2 - 10*u**2 - 27*u**2 - 75*u + 35*u**3 = 0.
-1, 0, 3, 5
Let t(r) be the second derivative of 1/3*r**3 - 5/18*r**4 - r + 2/3*r**2 + 0. Factor t(x).
-2*(x - 1)*(5*x + 2)/3
Factor x**4 + 46*x**3 + 12*x**2 + 2*x**4 - 36*x**2 - x**4 + 50*x - 74*x**2.
2*x*(x - 1)**2*(x + 25)
Let b = -467 - -471. Let t(f) be the second derivative of -8*f + 0 + 1/4*f**b + 0*f**2 - 3/40*f**5 - 1/4*f**3. Find x, given that t(x) = 0.
0, 1
Let y = -48/11 - -454/99. Let z = 6142/9 - 682. Suppose y*x - z + 2/9*x**2 = 0. What is x?
-2, 1
Solve -15/2*m + 1/4*m**2 + 225/4 = 0.
15
Let p(c) be the first derivative of 1/6*c**3 + 9/2*c - 3/2*c**2 + 6. Factor p(r).
(r - 3)**2/2
Determine c so that 94*c - 17271 + 2*c**2 + 17271 = 0.
-47, 0
Determine a so that 2 - 18*a**3 + 8*a**3 - 4*a**5 + 10*a**4 - 8*a**2 - 4*a**4 + 14*a**3 = 0.
-1, -1/2, 1
Solve 3*v**2 - 99*v + 26*v + 3*v**3 + 55*v = 0 for v.
-3, 0, 2
Let w(i) = i**2 + 23*i + 128. Let m be w(-14). Factor -4/7*u**m + 0 + 2/7*u**3 + 2/7*u.
2*u*(u - 1)**2/7
Let b be (-4)/(-16)*(-2 + 6 - 24/8). Factor 0 - 3/4*x**3 + 2*x - x**4 + b*x**5 + 5/2*x**2.
x*(x - 4)*(x - 2)*(x + 1)**2/4
Let a(s) be the third derivative of s**7/14 + s**6/6 + s**5/12 - 97*s**2. Let a(p) = 0. Calculate p.
-1, -1/3, 0
Let l = 2702 + -5365/2. Let 57/4*n**4 - l*n**3 - 3/4*n - 3/4 - 15/4*n**5 + 21/2*n**2 = 0. What is n?
-1/5, 1
Let y(a) be the first derivative of 0*a - 10/3*a**3 - 15/4*a**4 + 0*a**2 + 18 - a**5. Factor y(c).
-5*c**2*(c + 1)*(c + 2)
Let w = -270 - -278. Let o be w/(-68) - 3/(255/(-10)). What is z in 4/7*z**2 + o - 8/7*z + 4/7*z**3 = 0?
-2, 0, 1
Let g(b) be the first derivative of -1/8*b**4 - 14 + 0*b - 3/4*b**2 + 2/3*b**3. Determine l so that g(l) = 0.
0, 1, 3
Let k(x) be the first derivative of x**4/18 + x**3/3 - 8*x - 11. Let w(q) be the first derivative of k(q). Find u, given that w(u) = 0.
-3, 0
Let -8/9*r**2 + 0*r - 8/9*r**3 - 2/9*r**4 + 0 = 0. Calculate r.
-2, 0
Let y(h) be the third derivative of h**8/1848 - h**7/165 + h**6/44 - 3*h**5/110 + 685*h**2. What is s in y(s) = 0?
0, 1, 3
Let n = 358 + -356. Let h(g) be the first derivative of -1/3*g**3 + 0*g + 5 + 1/2*g**n. Solve h(l) = 0 for l.
0, 1
Let y(i) be the first derivative of i**3/5 - 9*i**2/2 - 48*i/5 + 394. Factor y(s).
3*(s - 16)*(s + 1)/5
Factor -6*x**3 + 0 - 2/5*x**5 - 14/5*x**2 + 0*x - 18/5*x**4.
-2*x**2*(x + 1)**2*(x + 7)/5
Let l(k) = -44*k**2 + 2*k + 7. Let a be (21/35)/(2/(-10)). Let d(f) = 2*f**2 - f - 1. Let s(x) = a*d(x) + l(x). Solve s(j) = 0.
-2/5, 1/2
Let r(g) be the first derivative of g**5/75 - g**4/15 + 2*g**3/15 - 5*g**2 + 5. Let a(n) be the second derivative of r(n). Let a(u) = 0. What is u?
1
Let q = -689/450 - -29/18. Let u(z) be the first derivative of -2/15*z**3 + 0*z**2 - 8 + 1/10*z**4 + 0*z + q*z**5 - 1/15*z**6. Find f such that u(f) = 0.
