ose -2*b = -2, 2*j + b + b = 10. Suppose 0*t + j*t = -2*q - 6, -4*t + 5*q = -15. Let 0*l**3 - 2/9 - 2/9*l**4 + 4/9*l**2 + t*l = 0. What is l?
-1, 1
Factor 0*d**2 + 0 - 5/3*d**3 + 5/3*d**4 + 0*d.
5*d**3*(d - 1)/3
Let z(i) be the third derivative of i**8/8400 + i**3 - 7*i**2. Let k(h) be the first derivative of z(h). Determine d so that k(d) = 0.
0
Let d be -3*((-2)/12)/(19/76). Factor 1 - 1/2*w**d - 1/2*w.
-(w - 1)*(w + 2)/2
Solve 1/8*g**3 + 3/8*g**2 + 0*g - 1/2 = 0 for g.
-2, 1
Factor -32/7*o + 16/7 - 4*o**2 + 20/7*o**3.
4*(o - 2)*(o + 1)*(5*o - 2)/7
Let q(z) be the third derivative of 0*z**3 + 1/140*z**5 + 0*z - 5*z**2 + 1/490*z**7 + 0*z**4 - 1/140*z**6 + 0. Factor q(r).
3*r**2*(r - 1)**2/7
Factor -3*o**4 - 11*o**4 + 7*o**3 + o**3 + 10*o**4.
-4*o**3*(o - 2)
Let o(n) = -3*n**4 - 14*n**3 + 3*n**2 + 14*n. Let c(i) = -i**4 - 5*i**3 + i**2 + 5*i. Let l(z) = 17*c(z) - 6*o(z). Solve l(v) = 0 for v.
-1, 0, 1
Let i be (-5)/(-3) - (1 - 0). Determine c so that 0*c + i - 2/3*c**2 = 0.
-1, 1
Let h(n) be the second derivative of 2/9*n**2 + 1/18*n**4 - 5*n + 0 + 1/90*n**5 - 1/135*n**6 - 5/27*n**3. Solve h(c) = 0.
-2, 1
Let t(r) be the first derivative of -2*r**5/15 + r**4/6 + 4*r**3/9 - 11. Factor t(v).
-2*v**2*(v - 2)*(v + 1)/3
Find q, given that -1/4*q**3 + 9/4*q**2 - 15/4*q + 7/4 = 0.
1, 7
Factor 5*l - 2*l**2 + 2 - 17*l - 20.
-2*(l + 3)**2
Let u(y) be the second derivative of -y**6/120 + y**5/5 - 2*y**4 + 2*y**3/3 - 2*y. Let x(o) be the second derivative of u(o). Let x(h) = 0. Calculate h.
4
Let x(c) be the first derivative of -11/6*c**6 + 0*c + 0*c**2 + 2/3*c**3 + 1 + 11/4*c**4 - 2/5*c**5. Let x(w) = 0. What is w?
-1, -2/11, 0, 1
Let t(d) be the third derivative of d**5/210 + d**4/84 - 3*d**2. Factor t(h).
2*h*(h + 1)/7
Let h(a) be the second derivative of 3*a**5/20 + 19*a**4/36 + 11*a**3/18 + a**2/6 + 15*a. Determine f, given that h(f) = 0.
-1, -1/9
Let m(s) = s**2 - s. Let f(w) = -3*w**2 + 6*w + 1. Let t(z) = 3*f(z) + 12*m(z). Factor t(r).
3*(r + 1)**2
Solve -191*b - 5*b**2 - 5 + 5*b**2 + b**2 + 187*b = 0 for b.
-1, 5
Let l(o) be the third derivative of o**5/270 - 5*o**4/108 + 6*o**2. Suppose l(j) = 0. Calculate j.
0, 5
Suppose 3*z + 9 = 6*z. Factor -1/5*p + 0 + 0*p**2 + 1/5*p**z.
p*(p - 1)*(p + 1)/5
Suppose 3*q + 8 = 4*u, 4*q - 6 - 4 = -5*u. What is c in c**4 - c**5 + 0*c**5 - u*c**2 + 23*c**3 - 22*c**3 + c**2 = 0?
-1, 0, 1
Let h(b) be the third derivative of -b**6/40 + 9*b**5/20 - 27*b**4/8 + 27*b**3/2 + 3*b**2 - 5. Solve h(a) = 0 for a.
3
Let w(g) be the third derivative of g**6/80 - 7*g**4/16 - 3*g**3/2 - 22*g**2. Suppose w(b) = 0. Calculate b.
-2, -1, 3
Suppose -d - 5 - 1 = 0. Let a be (-2)/18*(d - 0). What is g in 0*g + a*g**3 + 0 + 2/3*g**2 - 2/3*g**5 - 2/3*g**4 = 0?
