 - 2/3*j**3 - z = 0.
-1
Suppose 2*q + 3*t = 6, -q - 17 + 13 = -2*t. Factor 1/5*w**3 + q*w + 0 + 1/5*w**2.
w**2*(w + 1)/5
Let d = -1 + 1. Let f = 21 + -16. Factor -l + f*l**2 - 4*l**2 + d*l**2.
l*(l - 1)
Let o be (6/21)/((-2)/8). Let r = 31/21 + o. Solve -r*b - 1/3*b**5 - 4/3*b**2 - 2*b**3 - 4/3*b**4 + 0 = 0.
-1, 0
Let q(s) be the first derivative of 1/3*s**2 - 4/9*s - 1/3*s**4 + 1 + 8/27*s**3 + 1/9*s**6 - 4/45*s**5. Determine w, given that q(w) = 0.
-1, 2/3, 1
Let k = -36 + 43. Let v(q) be the second derivative of 0 - 1/20*q**5 - 2*q + 1/36*q**4 + 0*q**3 + 1/30*q**6 - 1/126*q**k + 0*q**2. Determine u so that v(u) = 0.
0, 1
Let i(k) be the first derivative of k**4 - 5/2*k**2 + 2/3*k**3 - 4/5*k**5 + 1 + 1/6*k**6 + 2*k. Find b, given that i(b) = 0.
-1, 1, 2
Let f(b) be the first derivative of -2*b**3/3 + b**2 + 10. Factor f(p).
-2*p*(p - 1)
Let y(f) be the second derivative of -f**5/4 - 5*f**4/4 - 5*f**3/2 - 5*f**2/2 + 3*f. Factor y(d).
-5*(d + 1)**3
Let o(g) be the first derivative of -49*g**6/39 + 70*g**5/13 - 235*g**4/26 + 290*g**3/39 - 40*g**2/13 + 8*g/13 - 2. Let o(h) = 0. Calculate h.
2/7, 1
Let x(g) = -g**3 - 6*g**2 - 5*g + 4. Let a be x(-5). Solve 4*w - 4*w + w**3 + w**a - 2*w**4 = 0.
0, 1
Let b(g) be the second derivative of -g**2 + 2*g - 1/6*g**4 - 2/3*g**3 + 0. What is u in b(u) = 0?
-1
Let a(y) = 10*y**3 - 4*y**2 - 5*y - 9. Let u(c) = -c**3 + c + 1. Let l = -7 - -9. Let g(v) = l*a(v) + 18*u(v). Solve g(s) = 0.
0, 2
Let n(y) be the third derivative of y**6/120 + y**5/40 - 7*y**3/6 + 6*y**2. Let i(u) be the first derivative of n(u). Factor i(r).
3*r*(r + 1)
Let v(n) be the third derivative of 0*n**3 + 0*n + 0 - 1/30*n**4 - 1/60*n**6 - 7/150*n**5 + 8*n**2. Factor v(r).
-2*r*(r + 1)*(5*r + 2)/5
Let m = 1 + -1. Let i(u) be the third derivative of 1/8*u**6 + 0 - u**2 + 0*u + m*u**3 + 11/210*u**7 + 3/20*u**5 + 1/112*u**8 + 1/12*u**4. Solve i(k) = 0.
-1, -2/3, 0
Suppose 4*i - 10 - 6 = 0. Let t(k) be the second derivative of 3*k - 1/36*k**i + 0 - 1/6*k**2 - 1/9*k**3. Let t(v) = 0. What is v?
-1
Let k(m) = -2*m**2 + m - 2. Let n = 13 + -2. Suppose -4*z - 3*d + n = 0, -4*z + 0*d - 9 = -d. Let g(u) = -u**2 - u - 1. Let s(x) = z*k(x) + g(x). Factor s(c).
(c - 1)**2
Let k(q) = q**2 + 5*q. Let i be k(-5). Let g(u) be the second derivative of i*u**3 + 0*u**2 + 0 + 1/20*u**5 + u + 0*u**4. Find v, given that g(v) = 0.
0
Find m, given that -3*m**4 - 4*m**4 + 3*m**4 - 11*m**3 + 40*m**2 - m**3 = 0.
-5, 0, 2
Let d(c) be the second derivative of 3*c**5/80 + c**4/6 - 5*c**3/24 - 3*c**2/4 + 37*c. Let d(m) = 0. What is m?
-3, -2/3, 1
Let o(t) be the second derivative of -t**5/60 + t**3/6 - 2*t**2 - 4*t. Let c(j) be the first derivative of o(j). Factor c(n).
-(n - 1)*(n + 1)
Let k(p) be the third derivative of -p**7/105 + p**5/15 - p**3/3 - p**2. Let k(q) = 0. What is q?
