 What is o?
-1, 1/2
Solve -6/7 + 2/7*s**2 - 4/7*s = 0 for s.
-1, 3
Let s(d) = d**3 - 11*d**2. Let r(q) = q + 11. Let j be r(0). Let g be s(j). Factor 4/3*m**3 - 2/3 + 2/3*m**4 - 4/3*m + g*m**2.
2*(m - 1)*(m + 1)**3/3
Let c(h) be the second derivative of 2*h**2 + 1/48*h**4 + 5*h + 1/3*h**3 + 0. Factor c(r).
(r + 4)**2/4
Suppose 2*m + 2 = 3*m. Suppose -m*u + u = 0. Factor 2/7*d**3 + 0*d - 2/7*d**5 + 2/7*d**4 - 2/7*d**2 + u.
-2*d**2*(d - 1)**2*(d + 1)/7
Let i be 10/4*16/20. Suppose -a + 4 - i = 0. Solve -1/4*v**3 + 1/2 + 3/4*v + 0*v**a = 0.
-1, 2
Let r(w) be the first derivative of -w**5/20 + w**4/6 + w**3/6 - w**2 - 7*w + 7. Let h(y) be the first derivative of r(y). Factor h(t).
-(t - 2)*(t - 1)*(t + 1)
Let t be ((-3 - -3)/(-4))/(-3*1). Let h = -21 + 149/7. Factor 4/7*z**2 - 2/7*z**3 - h*z + t.
-2*z*(z - 1)**2/7
Let y(s) be the first derivative of s + 0*s**3 - 3 - s**2 + 1/2*s**4 - 1/5*s**5. Factor y(g).
-(g - 1)**3*(g + 1)
Suppose -4 = -4*w + 8. Let f(o) be the first derivative of 0*o - 2 - 3/16*o**4 - 1/20*o**5 - 1/4*o**w - 1/8*o**2. Suppose f(n) = 0. Calculate n.
-1, 0
Suppose -52/5*s**2 - 4/5 - 26/5*s - 6*s**3 = 0. Calculate s.
-1, -2/5, -1/3
Factor 33*w**2 - 36*w + 29*w**2 - 12*w**4 - 10*w**2 + 8*w**5 + 8 - 20*w**3.
4*(w - 1)**3*(w + 2)*(2*w - 1)
Let j(g) be the second derivative of 3*g**5/20 - g**4/4 - 4*g. Find c, given that j(c) = 0.
0, 1
Let r(p) be the second derivative of p**7/252 + p**6/36 - 7*p**5/120 - 5*p**4/72 + p**3/6 - 3*p. Suppose r(i) = 0. Calculate i.
-6, -1, 0, 1
Let u = -454 + 183. Let w = u - -1095/4. Factor 0 + 3/2*t**4 + t - w*t**3 + 9/4*t**5 - t**2.
t*(t + 1)**2*(3*t - 2)**2/4
Let v(p) be the first derivative of p**5/5 - p**4/12 - p**3 + 3*p**2/2 - 2*p/3 - 12. Factor v(i).
(i - 1)**2*(i + 2)*(3*i - 1)/3
Let h(d) = 3*d - 4. Let o be 1 + 2/(-10)*-5. Let v be h(o). Factor 0*i**3 + 0*i**v + 0 + 2/5*i**4 - 2/5*i**5 + 0*i.
-2*i**4*(i - 1)/5
Let y = -5 - -5. Let z be 3/(-9)*y/1. What is j in 2/5*j + 8/5*j**2 + 6/5*j**3 + z = 0?
-1, -1/3, 0
Let n(y) be the third derivative of -1/72*y**4 + 0*y**5 + 0 + 0*y + 1/1080*y**6 + y**2 - 1/3*y**3. Let h(k) be the first derivative of n(k). Factor h(f).
(f - 1)*(f + 1)/3
Let d(q) be the second derivative of q**6/40 + q**5/10 - 3*q**4/8 + 5*q**2/2 + 4*q. Let g(r) be the first derivative of d(r). Factor g(v).
3*v*(v - 1)*(v + 3)
Let i(k) be the first derivative of k**4/12 + 5*k**3/9 + 4*k**2/3 + 4*k/3 - 8. Factor i(p).
(p + 1)*(p + 2)**2/3
Let x(n) = 3*n**4 - 21*n**3 + 9*n + 2*n - 2*n**4. Let o(r) = -r**3 + 2*r**3 + r**3 - 2*r + 2*r**3. Let b(a) = -11*o(a) - 2*x(a). Factor b(d).
-2*d**3*(d + 1)
Let k(q) = 110*q + 20. Let d be k(-6). Let g be (-2)/13 + d/(-780). Factor 10/9*v**2 - 2/9*v - g*v**3 - 2/9.
