107*s**3 - 10*s**2 - 78904*s**3.
-s**2*(s + 17)*(15*s - 2)
Let s(j) be the first derivative of -9/2*j - 1/12*j**3 + 9/8*j**2 - 213. Let s(b) = 0. Calculate b.
3, 6
Determine p, given that 6*p - 17*p**2 - 9802 + 3*p + 9823 - 19*p + 6*p**3 = 0.
-7/6, 1, 3
Suppose -53/2*n**3 - 26*n**2 - 1/2*n**4 + 0*n + 0 = 0. Calculate n.
-52, -1, 0
Let k be (-25)/(-5) + 10 - 2660/285. Solve 0 + 11/3*b**5 + 35/3*b**4 + 2/3*b + 13*b**3 + k*b**2 = 0.
-1, -2/11, 0
Let p(j) be the first derivative of -j**7/30 + 5*j**6/8 - 4*j**5/5 - 5*j**4/6 + 12*j**2 + 3*j - 113. Let m(a) be the second derivative of p(a). Factor m(d).
-d*(d - 10)*(d - 1)*(7*d + 2)
Solve 97*u - 41/4*u**2 - 49 - 37*u**3 - 3/4*u**4 = 0.
-49, -2, 2/3, 1
Let h(z) be the second derivative of -10*z**7/21 + 17*z**6/6 + 20*z**5 - 25*z**4/12 - 290*z**3/3 + 70*z**2 - 5127*z. Let h(p) = 0. What is p?
-2, 1/4, 1, 7
Let l(y) = -16*y - 45. Let c be l(-37). Solve 62 + 103 - 164*h**2 - c*h**3 + 5*h + 72*h**2 - 73*h**2 + 542*h**3 = 0.
-33, -1, 1
Suppose -r + 23 = 3*w, w + 22 = -3*r + 67. Let l(c) = -2*c + 31. Let z be l(r). Factor -314*a - 15 + 7*a**4 + 294*a + 10*a**2 - 2*a**4 + 20*a**z.
5*(a - 1)*(a + 1)**2*(a + 3)
Let h = -787 - -789. Factor -128 + 13*s - 2*s**3 - 12*s + 8*s**h + 31*s.
-2*(s - 4)**2*(s + 4)
Let v(s) be the second derivative of -s**5/100 - s**4/10 + 6*s**3/5 - 4*s**2 - 4*s + 235. Let v(g) = 0. What is g?
-10, 2
Suppose 168 = -11*z + 201. Factor -z - 77 + 16*k**3 - 17*k**3 - 60*k - 120 + 18*k**2.
-(k - 10)**2*(k + 2)
Let q be 5922/63450*6/7 + (-124)/(-75). Find n, given that -2/15*n**4 - 8/5 + q*n**2 - 22/15*n**3 + 22/15*n = 0.
-12, -1, 1
Find r such that 153*r + 412*r - 106*r**3 - r**4 - 2805*r**2 + 11236 - 141*r = 0.
-53, -2, 2
Suppose 0 = -9*d + 7209 + 5814. Determine f so that -3*f**2 - 1296 + d*f - 1303*f - f**2 = 0.
18
Let m(f) be the first derivative of -3*f**5/5 + 15*f**4/4 + 7*f**3 - 123*f**2/2 + 90*f - 1200. Suppose m(l) = 0. Calculate l.
-3, 1, 2, 5
Let x(n) = -n**2 + 3*n - 2. Let o(w) = 14*w - 57. Let z be o(4). Let p(k) = -23*k**3 + 138*k**2 - 213*k + 14. Let j(l) = z*p(l) + 2*x(l). Factor j(r).
(r - 3)**2*(23*r - 2)
Let s = 75 + -73. Let a be -1 - (1034/(-660) + 1/15). Factor -1/2 - a*d**s - d.
-(d + 1)**2/2
Let k be (-20)/((8/(-1))/4). Factor -k*r**2 + 7*r**2 - 16*r - 3*r + r + 12*r**3 - 3*r**4.
-3*r*(r - 3)*(r - 2)*(r + 1)
Suppose 749*c - 18*c - 1253 - 940 = 0. Factor 116/11*j**c + 2/11*j**5 + 26/11 + 164/11*j**2 + 106/11*j + 34/11*j**4.
2*(j + 1)**4*(j + 13)/11
Let h be (-12 - (882/12)/(-7))*(-56)/63. Factor 2/3 + 2/3*v**4 - 4/3*v**2 - h*v**3 + 2/3*v**5 + 2/3*v.
2*(v - 1)**2*(v + 1)**3/3
Let j(o) = -o**2 - 13986*o - 83876. Let d be j(-6). What is r in -4/9*r**d + 0 + 0*r + 16/9*r**2 + 8/9*r**3 - 2/9*r**5 = 0?
