*3. Let b(x) = -7*x**3 - x**2 + 3*x + 5. Let a(y) = -b(y) + 4*j(y). Suppose a(v) = 0. Calculate v.
-1, -1/3, 1
Suppose 5*a = 3*j - 5, 5*j + 5*a + 0*a = -5. Suppose j = 4*v + 5*m - 31, 2*v - 5*v = -4*m. Factor -12*d**v + d**3 - 5*d**2 + 2*d**2 + 3*d**3 + 8*d**3.
-3*d**2*(2*d - 1)**2
Let i = 3 + -1. Solve -2 + 3*g - 2*g**3 + 0*g**i + 2*g**2 - g = 0.
-1, 1
Suppose 12*x + 2*x = 42. What is q in 8/5*q**x - 8/5*q - 4/5*q**2 + 0 + 4/5*q**4 = 0?
-2, -1, 0, 1
Let w(l) be the first derivative of l**7/1176 - l**6/360 - l**5/105 + l**4/42 + 5*l**3/3 - 6. Let v(j) be the third derivative of w(j). Factor v(a).
(a - 2)*(a + 1)*(5*a - 2)/7
Factor 0 - 1/2*m + 1/2*m**2.
m*(m - 1)/2
Let j(c) be the second derivative of -7/40*c**5 + 0*c**2 + 3/8*c**4 - 1/6*c**3 + 0 + 5*c. Factor j(w).
-w*(w - 1)*(7*w - 2)/2
Suppose -m = -1 - 13. Let n be (-4)/m + (-185)/(-35). Factor -8*j**5 + 0*j**2 - 6*j**4 + 4*j**4 + 10*j**n - 2*j**3 + 2*j**2.
2*j**2*(j - 1)**2*(j + 1)
Factor -1/7*q**4 + 0*q**2 + 0 + 0*q + 1/7*q**3.
-q**3*(q - 1)/7
Let g be (-89)/12*-3 + 1. Let i = g - 23. Factor 1/4*s**2 + i - 1/2*s.
(s - 1)**2/4
Suppose -5*a - k = -16, -14*a + 12*a - 5*k - 12 = 0. Solve -2/9*s**a - 8/9*s**3 - 8/9*s - 4/3*s**2 - 2/9 = 0.
-1
Let i(y) be the first derivative of -1 - 1/3*y**3 + 0*y - 1/4*y**2 - 1/8*y**4. Suppose i(v) = 0. What is v?
-1, 0
Let m be (1/(-6))/(-3*(-25)/(-90)). Find r, given that 0*r - m*r**2 + 0 = 0.
0
Suppose -20 = 3*v - 7*v. What is j in -v*j**3 - 3/2*j**5 + 0*j**2 + 5*j**4 + 5/2*j - 1 = 0?
-2/3, 1
Let a(w) be the third derivative of -w**7/35 + w**6/40 + 3*w**5/20 + 26*w**2. Find t such that a(t) = 0.
-1, 0, 3/2
Let b(o) be the first derivative of o**4/2 - 6*o**3/5 - 17*o**2/5 - 6*o/5 - 5. Factor b(x).
2*(x - 3)*(x + 1)*(5*x + 1)/5
Let q = 2993/20 - 597/4. Factor -q*g - 4/5*g**2 + 0 - 2/5*g**3.
-2*g*(g + 1)**2/5
Let o be (-1)/(4/(-2) + (-6)/4). Solve -o*s**2 - 2/7 + 4/7*s = 0.
1
Let i be 2/6 - 13/3. Let n be (-1)/4 + (-9)/i. Factor -2 - 2*s**n + 6*s + 2*s**3 - 3*s**2 - s**2.
2*(s - 1)**3
Let b(r) = r - 3. Let p be b(7). Suppose -6*y**3 - 5*y**3 - 2 + 6*y**2 + p*y + 3*y**3 + 0*y**2 - 8*y**4 = 0. Calculate y.
-1, 1/2
Let n(s) be the first derivative of s**3/9 + s**2/6 - 2*s/3 + 18. Factor n(h).
(h - 1)*(h + 2)/3
Let -h - 3/7 - 5/7*h**2 - 1/7*h**3 = 0. What is h?
-3, -1
Let w(o) be the first derivative of -4*o**5/15 - 2*o**4/3 + 4*o**3/3 + 8*o**2/3 - 16*o/3 - 12. Determine h, given that w(h) = 0.
-2, 1
Let i = 5 + 4. Let s be 3/i - 2/(-30). Suppose -s*n**2 + 0*n + 2/5*n**4 + 2/5*n**3 + 0 - 2/5*n**5 = 0. What is n?
-1, 0, 1
Let o(i) be the third derivative of 1/10*i**5 + 1/105*i**7 - i**2 - 1/20*i**6 + 0*i + 0*i**3 + 0 - 1/12*i**4. Factor o(g).
