/(-140)). Factor 2/7*v**2 + 2/7*v**g + 0 + 0*v - 4/7*v**3.
2*v**2*(v - 1)**2/7
Let g be (1 - 0)*(-34)/(-51). Factor 2/3*v**2 + 0*v - g.
2*(v - 1)*(v + 1)/3
Let y be ((-3 - -6) + 2)/(-1 + 2). Let x(j) be the first derivative of -16/7*j + 1 - 16/7*j**2 - 1/35*j**y - 8/7*j**3 - 2/7*j**4. Find i such that x(i) = 0.
-2
Suppose -3*o - 2*u - 4 = 0, -u - 8 = -5*o - 6. Let t(a) be the first derivative of 2/7*a**2 + 4 + o*a + 2/21*a**3. Suppose t(h) = 0. Calculate h.
-2, 0
Let o(x) be the third derivative of -2*x**2 + 1/70*x**7 + 1/2*x**4 + 3/10*x**5 + 1/10*x**6 + 1/2*x**3 + 0 + 0*x. Let o(b) = 0. What is b?
-1
Let 22/7*w**4 + 30/7*w**3 + 6/7*w**5 + 0 + 18/7*w**2 + 4/7*w = 0. Calculate w.
-1, -2/3, 0
Suppose -3/8*d**2 - 3/4*d + 3/4*d**3 + 3/8*d**4 + 0 = 0. Calculate d.
-2, -1, 0, 1
Suppose 24 = -2*u + 28. Let w(i) be the third derivative of 1/33*i**3 - 1/44*i**4 + 0*i + 0 - 2/165*i**5 + 3*i**u. Factor w(v).
-2*(v + 1)*(4*v - 1)/11
Suppose -2 = -2*d + 2. Let g(o) be the second derivative of -21/10*o**5 + 0*o**d + 0 + 4*o**4 - o - 4/3*o**3 - 49/15*o**6. Factor g(c).
-2*c*(c + 1)*(7*c - 2)**2
Let z(w) be the second derivative of w**7/3 - 2*w**6/15 - 7*w**5/5 + 2*w**4/3 + 7*w**3/3 - 2*w**2 - 7*w. Suppose z(c) = 0. Calculate c.
-1, 2/7, 1
Let w(u) = -u**2 + 4*u + 2. Let o be w(3). Solve o - 17 - 3*x**2 + 0*x - 12*x = 0.
-2
Let p(u) be the third derivative of -u**9/22680 + u**8/7560 - u**7/11340 + u**4/24 - 3*u**2. Let a(m) be the second derivative of p(m). Factor a(j).
-2*j**2*(j - 1)*(3*j - 1)/9
Let h be (-4)/(-6) + (-22)/33. Let t(u) be the second derivative of -1/3*u**2 + 1/6*u**3 - u + 0 - 1/60*u**5 + h*u**4. Factor t(k).
-(k - 1)**2*(k + 2)/3
Let z(v) = -v**3 - 5*v**2 + v + 5. Let d be z(-5). Determine f, given that d - 5*f**2 + 4 - 5*f**2 + 0*f**2 + 6*f = 0.
-2/5, 1
Let n be (-306)/(-24) + 2/8. Find q such that 29*q**2 - 4*q**3 - 13*q - 10*q - 5*q**2 - n*q = 0.
0, 3
Let w(j) be the third derivative of j**8/56 + 19*j**7/105 + 7*j**6/10 + 7*j**5/5 + 19*j**4/12 + j**3 - 41*j**2 + 1. Factor w(a).
2*(a + 1)**3*(a + 3)*(3*a + 1)
Let f(o) be the first derivative of 5*o**3/3 + 25*o**2/2 - 30*o - 3. Solve f(c) = 0.
-6, 1
Suppose 0 = m - 7 + 2. Suppose 10*d - m*d = 10. Factor -v**2 + 0*v**2 - 1 + 2*v**d.
(v - 1)*(v + 1)
Let a be (44/(-15) - -3)/((-3)/(-6)). Let n(j) be the first derivative of 0*j**3 - 1/9*j**4 + 0*j + 2 - a*j**5 + 0*j**2. Determine o, given that n(o) = 0.
-2/3, 0
Factor 4/3*m**2 + 4/3*m**3 - 4/3 - 4/3*m.
4*(m - 1)*(m + 1)**2/3
Let w(k) = -2*k - 5*k**2 + k**3 - 4 - 3 + 3*k**2 + 6. Let m be w(3). Find s, given that -1/2*s**3 + 0*s**m - 1/2*s**5 + 0 + 0*s + s**4 = 0.
0, 1
Let w(y) be the second derivative of -y**7/21 + y**6/15 + y**5/10 - y**4/6 + 9*y. Factor w(k).
