*5 + 0*x. Factor k(l).
(l - 1)**2
Let q(t) = 3*t**4 - 3*t**3 + 2*t**2 + 2*t + 2. Let c(w) = 4*w**4 - 4*w**3 + 3*w**2 + 3*w + 3. Let o(k) = -2*c(k) + 3*q(k). Factor o(b).
b**3*(b - 1)
Let s(k) be the first derivative of -1/3*k**6 - 2*k**5 - 2*k**2 - 9/2*k**4 + 0*k + 2 - 14/3*k**3. Suppose s(o) = 0. What is o?
-2, -1, 0
Let t be (-261)/(-36) - (-1)/(-4). Suppose 0 = 5*l + 4*y - 0*y - 7, 3*l - t = -y. Factor -2/5*x + 0 + 0*x**2 + 2/5*x**l.
2*x*(x - 1)*(x + 1)/5
Let l(r) be the second derivative of -3*r**5/40 + 5*r**4/24 + r**3/3 - r**2 - 7*r. Factor l(y).
-(y - 2)*(y + 1)*(3*y - 2)/2
Let k(s) be the first derivative of -2*s**3/3 + s**2 + 4*s + 39. Factor k(o).
-2*(o - 2)*(o + 1)
Suppose -10*x + 6*x + 180 = 0. Let z be 10/x - (-6)/(-27). Factor -2/3*i**5 + 4/9*i**2 + 16/9*i**4 + 0*i - 14/9*i**3 + z.
-2*i**2*(i - 1)**2*(3*i - 2)/9
Let s(c) be the first derivative of 2*c**5/15 - c**4/2 + 2*c**3/9 + c**2 - 4*c/3 + 16. Factor s(u).
2*(u - 2)*(u - 1)**2*(u + 1)/3
Let m = 37/24 + -1/24. Suppose -33 + 27 = -2*k. Factor 0*a**2 + m*a**3 + k*a**4 + 0*a + 3/2*a**5 + 0.
3*a**3*(a + 1)**2/2
Let m = -12 + 17. Let w be (1 + m)/((-2)/(-1)). Factor 2*o - 1 + 1 + 4*o**2 + 2*o**3 + 0*o**w.
2*o*(o + 1)**2
Let s = -798 - -15957/20. Let o = 1/10 - s. Factor -1/4*l**2 + o + 0*l.
-(l - 1)*(l + 1)/4
Let m(p) = -p**2 - 6*p - 6. Let q be m(-4). Let i be (-85)/(-25) - 6/q. Factor 2/5*g**3 - 2/5*g**5 + 0 + i*g**2 + 0*g - 2/5*g**4.
-2*g**2*(g - 1)*(g + 1)**2/5
Let l(i) be the first derivative of -4*i**3/3 + 24*i**2 - 144*i + 29. Let l(g) = 0. What is g?
6
Let r(k) be the second derivative of -1/50*k**5 + 3*k + 1/15*k**3 + 0 - 1/5*k**2 + 1/30*k**4. Let r(l) = 0. What is l?
-1, 1
Let j(n) be the first derivative of -2*n**3 - 20*n**2 + 14*n + 57. Find b such that j(b) = 0.
-7, 1/3
Let n(y) = -2*y**3 + 4*y. Let p(l) = 4*l**3 + l**2 - 9*l + 1. Let f(b) = -5*n(b) - 2*p(b). Let v(r) be the first derivative of f(r). Factor v(q).
2*(q - 1)*(3*q + 1)
Let g be (-20)/(-8)*14/7. Suppose 5*u - 4 = b + 3*b, 0 = -5*u + g*b. Find m, given that 0 + 3/5*m**3 + 0*m**2 + 0*m + 3/5*m**u = 0.
-1, 0
Let c(r) = -7*r - 105. Let v be c(-15). What is g in v + g**2 + 1/2*g + 1/2*g**3 = 0?
-1, 0
Let g be (-8)/(-44) + (-4150)/8547. Let k = -2/111 - g. Determine b so that -2/7*b**2 + 0*b + 0 - k*b**3 = 0.
-1, 0
Let l be 3/5 + (-2)/(-5). Let x be 0 + 0/(l - -2). Determine b so that 0 - 1/4*b**3 + x*b**2 + 1/4*b = 0.
-1, 0, 1
Let w(n) be the second derivative of n**4/9 + n**3/9 - n**2/3 - 3*n. Determine j so that w(j) = 0.
-1, 1/2
Suppose -c + 20 = -2*o - o, 2*c - 16 = 3*o. Let j be (-8 - o)/((-3)/1). Factor 0*g**4 - 2/9*g + 0 + 4/9*g**3 - 2/9*g**5 + j*g**2.
