*3 + 5*h. Let u(p) = 0. Calculate p.
-1, 0
Suppose -46 - 40 = 11*d - 108. Suppose 13/2*n**3 - 2/3*n + 0 + 10/3*n**d = 0. What is n?
-2/3, 0, 2/13
Factor 36/11*a**3 - 14/11*a**4 + 26/11*a - 6/11 + 2/11*a**5 - 4*a**2.
2*(a - 3)*(a - 1)**4/11
Suppose -t - o - 109 = -6*t, -3*t - 2*o + 68 = 0. Let v be (-4 - 17/(-4)) + t/8. Determine q so that 7/2*q**v - 1 + 6*q - 39/4*q**2 = 0.
2/7, 1/2, 2
Let i be ((-9)/6 + 1)/((-9)/1746). Let h = -95 + i. Factor 4/3 + 1/3*m**h + 4/3*m.
(m + 2)**2/3
Let n(t) be the first derivative of t**3 + 54*t**2 - 228*t - 635. Factor n(s).
3*(s - 2)*(s + 38)
Let u = 29 + -27. Let t(h) be the first derivative of 3*h**2 + 1/2*h**4 + 5 + u*h**3 + 2*h. Factor t(g).
2*(g + 1)**3
Factor 4*c**3 - c**3 - 3*c**3 - 2*c**5 - 2*c**3 + 4*c**5.
2*c**3*(c - 1)*(c + 1)
Solve -2/15*m**3 + 8/15*m**2 - 2/15*m - 4/5 = 0.
-1, 2, 3
Find m, given that 22/3*m**2 + 0 + 2*m + 10/3*m**3 - 2*m**4 = 0.
-1, -1/3, 0, 3
Let b(v) be the second derivative of v**4/36 - 8*v**2/3 - 94*v. Solve b(t) = 0.
-4, 4
Let i(w) be the third derivative of 0 - 1/200*w**6 + 1/5*w**3 + 4*w**2 - 1/50*w**5 + 1/40*w**4 + 0*w. Suppose i(y) = 0. What is y?
-2, -1, 1
Let i = -1/418 + 227/7524. Let j(k) be the second derivative of -5*k + 2/3*k**2 + 2/9*k**3 + 0 + i*k**4. Suppose j(h) = 0. What is h?
-2
Solve -w + 15*w + 5*w**3 - 47*w + 13*w + 40 - 10*w**2 = 0 for w.
-2, 2
Let l(r) = r**3 - 2*r**2 + r - 6. Let s(f) = -f**3 - 15*f**2 + 10*f - 24. Let i(n) = -12*l(n) + 3*s(n). Suppose i(t) = 0. Calculate t.
-2, 0, 3/5
Let k(a) be the second derivative of -a**5/50 - a**4/10 + 28*a**3/15 + 65*a. Factor k(n).
-2*n*(n - 4)*(n + 7)/5
Let m(w) be the second derivative of -39*w + 3/10*w**5 - 7/16*w**4 + 2/5*w**6 + 0 + 1/8*w**3 + 0*w**2. Factor m(i).
3*i*(i + 1)*(4*i - 1)**2/4
Let o(p) be the third derivative of 0 - 3/10*p**4 + 0*p - 36*p**2 + 1/150*p**5 + 27/5*p**3. Find t such that o(t) = 0.
9
Let f(h) = -52*h**3 - 18*h**2 + 252*h + 61. Let l(t) = -17*t**3 - 6*t**2 + 84*t + 20. Let a(x) = 4*f(x) - 11*l(x). Determine r, given that a(r) = 0.
-2, -2/7, 2
Let m be 234/18 - 10 - 74/26. Factor -m*u**2 + 0 + 0*u.
-2*u**2/13
Let -3*c**3 - 4*c + 16*c + 0*c**3 = 0. Calculate c.
-2, 0, 2
Let j(p) be the second derivative of -p**5/105 - p**4/42 + 5*p**2 + 19*p. Let g(c) be the first derivative of j(c). Solve g(h) = 0.
-1, 0
Let r(v) be the third derivative of 2*v**7/315 + 22*v**6/45 + 64*v**5/5 + 512*v**4/9 - 32768*v**3/9 - 2*v**2 - 101. Factor r(g).
4*(g - 4)*(g + 16)**3/3
Let j(w) = w**2 - 235*w + 1150. Let m be j(5). Let m - 1/4*d**2 - 1/2*d = 0. What is d?
-2, 0
Let k(b) be the third derivative of 0 - 128*b**3 + 0*b + 51*b**2 + 4*b**4 - 1/20*b**5. Factor k(l).
-3*(l - 16)**2
Let t = 37 + -26. Determine s so that 16*s**4 + 20*s**3 + 41*s**2 - t*s**2 + 5 - 11*s**4 + 20*s = 0.
-1
Factor -580/3*g + 2/3*g**2 + 42050/3.
