t v = 2/3 - -5/6. Let y be 2/10 + 14/5. Factor -3/2 + y*m - v*m**2.
-3*(m - 1)**2/2
Let 9/2 - 1/2*m**2 + 0*m = 0. What is m?
-3, 3
Suppose -7*k = -5*k + 8*k. Factor k + t**4 + 1/2*t**2 + 7/4*t**3 - 1/4*t.
t*(t + 1)**2*(4*t - 1)/4
Let -5 + 5*w**3 - 3*w**4 + 3 + 2*w**2 + 2 = 0. Calculate w.
-1/3, 0, 2
Let z be (0 - 0)/(0 - -1). Suppose -7*v + 14 = -z*v. Let -9/4*i**4 + 13/4*i**3 - 5/2*i**5 + 11/4*i**v - 3/4*i - 1/2 = 0. Calculate i.
-1, -2/5, 1/2, 1
Let -7*i + 3*i - 5*i - 3*i**3 - 3*i - 12*i**2 = 0. What is i?
-2, 0
Let g(c) = c**3 + 4*c**2 + 2*c + 1. Let l be g(-3). Factor -k**2 - 4/3*k + 4/3*k**3 + 4/3 - 1/3*k**l.
-(k - 2)**2*(k - 1)*(k + 1)/3
Let l be (-21)/(-27) - -3*6/(-54). Solve 2/9*f**5 - 10/9*f + 4/9*f**2 - 8/9*f**4 + 8/9*f**3 + l = 0 for f.
-1, 1, 2
Let p(v) be the first derivative of -9*v**7/560 + 3*v**6/40 - 3*v**5/20 + v**4/6 - v**3 + 3. Let i(y) be the third derivative of p(y). Solve i(l) = 0.
2/3
Let y be 24/(-10) - 4/(-10). Let h = 0 - y. Factor 0 - 2 - 5*f**3 - 9*f**h - f**4 + f - 8*f.
-(f + 1)**3*(f + 2)
Let s(c) = -9*c**2 + 3 + 4*c + 0*c - 11*c - 7*c. Let n(r) = 6*r**2 + 9*r - 2. Let f(l) = -8*n(l) - 5*s(l). Factor f(p).
-(p + 1)*(3*p - 1)
What is m in 12/5 + 4/5*m**2 - 4/5*m**3 + 4*m = 0?
-1, 3
Let p(j) be the second derivative of -j**5/4 + 5*j**4/4 - 5*j**3/2 + 5*j**2/2 + 7*j. Factor p(u).
-5*(u - 1)**3
Let t = -4 + 7. Let b = -1 + 5. Factor 2*h**b - 2 + 4*h**3 + 4*h - 6*h**t - 2*h**3.
2*(h - 1)**3*(h + 1)
Let q be 3 + 3 - 8/(-2). Let h be 20/25*q/4. Solve 3/4*v**h + 1/4*v**4 - 1 - v**3 + v = 0 for v.
-1, 1, 2
Let l(j) be the second derivative of 0*j**4 + 0 + 1/210*j**7 + 0*j**2 + 0*j**3 - j + 0*j**6 - 1/100*j**5. What is q in l(q) = 0?
-1, 0, 1
Let t(m) = 18*m**3 - m**2 - 4*m + 3. Let d be t(2). Let z = d - 941/7. Find q such that -8/7*q**4 + 0 - 2/7*q + 8/7*q**2 + 6/7*q**5 - z*q**3 = 0.
-1, 0, 1/3, 1
Suppose 0 = 5*f + d - 5, -3*f + d = 5. What is l in f*l + 0 - 2/5*l**2 - 4/5*l**3 - 2/5*l**4 = 0?
-1, 0
Suppose 4*g + g = 10. Suppose g*b - 28 = -4*y, -4*b - y + 31 = 2*y. Factor b - 2*j**2 + j**3 - 4.
j**2*(j - 2)
Let h(s) be the third derivative of 1/45*s**5 - 1/18*s**6 + 0*s - 2*s**2 + 0*s**3 + 5/126*s**7 + 0 + 0*s**4. Find t, given that h(t) = 0.
0, 2/5
Determine r so that -r**3 + 8*r + 3*r**2 - r**3 + 100 - 96 - r**4 = 0.
-2, -1, 2
Let h = 89/84 - 11/28. What is y in 0 + 1/3*y**2 - 1/3*y**4 + 2/3*y**3 - h*y = 0?
-1, 0, 1, 2
Let o(h) = h**2 + 1. Let a = 6 - 7. Let u(z) = -9*z**2 + 6*z - 9. Let q(p) = a*u(p) - 6*o(p). Factor q(c).
3*(c - 1)**2
Suppose -5*g + 71 = -29. Suppose -7*w = -12*w + g. Factor 2/3*p**2 + 2/3*p**3 + 0 - 2/3*p - 2/3*p**w.
