) + 3*u(s). Let k(c) = 0. Calculate c.
-2, -1/6, 0
Let o(q) be the first derivative of q**6/60 - q**5/40 + q**3 + 1. Let k(a) be the third derivative of o(a). Factor k(y).
3*y*(2*y - 1)
Let q(f) = f**3 - 6*f**2. Let n be q(6). Factor n*o - 2*o + 6*o**2 + 0*o**2 - 6*o**3 + 2*o**4.
2*o*(o - 1)**3
What is d in -3*d**2 - 3*d**4 - 6*d**3 + 33*d**2 - 3*d**2 - 18*d**2 = 0?
-3, 0, 1
Let f(q) be the first derivative of -3*q + q**2 + 1/6*q**3 - 1/12*q**4 + 1. Let l(n) be the first derivative of f(n). Factor l(i).
-(i - 2)*(i + 1)
Let g(s) = s + 6. Let v be g(-3). Let v*u - 11*u**2 + 5*u**2 + 2*u**3 + u**3 = 0. What is u?
0, 1
Suppose 0 = x + 5, -4*o + 5*x - 2*x = -23. Let m = -4 + 6. Find s such that 3*s**m - 4*s**2 + s**2 - o*s**5 = 0.
0
Let x(k) be the second derivative of -k**6/135 + k**5/30 - k**4/27 + k. Factor x(r).
-2*r**2*(r - 2)*(r - 1)/9
Let q(n) = n**2 - 4*n - 3. Let v(r) = -r**2 + 8*r + 5. Let w(j) = 5*q(j) + 3*v(j). Suppose w(a) = 0. What is a?
-2, 0
Let m(o) be the third derivative of o**8/96 - o**7/35 + o**6/80 + o**5/60 - 17*o**2. Factor m(q).
q**2*(q - 1)**2*(7*q + 2)/2
Let c be 28/5 - (-2)/5. Suppose k - c*k = -10. Factor -6*n**k + 2*n**2 + 1 + 0 + 3*n.
-(n - 1)*(4*n + 1)
Let h(y) = -4*y**4 - 15*y**3 - 9*y**2 + 3*y + 1. Let r(a) = -15*a**4 - 60*a**3 - 36*a**2 + 12*a + 3. Let g(i) = 9*h(i) - 2*r(i). Factor g(z).
-3*(z + 1)**3*(2*z - 1)
Let p(b) be the first derivative of -5*b**4/2 - 4*b**3/3 + 7. Factor p(z).
-2*z**2*(5*z + 2)
Let g(x) be the second derivative of 2/3*x**2 + 0*x**3 + 0 - 4*x - 25/36*x**4. Determine y so that g(y) = 0.
-2/5, 2/5
Let i be 1 + 113/(-6)*4. Let v = i + 75. Factor 0*n**2 + 0*n**4 + 0 - 1/3*n - 1/3*n**5 + v*n**3.
-n*(n - 1)**2*(n + 1)**2/3
Let j(r) be the second derivative of r**7/84 - r**6/15 + 3*r**5/20 - r**4/6 + r**3/12 + 10*r. Factor j(w).
w*(w - 1)**4/2
Let n be (1 - (-668)/48) + 0. Let c = 47/3 - n. Solve 3/4*u**3 + c*u**2 - 3/2*u + 0 = 0 for u.
-2, 0, 1
Suppose -15*n**5 + 29*n**3 - 36*n + 28*n**3 + 10*n**3 - 84*n**4 - 16*n**3 + 84*n**2 = 0. What is n?
-6, -1, 0, 2/5, 1
Let x = 331 - 2313/7. Solve -2/7*h**3 + x*h**2 + 0*h + 0 = 0 for h.
0, 2
Let f(p) be the second derivative of p**6/360 - p**5/60 + p**4/24 - p**3/2 + p. Let i(x) be the second derivative of f(x). Determine z, given that i(z) = 0.
1
Let r(k) = -k**4 - k - 1. Let u(f) = -48*f**4 - 105*f**3 - 18*f**2 + 117*f + 9. Let h(c) = 15*r(c) - u(c). Determine d, given that h(d) = 0.
-2, -2/11, 1
Let z be (7/1)/(1 + 0). Let n = 12 - z. Factor -3 - 1 + 2*i**2 - 3*i + n*i.
2*(i - 1)*(i + 2)
Let r(j) be the third derivative of -j**7/1050 - j**6/360 - j**5/600 + j**3/3 - 6*j**2. Let u(l) be the first derivative of r(l). Factor u(k).
-k*(k + 1)*(4*k + 1)/5
Suppose 6 = -v + 2. Let h be (-1)/v - 3/12. Factor 0*x**3 - 1/4*x**4 + 0*x**2 + 0*x + h - 1/4*x**5.
-x**4*(x + 1)/4
Let d(x) be the first derivative of x**5/5 + 3*x**4/4 + x**3 + x**2/2 + 1. Solve d(h) = 0 for h.