-1, 0, 1
Let v be ((-2)/(-5))/(1/10). Suppose 0 = 5*b + v - 24. Suppose -16*h + 27*h**b - 50*h**2 + 8 + 14*h**4 + h**4 + 16*h**3 = 0. Calculate h.
-1, -2/3, 2/7, 1
Let x = -71 - -74. Suppose 5 = x*k - 2*k. What is c in 0*c**3 + 0*c - 2/5*c**4 + 0*c**2 + 2/5*c**k + 0 = 0?
0, 1
Suppose -v + 5*s = -2 + 7, -4*v = -5*s - 25. Let j be (-5)/v*0/(-2). Suppose -2/3*g + j - 5/3*g**2 + g**3 = 0. What is g?
-1/3, 0, 2
Let q(o) be the second derivative of o**5/20 + o**4/3 + 5*o**3/6 + 3*o**2 + 21*o. Let u be q(-3). Solve 0*v**2 + 3/2*v**4 + u*v + 0 + 1/2*v**3 - 2*v**5 = 0.
-1/4, 0, 1
Let v(q) be the second derivative of -6*q**2 - 5/3*q**4 - 2*q + 0 + 14/3*q**3 + 1/5*q**5. Factor v(t).
4*(t - 3)*(t - 1)**2
Solve 27*o + 71*o - 63*o**3 + 39*o**2 - 86*o**2 - 82*o**2 - 16 = 0 for o.
-8/3, 2/7, 1/3
Let d(r) = 9*r**2 + r + 2. Let m be d(-1). Factor -2*t**3 + 4*t**2 - 4*t**2 - 2*t**2 + m*t - 6 + 0.
-2*(t - 1)**2*(t + 3)
Let 0 - 3/5*x**3 - 4/5*x**2 + 4/5*x = 0. Calculate x.
-2, 0, 2/3
Let w(c) be the second derivative of c**7/42 - c**6/15 - c**5/4 + c**4/2 - 5*c + 6. What is y in w(y) = 0?
-2, 0, 1, 3
Let q(s) be the second derivative of -s**6/45 - 4*s**5/5 - 11*s**4 - 72*s**3 - 243*s**2 + 3*s + 5. Factor q(u).
-2*(u + 3)**2*(u + 9)**2/3
Let k(b) = 2*b**3 - 6*b**2 + b - 3. Let f(r) = -5*r**3 + 14*r**2 - 2*r + 7. Let g(p) = -6*f(p) - 14*k(p). Suppose g(y) = 0. What is y?
-1, 0, 1
Suppose 4*p = -33 - 3. Let o(s) = -2*s**2 - 4*s - 6. Let n(l) = 8*l**2 + 15*l + 25. Let k(j) = p*o(j) - 2*n(j). Factor k(r).
2*(r + 1)*(r + 2)
Suppose 2*x - 16 = -2*s, 3*s = 3*x + 19 - 7. Factor 0*f**4 - 6*f**4 - 3*f**3 + 12*f**2 - 7*f - s*f**3 + 3*f**5 + 19*f.
3*f*(f - 2)**2*(f + 1)**2
Let x = 31/48 - -1/48. Let a = -55 - -57. What is m in 0 - x*m**a - 2/3*m = 0?
-1, 0
Suppose 2*o - 19 = -4*z + 283, -4*o = -z + 98. Let y be z/(-36) + 2 - (-5)/12. Factor -y*k**2 + 1/4*k + 0.
-k*(k - 1)/4
Let x(a) be the second derivative of 0*a**3 + 1/15*a**5 + 0 + 2/9*a**4 + 0*a**2 - 2/45*a**6 + 8*a. What is r in x(r) = 0?
-1, 0, 2
Factor 27/2*o + 3/2*o**2 + 30.
3*(o + 4)*(o + 5)/2
Suppose -40/3*r**2 + 5/3*r**4 - 40/3*r**3 + 80/3*r + 80/3 + 5/3*r**5 = 0. Calculate r.
-2, -1, 2
Let j(r) be the third derivative of r**8/840 + r**7/420 - r**6/90 - 3*r**3 + 36*r**2. Let w(m) be the first derivative of j(m). Factor w(b).
2*b**2*(b - 1)*(b + 2)
Determine h so that 11/3*h + 10 + 1/3*h**2 = 0.
-6, -5
Let x(a) be the second derivative of 0*a**2 - 1/15*a**3 + 1/10*a**4 - 2*a - 3/50*a**5 + 0 + 1/75*a**6. Solve x(z) = 0.
0, 1
Factor 3*y**2 - 5 - 17 - 29 + 50*y + 0 - 2*y**2.
(y - 1)*(y + 51)
Let g(q) = q - q**2 - q - 2*q - q. Let t(f) be the second derivative of 5*f**4/12 + 8*f**3/3 - 5*f. Let i(l) = 11*g(l) + 2*t(l). What is v in i(v) = 0?