-2*(v - 1)**2*(3*v + 1)/9
Let j(s) = 3*s**3 + 6*s**2 - 4*s. Let c(o) = -o**3 - 2*o**2 + o. Let k be 4/(-6) - (-70)/15. Let a(m) = k*j(m) + 14*c(m). Factor a(u).
-2*u*(u + 1)**2
Let t(r) be the second derivative of r**9/83160 - r**8/12320 + r**7/4620 - r**6/3960 - r**4/3 + 3*r. Let v(f) be the third derivative of t(f). Factor v(x).
2*x*(x - 1)**3/11
Suppose 0*u - 3*u = -9. Suppose 15 = 2*d + u*d. Factor -4/9 - 2/9*m**d + 4/9*m**2 + 2/9*m.
-2*(m - 2)*(m - 1)*(m + 1)/9
Let f(s) = 0 - 5 + 7*s - 4 + 11*s**2. Let a(n) = 6*n**2 + 4*n - 5. Let g(h) = -5*a(h) + 3*f(h). Factor g(u).
(u + 1)*(3*u - 2)
Let l(n) be the third derivative of -2*n**5/15 - 7*n**4/24 + n**3/6 + 23*n**2. Solve l(a) = 0 for a.
-1, 1/8
What is t in -13/3*t**2 - 1/3*t**4 - 2*t**3 - 4/3 - 4*t = 0?
-2, -1
Let g(l) be the third derivative of l**6/480 - l**5/120 + 5*l**2. Factor g(t).
t**2*(t - 2)/4
Suppose 8*h = 3*h + 20. Let x(r) be the first derivative of 3/4*r**h - 3/10*r**5 - 1/2*r**3 + 0*r**2 + 3 + 0*r. Factor x(n).
-3*n**2*(n - 1)**2/2
Let a = 4789/36 - 133. Let s(o) be the second derivative of -a*o**4 - 1/6*o**3 - 2*o - 1/3*o**2 + 0. Suppose s(c) = 0. What is c?
-2, -1
Let j be 5/(75/(-145)) - -1. Let p = -25/3 - j. Find d such that 0 - 2/3*d**3 - p*d - d**2 = 0.
-1, -1/2, 0
Suppose 0*n + 2/9*n**4 - 2/9*n**5 + 0 + 0*n**3 + 0*n**2 = 0. What is n?
0, 1
Let s(h) = -9*h**3 - h**2 + 13*h - 5. Let b(l) = 28*l**3 + 4*l**2 - 40*l + 16. Let z(a) = 5*b(a) + 16*s(a). Factor z(p).
-4*p*(p - 2)*(p + 1)
Let w(l) be the second derivative of -l**7/42 + 4*l**6/45 - l**5/10 + l**3/18 + 29*l. Factor w(m).
-m*(m - 1)**3*(3*m + 1)/3
Find f, given that -1/2*f**2 - 1/4*f**3 + 0 - 1/4*f = 0.
-1, 0
Let n = 1/59 - -111/413. Let n*a**3 - 4/7*a**2 + 0 + 2/7*a = 0. What is a?
0, 1
Suppose -1 = 3*x - 10. Find s, given that -2*s + 3 - 2*s**2 - x + 4*s**3 = 0.
-1/2, 0, 1
Factor -4*i**3 - 2 + 0 + 6*i**2 + 7*i - i**2.
-(i - 2)*(i + 1)*(4*i - 1)
Let n = 185161/780 + -29/156. Let l = 238 - n. Factor -1/5 + l*m**2 + 3/5*m.
(m + 1)*(4*m - 1)/5
Let g(n) be the second derivative of n**6/6 - 3*n**5/2 + 5*n**4/3 + 5*n**3 - 25*n**2/2 - 6*n. Factor g(d).
5*(d - 5)*(d - 1)**2*(d + 1)
Let w(q) be the third derivative of 0*q + 0 - 3*q**2 - 1/42*q**4 - 1/21*q**3 - 1/210*q**5. Factor w(g).
-2*(g + 1)**2/7
Factor 2 - 31*w + 37*w - 2 - w**2.
-w*(w - 6)
Let h(f) = -36*f**3 + 27*f**2 - 6*f - 15. Let s(x) = -5*x**3 + 4*x**2 - x - 2. Let d(g) = -2*h(g) + 15*s(g). Factor d(z).
-3*z*(z - 1)**2
Factor 0 - 4/9*q + 4/9*q**3 + 2/9*q**4 - 2/9*q**2.
2*q*(q - 1)*(q + 1)*(q + 2)/9
Suppose -2*s = 3 - 7. Solve 0*c + 1/3*c**s - 1/6*c**3 + 0 = 0 for c.
0, 2
Let x(v) be the first derivative of v**4/4 + v**3 - 6*v - 10. Let q(y) = 2*y**3 + 6*y**2 - 11. Let c(s) = -6*q(s) + 11*x(s). Let c(t) = 0. What is t?
