et a be j(9). Let -10*n**5 - a*n**5 + 5*n**4 + 20*n**5 = 0. What is n?
-1, 0
Let r(v) = 2*v - 4. Let t be r(4). Let w be (48/(-9))/t - -2. Find l such that 2/9*l + w*l**2 + 0 = 0.
-1/3, 0
Let i be 16/(-8)*((-830)/12 - -3). Let w = i - 131. Determine m, given that -w*m - 10*m**4 - 25/3*m**5 + 11/3*m**3 + 0 + 4*m**2 = 0.
-1, 0, 2/5
Suppose 0*s + 5*s = 295. Let t = 299/5 - s. Factor 2/5*i**3 + 0 - t*i**2 + 2/5*i.
2*i*(i - 1)**2/5
Let p(r) be the third derivative of 1/390*r**5 + 5*r**2 + 0*r**3 + 0*r + 0*r**4 + 0. Factor p(w).
2*w**2/13
Let o(t) be the first derivative of t**6/15 - 8*t**5/25 + 3*t**4/10 - 34. Determine g so that o(g) = 0.
0, 1, 3
Let w = 27 + -13. Find q, given that 13*q**2 + 4*q - w*q**2 - 1 - 3 = 0.
2
Let a(i) = 8*i**5 + i**4 - 34*i**3 - 38*i**2 - 19*i - 8. Let q(t) = t**5 + t**4 - t**3 + t. Let s(c) = 2*a(c) - 18*q(c). Solve s(w) = 0 for w.
-2, -1
Let b(l) = -l**2 - 7*l - 5. Let h be b(-5). Determine j so that h*j - 5*j**3 + 5 - 5*j**2 + 4*j - 10*j + 6*j = 0.
-1, 1
Let v(w) be the first derivative of 3*w**5/35 - 9*w**4/14 + w**3 + 9*w**2/7 - 24*w/7 - 346. What is u in v(u) = 0?
-1, 1, 2, 4
Let v(a) = a**2 + 2*a - 1. Let h(q) = 3*q**2 - 6. Let x(g) = h(g) + 6*v(g). Factor x(c).
3*(c + 2)*(3*c - 2)
Let h be -2 + 5 - 5*(10 + 765/(-81)). Factor -h*x**4 + 10/9*x**3 - 2*x**2 - 4/9 + 14/9*x.
-2*(x - 2)*(x - 1)**3/9
Let m(r) be the first derivative of -2116*r**5/5 - 483*r**4 + 60*r**3 - 2*r**2 + 232. Factor m(u).
-4*u*(u + 1)*(23*u - 1)**2
Let k(i) be the third derivative of -i**6/180 - 11*i**5/90 - 13*i**4/18 - 16*i**3/9 - 95*i**2. Factor k(q).
-2*(q + 1)*(q + 2)*(q + 8)/3
Let g = 16 + -43. Let v = g - -27. Factor -6*d**2 + 7*d**2 + v*d**2 + 4*d**2 + 5*d**4 + 10*d**3.
5*d**2*(d + 1)**2
Let g(c) = c - 52. Let t(a) = -a + 26. Let v(f) = 2*g(f) + 5*t(f). Let h be v(8). Find q, given that -198*q**4 - 2*q**h + q**2 + 199*q**4 = 0.
-1, 0, 1
Factor -4*h**4 + 3*h**5 - h**5 - 536*h**3 + 538*h**3.
2*h**3*(h - 1)**2
Let c = -274 - -21921/80. Let r(f) be the second derivative of 1/8*f**4 + 0 + 0*f**2 - f + 3/8*f**3 + c*f**5. Determine j, given that r(j) = 0.
-3, 0
Let t(i) be the second derivative of -5*i**8/112 - 5*i**7/42 - i**6/12 + i**2 - 19*i. Let w(z) be the first derivative of t(z). Factor w(c).
-5*c**3*(c + 1)*(3*c + 2)
Find r, given that 1215000/7*r**2 + 4/7*r**4 - 3600/7*r**3 + 10251562500/7 - 182250000/7*r = 0.
225
Let z(o) be the second derivative of 1/5*o**5 + 2/3*o**4 - 2/5*o**6 + 0*o**2 - o + 0*o**3 + 0. Factor z(u).
-4*u**2*(u - 1)*(3*u + 2)
Let z(m) be the third derivative of -m**5/80 + 5*m**4/16 + 119*m**3/8 + 4*m**2 + 17. Let z(h) = 0. What is h?
-7, 17
Let g(y) = y**4 - y**2 - y. Let x(n) = -14*n**4 - 16*n**3 + 22*n**2 + 50*n - 32. Let c(p) = -10*g(p) - x(p). What is q in c(q) = 0?
