
-2/7, 0
Let s = -2827 + 2829. Factor -7/3 - 13/3*n + 1/3*n**3 - 5/3*n**s.
(n - 7)*(n + 1)**2/3
Suppose -112/3 + 24*h**3 - 7/3*h**4 + 344/3*h**2 + 96*h = 0. What is h?
-2, 2/7, 14
Let v(c) be the third derivative of -c**9/504 + c**8/840 + c**3/6 - 8*c**2. Let x(r) be the first derivative of v(r). Factor x(k).
-2*k**4*(3*k - 1)
Let z(q) = -32*q + 32. Let x be z(1). What is k in 0*k**2 + x + 0*k**4 - 1/3*k**3 + 0*k + 1/3*k**5 = 0?
-1, 0, 1
Let a(c) = -30*c + 130. Let j(v) = v**2 - v - 1. Let q be (-2)/(-5)*(-4 - 1). Let y(x) = q*a(x) - 4*j(x). Factor y(h).
-4*(h - 8)**2
Let s(a) be the first derivative of a**6/2 + 48*a**5/5 + 45*a**4/4 + 276. Factor s(h).
3*h**3*(h + 1)*(h + 15)
Let g = -792 + 794. Let d(o) be the first derivative of -g*o**2 + o**4 + 7 + 4*o - 4/3*o**3. Solve d(a) = 0.
-1, 1
Suppose -5*m - 9*z - 5 = -4*z, -18 = 6*z. Factor -1/4*o**4 + 0*o**m + 0 + 0*o - 1/4*o**3.
-o**3*(o + 1)/4
Factor 81/4*u + 17 - 5/4*u**2.
-(u - 17)*(5*u + 4)/4
Let j(s) be the third derivative of s**6/180 + 7*s**5/18 + 8*s**4 - 36*s**3 + 2*s**2 - 234. Factor j(b).
2*(b - 1)*(b + 18)**2/3
Let o = -25 - -29. Suppose -l = l - o. Factor 4*g**2 - 13 + 15*g - 7*g**l + 1.
-3*(g - 4)*(g - 1)
Let t be 30/(-9)*108/8. Let m = t + 136/3. Let 0 + m*r**2 - 1/3*r = 0. What is r?
0, 1
Let m(i) be the third derivative of -i**5/150 + 2*i**4/5 - 102*i**2 - 2. Factor m(b).
-2*b*(b - 24)/5
Let l(r) = -12*r**2 + 471*r + 474. Let b(w) = -3*w**2 + 117*w + 118. Let m(o) = -9*b(o) + 2*l(o). Factor m(d).
3*(d - 38)*(d + 1)
Let l = -502/9 - -56. Let z(t) = 289*t + 3181. Let y be z(-11). Factor -2/9*c**3 - 2/3 + 10/9*c - l*c**y.
-2*(c - 1)**2*(c + 3)/9
Let d be (4 + 0)/(5 + 2 + 7). Let b(v) be the first derivative of d*v**2 - 2/21*v**3 + 0*v - 8. Find r such that b(r) = 0.
0, 2
Suppose 4*u - 55*u = 18*u. Suppose 32/7*o + u + 4/7*o**2 = 0. Calculate o.
-8, 0
Let s(o) = -o**2 + 4*o + 2. Let a be s(4). Suppose a*z + 12 = -3*d, 3*z - 20 = 4*z + 5*d. Factor z + 5/4*b**3 + 0*b**2 + 0*b.
5*b**3/4
Let p = -3 - -6. Suppose p = 5*h - 4*h. Suppose 0 + 2/3*n**4 - 8/3*n**h - 4/3*n + 10/3*n**2 = 0. Calculate n.
0, 1, 2
Let m(d) be the second derivative of d**6/30 - d**5/6 + d**4/3 - 13*d**3/6 - 35*d. Let f(c) be the second derivative of m(c). Factor f(q).
4*(q - 1)*(3*q - 2)
Let o = -98/5 - -1088/55. Let b(m) = -m**3 + 7*m**2 + 2*m - 46. Let v be b(6). Factor -2/11*p + 0 + o*p**v.
2*p*(p - 1)/11
Let h = 48 - 46. Find o, given that 0*o - 33*o**2 + 43*o**h - 30 - 5*o = 0.
-3/2, 2
Determine j so that 439*j + 12*j**5 - 108*j**2 - 42*j**3 + 430*j - 893*j + 27*j**4 = 0.
-2, -1/4, 0, 2
Let v(a) be the first derivative of -3*a**4/4 - 47*a**3 - 1725*a**2/2 - 1587*a + 20. Factor v(s).
-3*(s + 1)*(s + 23)**2
Let b = 745 + -745. Let z(q) be the first derivative of 1/15*q**5 + b*q**4 + 2 + 0*q**2 - 2/9*q**3 + 1/3*q. Solve z(r) = 0.
