 0 + 23/12*n**5 - 1/14*n**7 + 5*n**2 + 25/24*n**6 - 5/4*n**4 - 5/48*n**8. Find y, given that t(y) = 0.
-1, 4/7, 2
Let k = -1034 + 82721/80. Let a(h) be the second derivative of 4*h - k*h**5 - 5/24*h**3 + 0*h**2 + 1/8*h**4 + 0. Factor a(j).
-j*(j - 5)*(j - 1)/4
Let b be 280/150 - (-2)/15. Factor -g**2 + 2*g**2 + 14*g + 5*g**2 + 0*g**b - 12 + 0*g**2.
2*(g + 3)*(3*g - 2)
Determine v so that -467*v - 496*v - 150 + 1108*v + 10*v**2 - 5*v**3 = 0.
-5, 1, 6
Let r(s) be the first derivative of 2*s**3/33 - 34*s**2 + 746*s/11 - 9157. Factor r(n).
2*(n - 373)*(n - 1)/11
Let b(n) be the second derivative of -n**8/224 + 19*n**7/140 - n**6 - 5*n**5/2 - 75*n**2/2 - 112*n. Let r(a) be the first derivative of b(a). Factor r(q).
-3*q**2*(q - 10)**2*(q + 1)/2
Factor 15000/11*p + 9375000/11 + 6/11*p**2.
6*(p + 1250)**2/11
Find q, given that -184/11 - 1/11*q**2 - 185/11*q = 0.
-184, -1
Determine c so that 82/7*c + 2/7*c**2 + 68 = 0.
-34, -7
Suppose -3*v + g + 8 = -8, -2*g + 4 = 3*v. Let a(m) be the first derivative of 1/2*m**v + 2*m**3 + 0*m + 8 + 0*m**2. Factor a(y).
2*y**2*(y + 3)
Let z(a) be the second derivative of -a**5/60 + 95*a**4/36 - 359*a**3/18 - 455*a**2/6 - 6577*a. Factor z(d).
-(d - 91)*(d - 5)*(d + 1)/3
Factor 134/7 - 8/7*m**2 + 534/7*m.
-2*(m - 67)*(4*m + 1)/7
Factor 1/5*x**5 + 0 + x**4 - 1/5*x**3 - x**2 + 0*x.
x**2*(x - 1)*(x + 1)*(x + 5)/5
Let g(y) be the second derivative of y**6/40 + 87*y**5/80 - 153*y. Determine k so that g(k) = 0.
-29, 0
Let s(n) be the third derivative of 0 + 0*n + 1/420*n**5 + 361/42*n**3 + 48*n**2 + 19/84*n**4. Factor s(a).
(a + 19)**2/7
Let w(k) be the second derivative of -1/45*k**5 + 1/189*k**7 + 1 + 2/9*k**2 - 7/27*k**3 + 4/27*k**4 - 2/135*k**6 + 63*k. Solve w(x) = 0 for x.
-2, 1
Let z(p) be the second derivative of -p**5/60 + 14*p**4/9 - 6*p**3 - 139*p + 1. Factor z(b).
-b*(b - 54)*(b - 2)/3
Let f = -272519/90 + 3028. Let z(r) be the second derivative of 0*r**2 + 0 + f*r**4 + 1/9*r**3 - 3*r. Solve z(t) = 0.
-5, 0
Let o(r) be the third derivative of r**6/2700 + 29*r**5/450 + 841*r**4/180 - 28*r**3 + 4*r**2 - 21. Let c(p) be the first derivative of o(p). Factor c(g).
2*(g + 29)**2/15
Suppose 2*p = -4*d - 6, p + 18 = 5*p - 2*d. Suppose o = -3*i + 13, -2*i = i - 3*o + p. Factor 3/2*y**3 + 0 + i*y + 9/2*y**2.
3*y*(y + 1)*(y + 2)/2
Let w(j) = 25*j**3 - 5250*j**2 + 82765*j + 1015680. Let i(o) = 2*o**3 - 438*o**2 + 6897*o + 84640. Let v(z) = 35*i(z) - 3*w(z). Suppose v(d) = 0. What is d?
-8, 46
Let w(u) be the second derivative of u**7/147 - 19*u**6/21 + 479*u**5/14 - 6625*u**4/42 + 920*u**3/3 - 2116*u**2/7 - 2892*u. Find k, given that w(k) = 0.
1, 46
Let d be -2 - (3 - (8 + 0)). Suppose -2583*p = 244 - 244. Solve 2/3*z**d + 2/3*z**2 + p + 0*z = 0.
-1, 0
Let u be (-1)/(45/(-3)) - (-32483)/177180. Factor -11/4*l - u*l**2 - 5/2.