-1, 1
Let u(z) = 17*z**5 + 2*z**4 - z**3 - 2*z**2 + 8*z. Let d(o) = -11*o**5 - o**4 + o**3 + o**2 - 5*o. Let b(y) = -8*d(y) - 5*u(y). Factor b(g).
g**2*(g - 1)*(g + 1)*(3*g - 2)
Factor -1/3*t**3 + t**2 - 2/3 + 1/3*t - 1/3*t**4.
-(t - 1)**2*(t + 1)*(t + 2)/3
Let h(o) = 2*o**2 - o + 1. Let g be h(1). Suppose 0*j - v - 9 = -g*j, 12 = j - 2*v. Factor -p**3 - 3*p**j + 5*p + p**4 + p**3 - p**3 - 2.
(p - 1)**3*(p + 2)
Let p(r) be the second derivative of 0*r**3 + 4*r + 0 - 2/45*r**5 - 1/135*r**6 + 0*r**2 - 2/27*r**4. Factor p(y).
-2*y**2*(y + 2)**2/9
Let j(l) be the first derivative of -l**5/30 - l**4/12 + 7. Factor j(p).
-p**3*(p + 2)/6
Let o = 141 + -419/3. Factor -o*n**2 + 0*n + 0 - 2/3*n**3.
-2*n**2*(n + 2)/3
Suppose 46*j = 48*j - 6. Let d(s) be the first derivative of -2/3*s**3 + j - s**2 + 0*s. Find k such that d(k) = 0.
-1, 0
Let d(f) = 16*f - 46. Let g be d(3). Factor -16/3*p**3 + 4 - 32/3*p - 20*p**g.
-4*(p + 1)*(p + 3)*(4*p - 1)/3
Suppose 3*i + 2*i = 10. Suppose -5*a + t = 1, -4*t + 7*t = i*a + 3. Factor a*b + 1/4*b**3 + 1/4*b**2 + 0.
b**2*(b + 1)/4
Factor 0 + 15/4*w**3 + 0*w - 21/4*w**4 + 3/2*w**2.
-3*w**2*(w - 1)*(7*w + 2)/4
What is o in 0 + 2/7*o - 2/7*o**2 = 0?
0, 1
Let k(o) = o**3 + 7*o**2 - 3*o - 21. Let r be k(-7). Let y = 8 + -15/2. Find x such that 0 + r*x - y*x**2 = 0.
0
Suppose 21*y - 9*y = 0. Solve y*z - 4/5*z**3 - 8/5*z**2 + 12/5*z**4 + 0 = 0.
-2/3, 0, 1
Let z = -2 - -4. Let k be (2 - 36)/(0 - z). Solve 28*j**2 + 2 + 12*j**3 - k*j**4 - 4*j**4 + 3*j**4 - 12*j - 12*j**2 = 0 for j.
-1, 1/3, 1
Let z be 5 - 4 - (-1 - -2). Suppose 0 = -h + 2 - z. Determine f, given that f + 2*f + 2*f**2 - 3 + 4*f**h = 0.
-1, 1/2
Suppose 4*z - 26 = -2. Let b = -2 + z. Factor -3 + b*a**2 - 9*a + 2 + 3 + 3*a**2.
(a - 1)*(7*a - 2)
Let j(i) = i - 6 - 6 + 3. Let n be j(11). Factor 0*o + 0 - 1/3*o**4 - 2/3*o**n - o**3.
-o**2*(o + 1)*(o + 2)/3
Let r = -18 - -20. Let j(y) be the second derivative of -8/3*y**3 - 1/6*y**6 + 0 + 2*y**r - 25/42*y**7 + 41/20*y**5 + y + 1/12*y**4. What is z in j(z) = 0?
-1, 2/5, 1
Suppose 44*t**3 + 50*t**3 - 97*t**3 - t**2 = 0. Calculate t.
-1/3, 0
Suppose -2*a - 10 = -2*o, -5*a + 0*a - 17 = -o. Factor -1/4*g**4 - 3/4*g**3 + 0 - 1/2*g**o + 0*g.
-g**2*(g + 1)*(g + 2)/4
Factor 254 - 516 + 256 + w**2 + 5*w.
(w - 1)*(w + 6)
Let m = 0 - -5. Let w(f) = -18*f - m*f**3 - 7*f**3 + 8*f - 11. Let a(k) = -k**3 - k - 1. Let z(c) = 22*a(c) - 2*w(c). Let z(h) = 0. What is h?
-1, 0, 1
Suppose 0 = n + u - 6, 2*n = 5*u - 10 - 6. Let b = -3/29 - -125/87. Factor -2/3*h**n - 2/3 + b*h.
-2*(h - 1)**2/3
Let v = 1 - 0. Suppose -6*d**2 + 20*d**2 + 5 - v - 18*d = 0. Calculate d.
