**2 - 6*m - 6*m**g - m**2 - 3*m**3.
-3*m*(m + 1)*(m + 2)
Find p, given that -2 + 2*p**3 + 6*p - 2*p**2 - p**2 - 3*p**2 = 0.
1
Let d = -2664/253 - -1090847/1265. Let u = -849 + d. Find j such that 4/5*j**2 + u*j**3 + 0 - 2/5*j + 8/5*j**4 = 0.
-1, 0, 1/4
Let y(i) = 3*i + 1. Let d be y(5). Suppose 3*u + d = u. Let s(a) = -2*a**2 + a + 3. Let k(f) = f**2 - 1. Let b(t) = u*k(t) - 3*s(t). Factor b(c).
-(c + 1)*(2*c + 1)
Let m(c) = -2*c**3 + 29*c**2 - 14*c. Let n be m(14). Factor 4/5*f**4 + n*f + 0*f**3 + 0 - 4/5*f**2.
4*f**2*(f - 1)*(f + 1)/5
Let d(i) be the third derivative of -i**7/840 + i**6/960 + i**5/480 + 5*i**2. Factor d(c).
-c**2*(c - 1)*(2*c + 1)/8
Suppose i + 11 = 4*i - 2*a, 4*i - 5*a - 24 = 0. Let r(k) be the first derivative of 0*k + 2/3*k**3 - i - k**2. Factor r(v).
2*v*(v - 1)
Let z be (-8)/6 - (-6)/(-9). Let c = 1 - z. Factor -2*h**5 + h + h**3 - 3*h + 2*h**c + h**3.
-2*h*(h - 1)**2*(h + 1)**2
Suppose -9*z**2 - 3*z**2 + 10*z**2 + 11*z - 3*z = 0. Calculate z.
0, 4
Let f(o) be the second derivative of 3*o**5/20 + 9*o**4/2 + 54*o**3 + 324*o**2 + 9*o. Suppose f(h) = 0. Calculate h.
-6
Let j(b) be the second derivative of b**5/22 - 2*b**4/11 + 4*b**3/33 + 4*b. Let j(s) = 0. Calculate s.
0, 2/5, 2
Let k(w) be the third derivative of -w**6/80 + 3*w**5/20 - 3*w**4/4 + 2*w**3 - w**2. Factor k(l).
-3*(l - 2)**3/2
Suppose 4*f - 4 = 2*f. Suppose f = -2*d + 6. Factor -w**4 + d*w**3 + 21*w - w**2 - 21*w.
-w**2*(w - 1)**2
Let d be (-374)/(-110) - (3/(-5) - -1). Factor 2/3*s**5 + 0*s - 2/3*s**d + 0*s**2 + 0 + 0*s**4.
2*s**3*(s - 1)*(s + 1)/3
Let o(d) = 14*d + 45. Let y be o(-3). Find f, given that -4/5 + 0*f - 4/5*f**4 + 0*f**y + 8/5*f**2 = 0.
-1, 1
Factor 3*l**3 - 4*l**4 + 40*l**2 + 9*l**3 + 3*l**5 + 3 + 9 + 38*l - 5*l**5.
-2*(l - 3)*(l + 1)**3*(l + 2)
Let y(j) be the third derivative of j**6/540 + 2*j**5/135 + 5*j**4/108 + 2*j**3/27 - j**2. Factor y(c).
2*(c + 1)**2*(c + 2)/9
Let f(p) = -p**3 - 10*p**2 + 11*p + 2. Let g be f(-11). Factor g - o**5 - 2*o**4 + 0*o**2 + 8*o**2 + 0 + 2*o**3 + 7*o.
-(o - 2)*(o + 1)**4
Suppose 3*p - 8*p = -10. Suppose 5*b - 26 = 4*z - 0*z, 0 = 5*b + 3*z + p. Find j, given that 2/7*j - 2/7 - 2/7*j**3 + 2/7*j**b = 0.
-1, 1
Suppose -15*j + 64 = 19. Let u(g) be the third derivative of -3/20*g**5 - 2/3*g**j + 0*g - 1/2*g**4 + 3*g**2 + 0. Suppose u(k) = 0. What is k?
-2/3
Suppose -3*z - 5*f - 1 = -2*z, -3*z = 4*f - 8. Find j, given that -4/3*j**2 + 0 + 14/3*j**3 - 2/3*j - 8/3*j**z = 0.
-1/4, 0, 1
Let s(b) = 20*b**4 - 45*b**3 + 4*b**2 + 8*b - 13. Let v(z) = 5*z**4 - 11*z**3 + z**2 + 2*z - 3. Let a(i) = 6*s(i) - 26*v(i). Determine c, given that a(c) = 0.
-2/5, 0, 1
Let o(x) be the first derivative of -x**8/112 + x**6/20 - x**4/8 - 3*x**2 - 4. Let v(s) be the second derivative of o(s). Determine t so that v(t) = 0.
