5*n - 1331*n**5 + p*n**3 + 0 - 224/5*n**2.
-n*(5*n + 2)*(11*n - 2)**3/5
Let j = 10594/30905 - 252/4415. Determine p, given that 10/7*p**3 + j*p**4 - 10/7*p**2 - 2/7*p**5 + 8/7 - 8/7*p = 0.
-2, -1, 1, 2
Let z(p) be the third derivative of -p**6/180 - p**5/15 + p**4 - 43*p**3/6 - 6*p**2 - 3*p. Let i(c) be the first derivative of z(c). Factor i(d).
-2*(d - 2)*(d + 6)
Suppose 123*g - 52 = -156*g - 107 + 55. Factor -54/5*f - 6/5*f**2 + g.
-6*f*(f + 9)/5
Let f(i) be the second derivative of -3*i**5/80 + 21*i**4/16 + 23*i**3/4 - 925*i - 2. Find x, given that f(x) = 0.
-2, 0, 23
Let l(k) = 6*k**2 - 86*k - 80. Let o(t) = -4*t**2 + 84*t + 79. Let f(b) = -6*l(b) - 8*o(b). Factor f(y).
-4*(y + 1)*(y + 38)
Let d = 741 - 8141/11. Let t be (3 - 1)*((-6)/(-165))/((-107)/(-1070)). Factor d - 2/11*y**2 - t*y.
-2*(y - 1)*(y + 5)/11
Let j be (0 - 1870)*13/(-26). Let u = -933 + j. Factor 2/5*s**3 - 3/10 + 3/2*s**u + 4/5*s.
(s + 1)*(s + 3)*(4*s - 1)/10
Let p(d) be the second derivative of d**5/210 - 31*d**4/42 + 961*d**3/21 + 27*d**2 - 34*d - 2. Let m(h) be the first derivative of p(h). Solve m(x) = 0 for x.
31
Let l be (-1188)/(-44) + -43 - -16. Determine y so that 0 - 1/2*y**5 + l*y**2 + 0*y - 14*y**4 - 98*y**3 = 0.
-14, 0
Let 2/15*w**4 - 65370528/5 - 6429888*w + 266448/5*w**2 - 2192/15*w**3 = 0. What is w?
-2, 366
Let q be 4 + 2*(0 + -1). Let t(a) = 61*a - 54. Let y be t(5). Factor y - 4*h**q - 12*h - 251.
-4*h*(h + 3)
Let b be 6/(-21) + ((-135724)/(-28) - 1). Let t be b + 0 + 4 + -7. Find r such that 20*r**2 - 5*r - 4843 - 5*r**5 - 30*r**3 + 20*r**4 + t = 0.
0, 1
Let a(r) be the first derivative of r**3 + 15*r**2 + 72*r - 329. Factor a(g).
3*(g + 4)*(g + 6)
Let z(h) be the first derivative of 81 - 5/19*h**2 + 0*h + 2/57*h**3. Factor z(w).
2*w*(w - 5)/19
Let o(v) = -v**3 + 12*v**2 + 10*v - 7. Let j be o(13). Let x = -44 - j. Factor x*t**4 - 24*t - 32 + 68 - 28 - 12*t**3 + 26*t**2.
2*(t - 2)**2*(t - 1)**2
Let u(q) be the first derivative of 65 - 2/27*q**3 + 4/3*q**2 - 70/9*q. Suppose u(n) = 0. What is n?
5, 7
Suppose 5*s + 250 = 270. Suppose -982*d + 979*d - 3*d**2 + 2 + s*d**2 = 0. What is d?
1, 2
Factor 15488 + 4048*b + 529/2*b**2.
(23*b + 176)**2/2
Let l(d) be the third derivative of 1/15*d**5 + 0*d**3 - 1/360*d**6 + 0 + 3*d - 9*d**2 - 11/72*d**4. Determine m so that l(m) = 0.
0, 1, 11
Let j(q) be the third derivative of -q**5/80 + 329*q**4/32 + 165*q**3/4 + 1108*q**2. Determine b so that j(b) = 0.
-1, 330
Factor 48/7*b + 2/7*b**3 + 22/7*b**2 - 72/7.
2*(b - 1)*(b + 6)**2/7
Let a(t) be the third derivative of -t**6/165 + 59*t**5/66 + 17*t**4/6 + 25*t**3/11 + 1089*t**2. Determine f so that a(f) = 0.
-1, -1/4, 75
Let n be ((-19)/(-190))/(72/320). Factor -10/9*y**3 + n*y**2 - 2/9*y**5 + 8/9*y**4 + 0 + 0*y.
