
g**2*(g - 1)*(3*g - 1)/3
Let 21*m**3 - 9*m**4 + 3 - 1 + 4 - 6*m**4 + 9*m**2 - 21*m = 0. What is m?
-1, 2/5, 1
Suppose 21/8*n**3 + 0*n + 15/8*n**4 + 3/4*n**2 + 0 = 0. What is n?
-1, -2/5, 0
Let f(r) be the second derivative of r**7/12600 - r**6/1200 + r**5/300 - r**4/12 - 5*r. Let t(b) be the third derivative of f(b). Factor t(q).
(q - 2)*(q - 1)/5
Let g be ((-6)/(-7))/(3/21). Suppose 2*t = -t + g. Find i, given that -1/3*i**t + 0 + 1/3*i = 0.
0, 1
Let o(t) be the third derivative of t**7/735 - t**5/210 - 7*t**2. Factor o(f).
2*f**2*(f - 1)*(f + 1)/7
Suppose -6*y + 6*y**3 - 25*y**4 + 10*y**4 - 5*y**2 + 13*y**4 + 4 + 3*y**2 = 0. Calculate y.
-1, 1, 2
Let u be (-10087)/(-2520) - (0 - -4). Let t(w) be the third derivative of 0*w**3 - w**2 - u*w**6 - 1/180*w**5 + 1/630*w**7 + 1/72*w**4 + 0 + 0*w. Factor t(s).
s*(s - 1)**2*(s + 1)/3
Let p be 4/(-3) + (2 - (0 - 0)). Factor -p*j**2 + 2/3 + 0*j.
-2*(j - 1)*(j + 1)/3
Let p(q) be the first derivative of 0*q - 1/10*q**4 + 0*q**2 + 5 - 4/15*q**3. Let p(r) = 0. Calculate r.
-2, 0
Let t be -2*(-1)/(14/6 + -2). Suppose -10 = 2*y - 7*y. Factor 0*q**3 - 2*q**5 - q**4 - 9*q**4 - y*q**2 - t*q**3 + 4*q**4.
-2*q**2*(q + 1)**3
Let i(x) be the third derivative of x**7/11340 + x**6/810 + x**5/135 + x**4/24 + 2*x**2. Let s(z) be the second derivative of i(z). Factor s(n).
2*(n + 2)**2/9
Let t be (4 - 7) + 5 - -1. Find w, given that 0*w**3 + 3*w**3 - 3*w**2 - 4*w**t + 2*w**2 = 0.
-1, 0
Determine d so that 2/5 - 1/5*d - 1/5*d**2 = 0.
-2, 1
Let o(a) be the first derivative of 2 - 1/3*a**3 + 1/2*a**2 + 1/12*a**4 - 1/3*a. Suppose o(u) = 0. What is u?
1
Let m(h) be the first derivative of 3*h**3 - 3*h**2/2 - 6*h - 8. Determine y so that m(y) = 0.
-2/3, 1
Let j be ((-16)/9 - 0) + 2. Factor 8/9*o**2 + 2/3*o - j.
2*(o + 1)*(4*o - 1)/9
Let q(m) = 20*m**2 + 120*m + 292. Let t(r) = -13*r**2 - 80*r - 195. Let a(y) = 5*q(y) + 8*t(y). Let a(x) = 0. Calculate x.
-5
Determine o so that -12*o - 8*o**2 + 11*o**4 - 4 + 4*o**4 - 5*o**5 - 3*o**4 + 9*o**5 + 8*o**3 = 0.
-1, 1
Let a(v) = v - 1. Let z be a(5). Let m be z + -2 + 4 + -6. Factor m + 18/5*p**2 + 14/5*p**3 + 4/5*p.
2*p*(p + 1)*(7*p + 2)/5
Let c = -1/74 - -56/37. Let j be (4*1 - 2) + -2. Solve 0*k**2 + j*k - c*k**5 + 0*k**3 + 0 + 0*k**4 = 0.
0
Let b = -3/56 - -45/56. Suppose 3*r - 4 = -o + 5, -3*o = 2*r + 1. Factor b*i - 3/4*i**5 + 0*i**3 + 3/2*i**2 + 0 - 3/2*i**r.
-3*i*(i - 1)*(i + 1)**3/4
Let w be (-39)/(-9) + 5/(-15). Let q(c) be the third derivative of 1/24*c**w + 0*c**7 + 0 + 0*c**5 + 0*c + 0*c**3 + c**2 + 1/336*c**8 - 1/60*c**6. Factor q(t).
t*(t - 1)**2*(t + 1)**2
Let d(n) be the third derivative of 1/210*n**7 + 0 + 0*n + 3*n**2 + 1/48*n**4 - 1/60*n**5 + 0*n**3 - 1/672*n**8 + 0*n**6. Factor d(x).
