Factor y(a).
-2*a*(a + 2)
Factor 0 - 1/2*d - 1/8*d**3 - 1/2*d**2.
-d*(d + 2)**2/8
Find g such that 11 - 3*g**3 - 5*g**2 + 12*g**2 - 5*g**2 + 18*g**2 + 17*g**2 - 45*g = 0.
1/3, 1, 11
Let i(f) be the second derivative of -2*f**5/5 - f**4/3 + 10*f**3/3 - 4*f**2 + 10*f - 7. Determine d, given that i(d) = 0.
-2, 1/2, 1
Let x(s) be the first derivative of -s**5 + 15*s**4/2 - 25*s**3/3 + 129. Solve x(k) = 0.
0, 1, 5
Let n(h) be the first derivative of 56*h**3/3 - 71*h**2 + 352*h - 1. Let k(x) = 5*x**2 - 13*x + 32. Let z(j) = -68*k(j) + 6*n(j). Factor z(y).
-4*(y - 4)**2
Let c = 6380/9 + -708. Let a be 7/21 + (-5)/(-3). Find i, given that c*i + 2/9*i**a + 8/9 = 0.
-2
Let x(j) be the third derivative of -j**7/3780 + j**6/810 + j**5/540 - j**4/54 + 5*j**3/3 + 17*j**2. Let n(d) be the first derivative of x(d). Solve n(y) = 0.
-1, 1, 2
Let c(x) = x**2 + 60*x - 150. Let h(q) be the second derivative of 10*q**3/3 - 25*q**2 + q. Let i(m) = 2*c(m) - 7*h(m). What is n in i(n) = 0?
5
Let f(u) = 9*u**3 - 28*u**2 + 24*u - 5. Let j(p) = -4*p**3 + 14*p**2 - 12*p + 2. Let v(q) = -4*f(q) - 10*j(q). Suppose v(l) = 0. Calculate l.
0, 1, 6
Factor -a - 4/3 + 1/3*a**2.
(a - 4)*(a + 1)/3
Let s(k) be the third derivative of 7*k**5/5 - 65*k**4/6 + 4*k**3 - 2*k**2 - 1. What is x in s(x) = 0?
2/21, 3
Let s be (-132)/(-52)*22/121. Let 0 + 0*m - 16/13*m**3 - 8/13*m**5 - 30/13*m**4 + s*m**2 = 0. Calculate m.
-3, -1, 0, 1/4
Suppose 3*q - 134 = 5*r - 97, 4*r = 5*q - 40. Find d, given that 2/21*d**3 + 4/21*d**2 + 0 - 2/21*d**q + 0*d = 0.
-1, 0, 2
Let g(z) = 2*z**3 + 16*z**2 - 15*z + 21. Let x be g(-9). Let k(o) = -2*o**2 - 12*o + 2. Let i be k(x). Factor 0*t**3 + 0*t + 2/11*t**4 - 8/11*t**i + 0.
2*t**2*(t - 2)*(t + 2)/11
Find f such that -42*f - 24*f - 99*f**3 + 16*f**2 - 18*f + 103*f**3 = 0.
-7, 0, 3
Let d = -4827 - -4833. Factor 3/2*f**2 + d + 6*f.
3*(f + 2)**2/2
Suppose 2*v - 3*v + 5*z = 10, -5*v = -4*z + 8. Factor 0*y - 3/5*y**4 + 0 + v*y**3 + 12/5*y**2.
-3*y**2*(y - 2)*(y + 2)/5
Let i(z) = -6*z**2 - 55*z + 61. Let w(x) = -3*x**2 - 27*x + 30. Let p(g) = -3*i(g) + 7*w(g). Factor p(h).
-3*(h - 1)*(h + 9)
Suppose -2*d + 4*d - 32 = 0. Solve 0*o**3 + d*o**4 - o**2 + 6*o**3 - 3*o**2 + 6*o**5 = 0 for o.
-2, -1, 0, 1/3
Let z(h) be the third derivative of h**8/11760 - h**7/1960 + h**5/210 - 5*h**3/2 + 16*h**2. Let o(p) be the first derivative of z(p). Let o(q) = 0. Calculate q.
-1, 0, 2
Let q(v) be the first derivative of -v**6/12 + 6*v**5/5 + 3*v**4/8 - 17*v**3/3 - 6*v**2 + 61. Determine c, given that q(c) = 0.
-1, 0, 2, 12
What is b in 3/7*b**2 - 25*b - 118/7 = 0?
-2/3, 59
Let k(s) be the second derivative of s**8/6720 - s**7/2520 - s**6/720 + s**5/120 - 11*s**4/12 + 10*s. Let a(c) be the third derivative of k(c). Factor a(g).