-1, 0, 1
Let o(d) be the first derivative of -d**5/90 + d**4/36 + 2*d**3/9 + 2*d**2 - 2. Let w(t) be the second derivative of o(t). Determine m, given that w(m) = 0.
-1, 2
Let q(o) be the second derivative of 0 - 1/14*o**4 - 1/105*o**6 + 0*o**2 + 1/21*o**3 - o + 3/70*o**5. Determine i so that q(i) = 0.
0, 1
Find l such that -8/13*l + 0 + 2/13*l**2 = 0.
0, 4
Suppose s - 16 = -0. Determine i, given that -4/3 - 44/3*i**4 - 16*i**5 + 46/3*i**3 + s*i**2 + 2/3*i = 0.
-1, -2/3, -1/2, 1/4, 1
Let 84*t**2 - 34*t**3 + 47*t**3 - t**4 + 19*t**3 + 88*t + 32 + 5*t**4 = 0. What is t?
-4, -2, -1
Let h(j) be the first derivative of -j**6/10 + j**4/4 - 10*j - 5. Let u(v) be the first derivative of h(v). Factor u(t).
-3*t**2*(t - 1)*(t + 1)
Suppose -2*h - h = -4*z - 18, 0 = -3*h + z + 9. Find d, given that -2/9 + 2/3*d - 4/9*d**h = 0.
1/2, 1
Let a(d) = 2*d**2 - 12*d + 1. Let n be a(6). Suppose 4*j - 13 = -n. Determine i so that 2*i**2 - 4/3*i - 2/3*i**j + 0 = 0.
0, 1, 2
Factor 4/5*a**4 - 8/5*a**2 + 4/5 + 0*a**3 + 0*a.
4*(a - 1)**2*(a + 1)**2/5
Let q be 2 + -1 + (-20)/(-4). Let c(b) be the first derivative of -4/21*b**3 - 1/7*b**2 + 2/35*b**5 + 2/7*b + 4 - 1/21*b**q + 1/7*b**4. Solve c(i) = 0.
-1, 1
Suppose 3*c = -2*c - 4*t - 29, -t = c + 5. Let a be c/6*-2 + -3. Suppose 1/2*b**3 - 1/2*b**5 - 1/2*b**4 + 1/2*b**2 + 0*b + a = 0. Calculate b.
-1, 0, 1
Let k(d) = 3*d - 1. Let h be k(1). Factor 8/3 + 6*j**h - 8*j.
2*(3*j - 2)**2/3
Let n be ((-2)/2)/((-5)/(25 - 5)). Let o(r) be the second derivative of 0*r**3 + 0 + 1/21*r**7 - 2*r - 1/15*r**6 + 0*r**5 + 0*r**2 + 0*r**n. Factor o(a).
2*a**4*(a - 1)
Let v(m) be the first derivative of -35*m**6/6 - 12*m**5 + 5*m**4 - 21. Solve v(c) = 0 for c.
-2, 0, 2/7
Let p(r) = 4*r**3 - 52*r**2 + 165*r - 144. Let b(w) = -2*w**3 + 26*w**2 - 83*w + 72. Let j(n) = 5*b(n) + 3*p(n). Factor j(y).
2*(y - 9)*(y - 2)**2
Factor -18/17*s**2 - 2/17*s - 8/17*s**4 + 2/17 - 22/17*s**3.
-2*(s + 1)**3*(4*s - 1)/17
Let z(o) be the first derivative of -o**4/10 + 14*o**3/45 + 7*o**2/15 - 2*o/5 - 31. Suppose z(c) = 0. Calculate c.
-1, 1/3, 3
Let t be -3*(-241)/360 + 6/(-3). Let a(g) be the third derivative of 0 + 0*g**4 - 1/12*g**3 + 0*g + t*g**5 - g**2. Let a(f) = 0. What is f?
-1, 1
Factor 6/5 - 12/5*b**4 - 3*b + 3/5*b**5 + 12/5*b**3 + 6/5*b**2.
3*(b - 2)*(b - 1)**3*(b + 1)/5
Let b = 51 - 458/9. Let l(x) be the third derivative of 0 + 1/30*x**5 + 3*x**2 - 4/9*x**3 - b*x**4 + 0*x. Let l(f) = 0. Calculate f.
-2/3, 2
Suppose 3*h = z + 8, 4*z = -0*h + 5*h - 11. What is j in 0 + 1/3*j + 2/3*j**4 - 2/3*j**2 + 0*j**h - 1/3*j**5 = 0?
-1, 0, 1
Suppose 5*n - 6 = 4. What is w in 4*w - 4*w**2 + 2 + 4*w**2 + n*w**2 = 0?
-1
Suppose 3/4 + 1/2*o + 1/2*o**3 - 7/4*o**2 = 0. Calculate o.
-1/2, 1, 3
Let w = -32 + 46. Suppose 3*c = 1 + w. Factor 2*l**3 - 4*l**3 + c*l**5 - 3*l**5.
