*u**2 + 2/5 - 8/5*u**a.
-2*(u - 1)*(2*u + 1)**2/5
Let c(l) be the third derivative of -l**2 + 0*l**3 + 0 - 9/40*l**6 + 0*l + 0*l**4 + 1/10*l**5. Solve c(v) = 0.
0, 2/9
Let k(j) = -j**3 - 7*j**2 - 7*j + 6. Let x be 2 + -1 - (6 - -1). Let u be k(x). Solve -18*f**3 - 10*f**5 + u*f**4 + 4*f**4 + 8*f**4 + 4*f**2 = 0 for f.
0, 2/5, 1
Let f = -4 + 4. Let y(b) be the second derivative of f - 2/3*b**3 - b - b**2 - 1/6*b**4. Factor y(m).
-2*(m + 1)**2
Let z(b) be the second derivative of -5/6*b**4 - 1/5*b**2 + 3*b - 2/3*b**3 + 0. Factor z(j).
-2*(5*j + 1)**2/5
Let k(d) be the second derivative of -d**7/84 - d**6/10 - 7*d**5/20 - 2*d**4/3 - 3*d**3/4 - d**2/2 + 36*d. Suppose k(q) = 0. What is q?
-2, -1
Let c(k) be the second derivative of 1/10*k**6 + 2/5*k**5 + 7/12*k**4 + 0*k**2 + 1/3*k**3 + 3*k + 0. Suppose c(o) = 0. What is o?
-1, -2/3, 0
Suppose 10 = 4*s - 5*m - 8, 3*s = 5*m + 16. Suppose -2 - 2 = -s*x. Let -2*y + 2*y**x - 4 + 4 = 0. Calculate y.
0, 1
Let w be 0/(-1)*(-9)/(-18). Suppose w = 3*m - 7 + 1. Solve l - 1/2*l**m + 0 = 0.
0, 2
Let f(y) = 3*y**5 + y**4 - 3*y**3 + y**2 + 4*y. Let p = 2 - -1. Let d(j) = -j**5 - j**2 - j. Let s(o) = p*f(o) + 6*d(o). Factor s(l).
3*l*(l - 1)**2*(l + 1)*(l + 2)
Let y = -242 - -2664/11. Find c such that 2/11*c**2 - y*c**3 + 0 + 0*c = 0.
0, 1
Let o = -22 + 20. Let n be o/14*(1 - 3). Factor 4/7*a - n*a**2 - 2/7.
-2*(a - 1)**2/7
Let x = 2352/25 - 94. Let y(z) be the first derivative of -2/5*z**3 - 1/5*z**2 + 0*z - 3/10*z**4 - x*z**5 - 2. Factor y(k).
-2*k*(k + 1)**3/5
Let t(z) be the third derivative of -z**6/140 - z**5/105 + z**4/84 + 3*z**2. Factor t(w).
-2*w*(w + 1)*(3*w - 1)/7
Let f be 1 - (-7)/(14/12). Let -4 + 2*u - u**2 + f - 3 = 0. What is u?
0, 2
Suppose 20*a - 56 = 6*a. Let u(o) be the second derivative of -1/15*o**5 - 1/18*o**a + o + 0*o**2 - 1/45*o**6 + 0*o**3 + 0. Let u(g) = 0. What is g?
-1, 0
Suppose 11 = 5*o + 5*f - 9, 3*o = -f + 10. Let -2*b**3 + 4 - 2*b**2 - 2*b**o - 3 - 2 + 4*b + 3*b**4 = 0. What is b?
-1, 1/3, 1
Let m = 67 + -65. Factor 14/5*p + m*p**2 + 4/5.
2*(p + 1)*(5*p + 2)/5
Factor -60*k**4 + 15*k**3 - 5*k**5 + 10*k**2 + 16*k**5 + 26*k**5 - 2*k**5.
5*k**2*(k - 1)**2*(7*k + 2)
Determine b, given that 241*b - 16*b**2 - 49*b + 4*b**3 + 64*b**2 + 256 = 0.
-4
Factor -4/3*q + 1/3 + 2*q**2 + 1/3*q**4 - 4/3*q**3.
(q - 1)**4/3
Factor 0*c + 0 - 8/3*c**4 + 10/3*c**3 - 2/3*c**2.
-2*c**2*(c - 1)*(4*c - 1)/3
Let n(x) be the second derivative of -x**9/15120 - x**8/3360 + x**7/2520 + x**6/360 - x**4/2 - 6*x. Let y(f) be the third derivative of n(f). Factor y(w).
-w*(w - 1)*(w + 1)*(w + 2)
Suppose l = 4*l + 4*o - 38, -l - 4*o = -10. Let h be 2/(3 - l/6). Solve -c**2 - 3*c + h - 4 + c = 0.
-1
Let n be 0 + -8*5/(-60). Determine p so that -2/3*p - n*p**2 + 0 = 0.