-1, 1
Let o(r) = -r**3 - r**2 - 8*r - 8. Let j be o(-6). Suppose 0 = x - 5*x + j. Solve 4*s - s**4 - 51*s**2 + x*s**2 + 0*s**4 - s**3 = 0 for s.
-2, -1, 0, 2
Factor 1587/5*c + 3/5*c**3 - 138/5*c**2 + 0.
3*c*(c - 23)**2/5
Let g(o) be the second derivative of 0*o**3 + 0 + 1/42*o**7 - 1/10*o**6 + 20*o + 0*o**4 + 1/10*o**5 + 0*o**2. Factor g(y).
y**3*(y - 2)*(y - 1)
Let u(w) be the second derivative of -1/140*w**5 + 1/84*w**4 - 2*w + 0 + 1/42*w**3 - 1/14*w**2. Suppose u(t) = 0. Calculate t.
-1, 1
Solve 1/9*i**4 - i**3 - 5/3*i + 23/9*i**2 + 0 = 0.
0, 1, 3, 5
Let t(i) = -2*i**4 + 4*i**3 - 30*i**2 + 28*i - 8. Let m(k) = 3*k**4 - 4*k**3 + 31*k**2 - 30*k + 10. Let j(n) = 4*m(n) + 5*t(n). Factor j(s).
2*s*(s - 2)*(s - 1)*(s + 5)
Let k(w) be the second derivative of -w**5/5 - 38*w**4/3 - 70*w**3/3 + 148*w**2 + 86*w + 2. Factor k(h).
-4*(h - 1)*(h + 2)*(h + 37)
Factor 24/5*a - 8/5 - 2*a**2.
-2*(a - 2)*(5*a - 2)/5
Determine u, given that 5/3*u**3 + 0 - 1/3*u**5 - u**4 + u**2 - 4/3*u = 0.
-4, -1, 0, 1
Let w(c) = 2*c**2 + 6*c. Let f be (-10)/3 - 4/(-12). Let n(y) = -2*y**2 - 7*y. Let k(a) = f*w(a) - 2*n(a). Let k(v) = 0. Calculate v.
-2, 0
Let h be (-1)/(4/8) + 6. Let l(u) be the second derivative of 0 - 1/7*u**2 - u - 2/21*u**3 - 1/42*u**h. Solve l(p) = 0.
-1
Let z(l) be the first derivative of -32*l**2 - 6*l - 1/3*l**4 - 16/3*l**3 - 3. Let a(y) be the first derivative of z(y). Find u such that a(u) = 0.
-4
Suppose 12 = -6*l + 12*l. Let p(z) be the first derivative of -2/5*z**5 + 0*z**4 + 1/6*z**6 + 2/3*z**3 + 0*z - 1/2*z**l - 1. Let p(o) = 0. What is o?
-1, 0, 1
Suppose u - p + 0*p = 14, 0 = u - 5*p - 10. Let h = u - 13. Factor -6*t**3 - 10*t + 2*t**h + 5*t**3 - 2 + 11*t.
-(t - 2)*(t - 1)*(t + 1)
Let k = 656 - 654. Let h(n) be the first derivative of -1/4*n**3 + 0*n**k + 0*n - 6 + 1/16*n**4. Determine l so that h(l) = 0.
0, 3
Let j(z) be the second derivative of 64*z**6/5 - 228*z**5/5 + 51*z**4/2 - 49*z**3/8 + 3*z**2/4 + 311*z. Factor j(y).
3*(y - 2)*(8*y - 1)**3/4
Let z(w) be the first derivative of w**3/3 + 56*w**2 + 3136*w + 149. Solve z(f) = 0.
-56
What is s in 103*s**2 - 98*s**2 - 3 + 5 + 19 + 19 - 30*s = 0?
2, 4
Suppose -2*k = -3*u + 84, -u = -4*k - 0*u - 148. Let v be (-136)/k - 4/(-18). Solve -1/2*m**v - 3/2*m**3 + 0 - 3/2*m**2 - 1/2*m = 0 for m.
-1, 0
Suppose -a - 7 = -19*j + 18*j, 0 = -3*j - 3*a - 21. Let 2/7*m**2 + j - 4/7*m**5 - 18/7*m**3 - 18/7*m**4 + 6/7*m = 0. What is m?
-3, -1, 0, 1/2
Let k(f) be the third derivative of f**6/720 + f**5/60 + f**4/16 + 23*f**3/6 - 15*f**2. Let q(c) be the first derivative of k(c). Find v such that q(v) = 0.
-3, -1
Let r be -1 + 42/4*32/48. Let v(d) be the second derivative of 0*d**4 + 0*d**3 + 0 - 2/15*d**r - 1/10*d**5 + 0*d**2 - 1/21*d**7 + 11*d. Factor v(l).