-x*(x - 1)**3*(x + 1)/2
Let a(u) be the third derivative of u**7/42 - u**5/4 + 5*u**4/12 + 25*u**2. What is h in a(h) = 0?
-2, 0, 1
Let o be -2*(54/(-4))/9. Suppose -o*x + 3 + 3 = 0. Find f such that 49*f**4 - 245/4*f**3 - 1 + 5*f + 33/4*f**x = 0.
-2/7, 1/4, 2/7, 1
Let c be (-13)/(-20) - (-6)/8. Let y = -1 + c. Factor 0*w + 2/5*w**5 + 2/5*w**4 - y*w**2 - 2/5*w**3 + 0.
2*w**2*(w - 1)*(w + 1)**2/5
Let u(x) = -x**2 + 3*x + 2. Let s be u(3). Factor -5 + 6 - s*h**2 - 2*h - 1.
-2*h*(h + 1)
Let b(c) be the third derivative of c**6/240 + c**5/30 - c**2. Factor b(f).
f**2*(f + 4)/2
Let g = 10 - 5. Let s - 2*s**3 + 8*s**2 - 8*s**2 + s**g = 0. Calculate s.
-1, 0, 1
Let z(t) be the second derivative of -t**4/54 + 22*t**3/27 - 121*t**2/9 + 2*t. Factor z(o).
-2*(o - 11)**2/9
Let h(o) be the second derivative of -o**7/210 + o**6/75 - o**5/100 - 2*o - 5. Suppose h(m) = 0. What is m?
0, 1
Let h(z) be the third derivative of z**7/5040 - z**6/1440 - z**4/6 - z**2. Let v(b) be the second derivative of h(b). What is c in v(c) = 0?
0, 1
Let u be 2 + -2 - 1 - -4. Factor 6/7*f**u + 2/7*f**4 + 0*f**2 + 0 + 0*f.
2*f**3*(f + 3)/7
Let l(g) be the second derivative of 2*g**6/105 + g**5/35 - 18*g. Factor l(u).
4*u**3*(u + 1)/7
Find i such that 28*i**2 + 11*i**4 - 5*i**3 - 16*i**5 + 42*i - 46*i - 55*i**3 + 41*i**4 = 0.
0, 1/4, 1
Suppose 0 = -0*l + l. Let u be 2*(-9)/(-84)*20/15. Suppose l*d**3 + 0*d + 0 + 2/7*d**2 - u*d**4 = 0. What is d?
-1, 0, 1
Let j(q) = -q**3 - 8*q**2 - 8*q - 3. Let z(o) = -o - 2. Let a be z(5). Let u be j(a). Determine g, given that -4*g**5 + 4*g**2 - u*g**4 + g**5 + g**5 + 2*g = 0.
-1, 0, 1
Let h(w) be the second derivative of -w**5/95 - 5*w**4/114 - 4*w**3/57 - w**2/19 - 14*w. Find f, given that h(f) = 0.
-1, -1/2
Let n(d) be the first derivative of -d**4/4 + d**3/3 + d**2/2 + d - 1. Let s be n(0). Factor 2*o**2 - s - 2 + 3.
2*o**2
Suppose -2*f = 5*m - 24 - 3, -17 = 3*f - 4*m. Let g be f + -5 + 68/17. Factor -1/2 + g*j**2 + 1/4*j**3 - 3/4*j.
(j - 2)*(j + 1)**2/4
Let x(b) be the second derivative of b**4/60 - b**3/5 + 9*b**2/10 - 27*b. Suppose x(d) = 0. What is d?
3
Suppose 2*k - 4 = -0*k. Find r such that -1/3 - 4/3*r**3 - k*r**2 - 1/3*r**4 - 4/3*r = 0.
-1
Let y(d) be the first derivative of d**9/4536 - d**7/420 - d**6/270 + d**3 + 4. Let m(q) be the third derivative of y(q). Factor m(j).
2*j**2*(j - 2)*(j + 1)**2/3
Let w = -28 - -40. Let j be ((-9)/w)/(9/(-2)). Factor -j + 1/6*r**2 + 0*r.
(r - 1)*(r + 1)/6
Let b(q) = -q - 12. Let u be b(-14). Factor 1/4*l**3 + 3*l - u - 3/2*l**2.
(l - 2)**3/4
Let d(r) be the first derivative of 3*r**6/2 - 3*r**5 + 3*r**4/2 + 14. Let d(j) = 0. What is j?
0, 2/3, 1
Let y be 10/4*(-32)/(-40). Determine u so that 2/3*u**y + 2/3 - 4/3*u = 0.
1
Suppose 2*a + 0*a = 2*h - 8, -2*h = -5*a - 8. Suppose 0*q = 5*y - 2*q - 20, -h*y + q = -13. Factor o**3 - 4*o**4 + 3*o**4 - 4*o**3 - o - 3*o**y.
