0*g**3 + 0*g**2 + 0 + 2/15*g**6 + 0*g**4. Factor o(m).
2*m**3*(m + 1)**2
Suppose 10/9*c**2 + 2/9*c**4 + 8/9*c**3 + 4/9*c + 0 = 0. What is c?
-2, -1, 0
Let r(l) be the first derivative of l**7/168 + l**6/30 + 3*l**5/40 + l**4/12 + l**3/24 + 2*l + 4. Let n(g) be the first derivative of r(g). Factor n(o).
o*(o + 1)**4/4
Let x = -49 + 53. Let 0 + 2/3*i**3 - 2/3*i**2 - 2/3*i + 2/3*i**x = 0. Calculate i.
-1, 0, 1
Let f(i) be the first derivative of -i**3/3 + i**2 - 8. Factor f(x).
-x*(x - 2)
Let n(q) be the first derivative of 2*q**3/21 - 8*q**2/7 + 32*q/7 + 7. Let n(f) = 0. What is f?
4
Let z(f) = f**2 - 2*f + 1. Let a be z(-1). Factor g - 2/5 + 4/5*g**a - 2/5*g**2 - 4/5*g**3 - 1/5*g**5.
-(g - 2)*(g - 1)**3*(g + 1)/5
Let p(o) be the first derivative of -o**5/20 + o**4/16 + o**3/12 - o**2/8 - 18. Let p(w) = 0. Calculate w.
-1, 0, 1
Suppose -8 = -3*n + 2*n - 3*w, -2*n = 5*w - 14. Determine o, given that 6 - n*o - 4 - o + o**2 = 0.
1, 2
Let a(w) = 2*w**4 + w**3 + 3*w**2 + 2*w + 1. Let q(t) = 5*t**4 + 5*t**2 + 3 + 4*t - 2*t**4 + t**3 - 1 + 0. Let j(z) = -5*a(z) + 3*q(z). Solve j(i) = 0 for i.
-1, 1
Factor 4*n**5 - 4*n**4 + 5*n - 7*n + 2*n - 4*n**3 + 4*n**2.
4*n**2*(n - 1)**2*(n + 1)
Suppose -70 + 139 - 2*s**5 - 4*s**2 - 10*s**3 - 8*s**4 - 69 = 0. What is s?
-2, -1, 0
Solve 11 - 3*n**3 - 3*n - 11 + 6*n**2 = 0.
0, 1
Let f(o) be the first derivative of -4*o**6/33 + 2*o**5/55 + 6*o**4/11 - 2*o**3/3 + 2*o**2/11 - 11. Let f(w) = 0. What is w?
-2, 0, 1/4, 1
Suppose 4 = -0*y + 2*y. Factor -6*w - 1 + 6*w**2 + 0*w**y + 3 - 2*w**3.
-2*(w - 1)**3
Let l(v) = -v**3 + v**2 + v - 1. Suppose -3*i = i + 24. Let x(o) = 13*o**3 + 3*o**2 - 4*o + 6. Let p(z) = i*l(z) - x(z). Solve p(g) = 0.
-1, -2/7, 0
Factor -5*d**3 - 3*d + 8*d**3 + 0*d**4 - d**2 + 3*d**4 - 2*d**2.
3*d*(d - 1)*(d + 1)**2
Let l(o) be the first derivative of 0*o**5 + o**4 + 0*o**3 - 1/3*o**6 - o**2 - 1 + 0*o. Factor l(a).
-2*a*(a - 1)**2*(a + 1)**2
Factor 2/11*o**2 + 2/11 + 4/11*o.
2*(o + 1)**2/11
Let c = -89/2 - -45. Let 1 - 3/2*p + c*p**2 = 0. Calculate p.
1, 2
Suppose 4*r + 9 = -15. Let k be r/(-21)*21/12. Suppose 5/4*v - k + 11/4*v**2 + v**3 = 0. Calculate v.
-2, -1, 1/4
Let v = -70 + 632/9. Solve -v*j**2 - 2/9*j + 4/9 = 0.
-2, 1
Let q(f) be the third derivative of f**9/10584 + f**8/1960 + f**7/1470 - f**3/6 - 5*f**2. Let l(k) be the first derivative of q(k). Factor l(j).
2*j**3*(j + 1)*(j + 2)/7
Suppose -15 = 5*k - 5*a, 5*k - 3*a - 244 = -253. Suppose 0 = -2*t + 5*t. Determine v so that k + 0*v**4 + 0*v**2 + t*v - 2/3*v**5 + 0*v**3 = 0.
0
Let i be (-46)/10 - (-130)/26. Suppose 2/5*g**2 - i - 2/5*g**3 + 2/5*g = 0. What is g?
