 be (13/s)/(2/(-4)) - -3. Factor -18/7*u + 6/7*u**q - 24/7.
6*(u - 4)*(u + 1)/7
Let z(m) be the second derivative of -m**6/225 - 18*m**5/25 + 224*m**4/45 - 11753*m. Factor z(s).
-2*s**2*(s - 4)*(s + 112)/15
Let u(j) be the second derivative of -j**7/49 - 19*j**6/35 - 243*j**5/70 - 29*j**4/14 + 130*j**3/7 + 4451*j. Solve u(a) = 0 for a.
-13, -5, -2, 0, 1
Let k(p) = 4408*p + 30859. Let o be k(-7). Solve 162/7*l + 165/7*l**2 + 0 + 3/7*l**o = 0 for l.
-54, -1, 0
Let g(w) = 22*w - 395. Let c be g(20). Let m be ((c/(-10))/(-9))/(1/6). Determine y, given that 0*y - 10*y**5 - 15/2*y**m - y**2 - 33/2*y**4 + 0 = 0.
-1, -2/5, -1/4, 0
Suppose 51*r = 57*r. Suppose -a = 2*n - 6, -n - 3*a = -r*n - 8. Factor 0*p + 1/3*p**n - 4/3.
(p - 2)*(p + 2)/3
Let o(y) be the first derivative of -y**6/2520 + y**5/168 - 71*y**3/3 + 53. Let a(h) be the third derivative of o(h). Factor a(x).
-x*(x - 5)/7
Let r be (-9638)/(-20) + (-28)/70. Let g = r + -480. Let 3/2 - 3/2*c**2 + 3/2*c**3 - g*c = 0. What is c?
-1, 1
Let w(y) be the first derivative of -4*y**6/15 + 72*y**5/5 - 2417*y**4/10 + 17368*y**3/15 - 1392*y**2 + 640*y - 3135. Let w(o) = 0. Calculate o.
1/2, 4, 20
Let t(p) be the third derivative of -p**5/15 - 46*p**4/3 - 344*p**3 - 5723*p**2. Find g, given that t(g) = 0.
-86, -6
Let o(f) be the second derivative of f**4/30 + 2*f**3 + 81*f**2/5 - 1630*f. Find l such that o(l) = 0.
-27, -3
Let g = -10210 - -10212. Let q(r) be the second derivative of 0*r**4 - 1/42*r**7 + 18*r - 1/30*r**6 + 0*r**3 + 0*r**g + 0*r**5 + 0. Factor q(h).
-h**4*(h + 1)
Suppose 7*h = 13 + 1. Let q(c) = c**2 + 4*c - 10. Let v be q(-6). Find k, given that -k**2 + 0*k**v - 5*k**h - 2*k**4 - 3*k**5 + 3*k + 8*k**4 = 0.
-1, 0, 1
Factor 1866/7*h**2 + 1587/7 + 3/7*h**4 + 144/7*h**3 + 3312/7*h.
3*(h + 1)**2*(h + 23)**2/7
Suppose 10*z - 6*z + 512 = -22*z + 564. What is w in 1/2*w**z - 14 - 27/2*w = 0?
-1, 28
Let f be -5*(34/(-5) - -7 - (-6)/(-10)). Factor 33*j - 1/2*j**f - 1089/2.
-(j - 33)**2/2
Suppose g + 176 - 220 = 0. Suppose -5*w = 44 - g. Factor -2/15*y**4 + 2/15*y**2 + w - 2/15*y + 2/15*y**3.
-2*y*(y - 1)**2*(y + 1)/15
Let k = 959034 + -959031. Factor -4/9*a**4 + 32/9*a + 0 - 8/9*a**k + 16/9*a**2.
-4*a*(a - 2)*(a + 2)**2/9
Factor -158/11*q + 108/11 + 48/11*q**2 + 2/11*q**3.
2*(q - 2)*(q - 1)*(q + 27)/11
Let w(q) be the first derivative of -q**5/30 - 13*q**4/8 + 9*q**3/2 - 41*q**2/12 + 1170. Find i such that w(i) = 0.
-41, 0, 1
Let o(x) be the first derivative of 12*x - 3/4*x**3 + 27/4*x**2 + 1/32*x**4 + 3. Let r(i) be the first derivative of o(i). Find b, given that r(b) = 0.
6
Let a(z) be the third derivative of -z**8/588 + 46*z**7/735 + 37*z**6/42 - 37*z**5/15 - 920*z**4/21 + 5800*z**3/21 + 2*z**2 + 196. Solve a(r) = 0 for r.