-1, 0
Let m(k) = 5*k**2 - 13 + 29*k + 28 + 2. Let s(d) = -3*d**2 - 19*d - 11. Let a(q) = -5*m(q) - 7*s(q). Factor a(r).
-4*(r + 1)*(r + 2)
Suppose 3*y - 7 = 2. Suppose 9*a + 12*a**2 - a + a**3 - 6*a**3 + 9*a**y = 0. What is a?
-2, -1, 0
Let b(o) be the first derivative of o**3/7 - 6*o**2/7 + 526. Let b(k) = 0. What is k?
0, 4
Suppose 0 = -24*k + 22*k + 4. Suppose 2*u + 4*g = 12, -u + k + 2 = g. Factor -1/2*o - 1/2*o**u + 0.
-o*(o + 1)/2
Let i(p) be the third derivative of -1/504*p**8 + 0*p**3 + 4/315*p**7 + 0*p - 1/36*p**4 + 2/45*p**5 + 0 - 1/30*p**6 + 12*p**2. Find c such that i(c) = 0.
0, 1
Let m be 3 - (-7)/(-3) - (-104)/78. Find r, given that 2/15 + 2/15*r**m + 4/15*r = 0.
-1
Factor 26*j**4 - 118 + 96*j**3 + 2*j**5 + 118 - 50*j**2 + 122*j**2.
2*j**2*(j + 1)*(j + 6)**2
Let c(z) = -240*z**3 - 729*z**2 - 570*z - 81. Let t(l) = 24*l**3 + 73*l**2 + 57*l + 8. Let q(n) = -2*c(n) - 21*t(n). Solve q(x) = 0.
-2, -1, -1/8
Let p be 1/(-1)*(6 + 672/(-108)). Factor -2/9*f**4 + 0 + 2/9*f**2 - 2/9*f + p*f**3.
-2*f*(f - 1)**2*(f + 1)/9
Let f(n) be the first derivative of -2*n**6/3 - 12*n**5/5 - 3*n**4 - 4*n**3/3 + 154. Determine p so that f(p) = 0.
-1, 0
Let m(b) be the second derivative of 5/14*b**7 + 63/20*b**5 + 11/4*b**4 + 0*b**2 + 0 + 17/10*b**6 + b**3 + 12*b. Solve m(f) = 0 for f.
-1, -2/5, 0
Suppose -15*h + 22*h + 19*h = 0. Let j(z) be the second derivative of 0 + 5*z + h*z**2 - 1/15*z**5 + 2/63*z**7 + 0*z**4 + 0*z**6 + 0*z**3. Factor j(t).
4*t**3*(t - 1)*(t + 1)/3
Let l(h) be the second derivative of -h**7/1260 + h**5/60 + h**4/18 + h**3/6 - 13*h**2/2 + 8*h - 2. Let b(n) be the second derivative of l(n). Solve b(q) = 0.
-1, 2
Factor -3*x**4 + 16*x - 648*x**2 + 72*x**3 + 847*x - 3888 + 1729*x.
-3*(x - 6)**4
Let u be 96/189 + (-12)/54. Factor -u*y - 2/7*y**2 + 2/7 + 2/7*y**3.
2*(y - 1)**2*(y + 1)/7
Let t(u) = -u**3 - 7*u**2 + 12*u + 34. Let m be t(-8). Factor -5/2*y**4 - 75/4*y**m + 45/4*y**3 - 15/4 + 55/4*y.
-5*(y - 1)**3*(2*y - 3)/4
Let y(k) be the third derivative of k**6/780 + k**5/195 - 7*k**4/156 + 4*k**3/39 - 31*k**2. Let y(s) = 0. Calculate s.
-4, 1
Factor 184/3*b + 8/3 + 1058/3*b**2.
2*(23*b + 2)**2/3
Let p = -19 + 21. Let q(o) = -4 + 0 + 5 - o - 2 + o**p. Let a(h) = -2*h**3 - h**2 - 11*h - 7. Let k(x) = a(x) - 5*q(x). Suppose k(m) = 0. What is m?
-1
Let s = -51454/3 - -17154. Suppose -h + 4*t = 2*h - 5, 3*t - 18 = -5*h. Find f, given that 10*f**2 + s + 7/3*f**h + 12*f = 0.
-2, -2/7
Let h(f) be the second derivative of -f**7/84 - f**6/30 + f**5/20 + f**4/6 - f**3/12 - f**2/2 - 7*f + 4. Solve h(t) = 0.
-2, -1, 1
Factor 20/3 + 14/3*o + 2/3*o**2.
2*(o + 2)*(o + 5)/3
Let y(z) be the first derivative of -2*z**3 + 1/2*z**4 + 3*z**2 + 8 - 2*z. Let y(b) = 0. What is b?
1