**s = 0.
-2, -1, 0
Suppose -8 = -3*n + w, 4*n - 2*n - 4*w - 12 = 0. Let m be (-2)/(4*n/(-36)). Factor -r + r**3 + 2*r**2 + 7 + m - 18.
(r - 1)*(r + 1)*(r + 2)
Let w = -373 - -747/2. Let y(s) be the first derivative of 0*s + 0*s**2 - 2/3*s**3 - w*s**4 + 6. Factor y(k).
-2*k**2*(k + 1)
Factor 8/7*p + 2/7*p**2 + 8/7.
2*(p + 2)**2/7
Let c(u) be the first derivative of -2*u**3/9 + 16*u**2/3 + 34*u/3 - 779. Factor c(l).
-2*(l - 17)*(l + 1)/3
Suppose -5*l - 21 = k, -4*k - 4*l = -6*k + 28. Factor 0 + 0*f**2 + 0*f**k - 1/4*f**5 + 1/4*f**3 + 0*f.
-f**3*(f - 1)*(f + 1)/4
Solve -28/3*h**2 - 10*h + 0 + 2/3*h**3 = 0 for h.
-1, 0, 15
Let f(g) be the second derivative of g**4/90 + 88*g**3/15 + 5808*g**2/5 - 999*g. Find n such that f(n) = 0.
-132
Let v(u) be the first derivative of -5*u + 0*u**2 + 3/100*u**5 - 4 + 1/10*u**4 + 0*u**3 - 1/50*u**6. Let z(i) be the first derivative of v(i). Factor z(b).
-3*b**2*(b - 2)*(b + 1)/5
Solve 0 - r**3 - 9/7*r**4 - 4/7*r + 20/7*r**2 = 0 for r.
-2, 0, 2/9, 1
Let q = 30011/6 - 5001. Factor -1/3*w + 0 - q*w**2 + 5/6*w**4 + 1/3*w**3.
w*(w - 1)*(w + 1)*(5*w + 2)/6
Suppose -37 - 19 = -28*s. Factor 2*u**s + 0*u**3 + 0 - 1/2*u**4 + 0*u.
-u**2*(u - 2)*(u + 2)/2
Let i(x) be the first derivative of 7 - 8*x**2 - 7/3*x**3 - 4*x. Factor i(v).
-(v + 2)*(7*v + 2)
Suppose -3*p + 5*t + 26 = t, 2*t = -2*p - 6. Factor 2*s**p + 0*s**2 + 0*s + 2 + 5*s - s.
2*(s + 1)**2
Let r(b) be the second derivative of 0*b**2 - 9*b + 1/50*b**6 + 0*b**3 + 1/20*b**4 + 0 - 3/50*b**5. Factor r(l).
3*l**2*(l - 1)**2/5
Suppose 0 = -3*h - x + 13, -x = -22*h + 24*h - 8. Factor -4/3 - 4/3*b - 4/3*b**h + 8/3*b**2 - 4/3*b**4 + 8/3*b**3.
-4*(b - 1)**2*(b + 1)**3/3
Let d(x) be the second derivative of 2/75*x**6 - 1/15*x**4 + 0 - 3/100*x**5 + 5*x + 2/15*x**3 - 1/210*x**7 + 0*x**2. Solve d(h) = 0 for h.
-1, 0, 1, 2
Suppose 14 = -5*h + 34 + 60. Let -h*s - 16/5 + 24*s**3 - 36/5*s**4 - 52/5*s**2 = 0. What is s?
-1/3, 2
Let k(f) be the first derivative of -2*f**4 + 49/3*f**6 + 0*f + 0*f**2 - 3 - 8/3*f**3 + 98/5*f**5. Suppose k(h) = 0. What is h?
-1, -2/7, 0, 2/7
Let t(u) = 8*u**2 + 3*u + 3. Let w(r) = r**2 + r. Let y be 1000/16 + (-1)/(-2). Let g = y - 91. Let a(q) = g*w(q) + 4*t(q). Factor a(s).
4*(s - 3)*(s - 1)
Let f(u) = 56*u**2 + 8*u - 84. Let p(a) be the second derivative of 2*a**4/3 + a**3/6 - 6*a**2 + 17*a. Let v(i) = 3*f(i) - 20*p(i). Factor v(q).
4*(q - 1)*(2*q + 3)
Find c such that -28/3*c**2 + 0 - 80/9*c**5 + 16/9*c + 64/9*c**3 + 28/3*c**4 = 0.
-1, 0, 1/4, 4/5, 1
Let h = 652 - 648. Let k(f) be the third derivative of 8*f**2 - 1/30*f**5 - 1/180*f**6 + 0*f + 0 - 1/18*f**h + 0*f**3. Find o, given that k(o) = 0.
-2, -1, 0
Let r(l) be the second derivative of -7*l**4/34 + l**3/51 - 2*l - 1. Factor r(a).