2/7, 1
Let r be -3 + ((-541)/(-90) - 3). Let y(j) be the second derivative of -2*j - 1/18*j**3 + 0*j**2 + r*j**6 + 0 + 1/60*j**5 - 1/36*j**4. Let y(a) = 0. What is a?
-1, 0, 1
Suppose y = -3*m - 0*m - 6, y - 3*m = 18. Suppose 2*i = y*i - 8. Solve -7*a - a**3 + 4 - 2*a**2 - a**i + 7*a = 0 for a.
-2, 1
Solve -35/4*h + 5/4*h**4 - 25/4*h**3 + 0 - 65/4*h**2 = 0 for h.
-1, 0, 7
Factor 0 - m**2 + m**4 + 1/2*m**5 + 0*m - 1/2*m**3.
m**2*(m - 1)*(m + 1)*(m + 2)/2
Let -1/2*c**2 - 2 - 2*c = 0. What is c?
-2
Let k(v) be the third derivative of -1/360*v**6 - 1/60*v**5 + 0*v**4 + 0 + 0*v + 2/9*v**3 - 2*v**2. Let k(z) = 0. Calculate z.
-2, 1
Let c(q) be the second derivative of q**5/90 - 13*q**4/54 + 35*q**3/27 + 49*q**2/9 - 2*q - 24. Factor c(v).
2*(v - 7)**2*(v + 1)/9
Let k(h) be the second derivative of 3*h**5/20 + 2*h**4/3 + 2*h**3/3 - 19*h. Determine m so that k(m) = 0.
-2, -2/3, 0
Let i(f) be the second derivative of -f**8/2520 - f**7/1260 + f**6/540 + f**5/180 + f**3/2 - 3*f. Let q(t) be the second derivative of i(t). Factor q(n).
-2*n*(n - 1)*(n + 1)**2/3
Let s be (4/(-6))/(2/(-6)). Factor -1 + 2 + n**s - 2*n**2.
-(n - 1)*(n + 1)
Let m(l) be the first derivative of 2*l**3 + 2*l**2 + 9. Factor m(d).
2*d*(3*d + 2)
Let q(x) = -5*x**2 + 2*x + 4. Let h be (-52)/(-5) + (-2)/5. Let j = h + 1. Let m(f) = 14*f**2 - 6*f - 11. Let l(u) = j*q(u) + 4*m(u). Factor l(w).
w*(w - 2)
Suppose 3*q + 70 = 4*d - 2*q, 3*d - q = 58. Let u be -2*2*(-2)/d. Suppose 0*v + 2/5*v**2 + 0*v**3 - u*v**4 + 0 = 0. Calculate v.
-1, 0, 1
Let y = -27 - -30. Factor -10 + 0*z**y - 2*z**4 + z**5 + z**3 + 10.
z**3*(z - 1)**2
Let h(g) = g**3 + 3*g**2 + g. Let r be h(-2). Let l = -46 + 46. What is z in 6*z**4 - z - 2*z**r + z**5 - 4*z**4 + l*z**2 = 0?
-1, 0, 1
Let l be ((-4)/(-6))/(((-2)/(-2))/3). Factor 2/3*q**l + 0 + 2/3*q.
2*q*(q + 1)/3
Determine i, given that -i**2 + 192 - 205 + 6*i + 0*i**2 + 8*i = 0.
1, 13
Let a(i) be the second derivative of i**5/80 - 3*i. Factor a(b).
b**3/4
Let l(q) be the second derivative of -q**6/180 + q**5/180 + q**4/72 + 5*q**2/2 - q. Let n(f) be the first derivative of l(f). Find h, given that n(h) = 0.
-1/2, 0, 1
Let o(g) be the first derivative of -g**3/2 + 39*g**2/2 - 507*g/2 + 42. Factor o(c).
-3*(c - 13)**2/2
Find y such that -2/3*y - 13/3*y**2 - 3*y**4 - 20/3*y**3 + 0 = 0.
-1, -2/9, 0
Suppose 5*j + 14 = 134. Determine y, given that -26*y**3 + 6*y**5 - j*y**2 - 6*y**5 - 2*y**5 - 8*y - 12*y**4 = 0.
-2, -1, 0
Let v(r) be the first derivative of -1/3*r**3 - 2*r**2 - 3*r + 2. Factor v(p).
-(p + 1)*(p + 3)
Let t(o) be the third derivative of -o**7/1995 - 2*o**6/285 - 2*o**5/57 - 4*o**4/57 - 27*o**2. Factor t(j).
-2*j*(j + 2)**2*(j + 4)/19
Let z(w) be the first derivative of -3*w**5/5 - 3*w**4/4 + 4. Determine u so that z(u) = 0.
-1, 0
Let d(t) be t