-4, -2, 1
Factor 12/5*b + 13/5*b**2 + 0*b**3 + 0 - 1/5*b**4.
-b*(b - 4)*(b + 1)*(b + 3)/5
Let o(r) be the second derivative of -2/25*r**5 + 0 + 2/5*r**3 - 2/105*r**7 + 2/5*r**2 + 2/15*r**4 - 2/25*r**6 - r. Factor o(y).
-4*(y - 1)*(y + 1)**4/5
Let v = 19 - 35/2. Let n = 5/46 - -59/92. Find u, given that 9/4*u**2 - v - n*u = 0.
-2/3, 1
Let c(s) be the second derivative of s**4/4 - 20*s**3 + 600*s**2 + 57*s. Determine j so that c(j) = 0.
20
Let s(v) be the first derivative of v**7/840 - v**6/360 + v**3/3 - 3. Let h(k) be the third derivative of s(k). Factor h(z).
z**2*(z - 1)
Let d(n) be the second derivative of -1/30*n**4 - 1/5*n**2 + 2/15*n**3 + 6*n + 0. Find q, given that d(q) = 0.
1
Let w = -20/19 - -613/456. Let u = -1/24 + w. Factor 0 + 0*n - u*n**2.
-n**2/4
Let y(b) be the third derivative of 0*b**7 + b**2 + 0*b + 0*b**5 - 1/48*b**4 + 0 - 1/672*b**8 + 1/120*b**6 + 0*b**3. Factor y(i).
-i*(i - 1)**2*(i + 1)**2/2
Let w(z) be the first derivative of z**4/12 + z + 8. Let y(x) be the first derivative of w(x). Factor y(n).
n**2
Let f(i) = 2*i + 25. Let s be f(-11). What is t in -2*t**s + 7*t**3 + 6*t**2 + 9*t**2 - 20 = 0?
-2, 1
Let k(l) be the first derivative of -12/23*l**2 + 26/69*l**3 - 21 + 8/23*l - 3/23*l**4 + 2/115*l**5. Let k(z) = 0. Calculate z.
1, 2
Let r(c) be the third derivative of 0 + 0*c**5 - 14*c**2 + 1/15*c**6 - 1/3*c**4 - 2/3*c**3 + 2/105*c**7 + 0*c. Find g such that r(g) = 0.
-1, 1
Let c be (-1)/7*1 - (-4)/28. Let o(b) be the first derivative of 12*b**3 - 3*b**5 + 6*b**2 + 9/4*b**4 + 6 + c*b. Determine p so that o(p) = 0.
-1, -2/5, 0, 2
Let l = -31 - -31. Let o(v) be the first derivative of 0*v - 1/3*v**3 + l*v**2 - 1. Determine t so that o(t) = 0.
0
Factor -3*g**2 + 3 + 9 - 91 - g**2 - 33 + 44*g.
-4*(g - 7)*(g - 4)
Let b(y) be the second derivative of -4/3*y**4 + 0*y**2 - 2*y**3 + 0 + 37*y - 1/5*y**5. Factor b(g).
-4*g*(g + 1)*(g + 3)
Suppose 128/5*l**2 + 24/5*l**3 - 4*l**4 - 4/5*l**5 - 128/5*l + 0 = 0. Calculate l.
-4, 0, 1, 2
Let h(l) be the second derivative of l**6/105 + l**5/35 + l**4/42 - 17*l + 1. Factor h(t).
2*t**2*(t + 1)**2/7
Let o(g) be the third derivative of -g**5/30 + 4*g**4/9 - 64*g**3/27 - g**2 + 45*g. Factor o(y).
-2*(3*y - 8)**2/9
Let p(c) be the first derivative of 12*c**5/25 - 59*c**4/20 + 46*c**3/15 - 4*c**2/5 - 90. Suppose p(k) = 0. What is k?
0, 1/4, 2/3, 4
Let u(r) = r**3 - r**2 - 8*r + 8. Let v be u(3). Suppose v*l - 5*l + 0*l = 0. Suppose -4/7*a**2 + l*a + 1/7*a**5 + 0*a**3 + 0 + 3/7*a**4 = 0. Calculate a.
-2, 0, 1
Let c(v) = v**3 + 2*v**2 - 25*v - 66. Let b be c(-4). Determine y, given that 3/2*y + 4*y**3 + 1/2*y**5 - 7/2*y**b - 9/4*y**4 - 1/4 = 0.
1/2, 1
Let s(x) be the third derivative of -x**6/30 - 2*x**5/5 - x**4/2 + 20*x**3/3 + 137*x**2 + x. Find d such that s(d) = 0.