-2*a*(21*a - 1)/17
Suppose -98 = -4*g - 3*v, 5*g = -2*v - 49 + 175. Let x = 26 - g. Determine p so that -4/7*p**2 + x + 4/7*p**4 - 2/7*p**5 + 2/7*p + 0*p**3 = 0.
-1, 0, 1
Suppose k - 3*n + 15 = 0, 2*k + 5*n - 13 = 23. Suppose -4/9*b**2 + 10/9*b**4 + 0 - 7/9*b**k + 4/9*b - 1/3*b**5 = 0. Calculate b.
-2/3, 0, 1, 2
Suppose 19*n = 18*n + 2. Let x(f) be the first derivative of -f**n + 2*f + 7 + 1/6*f**3. Find w, given that x(w) = 0.
2
Let v(d) = -d**2 + 5. Let w(o) = o**2 - 1. Let q(n) = -v(n) - 2*w(n). Let z(t) = -2*t**2 + t - 7. Let f(h) = 5*q(h) - 2*z(h). Solve f(p) = 0.
-1
Let l be (-4)/(-2)*10/4. Find p such that -15*p**l - 4*p**3 + 28*p**3 - 20*p**4 - 20*p**2 + 5*p + 20*p**5 + 6*p**3 = 0.
0, 1
Let g(x) = x**2 - 1. Let m(u) = -2*u**3 - 12*u**2 - 6*u + 4. Let p = -1 + 0. Let w be 76/(-12) - p/3. Let t(r) = w*g(r) - m(r). Factor t(z).
2*(z + 1)**3
Let r(s) be the second derivative of -6*s**7/7 - 14*s**6/5 + 279*s**5/20 + 11*s**4 - 18*s**3 - 24*s**2 - 55*s - 6. Find k, given that r(k) = 0.
-4, -1/2, 2/3, 2
Let d(t) = -2*t**2 - 3*t + 50. Let g be d(0). Let z = 53 - g. Factor 13/3*n - 22/3*n**2 - 7/3*n**4 - 1 + 6*n**z + 1/3*n**5.
(n - 3)*(n - 1)**4/3
Suppose 0 = -4*p + 5 + 3. Suppose -g + j - 3 = 0, -5*g = -j + p*j - 9. Determine f, given that -8*f**5 + 1 + 4*f**3 + 4*f - 3*f**4 - g - 9*f**4 + 12*f**2 = 0.
-1, -1/2, 0, 1
Let d = 602 - 24079/40. Let g(v) be the third derivative of 0 - 5*v**2 + 1/2*v**3 + 3/20*v**5 + 0*v + 3/8*v**4 + d*v**6. What is k in g(k) = 0?
-1
Let g be 3*12/9 + 0. Find k, given that 35*k**g - 21*k**4 - 20*k**4 - 3*k**5 = 0.
-2, 0
Let p(l) = -11*l**2 - 60*l + 222. Let s(h) = -2*h**2 - 1. Let g(v) = p(v) - 3*s(v). Solve g(m) = 0.
-15, 3
Suppose -4*z = c - 5*z + 11, 3*c - 4*z = -33. Let m = -8 - c. Factor 12*u**2 + u + m*u - 3*u + 3*u + 5*u**3.
u*(u + 2)*(5*u + 2)
Let q be (-2)/(-6) + -1 + (-685)/(-6). Let l = q - 1541/14. Factor 3/7*d**2 + 48/7 - l*d.
3*(d - 4)**2/7
Let s = -92 + 107. Let t(y) = -y**2 + 15*y. Let p be t(s). Suppose 0 + p*u**2 + 2/3*u**4 + 1/3*u**3 + 0*u = 0. Calculate u.
-1/2, 0
Let u(w) be the third derivative of w**8/1008 + w**7/630 - 7*w**6/180 + 13*w**5/90 - 19*w**4/72 + 5*w**3/18 + w**2. Factor u(t).
(t - 1)**4*(t + 5)/3
Let z(u) = 18*u**2 - 4*u - 3. Let d be z(-2). Let j = d - 75. Suppose -3/5 + 0*h + 3/5*h**j = 0. Calculate h.
-1, 1
Let r = -85 - -92. Suppose -7*b**3 - 11*b**4 - 27*b + r*b + 5*b**5 - 20*b**2 + 22*b**3 + 31*b**4 = 0. Calculate b.
-2, -1, 0, 1
Let y(z) be the second derivative of -z**6/30 - 3*z**5/10 - z**4 - 4*z**3/3 - z - 57. Let y(m) = 0. What is m?
-2, 0
Suppose 19*a + 15 = 24*a. Let p(j) be the first derivative of 0*j**3 + a*j + 3/2*j**4 - 3*j**2 - 4 - 3/5*j**5. Factor p(k).
