*j - 8*j**4 - j**2 + 11/2*j**3 + 0 + 7/2*j**w = 0. What is j?
0, 2/7, 1
Suppose 0 = -3*t + 5*c + 22, -4*t + t + 6 = 3*c. Determine y so that 2*y**2 - y**2 - 2*y**3 + t*y**3 + y**4 = 0.
-1, 0
Let y(z) be the second derivative of z**5/50 + z**4/30 - 4*z**3/15 - 4*z**2/5 - 7*z. Factor y(n).
2*(n - 2)*(n + 1)*(n + 2)/5
Suppose -20 + 10 = -5*i. Solve -4/7*z**i + 0 - 2/7*z**3 + 6/7*z**4 + 0*z = 0.
-2/3, 0, 1
Suppose -23 + 7 = -4*n. Let i(f) be the third derivative of 1/420*f**7 + 1/240*f**6 + 0*f**3 + 0*f + 0*f**5 + 0 - f**2 + 0*f**n. Let i(l) = 0. What is l?
-1, 0
Let f = 40/3 - 13. Determine h so that 1/3*h**2 - f + 0*h = 0.
-1, 1
Let i(x) be the first derivative of -x**8/1008 + x**6/120 + x**5/90 + 2*x**2 + 1. Let a(k) be the second derivative of i(k). Solve a(t) = 0.
-1, 0, 2
Let h(l) = 315*l**4 + 1995*l**3 + 2220*l**2 + 680*l + 20. Let w(z) = 45*z**4 + 285*z**3 + 317*z**2 + 97*z + 3. Let c(j) = -3*h(j) + 20*w(j). Factor c(b).
-5*b*(b + 5)*(3*b + 2)**2
Let l be 232/957*27*(-1)/(-4). Factor 2/11 - 12/11*a + l*a**2.
2*(3*a - 1)**2/11
Suppose 3*i + 16 = 28. Let c(v) be the third derivative of -1/120*v**5 - 1/12*v**3 + 1/24*v**i + 0*v + 0 - v**2. Determine g so that c(g) = 0.
1
Let c(x) be the second derivative of x**7/280 - x**5/40 - x**3/3 - 2*x. Let g(t) be the second derivative of c(t). Find j, given that g(j) = 0.
-1, 0, 1
Let n(s) be the first derivative of 2/15*s**3 + 8/5*s + 1 + 4/5*s**2. Determine y, given that n(y) = 0.
-2
Solve 12*s**4 - 10*s**4 - 5*s**4 - 12 + 15*s**2 = 0.
-2, -1, 1, 2
Let n(i) be the second derivative of -i**5/60 + 5*i**4/18 - 16*i**3/9 + 16*i**2/3 + 37*i. Find t, given that n(t) = 0.
2, 4
Let u(g) = -g**3 - g - 1. Let c(n) = -16*n**3 + 4*n**2 - 20*n - 22. Let t(f) = -2*c(f) + 36*u(f). Factor t(w).
-4*(w - 1)*(w + 1)*(w + 2)
Let n(j) be the first derivative of 0*j + 1 + 1/6*j**2 + 2/9*j**3 + 1/12*j**4. Let n(g) = 0. What is g?
-1, 0
Let i(a) = 2*a**4 - 23*a**3 - 27*a**2 - 5*a + 5. Let r(d) = -3*d**4 + 45*d**3 + 54*d**2 + 9*d - 9. Let v(m) = -9*i(m) - 5*r(m). Factor v(f).
-3*f**2*(f + 3)**2
Let y be (-3 - -6)/((-3)/(-2)). Suppose -x = y*x. Suppose 3*j**3 + x*j**2 - 5*j**2 - 6*j + 2*j**2 = 0. Calculate j.
-1, 0, 2
Let p(d) be the first derivative of -5*d**3/3 + 5*d**2/2 + 30*d - 25. Factor p(m).
-5*(m - 3)*(m + 2)
Let s(f) be the first derivative of 7*f**6/24 + 9*f**5/20 - 5*f**4/16 - 3*f**3/4 - f**2/4 + 9. Determine k so that s(k) = 0.
-1, -2/7, 0, 1
Let 6/7*z**2 - 4/7*z + 1/7*z**4 + 1/7 - 4/7*z**3 = 0. What is z?
1
Let q be 1/5*16/84. Let n(f) be the third derivative of 0 + 0*f**3 - 1/10*f**6 + 0*f + 2/15*f**5 + q*f**7 - 1/12*f**4 + 2*f**2 - 1/168*f**8. Factor n(p).
-2*p*(p - 1)**4
Suppose -r + 4*r = 0. Suppose -5*v - 18 = -4*i - r*v, 4*v + 2 = -3*i. Factor 3*w**2 + 0*w - w**i - 2*w.