2*l**3*(l - 1)*(l + 1)
Suppose -2*s + 10 - 6 = 0. Suppose 14 = -3*k - 4*t, -k + 2*k = s*t + 12. Factor 1/2 + 1/2*d - 3/2*d**k - 1/2*d**3 + d**4.
(d - 1)**2*(d + 1)*(2*d + 1)/2
Let k be (-9)/(-36) + 38/(-168). Let w(z) be the second derivative of 1/15*z**6 - 3*z + 0*z**5 + 0 + 1/6*z**3 - 1/6*z**4 + 0*z**2 - k*z**7. Factor w(a).
-a*(a - 1)**3*(a + 1)
Suppose -5*w**5 - 136*w**4 - 30*w**2 - 5*w**3 + 166*w**4 - 14*w**3 + 45*w - 21*w**3 = 0. Calculate w.
-1, 0, 1, 3
Suppose 6*b - b - 270 = 0. Let u be (-3)/b*-2*14. Determine k, given that -4/9*k**2 - u*k**3 + 14/9*k + 4/9 = 0.
-1, -2/7, 1
Let w = 114 - 796/7. Determine y, given that 2/7*y**2 + 0 + w*y = 0.
-1, 0
Suppose 2*x = -0*x + 4. Let d = 9 - 6. Solve d - 1 - 16*y**x + 2 + 2*y + 10*y**3 = 0.
-2/5, 1
Let o be (-2)/7 - 208/(-91). Let t(z) be the first derivative of -4/21*z**3 - 2 - 1/7*z**o + 0*z - 1/14*z**4. Suppose t(m) = 0. Calculate m.
-1, 0
Suppose 4*t + m - 4*m = -9, -4*m = 4*t + 44. Let b be (2 + t)/(-2) - 0. Let h - b*h**4 - h**5 + h**5 + 2*h**2 - h**5 = 0. What is h?
-1, 0, 1
Let v(p) = 2*p**5 + 8*p**4 + 7*p**3 + 4*p**2 - 3*p. Let c(y) = -2*y**5 - 8*y**4 - 8*y**3 - 4*y**2 + 2*y. Let f(w) = 3*c(w) + 2*v(w). What is i in f(i) = 0?
-2, -1, 0
Let s(t) = 2*t**2 + 5*t + 2. Let z be s(-3). Let x be (-6)/(-15) + 13/z. Factor 1/3*j**5 + 2/3*j**4 + 0 - 2/3*j**2 + 0*j**x - 1/3*j.
j*(j - 1)*(j + 1)**3/3
Let u = -2119/7 + 303. Solve 8/7*f**2 - 12/7*f**3 + 0 - 2/7*f - u*f**5 + 8/7*f**4 = 0.
0, 1
Suppose -7*t + 6*t + 2 = 0. Let 2*a**2 + a**2 - 2*a + t*a - 2*a**3 - 1 = 0. Calculate a.
-1/2, 1
Suppose 14 = 4*g - 2. Find u such that 7*u**3 + 9*u**2 - g*u**3 + 3*u**4 + 2*u**3 + 4*u**3 + 3*u = 0.
-1, 0
Factor -9*a**2 - 5*a**4 + 166*a**3 - 11*a**2 - 146*a**3.
-5*a**2*(a - 2)**2
Factor 0*p**4 + 0*p**2 + 1/3*p**5 + 0*p - 1/3*p**3 + 0.
p**3*(p - 1)*(p + 1)/3
Let z be (10/45)/((-4)/(-48)). Let n(y) be the second derivative of z*y**4 + y - 1/21*y**7 - 3*y**3 + 0 - 7/5*y**5 + 2*y**2 + 2/5*y**6. Factor n(g).
-2*(g - 2)*(g - 1)**4
Factor -11/2*c**2 + 1/2*c + 11/2 - 1/2*c**3.
-(c - 1)*(c + 1)*(c + 11)/2
Let y(q) = q**5 + q**3. Let i(r) = -28*r**4 - 22*r**3 - 13*r**2 - 2*r. Let x(k) = 3*i(k) - 24*y(k). Factor x(b).
-3*b*(b + 2)*(2*b + 1)**3
Determine a, given that -19*a**2 + 1 - 6*a - 3 + 13*a**2 - 2*a**3 = 0.
-1
Let c(d) be the second derivative of d**5/120 + 5*d**4/72 + 7*d**3/36 + d**2/4 - 5*d. Factor c(o).
(o + 1)**2*(o + 3)/6
Factor -5*i**3 - 12*i**4 - 10*i + 4 + 2*i**5 + 13*i**3 + 4*i**4 + 4*i**2.
2*(i - 2)*(i - 1)**3*(i + 1)
Let z be ((-2 - 0) + 3)*-13. Let x = -13 - z. Factor x*w + 0*w**2 + 0 + 2/5*w**3.
2*w**3/5
Let a = -7 - -12. Suppose