2*(g - 145)**2/3
Let p be (18/4)/(-9*(-3 - 93/(-36))). Solve 0*u**2 + 0 + 12/5*u**3 + p*u**5 - 18/5*u**4 + 0*u = 0 for u.
0, 1, 2
Suppose -4*b = -2*q + 16, 3*q + 5*b + 0*b + 9 = 0. Suppose -8 + 9*c**2 + 11 + 6*c - q - 4 = 0. Calculate c.
-1, 1/3
Find r, given that 864/11*r + 1728/11 - 80/11*r**3 - 2/11*r**5 + 28/11*r**4 - 288/11*r**2 = 0.
-2, 6
Factor 0 + 1/4*n**2 - 1/4*n.
n*(n - 1)/4
Let h(y) be the second derivative of 0 + y + 1/9*y**3 - 1/30*y**5 + 5/36*y**4 + 0*y**2 - 1/18*y**6. Determine r so that h(r) = 0.
-1, -2/5, 0, 1
Let d(i) = 4*i**4 - 137*i**3 + 20*i**2 + 5*i. Let r(u) = 6*u**4 - 206*u**3 + 32*u**2 + 8*u. Let w(l) = 8*d(l) - 5*r(l). Suppose w(n) = 0. Calculate n.
0, 33
Suppose 0 = 17*v - 16*v. Suppose -16*j**2 - 5*j**5 - 24*j**3 + v*j**4 - 16*j**4 + j**5 - 4*j = 0. Calculate j.
-1, 0
Suppose 30 = 3*w + 5*i, 1 = -w + 2*i - 0. Suppose -2*g + 2*g = -w*g. Find p, given that -1/2*p + g - 1/4*p**3 + 3/4*p**2 = 0.
0, 1, 2
Solve -m**3 - 5*m**3 - 6*m**3 + 2*m**4 + 0*m**2 + 28 - 24*m - 20 + 26*m**2 = 0 for m.
1, 2
Let t be 280/126 - (-2)/(-9). Suppose t*j**5 - 13*j**3 + 7*j**3 + 6*j**3 - 4*j**4 = 0. Calculate j.
0, 2
Let o(c) be the first derivative of -c**6/420 + c**4/28 + 2*c**3/21 + 7*c**2/2 + 9. Let f(l) be the second derivative of o(l). Factor f(y).
-2*(y - 2)*(y + 1)**2/7
Let q(u) be the first derivative of 2/5*u**2 + 1/60*u**4 - 2/15*u**3 - 2 + 3*u. Let s(f) be the first derivative of q(f). Factor s(t).
(t - 2)**2/5
Let v(l) = l**3 + 22*l**2 - 49*l - 21. Let h be v(-24). Determine p so that 4/13*p**2 + 0 + 2/13*p**h + 2/13*p = 0.
-1, 0
Let l(s) be the first derivative of -22 + 1/9*s**3 + 1/3*s**2 + 0*s. Let l(o) = 0. What is o?
-2, 0
Let t(o) = -12*o - 72. Let p be t(-6). Let z(x) be the second derivative of p*x**3 + 0 + 0*x**2 + 2/21*x**7 + x + 0*x**6 - 2/3*x**4 - 3/5*x**5. Factor z(f).
4*f**2*(f - 2)*(f + 1)**2
Let z be (-14 - 376/(-28))*(2 - 22/8). Factor z*p**2 + 24/7*p + 48/7.
3*(p + 4)**2/7
Factor 30*h**2 + 0 - 100*h + 9*h**3 + 1/2*h**4.
h*(h - 2)*(h + 10)**2/2
Let a(v) be the first derivative of -v**5 - 25*v**4/4 - 40*v**3/3 - 10*v**2 - 17. Determine j, given that a(j) = 0.
-2, -1, 0
Suppose 46 - 40 = 3*g. Suppose -11 = -4*q - 2*r + r, 2*q = g*r - 2. Find p, given that q*p + 0 + 2/3*p**3 + 8/3*p**2 = 0.
-3, -1, 0
Suppose -16 - 9 = -5*q. Solve -36*r**3 + 18*r**2 + 6*r**2 + 0*r**q - 3*r**5 + 18*r**4 = 0.
0, 2
Suppose -v + 2 = 5*b + 19, 4*b - v = -19. Let h be b*1/4*(1 - 1). Let 2/3*k - 1/3*k**2 + h = 0. What is k?
0, 2
Let p(s) be the third derivative of -s**5/390 + 59*s**4/156 - 58*s**3/39 - 51*s**2. Let p(m) = 0. Calculate m.
1, 58
Let k be 79/(-19) - -1*(-1 + -2 - -8). Factor 0 + 6/19*j**2 + 14/19*j**4 + 4/19*j**5 + k*j**3 + 0*j.