-2*g*(g - 1)**2*(g + 1)**2/9
Let y be -3*(1 - (1 - -1))*1. Solve -8/7*w**2 + 10/7*w + 2/7*w**y - 4/7 = 0 for w.
1, 2
Let v(l) = 2*l**3 - 11*l. Let z(f) = -4*f**3 + 21*f. Let k = 2 + 1. Let b(t) = k*z(t) + 5*v(t). Determine q so that b(q) = 0.
-2, 0, 2
Let w(r) be the first derivative of -r**4/10 - 2*r**3/5 - 3*r**2/5 - 2*r/5 - 11. Suppose w(l) = 0. Calculate l.
-1
Let q(m) be the first derivative of 1/9*m**3 - 1/3*m - 1 + 0*m**2. Factor q(o).
(o - 1)*(o + 1)/3
Find k, given that 1/6*k**2 - 11/3*k + 121/6 = 0.
11
Let d(h) be the first derivative of 2/21*h**3 + 0*h**2 + 0*h + 2 + 1/14*h**4. Factor d(x).
2*x**2*(x + 1)/7
Let a = -9 - -11. Let -3*w - a*w + 4 - 3*w + 2*w**2 + 4 = 0. What is w?
2
Suppose -9 = -2*y - 3. Suppose -2*z**2 - 8*z + 2*z**2 - z**2 - y*z**2 = 0. What is z?
-2, 0
Let k(q) be the first derivative of -q**6/12 + q**4/4 - q**2/4 + 16. Solve k(v) = 0.
-1, 0, 1
Let i(n) be the first derivative of n**5/60 - n**3/12 - n**2/12 + 10. Suppose i(g) = 0. Calculate g.
-1, 0, 2
Let m(y) = -y**3 - 7*y**2 - 9*y - 15. Let t be m(-6). Solve g + 2*g**2 + 2*g + 0*g - 2*g**4 + 2*g**t - 5*g = 0.
-1, 0, 1
Factor 0 + 4/11*c**2 + 2/11*c**3 - 6/11*c.
2*c*(c - 1)*(c + 3)/11
Let v = -19 - -23. Suppose 0 = 7*i - v*i. Let 0 + 2/3*q**4 + i*q**3 + 0*q + 0*q**2 = 0. What is q?
0
Let u(i) = 3*i**5 - 2*i**3 - 4*i**2 + 7*i - 4. Let s(c) = 3*c**5 - 3*c**3 - 3*c**2 + 6*c - 3. Let k(r) = 4*s(r) - 3*u(r). Suppose k(f) = 0. Calculate f.
-1, 0, 1
Let o = -28/11 - -263/99. Let i(z) be the first derivative of 0*z + 2/45*z**5 + 4 + 2/27*z**3 + o*z**4 + 0*z**2. What is k in i(k) = 0?
-1, 0
Let n(v) = -v + 2. Let j be n(2). Let c be 0/(-1) - 0/2. Find s such that 1/2*s**2 + j*s + c + 1/2*s**3 = 0.
-1, 0
Let r be ((-12)/18)/((-2)/27). Suppose 0 = 4*k - r*k. Determine u, given that 0*u + 2/7*u**2 + k = 0.
0
Let y(r) be the second derivative of -r**6/45 + r**5/10 + r**4/6 - 7*r**3/9 - 2*r**2 - 25*r. Suppose y(o) = 0. What is o?
-1, 2, 3
Let b(r) be the third derivative of 0*r + 1/105*r**7 - 1/30*r**5 + 0 + 0*r**3 + 4*r**2 + 0*r**6 - 1/336*r**8 + 1/24*r**4. Let b(q) = 0. Calculate q.
-1, 0, 1
Let t = 0 - -4. Suppose 2*n + 2*s - 4 = 6*s, 2*s + 8 = t*n. Factor -1/4 + 0*r + 1/4*r**n.
(r - 1)*(r + 1)/4
Let j be ((-6)/(-5))/(12/(-30)). Let b(t) = t**4 - t**3 + 1. Let c(o) = 3*o**3 - 6*o**2. Let y(d) = j*b(d) - c(d). Suppose y(r) = 0. Calculate r.
-1, 1
Let r(w) be the first derivative of w**5/180 + w**4/36 + w**3/18 + w**2/2 - 3. Let k(l) be the second derivative of r(l). Factor k(o).
(o + 1)**2/3
Suppose -11*z = -14*z + 6. Find n such that 1/4*n**3 + 1/2*n**4 + 1/4*n**5 + 0 + 0*n + 0*n**z = 0.
-1, 0
Let a(m) = 7*m + 6. Let u(o) = 6*o + 5. Let c(s) = 4*a(s) - 5*u(s). Let n be c(-2). Factor -2*t**3 - t**3 + 2*t + 0*t**3 + t**n.
