 Factor g(n).
2*(n + 504)**2/5
Let g be ((-24)/(-130))/(-3)*(-21996)/3384 + 0/(-3). Suppose g*m**4 - 38/5*m + m**3 - 23/5*m**2 + 24/5 = 0. What is m?
-4, -2, 1/2, 3
Let f(n) = n**2 - 6*n - 16. Let z(t) = -t**2 + 6*t + 13. Suppose -2*r = -7*r + 10. Let q(j) = r*f(j) + 3*z(j). Factor q(k).
-(k - 7)*(k + 1)
Let v be 12*(-7)/((-56)/36). Let f = v + -48. Factor -10 - 6 + f*d + 0*d + 25 - 3*d**2.
-3*(d - 3)*(d + 1)
Let q(a) = 5*a**3 - 3636*a**2 + 893040*a - 72633916. Let t(v) = -5*v**3 + 3630*v**2 - 893040*v + 72633915. Let u(p) = 5*q(p) + 4*t(p). Solve u(j) = 0.
244
Let t(n) = 2*n**2 + 1. Let c(j) = -12*j**3 + 68*j**2 - 132*j + 32. Let i be (-2)/(-6) - (-212)/(-159). Let p(l) = i*c(l) - 4*t(l). Factor p(f).
4*(f - 3)**2*(3*f - 1)
Let u(d) be the second derivative of d**7/42 + 13*d**6/3 - 33*d**5/5 - 65*d**4/6 + 131*d**3/6 + 2065*d. Determine n, given that u(n) = 0.
-131, -1, 0, 1
Let c be (844/(-2954))/(20/(-14)). Factor u + c*u**3 + 0 + 6/5*u**2.
u*(u + 1)*(u + 5)/5
Let j(o) = -o**2 + 8. Let b(r) = 5*r**4 + 820*r**3 + 40195*r**2 + 538740*r + 2158205. Let f(d) = -b(d) - 5*j(d). Determine n so that f(n) = 0.
-73, -9
Let g = -33 + 38. Suppose -3*w - 2*q = -3*q - 14, -g*w = -q - 24. Factor -5*t**2 - 10*t**2 + 5*t**4 + w*t**2 + 5.
5*(t - 1)**2*(t + 1)**2
Let d(a) = -a**2 - 17*a + 686. Let l be d(-36). Find g such that -2/9*g**3 + 16/9*g**l + 62/9*g + 44/9 = 0.
-2, -1, 11
Let p(r) = -258*r + 2326. Let o be p(9). Let j(w) be the third derivative of 0*w + 1/120*w**5 + w**2 + 3*w**3 + 1/4*w**o + 0. Find s, given that j(s) = 0.
-6
Let m(z) be the first derivative of 99 + 2/45*z**5 + 0*z - 5/18*z**4 - 4/9*z**2 + 16/27*z**3. Solve m(g) = 0 for g.
0, 1, 2
Suppose -60 = -15*r + 10*r. Let h be 13764/8866 - r/26. Find s such that -6/11 + h*s**2 + 0*s**3 - 6/11*s**4 + 0*s = 0.
-1, 1
Let b = 46 - -47. Factor -79*v**2 - 588 + 271*v - 8*v**3 + b*v + 12*v**3 + 0*v**3 + 11*v**2.
4*(v - 7)**2*(v - 3)
Let i = 39889/99720 - 1/99720. Factor -16/5 - 12/5*d**2 + 6*d - i*d**3.
-2*(d - 1)**2*(d + 8)/5
Let -26*w**4 - 8*w**5 - w**5 + 242*w**2 + 288 + 863*w + 7*w**5 - 72*w**3 - 299*w + 14*w**3 = 0. Calculate w.
-8, -6, -1, 3
Suppose 4*z - 521*m + 4 = -519*m, 4*m = 24. Let c(f) be the first derivative of 34 + 0*f + 3/8*f**z + 0*f**3 - 3/16*f**4. Factor c(d).
-3*d*(d - 1)*(d + 1)/4
Let j = -403/4 - -209/2. Let p(d) be the first derivative of 0*d**2 + 20*d - 35/3*d**3 - j*d**4 + 6. Suppose p(i) = 0. Calculate i.
-2, -1, 2/3
Let p(l) = 5*l - 72. Let k be p(18). Suppose k*b - 3 = 17*b. Factor 5/2*r + b + 1/2*r**2.
(r + 2)*(r + 3)/2
Factor -93525 - 1148363 + 734*g - 119*g + 2537*g - 2*g**2.
-2*(g - 788)**2
Let u(o) = 5*o**2 + 485*o + 5280. Let g(f) = 8*f**2 + 738*f + 7920. Let y(v) = 5*g(v) - 7*u(v). Factor y(r).
