- 1)*(b + 1)**2/7
Factor -8/11*l - 4/11*l**2 + 2/11*l**3 + 16/11.
2*(l - 2)**2*(l + 2)/11
Solve -6*a**5 + 3*a**3 + 0*a + 0 - 5/2*a**4 - 1/2*a**2 = 0.
-1, 0, 1/4, 1/3
Suppose 0 = -161*x + 166*x. Suppose 8/3*f**3 - 2/3*f**2 + 0*f + x - 2*f**4 = 0. What is f?
0, 1/3, 1
Let h(y) be the first derivative of -2*y**7/735 - y**6/140 - y**5/210 + y**2/2 - 2. Let g(o) be the second derivative of h(o). Factor g(j).
-2*j**2*(j + 1)*(2*j + 1)/7
Let u(s) = 3*s**3 - 18*s**2 + 36*s - 24. Let o(l) = -48 + 72*l - 17*l**2 - 6*l**2 - 13*l**2 + 6*l**3. Let c(a) = 3*o(a) - 7*u(a). Let c(q) = 0. What is q?
2
Let a be (-11)/(-33)*(-4)/1 + 3. What is k in 25/3*k**3 - 16/3*k + a*k**2 + 4/3 = 0?
-1, 2/5
Let m(r) be the third derivative of r**5/90 + r**4/24 - r**3/9 + 11*r**2. Factor m(v).
(v + 2)*(2*v - 1)/3
Let 5/4*i**3 + 5/4*i**4 - 15/4*i**2 - 5/2 - 25/4*i = 0. What is i?
-1, 2
Let q(j) be the first derivative of j**6/15 - 6*j**5/25 + 3*j**4/10 - 2*j**3/15 - 8. Factor q(x).
2*x**2*(x - 1)**3/5
Let w = -10 + 12. Solve 19*r**5 - 21*r**5 - w*r**2 + 2*r**3 + 3*r**4 - r**4 = 0.
-1, 0, 1
Let p(u) = 20*u**3 + 240*u**2 + 976*u + 1280. Let y(z) = 4*z**3 + 48*z**2 + 195*z + 256. Let w(a) = 3*p(a) - 16*y(a). Let w(q) = 0. Calculate q.
-4
Let s be (-1)/(-12)*(-48)/(-120). Let t(l) be the second derivative of l**2 - 2*l - s*l**6 + 1/20*l**5 + 0 - 5/6*l**3 + 1/4*l**4. Factor t(c).
-(c - 1)**3*(c + 2)
Let r = 70 + -67. Find y such that -2/5*y**4 - 2/5*y**r + 0 + 2/5*y**2 + 2/5*y**5 + 0*y = 0.
-1, 0, 1
Let d be (-240)/(-21) + -7 - (5 - 1). Find w such that -d*w**2 + 9/7 + 6/7*w = 0.
-1, 3
Let o(p) be the first derivative of -3*p**5/5 + 21*p**4/4 - 16*p**3 + 18*p**2 + 11. Suppose o(x) = 0. Calculate x.
0, 2, 3
Let d(m) be the third derivative of 0*m**3 + 0*m - 1/300*m**6 - 4*m**2 - 1/300*m**5 - 1/1050*m**7 + 0*m**4 + 0. Factor d(s).
-s**2*(s + 1)**2/5
Let j = 77/5 - 15. Factor j - 2/5*u**2 + 2/5*u - 2/5*u**3.
-2*(u - 1)*(u + 1)**2/5
Let a be -4 + (-7 - -1)/(-1). Suppose 4*y + a*u + 5 = 1, 0 = y + 4*u + 8. Factor 4/3*l - 2/3*l**2 - 2/3*l**3 + y.
-2*l*(l - 1)*(l + 2)/3
Suppose -2 + 0 = 2*y - 3*h, 5*h = 20. Suppose 0 = -5*w + w, 0 = -5*q - y*w + 10. Find t such that -2*t**q + 14/9*t + 4/9 = 0.
-2/9, 1
Let g(v) be the third derivative of -1/420*v**6 + 0 + 0*v**4 + v**2 - 1/735*v**7 + 0*v + 0*v**3 + 1/105*v**5. Let g(t) = 0. What is t?
-2, 0, 1
Let f(n) be the second derivative of 0*n**4 + 2*n**2 + 5*n + 0 - n**3 + 1/10*n**5. Find k such that f(k) = 0.
-2, 1
Suppose -16 = 2*a - 4*w - 40, -2*w = -2*a + 18. Let b be (-9)/a + 535/30. Let 0 + b*x**3 + 4/3*x + 28/3*x**2 = 0. Calculate x.
-2/7, 0
Suppose -10 = -r + 4*p, 1 = -3*r - 2*r + 3*p. Let q be 3/(3/r) + 7. Determine l so that 2*l**3 + 5*l**3 - q*l**3 - 2*l**5 = 0.