(g - 1)**2*(g + 1)
Let z = -1831 + 5542/3. Suppose -14 - 16 = -6*k. Find v such that 0 - z*v**k + 224/3*v**4 - 16/3*v + 128/3*v**2 - 104*v**3 = 0.
0, 2/7, 2
Let p(d) = 7*d**3 - 24*d**2 - 31*d + 50. Let j(r) = -9*r**3 + 24*r**2 + 30*r - 48. Let l(w) = 2*j(w) + 3*p(w). What is z in l(z) = 0?
-2, 1, 9
Let y = 917/6 - 6359/42. Factor -y*v - 2/7*v**3 - 4/7 - 8/7*v**2.
-2*(v + 1)**2*(v + 2)/7
Let x(o) = -4*o + 22. Let i be x(4). Factor -j**2 - 10 - j**2 + 5*j + i*j**2 + j**2.
5*(j - 1)*(j + 2)
Let b(i) = -2*i**5 - 10*i**4 - 4*i**3 + 10*i**2 - 6*i. Let p(m) = -m**4 - m**3 + m**2 - m. Let v(a) = -b(a) + 6*p(a). Suppose v(r) = 0. Calculate r.
-2, -1, 0, 1
Factor 0 + 0*b + 22/7*b**3 - 60/7*b**2 - 2/7*b**4.
-2*b**2*(b - 6)*(b - 5)/7
Let t be 124 - -1*(2 - 5). Let -a - a + 2*a**2 - 125 + t = 0. What is a?
-1, 2
Let d(u) = u**3 + 21*u**2 + u + 30. Let r be d(-21). Factor -2*a**2 + a**3 - 5*a**4 - 2*a**2 + a - 2*a**3 + r*a**2.
-a*(a - 1)*(a + 1)*(5*a + 1)
Factor -3*g + 1/4*g**2 - 13/4.
(g - 13)*(g + 1)/4
Let y(b) be the second derivative of -b**5/90 - b**4/18 + 2*b**3/9 + 8*b**2/9 - b + 35. What is f in y(f) = 0?
-4, -1, 2
Let r be -3 + -4 - (-30)/6*6/4. Factor -9/8*x - 1/8*x**3 + r + 3/4*x**2.
-(x - 4)*(x - 1)**2/8
Factor -34165 - i**3 + 1045*i + 130*i**2 + 36585 + 6*i**3.
5*(i + 4)*(i + 11)**2
Let s(h) = -18*h**3 + 24*h**2 - 6*h + 15. Let r(b) = b**3 - b**2 - 1. Let k = 62 + -61. Let n(v) = k*s(v) + 15*r(v). Determine c, given that n(c) = 0.
0, 1, 2
Let f = -80879/40 - -2022. Let a(s) be the third derivative of 1/4*s**4 - f*s**5 + 10*s**2 + 0 + 0*s - s**3. Find n, given that a(n) = 0.
2
Solve 4/5*t**3 - 2/5*t**5 + 8/5*t**4 - 2/5*t + 8/5 - 16/5*t**2 = 0 for t.
-1, 1, 4
Let r = -18/995 - -416/995. Let 2/5 - r*u**3 - 2/5*u**2 + 2/5*u = 0. Calculate u.
-1, 1
Let n(v) be the first derivative of v**5/12 + 5*v**4/8 + 4*v**2 - 15. Let x(r) be the second derivative of n(r). Determine u so that x(u) = 0.
-3, 0
Let z = 16231/6087 - -1/6087. Find f such that 8/9*f + 2/9*f**2 - z = 0.
-6, 2
Let k(h) = -784*h**2 + 331*h - 31. Let b(i) = -392*i**2 + 166*i - 16. Let s(t) = 5*b(t) - 2*k(t). Factor s(j).
-2*(14*j - 3)**2
Let m = 41092/395 + 440/79. Let d = m - 109. Factor -d*p**2 - 3/5*p + 6/5.
-3*(p - 1)*(p + 2)/5
Let s(r) be the first derivative of -4*r**2 + 26 - 116/3*r**3 + 0*r. Factor s(q).
-4*q*(29*q + 2)
Let j = 82 + -77. Let q(h) be the first derivative of -4/3*h**3 + 7/2*h**4 + 1 - 8/5*h**j - h**2 + 0*h. Suppose q(i) = 0. Calculate i.
-1/4, 0, 1
Let c = 74 + -75. Let r be (-60)/45*c/12. Factor 0*g + 0 - r*g**4 - 1/9*g**2 - 2/9*g**3.
-g**2*(g + 1)**2/9
Let f(l) be the third derivative of l**5/360 - 19*l**4/72 + 361*l**3/36 + 79*l**2. Determine b, given that f(b) = 0.
19
Suppose -7*m**2 - m**4 - 16*m - 96 + 48*m**2 + 5*m**4 + 36*m**3 + 31*m**2 = 0. What is m?