-2*k**2*(k - 1)**2*(k + 1)
Let q(z) be the third derivative of -z**8/43680 + z**7/8190 + z**4/24 - 5*z**2. Let f(a) be the second derivative of q(a). Factor f(d).
-2*d**2*(d - 2)/13
Let d be 4/(0 - -12)*(-27)/(-12). Let i be ((-9)/(-6))/(4 + 2). Let -d*f**2 + 0 - 1/4*f**4 - i*f - 3/4*f**3 = 0. What is f?
-1, 0
Let z = -4/39 - -98/195. Let c(u) = u**2 - 4*u + 3. Let f be c(4). Solve 2/5*t**f - 2/5*t**2 - 2/5*t + z = 0 for t.
-1, 1
Let n = 6 - 2. Solve -8*q**3 - 11*q**3 - 25*q**5 + 23*q**2 - 55*q**4 - 5*q - n + 13*q = 0 for q.
-1, 2/5
Determine x, given that -5/6*x**2 + 5/2 - 5/3*x = 0.
-3, 1
Solve 0*q + 3/7*q**3 - 12/7 + 9/7*q**2 = 0.
-2, 1
What is p in 12*p + 8 - 2*p**3 + 4 - 4 - 2*p**3 = 0?
-1, 2
Let k(t) be the second derivative of -t**4/36 - t**3/6 + 9*t. Suppose k(l) = 0. Calculate l.
-3, 0
Let p(m) = -6*m**3 - 2*m - 4. Let k = -2 + 5. Let a(u) = 3*u - 11 - k*u + u**2 - 17*u**3 - 6*u. Let y(z) = 4*a(z) - 11*p(z). Solve y(n) = 0.
0, 1
Let y(q) = 3*q**5 + 3*q**4 + q**3 - q**2 + 2*q + 2. Let s(a) = -10*a**5 - 10*a**4 - 4*a**3 + 3*a**2 - 7*a - 7. Let h(j) = 2*s(j) + 7*y(j). Factor h(k).
k**2*(k - 1)*(k + 1)**2
Let d(l) be the third derivative of -1/120*l**5 + 0*l**3 + 0 + l**2 + 1/48*l**4 + 0*l. What is m in d(m) = 0?
0, 1
Let o(r) be the second derivative of 0 - 5*r + 0*r**4 - 1/50*r**5 + 0*r**2 + 1/15*r**3. Factor o(d).
-2*d*(d - 1)*(d + 1)/5
Let h(y) = 4*y**3 + 20*y**2 + 38*y + 22. Let f(x) = x - 1 - 2*x + 0*x. Let g(j) = -6*f(j) - h(j). Factor g(s).
-4*(s + 1)*(s + 2)**2
Let r(t) = -2*t**5 + 12*t**4 - 10*t**3 + 2*t - 2. Let m(n) = 5*n**5 - 35*n**4 + 29*n**3 - n**2 - 5*n + 7. Let i(z) = 4*m(z) + 14*r(z). Solve i(l) = 0.
-1/2, 0, 1, 2
Factor 8/3*b + 2*b**2 - 2/3*b**3 - 8.
-2*(b - 3)*(b - 2)*(b + 2)/3
Let h(b) be the first derivative of -b**3/24 - b**2/4 - 20. Suppose h(r) = 0. Calculate r.
-4, 0
Suppose 0 = 4*l - 2*l - 18. Let a be 9/(-6)*(-12)/l. Factor -3*o**a + 2 - 2 - 5*o - 3 - o.
-3*(o + 1)**2
Let s(f) be the second derivative of f**7/1680 - f**6/240 + f**5/120 + f**3/6 + 6*f. Let j(c) be the second derivative of s(c). Solve j(d) = 0.
0, 1, 2
Let c(u) be the first derivative of -u**4/18 - u**3/9 - u - 3. Let k(m) be the first derivative of c(m). Factor k(q).
-2*q*(q + 1)/3
Let w(u) = 2*u**3 - 17*u**2 + 62*u - 13. Let a(o) = -o**3 + 6*o**2 - 21*o + 4. Let d(k) = 17*a(k) + 6*w(k). Factor d(n).
-5*(n - 1)**2*(n + 2)
Let v(p) = 4*p**4 + 16*p**3 + 29*p**2 + 13*p + 13. Let t(r) = -r**4 - 4*r**3 - 7*r**2 - 3*r - 3. Let k(s) = -26*t(s) - 6*v(s). Factor k(q).
2*q**2*(q + 2)**2
Factor 0 + 2/3*n**2 + 0*n.
2*n**2/3
Let q(f) be the second derivative of f**7/42 - 4*f**6/75 - f**5/25 + f**4/6 - f**3/30 - f**2/5 - 6*f. Factor q(p).
(p - 1)**3*(p + 1)*(5*p + 2)/5
Let q(z) = 5*z**3 - 3*z**2 - 5*z + 3. Let g(p) = -40*p**3 + 25*p**2 + 40*p - 25. Let v(s) = 3*g(s) + 25*q(s). Factor v(b).
