450/13*o**2 + 920/13*o - 8/13 = 0. Calculate o.
2/115
Let z(l) = -70*l**2 - 157470*l - 88435770. Let s(u) = -5*u**2 - 11248*u - 6316840. Let f(m) = -55*s(m) + 4*z(m). Factor f(q).
-5*(q + 1124)**2
Let j(g) be the first derivative of 3*g**5/5 - 12*g**4 - 97*g**3 - 246*g**2 - 252*g - 20. Factor j(r).
3*(r - 21)*(r + 1)*(r + 2)**2
Suppose -2 + 7 = 5*u + 2*x, 34 = 3*u - 5*x. Let y be (-25 + -7)*(-4)/8 + -14. Suppose -39/2*r + 27*r**y - 30*r**4 + 27/2*r**5 + 3 + 6*r**u = 0. Calculate r.
-1, 2/9, 1
Let j(q) be the first derivative of q**6/1260 - q**5/84 - 32*q**3/3 + 2*q - 9. Let m(l) be the third derivative of j(l). Solve m(v) = 0.
0, 5
Solve 20/17*c + 0*c**3 - 48/17 + 30/17*c**2 - 2/17*c**4 = 0.
-3, -2, 1, 4
Let c = 520 + -493. Factor 11*t**5 - c*t**3 - 8*t**5 - 21*t**2 + 24*t + 12*t**4 + 4*t**4 + 5*t**4.
3*t*(t - 1)**2*(t + 1)*(t + 8)
Let o(j) be the third derivative of 50653*j**6/40 - 28749*j**5/20 + 5439*j**4/8 - 343*j**3/2 + 1435*j**2. Factor o(r).
3*(37*r - 7)**3
Let z(q) be the third derivative of q**7/105 + 31*q**6/30 + 118*q**5/15 + 58*q**4/3 + 538*q**2. Factor z(t).
2*t*(t + 2)**2*(t + 58)
Let y = -7138 - -7144. Let h(m) be the second derivative of -1/135*m**y + 8/9*m**3 - m**2 - 11/27*m**4 + 4/45*m**5 - 18*m + 0. What is d in h(d) = 0?
1, 3
Suppose 676/7*f + 25/7*f**5 + 156/7*f**2 + 0 - 30/7*f**4 - 251/7*f**3 = 0. Calculate f.
-2, 0, 13/5
Let s(t) be the first derivative of -8*t**3 + 168 - 33/4*t + 15/8*t**4 + 1/20*t**5 + 49/4*t**2. Suppose s(f) = 0. What is f?
-33, 1
Let u(w) = -w**3 - 12*w**2 - 4*w - 10. Let a be u(-12). Let m = 54 - a. Find f such that 8*f - m*f + 4 + 0 + f**2 + 3*f**2 = 0.
1
Let u(i) be the third derivative of -i**10/30240 + i**9/2016 - i**8/448 + i**7/252 + i**5/2 + 8*i**2. Let v(x) be the third derivative of u(x). Factor v(r).
-5*r*(r - 4)*(r - 1)**2
Let w(b) be the third derivative of -b**7/42 + 7*b**6/24 + 7*b**5/12 - 215*b**4/24 - 35*b**3 - 136*b**2 - 18. Let w(o) = 0. Calculate o.
-2, -1, 3, 7
Let b be (-11275)/(-875) + 9/(-15). Find a, given that -22/7 - 8/7*a**3 - 80/7*a**2 + b*a = 0.
-11, 1/2
Let j(a) = -92*a**2 + 30 - 21 - 204*a - 73 + 28*a**3 - 36. Let z(y) = -18*y**3 + 61*y**2 + 136*y + 67. Let f(o) = -5*j(o) - 8*z(o). Let f(s) = 0. Calculate s.
-1, 9
Let j be 45/(-1 + (660/297 - (-4)/(-18))). Let n(u) be the third derivative of 0 + 0*u**3 - 1/300*u**5 + 0*u - j*u**2 + 1/40*u**4. Factor n(o).
-o*(o - 3)/5
Suppose -39/4*g + 3/4*g**2 + 30 = 0. What is g?
5, 8
Solve -77760*a + 90*a**3 + 41833 - 241*a**3 - 6*a**4 + 9872 - 278*a**3 - 10152*a**2 - 10233 = 0 for a.
-24, 1/2
Let s be 805/(-322) - ((-93)/(-30))/(-1). Solve 192/5*t + s*t**3 + 0 + 48/5*t**2 = 0.
-8, 0
What is n in -19/3*n**2 + 7/3*n + 1/3*n**4 + 6 - 7/3*n**3 = 0?