-3*(k - 1)**3*(k + 1)
Let h = -2109/5 + 25183/60. Let b = h + 11/4. Let s - b - 1/3*s**2 = 0. Calculate s.
1, 2
Let l be (-27 - -10) + 14 + -18*(-9)/42. Factor 2/7 - 2/7*c**2 + 6/7*c**3 - l*c.
2*(c - 1)*(c + 1)*(3*c - 1)/7
Suppose -19*o = -15*o - 4. Let v be 0 - (-1 + 4/(o - -3)). Factor 2/13*r**2 + v*r + 0.
2*r**2/13
Suppose 10*r = -10*r. Let q(a) be the first derivative of -9 + 9/4*a**6 - 15/8*a**4 - 1/2*a**3 + 0*a + r*a**2 - 9/10*a**5. Find l, given that q(l) = 0.
-1/3, 0, 1
Let y(c) be the third derivative of c**8/6720 + c**7/140 + 3*c**6/20 + c**5/6 - 33*c**2. Let i(o) be the third derivative of y(o). What is x in i(x) = 0?
-6
Let k(r) = -2*r**4 - 2*r**3 - r. Let m(t) = 38*t**4 - 175*t**3 - 723*t**2 - 524*t - 108. Let s(d) = 4*k(d) + m(d). What is l in s(l) = 0?
-2, -1/2, -2/5, 9
Let t(h) be the second derivative of -h**4/4 + 35*h**3/2 + 111*h**2 - 141*h. Let t(a) = 0. What is a?
-2, 37
Factor -10 - 74657*q**2 + 74658*q**2 - 7*q + 16*q.
(q - 1)*(q + 10)
Let s(a) be the second derivative of -a**4/96 - 11*a**3/3 - 484*a**2 + 167*a. Factor s(t).
-(t + 88)**2/8
Let t(g) = 18*g**2 - 291*g + 7833. Let y(z) = -z**2 - z - 2. Let o(r) = t(r) + 15*y(r). Factor o(i).
3*(i - 51)**2
Let o = 3111/2098 - -18/1049. Factor 0 + o*c**5 + 0*c**2 + 0*c**4 + 3/2*c - 3*c**3.
3*c*(c - 1)**2*(c + 1)**2/2
Let u(m) be the third derivative of m**8/840 + 8*m**7/525 + m**6/20 - 4*m**5/75 - 4*m**4/15 + m**2 + 52. Suppose u(y) = 0. What is y?
-4, -1, 0, 1
Let s(y) = -28*y**2 + 96*y + 124. Let t(g) = -9*g**2 + 33*g + 42. Let u(a) = -5*s(a) + 16*t(a). Factor u(v).
-4*(v - 13)*(v + 1)
Let j(n) be the second derivative of n**4/96 + 11*n**3/48 + 5*n**2/8 - 62*n. Determine o, given that j(o) = 0.
-10, -1
Factor 14/3*o - 2 + 47/6*o**2 + 7/6*o**3.
(o + 1)*(o + 6)*(7*o - 2)/6
Let s = 1/8078 + 145399/40390. Solve -1/5*a**2 - 81/5 + s*a = 0 for a.
9
Find c such that 117*c**4 - 6*c**5 - 170*c**2 - 95*c - 19*c**5 - 15*c**5 + 135*c**3 + 53*c**4 = 0.
-1, -1/2, 0, 1, 19/4
Let x be 53/57 - 3/(-9). Let t = 177/95 - x. Solve -6/5*h**3 + 0 - t*h + 9/5*h**2 = 0 for h.
0, 1/2, 1
Suppose -d + 5*m = 2, -2*d + 34 = 2*d + m. Suppose -2*g - 2*a + d = 0, -2*g - 26 + 10 = -4*a. Factor g + 2/9*y**2 - 2/9*y**3 - 2/9*y**4 + 0*y + 2/9*y**5.
2*y**2*(y - 1)**2*(y + 1)/9
Suppose -4*l - 7 = -2*h + 3, -2*l = 3*h - 15. Suppose 4*f - 79 - 5 = l. Suppose -f*p**4 + 46 + 36*p**3 - 6*p - 46 - 9*p**2 = 0. What is p?
-2/7, 0, 1
Solve 11/4*f + 7/4*f**2 + 1 = 0.
-1, -4/7
Suppose 0 = -5*y + 2*v + 313, -v + 4*v = 4*y - 249. Suppose -y = -5*q + m, -6*q + 2*q + 4*m + 44 = 0. Find x, given that -4*x**2 - 4 + 27*x - 96 + q*x = 0.
5
Let x(i) be the first derivative of -i**5/80 + i**4/24 + i**3/24 - i**2/4 - 29*i + 23. Let g(f) be the first derivative of x(f). Let g(c) = 0. Calculate c.
-1, 1, 2
Let w = 286 - 280. Let 