t c = -135904703/8 - -17036715. Factor -1/8*o**3 - c - 219/8*o**2 - 15987/8*o.
-(o + 73)**3/8
Let f be 4440/408 + -8 + (-4)/(-34). Factor 2/15 + 2/15*r**f + 2/5*r**2 + 2/5*r.
2*(r + 1)**3/15
Let b be (63/(-52))/((-2)/(-5 + -3)). Let v = 545/91 + b. Determine d, given that -4/7*d + v - 4/7*d**2 = 0.
-2, 1
Let a be (((-3)/6)/1)/(18/(-180)). Let l(b) = b**2 - 8*b - 7. Let k be l(9). Factor -u + 2*u**k + u + 8 + a*u + 3*u.
2*(u + 2)**2
Let n(v) be the third derivative of -v**8/6720 + 11*v**7/840 - 121*v**6/240 - 17*v**5/30 + 42*v**2. Let s(h) be the third derivative of n(h). Factor s(g).
-3*(g - 11)**2
Let b = 262 + -256. Let d be -106 + 106 - (-1)/b. Factor -1/2 + d*j**3 + 7/6*j - 5/6*j**2.
(j - 3)*(j - 1)**2/6
Let u be (5/12*192/320)/((-1)/(-2)). Let s(h) be the first derivative of 6 - u*h**3 - 9/4*h**2 + 0*h. Let s(f) = 0. Calculate f.
-3, 0
Let c(j) be the first derivative of -j**6/2 - 4*j**5 + 65*j**4/12 + 5*j**3 + 94*j - 126. Let l(a) be the first derivative of c(a). Find i, given that l(i) = 0.
-6, -1/3, 0, 1
Let q(b) = -b**2 - 34*b + 72. Let d be q(26). Let n = d + 1491. Solve -6/5*o**4 + 2*o**n - 4/5 + 2*o**2 - 6/5*o - 4/5*o**5 = 0.
-2, -1, -1/2, 1
Suppose 70*k - 6185 = 2845. Let n be (-59)/(-105) - k/301. Solve 4/3*i**2 + 64/15 - n*i**3 - 64/15*i = 0 for i.
2, 4
Let n(f) = f**2 + 9*f - 48. Let w be n(-13). Let -w*o**3 + 3*o**2 - 12 - 5*o**2 - 4*o + 11*o - 2*o**2 + 13*o = 0. Calculate o.
-3, 1
Let o = 229921/30 + -7664. Let g(r) be the first derivative of 1/15*r**3 - o*r**6 + 29 - 1/25*r**5 + 1/20*r**4 + 0*r + 0*r**2. Solve g(y) = 0 for y.
-1, 0, 1
Let x be 36*(-71)/(-4473)*4/2. Factor 10/7*y**2 + x + 24/7*y.
2*(y + 2)*(5*y + 2)/7
Suppose -2*n - 92 = -4*q, 2*q - 18 = 3*n + 24. Factor q*u**2 + 265 + 282 - 36*u + 4*u**3 - 603.
4*(u - 2)*(u + 1)*(u + 7)
Let x be ((7 - 0)*29/(-957))/((-350)/300). Factor -6728/11 + 232/11*a - x*a**2.
-2*(a - 58)**2/11
Let k(y) be the first derivative of 2*y**3 + 80*y**2 + 104*y + 33. Factor k(d).
2*(d + 26)*(3*d + 2)
Suppose 0 = 4*h - 6*h - 36. Let w = h - -21. Factor 81*q**w - 12*q**4 + 19*q**2 + 29*q**2 + 27*q**4 + 12*q - 30*q**3.
3*q*(q + 1)*(q + 2)*(5*q + 2)
Suppose 0 = 3*y - 47 + 14. Let k be 14 - 11 - (-7)/((-28)/y). Let 3/4 + k*s**3 + 5/4*s**2 + 7/4*s = 0. Calculate s.
-3, -1
Find h, given that 31963*h - 2*h**4 - 84 + 31848*h - 63729*h + 86*h**2 - 82*h**3 = 0.
-42, -1, 1
Let n(b) be the first derivative of b**4 + 106*b**3/3 - 284*b**2 - 310*b + 13049. Factor n(i).
2*(i - 5)*(i + 31)*(2*i + 1)
Let o be 2 + 54/12 - (-1)/2. Let r be o - 14*(-5)/(-10). Solve r*x + 0 + 2/7*x**2 = 0 for x.
0
Let h be (-1)/(((-27)/(-6))/(-9)). Let x be -1*1/h*-6. Solve -14*n**2 + 7*n**x - 3*n**3 + 80*n - 18*n**2 - 38 - 26 = 0 for n.
2, 4
Find u such that -15*u**3 - 14*u**4 + 0 + 29/2*u + 1/2*u**5 + 14*u**2 = 0.
