3 + 8/13*i + 2/13*i**2.
2*(i + 2)**2/13
Let j(o) = 8*o**2 - 8*o - 12 + 4*o - 7*o**2. Let u be j(6). Factor -2/5*l**2 + u + 0*l**3 + 0*l + 2/5*l**4.
2*l**2*(l - 1)*(l + 1)/5
Let d(v) = 6*v**2 - 10*v - 4. Let h(i) = 7*i**2 - 10*i - 5. Let j(z) = -5*d(z) + 4*h(z). Factor j(n).
-2*n*(n - 5)
Let p(t) be the second derivative of -t**7/7560 + t**6/540 - t**5/90 - 3*t**4/4 - 3*t. Let m(v) be the third derivative of p(v). Let m(w) = 0. What is w?
2
Let r(l) = -2*l - 1. Let i be r(-2). Suppose 0 = i*z + 1 - 7. Solve -z*h - 2 - 2*h**2 - 2*h + 0 = 0.
-1
Let y(f) = -f**2 + 20*f - 17. Let x be y(19). Let -2/5 - 2/5*o**x - 4/5*o = 0. What is o?
-1
Let c(k) = 6*k**2 + 10*k - 5. Let f(o) = o**2 + 2*o - 1. Let x(i) = -4*c(i) + 22*f(i). Factor x(h).
-2*(h - 1)**2
Suppose 3*v + 4*c - 20 = 0, -15 = 5*v - 2*c - c. Solve -5/3*t**3 + v - t**2 + 2/3*t = 0.
-1, 0, 2/5
Let p(k) be the first derivative of 1/12*k**3 + 2*k - 2 + 1/24*k**4 - 1/4*k**2 - 1/40*k**5. Let g(a) be the first derivative of p(a). Factor g(f).
-(f - 1)**2*(f + 1)/2
Suppose 8*u - 6*u = 40. Suppose u*n + 4*n**2 + 21 - 1 - 4 = 0. What is n?
-4, -1
Let j be (-37)/(-119) - 174/(-1479). Factor 0 + 3/7*k**2 - 3/7*k**4 + j*k - 3/7*k**3.
-3*k*(k - 1)*(k + 1)**2/7
Suppose 3 = 8*v - 7*v - 3*i, -5*v - 5*i = 5. Factor -2/3*z**3 + v + 2/3*z**4 + 2/3*z - 2/3*z**2.
2*z*(z - 1)**2*(z + 1)/3
Factor r - 2*r**2 - 9*r + 30*r**2.
4*r*(7*r - 2)
Let u(f) be the first derivative of f**6/200 - f**5/150 - 7*f**4/120 - f**3/15 + f**2 + 2. Let a(r) be the second derivative of u(r). Factor a(c).
(c - 2)*(c + 1)*(3*c + 1)/5
Let v = -6 - -9. Let 2*b**v + 0*b**2 - b**2 + 3 - 3 - b**4 = 0. What is b?
0, 1
Let b(x) = -8*x**3 + 106*x**2 - 58*x - 38. Let u(a) = a**3 - a + 1. Let t(g) = 2*b(g) - 4*u(g). What is m in t(m) = 0?
-2/5, 1, 10
Let l(g) be the third derivative of 0*g + 0 + 1/156*g**4 + 10*g**2 + 1/390*g**5 + 0*g**3. Factor l(r).
2*r*(r + 1)/13
Let o(y) be the third derivative of y**5/300 - y**4/40 + y**3/15 + 43*y**2. Find u such that o(u) = 0.
1, 2
Let t(z) = -2*z**2 + 5*z - 2. Let f be t(3). Let o be (f/9)/((-10)/12). Factor 0*b - o*b**2 + 0*b**3 + 2/3*b**4 + 0.
2*b**2*(b - 1)*(b + 1)/3
Let f be (2/(-5))/(5 + 204/(-40)). Let n(m) be the second derivative of 0 + 1/6*m**f + 0*m**2 + m + 2/3*m**3. Determine p, given that n(p) = 0.
-2, 0
Let t be (-1667)/9 + 8/36. Let x = t - -569/3. What is u in -26/3*u**4 + 0 + 2/3*u + 10*u**3 - x*u**2 + 8/3*u**5 = 0?
0, 1/4, 1
Let k(z) be the first derivative of -z**2/2 + 10*z + 1. Let d be k(8). Find f such that -2*f**2 + d + 2*f**2 - 2*f**2 = 0.
-1, 1
Factor -10/7*q**2 + 2/7*q**4 + 0 - 2/7*q**3 - 6/7*q.
2*q*(q - 3)*(q + 1)**2/7
Let f = -1 + 3. Let k = f - 2. Factor w**4 - w**3 - w**3 + w**2 + k*w**2.
w**2*(w - 1)**2
Let j(r) = r**3 + 6*r**2 - 5*r - 8. Let x(z) = -6*z**3 - 42*z**2 + 36*z + 57. Let u(c) = 15*j(c) + 2*x(c). Solve u(w) = 0.
