/3*j = 0. What is j?
1/4, 3
Let f(n) be the first derivative of -2/5*n**2 - 1/3*n**3 - 2*n - 2 + 7/30*n**4. Let b(i) be the first derivative of f(i). Factor b(d).
2*(d - 1)*(7*d + 2)/5
Let 3*x - 5/3 - 1/3*x**3 - x**2 = 0. What is x?
-5, 1
Determine o, given that 0 + 0*o + 1/6*o**4 - 1/6*o**3 - 1/3*o**2 = 0.
-1, 0, 2
Factor -4*u - 4*u**3 + 23 - 8*u**2 - 23.
-4*u*(u + 1)**2
Let t(g) = -g**4 + g**3 + g**2 - g + 3. Let i(h) = -3*h**4 + 3*h**3 + 3*h**2 - 3*h + 8. Let o(y) = 3*i(y) - 8*t(y). Factor o(b).
-b*(b - 1)**2*(b + 1)
Factor 4/11*f + 0 + 6/11*f**2.
2*f*(3*f + 2)/11
Suppose -v - v - 4*y = 34, -2*v - 33 = 3*y. Let h be ((-10)/v)/(2/6). Determine z, given that 3*z**h - z**2 + 0*z**2 = 0.
0
Let c be (-7)/(-21) + (-1)/3. Let s(j) be the second derivative of -1/8*j**3 + c*j**2 - 1/8*j**4 - 3*j + 0 - 3/80*j**5. Factor s(x).
-3*x*(x + 1)**2/4
Let l(p) be the first derivative of -2*p**5/5 + p**4/2 + 2*p**3 - p**2 - 4*p - 7. What is z in l(z) = 0?
-1, 1, 2
Factor 6/5*b + 0*b**2 - 2/5*b**3 + 4/5.
-2*(b - 2)*(b + 1)**2/5
Factor -12*q + 41*q - 28*q**4 - 110*q**3 + 6*q**3 + 3*q - 80*q**2.
-4*q*(q + 2)**2*(7*q - 2)
Let b = 2 + -5. Let u = b - -6. Factor 2/7*i + 2/7*i**u + 0 + 4/7*i**2.
2*i*(i + 1)**2/7
Let y be (-2)/(-5) + (26/10 - 3). Suppose -1/2*u**3 - 1/2*u**4 + y + 1/2*u**2 + 1/2*u = 0. Calculate u.
-1, 0, 1
Let c(q) = -q**3 + q**2 - q + 4. Let w be c(0). Factor -3*g**3 + 4*g**3 - 6 + 6*g**2 + 3*g - w*g**3.
-3*(g - 2)*(g - 1)*(g + 1)
Let v(b) be the first derivative of -9*b**6/20 + 17*b**5/10 - 7*b**4/3 + 4*b**3/3 + 5*b**2/2 + 4. Let p(i) be the second derivative of v(i). Factor p(q).
-2*(q - 1)*(3*q - 2)*(9*q - 2)
Let a(s) = 9*s**2 + 8. Let c(f) = -f**2 - 1. Let y(i) = 6*a(i) + 51*c(i). Factor y(d).
3*(d - 1)*(d + 1)
Suppose 6 + 0 = -2*q. Let z be q/(-6*(-2)/(-8)). Factor 4/5*s - 4/5*s**3 + 0*s**z + 2/5 - 2/5*s**4.
-2*(s - 1)*(s + 1)**3/5
Let w(x) be the second derivative of -x**3/6 + x. Let u = 11 - 15. Let t(g) = 4*g**2 - 7*g - 1. Let y(v) = u*w(v) + t(v). What is s in y(s) = 0?
-1/4, 1
Let p(v) = 4*v**2 + 3*v**3 - 3*v + 3 - 4*v**3 - v. Let o be p(3). Factor 0*c**4 - 6/5*c**3 + o*c + 0 + 8/5*c**5 - 2/5*c**2.
2*c**2*(c - 1)*(2*c + 1)**2/5
Let p(k) be the third derivative of -k**7/2100 - k**6/450 - k**5/300 - k**3/3 + 3*k**2. Let n(i) be the first derivative of p(i). Factor n(o).
-2*o*(o + 1)**2/5
Let p(x) = x**2 + 1. Let c(v) = 5*v**2 - 8*v + 7. Let w(b) = -2*c(b) + 14*p(b). Suppose w(d) = 0. What is d?
-4, 0
Let d = 33/13 + -193/117. Factor 0*b + 0 - 16/9*b**3 + 10/9*b**4 - 2/9*b**5 + d*b**2.
-2*b**2*(b - 2)**2*(b - 1)/9
Let h = -18 - -43. Let a = 28 - h. Let 0 - 4/5*c - 2/5*c**a + 6/5*c**2 = 0. What is c?