-1, 0
Let w(r) be the first derivative of r**6/27 - 2*r**5/15 - r**4/3 + 20*r**3/27 + 7*r**2/3 + 2*r - 7. Factor w(c).
2*(c - 3)**2*(c + 1)**3/9
Let d(c) be the first derivative of -c**3/3 - 43*c**2/8 + 11*c/4 - 35. Solve d(p) = 0 for p.
-11, 1/4
Let w(a) be the second derivative of 0*a**3 + a + 0*a**4 + 1/180*a**5 + 0 - a**2. Let x(k) be the first derivative of w(k). Let x(d) = 0. Calculate d.
0
Let g(j) be the third derivative of -j**8/840 + j**7/175 - j**6/100 + j**5/150 + 3*j**2 - 8. Factor g(n).
-2*n**2*(n - 1)**3/5
Let k = 294 - 294. Suppose k*j + 2/3*j**4 + 0 - 2/3*j**3 + 0*j**2 = 0. Calculate j.
0, 1
Let n(b) = -14*b - 182. Let h be n(-13). Find v, given that h + 0*v + 3/2*v**3 + 3/2*v**5 + 0*v**2 - 3*v**4 = 0.
0, 1
Factor -2/5*n**2 + 0*n + 1/5*n**5 + 2/5*n**4 - 1/5*n**3 + 0.
n**2*(n - 1)*(n + 1)*(n + 2)/5
Let g(f) = -f**3 + 4*f**2 + 2*f - 5. Let h be g(4). Determine y so that y + y**h + 2*y - 4*y = 0.
-1, 0, 1
Let t(g) = g**3 + 6*g**2 + 3*g - 6. Let o be t(-5). Let n be (-6)/21 - o/(-14). What is x in 0 + n*x + 2/5*x**3 - 2/5*x**2 = 0?
0, 1
Solve 33/2*g - 3/4*g**2 - 363/4 = 0 for g.
11
Suppose -4*t + 13 = -x, 7 + 7 = -3*t - 4*x. Suppose 4*u = -0*u + n + 11, -3*u + 5*n = -4. Suppose -5*q**2 - 1 + q**4 + u*q**2 + t = 0. What is q?
-1, 1
Let k(d) be the second derivative of 1/6*d**4 + 0 - 2/3*d**3 - 2*d + d**2. Factor k(y).
2*(y - 1)**2
Let q(w) be the second derivative of w**5/210 + w**4/63 + w**3/63 + 14*w. Find f, given that q(f) = 0.
-1, 0
Let q(x) = 2*x**4 + 6*x**3 + x**2 - 3. Let p(i) = 3*i**4 + 7*i**3 + 2*i**2 - 4. Let w(k) = 3*p(k) - 4*q(k). Factor w(v).
v**2*(v - 2)*(v - 1)
Let l = -5/141 + 193/141. Suppose -4/3*y**4 + l*y**2 + 4/3*y**3 + 0 - 4/3*y = 0. What is y?
-1, 0, 1
Let q be ((-15)/(-20))/((-1)/(-4)). Factor 3*f**2 + 2*f**2 - 2*f**q - 4*f**2.
-f**2*(2*f - 1)
Let c be (6/5 - 0)*280/126. Suppose 0 = -4*p + 4, 4*p = -4*x + 1 + 11. Factor -x*u + c*u**2 - 2/3.
2*(u - 1)*(4*u + 1)/3
Let x(v) be the first derivative of -3*v**5/20 + v**4/4 + 13*v**3/12 + 3*v**2/4 + 28. Find n, given that x(n) = 0.
-1, -2/3, 0, 3
Factor 0*c - 2*c**4 - c**2 + 1/2*c**5 + 5/2*c**3 + 0.
c**2*(c - 2)*(c - 1)**2/2
What is f in -20/7*f**2 - 40/7 + 108/7*f = 0?
2/5, 5
Suppose -3*w = -2*w - 7*w. Factor -2/5*h**2 + 0*h + w - 2/5*h**3.
-2*h**2*(h + 1)/5
Suppose 0*u = -3*u + 2*s + 1, u + 5*s = 23. Find m, given that 0*m + 0 - 1/2*m**2 + 1/2*m**u = 0.
0, 1
Suppose -z = 4 - 8. Solve 8*s**z - s**4 + 12*s**3 + 4*s - 6*s + 3*s**2 = 0 for s.
-1, 0, 2/7
Let u(b) be the second derivative of -b**4/78 - 2*b**3/39 - b**2/13 - 3*b. Factor u(c).
-2*(c + 1)**2/13
Let u(i) = i**2 - 4*i - 3. Let a be u(5). Determine t, given that -3*t**2 + 0*t**a + 4*t**2 = 0.
0
Factor -4/5 + 14/5*l - 18/5*l**2 + 2*l**3 - 2/5*l**4.