-2, -1, 1
Suppose 4 = 4*x - 2*n, -3*n - 6 = -0*n. Suppose 2*d - 4 = -x*d. Find m, given that 5*m - 4*m + m**d - 2*m**2 = 0.
0, 1
Let t(h) be the first derivative of -1/2*h - 5 - 1/3*h**3 - 3/4*h**2. Factor t(g).
-(g + 1)*(2*g + 1)/2
Suppose 10*a**3 - 4*a**4 - 8*a**2 + 13*a**2 + 9*a**4 = 0. Calculate a.
-1, 0
Determine g, given that 0 - 4*g**2 - 2*g + 5/2*g**3 = 0.
-2/5, 0, 2
Let f(k) be the second derivative of -k**5/10 - k**4/2 + k**3/3 + 3*k**2 - k. Find q such that f(q) = 0.
-3, -1, 1
Let a(o) be the first derivative of -o - 8/27*o**4 + 8/27*o**3 - 1/9*o**2 - 1. Let h(l) be the first derivative of a(l). Determine j so that h(j) = 0.
1/4
Let a be 3 - 4 - 4/(-1). Suppose 0 = a*u - 6*u + 18. Solve -2 + n**5 + 20*n**3 + 26*n**4 + 14*n**3 + u*n**5 + 16*n**2 - n = 0 for n.
-1, 2/7
Let k(x) = x**3 + 3*x**2 - 10*x + 2. Let a be k(-5). Let m(d) be the second derivative of 0*d**a + 1/24*d**3 + 2*d - 1/48*d**4 + 0. Factor m(t).
-t*(t - 1)/4
Factor 16/3 + 4/3*f**2 - 20/3*f.
4*(f - 4)*(f - 1)/3
Let i be (0/(-3 - -1))/(-2). Let h(u) be the third derivative of 0 - 2*u**2 + 0*u + 0*u**3 + i*u**4 - 1/90*u**5. Factor h(m).
-2*m**2/3
Suppose -6*p + 2 = -4*p. Determine y, given that -p + y - y**3 + y**2 + 0*y**3 + 0*y**2 = 0.
-1, 1
Let u(b) = b. Let j(l) = -2*l**2 - 9*l. Let s be (1/(-3))/(2/(-6)). Let p(q) = s*j(q) + 5*u(q). Factor p(z).
-2*z*(z + 2)
Factor 10/7*k + 0 - 2/7*k**3 + 8/7*k**2.
-2*k*(k - 5)*(k + 1)/7
Suppose 64/9*a - 80/9*a**3 - 128/9 - 2/9*a**5 + 22/9*a**4 + 88/9*a**2 = 0. Calculate a.
-1, 2, 4
Factor -5*a + 2*a**5 - a + 4*a - 4*a**2 + 4*a**4 + 0*a.
2*a*(a - 1)*(a + 1)**3
What is j in j**5 + 3*j**5 + 46*j**3 - 25*j**3 - 25*j**3 = 0?
-1, 0, 1
Let x(l) be the second derivative of 1/8*l**2 + 0 - l + 1/48*l**4 - 1/12*l**3. What is z in x(z) = 0?
1
Factor -4/7*a**2 - 8/7 - 12/7*a.
-4*(a + 1)*(a + 2)/7
Suppose 3*o + 27 = 3*f, 3*o - 28 = -3*f + 7*o. Let x = f + -6. Factor 1/2*m**x - 2*m + 2.
(m - 2)**2/2
Suppose r - 2*r = 0. Suppose -3*d + 2*d = r. Factor 2/5*u**4 - 4/5*u**2 + 0*u + d*u**3 + 2/5.
2*(u - 1)**2*(u + 1)**2/5
Let j be 4/10 - (-183)/35. Let t = j + -38/7. What is m in -t*m**3 + 1/5*m + 0*m**2 + 0 = 0?
-1, 0, 1
Let o be 4/21*3/2. Find r, given that 0 + 0*r + 4/7*r**3 - o*r**4 - 2/7*r**2 = 0.
0, 1
Let o = 264 + -264. Let 4/3*m**2 + 2/3*m + 2/3*m**3 + o = 0. Calculate m.
-1, 0
Let b(v) be the second derivative of -v**4/78 + 2*v**3/39 - 4*v. Determine q so that b(q) = 0.
0, 2
Let g(z) be the first derivative of 3/10*z**5 + 2 - 1/15*z**6 + 0*z**2 + 1/3*z**3 - 1/2*z**4 - 3*z. Let f(n) be the first derivative of g(n). Factor f(c).
-2*c*(c - 1)**3
Let d(a) be the first derivative of 0*a + 1/72*a**4 - 1 + 0*a**5 - 1/2*a**2 + 0*a**3 - 1/360*a**6. Let h(k) be the second derivative of d(k). Factor h(n).