-2*t*(t - 1)*(t + 1)
Let g(v) = 2*v**2 + 3*v - 3. Let c be g(-3). Suppose -c = -3*h + 9. What is d in 80*d**2 + 8*d + 74*d**4 + 168*d**h + 377*d**3 - 103*d**3 + 296*d**4 = 0?
-1, -2/3, -2/7, -1/4, 0
Let a be 2/14 - 345/(-35). Let i = a - 7. Determine s so that -3/2*s**i - 1/2*s + 0 - 1/2*s**4 - 3/2*s**2 = 0.
-1, 0
Suppose o = -2*o. Suppose -2 = -5*t + 3*j + 5, 4*t - 4*j - 4 = o. Factor 1/2*a**t - 2*a + 2.
(a - 2)**2/2
Let -m**2 + 1/3*m**3 + 0 + 2/3*m = 0. What is m?
0, 1, 2
Determine y so that -1/6 - 1/6*y**2 - 1/3*y = 0.
-1
Suppose -4*d + 2*l = -0*l - 68, 3*d - 38 = -5*l. Let f = -14 + d. Determine w, given that -1/6 + 1/6*w**f - 1/6*w + 1/6*w**3 = 0.
-1, 1
Let p = 10 + -5. Suppose 3*c + 4 = p*c. Let v**5 + 4*v**4 - 2*v**c + 8*v**2 + 6*v**3 + v - 2*v**2 = 0. What is v?
-1, 0
Factor -5/2*r**3 - 3/2*r + 0 + 1/2*r**4 + 7/2*r**2.
r*(r - 3)*(r - 1)**2/2
Factor 12/7*a**2 + 8/7*a**3 + 8/7*a + 2/7*a**4 + 2/7.
2*(a + 1)**4/7
Let o(w) be the third derivative of w**9/30240 - w**8/2688 + w**7/840 + w**6/360 + w**5/20 - 3*w**2. Let k(z) be the third derivative of o(z). Factor k(v).
(v - 2)**2*(4*v + 1)/2
Let n(b) = -b + 9. Let k be n(5). Let z(v) be the second derivative of -v**3 + 2*v**2 + v + 0 + 1/6*v**k. Find x, given that z(x) = 0.
1, 2
Suppose 0*c = -3*c + 12. Suppose -4*r**2 + 3*r + 4*r**c - 7*r + 89 + 4*r**3 - 89 = 0. Calculate r.
-1, 0, 1
Let f(j) be the third derivative of j**5/180 - j**4/72 - j**3/9 - 6*j**2. Factor f(t).
(t - 2)*(t + 1)/3
Let s(z) be the first derivative of z**5/180 - z**4/36 + z**3/18 - z**2/2 + 5. Let h(l) be the second derivative of s(l). Determine f, given that h(f) = 0.
1
Let a(f) be the second derivative of f**7/2940 - f**6/630 + f**3/2 - 4*f. Let t(r) be the second derivative of a(r). Factor t(y).
2*y**2*(y - 2)/7
Suppose 8/3*o - 6*o**2 + 5/3*o**5 + 6*o**4 - 13/3*o**3 + 0 = 0. Calculate o.
-4, -1, 0, 2/5, 1
Let v(p) be the third derivative of -p**6/120 - p**5/60 - 9*p**2. Let v(f) = 0. Calculate f.
-1, 0
Factor 0 + 0*a - 2*a**4 + 4/5*a**2 - 6/5*a**3.
-2*a**2*(a + 1)*(5*a - 2)/5
Let m(g) be the second derivative of 5*g**7/126 + g**6/90 + 16*g. Suppose m(c) = 0. What is c?
-1/5, 0
Let y(v) = v**2. Suppose 0*b + 2 = -b. Let i be y(b). Factor -i*f**4 + 0*f**3 + 0*f**3 + 5*f**4.
f**4
Let v = 4/109 + 311/436. Let x(i) be the first derivative of -2/3*i**6 - 4/3*i**3 + 1/2*i**2 + 0*i + v*i**4 + 2 + 4/5*i**5. Suppose x(z) = 0. Calculate z.
-1, 0, 1/2, 1
Let h be 2/(-10) - 168/(-40). Let j(s) be the third derivative of 0 - 1/12*s**h - 1/30*s**5 + 2/3*s**3 + 2*s**2 + 0*s. Determine i, given that j(i) = 0.
-2, 1
Let m(t) be the second derivative of -t**5/2 + 15*t**4/8 - 5*t**3/2 + 5*t**2/4 - 19*t. Factor m(z).
-5*(z - 1)**2*(4*z - 1)/2
Let a(f) be the first derivative of f**5/5 + 11*f**4/8 + 19*f**3/6 + 13*f**2/4 + 3*f/2 - 37. Let a(p) = 0. Calculate p.
-