ve -2/3*u**b - 2/3*u - 4/3*u**2 + 0 = 0.
-1, 0
Let m = 47 - 47. Let f(h) be the third derivative of -3*h**2 - 1/180*h**5 + 0*h + m - 1/36*h**4 + 0*h**3. Factor f(q).
-q*(q + 2)/3
Let r = 2 + 2. Suppose 3*d - r = d. Solve 0*q + 1/4*q**d - 1/4*q**3 + 0 = 0.
0, 1
Suppose 0 - 1/3*g + 4/3*g**2 = 0. Calculate g.
0, 1/4
Let c(h) be the second derivative of 0*h**2 + 0 + 2/27*h**3 + h - 1/90*h**5 - 1/54*h**4. What is m in c(m) = 0?
-2, 0, 1
Let w(o) be the third derivative of -2*o**7/315 - o**6/18 - o**5/15 + o**4/2 - 3*o**2. Let w(y) = 0. What is y?
-3, 0, 1
Let j(f) = -3*f**5 - 6*f**3 + 3*f + 6. Suppose -14 - 4 = -3*l. Let b(p) = -p**4 + p**3 + p**2 - 1. Let x(c) = l*b(c) + j(c). Factor x(n).
-3*n*(n - 1)*(n + 1)**3
Let i(j) be the second derivative of -7*j**5/270 - j**4/9 + 4*j**3/27 + j**2 + j. Let h(c) be the first derivative of i(c). Factor h(f).
-2*(f + 2)*(7*f - 2)/9
Let v be 2/(-6) + (-76)/(-3). Suppose j + 4*j - v = 0. Factor j*d**2 - 4*d**2 - 4 + 3*d - 3*d.
(d - 2)*(d + 2)
Let g = 7 + -5. Find c, given that 2*c**2 - 5*c + 4*c**g + 1 - 4*c**2 + 2*c**2 = 0.
1/4, 1
Let 0 - 1/6*y**2 + 1/6*y = 0. Calculate y.
0, 1
Let y(d) = d**2 + 1. Let t(n) = 2*n**3 - 8*n**2 + 4*n - 4. Let w(k) = -2*t(k) - 6*y(k). Factor w(m).
-2*(m - 1)**2*(2*m - 1)
Suppose 0*j = j. Let z(t) be the second derivative of -1/5*t**2 + 0*t**3 + 2*t + 1/30*t**4 + j. What is y in z(y) = 0?
-1, 1
Let h = -224 - -224. Factor 1/3*f**3 + h*f + 2/3*f**2 + 0.
f**2*(f + 2)/3
Let h = -15 + 17. Let i(a) be the first derivative of 1/9*a**3 - 4 + 0*a + 1/24*a**4 + 0*a**h - 1/10*a**5. Factor i(s).
-s**2*(s - 1)*(3*s + 2)/6
Let l(d) = -3*d**2 - d + 2. Let r(x) = -3*x**2 - 2*x + 1. Let w(z) = -4*l(z) + 5*r(z). Suppose w(v) = 0. Calculate v.
-1
Let i(f) = 4*f**2 + 8*f + 10. Let q(s) = 1. Let j(w) = -i(w) + 6*q(w). Factor j(r).
-4*(r + 1)**2
Let f(j) = -j + 3. Suppose 3*t + 20 = -4*h, -4 = -4*t + h + 1. Let b be f(t). Factor 4/3*w**b + 20/3*w - 4/3 - 17/3*w**2.
(w - 2)**2*(4*w - 1)/3
Let w be (-1)/(-1 - 7/(-56)). Factor -2*q**2 - 4/7*q + 2/7 - w*q**3.
-2*(q + 1)**2*(4*q - 1)/7
Let u(z) = -z + 1. Let y be u(-5). Factor -6*r**4 - 4*r**3 + 1 + 5*r**5 - 2*r**5 + 4*r**2 - 5*r**5 + y*r + 1.
-2*(r - 1)*(r + 1)**4
Let j be (-4 - 1580/(-228)) + -3. Let z = j - -256/399. Suppose -2/7 - 2/7*x**2 - z*x = 0. Calculate x.
-1
Let c(x) be the first derivative of x**6/27 - 4*x**5/45 - x**4/6 + 8*x**3/27 + 4*x**2/9 - 6. Find j, given that c(j) = 0.
-1, 0, 2
Let k(h) = h + 16. Let s be k(-13). Suppose 4*j = -n + 6, 4*j - 18 = 2*n + s*n. Factor 24*d**3 - 22*d**3 + d**4 + 0*d - j*d**2 - d - d**5 + 1.
-(d - 1)**3*(d + 1)**2
Factor 21/4*i**4 - 27/2*i**2 - 81/4*i + 3/4*i**5 + 15/2*i**3 + 81/4.
3*(i - 1)**2*(i + 3)**3/4
Let d be (2/(-5))/(7 - 180/25). Let -d - 9/2*v**2 + 10*v = 0. Calculate v.
