e u + 5632 = -2*h, 0 = 3*u - 4*h - 0*h + 16846. Let a be u/(-55) - (-16)/88. Factor -a*o**3 - 576/5*o**2 - 216/5*o - 27/5.
-(8*o + 3)**3/5
Let f(l) = l**2 + 54*l + 333. Let n be f(-47). Let d(j) be the second derivative of 1/4*j**3 - 1/24*j**n + 10*j + 0*j**2 + 0. Factor d(o).
-o*(o - 3)/2
Let c(f) be the second derivative of -f**5/5 - 68*f**4/3 - 2560*f**3/3 - 8192*f**2 - 44*f. Factor c(q).
-4*(q + 4)*(q + 32)**2
Let f(c) = 88*c**3 + 2503*c**2 - 1015*c - 7. Let d(h) = -60*h**3 - 1669*h**2 + 677*h + 5. Let u(s) = 7*d(s) + 5*f(s). Factor u(l).
4*l*(l + 42)*(5*l - 2)
Let d(v) be the second derivative of -v**6/540 - v**5/45 - v**4/12 + 69*v**2 - 84*v + 2. Let z(n) be the first derivative of d(n). Suppose z(l) = 0. What is l?
-3, 0
Let k(b) = 44*b**3 + 139*b**2 + 140*b + 47. Let j(y) = -y**4 - y**2. Let h(a) = 3*j(a) + 3*k(a). Suppose h(m) = 0. Calculate m.
-1, 47
Let l = 344 + -284. Let u be (2*(-6)/l)/(4/(-40)). Factor 6/7*g + 12/7*g**u - 6/7.
6*(g + 1)*(2*g - 1)/7
Let t(y) = 27*y**3 + 19496*y**2 - 5281258*y - 1762589. Let q(w) = 18*w**3 + 9747*w**2 - 2640630*w - 881295. Let d(r) = 5*q(r) - 3*t(r). Factor d(u).
3*(u - 542)**2*(3*u + 1)
Let u = 173 + -170. Suppose -48*m - 1513 + 1471 - 9*m + 3*m**u - 12*m**2 = 0. What is m?
-2, -1, 7
Factor 14/3 + 11/6*l**3 + 62/3*l - 163/6*l**2.
(l - 14)*(l - 1)*(11*l + 2)/6
Suppose 5206*t - 5224*t = 0. Let v(s) be the second derivative of 0*s**2 + t - s**3 - 1/4*s**4 + 26*s. Solve v(j) = 0 for j.
-2, 0
Let p(b) be the second derivative of 1/50*b**5 - 3*b**3 - 1 + 23/5*b**2 + 7/10*b**4 + 44*b. Factor p(w).
2*(w - 1)**2*(w + 23)/5
Let f be 32 + (-29491)/539 + 46/2. Determine l so that 0 + f*l**5 - 432/7*l**2 + 12*l**3 - 486/7*l + 32/7*l**4 = 0.
-9, -1, 0, 3
Suppose 0 = -24*h + 72. Let -20*g**5 + 0*g - 5*g + 4 - g - 2*g + 37*g**4 + 28*g**h - 41*g**2 = 0. What is g?
-1, -2/5, 1/4, 1, 2
Let c(q) = -3*q**2 - 74*q + 65. Let s be c(-25). Let r = 3 + 2. Solve s*x**3 - 18 - 34*x**4 - 102*x**2 + 8*x**5 + 69*x - 5*x**r + 10*x**4 + 32*x**3 = 0 for x.
1, 2, 3
Let h(a) be the first derivative of -5*a**6/24 + 2*a**5 - 15*a**4/8 - 85*a**3/3 + 635*a**2/8 - 75*a + 1118. Determine t, given that h(t) = 0.
-3, 1, 4, 5
Let n = 582 + -579. Factor -189*i**2 - 9*i**4 - 347 - i**4 - 8*i**4 - 23*i**n - 637*i + 17*i**4 - 339.
-(i + 2)*(i + 7)**3
Let m(l) be the first derivative of l**8/84 - 4*l**7/105 - 7*l**6/30 - 4*l**5/15 + 55*l**2/2 - 48. Let i(t) be the second derivative of m(t). Factor i(n).
4*n**2*(n - 4)*(n + 1)**2
Let h(d) be the third derivative of d**6/40 + 489*d**5/80 + 303*d**4/16 + 121*d**3/8 + 4988*d**2. Find m, given that h(m) = 0.
-121, -1, -1/4
Let d(u) be the second derivative of -u**5/80 - 2431*u**4/48 - 184528*u**3/3 + 184832*u**2 - 24*u + 110. Factor d(s).
