g**3 + 3*g + 3*g**2 + 3 = 0?
-1, 1/3, 1
Let l be (-6)/(-1 - 2) + -1. Let t be (l/3)/(2/12). Factor 0*n + 2/7 - 2/7*n**t.
-2*(n - 1)*(n + 1)/7
Suppose g + 7 = 2*g. Let y(i) = -i**3 + 6*i**2 + 6*i + 10. Let u be y(g). Determine d so that -d**3 - 2*d**2 + 3*d**3 - d**u + d = 0.
0, 1
Let o be (14/2 - 9) + 208/90. Let n(u) be the first derivative of -3 + 0*u + 22/27*u**3 + o*u**5 - 2/9*u**2 - 8/9*u**4. Determine v so that n(v) = 0.
0, 2/7, 1
Let t(x) = -10*x**4 - 15*x**3 + 35*x**2 + 15*x - 25. Let k(o) = 5*o**4 + 8*o**3 - 18*o**2 - 8*o + 13. Let b(u) = -5*k(u) - 3*t(u). Let b(p) = 0. What is p?
-2, -1, 1
Let p(r) = 23*r - 7. Let l be p(7). Let j = -299/2 + l. What is o in -3/2*o**4 + 0 - 9/2*o**3 - j*o**2 - 3/2*o = 0?
-1, 0
Let s(q) = q**3 + 7*q**2 + 4*q + 4. Let l(x) = -39*x - 4*x**3 + 18*x - 21 - 2*x**3 - 36*x**2. Let w(d) = -4*l(d) - 21*s(d). Factor w(o).
3*o**2*(o - 1)
Solve -6/7 + 6/7*s**2 + 3*s**3 - 3*s = 0.
-1, -2/7, 1
Let z(h) = -3*h**5 + 9*h**4 - 3*h. Let o(m) = -m**2 + m + 1. Let d be o(1). Let n(i) = i**4 + i**3 - i. Let a(f) = d*z(f) - 3*n(f). Factor a(t).
-3*t**3*(t - 1)**2
Let r(a) be the third derivative of a**9/1008 + a**8/80 + 9*a**7/140 + a**6/6 + a**5/5 + 2*a**3/3 + a**2. Let p(b) be the first derivative of r(b). Factor p(i).
3*i*(i + 1)*(i + 2)**3
Suppose 20*y - 19*y = 4. Factor -8*b - 69*b**y + 27*b**5 + 139/3*b**3 - 4/3 + 5*b**2.
(b - 1)**3*(9*b + 2)**2/3
Let t(z) be the second derivative of -z**5/15 + z**4/9 + 2*z**3/9 - 2*z**2/3 + 6*z. Factor t(h).
-4*(h - 1)**2*(h + 1)/3
Factor 4/9 - 8/9*t**2 + 14/9*t.
-2*(t - 2)*(4*t + 1)/9
Suppose 6*u - 146 = 4*v + 4*u, -5*u = -3*v - 99. Let p = 153/4 + v. Determine d, given that -1/2*d**2 - p*d**3 + 0 - 1/4*d = 0.
-1, 0
Factor 14/3 - 4/3*s + 2/21*s**2.
2*(s - 7)**2/21
Let i be 2 + 22/(-8) + 1. Let k = 3/59 + 53/118. Factor -i*u + 0 - 1/4*u**3 + k*u**2.
-u*(u - 1)**2/4
Factor 3*s - 8 - 5*s**2 - 2 + 15*s - 3*s.
-5*(s - 2)*(s - 1)
Let a(c) = -c + 1. Let w be a(2). Let f be -1 + 7 + -2 + w. Factor -3*v**3 - 4*v**2 + f*v**2 + v - 3*v**2 + 2.
-(v + 1)**2*(3*v - 2)
Suppose 12 = -8*m + 11*m. Let g(t) be the second derivative of 0*t**2 + 0*t**5 - 1/75*t**6 - 2*t + 0*t**m + 0*t**3 + 0. Factor g(k).
-2*k**4/5
Let p be (-236)/28 + 5 - -4. Factor -2/7*c**3 + p + 8/7*c**2 - 10/7*c.
-2*(c - 2)*(c - 1)**2/7
Let j be (-226)/840 - (-34)/119. Let d(x) be the third derivative of 0*x**3 - 1/210*x**7 + 0 + 0*x - 1/60*x**5 + 0*x**4 - j*x**6 + x**2. Factor d(i).
-i**2*(i + 1)**2
Let r(z) = z - 2. Let j be r(1). Let h = j - -4. Factor -13*a**2 - a**4 - 3*a - 7 + h + 15*a + 6*a**3.
-(a - 2)**2*(a - 1)**2
Let v(n) be the second derivative of n**6/240 - n**5/80 - n**4/32 + n**3/12 + n**2/4 - 3*n - 12. Factor v(q).