-1, 0, 1
Suppose 4*c + 3*d = -0*d - 15, 10 = -4*c - 2*d. Determine l, given that -2/5*l**2 + c - 4/5*l = 0.
-2, 0
Let y(k) be the second derivative of -k**5/240 + k**3/24 - 2*k**2 - 3*k. Let w(z) be the first derivative of y(z). Factor w(v).
-(v - 1)*(v + 1)/4
Let c(q) be the second derivative of 1/28*q**7 + 0*q**3 - 9*q + 1/2*q**5 + 7/30*q**6 + 1/3*q**4 + 0*q**2 + 0. Let c(x) = 0. What is x?
-2, -2/3, 0
Let b(n) = n**3 - 17*n**2 - 15*n - 52. Let k be b(18). Let 0 + u - 1/3*u**k = 0. What is u?
0, 3
Let p be (-24)/(-3) + (0 - 1). Factor o**2 + p*o - 3 + 6*o - 5*o**2.
-(o - 3)*(4*o - 1)
Let i(k) = -15*k**3 - 465*k**2 - 720*k - 336. Let h(x) = -x**3 - 29*x**2 - 45*x - 21. Let c(t) = 33*h(t) - 2*i(t). Find q such that c(q) = 0.
-7, -1
Let u(r) be the second derivative of -r**6/10 + 21*r**5/20 - 15*r**4/4 + 9*r**3/2 - 3*r. Factor u(b).
-3*b*(b - 3)**2*(b - 1)
Suppose -5*j + 55 = -0. Let f be 97/11 - (-2)/j. Suppose -f*b**2 - 9*b - 6*b**3 - 4 - 5*b - 7*b**2 = 0. Calculate b.
-1, -2/3
Let a = 106/7 - 940/63. Let v(x) be the first derivative of 2 + 2/3*x + 0*x**2 - a*x**3. Factor v(k).
-2*(k - 1)*(k + 1)/3
Determine u, given that u - 4*u**5 - 10*u**4 + u**2 + u - 6*u**3 + u**2 = 0.
-1, 0, 1/2
Let p(v) be the first derivative of 3/4*v**4 + 4*v + 3 - 7/3*v**3 + 0*v**2. Factor p(y).
(y - 2)*(y - 1)*(3*y + 2)
Let v = 103/10 - 49/5. Factor 0*g**2 + v*g + 1/4*g**4 - 1/4 - 1/2*g**3.
(g - 1)**3*(g + 1)/4
Let q(y) be the second derivative of 1/4*y**2 - 1/160*y**5 - 1/32*y**4 - 2*y + 0*y**3 + 0. Factor q(s).
-(s - 1)*(s + 2)**2/8
Let q(b) be the second derivative of b**5/5 + 2*b**4/3 - 14*b**3/3 + 8*b**2 + 13*b. Let q(m) = 0. Calculate m.
-4, 1
Let f = -11 + 12. Let g(h) = 5*h - 1. Let u be g(f). Factor -4/3*k**2 + 8/9*k**3 + 8/9*k - 2/9 - 2/9*k**u.
-2*(k - 1)**4/9
Suppose 2*k - 2*n + 4*n - 4 = 0, 2*n + 20 = 4*k. Let v be 22/18 - (k - 3). Factor -6 - 2*l**2 + 6*l + v*l**3.
2*(l - 3)**3/9
Factor -2*k**2 + 177 - 696 - 129 + 21*k + 51*k.
-2*(k - 18)**2
Let h(c) = 3*c. Let g be 58/(-8) - 4/(-16). Let d(f) = -f**2 + 7*f + 1. Let w(l) = g*h(l) + 3*d(l). Determine a so that w(a) = 0.
-1, 1
Let o = -30 + 38. Let h be (-1 - o/(-44)) + 1. Let 0 - 2/11*j**2 + h*j = 0. Calculate j.
0, 1
Let c = -9 - -13. Factor -2*t**c + 3*t**3 + t**4 - 3*t - 2 - t**2 + 4.
-(t - 2)*(t - 1)**2*(t + 1)
Let v(b) be the second derivative of 0 - 2/75*b**6 - 1/105*b**7 + 1/15*b**4 + 0*b**5 + 1/15*b**3 + 0*b**2 - b. Factor v(d).
-2*d*(d - 1)*(d + 1)**3/5
Let b(l) be the second derivative of -l**6/60 + 3*l**5/40 - l**4/24 - l**3/4 + l**2/2 - 51*l. Determine s, given that b(s) = 0.
-1, 1, 2
Factor m**2 - 5*m**2 + 115*m**5 + 115*m**5 - 3*m**3 - 229*m**5 + 2*m**4 + 4*m.
m*(m - 1)**2*(m + 2)**2
Let i = 3 - 1. Suppose n + i = 6. Determine t, given that 2*t**n - 4*t - t**4 - t**2 + 3*t + t**3 = 0.