2*g*(g - 1)**3
Let v(i) be the third derivative of i**7/42 - i**5/12 - 12*i**2. Factor v(z).
5*z**2*(z - 1)*(z + 1)
Let d = -11 + 18. Factor 0*m + d*m**2 + 2 - 9*m + 0*m.
(m - 1)*(7*m - 2)
Let h(u) = u**2 - 4*u + 4. Let v be h(3). Factor 2 + x - v + x + x**2.
(x + 1)**2
Let y(n) be the third derivative of -n**7/1260 + n**6/180 - n**4/8 - 2*n**2. Let v(z) be the second derivative of y(z). Find i, given that v(i) = 0.
0, 2
Let f be (-6)/(-15)*(-10)/(-24). Let i(o) be the second derivative of 0*o**2 + 1/3*o**3 + 0 + o + f*o**4. Let i(n) = 0. What is n?
-1, 0
Suppose 0 = 4*o - 5*o + 4. Suppose -o*j - 15 = -9*j. Factor -p**4 + 2*p**2 + 2*p**3 + j*p**4 + 2*p**3.
2*p**2*(p + 1)**2
Suppose -3 = 9*f - 48. Solve 3/4*j**2 + 3/4*j**f - 3/4*j**3 + 0*j + 0 - 3/4*j**4 = 0 for j.
-1, 0, 1
Let m(h) = -h + 4. Let u be m(3). Let t = 78 - 52. What is p in u + 8*p - 10*p**2 + t*p**2 + 0 = 0?
-1/4
Let f(o) be the third derivative of o**9/60480 + o**8/10080 + o**7/5040 + o**5/60 + 2*o**2. Let k(n) be the third derivative of f(n). Factor k(i).
i*(i + 1)**2
Let q be (-130)/(-156)*(-18)/(-20). Factor 0 + 0*f + q*f**2 - 3/4*f**3.
-3*f**2*(f - 1)/4
Let c be 57/(-9) - 1/(-3). Let o = 8 + c. Let 34*h**3 - 35*h**3 + o*h + 3*h**2 + 1 - 5*h = 0. Calculate h.
1
Let h be 1/2 + (-12)/48. Factor 0*g**4 + h*g**3 + 0 + 0*g - 1/4*g**5 + 0*g**2.
-g**3*(g - 1)*(g + 1)/4
Let o be 20/(-70) - (-34)/70. Let g(l) be the third derivative of -1/210*l**7 + 0*l**3 - 1/3*l**4 + 0*l - o*l**5 - 1/20*l**6 - 2*l**2 + 0. Factor g(x).
-x*(x + 2)**3
Find l, given that 0 + 24/5*l + 75*l**5 - 165*l**4 - 204/5*l**2 + 126*l**3 = 0.
0, 2/5, 1
Let y(a) be the third derivative of -a**8/840 + a**7/180 - a**6/180 - a**5/60 - a**4/12 + 3*a**2. Let j(r) be the second derivative of y(r). Factor j(v).
-2*(v - 1)**2*(4*v + 1)
Suppose w - 35 = k + k, 85 = -4*k + 5*w. Let l be 6/k - 2/(-5). Solve 1/3*o**5 + 0*o + l*o**2 - 2/3*o**4 + 0*o**3 + 0 = 0 for o.
0, 2
Let p(q) = -7*q**5 + 19*q**4 + 18*q**3 + 23*q**2 + 4*q - 9. Let h(t) = t**5 - t**4 - t**2 + 1. Let x(c) = -18*h(c) - 2*p(c). Factor x(n).
-4*n*(n + 1)**3*(n + 2)
Let v(o) be the third derivative of -o**4/3 - o**3/6 + 4*o**2. Let s be v(-1). Factor -1 + s*g**2 + 2*g - 3 - 2*g**2 - 3*g**2.
2*(g - 1)*(g + 2)
Let w(g) be the first derivative of 2*g**3 + 0*g - 3/2*g**4 + 2/5*g**5 - g**2 - 5. Suppose w(q) = 0. Calculate q.
0, 1
Let t(a) = 3*a**2 - 24*a + 100. Let y(h) = 7*h**2 - 50*h + 200. Let n(f) = -5*t(f) + 2*y(f). Factor n(k).
-(k - 10)**2
Let t(u) be the third derivative of 3*u**2 + 0 + 1/60*u**5 + 0*u - u**3 - 7/24*u**4. Let q(j) = j**2 - 6*j - 5. Let v(f) = -6*q(f) + 5*t(f). Solve v(w) = 0.
0, 1
Let v(u) be the third derivative of u**5/20 + u**4/4 + u**3/2 + 13*u**2. Factor v(m).
3*(m + 1)**2
Let f = -230/7 - -34. Let j be -1*0/(0 + 9). Factor j - 2/7*r + 8/7*r**2 - 2/7*r**5 + f*r**4 - 12/7*r**3.