-6, -2, 1
Let k(m) be the third derivative of -m**8/1176 + m**7/245 + m**6/28 + 17*m**5/210 + m**4/14 + 678*m**2. Suppose k(c) = 0. Calculate c.
-1, 0, 6
Let i = 32 - 32. Let n = -9 - -11. Factor 1/4*g**n + i + 1/4*g.
g*(g + 1)/4
Let s(a) = -a**2 - 1. Let v(k) = -k**3 - k**2 - k - 3. Let j(o) = -2*s(o) + v(o). Let i(l) = 29*l**3 - 114*l**2 + 3*l + 9. Let y(n) = i(n) + j(n). Factor y(c).
(c - 4)*(4*c + 1)*(7*c - 2)
Let p(r) be the third derivative of -r**7/105 + 7*r**6/60 - r**5/5 + 14*r**2. Factor p(v).
-2*v**2*(v - 6)*(v - 1)
Suppose -3*n + 3*y = -36, 4*n - 4 = 3*y + 38. Factor 18/5 + 14/5*f**2 + 2/5*f**3 + n*f.
2*(f + 1)*(f + 3)**2/5
Let n(u) be the second derivative of u**4/12 - 29*u**3/6 - 6*u + 8. Let n(g) = 0. What is g?
0, 29
Let x(p) be the first derivative of p**8/378 - p**7/105 + p**6/270 - 11*p**2 + 10. Let i(m) be the second derivative of x(m). What is g in i(g) = 0?
0, 1/4, 2
Let d(h) = 8*h**4 + 18*h**3 - 6*h. Let s(w) = -8*w**4 - 19*w**3 + w**2 + 7*w. Let g(r) = 5*d(r) + 4*s(r). Find u, given that g(u) = 0.
-1, 0, 1/4
Suppose 3*v - 33 = -30. Factor 7 - 6*m + v + 0 + 0*m**2 - 2*m**2.
-2*(m - 1)*(m + 4)
Let q(h) = -h**2 - 6*h. Suppose 0 = 3*d + 2*d + 70. Let v(g) = g - 1 + 1. Let f(w) = d*v(w) - 2*q(w). Solve f(t) = 0 for t.
0, 1
Let h(s) be the second derivative of -26*s - 11/42*s**4 + 2/7*s**3 + 0 + 1/30*s**5 + 8/21*s**2. Let h(r) = 0. What is r?
-2/7, 1, 4
Suppose 0 = -35*x + 365 - 295. Factor d**3 + 0 + 1/3*d**4 + 0*d + 2/3*d**x.
d**2*(d + 1)*(d + 2)/3
Let v be (-20)/120 + 3/6. Factor 0 + 1/3*u**2 + v*u.
u*(u + 1)/3
Let q(u) be the first derivative of -2*u**3/9 + 5*u**2/3 - 4*u - 49. Factor q(y).
-2*(y - 3)*(y - 2)/3
Let w(a) = -4*a**3 - 12*a**2 - 2. Let p(j) = j**3 - j**2 + 1. Let t(f) = 2*p(f) + w(f). Determine o so that t(o) = 0.
-7, 0
Let k(z) be the second derivative of -5*z**4/48 - 325*z**3/24 - 315*z**2/4 + 3*z - 91. Solve k(c) = 0.
-63, -2
Let p(u) be the first derivative of u**4/22 + 20*u**3/33 + 17*u**2/11 + 16*u/11 + 138. Suppose p(z) = 0. What is z?
-8, -1
Solve -2/5*z**3 + 4/5*z**4 - 8/5*z**2 + 1/5*z + 4/5 + 1/5*z**5 = 0.
-4, -1, 1
Let t(b) = b**2 + 2*b + 5. Let q(o) = 0 - 4*o - 8 + 2 + o. Let s(k) = -4*q(k) - 3*t(k). What is c in s(c) = 0?
-1, 3
Let g(f) = 19657*f**3 - 41611*f**2 + 29381*f - 6922. Let n(z) = -z**3 - z**2 - z + 2. Let q(i) = g(i) + 5*n(i). Factor q(o).
4*(17*o - 12)**3
Let m(z) be the first derivative of -2*z**5/35 - 9*z**4/14 - 2*z**3 - 19*z**2/7 - 12*z/7 - 60. Solve m(j) = 0 for j.
-6, -1
Let t(y) = 5*y**2 + 13*y - 92. Let w(h) = -25*h**2 - 64*h + 461. Let m(d) = -11*t(d) - 2*w(d). Factor m(l).
-5*(l - 3)*(l + 6)
Let d be 6 - (38/9 - 16/72). Factor -4*t**4 + d*t**3 + 4*t**5 - 6*