
Let a be 32 - (-2)/((-8)/(-12)). Factor -t**2 - a*t + 33*t + 1 + 2.
-(t - 1)*(t + 3)
Find l such that -7*l**2 - 4*l - 180 + 2*l**2 + 64*l = 0.
6
Suppose 0 = -v + c + 4, 0 = 3*v + 3*c - 6. Factor -2/7*s**2 + 12/7*s**4 + s**5 + 3/7*s**v + 0 + 0*s.
s**2*(s + 1)**2*(7*s - 2)/7
Let m be 1/((-1)/(-14)*2). Determine b so that m - 7 + 2*b**2 = 0.
0
Solve 4/3*t**2 + 4/9 + 2/3*t**5 + 8/9*t**3 - 14/9*t - 16/9*t**4 = 0.
-1, 2/3, 1
Let s(j) be the second derivative of -j**4/3 - 8*j**3/3 - 8*j**2 - 7*j. Let s(h) = 0. Calculate h.
-2
Let t(f) be the first derivative of f**6/6 + 3*f**5/5 + 3*f**4/4 + f**3/3 - 6. Factor t(k).
k**2*(k + 1)**3
Factor 2/9*i**2 - 4/9*i + 2/3*i**3 + 0.
2*i*(i + 1)*(3*i - 2)/9
Let j(f) = 8*f**3 + 8*f**2 - f + 5. Let q(w) = -7*w**3 - 7*w**2 + 2*w - 4. Let g(i) = -4*j(i) - 5*q(i). Factor g(k).
3*k*(k - 1)*(k + 2)
Factor 27/8*w**5 + 3/8*w**2 + 0*w + 21/8*w**3 + 45/8*w**4 + 0.
3*w**2*(w + 1)*(3*w + 1)**2/8
Factor -4/7*o**3 + 0*o**4 + 0 + 2/7*o**5 + 2/7*o + 0*o**2.
2*o*(o - 1)**2*(o + 1)**2/7
Let j be (-1)/7*3*(-4)/6. Determine g, given that -6/7*g**3 - j*g + 0 + 6/7*g**2 + 2/7*g**4 = 0.
0, 1
Let d be (-1 + -11)/((-15)/(-10)). Let x be (-12)/(-45) - d/20. Factor 0 - x*y - 2/3*y**2.
-2*y*(y + 1)/3
Determine s, given that -2/7*s**2 + 0 - 2/7*s = 0.
-1, 0
Let r = -4 + 6. Suppose g - g + 2 - r*g**2 + 0 = 0. Calculate g.
-1, 1
Let v(h) be the first derivative of h**4/8 - 29. Factor v(j).
j**3/2
Let n(p) be the first derivative of -p**6/1080 + p**5/60 - p**4/8 + 2*p**3/3 - 5. Let j(o) be the third derivative of n(o). Find z, given that j(z) = 0.
3
Let d(c) be the first derivative of 0*c - 3/2*c**2 + 5/2*c**3 - 3/2*c**5 - 7/4*c**6 + 27/8*c**4 + 7. Suppose d(z) = 0. Calculate z.
-1, 0, 2/7, 1
Let d = 44855 - 224973/5. Let p = d + 140. Solve -6/5*m - p - 2/5*m**3 - 6/5*m**2 = 0.
-1
Let v = 19 - 19. Let l(r) be the third derivative of v*r**4 + 1/210*r**5 - 1/420*r**6 + 2*r**2 + 0*r + 0*r**3 + 0. Factor l(a).
-2*a**2*(a - 1)/7
Let y = -35 - -63. Let i = y - 28. Determine s, given that 0*s - 3/4*s**4 + i - 3/4*s**2 + 3/2*s**3 = 0.
0, 1
Let s(y) = -y**3 - 5*y**2 + y + 1. Let c(x) = 2*x**3 + 11*x**2 - 3*x - 3. Let l(i) = 2*c(i) + 5*s(i). Let v be l(-3). Factor 1/2*g**v - 1/2*g + 0.
g*(g - 1)/2
Suppose -3*z - 4 = 2*q, -4*z + z - 4*q = 8. Factor 0*l**4 + 0 + 1/2*l**3 - 1/2*l**5 + 0*l**2 + z*l.
-l**3*(l - 1)*(l + 1)/2
Find a such that -1/3*a**2 + 0 - 1/3*a**3 + 0*a = 0.
-1, 0
Factor -3 + 9*m + 5*m**2 + 3 + 3 - 17*m**2.
-3*(m - 1)*(4*m + 1)
Let c(r) be the first derivative of 3*r**5/20 - r + 6. Let s(m) be the first derivative of c(m). Factor s(i).
3*i**3
Let w(q) be the second derivative of -q**6/40 + 3*q**5/20 - 3*q**4/8 + q**3/2 - 3*q**2/8 - 5*q. Find s, given that w(s) = 0.