-(l + 1)*(l + 10)/4
Let u(z) be the first derivative of z**3/3 - 417*z**2/2 - 418*z - 1892. Factor u(h).
(h - 418)*(h + 1)
Let m be (35/28)/(-3 + (-26)/(-8)). Factor 237*k - 10*k**3 - 237*k + 4*k**2 - 2*k**m + 8*k**4.
-2*k**2*(k - 2)*(k - 1)**2
Let i be -65*14/(-210) + (-444)/36 + 13. What is t in 4*t**2 - 36/5*t + t**3 + 1/5*t**i - 6/5*t**4 + 16/5 = 0?
-2, 1, 2, 4
Factor 0*x**3 - 114*x + 62*x**2 - 9*x**3 + 18*x**3 - 11*x**3 + 4*x - 174.
-2*(x - 29)*(x - 3)*(x + 1)
Let o(i) = -i**2 - 7*i - 7. Let y be o(-5). Suppose 0*v = v - y. Let 3*z**v + 6*z**2 - 31*z**2 + 13*z**2 = 0. Calculate z.
0, 4
Let y(x) be the second derivative of x**6/6 - 3*x**5 + 35*x**4/4 - 25*x**3/3 - 1093*x. Factor y(p).
5*p*(p - 10)*(p - 1)**2
Let a(s) = -11*s**3 + 97*s**2 + 8*s - 100. Let v(z) = 536*z**2 - 761 - 82*z**3 - 439 - 48*z**3 + 95*z + 629*z**2. Let q(w) = -35*a(w) + 3*v(w). Factor q(p).
-5*(p - 20)*(p - 1)*(p + 1)
Let n = -469 - -469. Suppose 5*l + 14*g + 2 = 13*g, 4*l + 3*g + 6 = n. Determine r so that l + 4/15*r**2 + 0*r - 2/3*r**3 - 32/15*r**4 - 6/5*r**5 = 0.
-1, 0, 2/9
Let q(k) be the first derivative of -7/4*k**2 + 1/4*k**3 - 8 - k - 7/40*k**5 + 19/32*k**4. What is z in q(z) = 0?
-1, -2/7, 2
Solve 460/7*c - 200/7 - 324/7*c**2 + 68/7*c**3 - 4/7*c**4 = 0 for c.
1, 5, 10
Let v(w) = 9*w**3 + 9*w**2 - 45*w + 13. Let q be 7/42*-3*-4. Let x(n) = -3*n**3 - 3*n**2 + 15*n - 5. Let l(k) = q*v(k) + 7*x(k). Solve l(r) = 0 for r.
-3, 1
Let o(d) be the first derivative of -8/3*d**3 + 4/5*d**5 - 4 - d**2 - 5/2*d**4 + 16/15*d**6 - 12*d. Let p(q) be the first derivative of o(q). Factor p(u).
2*(u - 1)*(u + 1)*(4*u + 1)**2
Let b(y) be the first derivative of -3/2*y**4 + 1/3*y**6 - 8/3*y**3 + 150 + 0*y + 4/5*y**5 + 4*y**2. What is o in b(o) = 0?
-2, 0, 1
Let q(y) be the first derivative of -y**7/70 + 3*y**6/40 + 3*y**5/10 - y**4 + 59*y**2/2 - 69. Let j(a) be the second derivative of q(a). Factor j(b).
-3*b*(b - 4)*(b - 1)*(b + 2)
Let w(a) be the third derivative of 23*a**5/120 - 19*a**4/32 - 5*a**3/3 - 14*a**2 + 7. Suppose w(p) = 0. What is p?
-1/2, 40/23
Solve 195*a + 189 + 147 + 208 - 2*a**4 + 40*a**3 + 8*a**3 + 45*a - 254*a**2 = 0 for a.
-1, 4, 17
Determine j so that 4/5*j**2 + 8*j - 2/5*j**3 + 48/5 = 0.
-2, 6
Let w be -35 - (-16 + 15/(-1)) - 1*116/(-28). Factor -13/7*k - 12/7 - w*k**2.
-(k + 1)*(k + 12)/7
Suppose 13*o = 8*o - 5, -10*q + 19 = o. Factor -2/9*k**q + 8*k - 72.
-2*(k - 18)**2/9
Let c(v) = -7*v + 140. Let x be c(18). Factor 10*b**2 - 65 - x*b**2 - b**2 - 70*b.
-5*(b + 1)*(b + 13)
Determine j, given that -825*j**2 + 540*j + 912*j - 25*j**4 + 617*j - 1474*j - 130 + 385*j**3 = 0.