-2, -1, 1, 9
Suppose -2*o = -917 + 875. Suppose -6*s = -o*s + 5*s. Solve s*q**2 - 1/9*q**3 - 2/9 + 1/3*q = 0 for q.
-2, 1
Suppose 214576*r = 214635*r. Suppose 4*q**3 + 3*q + r + 1/2*q**4 + 13/2*q**2 = 0. Calculate q.
-6, -1, 0
Let p = -9 - -15. Suppose 6*o = -4*r + 2*o + 12, -3*o - p = 0. What is s in -25/2 - 1/2*s**2 + r*s = 0?
5
Find d such that d**2 - 100 + 1/2*d**3 - 55/2*d = 0.
-5, 8
Let n(i) = -53*i + 3292. Let x be n(62). Let a(b) be the third derivative of 1/3*b**4 - 1/15*b**x + 8*b**2 - b**3 + 0*b + 1/10*b**5 + 0. Factor a(t).
-2*(t - 1)*(t + 1)*(4*t - 3)
Let d(q) = -4*q**2 - 4*q + 4. Let n(i) = -21*i**2 - 22*i + 21. Let f be (-49)/(-14)*(-88)/(-14). Let a(p) = f*d(p) - 4*n(p). Factor a(j).
-4*(j - 1)*(j + 1)
Suppose 14*p - 2*p - 24 = 0. Let x be p/22 + 2*90/924. Factor 0 + 6/7*k + x*k**2.
2*k*(k + 3)/7
Let d be (-6)/4*(-24)/18. Let j be -11 - -11 - (-9)/3. Factor -294 - h**2 - j*h**d - 48 + 64*h + 86.
-4*(h - 8)**2
Let x(v) = v**3 - 7*v**2 - 10*v. Let g(y) = -2*y. Suppose -10*l + 12*l = 6. Let j(n) = l*x(n) - 3*g(n). Suppose j(t) = 0. Calculate t.
-1, 0, 8
Suppose -4*k + 13 - 3 = 5*n, 8 = 4*n + 5*k. Let l(w) be the second derivative of 2/25*w**5 + 0*w**n - 1/75*w**6 + 0 - 1/10*w**4 - 6*w + 0*w**3. Factor l(x).
-2*x**2*(x - 3)*(x - 1)/5
Suppose 46*p - 22 = 48*p. Let t = p - -7. Let k(l) = -l**2 + 11*l. Let g(m) = -m**2 + 5*m. Let s(x) = t*k(x) + 7*g(x). Factor s(v).
-3*v*(v + 3)
Let d be 2379/208*12/9 + (-5)/4. Factor f**3 + d*f + 21/2*f**2 + 9/2.
(f + 1)*(f + 9)*(2*f + 1)/2
Let p(q) = 2*q**2 + 24*q - 44. Let f be p(-18). Let -493*c**2 + f*c + 1024*c**2 + 48 - 517*c**2 = 0. Calculate c.
-12, -2/7
Let i(a) = -a**2 - 10*a + 37. Let y(f) be the first derivative of -3*f**3 - 39*f**2 + 298*f + 42. Let o(l) = -51*i(l) + 6*y(l). What is b in o(b) = 0?
3, 11
Let g(v) be the first derivative of -25 - 5/96*v**4 - 1/6*v**3 - 1/160*v**5 - 1/4*v**2 + 19*v. Let z(f) be the first derivative of g(f). Factor z(c).
-(c + 1)*(c + 2)**2/8
Suppose 20 = 4*a - 3*h, 32 = -0*a + 5*a - 2*h. Suppose -5 + 0 = -5*u, -5*r + 2*u = -a. Factor r*c**2 - 186*c + 242 + 397*c - 167*c.
2*(c + 11)**2
Let u(r) be the third derivative of 1/1155*r**7 + 0*r**4 + 0*r + 1/11*r**5 + 0*r**3 + 17/660*r**6 + 0 + 251*r**2. Find b such that u(b) = 0.
-15, -2, 0
Let a(v) be the first derivative of v**6/27 + 4*v**5/45 - 16*v**4/9 - 64*v**3/9 - 604. Factor a(o).
2*o**2*(o - 6)*(o + 4)**2/9
Let q be 2/(4/(-6)) + -106 + 111. Find f, given that -1/9*f**3 + 0*f + 0 + 0*f**q - 1/9*f**5 + 2/9*f**4 = 0.
0, 1
Let n(m) be the second derivative of m**7/210 + 3*m**6/50 + 9*m**5/100 - 49*m**4/60 + m**3 - 6311*m. What is i in n(i) = 0?
-6, -5, 0, 1
Let c = 1255386 - 11298326/9. Determine i so that -1/9*i**2 - 5476/9 - c*i = 0.
