j**2 + 32*j - 18. Let t(y) = 8*y**2 + 33*y - 21. Let m(q) = -6*t(q) + 5*x(q). Find c such that m(c) = 0.
1, 18
Let i(d) be the second derivative of 0*d**5 + 4*d + 2/9*d**4 + 0*d**3 + 29/2*d**2 - 1/90*d**6 + 0. Let y(k) be the first derivative of i(k). Factor y(f).
-4*f*(f - 2)*(f + 2)/3
Let w(n) be the third derivative of -2/525*n**7 - 1/50*n**6 + 0*n**3 + 0*n**4 + 0*n - n**2 + 3 - 2/75*n**5. Let w(t) = 0. Calculate t.
-2, -1, 0
Factor 1/2*f**5 + 0 + 16*f**4 - 67/2*f**3 + 0*f + 17*f**2.
f**2*(f - 1)**2*(f + 34)/2
Factor -36*x**3 + 40*x**2 - 13984*x + 14025*x + 35*x**3.
-x*(x - 41)*(x + 1)
Let k = -891 + 874. Let r = k + 52/3. Factor 8/3*z + 0 + 4/3*z**2 - 2/3*z**3 - r*z**4.
-z*(z - 2)*(z + 2)**2/3
Factor -2/13*c**3 - 2370/13*c + 3528/13 + 404/13*c**2.
-2*(c - 196)*(c - 3)**2/13
Factor 2118*v + 3084*v**2 - 3495*v**2 - 1704 + 481*v**3 - 484*v**3.
-3*(v - 4)*(v - 1)*(v + 142)
Factor b**4 + 54 + 17*b**3 - 7*b**4 + 3*b**2 + 59 - 113.
-b**2*(b - 3)*(6*b + 1)
Let a(k) = -k**2 - 3*k + 58. Let d be a(6). Suppose 8 = 4*x - d*c, 5*x + 3*c + 1 - 3 = 0. Solve 5/4*t**2 + t - 5/4*t**3 + 1/4*t**5 - 1/4*t**4 - x = 0 for t.
-2, -1, 1, 2
Let r be (-5)/2 - -2 - ((-82661)/(-56790) + (-12)/5). What is x in -r*x**2 - 1/9*x**3 + 0 - 1/3*x = 0?
-3, -1, 0
Suppose 3*q - 1 = -v + 20, 3*v - 2*q + 3 = 0. Let w(f) be the first derivative of 0*f + 15 + f**2 - 2/3*f**v. What is n in w(n) = 0?
0, 1
Determine n so that 19*n**4 + 132*n**3 - 8*n**4 - 5*n**4 - 5*n**4 - 4*n**4 = 0.
0, 44
Let y = -630 - -633. Let q(i) be the third derivative of -3/320*i**6 - 1/560*i**7 + 0*i - 15*i**2 + 0*i**4 + 0 + 0*i**y - 1/80*i**5. Factor q(n).
-3*n**2*(n + 1)*(n + 2)/8
Let w(i) be the second derivative of 0 + 26/9*i**3 + 0*i**2 - 200*i - 1/36*i**4. Factor w(t).
-t*(t - 52)/3
Let l(t) be the second derivative of -t**4/72 + 13*t**3/4 + 59*t**2/6 - 2824*t. Factor l(m).
-(m - 118)*(m + 1)/6
Let d(j) be the third derivative of -j**2 + 12*j + 0 - 5/48*j**4 + 0*j**3 + 1/120*j**5. Find b such that d(b) = 0.
0, 5
Let d(m) be the third derivative of 25*m + 35/24*m**4 - 1/12*m**5 + 0 + 20/3*m**3 - m**2. Factor d(t).
-5*(t - 8)*(t + 1)
Suppose -50555*o**2 - 24*o**3 + 25229*o**2 + 25281*o**2 - 3*o**4 = 0. What is o?
-5, -3, 0
Let z(f) be the third derivative of f**8/1680 + f**7/70 + 19*f**6/300 + 2*f**5/25 + 2*f**2 + 104*f + 10. What is q in z(q) = 0?
-12, -2, -1, 0
Solve 3487512*m**2 - 3490112*m**2 - 395 - 3156*m - 92*m**3 - 253 = 0.
-27, -1, -6/23
Factor 24366*u - 24105*u + 66 - 14*u**2 + 2*u**2.
-3*(u - 22)*(4*u + 1)
Let a be (-957)/(-8932) + (-978)/(-280). Find j such that 16/5*j + a*j**2 + 0 = 0.
-8/9, 0
Suppose 48 = 5*s + 2*x, -4*s + 41 = 49*x - 50*x. Let m(o) be the first derivative of 1/8*o**2 + 1/16*o**4 - 1/6*o**3 + s + 0*o. Factor m(y).
y*(y - 1)**2/4
Let z(p) be the first derivative of p**3/3 + 105*p**2 - 424*p + 2128. Let z(c) = 0. What is c?