-2*p*(p - 1)**2*(p + 1)/3
Suppose 2*j + 4*u = 16, 4*j - 4*u = -0*u + 8. Suppose d - 2*v = -8, 5*v - 2*v - 7 = j*d. Suppose 7*r + r**3 - 7*r - 2*r**d = 0. What is r?
0, 2
Let r(g) = -g**5 - g**4 + g**3 + g. Let h(o) = -8*o**5 + 8*o**4 - 8*o**3 + 4*o**2 + 4*o. Let c(d) = -h(d) + 4*r(d). Factor c(p).
4*p**2*(p - 1)**3
Let y = 15 + -7. Let g = 8 - y. Factor 0*m + g - 1/2*m**4 + 0*m**2 - 1/2*m**3.
-m**3*(m + 1)/2
Let p be 0/((-2)/(-5 - -3)). Factor p + 4*s**3 - 2*s - 2*s - 2*s**4 + 2.
-2*(s - 1)**3*(s + 1)
Let u(x) = 9*x**2 - 9. Let t(z) = -5*z**2 + 5. Let n = -6 - -9. Suppose -n*i = 2*i + 55. Let j(s) = i*t(s) - 6*u(s). Factor j(p).
(p - 1)*(p + 1)
Suppose -p + 15 = 2*p. Suppose -p*l + 8 = -12. Factor 4*h**3 - 1 + 12*h**l - 7 - 9*h + 5*h**5 + 6 - 10*h**2.
(h - 1)*(h + 1)**3*(5*h + 2)
Let k(q) be the first derivative of -2/9*q**3 + 0*q - 4 - 1/12*q**4 + 0*q**2. Factor k(f).
-f**2*(f + 2)/3
Let h(b) be the first derivative of -b**6/6 + b**5/5 + b**4/4 - b**3/3 + 18. Factor h(w).
-w**2*(w - 1)**2*(w + 1)
Let i be 4/(-16) - (-5)/(150/9). Let h(x) be the third derivative of 0*x - i*x**6 + 1/105*x**7 - 2/3*x**3 + 0 + 1/4*x**4 + 2*x**2 + 1/30*x**5. Factor h(f).
2*(f - 2)*(f - 1)**2*(f + 1)
Let x = 179/21 - 23/3. Suppose 0 + 2/7*y**4 - 6/7*y**3 + x*y**2 - 2/7*y = 0. What is y?
0, 1
What is m in -1/3*m + 2/3 - 1/3*m**2 = 0?
-2, 1
Let v = 24 + -19. Let -v*t**4 + 12*t**2 - t - 7*t**4 + 5*t + 4*t - 4*t**3 - 4*t**5 = 0. Calculate t.
-2, -1, 0, 1
Let o = 2/59 + 104/413. Factor 0*r**3 + o*r**5 + 4/7*r**2 - 2/7*r - 4/7*r**4 + 0.
2*r*(r - 1)**3*(r + 1)/7
Let w(j) be the first derivative of -1/3*j**4 - 2/15*j**5 + 2/3*j**2 + 0*j**3 + 9 + 2/3*j. Solve w(c) = 0.
-1, 1
Let o be 15/4 + 5/20. Suppose 7 = 5*i - 2*x, -2*x = -x - o. Determine p, given that 0*p**i + 1/2*p**4 + 1/2*p**5 + 0 + 0*p + 0*p**2 = 0.
-1, 0
Factor 2*v**3 - 16*v + 7*v**2 + 13*v**2 - 16*v + 16 - 6*v**3.
-4*(v - 2)**2*(v - 1)
Factor 3 - 3*d**2 - 8*d + 0*d**3 - 17*d + 24*d + d**3.
(d - 3)*(d - 1)*(d + 1)
Suppose -12 = -3*i - 4*m, 4*i - 4*m = -5 - 7. Suppose 1/3*n**4 - 4/3*n**3 + i - 2/3*n + 5/3*n**2 = 0. Calculate n.
0, 1, 2
Let g(z) be the third derivative of -1/12*z**4 - 2*z**2 + 0 + 0*z**3 + 1/70*z**7 - 1/20*z**5 + 0*z + 1/60*z**6. Solve g(j) = 0 for j.
-1, -2/3, 0, 1
Let u(t) be the first derivative of 7*t**6/33 - 24*t**5/55 - t**4/2 + 8*t**3/11 + 4*t**2/11 + 14. Solve u(d) = 0.
-1, -2/7, 0, 1, 2
Suppose 4*p = -4*l - 124, -p = 5*l - 4*p + 195. Let n be (l/63)/((-2)/7). Factor -3/2*d**2 + n + 0*d + 1/2*d**3.
(d - 2)**2*(d + 1)/2
Let w(y) be the third derivative of 0*y - 1/12*y**4 - 2*y**2 + 1/35*y**7 + 0 + 1/12*y**6 + 1/30*y**5 + 0*y**3. What is r in w(r) = 0?
-1, 0, 1/3
Let w(a) = a + 4. Let s be w(-5). Let f be (-1 + 0)/(-1) - s. Factor -2*i**4 + f*i + i**5 - 2 + i**5 + 0*i**5 - 4*i**3 + 4*i**2.