5*(r + 11)*(r + 48)
Let a(s) be the first derivative of -s**6/540 + s**5/270 + 5*s**4/108 + s**3/9 - s**2/2 - 7*s - 67. Let b(x) be the second derivative of a(x). Factor b(p).
-2*(p - 3)*(p + 1)**2/9
Let v(z) be the third derivative of z**7/735 - z**6/60 + z**5/14 - 3*z**4/28 + 343*z**2 - 8*z. Factor v(q).
2*q*(q - 3)**2*(q - 1)/7
Let c(b) be the first derivative of b**4/7 + 4*b**3/3 + 32*b**2/7 + 48*b/7 + 791. Factor c(p).
4*(p + 2)**2*(p + 3)/7
Suppose -277 + 13 = 103*p - 270 - 1024. Find f such that 2 - p*f - 11/2*f**2 = 0.
-2, 2/11
Let t(u) = u**2 - 3071*u - 210244. Let o be t(-67). Factor 0 - 26/21*k**o - 2/21*k**3 + 4/3*k.
-2*k*(k - 1)*(k + 14)/21
Let l(s) be the second derivative of 5*s**7/6 - 145*s**6/6 + 287*s**5/2 + 1585*s**4/3 - 3140*s**3/3 - 1120*s**2 + 40*s + 12. Solve l(d) = 0 for d.
-2, -2/7, 1, 8, 14
Let b(f) = -f**2 - 10*f + 27. Let m be b(-12). Suppose -4*p + j + 5 = 2*j, m*j + 15 = 3*p. Factor 3*a**4 - 6 + 5*a**2 + 9*a**3 - a**p - 9*a - a**2 + 0*a**2.
3*(a - 1)*(a + 1)**2*(a + 2)
Suppose -9*x + 4*x = -4*s - 52, -5*x - 52 = 4*s. Suppose 1/2*o**2 - 1/4*o**5 - 1/2*o**4 + 0*o**3 + 1/4*o + x = 0. Calculate o.
-1, 0, 1
Let q be (31/(124/8))/(-27*(-24)/108). Factor 58/3 + 59/3*y + q*y**2.
(y + 1)*(y + 58)/3
Let -11232/7 + 1584/7*f - 2/7*f**3 - 30/7*f**2 = 0. What is f?
-39, 12
Let g(q) = q**3 + 65*q**2 + 990*q + 1011. Let d be g(-42). What is t in -2/3*t - 4/3*t**2 + 2/3*t**d + 4/3 = 0?
-1, 1, 2
Suppose 0 = 3*n + 140 - 149. Determine z so that -30*z**2 - 5*z**5 + 7*z**4 + 13*z**4 - 362*z**n + 357*z**3 = 0.
-1, 0, 2, 3
Let m(h) be the third derivative of h**5/20 + h**4/24 - h**3/6 - 21*h**2. Let b be m(1). Factor 6*q**5 + 14*q**2 - 3*q**5 - b*q**3 - 3*q**4 - 11*q**2.
3*q**2*(q - 1)**2*(q + 1)
Suppose -686*g + 679 = -1682 - 383. Solve 2/5*m**4 - g*m**2 + 18/5 + 16/5*m**3 - 16/5*m = 0 for m.
-9, -1, 1
Suppose 16/3*p**3 + 116/3*p + 71/3*p**2 + 1/3*p**4 + 20 = 0. What is p?
-10, -3, -2, -1
Let w be 15/42*(8184/155 + -48). Factor -11/7 - w*c - 1/7*c**2.
-(c + 1)*(c + 11)/7
Let c be -16 - -32*(-10)/(-20). Let v(i) be the second derivative of -3/80*i**5 + c*i**2 + 0 + 0*i**3 + 1/120*i**6 + 1/24*i**4 - 26*i. Factor v(k).
k**2*(k - 2)*(k - 1)/4
Let x be (0/10)/(-3 - (4 + (-14 - -6))). Let t(n) be the first derivative of -1/4*n**4 + x*n**3 + 30 + 0*n + 0*n**2. Factor t(g).
-g**3
Let 729632/11 + 2416/11*h + 2/11*h**2 = 0. What is h?
-604
Let z = 84361 + -590523/7. Let -16/7*a - 1/7*a**4 + 16/7 + 0*a**2 + z*a**3 = 0. Calculate a.
-2, 2
Suppose -32 = -4*l + 4*m, 5*l = 51*m - 20*m + 170. Suppose -4/3*c - 8/9*c**l + 0 - 50/9*c**2 = 0. What is c?