-74
Let n be (21 - 23)*(-1)/60. Let a(g) be the third derivative of -44*g**2 + 0*g - n*g**5 + 0 - 1/3*g**3 - 1/6*g**4. Find z, given that a(z) = 0.
-1
Suppose -73*o - 13*o + 344 = 0. Let t(k) be the third derivative of 0*k - 1/8*k**o - 5*k**2 + 3*k**3 + 0 - 1/20*k**5. Factor t(s).
-3*(s - 2)*(s + 3)
Let t = -1395832/11 + 126902. Let 90/11*u**5 + 24/11*u**2 - 180/11*u**3 - 12/11*u**4 - 12/11 + t*u = 0. What is u?
-1, 2/15, 1
Let r(a) = 156*a - 936. Let s be r(6). Suppose -51/8*o + 3/8*o**2 + s = 0. What is o?
0, 17
Let s(c) be the third derivative of c**6/90 + 2*c**5/5 + 10*c**4/3 + 31*c**3/6 + 5*c**2 + 1. Let k(x) be the first derivative of s(x). Factor k(o).
4*(o + 2)*(o + 10)
Let z(k) be the first derivative of 7/2*k**2 + 61 + 1/10*k**5 - 9/2*k**3 + 3/2*k**4 + 0*k. Factor z(m).
m*(m - 1)**2*(m + 14)/2
Let s = 732 + -734. Let j be 387/135 - s/6. Let 2/5*k**2 + j*k + 14/5 = 0. Calculate k.
-7, -1
Let g(h) be the second derivative of -5*h**4/12 - 115*h**3/3 - 473*h - 1. Factor g(i).
-5*i*(i + 46)
Let p(s) be the second derivative of s**5/5 + 67*s**4/3 + 262*s**3/3 + 130*s**2 + 451*s - 8. Find m such that p(m) = 0.
-65, -1
Factor -10*y**2 + y**3 - 5*y + 10*y**4 + 5130*y**5 - 5125*y**5 - y**3.
5*y*(y - 1)*(y + 1)**3
Let t(z) be the second derivative of z**6/270 - 241*z**5/180 + 479*z**4/108 - 239*z**3/54 + 635*z + 6. Suppose t(p) = 0. What is p?
0, 1, 239
Let u(l) be the first derivative of 5*l**4/4 - 40*l**3/3 - 95*l**2/2 - 50*l + 957. Let u(t) = 0. Calculate t.
-1, 10
Let c(l) = 2*l**5 - 20*l**4 - 19*l**3 - 3*l + 3. Let p(i) = -2*i**5 + 22*i**4 + 20*i**3 + 4*i - 4. Let v(q) = 4*c(q) + 3*p(q). Let v(u) = 0. Calculate u.
-1, 0, 8
Suppose 0 = -2*c - 5*q + 20, 3*c + 2*c - 80 = -5*q. Let m = c - 16. Let -z**m + 3*z**2 - 2*z - 520*z**3 + 520*z**3 = 0. What is z?
-2, 0, 1
Factor 57/2*w**2 - 114 + 1/2*w**3 - 2*w.
(w - 2)*(w + 2)*(w + 57)/2
Let f(r) be the third derivative of -r**8/2352 + 41*r**7/1470 - 19*r**6/40 - 21*r**5/20 - 1427*r**2. Find w, given that f(w) = 0.
-1, 0, 21
Solve 0 - 9/8*z**3 + 1/8*z**5 + z - 7/8*z**2 + 7/8*z**4 = 0 for z.
-8, -1, 0, 1
Let b = 382337/59680 - 77/11936. Suppose 1/5*o**2 - b - 31/5*o = 0. Calculate o.
-1, 32
Let z(p) be the second derivative of -p**7/14 + 17*p**6/30 - 19*p**5/20 - 17*p**4/12 + 11*p**3/3 + 3*p - 679. Solve z(a) = 0 for a.
-1, 0, 1, 2, 11/3
Let i(h) = -9192*h - 91918. Let x be i(-10). Factor 3/7*y**x + 18/7*y - 81/7.
3*(y - 3)*(y + 9)/7
Let d(r) = -6*r - 20. Let f be d(4). Let c be (0 + 120/f)*12/(-15). Let -c*x + 6/11*x**3 - 6/11*x**4 - 48/11 + 36/11*x**2 = 0. Calculate x.
-2, -1, 2
Let s(p) be the third derivative of -p**7/840 + 79*p**6/480 - 77*p**5/80 + 229*p**4/96 - 19*p**3/6 + 940*p**2. Factor s(c).
-(c - 76)*(c - 1)**3/4
Let l be 11 + -13 - (-3 - 3). Let -8 - 2*s + 0*s + 23