-1, 0, 1, 29
Factor 30/7 + 9/7*z - 48/7*z**2 + 9/7*z**3.
3*(z - 5)*(z - 1)*(3*z + 2)/7
Let v(g) = -65*g**2 - 205*g - 35. Let r(b) = 11*b**2 + 34*b + 6. Suppose -2*q - 173 = -103. Let k(p) = q*r(p) - 6*v(p). Factor k(i).
5*i*(i + 8)
Let u be (685/60 - 11)*608/285. Suppose 10/3*k**2 - 2/3*k**4 - 2/9*k**5 + 10/9*k**3 - u*k - 8/3 = 0. Calculate k.
-3, -2, -1, 1, 2
Let k be 32/(-9)*(-80310)/42832. Determine j so that 0*j + k*j**3 + 56/3*j**2 - 4/3*j**4 + 0 = 0.
-2, 0, 7
Let a(g) be the second derivative of -g**5/3 - 7*g**4/2 + 40*g**3/3 - 7*g**2 + 42*g. Let j(x) be the first derivative of a(x). Factor j(r).
-4*(r + 5)*(5*r - 4)
Let z be (108/(-18))/(6/(-4)). Let u be (1 - (-1)/1)*1. Factor 3 + 1 - 6*b + 4*b - z*b**u - 4*b.
-2*(b + 2)*(2*b - 1)
Suppose -18480*j - 144*j**4 - 4*j**5 - 631*j**3 - 11284*j**2 - 14112 + 4438*j**2 - 1850*j**2 - 1133*j**3 = 0. Calculate j.
-14, -3, -2
Suppose -4*d - 16 = 0, -d = 4*f - 0*d - 128. What is c in -11*c**3 - 3*c**5 + 3*c**4 + 18 - 31*c**4 - 19*c**3 + 10*c**4 + f*c = 0?
-3, -2, -1, 1
Let h(c) = -2*c**2 + 584*c - 546. Let j(n) = -5*n**2 + 1752*n - 1648. Let z(g) = -11*h(g) + 4*j(g). Determine m so that z(m) = 0.
-293, 1
Let g(i) = 230*i - 123. Let c be g(5). Let r = -1023 + c. Factor -4/7*o**3 + 2/7*o**5 + 2/7*o + 2/7 + 2/7*o**r - 4/7*o**2.
2*(o - 1)**2*(o + 1)**3/7
Let x be ((-2)/(-3))/((-2)/(-6)). Let g be 10/((32/(-48))/(8/(-30))). Factor -26*y**x - 2*y**3 + 3*y**4 + 2*y**g - 4*y + 16*y**2 - y**4.
2*y*(y - 2)*(y + 1)*(2*y + 1)
Let f be (-121)/6 - (-28)/168. Let o(y) = 2*y**2 - 58*y + 308. Let d(n) = -n + 2. Let h(s) = f*d(s) + 2*o(s). Factor h(l).
4*(l - 12)**2
Let v(x) be the third derivative of 1/60*x**5 + 47*x**2 + 0*x**3 - 1/12*x**4 + 1/40*x**6 + 0 - 1/210*x**7 - 1/336*x**8 + 2*x. Suppose v(k) = 0. What is k?
-2, -1, 0, 1
Let a(q) be the third derivative of -q**5/20 - 49*q**4/4 - 96*q**3 + 8*q**2 - 106*q - 3. What is y in a(y) = 0?
-96, -2
Let b be 6216/144 + (-2)/12. Let x be b/21*(-36 + 42) + -6. Solve 8/7 - 52/7*n**2 + x*n = 0.
-2/13, 1
Let z(l) be the third derivative of 1/1995*l**7 + 0*l**3 + 0 - 2*l - l**2 - 1/190*l**5 + 1/114*l**4 + 0*l**6. Solve z(w) = 0 for w.
-2, 0, 1
Let c(w) be the second derivative of -w**10/10080 - w**9/5040 - 13*w**4/12 - 2*w - 3. Let a(j) be the third derivative of c(j). Suppose a(z) = 0. What is z?
-1, 0
Let i(s) be the first derivative of 2*s**3 + 0*s + 23/2*s**2 + 2/3*s**4 - 5 + 1/15*s**5. Let q(n) be the second derivative of i(n). Factor q(y).
4*(y + 1)*(y + 3)
Let w(f) be the third derivative of 275/16*f**4 - 21/8*f**5 + 17/80*f**6 + 1 + 68*f**2 - 125/2*f**3 - 1/140*f**7 + 0*f. Factor w(z).
-3*(z - 5)**3*(z - 2)/2
Let s(c) be the third derivative of c**5/150 - 19*c**4/60 - 81*c**2 + 14*c. Determine x, given that s(x) = 0.