-1, 0
Let r(g) = 6*g**4 - 6*g**3 - 26*g**2 - 6*g + 8. Let q(h) = -11*h**4 + 13*h**3 + 53*h**2 + 13*h - 16. Let c(x) = 2*q(x) + 5*r(x). Factor c(v).
4*(v - 2)*(v + 1)**2*(2*v - 1)
Suppose -4/9*g**3 + 2/9*g**2 - 2/9*g**4 + 0 + 4/9*g = 0. Calculate g.
-2, -1, 0, 1
Let j = -5 + 8. Suppose j*b + 2 = -1. Let a(z) = -z**3 - z**2. Let y(o) = -3*o**3 - 7*o**2 + 8. Let n(i) = b*a(i) + y(i). Suppose n(c) = 0. Calculate c.
-2, 1
Let j = 12 - 10. Factor -16*i**3 + 2*i**2 + 30*i**3 - 6*i**j.
2*i**2*(7*i - 2)
Let y(d) be the second derivative of 0 + 2/5*d**2 - 3*d + 1/30*d**4 + 1/5*d**3. What is z in y(z) = 0?
-2, -1
Let b(j) be the first derivative of j**6/2 + 9*j**5/5 + 3*j**4/2 - 2*j**3 - 9*j**2/2 - 3*j - 5. What is g in b(g) = 0?
-1, 1
Factor 0 - 2/19*q**2 + 4/19*q**3 + 0*q.
2*q**2*(2*q - 1)/19
Let u(k) = -k**2 + 11*k + 1. Let h be u(11). What is d in 0 - d**2 - h + 2*d**2 = 0?
-1, 1
Let h(x) = 7*x**3 - 7*x**2 - 7*x + 7. Let o(m) = -4*m**3 + 4*m**2 + 4*m - 4. Let c(q) = 3*h(q) + 5*o(q). Let c(w) = 0. What is w?
-1, 1
Let p be (1 - (-3)/(-4))*18. Let d = 5 - p. Factor -2*m + 0 + 2*m**2 - d*m**3.
-m*(m - 2)**2/2
Let h = 3/137 + 1623/959. Suppose 4/7*k**3 - 4/7*k - h*k**2 + 8/7*k**4 + 4/7 = 0. What is k?
-1, 1/2, 1
Let l = 9 - 3. Let s = l - 4. Factor -a + 0*a**2 - a - s*a**2 + 4.
-2*(a - 1)*(a + 2)
Let k be -1 - (6 + -7) - 1/(-2). Factor 0 - 5/2*r**4 + k*r**5 - 3/2*r**2 + 0*r + 7/2*r**3.
r**2*(r - 3)*(r - 1)**2/2
Suppose -o + 0 + 4 = 0. Suppose 5*c = o*v + 16, 2*c + 5*v + 20 = c. Factor c + 1/4*h**2 + 0*h + 1/4*h**3.
h**2*(h + 1)/4
Let p(o) be the second derivative of 1/36*o**4 + 0*o**3 + 3*o + 0 - 1/6*o**2. Solve p(r) = 0 for r.
-1, 1
Let f(a) = -a**3 - a**2 + 6*a + 6. Let l be f(-1). Factor 1/3*d**2 + l + 0*d.
d**2/3
Let g(p) be the first derivative of -4 + 14/3*p**3 - 4*p - 5*p**2. Factor g(r).
2*(r - 1)*(7*r + 2)
Let q(r) = -r**3 + 5*r**2 - 5*r - 1. Let b be q(3). Let 2/3*k**3 - 2/3*k + 0 + 0*k**b = 0. Calculate k.
-1, 0, 1
Let k(b) be the second derivative of 0 + 1/6*b**4 - 1/3*b**3 + 2*b + 0*b**2. Determine p so that k(p) = 0.
0, 1
Let o = -122/5 - -126/5. Factor 2/5*m + 0 + 2/5*m**5 + 0*m**4 + 0*m**2 - o*m**3.
2*m*(m - 1)**2*(m + 1)**2/5
Let j be (-2)/10*(9 - 24). Let 1/3*q**j - 1/3*q + 1/3*q**2 - 1/3 = 0. What is q?
-1, 1
Suppose 5*d = -4*w - 35, 2*d = w - 2 + 1. Let m be d*(21/27 + -1). Find f such that m*f + 1/3 + 1/3*f**2 = 0.
-1
Let i = -4 + 6. Solve -3*q**3 + 3*q**i - 6*q**2 - 3*q - 3*q**2 = 0 for q.
-1, 0
Let z be (4/3)/((-4)/(-6)). Let -2/5*n**z + 0 + 2/5*n = 0. What is n?
0, 1
Let y(h) be the second derivative of 0*h**2 + 0 - 33/20*h**5 - 1/6*h**3 - 4/3*h**6 + h - 5/6*h**4 - 8/21*h**7. Solve y(t) = 0 for t.