-5, -2, 1
Let v(c) be the first derivative of 2*c**3/3 - 69*c**2 - 140*c - 615. Factor v(y).
2*(y - 70)*(y + 1)
Let o be 1/7 - 51/(-35). Let d be (95/35 - 1) + 2/7 + 0. Let -4/5*g - o + 8/5*g**d + 4/5*g**3 = 0. What is g?
-2, -1, 1
Let h(g) be the second derivative of 7/30*g**3 + 0 + 49/20*g**2 + 24*g + 1/120*g**4. Factor h(d).
(d + 7)**2/10
Let b = 22/7 - 184/63. Factor 2/9*s**3 - b*s - 4/9*s**2 + 4/9.
2*(s - 2)*(s - 1)*(s + 1)/9
Let l = 17 + -14. Let j be (25/15)/(1/l). Find v, given that -5*v**3 + v**4 - j*v**4 + v**3 = 0.
-1, 0
Let a be ((-1)/2)/(-1)*224/392. Let q(w) be the first derivative of -1/21*w**3 - 2 - 3/7*w - a*w**2. Let q(i) = 0. What is i?
-3, -1
Let r be 36/16 - (354/24 - 14). Factor -9 + 1/2*x**4 - 7/2*x**3 + r*x + 13/2*x**2.
(x - 3)**2*(x - 2)*(x + 1)/2
Let w(o) be the third derivative of -o**5/210 - 22*o**4/21 - 172*o**3/21 - 4*o**2 - 3*o. Factor w(s).
-2*(s + 2)*(s + 86)/7
Suppose -6 = 4*d - 14. Solve -4*s**2 - 2*s**4 + 4*s**3 + 0*s**4 + 0*s**d + 2*s**3 = 0.
0, 1, 2
Let b(q) be the second derivative of -q**7/210 - q**6/30 + 7*q**5/100 + q**4/12 - q**3/5 - 45*q. What is t in b(t) = 0?
-6, -1, 0, 1
Suppose 12*p - 6*p - 12 = 0. Solve 7*v**4 + 2*v**2 - 8*v**4 + 4*v**2 - 3*v**p + 2*v = 0 for v.
-1, 0, 2
Let k be 15/2 + (-13)/((-286)/(-55)). Let d(c) be the second derivative of 1/8*c**4 + 0 + 3/80*c**k + 6*c + 0*c**3 + 0*c**2. Let d(u) = 0. Calculate u.
-2, 0
Let n(m) = m**2 + 19*m + 5. Let b(d) = 20*d + 4. Let s(o) = 5*b(o) - 4*n(o). Solve s(z) = 0 for z.
0, 6
Let -16 + 86*l**4 + 23*l**2 + 10*l + l**5 - 11*l**3 - 183*l**4 + 90*l**4 = 0. Calculate l.
-2, -1, 1, 8
Let m(k) be the third derivative of k**5/15 - 4*k**4/3 + 8*k**3 + 20*k**2. What is w in m(w) = 0?
2, 6
Find h, given that 6/5*h**5 + 24/5*h**3 + 0*h + 0*h**2 + 0 + 74/5*h**4 = 0.
-12, -1/3, 0
Let l(y) be the first derivative of y**5 + 15*y**4/4 - 10*y**2 + 166. Solve l(s) = 0 for s.
-2, 0, 1
Let v(y) be the first derivative of -y**4/78 - y**3/39 - 8*y - 15. Let o(a) be the first derivative of v(a). Factor o(k).
-2*k*(k + 1)/13
Factor 0*l + 2/5 - 2/5*l**2.
-2*(l - 1)*(l + 1)/5
Let q(m) be the third derivative of -3*m**6/8 + 209*m**5/12 + 425*m**4/12 - 40*m**3 + 266*m**2. What is t in q(t) = 0?
-1, 2/9, 24
Let z(d) be the first derivative of d**6/45 - d**5/30 - d**4/6 + 5*d**3/9 - 2*d**2/3 + 6*d + 11. Let i(p) be the first derivative of z(p). Factor i(w).
2*(w - 1)**3*(w + 2)/3
Determine x, given that -54/7*x**2 - 240/7*x**3 - 3/7*x**5 + 0 + 243/7*x + 54/7*x**4 = 0.
-1, 0, 1, 9
Let z(p) = -p + 2 + 3 + 9. Let f be z(12). Factor 1/2*b**3 + 3/2*b**f + b + 0.
b*(b + 1)*(b + 2)/2
Let q = -754 - -757. Let f(i) be the first derivative of 0*i - 1/25*i**5 + 0*i**2 - 1/