-3, 0
Let i = 94/3 + -31. Let l(n) be the second derivative of 7/10*n**5 + 0 - i*n**4 - 4/15*n**6 + n + 0*n**2 - 1/3*n**3. Factor l(u).
-2*u*(u - 1)**2*(4*u + 1)
Let t be 8 - (3 + -5)/2. Let f be 3 - t/(-3) - 2. Factor -2/3*a**3 + 2/3*a + 1/3*a**2 - 1/3*a**f + 0.
-a*(a - 1)*(a + 1)*(a + 2)/3
Suppose 0 = 233*y - 229*y. Let 1/6*l**3 + y*l + 0 - 1/6*l**2 = 0. What is l?
0, 1
Let i(a) be the second derivative of 0*a**2 + 0 - 10*a + 1/12*a**3 - 1/24*a**4. Determine f so that i(f) = 0.
0, 1
Determine c, given that 5/3*c**2 + 5/3*c**3 + 5/6*c**4 + 1/6 + 5/6*c + 1/6*c**5 = 0.
-1
Let j(c) be the first derivative of 1/2*c**2 + 1/75*c**5 - 4 - 1/300*c**6 - 1/60*c**4 + 0*c + 0*c**3. Let k(y) be the second derivative of j(y). Factor k(d).
-2*d*(d - 1)**2/5
Let f(r) = -8*r**4 + 11*r**3 - 13*r**2 + 11*r + 6. Let k(l) = l**4 - l**3 + l**2 - l - 1. Let m(h) = -2*f(h) - 14*k(h). Suppose m(z) = 0. Calculate z.
1
Let i(w) = 10*w**2 + 25*w. Let p(o) = -5*o**2 - 12*o. Let x(b) = 3*i(b) + 5*p(b). Suppose x(h) = 0. Calculate h.
-3, 0
Let x = 31117/3 - 10164. Let h = x + -206. Solve 7/3*g + 2/3 - h*g**3 - 2/3*g**2 = 0.
-1, -2/7, 1
Suppose 0 = -2*g - 3*g + 10. Let 3*k - 4*k**2 + 5*k**3 - 2 - 4*k**3 + g*k = 0. Calculate k.
1, 2
Let m(u) be the third derivative of -u**8/12 + 8*u**7/21 - 3*u**6/5 + 4*u**5/15 + u**4/6 - 20*u**2. Solve m(x) = 0.
-1/7, 0, 1
Let o(j) be the first derivative of -j**4/4 + j**3 - j**2 + 26. Factor o(x).
-x*(x - 2)*(x - 1)
Let a = 149/1098 + -3/122. Let g(j) be the second derivative of 1/36*j**4 + 1/6*j**2 - 2*j + 0 - a*j**3. Factor g(c).
(c - 1)**2/3
Let i(q) = 3 - 54*q**2 + 4*q + 5 - 1 + 55*q**2. Let m(w) = -3*w + 0*w**2 - 10 + 4 - w**2. Let c(k) = 5*i(k) + 6*m(k). Factor c(s).
-(s - 1)**2
Suppose 4*g - x = -23, -4*x = 5*g + 16 - 3. Let s(r) = 4*r**3 - 4*r**2 - 7*r + 7. Let j(n) = 3*n**3 - 3*n**2 - 5*n + 5. Let m(t) = g*s(t) + 7*j(t). Factor m(w).
w**2*(w - 1)
Let d(a) be the third derivative of 0*a**4 + 0*a + 0 + 1/35*a**7 - 1/336*a**8 + 2/15*a**5 + 2*a**2 - 1/10*a**6 + 0*a**3. Factor d(u).
-u**2*(u - 2)**3
Suppose -m - 3*m + 12 = 0. Factor 3*p + 5*p**4 + 39*p**m + p**4 - 48*p**3.
3*p*(p - 1)**2*(2*p + 1)
Suppose -3*v - 2*t + 124 = 0, 0 = 5*v - 3*t - 13 - 181. Let c = -18 + v. Factor 0*s - 2*s - c*s**2 - 14*s**4 + 32*s**3 + 6*s.
-2*s*(s - 1)**2*(7*s - 2)
Let z(l) = -3*l**2. Let m(u) = -6*u**2. Let v(h) = -4*m(h) + 9*z(h). Factor v(x).
-3*x**2
Let s = 156 + -154. Find g such that -8/9*g - 8/9 - 2/9*g**s = 0.
-2
Let o(x) be the third derivative of 3*x**2 - 1/72*x**4 + 0*x + 0*x**3 + 1/360*x**6 + 0 + 0*x**5. What is j in o(j) = 0?
-1, 0, 1
Factor -3/5*i + 0 + 1/5*i**2.
i*(i - 3)/5
Let b(d) = -d**4 + d**3 - d**2. Let i(a) = -21*a**4 - 20*a**3 - 6*a**2 + 2*a. Let h(n) = -6*b(n) + 2*i(n). Find m s