-1, 0, 1
Let j be ((-1)/4*-3)/((-2211)/(-536)). Factor -2/11*a**4 + j*a**2 - 2/11*a + 2/11*a**3 + 0.
-2*a*(a - 1)**2*(a + 1)/11
Let y = -10 - -13. Let g**2 - 6*g - y*g**2 + 4*g = 0. What is g?
-1, 0
Factor 5*i**3 + 2*i**3 + 7 + 3*i - 10*i**2 - 7.
i*(i - 1)*(7*i - 3)
Suppose 4*k - 5*j = -28, k = -3*k - 3*j - 28. Let c = k + 10. Determine w, given that -c*w + 3*w - w - w**2 = 0.
-1, 0
Factor 105/4*k + 45/2 + 10*k**2 + 5/4*k**3.
5*(k + 2)*(k + 3)**2/4
Let h(m) be the second derivative of -m**4/36 + 2*m**3/9 - m**2/2 - 4*m. Factor h(u).
-(u - 3)*(u - 1)/3
Let n be (-5 - -5)/(2 + -3). Let r(f) be the third derivative of -2*f**2 - 1/210*f**5 + 0*f + 0*f**3 + n*f**4 + 0. Find s, given that r(s) = 0.
0
Let t(n) be the first derivative of 4*n**3/9 + 4*n**2 - 28*n/3 + 18. Let t(s) = 0. What is s?
-7, 1
Factor 2/3*l**3 + 0 + 10/9*l + 2/9*l**4 - 2*l**2.
2*l*(l - 1)**2*(l + 5)/9
Suppose -21 = -206*r + 199*r. Suppose -2/3*c**4 - 2/9*c**2 + 0 - 2/3*c**r + 0*c - 2/9*c**5 = 0. What is c?
-1, 0
Find i such that -15/2*i**2 - 6*i + 0 - 3/2*i**3 = 0.
-4, -1, 0
Let m(r) = -2*r**3 - 3*r**2 + 3. Let p be m(0). Determine a so that 3/7*a**2 - 3/7 + 3/7*a**p - 3/7*a = 0.
-1, 1
Let u(a) = 7*a**2 + 18*a + 15. Let q(r) = 15*r**2 + 35*r + 30. Let b(x) = -2*q(x) + 5*u(x). Factor b(d).
5*(d + 1)*(d + 3)
Suppose 2*c - 20 = -2*c. Let a(o) be the third derivative of 0 + 0*o**3 - 1/120*o**4 + 1/300*o**c + 0*o + o**2. Factor a(h).
h*(h - 1)/5
Solve 12*l**2 + 9*l**2 - 3*l**3 - 18*l**2 = 0.
0, 1
Let y be (-2 - -3) + 6/(-10). Solve -2/5*o**2 + y*o + 4/5 = 0 for o.
-1, 2
Let a(p) be the third derivative of -p**9/30240 + p**8/5040 - 2*p**5/15 - 5*p**2. Let q(z) be the third derivative of a(z). Let q(k) = 0. What is k?
0, 2
Let p(u) be the second derivative of -u**6/45 + u**5/5 - 3*u**4/4 - 2*u**3/3 + 2*u. Let l(x) be the second derivative of p(x). Factor l(n).
-2*(2*n - 3)**2
Let a be 2/10 + 2427/315. Let u = a - 32/7. Solve 1/3 + 5/3*s**4 + 1/3*s**5 + 10/3*s**3 + u*s**2 + 5/3*s = 0.
-1
Let c = -1704 - -255601/150. Let a(v) be the third derivative of 0 + 0*v**3 - 1/60*v**4 + 0*v + c*v**5 - 2*v**2. Factor a(w).
2*w*(w - 1)/5
Let y(x) be the third derivative of 1/40*x**6 + 0*x - 2*x**2 + 0 + 0*x**3 - 1/20*x**5 + 0*x**4. Factor y(r).
3*r**2*(r - 1)
Suppose 0*a - 6 = -a. Let r(t) = -7*t**3 - t**2 - 7*t. Let m(f) = 4*f**3 + f**2 + 4*f. Let u(c) = a*r(c) + 10*m(c). Determine i so that u(i) = 0.
0, 1
Suppose 2*k - 4*s - 4 = -16, 3*k - 3 = -s. Factor k + 1/2*y**3 - 1/2*y**4 + 1/2*y**2 - 1/2*y.
-y*(y - 1)**2*(y + 1)/2
Let a be 12/3 + 12/8 + -2. Determine v so that -6*v**2 + a*v - 1/2 = 0.
1/4, 1/3
Suppose -l + 5*g = -23, 5*l - 26 = 4*g + 5. Let f(s) be the first derivative of 1 + 2*s**l + 3/4*s**4 + 3/2*s**2 + 0*s. Suppose f(a) = 0. What is a?