(q - 2)**2*(q + 1)**2/8
Solve -2/7*w + 2/7*w**3 + 2/7 - 2/7*w**2 = 0.
-1, 1
Let u(h) be the third derivative of -h**7/5040 - h**6/1440 + h**4/8 - 4*h**2. Let n(r) be the second derivative of u(r). Factor n(z).
-z*(z + 1)/2
Suppose 2*r + 22 = 3*r. Let q = -43/2 + r. Factor -q*a**3 - 1/2*a + 0 + a**2.
-a*(a - 1)**2/2
Let y(l) be the third derivative of l**6/90 + l**5/15 + l**4/6 + 2*l**3/9 + 8*l**2. Let y(x) = 0. What is x?
-1
Let s(w) be the second derivative of -w**4/24 - 5*w**3/2 - 225*w**2/4 - 49*w. Factor s(k).
-(k + 15)**2/2
Let f(s) = s**3 - 5*s**2 + s. Let y be f(5). Let b = y + -3. Let 0 + 1/6*q - 1/6*q**b = 0. What is q?
0, 1
Let y(n) be the third derivative of -n**5/60 - n**4/24 + 2*n**2. Let d(k) = 2*k**3 - 8*k - 6. Let w(b) = 2*d(b) + 4*y(b). Let w(l) = 0. What is l?
-1, 3
Let u(z) = -z + 7. Let o be u(4). Let s(i) be the second derivative of 0*i**4 - 3/20*i**5 + 4*i - o*i**2 + 3/2*i**3 + 0. Factor s(d).
-3*(d - 1)**2*(d + 2)
Let b(n) be the first derivative of 0*n - 1/8*n**2 + 1/6*n**3 - 1/16*n**4 + 3. Factor b(w).
-w*(w - 1)**2/4
Let y = 6 - 5. Suppose y = -3*j + 13. Solve 2/9*k**j - 2/9*k**2 + 0 + 2/9*k**3 - 2/9*k = 0 for k.
-1, 0, 1
Let -735/4*p**4 + 86*p**2 - 28*p**3 + 343/4*p**5 + 36*p + 4 = 0. What is p?
-2/7, 1, 2
Suppose 4/3*n**5 - 4*n**3 + 0 - 4/3*n**2 + 8/3*n + 4/3*n**4 = 0. Calculate n.
-2, -1, 0, 1
Let f(y) = y**2 + y - 4. Let m be f(3). Let m*d**2 + 2*d**2 + 16 - 24*d - d**2 = 0. Calculate d.
4/3
Let p(n) be the first derivative of -n**9/4536 - n**8/1260 + n**3 + 2. Let d(l) be the third derivative of p(l). Factor d(o).
-2*o**4*(o + 2)/3
Let t(x) be the second derivative of -x**7/840 + x**5/120 - x**3 + 8*x. Let w(f) be the second derivative of t(f). Solve w(d) = 0.
-1, 0, 1
Let v(c) = -185*c**2 + 625*c + 185. Let l(n) = -23*n**2 + 78*n + 23. Let w(x) = 25*l(x) - 3*v(x). Find r such that w(r) = 0.
-1/4, 4
Let v(l) be the third derivative of l**8/504 - l**7/105 + l**6/60 - l**5/90 - 11*l**2. Factor v(j).
2*j**2*(j - 1)**3/3
Let z be (2/(-4))/(20/632). Let a = z - -16. Find r, given that -2/5*r**3 + 4/5*r**5 + 8/5*r**2 - 7/5*r**4 - a - 2/5*r = 0.
-1, -1/4, 1
Let z = -76 - -78. Suppose -6*j - 6 - 3/2*j**z = 0. What is j?
-2
Let s(w) = -2*w - 3 - 4*w - 3*w**2 + 2*w**2 + 0. Let i be s(-5). Solve -i*o**3 - o**5 + 1 - 2*o**4 + 0*o**3 - 2*o - o**4 + 2*o**2 + 5*o = 0.
-1, 1
Suppose -2*r - a = 0, -5*a + 15 = 5*r + 25. Suppose 3/4*x**4 - 3/4 - 3/2*x + 3/2*x**3 + 0*x**r = 0. Calculate x.
-1, 1
What is v in 2*v**5 - v**3 - v**4 - 2*v**3 + v**3 + v**2 = 0?
-1, 0, 1/2, 1
Let z(n) = 4*n**2 - 46*n + 240. Let d(y) = y**2 - y - 1. Let v(c) = 2*d(c) - z(c). Factor v(o).
-2*(o - 11)**2
Let x(q) be the first derivative of q**4 - 8*q**3/3 - 10*q**2 + 24*q + 8. Factor x(y).