-(s - 1)*(s + 1216)**2/4
Suppose -5*u = -4*g - 2324, 10*g - 3*u + 581 = 9*g. Let w = g - -583. Determine b, given that 36/7*b - 10/7*b**w + 16/7 = 0.
-2/5, 4
Let k(a) be the third derivative of 461/20*a**5 + 87/70*a**7 + 0 + 26*a**3 - 35*a**2 - 9/112*a**8 + 0*a + 353/40*a**6 + 32*a**4. Solve k(u) = 0.
-1, -2/3, 13
Let b(w) be the first derivative of -8*w**5/5 - 65*w**4 - 3817*w**3/6 + 3315*w**2/2 - 2601*w/2 - 1366. Factor b(a).
-(a + 17)**2*(4*a - 3)**2/2
Let v be -25 - ((-4138)/70 - -34) - (12/(-21))/2. Solve v - 14/5*n - 3/2*n**2 = 0.
-2, 2/15
Suppose 2*g + 6*t = t - 54, -5*t = 3*g + 71. Let s = g + 22. Let 11*b - 3*b**4 - s*b + 12*b**2 - 3*b**2 = 0. What is b?
-1, 0, 2
Let t(q) be the first derivative of q**3/3 - 55*q**2/2 + 106*q - 1480. Solve t(u) = 0 for u.
2, 53
Suppose -2*v - 78 = -3*v - 25*v. Let z(h) be the second derivative of -1/36*h**v + 1/72*h**4 - 24*h + 0 - 1/6*h**2. Find i, given that z(i) = 0.
-1, 2
Let v(t) be the second derivative of t**6/20 + 12*t**5/5 + 227*t**4/8 - 65*t**3 + 3749*t. Suppose v(s) = 0. Calculate s.
-20, -13, 0, 1
Suppose -10*n + 30*n = 15*n. Let c(m) be the third derivative of -m**4 + 15*m**2 + 8/3*m**3 + 0*m + 1/5*m**5 + n - 1/60*m**6. Factor c(h).
-2*(h - 2)**3
Let x be (122/((-271084)/6969))/(6/(-11)). Factor -25/4*n**2 - x*n + 1/2.
-(n + 1)*(25*n - 2)/4
Determine k, given that -14 - 105*k**2 + 772*k - 120*k**2 - 16 - 10 - 151*k**2 = 0.
5/94, 2
Suppose 5*v + 46 = s - 93, -3*v = s + 85. Let t be 35/(v/4) + 7. Factor 2/7*m**t - 20/7 - 6/7*m.
2*(m - 5)*(m + 2)/7
Suppose 1940*i - 4320 = -220*i. Let -2/5*s**4 + 14/5*s**i + 4/5*s**3 + 8/5*s + 0 = 0. What is s?
-1, 0, 4
Let q = -32 - -132. Suppose 4*y + q + 33 = 3*b, 3*y = 15. Solve -4*v**3 - 219*v + 13*v**3 - b*v**2 + 122*v + 163*v - 24 = 0.
2/3, 1, 4
Let c(y) be the third derivative of -y**5/60 - 205*y**4/24 + 69*y**3 - 8856*y**2. Factor c(n).
-(n - 2)*(n + 207)
Let q(n) be the first derivative of -n**4/20 - 19*n**3/15 + 179. Factor q(f).
-f**2*(f + 19)/5
Determine i, given that i**5 + 51/7*i**4 - 424/7*i**2 + 0*i**3 - 144/7 - 624/7*i = 0.
-6, -2, -2/7, 3
Let j(y) = -2*y**3 + y**2 + 32*y + 31. Let r be j(-1). Let z(m) be the first derivative of 1/6*m**4 - 1/3*m**r + 5 + 0*m**3 + 0*m. Factor z(f).
2*f*(f - 1)*(f + 1)/3
Suppose -237 + 3057 = 338*t + 1072*t. What is f in -2/5*f**2 - t*f - 12/5 = 0?
-3, -2
Let z(v) be the second derivative of 3*v**4 + 52*v**3/3 - 6*v**2 + 615*v. Factor z(l).
4*(l + 3)*(9*l - 1)
Let q(i) be the first derivative of 1/10*i**5 + 81/2*i + 46 + 3/2*i**4 + 27*i**2 + 9*i**3. Factor q(o).
(o + 3)**4/2
Let h(l) be the first derivative of -2*l**6/3 + 32*l**5/5 + 63*l**4 - 936*l**3 + 2376*l**2 + 7776*l + 997. Factor h(d).
-4*(d - 6)**3*(d + 1)*(d + 9)
Suppose -25*t - 360 = -28*t. Let n = t + -72. Factor 5*g**2 - 9 + n + 59 - 3*g**2 + 28*g.