-2*r*(r - 1)**4/7
Factor 0 - 1/3*u**2 - 2/3*u.
-u*(u + 2)/3
Factor 100/3 - 12*y**2 - 20*y - 4/3*y**3.
-4*(y - 1)*(y + 5)**2/3
Factor -4/9*g + 4/9*g**2 - 8/9.
4*(g - 2)*(g + 1)/9
Let o = 3/56 - -47/168. Let y(n) be the second derivative of -o*n**3 - 3/10*n**5 + 0 - 2*n - 1/2*n**4 - 1/15*n**6 + 0*n**2. Factor y(f).
-2*f*(f + 1)**3
Suppose 17 = 4*n - 7. Let o be (2 - (3 - 2))*6. Find g, given that -g**2 - o*g + g**3 + n*g = 0.
0, 1
Let c(z) be the third derivative of -z**7/945 + z**6/135 - z**5/45 + z**4/27 - z**3/27 + 8*z**2. Find g, given that c(g) = 0.
1
Let f = -55 - -1321/24. Let w(q) be the third derivative of 1/6*q**3 + 1/240*q**5 - f*q**4 + 0 + q**2 + 0*q. Factor w(v).
(v - 2)**2/4
Let y = -17 - -24. Let v(c) = c - 5. Let j be v(y). Factor -1 + 26*w**3 + 3 + 6*w**4 + 14*w + 30*w**j + 2*w**4.
2*(w + 1)**3*(4*w + 1)
Let v(d) = d**2 - 2*d + 2. Let b be v(2). Let y = -2 + b. Factor -4*m**4 + y*m**4 - 8*m**2 - 2*m - 14*m**3 + 4*m**3.
-2*m*(m + 1)**2*(2*m + 1)
Suppose -o + 4 = -16. Suppose -3*w = 5*y + 1 + 3, 5*w - o = 5*y. Determine j, given that -j**w - j**3 + j**3 - j**3 = 0.
-1, 0
Let c(t) be the third derivative of t**7/945 + t**6/180 + t**5/135 + 7*t**2. Factor c(l).
2*l**2*(l + 1)*(l + 2)/9
Suppose h - 7*h - 210 = 0. Let n be (-21)/h + (-11)/(-15). Suppose n*a + 1/3*a**4 + 1/3 + 4/3*a**3 + 2*a**2 = 0. Calculate a.
-1
Let r = 12 - 6. Suppose -3*m = -3 - r. Suppose 20*j**3 + m*j**5 + j**5 + 2*j**5 + 4 - 10*j - 20*j**4 = 0. Calculate j.
-2/3, 1
Let c = -11/6 - -5/3. Let r = c - -2/3. Factor 0 + 0*x**2 + r*x - 1/2*x**3.
-x*(x - 1)*(x + 1)/2
Let z(i) be the first derivative of -2*i**5/5 + 3*i**4 - 6*i**3 + 46. Determine a so that z(a) = 0.
0, 3
Let x(c) be the first derivative of -c**6/3 - 2*c**5 - 4*c**4 - 8*c**3/3 + 4. Solve x(w) = 0.
-2, -1, 0
Factor 2/11*a**3 - 10/11*a**2 + 8/11*a + 0.
2*a*(a - 4)*(a - 1)/11
Factor -2*i**4 + 2*i - 4/3*i**3 + 2/3 + 4/3*i**2 - 2/3*i**5.
-2*(i - 1)*(i + 1)**4/3
Let j(s) be the first derivative of -3 + 1/4*s - 5/12*s**3 - 3/16*s**4 + 3/8*s**2 + 1/5*s**5. What is y in j(y) = 0?
-1, -1/4, 1
Let w(d) = -d + 30. Let x be w(10). Let l = x + -17. Find u such that 1/3*u**4 + 0*u + 0*u**l + 0 - 1/3*u**2 = 0.
-1, 0, 1
Let g(f) be the first derivative of f**8/2940 - f**6/210 - f**5/105 - 2*f**3 + 4. Let h(k) be the third derivative of g(k). Factor h(y).
4*y*(y - 2)*(y + 1)**2/7
Let y(i) be the first derivative of -1/6*i**4 - 1 - 1/9*i**6 + 0*i + 0*i**2 + 0*i**3 - 4/15*i**5. Let y(m) = 0. What is m?
-1, 0
Factor -2/9 - 2/9*d**3 - 2/3*d - 2/3*d**2.
-2*(d + 1)**3/9
Solve 2/5*v**2 + 4/5*v + 0 = 0.
-2, 0
Let w = -21 + 25. Let i(c) be the first derivative of 1/12*c**3 + 3/16*c**w + 0*c - 1/20*c**5 + 2 - 1/12*c**6 - 1/8*c**2. Le