2*(i - 1)**3*(i + 1)**2
Let p(y) be the second derivative of 0*y**2 + 0 + 6*y - 4/9*y**3 - 1/18*y**4 + 1/10*y**5. Find j such that p(j) = 0.
-1, 0, 4/3
Let w be ((-2)/(-5))/((-2)/20). Let m be 3/w*(-24)/5. Factor 24/5*x - m*x**2 + 4/5*x**3 - 8/5.
2*(x - 2)**2*(2*x - 1)/5
Let j(y) be the second derivative of 5/84*y**4 + 0 - 2*y - 1/30*y**5 + 2/21*y**3 + 3/2*y**2. Let d(a) be the first derivative of j(a). Factor d(k).
-2*(k - 1)*(7*k + 2)/7
Factor -8/9*c + 10/9 - 2/9*c**2.
-2*(c - 1)*(c + 5)/9
Let f(g) be the first derivative of -2/3*g**3 - g**2 + 4*g + 2. Factor f(a).
-2*(a - 1)*(a + 2)
Let h(s) = -5*s**2 + 29*s - 30. Let o(n) = 5*n**2 - 30*n + 30. Let v(p) = -5*h(p) - 6*o(p). Let v(r) = 0. What is r?
1, 6
Let h(t) be the third derivative of -t**7/1995 + 7*t**2. Factor h(z).
-2*z**4/19
Find z, given that 11*z**2 + 12*z - 5*z**2 + 8*z**2 - 12 + 3*z**4 - 5*z**2 - 12*z**3 = 0.
-1, 1, 2
Let b(i) be the third derivative of i**8/224 - i**7/70 + 9*i**2. Factor b(w).
3*w**4*(w - 2)/2
Let j(q) be the second derivative of q**5/110 - 2*q**4/33 + 4*q**3/33 - 5*q. Factor j(l).
2*l*(l - 2)**2/11
Let r(y) be the first derivative of -y**6/2 - 3*y**5/5 + 3*y**4/2 + 2*y**3 - 3*y**2/2 - 3*y - 6. Factor r(g).
-3*(g - 1)**2*(g + 1)**3
Let j(i) be the third derivative of -i**7/420 + i**6/240 + i**5/60 - 5*i**2. Solve j(w) = 0 for w.
-1, 0, 2
Let h(f) be the second derivative of -f**5/200 - f**4/30 + f**3/60 + f**2/5 + 2*f. Factor h(o).
-(o - 1)*(o + 1)*(o + 4)/10
Let u(d) be the third derivative of -1/150*d**6 + 0*d + d**2 + 0*d**4 + 0 + 0*d**3 + 0*d**5 - 2/525*d**7. Factor u(w).
-4*w**3*(w + 1)/5
Solve -q**5 + 7/3*q**4 + 1/3*q**2 - 5/3*q**3 + 0 + 0*q = 0 for q.
0, 1/3, 1
Let i = -23/9 - -55/18. Find z, given that -3*z - i*z**2 - 9/2 = 0.
-3
Let 6*h**2 + 2*h**3 - h**3 + 2*h**3 - 12*h**3 + 3*h**5 = 0. Calculate h.
-2, 0, 1
Suppose -5*x + 3*z - 6*z = -13, -2*z = -5*x + 8. Let y(n) = n**2 - 9*n + 2. Let a be y(9). Solve 2*o**4 + 4*o - a*o**2 + x*o**2 - 4*o**3 - 2 = 0.
-1, 1
Find o, given that -20/13*o + 50/13*o**2 + 2/13 = 0.
1/5
Let u(a) = 2*a**2 + 7*a + 1. Suppose -2*j - 4 - 6 = 0. Let m be u(j). Let 15*h**2 + 31*h**3 + 27*h**4 + m*h**3 + 2*h - 11*h**3 = 0. What is h?
-2/3, -1/3, 0
Let i(w) = -w**2 - 6*w + 5. Let l be i(-6). Suppose l*k + 8 = 23. Solve -2/7*g - 2/7*g**k + 0 + 4/7*g**2 = 0.
0, 1
Let h(b) be the second derivative of b**6/150 - b**4/20 - b**3/15 + b + 11. Factor h(f).
f*(f - 2)*(f + 1)**2/5
Let u be 5 - 5/(15/9). Let o(x) be the second derivative of 1/8*x**4 + 3*x + 1/4*x**3 + 0*x**u + 0. Factor o(h).
3*h*(h + 1)/2
Let r(n) be the third derivative of 0*n - 1/42*n**6 + 1/21*n**5 - 5/84*n**4 + 1/21*n**3 + 1/147*n**7 - n**2 + 0 - 1/1176*n**8. Factor r(g).
-2*(g - 1)**5/7
Solve 3*r + 9/2 + 1/2*r**2 = 0.
-3
Determine s so that 38/9*s**2 - s**3 + 0 - 8/9*s = 