2*w*(w - 1)
Factor -2/9*w**2 - 4/9*w**3 + 16/9*w + 8/9.
-2*(w - 2)*(w + 2)*(2*w + 1)/9
Let n(m) be the first derivative of m**5/10 + m**4/2 + m**3 + m**2 + m/2 - 11. Factor n(y).
(y + 1)**4/2
Factor -72*n + 24*n**2 + 2*n**3 - n**3 + n**3 - 4*n**3.
-2*n*(n - 6)**2
Find t, given that 0 + 0*t + 2/5*t**3 + 1/5*t**5 - 3/5*t**4 + 0*t**2 = 0.
0, 1, 2
Let q(l) be the second derivative of -l**6/360 + l**5/60 - l**4/24 + l**3/6 - 4*l. Let u(b) be the second derivative of q(b). Let u(x) = 0. What is x?
1
Let y(s) = -s - 4. Let n be y(-10). Let d = 203/5 - 599/15. Factor -n + 4*g - d*g**2.
-2*(g - 3)**2/3
Suppose 2*q - 4 = 18. Let t(a) = 3*a**2 - 3*a - 2. Let y be t(-1). What is o in -15*o**2 + 9*o + 0 - 3*o**y - 2 + q*o**3 + 0*o**4 = 0?
2/3, 1
Suppose -t + c - 14 = -4*t, -2*t = c - 11. Suppose 5*l - y - t = 0, -3*y = -l - 2*l + 9. Suppose i - 3/2*i**2 + 0*i**3 + 1/2*i**4 + l = 0. Calculate i.
-2, 0, 1
Factor -1/2*g**2 - 1/2 - g.
-(g + 1)**2/2
Factor 0*x**3 + 1/2*x**5 + 0*x**2 + 0 + 0*x + 1/2*x**4.
x**4*(x + 1)/2
Let w(p) be the third derivative of -p**7/280 - p**6/480 + p**5/80 + p**4/96 - 35*p**2. Let w(k) = 0. What is k?
-1, -1/3, 0, 1
Suppose 0 = -q - 1 + 5. Let t**2 + 13*t**4 - 3*t**3 + t - 14*t**q + 2*t**3 = 0. What is t?
-1, 0, 1
Let q = 26 - 24. Let 0*r + 2/3*r**5 - 2*r**4 + 2*r**3 + 0 - 2/3*r**q = 0. What is r?
0, 1
Let n(j) be the second derivative of j**5/140 - 2*j**3/21 + 35*j. Let n(y) = 0. Calculate y.
-2, 0, 2
Let s(f) be the second derivative of -f**5/60 - f**4/36 + 2*f**3/9 + 2*f**2/3 - 23*f. Factor s(t).
-(t - 2)*(t + 1)*(t + 2)/3
Let l be 12/18 + (-754)/(-168). Let c = -40/21 + l. Suppose -2*v**4 + 11/4*v**3 + c*v**2 - v**5 - 4*v + 1 = 0. Calculate v.
-2, 1/2, 1
Let h = 6 - 4. Let 1 - u**h - u**2 + 1 = 0. What is u?
-1, 1
Let i(b) be the third derivative of b**6/30 - b**5/3 + 4*b**4/3 - 8*b**3/3 + 6*b**2. Factor i(n).
4*(n - 2)**2*(n - 1)
Factor -3 + 4 - 5 + d**2 + 2 - d.
(d - 2)*(d + 1)
Find x, given that -x + 1/3*x**2 + 2/3 = 0.
1, 2
Let z = 372 + -370. Factor 5/6*c + 1/3 - 1/6*c**4 - 1/6*c**3 + 1/2*c**z.
-(c - 2)*(c + 1)**3/6
Let z(k) be the first derivative of k**6/900 + k**5/75 + k**4/20 - 2*k**3/3 - 3. Let b(v) be the third derivative of z(v). Determine j, given that b(j) = 0.
-3, -1
Let w(t) be the third derivative of -3*t**2 + 0*t**3 + 1/60*t**5 + 0*t - 1/24*t**4 + 0. Find p such that w(p) = 0.
0, 1
Let p(b) be the first derivative of -4*b**3 + 3*b**2 + 21*b - 3. Let c(q) = -q**2 + q + 1. Let v(a) = 15*c(a) - p(a). Let v(n) = 0. Calculate n.
1, 2
Suppose j + u + 1 = 2*j, 2*j - 5*u + 10 = 0. Let i be j/3*1*3. Determine y, given that 3 - 5 + i - 3*y**2 = 0.
-1, 1
Let s(c) be the third derivative of -5*c**7/231 + c**6/22 + c**5/30 - c**4/11 - 4*c**3/33 - c**2. Factor s(d).
-2*(d - 1)**2*(5*d + 2)**2/11
Let l be ((-2)/(-4))/((-10)/(-60)). Factor 1 - 1/2*z**l - z**2 + 1/2*z.