-2*(l - 2)*(l - 1)**3/5
Let g(c) be the third derivative of c**7/1120 - c**6/240 - c**5/160 + c**4/16 + 5*c**3/6 - 2*c**2. Let z(r) be the first derivative of g(r). Factor z(y).
3*(y - 2)*(y - 1)*(y + 1)/4
Let a(y) be the first derivative of -y**6/360 + y**5/60 - 5*y**3/3 - 4. Let h(m) be the third derivative of a(m). Suppose h(l) = 0. Calculate l.
0, 2
Let q(g) be the third derivative of g**7/630 - g**6/120 - g**5/20 - 5*g**4/72 - 5*g**2 - g. Factor q(l).
l*(l - 5)*(l + 1)**2/3
Let w = -2/119 + 127/476. Factor 0*i + 1/4*i**5 + 0 + 1/4*i**4 - 1/4*i**2 - w*i**3.
i**2*(i - 1)*(i + 1)**2/4
Let a(f) = -58*f + 234. Let x be a(4). Factor 2/5 + c - 1/5*c**3 + 3/5*c**x - 1/5*c**4.
-(c - 2)*(c + 1)**3/5
What is n in -72*n + 24*n - 2*n**2 + 27*n + 29*n - n**3 = 0?
-4, 0, 2
Let k(b) = 7*b**2 + 35*b + 2. Let u be k(-5). Solve -2/7*l**4 + 4/7*l**3 + 0 - 4/7*l + 2/7*l**u = 0 for l.
-1, 0, 1, 2
Factor 4*n**4 + 24*n**2 + 15 - 7 + 12*n**2 - 20*n**3 - 28*n.
4*(n - 2)*(n - 1)**3
Let -2/3*r + 0 + 2/3*r**2 + 2/3*r**3 - 2/3*r**4 = 0. What is r?
-1, 0, 1
Factor 2*t**2 - 10/3*t + 2/3*t**3 - 2/3*t**4 + 4/3.
-2*(t - 1)**3*(t + 2)/3
Let t(n) = -2*n + 1. Let u be t(-1). Suppose -3*m + 2*k = -12, m = 3*m + 5*k - 8. Solve 0*l + 0 + l**5 + 5/3*l**m + 0*l**2 + 2/3*l**u = 0 for l.
-1, -2/3, 0
Let u be (21 + 2 + -1)/1. Let d = u - 19. Factor 0*t**2 - 2/7*t + 0 + 2/7*t**d.
2*t*(t - 1)*(t + 1)/7
Factor -2*t**3 - 2*t**4 - 20*t**2 - 30*t**2 + 52*t**2 + 2*t**5.
2*t**2*(t - 1)**2*(t + 1)
Solve 0*m**2 + m**2 - 4*m**2 + 2*m + m**2 = 0.
0, 1
Let w = 46 + -4. Factor -98*j**3 - 8 - w*j - 81*j**2 - 31*j + 9*j - 73*j**2.
-2*(j + 1)*(7*j + 2)**2
Let j be (-37)/(-7) - (2/7 - 0). Factor 0*u**2 - 2/5*u**j + 0 + 0*u + 2/5*u**3 + 0*u**4.
-2*u**3*(u - 1)*(u + 1)/5
Let c(g) = g**2 + 10*g + 16. Let k be c(-8). Find b such that -b + k + 7*b**2 - 49/4*b**3 = 0.
0, 2/7
Suppose 16*f**2 + 5*f - f + 3*f**2 - 15*f**2 = 0. Calculate f.
-1, 0
Let w(t) = -5*t**4 + 19*t**3 + 21*t**2 - 8*t + 5. Let g(k) = -2*k**4 + 10*k**3 + 11*k**2 - 4*k + 3. Let y(j) = -10*g(j) + 6*w(j). Solve y(d) = 0.
-1, 0, 2/5, 2
Let q(b) be the second derivative of 0*b**2 - 2/21*b**7 - 1/6*b**4 - 1/3*b**3 + 1/15*b**6 + 3/10*b**5 + 0 - 2*b. Let q(g) = 0. What is g?
-1, -1/2, 0, 1
Let p be (4/(-10))/((-2)/20). Factor p*b**2 - 9*b**3 - 6*b**5 - 2*b**4 + 3*b - 4*b**2 + 3*b**2 - 13*b**4.
-3*b*(b + 1)**3*(2*b - 1)
Let a(z) be the second derivative of -2/9*z**2 + 1/54*z**4 - 2*z - 1/27*z**3 + 0. Let a(s) = 0. What is s?
-1, 2
Suppose -3*c = c - 60. Suppose -5*q = -0*q - c. Find s, given that s**3 - q*s**2 + 0*s**2 + 4*s**2 - 1 - s = 0.
-1, 1
What is r in -12/5*r**4 - 3/5*r + 3/5*r**3 + 0 + 12/5*r**2 = 0?
-1, 0, 1/4, 1
Solve 0 + 5/6*q**2 - 5/6*q**4 + 5/6*q**5 - 5/6*q**3 