4*(y - 3)*(y - 1)*(y + 2)
Factor 50/11*d**2 - 10/11*d**4 - 80/11*d + 32/11 - 2/11*d**5 + 10/11*d**3.
-2*(d - 1)**3*(d + 4)**2/11
Let w(a) = -a**2 - a - 1. Let o(d) = -6*d**2 - 10*d - 8. Let g(n) = o(n) - 8*w(n). Factor g(l).
2*l*(l - 1)
Let r(p) be the first derivative of 3*p**4/4 + 2*p**3 - 3*p**2/2 - 6*p + 6. Factor r(v).
3*(v - 1)*(v + 1)*(v + 2)
Suppose -7*p + 56 - 42 = 0. Find i such that 4/3*i**p - 4/3*i**4 - 2/3*i**5 + 0 + 0*i + 2/3*i**3 = 0.
-2, -1, 0, 1
Suppose -2*k - 4*y = -40, -4*y = 3*k + 15 - 79. Suppose 2 - 16*r**5 + 8*r**3 - 28*r**2 + 2*r**5 + k*r**4 + 6*r + 2 = 0. What is r?
-1, -2/7, 1
Let n(d) = -d**3 + d**2 - 1. Let w(y) = -y**4 - 5*y**3 + 7*y**2 - y - 6. Let m(o) = 6*n(o) - w(o). Suppose m(g) = 0. Calculate g.
-1, 0, 1
Let w(c) be the first derivative of -7/6*c**2 + 5 - 4/3*c**3 - 1/3*c. Factor w(f).
-(3*f + 1)*(4*f + 1)/3
Suppose 3*i - 10 = 2. Suppose -c + 5*v + 2 = -0*c, 2*c + 3*v - i = 0. Determine z, given that c*z**3 - 4/3*z**2 - 8/9*z**4 + 0 + 2/9*z = 0.
0, 1/4, 1
Let f(w) be the first derivative of 2/15*w**5 + 0*w**2 + 1 + 0*w**4 + 0*w - 2/9*w**3. Factor f(j).
2*j**2*(j - 1)*(j + 1)/3
Let i(a) be the second derivative of 2*a**7/315 - a**6/45 + a**5/30 - 7*a**4/12 - a. Let t(g) be the third derivative of i(g). Factor t(l).
4*(2*l - 1)**2
Let a(b) be the third derivative of -b**7/2520 + b**6/720 + b**5/60 - b**4/6 + b**2. Let f(i) be the second derivative of a(i). Factor f(m).
-(m - 2)*(m + 1)
Let c(n) be the second derivative of 27*n**7/98 - 27*n**6/10 - 621*n**5/140 - 71*n**4/28 - 4*n**3/7 - 11*n - 2. Factor c(i).
3*i*(i - 8)*(3*i + 1)**3/7
Let z(q) be the third derivative of q**8/1120 + q**7/180 + q**6/72 + q**5/60 + q**4/3 - 3*q**2. Let r(x) be the second derivative of z(x). Factor r(v).
2*(v + 1)**2*(3*v + 1)
Suppose -k - 130*s + 134*s + 18 = 0, 20 = -5*s. Factor 0 - 1/2*p**3 + 0*p - 1/4*p**k - 1/4*p**4.
-p**2*(p + 1)**2/4
Let q = 394/21 + -6764/315. Let a = 28/9 + q. Determine h, given that a*h - 2/5*h**3 - 2/5*h**2 + 2/5 = 0.
-1, 1
Let p(i) be the first derivative of -2*i**3/21 + 3*i**2/7 - 4*i/7 - 8. Find s such that p(s) = 0.
1, 2
Let j(q) be the first derivative of -q**6/16 - 3*q**5/10 - 15*q**4/32 - q**3/4 + 15. Factor j(m).
-3*m**2*(m + 1)**2*(m + 2)/8
Let v(g) be the second derivative of -3/28*g**7 + 4*g**3 + 0 + 7*g + 2*g**4 - 8*g**2 - g**5 - 7/10*g**6. Factor v(i).
-(i + 2)**3*(3*i - 2)**2/2
Let g = 1500/7 + -214. Determine f so that 0 - 2/7*f**3 - 2/7*f**2 + 2/7*f + g*f**4 = 0.
-1, 0, 1
Let t be (3/9)/(2/24). Let g = 6 - t. Find f such that -f**2 + g*f**4 + 2*f**3 + 2*f**3 - 2*f**2 + 5*f**2 = 0.
-1, 0
Suppose 3*d - 6*d = 0. Suppose d = 3*v - v - 4. Factor 2*y**2 - 7*y - 5*y + v + 48*y**3 + 30*y**4 + 2*y**4.
2*(y + 1)**2*(4*y - 1)**2
Let o(g) = -5*g**4 - 11*g**3 + 12*g**2 + 29*g - 7. Let v(