-1, 1
Let m(p) = p**2 + 2*p + 9. Let f(w) = -w + 1. Let y(n) = -6*f(n) + m(n). Let l be y(-8). Solve -24/5*o**4 + 0 + 0*o + 4/5*o**2 - 6/5*o**l - 14/5*o**5 = 0 for o.
-1, 0, 2/7
Let u = 33/70 + 1/35. Let v(a) be the first derivative of 0*a - 1 - 1/3*a**3 + u*a**2. Factor v(d).
-d*(d - 1)
Let l(g) be the second derivative of -686*g**6/15 - 637*g**5/5 - 126*g**4 - 184*g**3/3 - 16*g**2 + 4*g + 1. Factor l(p).
-4*(p + 1)*(7*p + 2)**3
Suppose 3*y + 0*y = 0. Let n(o) be the third derivative of o**2 + y*o - 1/72*o**4 + 0 + 0*o**3 - 1/180*o**5. Solve n(m) = 0.
-1, 0
Let v(t) be the first derivative of 3*t**3 + 5 + 0*t + 0*t**4 - 3/5*t**5 - 3*t**2. Factor v(p).
-3*p*(p - 1)**2*(p + 2)
Determine q, given that -4/9 + 14/9*q + 4/9*q**3 - 16/9*q**2 - 2/9*q**5 + 4/9*q**4 = 0.
-2, 1
Let i(z) be the first derivative of z**4/2 - 8*z**3/3 + 5*z**2 - 4*z + 4. Determine w, given that i(w) = 0.
1, 2
Let k(q) = q**3 + 7*q**2 + 10*q. Let w be k(-2). Find c such that 3/4*c**4 + w + 9/4*c**2 - 3/4*c - 9/4*c**3 = 0.
0, 1
Let k(l) = l**3 - 5*l**2 - 6*l. Let f be k(6). Factor -o**3 - 56*o**3 - 21*o**4 - 2*o**5 - 75*o**2 - 48*o - 12 - o**5 + f*o**2.
-3*(o + 1)**3*(o + 2)**2
Let z(x) = -x**2 - 2. Let k(b) be the third derivative of b**5/15 + 7*b**3/6 - b**2. Suppose 3*p - 2*p = 6. Let v(y) = p*k(y) + 22*z(y). Factor v(c).
2*(c - 1)*(c + 1)
Suppose 22 = d - 4*y, 5*y = 3*y - 10. Factor 0 + 16/7*f**3 + 2/7*f + 8/7*f**4 + 10/7*f**d.
2*f*(f + 1)*(2*f + 1)**2/7
Factor 17*r + 2*r**2 - 19*r + 1 - 3*r**2 + 2.
-(r - 1)*(r + 3)
Factor 33*s**3 - 12*s**3 - s**3 + 4*s**5 + 8*s**2 + 16*s**4 + 0*s**5.
4*s**2*(s + 1)**2*(s + 2)
Suppose 5*m + 0*m = 15. Solve m*r**2 - r**2 + 2 + 5*r - r**2 - 2*r = 0 for r.
-2, -1
Let u = 7/2 - 19/6. Find o such that -1/3*o + 0 - u*o**2 = 0.
-1, 0
Determine o, given that 6/7*o**2 + 216/7 + 72/7*o = 0.
-6
Let q(h) be the third derivative of 0*h**3 - 1/56*h**6 + 0*h + 3/70*h**5 + 0 + 8*h**2 - 1/56*h**4. Let q(n) = 0. Calculate n.
0, 1/5, 1
Let y(l) = 4*l**5 - l**4 + l**3 - 4*l**2 - 2*l - 1. Let m(u) = 5*u**5 - 2*u**4 + 2*u**3 - 4*u**2 - 3*u - 2. Let n(a) = -3*m(a) + 4*y(a). Factor n(d).
(d - 1)**2*(d + 1)**2*(d + 2)
Let s(r) be the second derivative of 1/3*r**2 - 1/9*r**3 + 1/30*r**5 - 1/18*r**4 + r + 0. Factor s(p).
2*(p - 1)**2*(p + 1)/3
Let j be (5 + -8)*(0 + -1). Suppose n + j*n = 0. Determine d so that n - 2*d**2 - 8/5*d**3 - 2/5*d = 0.
-1, -1/4, 0
Let y(a) be the third derivative of a**8/8064 - a**7/5040 - a**6/2160 - 5*a**4/24 - 2*a**2. Let n(d) be the second derivative of y(d). Solve n(v) = 0.
-2/5, 0, 1
Suppose -2*r = -4*r. Let q be r + (1 - -2) - -2. Suppose 3*x**5 - 3*x**4 - 4*x**q + 2*x**4 = 0. What is x?
-1, 0
Let l(c) = 2*c**3. Let o(p) = -p. Suppose 0 = -2*k + 6*k + 8. Let n(z) = k*o(z) - l(z). Factor n(w).