-5, 2, 29
Let f(r) be the third derivative of -1/672*r**8 + 0*r + 1/60*r**6 + 0*r**3 - 1/420*r**7 + 0*r**4 + 0 + 1/30*r**5 + 19*r**2. Solve f(y) = 0.
-2, -1, 0, 2
What is c in -2/11*c**2 - 570312/11 - 2136/11*c = 0?
-534
Let b be (-195)/(-26) + 300/(-40). Let -1/2*u**2 + b - 4*u = 0. What is u?
-8, 0
Let o(x) be the first derivative of 11/6*x**3 + 9*x + 39/4*x**2 + 29. What is p in o(p) = 0?
-3, -6/11
Let j = 11891/19000 - 2/2375. Let x(y) be the first derivative of -1/2*y + 1/4*y**3 + j*y**2 + 7. Let x(r) = 0. Calculate r.
-2, 1/3
Let j = 219/6817 + 34029369/34085. Find u such that -2/5*u**3 - 9216/5 - j*u - 196/5*u**2 = 0.
-48, -2
Let r(l) be the second derivative of -l**6/540 + 8*l**5/45 - 64*l**4/9 + 143*l**3/6 + 7*l. Let x(g) be the second derivative of r(g). Factor x(n).
-2*(n - 16)**2/3
Let h(i) = -i**2 + 11*i - 48. Let n = 32 + -42. Let z(s) = -4*s**2 + 34*s - 146. Let f(t) = n*h(t) + 3*z(t). Factor f(x).
-2*(x - 3)*(x + 7)
Let b be ((-11)/(-2))/(10868/3952). Factor -4*z**b - 15/2*z - 1/6*z**3 - 11/3.
-(z + 1)**2*(z + 22)/6
Let d be (-24*10/(-400))/(3*2/30). Let q(u) be the first derivative of -5/4*u**4 - 135/2*u**2 - 135*u + 8 - 15*u**d. Factor q(w).
-5*(w + 3)**3
Let s(r) be the third derivative of -r**7/420 + r**6/16 + 13*r**5/30 + 3*r**4/4 + 1584*r**2. Find j, given that s(j) = 0.
-2, -1, 0, 18
Factor -29*p**3 + 32*p**3 - 1236*p - 356 + 300*p**2 + 816 + 782 + 6.
3*(p - 2)**2*(p + 104)
Factor -133*p**2 + 900*p + 16 + 39*p**2 - 115*p**2 - 17*p**2.
-2*(p - 4)*(113*p + 2)
Let a(z) = 6*z**3 - 548*z**2 - 34310*z + 70752. Let t(k) = 10*k**3 - 1091*k**2 - 68621*k + 141505. Let x(i) = -7*a(i) + 4*t(i). Factor x(w).
-2*(w - 2)*(w + 133)**2
Suppose 0 = 30*b + 229 - 19. Let f be b/42*9/(-2). Let f - o + 1/4*o**2 = 0. What is o?
1, 3
Let i(f) = -6*f**2 - f - 2. Let n(x) = 34*x**2 + 4*x + 276. Let b(s) = 6*i(s) + n(s). Factor b(o).
-2*(o - 11)*(o + 12)
Let k be 255/(-6) - (-12)/8. Let p = k + 43. Find n, given that -52*n + 5*n**3 - p*n**3 + 49*n = 0.
-1, 0, 1
Find m, given that 222 - 3/2*m**3 + 63*m**2 - 567/2*m = 0.
1, 4, 37
Let x(r) be the first derivative of 7*r**6/3 + 12*r**5 - 13*r**4/2 - 152*r**3/3 + 36*r**2 + 32*r + 2511. Determine z, given that x(z) = 0.
-4, -2, -2/7, 1
Let q(j) be the first derivative of -3*j**4/32 - 535*j**3/8 - 26733*j**2/2 + 26934*j - 161. Find c such that q(c) = 0.
-268, 1
Let k(a) be the second derivative of a**7/600 + 47*a**6/1200 - 7*a**5/100 + a**4/6 - 20*a**2 + 110*a. Let o(m) be the third derivative of k(m). Factor o(s).
3*(s + 7)*(7*s - 2)/5
Let p(w) be the third derivative of -w**6/120 + 2*w**5/15 - 2*w**4/3 + 22*w**2 + 30. Suppose p(c) = 0. Calculate c.
0, 4
Let t(d) be the third derivative of -d**5/360 + 775*d**4/36 - 600625*d**3/9 + 4*d**2 + 46*d - 6. Factor t(k).
-(k - 1550)**2/6
Suppose 15/2 - 57/2*m**3 + 81/8*m**2 + 51*m + 39/8*m**4 = 0. What is m?