-2*y**2*(y - 2)*(y - 1)**2/9
Let m = -178 - -199. Determine c, given that -24*c**2 - 18*c**2 + 54*c**4 + 50*c**2 - m*c**3 - 26*c**2 - 15*c**5 = 0.
-2/5, 0, 1, 3
Let s be -8 - (54/(-36))/(3/20). Let h(c) be the second derivative of 0 + 0*c**4 + 1/12*c**3 + 1/8*c**s - 1/40*c**5 - 9*c - 1/120*c**6. Factor h(v).
-(v - 1)*(v + 1)**3/4
Let x(a) be the first derivative of -2*a**3/3 + 47*a**2 - 740*a + 6190. Factor x(h).
-2*(h - 37)*(h - 10)
Factor -2/5*g**3 + 28/5*g**2 + 16*g - 256/5.
-2*(g - 16)*(g - 2)*(g + 4)/5
Suppose 5*f + 2*t = 1134, 234 = 5*f - 4*f - 2*t. Let i be (-8)/6 + 418/f. Factor 32 + i*n**2 - 8*n.
(n - 8)**2/2
Let u be 0 - (4 + (2 - 8)). Suppose -4*t + u*s = -14, -t - 2*s = -4*t + 12. Suppose -1033*v + v**t + 1033*v = 0. What is v?
0
Let t = -132 - -136. Determine z, given that 201*z**4 - 90*z**3 + 72*z + 9 + 405*z**5 - t - 67*z - 90*z**2 + 204*z**4 = 0.
-1, -1/3, 1/3
Let m(l) be the third derivative of 0 + 59/120*l**6 + 0*l + 50/3*l**3 + 103*l**2 + 1/105*l**7 + 79/20*l**5 + 38/3*l**4. Determine n so that m(n) = 0.
-25, -2, -1/2
Let u(s) be the first derivative of 1/4*s**3 + 0*s + 3*s**2 - 51. Suppose u(a) = 0. Calculate a.
-8, 0
Solve 2/3*q**4 + 482/3*q + 118*q**2 + 68 + 26*q**3 = 0 for q.
-34, -3, -1
Let n(d) = 2*d**2 + 7*d - 26. Let s be n(3). Let p be 2*1/s - 1218/(-2730). Determine j so that -3/5 + 6/5*j - p*j**2 = 0.
1
Let q(m) be the second derivative of 2*m**2 + 2/15*m**6 + 2*m**4 - 4/5*m**5 + 2 + 11*m - 8/3*m**3. Factor q(r).
4*(r - 1)**4
Let t = 1340 + -1325. Let z be (t - 9 - 815/35)*-3. Factor 66/7*p - z - 3/7*p**2.
-3*(p - 11)**2/7
Let -115/3*l + 1/9*l**3 + 4*l**2 + 308/9 = 0. What is l?
-44, 1, 7
Let h(d) be the third derivative of d**6/210 - 2*d**5/5 + 113*d**4/42 + 104*d**3/7 + 1179*d**2. Suppose h(t) = 0. Calculate t.
-1, 4, 39
Let d(i) be the second derivative of 1/6*i**6 + 3/4*i**5 + 0*i**3 + 7 + 9*i + 0*i**2 + 5/6*i**4. Factor d(y).
5*y**2*(y + 1)*(y + 2)
Let r = -90805 - -272423/3. Suppose 1/3*n**3 + r*n**2 + 0*n + 0 = 0. Calculate n.
-8, 0
Let h(j) be the third derivative of -j**8/504 + 22*j**7/35 - 131*j**6/60 + 98*j**5/45 - 22*j**2 - j + 7. Factor h(r).
-2*r**2*(r - 196)*(r - 1)**2/3
Let x(k) = -k**3 - 17*k**2 + 60*k + 3. Let p be (4472/(-2795))/(0 + 4/50). Let n be x(p). Find m, given that 1/6*m + 0*m**2 - 1/2*m**n + 0 - 1/3*m**4 = 0.
-1, 0, 1/2
Suppose -2*r + 4*h - 36 = 0, -55*r = -53*r - 2*h + 16. What is m in -68/9*m - 28/9*m**r - 40/9 = 0?
-10/7, -1
Suppose 0 = -x - 14 + 5 + 11. Let k(m) be the second derivative of -6/7*m**x - 30*m - 1/21*m**4 - 8/21*m**3 + 0. Let k(s) = 0. What is s?
-3, -1
Solve -1389/7*l**4 + 1449073/7*l**2 + 207408*l + 484416/7 + 480243/7*l**3 + 1/7*l**5 = 0.
-1, 696
Let q = -104204662 + 389517035905/3738. Let a = q + -2/1869. Factor 1 + 2*l**2 - 1/2*l**3 - a*l.