-2, 0, 2
Let d(v) be the third derivative of 10*v**7/21 - 49*v**6 + 388*v**5/5 - 116*v**4/3 + v**2 + 637*v. Find f, given that d(f) = 0.
0, 2/5, 58
Let o be 75/30*3*(-11)/(-660)*1578. Suppose 75*y - 9 - o*y**2 - 147/4*y**4 + 168*y**3 = 0. What is y?
2/7, 1, 3
Let l(h) = h**3 - 2*h**2 - 1. Let c be (10*(-8)/(-20))/(-2). Let s(n) = -10*n**3 - 23*n**2 + 675*n - 3364. Let w(b) = c*s(b) - 22*l(b). Solve w(g) = 0.
15
Suppose 42*q - 6995691 = -6995061. Determine j, given that q*j + 63/2*j**2 + 9*j**3 - 225/4 + 3/4*j**4 = 0.
-5, -3, 1
Let l(q) be the third derivative of q**6/30 + 6*q**5/5 + 4*q**4 - 256*q**3/3 - 10*q**2 - 2*q + 51. Factor l(n).
4*(n - 2)*(n + 4)*(n + 16)
Suppose -77*n - 5 = -78*n. Suppose 5 = 7*c - 9. Factor -60 - n*i**3 + 60 + 10*i**c.
-5*i**2*(i - 2)
Suppose -6*r + 18 = -6. Suppose -90*u - 9 = -93*u. Factor 4*d**4 + 4*d**2 + 6*d**3 + d**r - u*d**4.
2*d**2*(d + 1)*(d + 2)
Let h be (11 - 21) + (-1 - 1). Let r be ((-56)/49)/(h/14 + 0). Suppose -8/9*n**2 - r*n**3 + 0 + 10/9*n**4 + 16/9*n - 2/9*n**5 = 0. What is n?
-1, 0, 2
Suppose -72/11 - 166/11*d**2 - 280/11*d - 6/11*d**5 + 46/11*d**4 + 94/11*d**3 = 0. What is d?
-2, -1, -1/3, 2, 9
Factor 4/5*f**4 + 32/5*f**3 + 0*f - 16*f**2 + 0.
4*f**2*(f - 2)*(f + 10)/5
Let u = -3/64 + 1203/1088. Let 2/17*v**2 + u*v - 20/17 = 0. What is v?
-10, 1
Solve 460/7 + 12/7*o**2 + 152/7*o = 0.
-23/3, -5
Let x(i) be the second derivative of i**5/16 - 17*i**4/24 + 43*i**3/24 + 5*i**2/4 + 621*i. Suppose x(z) = 0. What is z?
-1/5, 2, 5
Let g = 3660820/7 - 522974. Suppose 0 - g*n**2 - 3/7*n + 1/7*n**3 = 0. What is n?
-1, 0, 3
Suppose 96 = 23*h + 4. Factor -90*j**3 + 162*j**2 - 2*j**5 + h*j**4 + 8*j**4 + 10*j**4 - 108*j.
-2*j*(j - 3)**3*(j - 2)
Suppose 75*y = -27*y - 137*y + 4541. Let u(p) be the first derivative of 0*p**2 + 15/4*p**4 + 0*p + 5/3*p**3 - 4*p**5 + y. Factor u(r).
-5*r**2*(r - 1)*(4*r + 1)
Let m = 4 + -2. Let v = 259 - 256. What is g in -g**3 + 5*g**m - 4 + 0*g**3 - 5 - v*g = 0?
-1, 3
Let q(c) be the first derivative of -10*c**3/3 + 85*c**2/2 + 45*c + 3321. Find p, given that q(p) = 0.
-1/2, 9
Let l(o) = 18*o**2 - 126*o - 43. Let z(k) = 9*k**2 - 64*k - 21. Let v(n) = 3*l(n) - 7*z(n). Let p be v(8). Factor -6/7*h + 2/7 - 2/7*h**3 + 6/7*h**p.
-2*(h - 1)**3/7
Let u = 44250 - 398249/9. Factor 5/3 + 8/9*r + u*r**2.
(r + 3)*(r + 5)/9
Let p(a) = -51683*a + 51685. Let q be p(1). Determine n, given that 0*n - 2/3*n**q + 8/3*n**3 - 8/3*n**5 + 0 + 2/3*n**4 = 0.
-1, 0, 1/4, 1
Let m be (-303)/(-36) + 2/(-40)*-5. Let r be ((1 + -4 - -2) + 0)*(-23 + -1). Factor r - 2/3*q**3 - 32*q + m*q**2.
-2*(q - 6)**2*(q - 1)/3
Let o(v) be the first derivative of 3*v**4/8 - 4*v**3 + 57*v**2/4 - 18*v - 1282. Factor o(h).