0, 1, 2
Let l(f) be the second derivative of -f**7/105 + f**5/30 + 3*f**2 + f. Let k(u) be the first derivative of l(u). Factor k(w).
-2*w**2*(w - 1)*(w + 1)
Let m(f) = 24*f**2 - 72*f - 63. Let p(c) = 3*c**2 - 9*c - 8. Let r(s) = 4*m(s) - 33*p(s). Factor r(t).
-3*(t - 4)*(t + 1)
Let j(u) = u**2 - u + 1. Let t(i) = 3*i**3 + 10*i**2 + 29*i + 7. Let w = 38 - 23. Let r = -10 + w. Let h(g) = r*j(g) + t(g). Solve h(z) = 0.
-2, -1
Let o(d) be the third derivative of -1/24*d**4 + 3*d**2 + 0*d**3 + 0*d - 1/60*d**5 + 1/120*d**6 + 0 + 1/210*d**7. Factor o(m).
m*(m - 1)*(m + 1)**2
Suppose -4*h + 11 = -29. Determine z so that -4*z + h*z - 3 - 3*z**2 + 0*z = 0.
1
Let p(i) be the third derivative of -i**11/221760 - i**10/60480 - i**9/60480 - i**5/20 + 2*i**2. Let u(r) be the third derivative of p(r). Factor u(s).
-s**3*(s + 1)*(3*s + 2)/2
Let k(w) = -2*w**2 + 7. Let i be 2*(3 - (-2)/(-1)). Let t(v) = v**2 - 3. Let h(n) = i*k(n) + 5*t(n). Suppose h(q) = 0. What is q?
-1, 1
Let f(k) be the first derivative of 2*k**3/3 - 6*k**2 + 10*k + 13. Solve f(m) = 0.
1, 5
Let s be (-1 + 2)/(-1) - -4. Suppose s*u = 4*u. Determine q so that -1/3*q**2 + u*q + 0 = 0.
0
Let g(t) = -t + 2. Let h be g(-4). Let f = h - 2. Let -7*o + 2 - 5*o**3 + o**4 + 9*o**2 - 2*o**f + 2*o**4 = 0. Calculate o.
1, 2
Let s = -48341/7 - -6947. Determine i, given that s*i**4 + 0 + 18*i**5 + 226/7*i**3 + 8/7*i + 72/7*i**2 = 0.
-1, -2/3, -1/3, -2/7, 0
Let x(i) be the first derivative of i**6/45 + i**5/12 + i**4/12 - 2*i**3/3 - 4. Let v(b) be the third derivative of x(b). Factor v(j).
2*(j + 1)*(4*j + 1)
Let n(h) = -h - 1. Let k(w) = w**3 - w**2 - 10*w - 2. Let v(m) = k(m) - 6*n(m). Determine a so that v(a) = 0.
-2, 1, 2
Let j(k) be the first derivative of k**6/4 + 11*k**5/20 - k**4/16 - 3*k**3/4 - k**2/8 + k/2 + 5. What is n in j(n) = 0?
-1, 1/2, 2/3
Let m(k) be the first derivative of 5/12*k**4 - 5 + 5/9*k**3 - 5/6*k**2 - 5/3*k. Factor m(j).
5*(j - 1)*(j + 1)**2/3
Suppose -3*r = -4 + 13. Let y = r - -3. Suppose 2*s**2 - 5*s + y + s + 2 = 0. What is s?
1
Suppose -5*a + 2*a + 30 = 0. Let h = a + -6. Find w such that w - 14*w**3 - 4*w**2 - w + 2*w**h - 10*w**4 + 2*w = 0.
-1, 0, 1/4
Let l be (-3)/(-2)*32/12. Suppose t - 1 = 3, 5*h = -l*t + 26. Solve -8*v**h + 1 - 8*v + 3 - 13*v**2 = 0.
-2/3, 2/7
Let o(r) = -r**3 + 4*r**2 + 5*r - 5. Let c(f) = -f**3 + 5*f**2 + 6*f - 6. Let k(w) = -5*c(w) + 6*o(w). Factor k(i).
-i**2*(i + 1)
Let v(u) be the first derivative of -2*u**4 - 2*u**3/3 - 3. Suppose v(o) = 0. Calculate o.
-1/4, 0
Factor 3*m**2 + 69 + 33 - 27 - 30*m.
3*(m - 5)**2
Let j(g) be the second derivative of 9/2*g**6 - 18/5*g**5 - 25/14*g**7 + g**4 + 0 + 0*g**3 - 3*g + 0*g**2. Find s, given that j(s) = 0.
0, 2/5, 1
Let -2*t**4 - 7*t**3 - 5*t**3 + 4*t**5 - t - 2*t**2 + 5*t + 0*t**2 = 0. What is t?
-1, 0, 1/2, 2
Let n(u) = u**2 + 9*u + 3. Let f(r) = -r. Let x(b) = -15*f(b) - 3*n(b). Let x(o) = 0. Calculate o.