-6, -1/4, 0
Factor 10*g**4 - 24*g**4 + 612 + 188 - g**3 + g**5 + 1040*g + 0*g**5 + 368*g**2 - 7*g**3.
(g - 10)**2*(g + 2)**3
Let l(x) be the second derivative of x**8/1344 + x**7/252 + x**6/144 + 19*x**4/12 + 17*x. Let k(p) be the third derivative of l(p). Factor k(r).
5*r*(r + 1)**2
Suppose 32*v - 30*v = -5*f, 28 = 4*f - 4*v. Let h(u) be the second derivative of 1/12*u**4 + 9/8*u**f - 1/2*u**3 - 10*u + 0. Factor h(t).
(2*t - 3)**2/4
Let u(y) be the second derivative of -y**5/90 + 5*y**4/6 - 56*y**3/9 + 164*y**2/9 + 1774*y. Factor u(c).
-2*(c - 41)*(c - 2)**2/9
Let g(b) be the second derivative of 5*b**4/12 - 5*b**3/2 - 450*b**2 + 4*b + 472. Suppose g(t) = 0. What is t?
-12, 15
Let i(d) be the second derivative of d**5/5 - 1756*d**4/3 - 2*d**3/3 + 3512*d**2 - 1199*d + 1. Determine z, given that i(z) = 0.
-1, 1, 1756
Let u = -11608 - -58044/5. Let p(z) = z**2 + 7*z + 6. Let g be p(-6). Solve g - 12/5*m - u*m**2 = 0 for m.
-3, 0
Solve -216 - 65*h + 195*h + 11*h - 29*h - 2*h**2 = 0 for h.
2, 54
Let m = 1545429/5 + -308317. Factor -4/5*n**2 - m + 248/5*n.
-4*(n - 31)**2/5
Let s(k) be the first derivative of -k**5/35 + 127*k**4/14 + 256*k**3/7 + 55*k**2 + 257*k/7 - 2822. Suppose s(m) = 0. Calculate m.
-1, 257
Let g(w) be the first derivative of 8*w**5/25 - 47*w**4/20 - 98*w**3/5 - 178*w**2/5 - 8*w - 1699. Solve g(r) = 0 for r.
-2, -1/8, 10
Let q(d) be the first derivative of d**3/9 - 49*d**2/2 - 148*d/3 + 5575. Factor q(b).
(b - 148)*(b + 1)/3
Let z(g) be the first derivative of 31*g**6/9 - 22*g**5/5 - 277*g**4/6 - 646*g**3/9 - 34*g**2 + 16*g/3 - 183. Determine i, given that z(i) = 0.
-1, 2/31, 4
Let z(t) = 13*t**2 - 292*t + 567. Let w(d) = 2*d**2 - d - 1. Let h(j) = -21*w(j) + 3*z(j). Factor h(m).
-3*(m - 2)*(m + 287)
Let h be (3 - -3) + (-159)/(-18)*4/(-6). Let y(d) be the first derivative of -h*d**3 - 2*d**2 - 12*d - 5. Suppose y(l) = 0. Calculate l.
-6
Let h(j) be the first derivative of -j**4/10 + 28*j**3/3 - 393*j**2/5 + 1152*j/5 + 744. Solve h(v) = 0 for v.
3, 64
Let x(z) be the second derivative of z**6/30 + z**5/30 - 2*z**4/3 - 4*z**3/3 + z**2 + 68*z. Let j(t) be the first derivative of x(t). Solve j(k) = 0.
-2, -1/2, 2
Let r(s) be the first derivative of -3*s**5/5 - 9*s**4/4 - 1511. Factor r(f).
-3*f**3*(f + 3)
Let u(i) be the first derivative of 2/25*i**5 - 42 + 0*i**2 + 0*i - 1/4*i**4 + 1/30*i**6 - 2/5*i**3. Suppose u(g) = 0. What is g?
-3, -1, 0, 2
Let k = -22 + 24. Suppose 4*a - 4*v = 4, 6 = k*a - a + 4*v. Factor 3*x**2 - 21*x**3 + 15*x**a - 30*x**3 + 48*x**3.
-3*x**2*(x - 6)
Let d be (28/(6 + -7))/((-1)/19). Let j be 96/d + 1688/152 + -11. Find c such that 18/7*c - 16/7 - j*c**2 = 0.
1, 8
Let h = -515 + 1585. Suppose -h = -5*i - 0*i. Let 213*v - i*v - v**2 - v**2 - 4*v**4 - 2*v**2 - v**5 - 6*v**3 = 0. What is v?
-1, 0
Let v(p) be the third derivative of p**6/180 - 359*p**5/90 - 271*p**4/9 - 724*p**3/9 - 4492*p**2. Factor v(l