-o*(o + 1)**3
Let z(i) = -i**5 - i**4 + i**2 + i. Let w(a) = 3*a**5 - 2*a**4 + a**3 - a**2 - a. Let c(j) = w(j) + z(j). Factor c(k).
k**3*(k - 1)*(2*k - 1)
Let o = 36 + -36. Suppose o - 2/7*d - 2/7*d**2 = 0. Calculate d.
-1, 0
Let m = -1576 - -40991/26. Let c = -1/13 + m. Determine k so that -5/4*k**4 - 1/2*k + 0 + 5/4*k**2 + c*k**3 = 0.
-1, 0, 2/5, 1
Let y be 1/2*(-1 + 5). Factor 2/7*s + 2/7*s**y + 0.
2*s*(s + 1)/7
Let u be (-2)/(-5) - (-115)/25. Let -2*f**3 + 6*f**5 - 1 + f - f**4 + 0*f**4 + 2*f**2 - 5*f**u = 0. What is f?
-1, 1
Let s(h) = h**2 + 14*h + 5. Let f be s(-14). Let -2*w**2 + w**f + 16*w + 0*w**5 + 8*w**4 + 34*w**2 + 24*w**3 = 0. Calculate w.
-2, 0
Let z = 13 - 37/3. Factor 4/3*y**2 - 5/3*y - 1/3*y**3 + z.
-(y - 2)*(y - 1)**2/3
Let h(u) be the second derivative of -2/21*u**3 + 1/147*u**7 - 1/105*u**6 - 5*u + 0*u**2 - 3/70*u**5 + 5/42*u**4 + 0. Determine m, given that h(m) = 0.
-2, 0, 1
Let j be ((-3)/(-6))/((-1)/(-2)). Let i = 5 - j. Find u, given that -2*u**3 - 6*u**4 - 6*u**3 + 2 + i*u**2 + 3*u + 5*u = 0.
-1, -1/3, 1
Let z(o) be the second derivative of o**7/105 - o**6/225 - o**5/30 + o**4/90 + 2*o**3/45 - 35*o. Find w such that z(w) = 0.
-1, -2/3, 0, 1
Let m be 9/(-6)*3/(-270). Let r(x) be the third derivative of -3*x**2 + m*x**6 - 1/12*x**4 + 0 - 1/15*x**5 + 0*x + 2/3*x**3. Determine b, given that r(b) = 0.
-1, 1, 2
Let n be 1 + (-1)/(3/3). Let f(w) be the second derivative of -2*w - w**2 + 1/2*w**3 - 1/8*w**4 + n + 1/80*w**5. Let f(b) = 0. Calculate b.
2
Let z(c) = 4*c**4 - 8*c**3 + 4*c**2 + 6*c + 6. Let p(q) = q**4 + q**3 - 6*q + 1 - 2*q**3 + 7*q. Let w(i) = 6*p(i) - z(i). Factor w(g).
2*g**2*(g - 1)*(g + 2)
Let w be ((-7)/3 - -3)/((-60)/(-432)). Solve -12/5*r**2 - 16/5 - 2/5*r**3 - w*r = 0 for r.
-2
Let p(f) be the third derivative of -f**7/1680 - f**6/320 - f**5/160 - f**4/192 - f**2. Solve p(d) = 0.
-1, 0
Let b(p) be the third derivative of p**9/3024 + p**8/560 - p**6/90 - 2*p**3/3 - 5*p**2. Let w(r) be the first derivative of b(r). Let w(s) = 0. Calculate s.
-2, 0, 1
Let p = 13 - 12. Let n = 5/3 - p. Factor 0*f**4 + 1/3*f**5 - n*f**3 + 0*f**2 + 1/3*f + 0.
f*(f - 1)**2*(f + 1)**2/3
What is s in -2*s**2 + 6*s**2 + 5*s + 0*s + s**2 = 0?
-1, 0
Let o be (-2)/9 - (-3)/9. Let p(m) be the second derivative of 0*m**2 + o*m**4 - 1/9*m**3 + m - 1/30*m**5 + 0. Factor p(w).
-2*w*(w - 1)**2/3
Let l(h) = -h**4 + h**3 - 1. Let x(d) = 3*d**4 + d**3 - 2*d**2 - 6*d + 9. Let s(k) = -5*l(k) - x(k). Let s(n) = 0. What is n?
-1, 1, 2
Factor 4*l**3 - 4*l**4 - 12*l**4 + 4*l**5 + 0*l**4 + 12*l**3 + 8*l**2 - 20*l + 8.
4*(l - 2)*(l - 1)**3*(l + 1)
Let c(d) be the second derivati