-2*w*(w - 1)*(w + 1)
Let t(w) = w. Let d be t(3). Suppose q**2 + 9*q**4 - 6*q**2 - 2*q - 3*q**5 + 7*q**d - 6*q**5 = 0. Calculate q.
-2/3, -1/3, 0, 1
Suppose -9 = -2*x - x. Let y = x + 1. Determine p, given that 2*p**y + 2*p**3 + 0*p + 0 + 2/3*p**2 + 2/3*p**5 = 0.
-1, 0
Let o be ((-4)/(-1032))/(2/724). Let x = -3/43 + o. What is r in x*r + 2*r**3 + 0 - 10/3*r**2 = 0?
0, 2/3, 1
Let c be (1 - 0)/(-2 - 11/(-2)). Determine y so that 0*y + 0 + c*y**4 + 4/7*y**3 + 2/7*y**2 = 0.
-1, 0
Let r(s) be the second derivative of -s**6/120 - s**5/60 - 5*s**2/2 - s. Let o(u) be the first derivative of r(u). Factor o(t).
-t**2*(t + 1)
Let z be (-79)/(-2) - (5 + (-3 - 3)). Factor -27/2*t**2 + 3/2*t**3 - 81/2 + z*t.
3*(t - 3)**3/2
Let u(r) = r**3 - 7*r**2 + 14*r - 8. Let p be u(4). Factor d + p + 3/2*d**2 + 1/2*d**3.
d*(d + 1)*(d + 2)/2
Let h(t) be the first derivative of -t**6/135 + t**5/180 - t**3 - 1. Let c(i) be the third derivative of h(i). Solve c(o) = 0.
0, 1/4
Suppose 0 = 3*t + 2 - 11. Determine u, given that -t*u**4 + u**2 + 6*u**3 + u**4 - 2*u**2 - 3*u**2 = 0.
0, 1, 2
Factor 1 + 24 + 20*g**2 + 14*g + 91*g.
5*(g + 5)*(4*g + 1)
Let v = 21 + -21. Let h(u) be the third derivative of v + 2*u**2 - 5/48*u**4 - 1/6*u**3 - 1/40*u**5 + 0*u. What is k in h(k) = 0?
-1, -2/3
Let v(a) = -4 + 0 - 3 + 7*a - a**2. Let n be v(5). Factor 2*j**3 - 2*j**n - j**5 + j**3.
-j**3*(j - 1)*(j + 1)
Let z(g) = 24*g**3 - 24*g**2 - 33*g - 33. Let o(w) = 3*w**3 - 3*w**2 - 4*w - 4. Let h(y) = 33*o(y) - 4*z(y). Solve h(n) = 0 for n.
0, 1
Let a = 26/7 + -97/28. Factor a*n**2 - 3/4 - 1/2*n.
(n - 3)*(n + 1)/4
Let h(a) be the third derivative of -a**6/120 + a**4/8 + a**3/3 + 13*a**2. Factor h(x).
-(x - 2)*(x + 1)**2
Let o(n) be the second derivative of n**6/75 - 3*n**5/100 + n**4/60 - 16*n. Solve o(a) = 0 for a.
0, 1/2, 1
Let o be (-1 - 0)*(1 - 4). Suppose -2/3*x**o + 0*x + 0 - 4/3*x**2 = 0. Calculate x.
-2, 0
Let u(p) be the third derivative of -p**9/211680 - p**8/35280 - p**7/17640 + p**5/12 + 6*p**2. Let q(t) be the third derivative of u(t). Factor q(f).
-2*f*(f + 1)**2/7
Let a(x) be the third derivative of -x**6/200 - x**5/20 - 7*x**4/40 - 3*x**3/10 + 18*x**2. Factor a(n).
-3*(n + 1)**2*(n + 3)/5
Let i be (-6)/(-27) + (-32)/(-18). Find p such that 0*p**i - 4*p**4 + 2*p + 2*p**4 - 2*p**3 + 2*p**2 = 0.
-1, 0, 1
Let u(k) be the second derivative of -2/15*k**6 + k - 1/5*k**5 + 1/2*k**2 - 1/8*k**4 + 0 - 1/24*k**3. Let z(m) be the first derivative of u(m). Factor z(i).
-(4*i + 1)**3/4
Suppose -r + 7 - 4 = 0. Determine l, given that 4*l - 4 - 2*l + r*l**2 - 3*l**2 + 2*l**2 = 0.
-2, 1
Let -29*k**3 + 27*k**3 + 4*k**2 + 0*k**2 = 0. Calculate k.
0, 2
Let m(k) = -3*k**4 - 3*k**2 - 2*k + 2. Let f(v) = v + 1. Let u be f(1). Let s(x) = -x**4 + x**3 - x**2 - x + 1. Let i(n) = u*s(n) - m(n). Factor i(o).
o**2*(o + 1)**2
Let y(a) be the thi