**3 + 3*z**2 + 1/10*z**5 - 17 + 0*z - 1/5*z**4 - 3/200*z**6. Determine y so that o(y) = 0.
0, 4/3, 2
Let x(s) = 3*s**4 + s**3 - s**2 + 2*s. Let q(t) = -49*t**4 + 397*t**3 - 577*t**2 + 268*t - 48. Let b(y) = 2*q(y) + 22*x(y). Factor b(h).
-4*(h - 24)*(2*h - 1)**3
Suppose -6*z + z + 5009 = 3*l, z - 2*l - 994 = 0. Solve 1439*x**2 + z - 3*x**5 - 469*x**2 + 38*x**4 - 1600*x + x**5 - 307*x**3 + 29*x**3 = 0.
2, 5
Let n(y) be the second derivative of y**6/15 - 62*y**5/5 + 120*y**4 - 1424*y**3/3 + 944*y**2 - 2591*y. Find x, given that n(x) = 0.
2, 118
Factor -33/7*g + 18/7*g**2 + 18/7 - 3/7*g**3.
-3*(g - 3)*(g - 2)*(g - 1)/7
Let l(s) = 2*s**3 + 5*s**2 - s + 126. Let p be l(-5). Suppose -2/7*i**2 - p + 20/7*i = 0. What is i?
3, 7
Let w = 28212/24661 + -4/3523. Let l(x) be the first derivative of 20 + 5/7*x**2 - w*x - 2/21*x**3. What is u in l(u) = 0?
1, 4
Let c(n) be the second derivative of -n**4/12 - 27*n**3/2 - 40*n**2 + 873*n. Factor c(t).
-(t + 1)*(t + 80)
Let x = -45 - -72. Factor x - 77 - 2*r**2 + 25 + 29 + 6*r**3 - 2*r**4 - 6*r.
-2*(r - 2)*(r - 1)**2*(r + 1)
Let p(t) = -3*t**2 + 192*t + 12917. Let m be p(105). Suppose 2/7*z - 4/21 - 2/21*z**m = 0. What is z?
1, 2
Let k(s) = -2*s**2 + 93*s - 44. Let b be k(46). Suppose -2*h + h + f = -3, 0 = -3*h - 3*f + 15. Let -18*n**2 + 12*n**b + 10*n**2 + h*n = 0. Calculate n.
-1, 0
Factor -28/9*v**2 - 2/9*v**5 + 0 + 6*v**3 + 0*v - 8/3*v**4.
-2*v**2*(v - 1)**2*(v + 14)/9
Factor 48446 - 52*d**2 + 21250 - 528*d - 63*d**2 + 116*d**2.
(d - 264)**2
Solve 172/7*l**3 + 2/7*l**5 + 90/7*l**4 + 0*l**2 + 0 + 0*l = 0.
-43, -2, 0
Suppose 64 + 33*g + 1/2*g**2 = 0. Calculate g.
-64, -2
Suppose 5*i = -3*l + 1 - 9, -12 = -l + 2*i. Solve 42*b**3 - 26*b + 72*b**2 + 49*b**4 + 26*b - 46*b**l = 0 for b.
-12, -2, 0
Let z be 234/351*(2/4*8 - -2). Suppose 21/2*c**2 - 3/4*c**z + 0 + 15/4*c**3 + 0*c = 0. What is c?
-2, 0, 7
Suppose 14*y - 224 = -2*y. Suppose y = 2*n - 22. Find g such that 21*g**2 - 3*g**4 + 9*g**3 - 12*g**2 - n*g**2 + 3*g = 0.
0, 1
Let s(o) = -4*o**2 + 5*o + 2. Let b(z) = -z. Let u(y) = -4*b(y) - s(y). Let d be u(-1). Let 4*v**4 - 7*v**4 + 6*v**4 + 3*v**d = 0. What is v?
-1, 0
Let l(u) be the first derivative of -15*u**2 + 29 + 5/3*u**3 - 35*u. Factor l(i).
5*(i - 7)*(i + 1)
Let q(w) be the second derivative of -25/3*w**3 + 145/12*w**4 + 0 + 3/4*w**5 - 88*w + 0*w**2. Factor q(f).
5*f*(f + 10)*(3*f - 1)
Let a = -207443/396 + 18865/36. Solve 100/11*k**2 - 70/11*k - 60/11*k**3 + a*k**5 + 10/11*k**4 + 18/11 = 0.
-9, 1
Solve -8*k**5 - 1274*k + 3586*k + 3459*k**3 + 728*k**4 + 23*k**5 + 7242*k**2 - 1212*k**4 = 0 for k.
-4/3, -2/5, 0, 17
Let v be 6/32 - 154/1056. Let h(c) be the second derivative of 1/80*c**5 + 6 - v*c**3 - 2*c + 1/4*c**2