3*(h - 4)*(h - 3)*(h - 1)/2
Let m = -8865 + 8868. Let v(x) be the third derivative of -7/60*x**4 - 4*x**2 + 0*x + 0 - 2/15*x**m - 1/50*x**5. Factor v(h).
-2*(h + 2)*(3*h + 1)/5
Suppose 531*f = 537*f - 90. Suppose -2*h + 14 = 4*m, 8*m - 5*h = 3*m + 55. Factor 7*c**3 + c**3 + f*c - 14*c**3 + 12*c**2 + 9*c**3 + m.
3*(c + 1)**2*(c + 2)
Let x be ((-100)/(-275))/(10/55) + 80/(-44) + 0. Factor -16/11*w - x*w**2 - 32/11.
-2*(w + 4)**2/11
Let j(p) be the first derivative of p**4/24 + 5*p**3/16 - p**2/4 - 21*p + 65. Let m(y) be the first derivative of j(y). Factor m(s).
(s + 4)*(4*s - 1)/8
Factor 414194 + 616311 + 2090*s + 418062 + 3*s**2 - 356542 - 2*s**2.
(s + 1045)**2
Let p(c) = -22*c**3 - 23*c**2 + 105*c - 53. Let t(m) = 7*m**3 + 8*m**2 - 35*m + 18. Let b = 133 - 135. Let a(d) = b*p(d) - 7*t(d). Solve a(k) = 0 for k.
-4, 1
Suppose 13*i = 20*i - 14. What is g in 87*g - 484 + 129*g**i - 133*g**2 + g = 0?
11
Factor 0*c - 12/7*c**2 + 3/7*c**4 - 9/7*c**3 + 0.
3*c**2*(c - 4)*(c + 1)/7
Let o(k) be the first derivative of -88/9*k**3 + 1/2*k**4 - 196/3*k + 175/3*k**2 + 30. Factor o(c).
2*(c - 7)**2*(3*c - 2)/3
Let t(y) be the first derivative of -y**5/25 - 9*y**4/20 + 22*y**3/3 + 90*y**2 - 200*y - 762. Let t(u) = 0. Calculate u.
-10, 1, 10
Let o(q) = -q**3 - 56*q**2 - 71*q - 877. Let n be o(-55). Factor -16/9*d - 2*d**2 - 2/9*d**n + 0.
-2*d*(d + 1)*(d + 8)/9
Let q be 17 - (-3 + (-12)/6). Suppose 12*y**3 - 2*y**2 + q*y - 23*y - 9*y**2 = 0. What is y?
-1/12, 0, 1
Let r(x) = 4*x**4 - x**3 - 2*x**2 + x. Let o(h) = 31*h**4 - 37*h**3 - 238*h**2 - 132*h + 392. Let y(u) = 5*o(u) - 40*r(u). Find l, given that y(l) = 0.
-14, -2, 1
Let f(p) be the first derivative of -p**6/180 + 7*p**5/90 + 2*p**4/9 + p**2 - 5*p + 97. Let t(d) be the second derivative of f(d). Factor t(x).
-2*x*(x - 8)*(x + 1)/3
Let r(d) = -7*d**4 + 15*d**3 + 72*d**2 - 64*d - 204. Let l(q) = 50*q**4 - 105*q**3 - 505*q**2 + 450*q + 1430. Let u(w) = 2*l(w) + 15*r(w). Factor u(m).
-5*(m - 5)*(m - 2)*(m + 2)**2
Let g(c) be the first derivative of -2*c**6/7 + 106*c**5/35 - 159*c**4/14 + 376*c**3/21 - 60*c**2/7 - 32*c/7 + 2174. Let g(o) = 0. Calculate o.
-1/6, 1, 2, 4
Let u be (-1 - (-1860)/(-11))*(-8 - -11). Let g = u - -511. Determine k, given that 2/11*k**3 - g + 8/11*k**2 - 2/11*k = 0.
-4, -1, 1
What is y in -7491*y**3 - 5*y**5 + 1520*y**2 - 52*y**4 + 6432*y - 1457*y + 7489*y**3 + 3500 = 0?
-5, -1, 28/5
Let f be (-14400)/9000*20/(-14). Factor 6/7*d**2 + f*d + 8/7.
2*(d + 2)*(3*d + 2)/7
Let i = 549726/5 - 109945. Let i*u**3 + 24/5*u + 0 + 14/5*u**2 = 0. Calculate u.
-12, -2, 0
Suppose 0 = 111*a - 476*a + 1095. Factor a*u**2 - 3 - 3/7*u**3 + 3/7*u.
-3*(u - 7)*(u - 1)*(u + 1)/7
Let g(n) be the second derivative of -3/2*n**3 + 0 - 5/8*n**4 + 1/40*n**6 - n - 1/20*n**5 + 9/2*n**2. Let s(x) be the first deriv