2/9, 2
Factor 0*q - 3/5*q**4 + 6/5*q**3 + 0*q**2 + 0.
-3*q**3*(q - 2)/5
Let o = -383/3 - -94. Let l = 34 + o. Find y such that 2/3*y + 0 + y**2 + l*y**3 = 0.
-2, -1, 0
Let s(j) be the third derivative of -j**7/70 + j**6/8 - 9*j**5/20 + 7*j**4/8 - j**3 + 14*j**2. Determine v, given that s(v) = 0.
1, 2
Let c = 16 - 16. Suppose 4*f - 8 = -c*f. Solve 0*l + 1/2*l**f - 1/2 = 0 for l.
-1, 1
Suppose 0 = -3*n + 4*i + 10, -5*i + 0*i - 3 = n. Let o be ((-12)/(-126))/((1/(-3))/(-1)). Suppose 2/7*t**n + 0*t - o = 0. Calculate t.
-1, 1
Let v(w) = -w**2 - 6*w. Suppose 9*q + 4 + 50 = 0. Let u be v(q). Solve -2/9*i**3 + u*i + 0 + 2/9*i**2 = 0.
0, 1
Let g be ((2 + -2)/3)/(4/(-4)). Factor 0*x + g - 1/2*x**3 - 1/4*x**4 - 1/4*x**2.
-x**2*(x + 1)**2/4
Suppose -4*s - 3*n = 0, 3*s = s - 3*n. Let w(b) be the second derivative of s + 0*b**4 - 1/21*b**3 - b + 1/70*b**5 + 0*b**2. What is p in w(p) = 0?
-1, 0, 1
Factor 0*z + z**4 + 1/2*z**2 + 0 + 5/4*z**3 + 1/4*z**5.
z**2*(z + 1)**2*(z + 2)/4
Let v = 13 + -11. Factor -v*r**3 - 3*r**4 - 4*r**3 + 3*r**3 + 6*r**2.
-3*r**2*(r - 1)*(r + 2)
Let n(w) = 39*w**3 + 15*w**2 - 24*w. Suppose 4*q - 5*q = 24. Let z(r) = -8*r**3 - 3*r**2 + 5*r. Let y(f) = q*z(f) - 5*n(f). Solve y(l) = 0 for l.
-1, 0
Suppose 3*p - 7 = -4*p. Let m - p - 1/4*m**2 = 0. Calculate m.
2
Let b = -1 - -5. Suppose b = 2*n - 4. Factor 0*t + 0 - 2/3*t**2 - 2*t**n - 2*t**3 - 2/3*t**5.
-2*t**2*(t + 1)**3/3
Suppose 4*u - 2*u = 78. Let c = u + -69/2. Factor c*o**2 + 27/2*o + 1/2*o**3 + 27/2.
(o + 3)**3/2
Let g(z) be the first derivative of 1/9*z**3 + 1/12*z**4 + 0*z - 1/15*z**5 + 6 - 1/18*z**6 + 0*z**2. Factor g(p).
-p**2*(p - 1)*(p + 1)**2/3
Let b(q) be the first derivative of -q**7/105 + q**6/36 - q**5/45 + q**2/2 - 1. Let r(s) be the second derivative of b(s). Factor r(i).
-2*i**2*(i - 1)*(3*i - 2)/3
Let l = 3 - 2. Factor l - q**4 - q**2 + 3*q**3 - q - 2*q + 1.
-(q - 2)*(q - 1)**2*(q + 1)
Suppose 19 = 4*k + 19. Factor -18/5*x**3 + 24/5*x**2 + k - 8/5*x.
-2*x*(3*x - 2)**2/5
Suppose -d - 2 + 4 = 0. Factor -4*s**2 - 1 + 2*s + 4*s**2 - s**d.
-(s - 1)**2
Let t(i) be the first derivative of -1 - 1/2*i + 0*i**2 + 1/6*i**3. Factor t(z).
(z - 1)*(z + 1)/2
Factor -26*f**4 + 36*f**3 + 16*f**4 - 3*f + 16*f**5 - 34*f**4 - 4*f**2 - f.
4*f*(f - 1)**3*(4*f + 1)
Factor 1/6*s**3 - 1/6*s + 0 + 0*s**2.
s*(s - 1)*(s + 1)/6
Factor 0 + 1/4*t + 1/4*t**2.
t*(t + 1)/4
Suppose j**2 + 2*j**3 + 13*j**3 + j**3 - 5*j**2 - 7*j**4 = 0. What is j?
0, 2/7, 2
Find x, given that -1 + 2*x + x**4 - 2*x**3 - x**3 + x**3 = 0.
-1, 1
Factor 63*c - 54*c - c**2 + 4*c**2.
3*c*(c + 3)
Let p = -5 - -7. Solve 3*j**3 - 2*j**3 + 2*j**p - 2*j**3 + j - 2 = 0 for j.