-(l - 2)*(l - 1)**2/2
Suppose 37*y + 110 = 47*y. Let x be 59/236 + y/4. What is w in -2/7*w**2 + 2/7*w**x + 0 + 0*w = 0?
0, 1
Let k(z) be the first derivative of 2*z**5/15 - 3*z**4 + 64*z**3/3 - 142*z**2/3 + 42*z + 2095. Factor k(s).
2*(s - 9)*(s - 7)*(s - 1)**2/3
Let i(w) be the second derivative of w**5/110 - 569*w**4/66 + 568*w**3/33 + 4*w + 160. Suppose i(g) = 0. What is g?
0, 1, 568
Let c be (-10 - (-4 + -5))/((-2)/(-10)). Let w be (-238)/(-1008) - ((-10)/16)/c. Factor 1/3 - 2/9*l - w*l**2.
-(l - 1)*(l + 3)/9
Let j(w) = -16*w**2 - 1544*w - 764. Let n be j(-96). What is c in 2*c**2 + 0*c + 1/2*c**5 + n*c**3 + 0 + 5/2*c**4 = 0?
-2, -1, 0
Suppose -p - 4*i = 15, -7 = -5*p + 2*i + 28. Factor -8 + 0*h**3 + 26 - 35*h**3 + 90*h**2 - 100*h + 22 + p*h**4.
5*(h - 2)**3*(h - 1)
Suppose -4*s + y + 16 = 0, -2*y + 5 + 2 = 5*s. Suppose -s*l + 7*l = 12. Factor -3*k**3 + k**l + 0*k**2 + 0*k**3 + 8*k**2.
-2*k**2*(k - 4)
Let m = 88523 - 1062275/12. Suppose m*h**2 - 2/3 - 7/12*h = 0. What is h?
-1, 8
Suppose -21*i + 13*i + 96 = 0. Let q be (2*6/9)/(22/i). Factor 0 + 18/11*j**5 + 0*j + q*j**3 + 0*j**2 + 24/11*j**4.
2*j**3*(3*j + 2)**2/11
Let c(s) be the third derivative of s**7/525 + 67*s**6/300 + 32*s**5/75 - 11*s**4/5 - 4*s**2 + 14*s - 3. Factor c(g).
2*g*(g - 1)*(g + 2)*(g + 66)/5
Let o(i) be the first derivative of -5/2*i + 3/8*i**2 - 318 + 1/12*i**3. Solve o(w) = 0.
-5, 2
Suppose -5*t = -3*o + 410, 2*t - 102 - 31 = -o. Factor -3*c**4 + 6*c**4 + o*c**3 - 141*c**3.
3*c**3*(c - 2)
Suppose -3*p - 63 = -6*s, 5*s + 4*p = -664 + 645. Factor 25/6*n**2 + 0 + s*n + 5/6*n**3.
5*n*(n + 2)*(n + 3)/6
Let y(w) be the second derivative of w - 1/15*w**3 - 13 + 1/30*w**4 - 6/5*w**2. Factor y(a).
2*(a - 3)*(a + 2)/5
Let n = 7508 - 7508. Let z(q) be the second derivative of 5*q - 1/6*q**3 + 0*q**2 + 1/30*q**6 + n - 3/20*q**5 + 1/4*q**4. Let z(a) = 0. Calculate a.
0, 1
Solve 3/7*f**2 + 14985675/7 + 13410/7*f = 0 for f.
-2235
Let q(h) = 7*h**4 + 190*h**3 - 91*h**2 - 38*h + 4. Let b(z) = -19*z**3 + z**2 + z - 1. Let y(g) = 12*b(g) + 3*q(g). Find j such that y(j) = 0.
-17, -2/7, 0, 1
Let y(g) be the third derivative of g**5/30 + 623*g**4/6 + 415*g**3 + 6*g**2 + 72. Factor y(n).
2*(n + 1)*(n + 1245)
Let z(i) be the first derivative of i**6/48 + 11*i**5/40 + 37*i**4/32 + 15*i**3/8 + 9*i**2/8 + 287. Factor z(v).
v*(v + 1)**2*(v + 3)*(v + 6)/8
Let h = 6 + 0. Suppose 0 = 3*x - 5*s - 28, -2*x - 2*s + 52 = 60. Let x + 5*d**3 - 78*d - h + 5*d**2 + 73*d = 0. Calculate d.
-1, 1
Let y(q) = -q**3 - 2*q**2 + 138*q + 59. Let a be y(11). Let z be (3*32/90)/((-6)/(-10)). Factor -10/9*k**3 + 0 + z*k**2 - 8/9*k + 2/9*k**a.
2*k*(k - 2)**2*(k - 1)/9
Suppose 254*w - 245*w - 18 = 0. Suppose p = -w*p