1
Let j be (-50)/(-18) - (-6)/27. Determine a, given that -j*a**5 + 2*a**4 + 4*a + a**5 - 4*a = 0.
0, 1
Let p = -199/60 - -10/3. Let s(w) be the third derivative of 0*w + 0 + 1/36*w**4 - 2*w**2 - p*w**6 + 0*w**3 - 1/45*w**5. Find k, given that s(k) = 0.
-1, 0, 1/3
Let i(w) = w**3 - 3*w**2 + 2*w - 4. Let v be i(3). Factor -2*m**3 + 5*m**3 - m**2 + v*m**2 + 5*m**2.
3*m**2*(m + 2)
Factor -24/7*d + 20/7 + 4/7*d**2.
4*(d - 5)*(d - 1)/7
Let j = -127 - -127. Solve j - 2/3*i**2 + 2*i = 0 for i.
0, 3
Suppose -6 = 18*y - 21*y. Factor -1/4 - 3/4*u**y - 3/4*u - 1/4*u**3.
-(u + 1)**3/4
Let k(v) = 2*v**2 + 4*v + 6. Let b be k(-5). Let -5*q**4 + q**5 + b*q**3 - 24*q**2 - 3*q**5 - 13*q**4 + 5*q**5 = 0. Calculate q.
0, 2
Let n(k) = 0*k - k - 18 + 19. Let x(v) = 3*v**4 + 3*v**3 - 9*v**2 - 17*v - 4. Suppose -4*l + 0*l + 20 = 0, -3*l + 17 = s. Let a(c) = s*n(c) - x(c). Factor a(y).
-3*(y - 2)*(y + 1)**3
Let t(j) be the first derivative of -j**8/560 + j**7/70 - j**6/20 + j**5/10 - j**4/8 - j**3/3 + 3. Let m(x) be the third derivative of t(x). Factor m(q).
-3*(q - 1)**4
Suppose 6*x - 655 - 305 = 0. Let a = -637/4 + x. Factor 3/4*f**3 + a*f**2 - 3/4*f - 3/4.
3*(f - 1)*(f + 1)**2/4
Let s(g) be the second derivative of 3*g**5/20 - g**4/2 + g**3/2 - 7*g. Factor s(l).
3*l*(l - 1)**2
Let t(i) be the third derivative of i**8/168 - 2*i**7/105 + i**5/15 - i**4/12 + 2*i**2. Suppose t(q) = 0. What is q?
-1, 0, 1
Let l(x) be the second derivative of -x**5/35 - x**4/21 + 8*x**3/21 + 8*x**2/7 - 9*x. Factor l(p).
-4*(p - 2)*(p + 1)*(p + 2)/7
Suppose -4*w = 2 - 26. Determine t so that w*t + t**2 + 1 + 0 + 8 = 0.
-3
Let r(x) = x**3 - x**2 - x. Let v be r(2). Determine f so that 2*f**4 - 3*f**5 + v*f**5 - 4*f**5 = 0.
0, 2/5
Let u(r) = -r**2 + 1. Let v(b) = -10*b**2 - 35*b - 25. Let f(n) = 5*u(n) - v(n). Factor f(j).
5*(j + 1)*(j + 6)
Find l, given that -12/11*l**2 + 16/11 + 2/11*l**4 - 2/11*l**3 + 8/11*l = 0.
-2, -1, 2
Suppose -3*m = -5*m + 2*x + 16, 3*x = -m - 8. Let y(k) be the first derivative of 0*k**4 + 1/4*k**3 + 0*k**2 - m + 0*k - 3/20*k**5. Factor y(w).
-3*w**2*(w - 1)*(w + 1)/4
Let a(d) = -3*d**2 + 4*d + 2. Let v be 6/(-4) + (-45)/(-6). Let j(n) = -4*n**2 + 4*n + 2. Let f(x) = v*a(x) - 5*j(x). Suppose f(z) = 0. Calculate z.
-1
Let y(k) = -2*k**2 - k + 7. Let d(m) = 2*m**2 - 6. Let a(r) = -3*d(r) - 2*y(r). Let a(x) = 0. What is x?
-1, 2
Let j = 661/18 + -73/2. Let i = -8/5 + 82/45. Suppose 8/9 - 10/9*n**3 - j*n**4 + 2/9*n**2 + 16/9*n + i*n**5 = 0. What is n?
-1, 2
Solve -62*h**2 + 6*h**2 + 2*h**2 + 52*h**3 - 7*h**4 - 7*h**4 + 8*h + 8 = 0 for h.
-2/7, 1, 2
Let x be 2/(-13) - 1072/(-208). Let o(p) be the first derivative of 2 + 0*p - 1/6*p**3 + 1/10*p**x + 1/4*p**2 - 1/8*p**4. Let o(r) = 0. Calculate r.
-1, 0, 1
Find d such that 0 + 18/7*d**4 - 4/7*d - 24/7*d**3 - 22/7*d**2 = 0.