-1, 1, 2
Let v(q) be the first derivative of q**8/420 - q**7/105 - q**6/90 + q**5/15 + q**3 - 3. Let c(j) be the third derivative of v(j). What is t in c(t) = 0?
-1, 0, 1, 2
Suppose -4*c = -9 - 19. Let m(d) = -d**3 + 8*d**2 - 8*d + 7. Let f be m(c). Solve 0*b**2 + 1/3*b**3 - 1/3*b + f = 0.
-1, 0, 1
Let t be (-48)/(-27) - (-2)/9. Let 0*z**2 + 0*z**t - 2*z**2 - 2*z**3 - 2*z**2 = 0. What is z?
-2, 0
Let v(b) be the third derivative of -b**8/60480 - b**7/7560 - b**5/15 + b**2. Let g(p) be the third derivative of v(p). Factor g(c).
-c*(c + 2)/3
Let l(s) = 28*s**4 + 48*s**3 + 12*s**2 - 8*s. Let t(n) = -140*n**4 - 240*n**3 - 60*n**2 + 40*n. Let c(j) = -16*l(j) - 3*t(j). Let c(w) = 0. What is w?
-1, 0, 2/7
Let n(s) be the second derivative of -s**6/210 + s**4/42 - s**2/14 - 20*s. Factor n(b).
-(b - 1)**2*(b + 1)**2/7
Let s(y) be the third derivative of -y**11/332640 + y**10/151200 + y**5/60 + 3*y**2. Let h(l) be the third derivative of s(l). Factor h(p).
-p**4*(p - 1)
Find t such that -1/4*t**2 + t - 3/4 = 0.
1, 3
Suppose -2*v = -5*f - 2 - 6, 2*v = f + 8. Let k(r) be the third derivative of 0 + 0*r - 1/12*r**3 + 1/32*r**v - 1/240*r**5 + 4*r**2. Factor k(w).
-(w - 2)*(w - 1)/4
Let a(t) be the third derivative of 1/42*t**4 + 0*t + 0 - 1/105*t**6 + 5*t**2 + 1/70*t**5 - 1/21*t**3 - 4/735*t**7. Factor a(j).
-2*(j + 1)**2*(2*j - 1)**2/7
Let r be ((-8)/(-6) + -2)*-3. Factor -3*z**5 - 4*z**4 - 3*z**4 + 2 + 24*z**r + 21*z + 4 + z**4 + 6*z**3.
-3*(z - 2)*(z + 1)**4
Let n = -698 + 698. Suppose -1/4 + 1/2*a**2 - 1/4*a**4 + n*a**3 + 0*a = 0. Calculate a.
-1, 1
Let k(n) be the first derivative of n**3 + 5*n**2 + 0*n + n - n**2 + 3 - 2*n**2. Factor k(y).
(y + 1)*(3*y + 1)
Factor 1 - 50*s**5 - 4*s**4 + 51*s**5 - 5*s + 4*s**3 + 2*s**2 + 1.
(s - 2)*(s - 1)**3*(s + 1)
Let t(d) be the first derivative of d**5/5 - d**4/6 - d**3/3 + d**2/3 + 6. Let t(w) = 0. What is w?
-1, 0, 2/3, 1
Suppose 20/3*c + 25/3*c**2 + 4/3 = 0. Calculate c.
-2/5
Let n = 9 - 6. Let 0 - 1/3*f**n - 4/3*f + 4/3*f**2 = 0. What is f?
0, 2
Determine a so that -3/2*a + a**3 + 1/2*a**5 + a**2 + 1/2 - 3/2*a**4 = 0.
-1, 1
Let w(l) be the third derivative of -l**6/720 + l**5/60 - 11*l**4/144 + l**3/6 - 2*l**2 + 13. Factor w(z).
-(z - 3)*(z - 2)*(z - 1)/6
Let g(p) be the second derivative of 1/4*p**4 - 8*p + 0 - 3/40*p**5 + 0*p**2 - 1/4*p**3. Determine b so that g(b) = 0.
0, 1
Let g be (12/10)/((-8)/(-20)). Let s(w) = w**2 - 2*w. Let c be s(g). Let -3*v**4 - 2*v + c*v**2 + 2*v**3 + 5*v**4 - 5*v**2 = 0. Calculate v.
-1, 0, 1
Let j(f) be the third derivative of -f**6/120 - f**5/60 + 5*f**4/12 - 4*f**3/3 + 2*f**2 - 7*f. Factor j(q).
-(q - 2)*(q - 1)*(q + 4)
Let r = -7 + -1. Let m be 25/20 + 6/r. Factor -m*w**3 + 2 - 4*w + 5/2*w**2.
-(w - 2)**2*(w - 1)/2
Let l(o) be the first derivative of -3 + 0*o**3 + 0*o + 1/8*