-3, -1
Factor 4/9*q**3 - 2/9*q**2 + 0 + 0*q - 2/9*q**4.
-2*q**2*(q - 1)**2/9
Let z(y) = 2*y**3 - 2*y**2 - 2*y + 2. Let v(i) = -2*i**3 + 2*i**2 + i - 3. Let d(p) = -4*v(p) - 6*z(p). Let d(n) = 0. Calculate n.
-1, 0, 2
Suppose 3*y - 4*y + 14 = 0. Suppose -3*z + y = 5*m - z, -3*m = -3*z. Find h such that -7*h + 3*h - h**m + 1 + 3*h + h**3 = 0.
-1, 1
Factor 12*v - 3*v**3 - v - 14*v + 6*v**2.
-3*v*(v - 1)**2
Solve -4/3*f - 2*f**2 + 0 - 2/3*f**3 = 0.
-2, -1, 0
Determine k so that 0 - 2/11*k**3 - 4/11*k**2 + 2/11*k**4 + 0*k = 0.
-1, 0, 2
Suppose -10 = 3*k - 8*k. Solve -6/5*b + 0 - 3/5*b**k = 0 for b.
-2, 0
Find q, given that 120/7*q**2 + 1200/7*q + 4/7*q**3 + 4000/7 = 0.
-10
Let b(h) = 5*h**5 + 8*h**4 - 6*h**3 - 8*h**2 + h - 6. Let z(c) = c**5 + c**4 - c**3 - c**2 - 1. Let q(a) = -b(a) + 6*z(a). Factor q(y).
y*(y - 1)**3*(y + 1)
Suppose -4*d + 15 - 4 = 3*v, 4*d - v - 23 = 0. Let w be (7 - 4)*2/3. Determine i so that 1/2*i**w + 1/4*i**d - 1/2*i**4 + 0*i**3 + 0 - 1/4*i = 0.
-1, 0, 1
Let b(h) be the first derivative of 2*h**6/3 - 16*h**5 + 126*h**4 - 784*h**3/3 - 686*h**2 - 29. Factor b(w).
4*w*(w - 7)**3*(w + 1)
Suppose 12*l - 51 = -27. Factor -2/3*u**4 + 0*u + 0*u**2 - 4/3*u**3 + l*u**5 + 0.
2*u**3*(u - 1)*(3*u + 2)/3
Suppose 2*l - 5*o = 34, 5*o - 4*o + 14 = l. Determine n so that -4*n**3 - l*n - 3 + 1 - 12*n**2 - 2 = 0.
-1
Let x(r) = 9*r**3 + 4*r**2 - 15*r - 9. Let w(y) = 4*y**3 + 2*y**2 - 7*y - 5. Let k(h) = -14*w(h) + 6*x(h). Factor k(j).
-2*(j - 2)*(j + 2)**2
Let f(m) be the third derivative of -m**6/1260 - m**5/210 - m**4/84 + m**3/2 - m**2. Let j(a) be the first derivative of f(a). Factor j(t).
-2*(t + 1)**2/7
Factor -3 - 3/2*r**2 + 9/2*r.
-3*(r - 2)*(r - 1)/2
Suppose 3*n - 2 = 4*r, -4*n + 3 = 5*r - 10*r. Let -1/2 - 1/2*v**n + v = 0. What is v?
1
Let t(u) be the first derivative of -u**6/240 + u**4/48 + 3*u**2 + 4. Let o(w) be the second derivative of t(w). Suppose o(s) = 0. What is s?
-1, 0, 1
Let 9*c**3 + 6*c**4 - c - 3*c**5 + 12*c**2 + 2*c**5 - 22*c**3 - 3*c = 0. Calculate c.
0, 1, 2
Let w(h) be the second derivative of 3*h**3 - 3*h. Let x be w(1). Factor 0*j + 12*j**4 + 5*j**2 + 7*j**2 + 3*j**5 + 3*j + x*j**3.
3*j*(j + 1)**4
Let i(b) be the third derivative of -b**5/15 + 6*b**3 + 22*b**2 - b. Factor i(d).
-4*(d - 3)*(d + 3)
Suppose -3*q + 11 = 5*m, 3*m = 4*q + 8*m - 13. Let 8/3*w**5 + 2/3*w - 2*w**4 + 2*w**q + 0 - 10/3*w**3 = 0. What is w?
-1, -1/4, 0, 1
Let l(s) = 3*s**3 - 2*s**2 + 4*s - 4. Let v(c) = -c**2 - c + 1. Suppose 0 = -d - 5*w - 1, 21 = 5*d + w - 2*w. Let t(i) = d*v(i) + l(i). Solve t(o) = 0.
0, 2
Solve 2/5*o - 2/5*o**3 - 2/5 + 2/5*o**2 = 0 for o.
-1, 1
Find x, given that -160*x**2 - 25*x*