2*j**2*(j + 1)**2*(2*j + 3)/19
Factor 1/7*d**2 + 0 - 6/7*d.
d*(d - 6)/7
Factor -6*g**3 - 1/2*g**4 - 18*g**2 - 16*g + 0.
-g*(g + 2)**2*(g + 8)/2
Let o(n) be the first derivative of n**6/42 - 3*n**5/35 + n**4/14 - 411. Solve o(f) = 0 for f.
0, 1, 2
Let f(l) = l - 20. Let i be f(15). Let r = i + 9. Find w such that 21/4*w**5 + 0 - 3/2*w + 45/4*w**3 - 57/4*w**r - 3/4*w**2 = 0.
-2/7, 0, 1
Let m(l) be the first derivative of l**3/9 - 7*l**2/6 + 10*l/3 + 7. Factor m(k).
(k - 5)*(k - 2)/3
Let t be 1/(-4) + 141/540. Let v(z) be the third derivative of 0*z + 0 - 1/18*z**4 - 3*z**2 + 0*z**3 - t*z**5. Determine q so that v(q) = 0.
-2, 0
Let x(p) be the third derivative of 0*p**6 + 0*p**3 - 14*p**2 - 1/420*p**7 + 0*p**4 + 0 + 0*p + 1/120*p**5. Find y, given that x(y) = 0.
-1, 0, 1
Factor 3*z**3 + 7/5*z**4 + 0 + 9/5*z**2 + 0*z + 1/5*z**5.
z**2*(z + 1)*(z + 3)**2/5
Suppose 0 = 5*c + i - 14, -2*c + 4 = -4*i + 6*i. Determine x, given that 5*x**3 - 2*x**2 - x**c - 29*x**2 + 28*x - x**2 = 0.
0, 1, 7
Let d(x) = -x**2 - 15*x + 4. Let z(j) = -j**2 - 1. Let g(u) = -d(u) + 6*z(u). Factor g(r).
-5*(r - 2)*(r - 1)
Let p(b) be the second derivative of b**4/54 - 502*b**3/27 + 63001*b**2/9 + 555*b. What is s in p(s) = 0?
251
Factor -1/5*f**3 + 0*f - 19/5*f**2 + 0.
-f**2*(f + 19)/5
Let c be -2 - (-5 + 5/2). Let i be (-30)/(-8)*(-2)/(-42)*7. Factor -c + 3/4*j**2 - i*j.
(j - 2)*(3*j + 1)/4
Factor 15295*n**2 + 2*n**5 - 15303*n**2 - 6*n**3 + 4*n**4 + 0*n**5 + 8*n.
2*n*(n - 1)**2*(n + 2)**2
Let x = -3 - -8. Let r be 12/(-30) - 96/(-90). Determine h, given that -2/3*h**2 + r*h**3 + 0*h + 2/3*h**4 + 0 - 2/3*h**x = 0.
-1, 0, 1
Suppose 115 = -3*b + 5*g, 3*g - 117 = 5*b + 48. Let t be 8/b + 1 + 14/(-35). Factor 1/3*h - t*h**2 + 2/3.
-(h - 2)*(h + 1)/3
Let w(h) = h**2 - h + 1. Let y(r) = 3*r**2 - 8*r. Suppose -4*d - d = -5*o + 5, 4*d + 8 = 3*o. Let m(z) = o*w(z) + y(z). Factor m(a).
-(a + 2)**2
Suppose -7*g - 3 = -31. Determine o, given that 10*o**4 - g*o**4 - 52*o**5 - 3*o - 6*o**2 + 55*o**5 = 0.
-1, 0, 1
Find x, given that 84 - 9/2*x**2 - 33*x = 0.
-28/3, 2
Suppose -6 + 3 = -b. Suppose b*g - 15 = -3. Solve 7*x**4 - 3*x**4 - g*x**2 + 0*x**4 = 0.
-1, 0, 1
Factor 12*i - 1800 + 49*i**2 - 12*i + 82*i + 38*i - 51*i**2.
-2*(i - 30)**2
Let u(a) be the first derivative of -2*a**5/5 - 5*a**4/2 - 14*a**3/3 - 3*a**2 + 56. Factor u(z).
-2*z*(z + 1)**2*(z + 3)
Factor -143/4*v + 0 + 1/4*v**2.
v*(v - 143)/4
Let h(w) = 17*w - 3*w**4 + 21*w**3 - 2*w - 5*w**2 + 8*w**2. Let o(l) = 11*l**2 - 7*l - 4*l**3 - 10*l**2 + 5*l**3 + 8*l. Let v(m) = h(m) - 12*o(m). Factor v(u).
-3*u*(u - 1)**3
Let o = 1 - -8. Let w be -1 - 1*o/(-3). What is l in 6*l - 12*l**2 - 3*l**w + 12*l**3 + 0*l**4 - 3*l**4 = 0?
0, 1, 2
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