-1, -1/4, 0
Let d be 16*((-18)/8)/(-3). Suppose d*o = 9*o + 9. Let -6/5 + 3/5*j + 6/5*j**o + 3*j**2 = 0. Calculate j.
-2, -1, 1/2
Let f = 4061/7 + -580. Suppose -3*m - 4*n = 2*m - 23, -2*m = 2*n - 10. Find z, given that f*z**4 + 3/7*z**2 + 0 - 1/7*z - 3/7*z**m = 0.
0, 1
Let a(i) be the first derivative of -5*i**6/2 - 11*i**5/5 - i**4/2 + 57. Factor a(p).
-p**3*(3*p + 1)*(5*p + 2)
Factor 404*x**3 - 404*x**3 - 3 - 3*x**4 + 6*x**2.
-3*(x - 1)**2*(x + 1)**2
Let g be (-2)/(-9) - 601/(-9). Suppose 0*k - 13*k**3 + 34*k**2 - 8*k**2 + g*k**3 + 4*k + 14*k**5 + 46*k**4 = 0. What is k?
-1, -2/7, 0
Let n be (-57)/76 + (-3)/(-4). Determine p so that 2/11*p**2 - 2/11*p**3 + 4/11*p + n = 0.
-1, 0, 2
Factor 36*y + 3*y - 12*y**2 - 9*y**3 + 0*y**2 - 18.
-3*(y - 1)*(y + 3)*(3*y - 2)
Let k(s) be the second derivative of s**6/270 - s**4/54 + s**2/18 - s + 51. Factor k(h).
(h - 1)**2*(h + 1)**2/9
Let n(g) = -g - 1. Let p be 5*(-2 + 18/15). Let a be n(p). Factor -z**2 - 2*z + z**2 + z**a + z.
z*(z - 1)*(z + 1)
Factor 4/5 - 2/5*u**2 + 2/5*u.
-2*(u - 2)*(u + 1)/5
Factor -6*b**2 + 36*b**4 + 16*b**2 - 5*b**3 - 41*b**4.
-5*b**2*(b - 1)*(b + 2)
Let i(j) be the third derivative of j**8/1344 - j**7/420 + j**6/480 - 5*j**2. Solve i(z) = 0 for z.
0, 1
Let m(x) = 6*x**2 - 5*x**2 - 2*x**2 + x. Let h(n) be the first derivative of n**4/4 - 5*n**3/3 + 3*n**2 + 9. Let s(p) = -h(p) + 6*m(p). Factor s(r).
-r**2*(r + 1)
Let z(u) be the first derivative of -u**4 - 8*u**3/3 + 2*u**2 + 8*u - 2. Factor z(n).
-4*(n - 1)*(n + 1)*(n + 2)
Let j(w) = -w**2 - 13*w + 3. Let m be j(-13). Factor 16/9*g**2 + 2/3*g**4 - 8/9*g + 0 + 22/9*g**m.
2*g*(g + 2)**2*(3*g - 1)/9
Let r = -6 - -11. Suppose 0 = -2*p + r*b + 6, 5*b = 3*p - 1 - 13. Let 6*o**3 + 13 - p*o - 13 + 2*o**4 = 0. What is o?
-2, 0, 1
Suppose 2 = -3*n - 4*u - 6, 25 = 5*n - u. Suppose -n = 2*s + 6, -25 = -y + 5*s. Factor y*w**3 + 1/3*w**4 + 0*w + 0*w**2 - 1/3*w**5 + 0.
-w**4*(w - 1)/3
Let j = 113/730 - 4/73. Let p(y) be the third derivative of 0*y + 0*y**3 + 1/105*y**7 - y**2 - 1/20*y**6 - 1/12*y**4 + j*y**5 + 0. Factor p(b).
2*b*(b - 1)**3
Let w(q) = q + 3. Suppose 0 = -3*p - 6. Let s be w(p). Factor -s + t**2 + 4*t - 3*t + t**2.
(t + 1)*(2*t - 1)
Let r(m) = m - 7. Let l be r(9). Factor 2*q**2 - 3*q**l + 3*q**2 - 2*q.
2*q*(q - 1)
Let x be ((-6)/9)/((-1)/6). Let g(f) be the first derivative of 3/2*f**x + f**2 + 8/3*f**3 + 2 + 0*f. Factor g(l).
2*l*(l + 1)*(3*l + 1)
Suppose 15 = 3*p - 0*p. Factor 2 - 15*h**2 + 2*h - 4*h - 6*h**3 + p*h**2.
-2*(h + 1)**2*(3*h - 1)
Let i = -155 + 1089/7. Solve 0 - 24/7*m**3 - 18/7*m**2 - 10/7*m**4 - i*m = 0.
-1, -2/5, 0
Suppose -4*q**4 + 18*q**2 + 17*q**2