-1/3, 0, 2
Let h(r) = -r**2 + 2*r. Let z(i) = 60*i**2 + 40*i. Let p(t) = 24*h(t) - z(t). Factor p(b).
-4*b*(21*b - 2)
Let q(a) be the third derivative of a**8/16 - 9*a**7/70 + a**6/20 - 3*a**2. Factor q(v).
3*v**3*(v - 1)*(7*v - 2)
Let f = 116/11 - 10. Let s be 3/6 - (-35)/(-110). Let -6/11*i**4 + 0*i + 0 - s*i**2 - f*i**3 - 2/11*i**5 = 0. Calculate i.
-1, 0
Let w = -10 + 13. Let i(h) = -h + 8. Let v be i(5). Factor -2*c**4 + c**w - c**2 + c**4 - v*c**3.
-c**2*(c + 1)**2
Let d be (-4)/(-10)*(-10)/(-12). Let l(o) be the first derivative of -o - d*o**3 - 2 - o**2. Factor l(p).
-(p + 1)**2
Let o = 47/99 - 1/33. Factor -2/9 - o*f - 2/9*f**2.
-2*(f + 1)**2/9
Factor 2/7*a**2 + 6/7 - 8/7*a.
2*(a - 3)*(a - 1)/7
Let s(r) be the third derivative of r**7/756 - 7*r**6/1080 + r**5/90 - 5*r**4/24 - 5*r**2. Let d(f) be the second derivative of s(f). Factor d(b).
2*(b - 1)*(5*b - 2)/3
Suppose -d**2 - 25 - 4*d - 13*d + 7*d = 0. Calculate d.
-5
Factor -4*h**4 + 3*h**3 + 2*h**3 + 3*h**3 - 4*h**5.
-4*h**3*(h - 1)*(h + 2)
Factor -2/3*u + 0 - 4/3*u**3 - 2*u**2.
-2*u*(u + 1)*(2*u + 1)/3
Suppose 0 = -2*x + 3 + 1. Find d such that 3*d**x - d**2 - d**2 + 11*d**2 - 15*d - 3*d**3 + 6 = 0.
1, 2
Let f(z) = -5*z**3 + 27*z**2 + 363*z + 1337. Let d(r) = -r**3 - r**2 + 1. Let q(o) = 6*d(o) - f(o). Factor q(c).
-(c + 11)**3
Let o(c) = 6*c**4 - 6*c**2. Let q(r) = -13*r**4 + 0*r**4 + 2*r**4 + r**2 + 10*r**4. Let s(x) = o(x) + 5*q(x). Factor s(f).
f**2*(f - 1)*(f + 1)
Suppose 3*t - 31 = -y + 3*y, -4*y + 1 = 3*t. Let b be (-1 - t)*(-28)/144. Solve 10/9*o**2 + b*o**4 + 4/9*o**5 + 0 + 2*o**3 + 2/9*o = 0.
-1, -1/2, 0
Let a(f) be the second derivative of f**6/30 - f**4/6 + f**2/2 + 3*f. Solve a(h) = 0.
-1, 1
Let c(o) = -o**3 - 8*o**2 + o + 9. Let k be c(-8). Let l be k/((-9)/(-6) + -1). Factor -2/9*n**3 - 2/9 + 2/9*n**l + 2/9*n.
-2*(n - 1)**2*(n + 1)/9
Let t(b) = b**2 - 7*b + 4. Let n(i) = 2*i**2 - 8*i + 5. Let j(g) = -2*n(g) + 3*t(g). Let y be j(-5). Factor -p**2 + 4*p**y + 2*p**4 + 2*p**3 - 2*p**5 - 5*p**2.
-2*p**2*(p - 1)**2*(p + 1)
Factor 0 - 9/7*c**3 + 9/7*c**2 + 3/7*c**4 - 3/7*c.
3*c*(c - 1)**3/7
Let t(j) = 7*j**2 + 12*j - 4. Let f(i) = -28*i**2 - 48*i + 16. Let q(c) = -6*f(c) - 22*t(c). Solve q(w) = 0 for w.
-2, 2/7
Let j(p) = -p + 9. Let a be j(7). Factor g**3 - a*g**2 + g**4 + g**4 - g**4.
g**2*(g - 1)*(g + 2)
Factor 0*a + 1/2*a**2 + 3/4*a**5 + 0 - a**4 - 1/4*a**3.
a**2*(a - 1)**2*(3*a + 2)/4
Let p(b) be the third derivative of b**7/630 - b**6/120 - b**5/90 + b**4/6 - 4*b**3/9 - 2*b**2. What is y in p(y) = 0?
-2, 1, 2
Suppose -3 = -2*t + 3. Let n(m) be the first derivative of 1/2*m**2 - 2 - 4/3*m**t + 0*m + 3/4*m**4. Solve n(v) = 0.
0, 1/3, 1
Let i(n) = 3*n**2 + 19*n 