-212, 2
Let o(c) = 2*c**2 - 529*c - 4919. Let y be o(-9). Suppose -39/10*k**2 - 1/10*k + 1/5 - 22/5*k**y - 8*k**3 = 0. Calculate k.
-1, -1/2, 2/11
Suppose f + 5*y + 12 = 0, 31 = -4*f + y + 4. Let x be 5 - f/(-42) - 2/(-12). Determine m, given that 2*m + 13*m - x + 15*m**3 - 20*m**3 - 5 = 0.
-2, 1
Let a be 1880/(-15)*1/60. Let p = -8/9 - a. Factor 36/5*z**2 - 24/5*z**3 + 6/5 + p*z**4 - 24/5*z.
6*(z - 1)**4/5
Determine g so that 20/3 - 8/3*g**3 - 7*g**2 + 1/3*g**4 + 8/3*g = 0.
-2, -1, 1, 10
Suppose -27*r = 2*r - 174. Let c(q) = -4*q**3 - 21*q**2 - 147*q - 346. Let o(v) = -15*v**3 - 84*v**2 - 588*v - 1383. Let k(b) = r*o(b) - 22*c(b). Factor k(d).
-2*(d + 7)**3
Factor -6/11*m**3 + 1710/11*m + 36822/11 - 126/11*m**2.
-6*(m - 17)*(m + 19)**2/11
Let k(j) be the third derivative of -1/32*j**4 - 1/60*j**5 + 1/240*j**6 + 0*j + 0 + 1/210*j**7 + 0*j**3 + 49*j**2 + 1/1344*j**8. Factor k(l).
l*(l - 1)*(l + 1)**2*(l + 3)/4
Suppose -11 = 5*l - 3*x - 54, -3*l + 49 = 4*x. Suppose l*i - 25*i + 9*i = 0. Factor 0 - 4/3*y**2 + 2/3*y + 4/3*y**4 - 2/3*y**5 + i*y**3.
-2*y*(y - 1)**3*(y + 1)/3
Let m(f) be the third derivative of -f**5/60 + f**4/6 + 16*f**3 - 287*f**2. Find h such that m(h) = 0.
-8, 12
Let p be ((-520)/65 - (0 + -25)) + -15. Factor 0*z**2 + 3/2*z**3 - p*z + 0 + 1/2*z**4.
z*(z - 1)*(z + 2)**2/2
Let h(j) be the second derivative of 1/100*j**5 + 1/20*j**4 + 14*j + 1/2*j**2 - 3/10*j**3 + 0. What is r in h(r) = 0?
-5, 1
Let h(b) = -22*b - 20. Let s be h(-2). Factor 5*w**5 + 92*w + 20*w**3 - 2*w**5 - 136*w**2 + w**5 - 32*w**4 + 76*w**3 - s.
4*(w - 3)*(w - 2)*(w - 1)**3
Let q(c) be the third derivative of c**6/60 - 16*c**5/5 + 93*c**4/4 + 204*c**2 + 3. Factor q(y).
2*y*(y - 93)*(y - 3)
Let d be 518/8288*128/20. Determine l so that -d*l**2 - 104/5*l - 1352/5 = 0.
-26
Let b(m) = 10*m**2 - 12*m + 26. Let n(g) = 8*g**2 - 11*g + 25. Let k(p) = -p**3 - 11*p**2 + 5*p + 49. Let l be k(-11). Let f(t) = l*n(t) + 5*b(t). Factor f(z).
2*(z - 2)*(z + 5)
Let o = 1265 + -1250. Let i(x) = -8*x - 8. Let d be i(-7). Suppose -72*t**5 + d*t**5 + 24*t**4 + o*t**3 + 3*t**2 + 36*t**5 = 0. Calculate t.
-1, -1/2, 0
Let -338 + 7427/4*x**2 + 11/4*x**3 - 3043/2*x = 0. What is x?
-676, -2/11, 1
Let 292/9*f + 0 + 4/9*f**2 = 0. What is f?
-73, 0
Let w(h) = -h**3 - 309*h**2 - 938*h - 6118. Let t be w(-306). Determine n so that 2*n - 2/13*n**3 + 20/13*n**t - 44/13 = 0.
-2, 1, 11
Let h = 128 - -401. Let i = -527 + h. Determine z so that -z**4 + 6/5*z**3 + 1/5*z**5 + 2/5*z**i + 3/5 - 7/5*z = 0.
-1, 1, 3
Let g(n) be the first derivative of 18/5*n**2 - 5 - 38/5*n + 2/15*n**3. Find j such that g(j) = 0.