-1, -2/13, 2, 5
Let j(y) be the second derivative of -y**8/336 - 11*y**7/315 - 2*y**6/45 + y**4/4 - 42*y. Let h(w) be the third derivative of j(w). Factor h(c).
-4*c*(c + 4)*(5*c + 2)
Suppose 202*j - j = 18*j. Let q = 14 - 14. Solve j*w + q - 4/3*w**4 - 4/3*w**3 + 0*w**2 = 0 for w.
-1, 0
Let w(f) = -85*f**2 + 65*f + 20. Let c(a) be the third derivative of 127*a**5/60 - 97*a**4/24 - 5*a**3 - 2*a**2 - 16*a. Let n(r) = 5*c(r) + 8*w(r). Factor n(m).
-5*(m - 1)*(9*m + 2)
Let k(b) be the third derivative of -11*b**2 + 0 + b + 0*b**3 + 1/1470*b**7 + 0*b**4 - 1/105*b**6 - 1/35*b**5 + 1/2352*b**8. Find h, given that k(h) = 0.
-2, 0, 3
Factor 143 - l**2 - 53*l + 16*l + 88 + 27*l.
-(l - 11)*(l + 21)
Let t = -84507 + 760663/9. Determine f, given that -4/9 + 2/9*f + t*f**2 - 50/9*f**3 = 0.
-1/5, 1/5, 2
Let f be 56/21 - (-2)/(-4 - -10). Determine i so that 5*i**2 + 2*i**3 + 291*i - i**f - 291*i = 0.
-5, 0
Let l = 562 - 560. Solve -18*f**3 + f**5 + 5*f**4 + 91*f**3 - 27*f**3 + 4*f**l - 20*f**3 - 18*f**3 = 0 for f.
-2, -1, 0
Suppose -81 = -4*i - 57. Factor -i*j**2 - 10*j - 79*j + 8*j + 9*j**2.
3*j*(j - 27)
Factor 1333*b**2 - 56082066792 + 63393444*b - 25219*b**2 + 35*b**3 - 32*b**3.
3*(b - 2654)**3
Suppose 377 = 106*k + 59. Let p(l) be the first derivative of -2/3*l - 4 + 2/9*l**k + 0*l**2. Factor p(z).
2*(z - 1)*(z + 1)/3
Suppose -4*n + 24 = -0*n. Suppose n*a = 18 - 6. Factor j - 12 - j**3 + 8 + 3*j**2 + a - j**4.
-(j - 1)**2*(j + 1)*(j + 2)
Suppose -10/13*d**3 + 112/13*d**2 - 84/13 - 4/13*d**4 - 110/13*d = 0. Calculate d.
-7, -1/2, 2, 3
Let w(q) = 554*q**3 - 684*q - 55*q**2 - 516*q - 555*q**3 - 8000. Let k(z) = -z**3 - 56*z**2 - 1200*z - 8000. Let b(y) = -5*k(y) + 4*w(y). Factor b(u).
(u + 20)**3
Let h(t) = 2*t**3 - 12*t**2 + 163*t - 111. Let o(v) = -9*v**3 + 48*v**2 - 664*v + 443. Let q(c) = 26*h(c) + 6*o(c). Let q(g) = 0. What is g?
-19, 1, 6
Let x = -3/7907 + 7955/126512. Let g(v) be the first derivative of 16 - 1/6*v**3 - 1/8*v**2 + x*v**4 + 1/2*v. Factor g(u).
(u - 2)*(u - 1)*(u + 1)/4
Suppose 9*o - 7*o = g - 5, 5*o = g - 8. Let y(k) = 13*k**4 - 15*k**3 + 3*k**2 - 2*k - 1. Let b(t) = t**4 - 2*t - 1. Let f(z) = o*b(z) + y(z). Factor f(p).
3*p**2*(p - 1)*(4*p - 1)
Let g = 5754 + -5751. Let q(b) be the third derivative of 0*b + 0*b**g - 1/42*b**4 + 14*b**2 - 1/70*b**5 - 1/420*b**6 + 0. Factor q(i).
-2*i*(i + 1)*(i + 2)/7
Let d be 3922/29600 - 12/100. Let p(r) be the third derivative of 1/48*r**4 + 0 - 24*r**2 + 0*r + 1/840*r**7 + 0*r**3 + 0*r**6 - d*r**5. Factor p(k).
k*(k - 1)**2*(k + 2)/4
Factor -128/13 - 22/13*u**2 - 192/13*u.
-2*(u + 8)*(11*u + 8)/13
Let n = 343 + -303. Suppose -n = -17*w - 6. F