5*b*(b - 1)*(b + 1)
Let z be (15 + -7)*(-20)/(-48). Suppose -14/3*d**2 + 4/3*d - z*d**4 + 2/3*d**5 + 6*d**3 + 0 = 0. What is d?
0, 1, 2
Solve -9/7*f**2 - 15/7*f + 3/7*f**4 + 3/7*f**3 - 6/7 = 0 for f.
-1, 2
Suppose -36*h - 16 = -40*h. Factor -4 + 3*b + 10*b - 5*b + 4*b**h - 8*b**3.
4*(b - 1)**3*(b + 1)
Let 0 + 4/3*j**4 + 2*j**2 - 3*j**3 - 1/3*j = 0. Calculate j.
0, 1/4, 1
Let r(n) be the third derivative of n**2 + 0 + 0*n - 1/735*n**7 + 0*n**3 + 0*n**5 + 0*n**4 - 1/210*n**6. Find b, given that r(b) = 0.
-2, 0
Let h be -1 - -1 - (2 + -2). Suppose 0 = 4*o - 11 - 5. Factor h*x**2 + 0*x**2 - 2*x - o*x**2 - 2*x**3.
-2*x*(x + 1)**2
Let s(g) be the third derivative of -1/12*g**4 + 0 - 3*g**2 + 0*g + 0*g**5 + 1/180*g**6 + 2/9*g**3. Solve s(k) = 0.
-2, 1
Let g(k) be the third derivative of 0 + 0*k + 1/48*k**5 + 1/480*k**6 + 1/6*k**3 + 1/12*k**4 - 4*k**2. Find j such that g(j) = 0.
-2, -1
Let t(w) = w**3 - 13*w**2. Suppose -2*y + 0*y = -8, -4*a - 4*y + 68 = 0. Let n be t(a). Find x such that 0*x + 2/7*x**4 + 0 + 0*x**3 + n*x**2 = 0.
0
Let x(y) = 5*y**3 - 9*y**2 + 9*y - 2. Let d(n) = -26*n**3 + 46*n**2 - 46*n + 10. Let b(i) = -3*d(i) - 16*x(i). Factor b(a).
-2*(a - 1)**3
Let k be 0 - (3 + 96/(-30)). Factor -4/5*d**3 - 3/5*d**2 + 0 + k*d.
-d*(d + 1)*(4*d - 1)/5
Let k(p) be the first derivative of -1 + 7/2*p**4 + 6/5*p**5 - 4*p - 3*p**2 + 2*p**3. Suppose k(t) = 0. Calculate t.
-1, 2/3
Let w = 38 + -17. Suppose -2*g + 5*r + 5 = -w, -2*r = 2*g + 2. Solve -2*x**2 + 1/2*x**g - 1 + 5/2*x = 0.
1, 2
Let i be -4*(-6 + 2 - 15/(-4)). Let l(v) be the first derivative of -2*v**2 + 0*v + 10/3*v**3 - 2*v**4 + 2/5*v**5 - i. Suppose l(t) = 0. What is t?
0, 1, 2
Suppose 0 = l - 0 - 3. Factor -22*d**2 - 150*d**l - 224*d - 250*d**4 + 502*d**2 - 145*d**3 + 32 + 95*d**3.
-2*(d + 2)*(5*d - 2)**3
Factor 16/5*d + 8/5 - 2*d**2.
-2*(d - 2)*(5*d + 2)/5
Let d(a) be the second derivative of a**6/6 + 2*a**5 + 10*a**4 + 80*a**3/3 + 40*a**2 + 14*a. Find y such that d(y) = 0.
-2
Let k = 91 + -59. Let o = 34 - k. Factor -2/3*n**o + 0*n + 0.
-2*n**2/3
Factor -2/3*c**2 + 2/3*c + 0.
-2*c*(c - 1)/3
Let s(r) be the third derivative of r**9/83160 + r**8/18480 + r**7/13860 - r**4/12 - 4*r**2. Let l(d) be the second derivative of s(d). What is m in l(m) = 0?
-1, 0
Let b(c) be the third derivative of 1/10*c**5 + 0*c + 0 - 4*c**2 + 0*c**3 + 1/12*c**4. Factor b(i).
2*i*(3*i + 1)
Let g be (42/27)/(2/12). Let t(n) be the first derivative of 2 - 10*n**3 - 14/3*n**4 - 8/3*n + g*n**2 + 98/15*n**5. Solve t(o) = 0.
-1, 2/7, 1
Let u(p) be the third derivative of p**9/272160 - p**8/45360 + p**7/22680 + p**5/10 + 4*p**2. Let y(t) be the third derivative of u(t). Factor y(k).
2*k*(