-19, 1
Let k(a) = -5*a**3 + 5*a. Suppose 0 = -9*w - 11 - 7. Let p(c) = -5*c**3 + 5*c. Let y(r) = w*k(r) + 3*p(r). Factor y(x).
-5*x*(x - 1)*(x + 1)
Let u(b) be the second derivative of 22/3*b**4 + 40*b**2 + 24*b + 82/3*b**3 + 1/5*b**5 + 0. Factor u(l).
4*(l + 1)**2*(l + 20)
Let g(x) = -x**5 + 8*x**4 + 3*x**3 - 11*x**2 - 8*x. Suppose 31 = -10*b - 29. Let h(a) = -a**5 - a**3 - a**2. Let d(k) = b*h(k) + 2*g(k). Solve d(s) = 0 for s.
-2, -1, 0, 1
Let k = -282 + 357. Let l be 13/6 - k/(-150). Let -8/3*m**2 - 2/3*m**3 - l*m + 0 = 0. Calculate m.
-2, 0
Let d(g) = 18*g**3 - 2754*g**2 + 94668*g + 19002. Let c(w) = -35*w**3 + 5507*w**2 - 189336*w - 37983. Let h(y) = -2*c(y) - 5*d(y). Solve h(u) = 0.
-1/5, 69
Let o = 31 - 13. Let m = -168 + 261. Factor -m + 6*n**2 - 30*n + o - 6*n**2 - 3*n**2.
-3*(n + 5)**2
Let a = 344 + -345. Let y be (a*(-16)/72)/((-3)/(-54)). Factor -2/7 + 4/7*w**3 + 0*w**2 + 2/7*w**y - 4/7*w.
2*(w - 1)*(w + 1)**3/7
Let m(c) be the second derivative of 2*c**7/21 + 6*c**6/5 - 119*c**5 - 1829*c**4/3 - 1228*c**3 - 1232*c**2 - 61*c - 9. Factor m(x).
4*(x - 22)*(x + 1)**3*(x + 28)
Factor -40/3 + 32/3*v**2 + 118/3*v.
2*(v + 4)*(16*v - 5)/3
What is x in 247*x**2 + 1/3*x**5 + 0 - 7*x**4 + 43/3*x**3 + 676/3*x = 0?
-4, -1, 0, 13
Let o(d) = -2*d**2 + 14*d - 18. Let x(g) = 1. Let u = 3 + 30. Let t = 32 - u. Let l(n) = t*o(n) - 6*x(n). Factor l(j).
2*(j - 6)*(j - 1)
Factor -6228177*l - 9785156*l + 15688926720 - 16136107*l + 21960*l**2 - 5*l**3.
-5*(l - 1464)**3
Let m = 201215 + -201214. Factor m + 11/2*n**2 + 23/2*n.
(n + 2)*(11*n + 1)/2
Factor 157/2*l - 21/2*l**2 - 135/2 - 1/2*l**3.
-(l - 5)*(l - 1)*(l + 27)/2
Let m be ((-2)/(-20))/((-7960)/(-63680)). Factor 0 + 0*d + 0*d**2 + 1/5*d**5 - m*d**4 + 0*d**3.
d**4*(d - 4)/5
Let d = 5614 + -202103/36. Let n(x) be the third derivative of -1/72*x**6 + 0 + 5/72*x**4 + 0*x - 5/18*x**3 + 7*x**2 + d*x**5. Factor n(l).
-5*(l - 1)**2*(l + 1)/3
Let a(j) = -2*j**2 - 7*j + 7. Suppose -164 = 16*x - 116. Let m(d) = 0*d + d - 3 + 2*d + d**2. Let z(b) = x*a(b) - 7*m(b). Find t, given that z(t) = 0.
0
Let k(z) = 2*z - 44. Let l be k(23). Suppose 4*x = -0*x + 4*u + 12, 2*u - l = 0. Let 0 + 15/2*n**2 - 5/2*n + 5/2*n**x - 15/2*n**3 = 0. What is n?
0, 1
Let m(w) be the first derivative of 343*w**6/36 + 2156*w**5/5 + 6776*w**4 + 340736*w**3/9 - 6068. Solve m(v) = 0.
-88/7, 0
Let f(u) be the second derivative of -2*u**6/15 + 3*u**5 + 21*u**4 - 90*u**3 - 972*u**2 + 2933*u. Suppose f(i) = 0. Calculate i.
-3, 3, 18
Let c = 334582/21 - 111525/7. Factor -1/4*s**2 + c + 1/3*s.
-(s - 2)*(3*s + 2)/12
Let l be (-15)/6 - 33/(-6). Let i be l/(27/2) + (-580)/(-90). Determine b so that 6 + 4*b**3 - 2*b**4 + i*b**2 - 14*b - 2/3*b**5 = 0.
-3, 1
Let d = 1/15502 - -93005/108514. Let 4056/7 - 312/7*h + 