2*(g + 7)**2
Let s(k) be the first derivative of -k**4/44 + 79*k**3/33 - 76*k**2 + 4332*k/11 - 441. Factor s(o).
-(o - 38)**2*(o - 3)/11
Let v(q) be the second derivative of q**7/42 - 2*q**6/15 - 2*q**5/5 + 7*q**4/6 + 7*q**3/6 - 5*q**2 - 576*q. Suppose v(x) = 0. What is x?
-2, -1, 1, 5
Let a(l) be the third derivative of 6*l - 23*l**4 + l**2 + 0 + 2881/300*l**5 + 3/50*l**7 + 30*l**3 - 1/1680*l**8 - 361/200*l**6. Solve a(f) = 0 for f.
1, 30
Let z(w) be the second derivative of -3*w**2 - 19*w - 1/4*w**3 - 1/480*w**6 + 7/96*w**4 + 0 + 0*w**5. Let f(s) be the first derivative of z(s). Factor f(y).
-(y - 2)*(y - 1)*(y + 3)/4
Let u(n) be the second derivative of -9*n + 1/7*n**3 + 0 - 1/28*n**4 + 9/14*n**2. Suppose u(h) = 0. Calculate h.
-1, 3
Let y(v) be the first derivative of v**6/60 + 3*v**5/10 - 7*v**4/4 + 11*v**3/3 + v**2/2 + 63*v + 22. Let a(b) be the second derivative of y(b). Factor a(x).
2*(x - 1)**2*(x + 11)
Find b, given that -28*b**2 + 77*b**4 - 34*b**4 + 42 + 38 + 18*b**3 - 41*b**4 - 72*b = 0.
-10, -2, 1, 2
Let d(h) be the second derivative of 3/50*h**6 - 11/100*h**5 + 2/15*h**3 + 0*h**2 + 0*h**4 - 1/105*h**7 + 0 - 32*h. What is z in d(z) = 0?
-1/2, 0, 1, 2
Let a be 28/6 - 40/60. Suppose -a*y - y + 4 = 3*b, -13 = -5*b - 2*y. Factor 26/5*w**2 + 6/5*w**b - 2 - 22/5*w.
2*(w - 1)*(w + 5)*(3*w + 1)/5
Let w(v) be the first derivative of -2*v**2 - 6*v + 16/3*v**3 - 106. Factor w(n).
2*(2*n + 1)*(4*n - 3)
Let j = -546 - -550. Let g be ((-2)/4 + 3/j)/1. Factor g*i**2 + 9/4 + 3/2*i.
(i + 3)**2/4
Let o(r) be the third derivative of -1/270*r**5 + 5/108*r**4 - 4/27*r**3 + 41*r**2 + 0 + 0*r. Suppose o(k) = 0. Calculate k.
1, 4
Let p(d) be the second derivative of -d**6/30 - d**5/10 + 5*d**4/12 + d**3 - 376*d - 3. Find r such that p(r) = 0.
-3, -1, 0, 2
Let c = 3830 - 3824. Let t(h) be the third derivative of -22*h**2 - 1/48*h**4 + 1/840*h**7 + 0*h + 0*h**3 + 0 - 1/120*h**c + 1/48*h**5. Solve t(b) = 0 for b.
0, 1, 2
Let l(z) be the second derivative of z**4/66 - 5*z**3/33 - 24*z**2/11 - 6*z + 49. Find v, given that l(v) = 0.
-3, 8
Let g(r) = 66*r**3 - 444*r**2 + 27*r - 27. Let x(y) = -5*y**3 + 34*y**2 - 2*y + 2. Let t(k) = 2*g(k) + 27*x(k). Factor t(u).
-3*u**2*(u - 10)
Suppose -6*c + 2*n + 6 = -2*c, 0 = 4*c - 3*n - 9. Suppose -15*o - 2*o + 170 = c. What is s in -4*s + o - 4*s**2 - 9*s**2 - s + 8*s**2 = 0?
-2, 1
Let r(h) be the first derivative of -11*h**4/4 - 3*h**3 + 232*h**2 - 84*h + 2951. Suppose r(i) = 0. What is i?
-7, 2/11, 6
Let l be -5*(65/25 + -4). Let a be 3/(2 + l/(-14)). Factor 2/9 + 0*k**3 - 4/9*k**a + 2/9*k**4 + 0*k.
2*(k - 1)**2*(k + 1)**2/9
Let y(f) = 4*f**2 + 32*f - 125. Let s be y(4). Let s*p + 1209*p - 308*p**4