-(z - 1)*(z + 1)*(z + 2)/2
Let n = 841 - 2521/3. Solve 0 - 4/3*i + 2/3*i**2 - n*i**4 + 4/3*i**3 = 0.
-1, 0, 1, 2
Let n(k) be the first derivative of -k**5/20 + k**3/12 + 4. Factor n(y).
-y**2*(y - 1)*(y + 1)/4
Factor -2*a**3 - 15 - a**3 - a**3 - 16*a**2 + 7 - 20*a.
-4*(a + 1)**2*(a + 2)
Determine j so that -2/5*j + 9/5*j**2 + 0 = 0.
0, 2/9
Let b be 360/56 + 2/2 + -6. Factor 2/7*r + 0 + 6/7*r**3 + b*r**2 - 18/7*r**4.
-2*r*(r - 1)*(3*r + 1)**2/7
Let j(q) be the first derivative of -q**7/735 - q**6/140 - q**5/70 - q**4/84 + 2*q**2 + 3. Let x(y) be the second derivative of j(y). Factor x(p).
-2*p*(p + 1)**3/7
Let q(a) be the third derivative of -a**7/1260 - a**6/720 + 6*a**2. What is x in q(x) = 0?
-1, 0
Let r(n) = n**3 + n**2 - n. Let k(x) = -81*x**4 + 40*x**3 - 4*x. Let h(i) = -k(i) + 4*r(i). Suppose h(g) = 0. What is g?
0, 2/9
Let n = 12 - 10. Suppose 0 = -n*x - 3*u + 7, u + 3 = 4*x - 4*u. Factor -2/3*p**x + 2*p - 4/3.
-2*(p - 2)*(p - 1)/3
Let l = -5/54 - -77/54. Factor 0 + 2/3*d**4 + l*d - 4/3*d**3 - 2/3*d**2.
2*d*(d - 2)*(d - 1)*(d + 1)/3
Factor 1/4*z**4 + 0 + 0*z**2 - 1/2*z**3 + 0*z.
z**3*(z - 2)/4
Factor 15*l**3 - 5*l**2 - 3*l**2 - 11*l**3.
4*l**2*(l - 2)
Let a be 10/5 + 251/(-126). Let b(f) be the second derivative of 0 - 1/36*f**4 + 1/90*f**6 - 1/60*f**5 - f + 0*f**2 + 0*f**3 + a*f**7. Solve b(h) = 0.
-1, 0, 1
Let f(z) be the first derivative of z**6/10 - 3*z**5/20 - z**4/4 + z**3/2 - 4*z - 1. Let p(j) be the first derivative of f(j). Factor p(y).
3*y*(y - 1)**2*(y + 1)
Let s(t) = t**2 - 2*t - 15. Let h be s(5). Factor 0 - 1/2*u**4 - u**3 - 1/2*u**2 + h*u.
-u**2*(u + 1)**2/2
Let m(t) = t**2 + t. Let k(a) = -4*a**2 - 4*a + 1. Suppose -5*v + 20 = -10*v + g, 5*v - 2*g = -20. Let q(s) = v*k(s) - 14*m(s). Factor q(c).
2*(c - 1)*(c + 2)
Let c(k) be the second derivative of k**4/24 - k**3/2 - 7*k**2/4 + 14*k. Suppose c(m) = 0. What is m?
-1, 7
Let d be 2/80*9 - 1/5. Let a(w) be the second derivative of -w + 0 - 5/24*w**4 - 2/3*w**3 - w**2 - d*w**5. Solve a(i) = 0 for i.
-2, -1
Let b(m) = -m + 5. Let x be b(1). Let 3/5*l**3 - 3/5*l**x + 3/5*l**2 - 3/5*l + 0 = 0. Calculate l.
-1, 0, 1
Solve -6 - 15*p**3 + 3*p - p**2 + 0*p**2 + 7*p**2 + 12*p = 0 for p.
-1, 2/5, 1
Let c(l) = -6*l**4 - 3*l**2 + 4. Let t(o) = o**4 + o**2 - 1. Let k(d) = -2*c(d) - 10*t(d). Solve k(g) = 0.
-1, 1
Let t(l) = -l + 6. Let u be t(3). Suppose 3*s - 7*s + 12 = -3*d, s = u*d + 3. Factor -2/3*w**2 + 2/3*w**4 + d + 0*w**3 + 0*w.
2*w**2*(w - 1)*(w + 1)/3
Let x(h) = 6*h - 6. Let w be x(3). Factor w*g**4 - 10*g**3 - 6*g**2 - 3*g**5 - 2*g**3 - 5*g - 6 + 20*g.
-3*(g - 2)*(g - 1)**3*(g + 1)
Let q 