-1, 0, 1
Determine d, given that -9/7*d - 12/7 + 18/7*d**2 + 15/7*d**3 = 0.
-1, 4/5
Let n(q) = 8*q**2 + 14*q + 16. Let o(l) = -l**2 - l - 2. Let k(i) = -n(i) - 5*o(i). Suppose k(r) = 0. What is r?
-2, -1
Suppose 4*y - 2 - 10 = 0. Suppose -t - 23 = -5*n + y*t, -n = 4*t + 5. Determine p, given that -2*p**3 - p**3 - 4 - 24*p - n - 15*p**2 - 5 = 0.
-2, -1
Let c(w) = 8*w**2 - 8*w - 4. Let g(r) be the second derivative of 5*r**4/4 - 5*r**3/2 - 4*r**2 + r. Let b(h) = -11*c(h) + 6*g(h). Solve b(q) = 0 for q.
-1, 2
Suppose 2*o + 0*s - 3*s = -12, -o + 8 = 2*s. Let j = -5 + 10. Factor o*y**3 - y**4 - 2*y**5 + 14*y**j - y**3.
y**3*(3*y - 1)*(4*y + 1)
Solve -9*b - 3 + 15/4*b**3 - 9/4*b**2 = 0 for b.
-1, -2/5, 2
Let y(l) be the second derivative of l**6/120 + 3*l**5/10 + 3*l**4 + 2*l - 6. Factor y(m).
m**2*(m + 12)**2/4
Let w(a) be the first derivative of -a**5/20 - a**4/8 - a**3/12 + 2. Let w(i) = 0. Calculate i.
-1, 0
Let b(h) be the second derivative of h**6/105 - h**4/14 + 2*h**3/21 + 3*h. Determine a so that b(a) = 0.
-2, 0, 1
Let q(j) be the second derivative of 0 + 1/5*j**5 - 1/30*j**6 + 1/3*j**3 - 5/12*j**4 + 3*j + 0*j**2. Determine g, given that q(g) = 0.
0, 1, 2
Let f(r) be the second derivative of 0*r**3 - 1/10*r**5 - 1/2*r**4 + 4*r**2 + 0 - 2*r. Let f(u) = 0. What is u?
-2, 1
Suppose -2/7*h**5 + 0 + 8/7*h - 2/7*h**4 - 22/7*h**2 + 18/7*h**3 = 0. What is h?
-4, 0, 1
Let z(o) be the third derivative of -o**9/4536 + o**7/630 - o**5/180 + o**3/2 - 3*o**2. Let h(t) be the first derivative of z(t). Factor h(d).
-2*d*(d - 1)**2*(d + 1)**2/3
Let s(k) = -5*k**4 + 5*k**3 + 5*k**2 - 11*k. Let g(o) = 70*o**4 - 70*o**3 - 70*o**2 + 155*o. Let w(i) = -6*g(i) - 85*s(i). Factor w(m).
5*m*(m - 1)**2*(m + 1)
Suppose 3*v - 3*v - 5*v = 0. Factor 2/3*h**5 + v*h**2 + 0*h + 0 + 4/3*h**4 + 2/3*h**3.
2*h**3*(h + 1)**2/3
Suppose l - 10 = 3*l, -3*k + l = 1138. Let c = k - -1159/3. Let -c*w + 4/3 + 7/3*w**2 = 0. Calculate w.
2/7, 2
Let k(s) = -5*s**2. Let a(v) = -5*v**2. Let b(q) = 5*a(q) - 6*k(q). Suppose b(n) = 0. Calculate n.
0
Let d(s) = 15*s**2 + 20*s - 12. Let v(c) = -c. Let r(j) = d(j) - 4*v(j). Determine n so that r(n) = 0.
-2, 2/5
Let d be (-2)/4*(3 - 3). Let q(h) be the second derivative of d*h**6 + 0 - 2*h + 0*h**2 + 0*h**3 + 0*h**4 + 0*h**5 - 1/42*h**7. What is b in q(b) = 0?
0
Let h(b) = -3*b**3 - 2*b**2 + b - 2. Let q(a) = -3*a**2 + 1 + a**2 - a + a**2. Let n(v) = -h(v) - 2*q(v). Factor n(r).
r*(r + 1)*(3*r + 1)
Factor 1/2*k + 0 + 1/2*k**2.
k*(k + 1)/2
Let n(f) be the second derivative of 2*f**4/9 + 2*f**3/9 + f**2/12 + 2*f. Solve n(l) = 0 for l.
-1/4
Let u be (-9)/(-2)*8/12. Factor -4*c**3 + 6*c**3 - c**u - 2*c**3 + c.
-c*(c - 1)*(c + 1)
Let g(i) be the sec