-n*(n - 1)*(n + 1)/3
Let a(o) be the second derivative of 1/42*o**7 + 1/6*o**3 + 1/6*o**4 - 1/10*o**5 - 1/2*o**2 - 1/30*o**6 + 0 + 2*o. Factor a(h).
(h - 1)**3*(h + 1)**2
Solve -4*u**3 + 90*u**4 - 2 - 3*u - 88*u**4 + 7*u = 0 for u.
-1, 1
Suppose 4*a - 4 = 4. Find k, given that 18*k**3 + 18*k - k**2 + 0*k**4 + 0*k**3 + 4 + 29*k**a + 4*k**4 = 0.
-2, -1, -1/2
Let d(x) = x**3 + x**2 + x - 1. Let t(j) = 10*j**3 + 14*j**2 + 14*j - 6. Let z be (-8)/36 - (-70)/(-9). Let h(o) = z*d(o) + t(o). Factor h(v).
2*(v + 1)**3
Let n(d) = -d**3 - d**2 - 2*d - 2. Let g(r) = -3*r**3 - 3*r**2 - 6*r - 5. Let o(i) = 4*g(i) - 11*n(i). Let q be o(0). What is j in 2/9*j**q - 2/9*j + 0 = 0?
0, 1
Let b be (3 - (-120)/(-32))*4/(-6). Let b*n**2 + 1/2 + n = 0. What is n?
-1
Suppose 12 = -5*y + 2*y. Let g = y + 9. Suppose -v + 2*v - v**3 - v**3 + 2*v**5 - v**g = 0. Calculate v.
-1, 0, 1
Let o(k) = k**3 + 7*k**2 + 4*k - 4. Let y be o(-6). Suppose 2 = -3*m + y. Factor 0*u + m*u**4 + 2/3*u**5 + 4/3*u**3 + 0 + 0*u**2.
2*u**3*(u + 1)*(u + 2)/3
Let u(f) = -3*f**5 - f**4 + 5*f**3 - 9*f**2 - 7*f - 5. Let d(r) = -4*r**5 - 2*r**4 + 6*r**3 - 10*r**2 - 8*r - 6. Let k(n) = 5*d(n) - 6*u(n). Factor k(w).
-2*w*(w - 1)*(w + 1)**3
Let x(f) be the second derivative of f**6/120 - f**4/24 + f**2/8 - 6*f. Factor x(d).
(d - 1)**2*(d + 1)**2/4
Let n(j) be the first derivative of j**7/1120 + 4*j**3/3 - 4. Let z(y) be the third derivative of n(y). Factor z(b).
3*b**3/4
Let t(p) be the second derivative of -7/3*p**3 - 2*p**5 - 3*p**4 - 2*p - p**2 + 0 - 8/15*p**6. Factor t(n).
-2*(n + 1)*(2*n + 1)**3
Let b = 1594/3 + -526. Find u, given that 8/3*u**5 + b*u**4 + 10/3*u**3 + 0 + 0*u + 2/3*u**2 = 0.
-1, -1/2, 0
Factor 9/4 + 15/4*o - 3/4*o**3 + 3/4*o**2.
-3*(o - 3)*(o + 1)**2/4
Factor 15/2*l**2 - 15/2*l - 5/2*l**3 + 5/2.
-5*(l - 1)**3/2
Let g(u) be the second derivative of -u**5/10 + u**3/3 + 3*u. Factor g(l).
-2*l*(l - 1)*(l + 1)
Factor 3*i**2 - 2*i**2 - 12*i**3 - i**2 - 3*i**2 - 9*i**4.
-3*i**2*(i + 1)*(3*i + 1)
What is b in 4*b**2 - 2*b**2 - 3*b**2 - 2*b**2 + 3*b**4 = 0?
-1, 0, 1
Let f(v) be the second derivative of v**7/63 - v**5/15 + v**3/9 + 2*v. Determine z, given that f(z) = 0.
-1, 0, 1
Let i(n) be the third derivative of 0*n + 1/30*n**4 - 3*n**2 + 0 + 0*n**3 + 1/30*n**5. Determine t, given that i(t) = 0.
-2/5, 0
Let y(o) = -o**2 + 5*o**2 - 3*o**2 - 3*o + 2*o**3 - 3. Suppose 10*v = 13*v + 3. Let u(n) = n**3 - n - 1. Let r(s) = v*y(s) + 3*u(s). Factor r(z).
z**2*(z - 1)
Let r = 205 - 125. Let x be r/210 + 4/14. Factor -x*n - 4/9 - 2/9*n**2.
-2*(n + 1)*(n + 2)/9
Suppose -4*b + 72 = -0*b. Factor 5*j + 8*j - 5*j + 40*j**2 +