-2*l**3*(l + 1)**2
Let s(b) = -10*b**3 + 20*b**2 - 35*b - 20. Let r be 312/20 - ((-21)/15 + 2). Let p(k) = k**3 - k**2 + k. Let z(x) = r*p(x) + s(x). Let z(j) = 0. What is j?
-2, -1, 2
Let o(j) be the third derivative of -j**8/84 + 4*j**7/35 - j**6/3 + 11*j**4/6 - 4*j**3 + 179*j**2. Solve o(w) = 0.
-1, 1, 2, 3
Let w = -24744/5 - -4949. Determine z, given that -w + 0*z + 1/5*z**2 = 0.
-1, 1
Let j(l) be the first derivative of -l**3/15 + 6*l**2 - 180*l + 97. Solve j(k) = 0 for k.
30
Let n(a) be the third derivative of -65/24*a**4 - 10*a**2 + 0 + 5/3*a**3 - 5/24*a**6 + 4/3*a**5 + 0*a. Solve n(r) = 0 for r.
1/5, 1, 2
Factor -4*k**3 - 9*k**3 + 20*k**4 + 18*k**3 - 30*k**2 + 5*k**5.
5*k**2*(k - 1)*(k + 2)*(k + 3)
Let z(n) be the third derivative of -14*n**2 + 0*n**4 + 0 + 0*n**3 - 1/6*n**5 - 5/336*n**8 + 0*n + 0*n**7 + 1/8*n**6. Factor z(h).
-5*h**2*(h - 1)**2*(h + 2)
Let u(c) = 48*c**2 + 6993*c + 551124. Let w(z) = 7*z**2 + 1000*z + 78732. Let l(x) = -4*u(x) + 27*w(x). Suppose l(i) = 0. What is i?
-162
Factor -3/4*r**2 + 9/4*r - 9/4*r**3 + 0 + 3/4*r**4.
3*r*(r - 3)*(r - 1)*(r + 1)/4
Suppose 65 = 15*y - 2*y. Let q = -2 + 6. Suppose 2*w**4 + 5*w - 2 + 4*w - q*w**3 - y*w = 0. What is w?
-1, 1
Let a(p) be the first derivative of 2*p**5/35 + 15*p**4/14 + 26*p**3/7 + 37*p**2/7 + 24*p/7 - 82. Factor a(d).
2*(d + 1)**3*(d + 12)/7
Let g(y) be the second derivative of 3*y + 1/180*y**5 - 1/6*y**3 - 5*y**2 + 0 - 1/36*y**4. Let z(m) be the first derivative of g(m). Factor z(c).
(c - 3)*(c + 1)/3
Let u(a) be the second derivative of 0*a**2 + 1/4*a**4 - 3/10*a**6 + 0*a**3 - 1/7*a**7 + 6 - 3*a + 0*a**5. Factor u(v).
-3*v**2*(v + 1)**2*(2*v - 1)
Let k(z) be the third derivative of 0*z**3 - 1/70*z**7 + 1/2*z**4 + 0 - 2/5*z**5 - 3*z**2 + 0*z + 1/8*z**6. Factor k(q).
-3*q*(q - 2)**2*(q - 1)
Let i(f) = f**2 + 3*f - 5. Let z be i(-8). Determine o, given that z*o**2 - o**3 - 29*o + 45 - 29*o - 4*o**3 - 17*o = 0.
1, 3
Let z = -11 + 12. Let o(l) = 3*l**4 - 2*l**3 - 11*l**2 - 5. Let a = 0 + -5. Let c(g) = -g**3 - g**2 - 1. Let u(m) = a*c(m) + z*o(m). Factor u(k).
3*k**2*(k - 1)*(k + 2)
Let q(d) be the third derivative of d**7/630 - d**6/60 - 11*d**5/180 + 5*d**4/6 + 50*d**3/9 - 12*d**2 + 3. Factor q(v).
(v - 5)**2*(v + 2)**2/3
Let l be 7/((-28)/(-41)) + (-2)/8. Let k = l - 8. Suppose k*s**3 + s**4 - 3/2*s**2 - 5/4*s - 3/4*s**5 + 1/2 = 0. What is s?
-1, 1/3, 1, 2
Let t be (2/7)/(32 - (-223)/(-7)). Determine a so that 2*a**3 - 8/9*a - 32/9*a**t + 0 = 0.
-2/9, 0, 2
Let j(q) = 22*q**2 + 13*q - 2. Let d = 24 - 20. Let s(l) = 23*l**2 + 14*l - 1. Let y(h) = d*j(h) - 5*s(h). What is n in y(n) = 0?
-1/3
Let p = -66 + 65. Let b be (