-1, 0
Let w = -50/33 + 24/11. Let a(t) = t**2 - 8*t + 3. Let c be a(8). Factor -2/3*o**2 + 0 + 0*o + 2/3*o**5 + w*o**4 - 2/3*o**c.
2*o**2*(o - 1)*(o + 1)**2/3
Let p(m) be the third derivative of -m**8/1680 + m**6/360 + m**3/6 - 9*m**2. Let n(s) be the first derivative of p(s). Solve n(u) = 0.
-1, 0, 1
Let x(z) = 2*z**2 - 2*z - 1. Let o be x(4). Let 12*q**4 - 4*q**3 - 8*q**4 - 3*q + 8*q**4 - o*q**3 + 18*q**2 = 0. What is q?
0, 1/4, 1
Let a(c) be the first derivative of 2*c**5/5 + c**4/2 - 2*c**3/3 - c**2 + 15. Factor a(m).
2*m*(m - 1)*(m + 1)**2
Let c(n) be the second derivative of 5*n**7/42 + 2*n**6/3 - 3*n**5/2 - 5*n**4/3 + 25*n**3/6 - n. Factor c(w).
5*w*(w - 1)**2*(w + 1)*(w + 5)
Let m = -6 + 9. Solve -2*g - 3*g - 12*g**2 - 3*g - 2*g**4 - 2 - 8*g**m = 0 for g.
-1
Let f be 1 + (1 - (-1 + 1)). Suppose -3*h = 5*h - 24. Determine y so that -2*y**2 - y + f*y + 4 - h*y = 0.
-2, 1
Let g(x) = -x**2 + 5*x + 5. Let l be g(6). Let o be l/(-2) - (-6)/4. Solve 2*t**2 + 0*t - 3 + 2*t - o*t**3 + 1 = 0 for t.
-1, 1
Let f(c) be the second derivative of -c**5/16 - 5*c**4/24 - 5*c**3/24 + 25*c. Factor f(w).
-5*w*(w + 1)**2/4
Let j be (3/(-10))/(1014/(-144) + 7). Factor 3/5*u**3 - 24/5 + j*u - 18/5*u**2.
3*(u - 2)**3/5
Let d(f) be the second derivative of 5*f**4/12 - 7*f**3/6 - 2*f. Let v(b) = -2*b**2 + 4*b. Let u(m) = 6*d(m) + 11*v(m). Factor u(x).
2*x*(4*x + 1)
Let c(p) be the third derivative of 0*p + 0 - 1/20*p**4 - 8*p**2 + 1/100*p**6 + 1/90*p**5 + 2/45*p**3 - 1/225*p**7. Determine w, given that c(w) = 0.
-1, 2/7, 1
Let j(m) = m**5 - m**4 + m**3 - m**2 + m - 1. Let y(i) = -34*i**5 - 42*i**4 + 10*i**3 + 62*i**2 + 6*i - 2. Let a(f) = -6*j(f) - y(f). Let a(d) = 0. What is d?
-1, 2/7, 1
Let j(a) = a**2 + a + 1. Let y(s) = -98*s**3 - 339*s**2 + 213*s - 35. Let z(v) = 6*j(v) + 2*y(v). Factor z(t).
-4*(t + 4)*(7*t - 2)**2
Let x(s) be the third derivative of 2*s**7/2415 - s**6/460 + s**5/690 + 16*s**2. Determine p so that x(p) = 0.
0, 1/2, 1
Let w(u) be the third derivative of -u**8/960 - 3*u**7/560 - u**6/120 + u**5/30 + 5*u**2. Let z(s) be the third derivative of w(s). Factor z(y).
-3*(y + 1)*(7*y + 2)
Let g(m) = -m**3 - m**2 + 5*m + 6. Let x(u) = u**3 - 6*u - 6. Let f(t) = 3*g(t) + 4*x(t). Let k(c) be the first derivative of f(c). Solve k(d) = 0 for d.
-1, 3
Let m(s) = -2 + s**2 + 2. Let r be m(2). Factor -57*u**4 - 8*u - 83*u**r + 40*u**2 - 105*u**5 + 7*u**5 + 6*u**3.
-2*u*(u + 1)**2*(7*u - 2)**2
Suppose -4/3*t**2 + 1/6*t**3 + 8/3*t + 0 = 0. What is t?
0, 4
Let q = 6 + -4. Suppose q*l - 2 = l. Factor -r**3 + 1 + 2*r**l + 0 + r**2 - 3*r.
-(r - 1)**3
Let i be (0 + 1)/((-4)/(-8)). Let 6*f**3 + 16/3 - 8/3*f - 12*f**i = 0. Calculate f.
-2/3, 2/3, 2
Let k(m) be the third derivative of -1/6*m**4 + 0*m + 1/60*m*