2/5, 1, 13
Let z(b) be the third derivative of 7/48*b**4 + 1/420*b**7 - 1/4*b**3 + 0*b - 13/480*b**5 + 0 - 7/960*b**6 - 113*b**2. Determine a, given that z(a) = 0.
-2, 3/4, 1, 2
Let t(v) = -2*v**3 - 6*v**2 + 7*v + 2. Let c be t(-5). Suppose 41 = 36*p - c. Factor -1/4*n**p - 1/4*n**2 + 1/4 + 1/4*n.
-(n - 1)*(n + 1)**2/4
Let y(m) be the third derivative of m**5/300 + 49*m**4/30 - 80*m**3/3 - 3*m**2 - 466. Factor y(d).
(d - 4)*(d + 200)/5
Let w(g) be the third derivative of -g**7/13860 + 17*g**6/3960 + 85*g**4/12 - 193*g**2. Let t(n) be the second derivative of w(n). Factor t(u).
-2*u*(u - 17)/11
Let j be 1 + -2 + 117 + -112. Let u(q) be the first derivative of 8 + 12*q**4 - 28/5*q**5 - j*q**2 + 0*q - 4*q**3. Find s, given that u(s) = 0.
-2/7, 0, 1
Let s(q) = -14*q + 44. Let n be s(-2). Find k such that -15*k**2 + 24*k**2 - 48*k**2 - 3*k - n*k**3 - 12*k**5 - 51*k**4 - 3*k = 0.
-2, -1, -1/4, 0
Let j(w) = 4*w**3 + 84*w**2 - 92*w + 4. Let a(i) = -i**4 - 3*i**3 - i**2 - i - 1. Let f(b) = 4*a(b) + j(b). What is o in f(o) = 0?
-6, 0, 2
Suppose 0 = 722*o + 927 - 4005 - 6809 + 1945. Factor 41/2*y + 10 + 1/2*y**3 + o*y**2.
(y + 1)**2*(y + 20)/2
Let d(p) be the first derivative of 32*p**3/33 - 6664*p**2/11 + 1387778*p/11 + 810. Solve d(j) = 0 for j.
833/4
Suppose -2*x + 5*d + 23 = 0, -6*x + 5*d = -7*x - 11. What is k in -3 - x*k**2 + 35*k + 65*k + 219 = 0?
-2, 27
Factor 18327*h**2 + 684500 - 18322*h**2 + 549*h + 3151*h.
5*(h + 370)**2
Find s, given that -86*s**3 - 11*s**3 + 32*s**3 + 26*s + 44 + 33*s**3 - 20*s**2 + 30*s**3 = 0.
-11, -1, 2
Let w(q) = 9*q**4 + 103*q**3 + 703*q**2 + 1108*q + 584. Let j(b) = -13*b**4 - 155*b**3 - 1055*b**2 - 1662*b - 868. Let h(m) = 5*j(m) + 7*w(m). Factor h(a).
-2*(a + 1)**2*(a + 7)*(a + 18)
Let d(q) be the second derivative of q**4/42 - 2*q**3/3 - 15*q**2/7 + 536*q. Let d(k) = 0. Calculate k.
-1, 15
Let o(m) be the third derivative of -m**6/120 - 13*m**5/12 + 1057*m**4/24 - 3871*m**3/6 - 367*m**2 - 2. Factor o(c).
-(c - 7)**2*(c + 79)
Let q(t) be the second derivative of t**7/273 - t**6/195 - 3*t**5/65 - t**4/39 + 5*t**3/39 + 3*t**2/13 + 99*t. Solve q(v) = 0.
-1, 1, 3
Let -60*t + 9*t**2 - 15*t**2 - 14*t**2 + 6*t**3 - 18*t**2 + 224 = 0. Calculate t.
-8/3, 2, 7
Let w be (-732)/(-13664)*28/3. Determine b, given that -w*b - 1/4*b**2 + 0 = 0.
-2, 0
Suppose -9 + 8 = 176*h - 1. Let k(b) be the third derivative of 1/44*b**4 + h*b - 1/330*b**6 + 23*b**2 - 1/66*b**5 + 0 + 0*b**3. Solve k(p) = 0.
-3, 0, 1/2
Let m be ((-2)/4)/(6 + 6090/(-1008)) - (-30)/(-5). Factor 4*b - 1/2*b**3 - m + 5/2*b**2.
-(b - 6)*(b - 1)*(b + 2)/2
Let z = -801091 - -5607689/7. Solve 744/7*i**3 - 128*i**5 - z*i**2 + 0 - 8/7*i - 1408/7*i**4 = 0.
-2, -1/14, 0, 1/4
Solve 639/5*j - 636/5 - 3/5*j**2 = 0.
1, 212
Let s(u) be the second derivative of u**9/12096 - u**7/1680 + 