0, 19
Factor -12168/17 + 9048/17*p + 116/17*p**3 - 1994/17*p**2 - 2/17*p**4.
-2*(p - 26)**2*(p - 3)**2/17
Let p(b) = -3*b**2 + 203*b + 652. Let c(l) = -l**2 - 6*l - 1. Let z(q) = -2*c(q) + p(q). Factor z(t).
-(t - 218)*(t + 3)
Let q(s) be the third derivative of -2*s**7/945 + 29*s**6/135 - 113*s**5/135 + 28*s**4/27 - s**2 + 658*s. Solve q(d) = 0 for d.
0, 1, 56
Suppose 3*d = 2*z + 293, -5*d + 11*z - 7*z = -489. Let k = -93 + d. Solve -22*b**2 - 20*b**3 - 2*b**2 + 32 + 5*b**k - 9*b**4 + 16*b = 0 for b.
-2, 1
Let m(i) = -94*i**3 - 73*i**2 - 31*i**3 + 189 - 363*i**2 + 339*i. Let y(u) = -25*u**3 - 87*u**2 + 68*u + 38. Let o(f) = -2*m(f) + 11*y(f). Factor o(s).
-5*(s - 1)*(s + 4)*(5*s + 2)
Let a be (-361)/(-722)*(1 + 7). Factor -n**2 + 48 - 7/2*n**3 - 1/2*n**a + 32*n.
-(n - 3)*(n + 2)*(n + 4)**2/2
Let n be 550/88*4 + -25. Let k = 2/37 - -130/333. Solve 4/9*h - k*h**2 + n = 0.
0, 1
Let j(x) = -2*x**2 - 67*x - 93. Let w be j(-32). Suppose 5*b - 1 = 9. Factor 101*u**w - 10*u**b - 106*u**3 + 2 + 5*u + 8.
-5*(u - 1)*(u + 1)*(u + 2)
Let i(w) be the third derivative of w**5/110 + 1093*w**4/44 + 1092*w**3/11 + 2*w**2 - 32*w - 6. Factor i(k).
6*(k + 1)*(k + 1092)/11
Let t = 173/434 + -7/62. Factor 0*r**3 - 1/7*r**4 + 3/7*r**2 + t*r + 0.
-r*(r - 2)*(r + 1)**2/7
Let b(x) be the second derivative of 13*x**4/8 - 51*x**3/4 + 27*x**2 + 3*x + 486. Factor b(n).
3*(n - 3)*(13*n - 12)/2
Suppose -4*i = -12, -4*i - 52 = -7*p + 3*p. Suppose -2*a = -22 + p. Determine d, given that -2*d**2 + 2*d - a*d**2 + 4*d**2 + 0*d = 0.
0, 2
Let v(z) = 382*z - 4966. Let p be v(13). Factor p - 1/7*g**3 + 0*g + 5/7*g**2.
-g**2*(g - 5)/7
Let c(o) be the second derivative of -o**5/30 + 2*o**4/9 + 5*o**3/9 - 160*o + 3. Factor c(w).
-2*w*(w - 5)*(w + 1)/3
Let q(f) be the third derivative of 0 + 56*f**2 + 5/4*f**5 + 0*f + 5*f**3 + 1/70*f**7 - 27/8*f**4 - 9/40*f**6. Factor q(u).
3*(u - 5)*(u - 2)*(u - 1)**2
Let k = -517 - -520. Suppose l - 11981 = -5*d - 2*l, 0 = -2*d - 2*l + 4794. Find x such that 2380*x**2 - 12 - d*x**2 + 35*x**3 + 25*x**k - 60*x + 27*x**4 = 0.
-2, -1, -2/9, 1
Suppose 31*m - 32*m - 125 = -26*m. Let t(c) be the third derivative of 0*c - 1/210*c**m + 1/42*c**4 + 0 - 1/420*c**6 + 0*c**3 - 16*c**2. Factor t(h).
-2*h*(h - 1)*(h + 2)/7
Let t(m) be the second derivative of -m**4/96 + 13*m**3/24 - 15*m**2/2 + 3*m + 13. Factor t(b).
-(b - 20)*(b - 6)/8
Let y(m) be the first derivative of -m**4/4 - 11*m**3/6 + 2*m**2 - 23*m - 32. Let z(t) be the first derivative of y(t). Solve z(n) = 0.
-4, 1/3
Suppose -11 - 10 = -7*l. Find t such that -33*t**3 - 45*t**3 - 3*t**4 + 81*t**l + 24*t + 30*t**2 = 0.
-2, -1, 0, 4
Let i(j) = -j**3 - 3*j**2 + 2*j. Let x(o) = 26*o**3 - 31*o