- 16 = 0.
-1, 1
Let y = 1301356 - 1301354. Let -8/9*k**y + 8/9*k**4 + 0 - 8/9*k + 2/3*k**3 + 2/9*k**5 = 0. What is k?
-2, -1, 0, 1
Let w(r) be the first derivative of r**6/300 - 2*r**5/75 - r**4/5 + 185*r**2/2 - 67. Let k(b) be the second derivative of w(b). Factor k(u).
2*u*(u - 6)*(u + 2)/5
Let q(o) = -4290*o - 12867. Let n be q(-3). Find p, given that 0 - 3/4*p - 3/4*p**n - 11/8*p**2 - 1/8*p**4 = 0.
-3, -2, -1, 0
Let m(g) be the third derivative of g**5/30 - 142*g**4/3 + 1119*g**2. Let m(p) = 0. What is p?
0, 568
Find v, given that 0*v - 2/17*v**4 + 0 + 448/17*v**3 - 446/17*v**2 = 0.
0, 1, 223
Let g(u) be the second derivative of 27/2*u**2 - 4*u - 1/3*u**3 + 1/20*u**5 - 1/24*u**4 + 0. Let s(d) be the first derivative of g(d). Factor s(w).
(w - 1)*(3*w + 2)
Let r(n) be the first derivative of n**4/42 + 22*n**3/21 + 10*n**2/7 - 128*n/21 + 1202. Factor r(t).
2*(t - 1)*(t + 2)*(t + 32)/21
Find m such that -38*m**4 - 168*m - 251*m**5 + 848*m**2 - 53 + 312*m**3 + 235*m**5 + 258*m**4 - 1088*m**3 - 55 = 0.
-1/4, 1, 3, 9
Suppose 3*j + 567 = 2*k + 546, -5*j = -3*k + 35. Let s(z) be the first derivative of k*z**4 + 0*z + 0*z**2 - 3/25*z**5 + 1/5*z**3 + 11. Factor s(o).
-3*o**2*(o - 1)*(o + 1)/5
Let h = -30 + 34. Suppose 5*x - 302 = -2*q, 4*x = -0*q + h*q + 264. Factor -36*n - 1 + 70*n**2 - 1728*n**3 - x*n**2 - 440*n**2.
-(12*n + 1)**3
Let w(n) be the third derivative of n**5/240 - 5*n**4/96 - 3*n**2 - 28*n. Suppose w(g) = 0. Calculate g.
0, 5
Let k(h) be the first derivative of 9/34*h**4 + 6/17*h**2 - 58/51*h**3 - 88 + 0*h. Suppose k(r) = 0. Calculate r.
0, 2/9, 3
Let w(a) be the third derivative of 88*a**2 + 0*a + 4/3*a**3 + 0 - 1/15*a**5 - 7/12*a**4. Let w(v) = 0. Calculate v.
-4, 1/2
Suppose -272 = 67*t - 75*t. Factor -38 + 79*m**2 - 77*m**2 - 38 - t*m.
2*(m - 19)*(m + 2)
Let s(o) be the first derivative of o**5/5 - 16*o**4/3 + 128*o**3/3 - 114*o - 116. Let g(q) be the first derivative of s(q). Factor g(l).
4*l*(l - 8)**2
Let h(i) be the second derivative of 34*i**3 + 1/4*i**4 + 1734*i**2 - 2 + 10*i. Find t such that h(t) = 0.
-34
Suppose 138*x = 117*x. Let t(n) be the second derivative of -6*n + 3/4*n**4 + 3*n**2 - 5/2*n**3 + x. Factor t(i).
3*(i - 1)*(3*i - 2)
Suppose 0 = -4*g + 226 + 18. Let p = 67 - g. Determine n, given that p*n**3 - 4*n**3 + 11*n - 3*n**4 - 2 + 11*n**3 - 19*n**2 = 0.
1/3, 1, 2
Let s be (10/(-3))/(10/(-30)) - (-152 + 162). Factor s + 12/7*h + 2/7*h**2.
2*h*(h + 6)/7
Suppose 0 = 25*w - 7*w + 2*w. Let n(l) be the second derivative of w - 1/4*l**4 + 0*l**2 + 1/14*l**7 - 6*l + 0*l**3 + 1/10*l**6 - 3/20*l**5. Factor n(f).
3*f**2*(f - 1)*(f + 1)**2
Let x(a) be the third derivative of -a**6/180 + 247*a**5/45 - 15128*a**4/9 - 123008*a**3/9 - 3041*a**2 + 1. Factor x(u).
-2*(u - 248)**2*(u + 2)/3
Let j(z) be the second derivative of z**5/40 + 25*z**4/8 + 109*z**3/6 + 36*z**2 + z - 1666. Factor j(i).
(i + 1)*(i + 2)*(i + 72)/2
Factor 84/13 + 34/13*l + 2/13*l**2.
2*(l + 3)*(l + 14)/13
Let z = 299 + -159. Suppose -4*h**2 + 64 - 132*h + 332*h - z*h = 0. Calculate h.
-1, 16
Let d(o) be the first derivative of -3*o**4/20 + 9*o**3 + 213*o**2/5 + 288*o/5 - 4566. Factor d(v).
-3*(v - 48)*(v + 1)*(v + 2)/5
Let n(v) be the second derivative of -v**8/1344 - v**7/420 - v**6/480 - 59*v**2/2 + 3*v - 21. Let h(y) be the first derivative of n(y). Factor h(b).
-b**3*(b + 1)**2/4
Let x = 411569/2 - 205558. Determine a so that -105*a - 351/2*a**2 - 12 + x*a**3 + 66*a**4 = 0.
-4, -1/4, -2/11, 1
Let m(r) = 9*r**2 - 11*r + 402. Let a be m(14). Let n = a + -4011/2. Solve 11/2*v**3 + 2*v + 0 + n*v**2 + v**4 = 0 for v.
-4, -1, -1/2, 0
Let g(r) be the first derivative of -r**3/30 + 217*r**2/20 - 108*r/5 - 462. Factor g(l).
-(l - 216)*(l - 1)/10
Factor -276/5*h**2 + 441*h + 9/5*h**3 - 270.
3*(h - 15)**2*(3*h - 2)/5
Let t(o) be the third derivative of -1/420*o**6 + 0*o + 1/210*o**5 + 0 + 0*o**3 + 59*o**2 + 0*o**4. Let t(i) = 0. Calculate i.
0, 1
Factor 30*n**2 - 26*n**2 - 110 - 143*n - 586*n + 29*n + 806.
4*(n - 174)*(n - 1)
Let t = 45442 + -90881/2. Factor 3/2*o**2 - t*o**3 + 3/2*o - 3/2.
-3*(o - 1)**2*(o + 1)/2
Let i(d) = 2*d**2 - 7*d + 12. Let o(a) be the first derivative of a**3 - 9*a**2/2 + 12*a - 66. Let l(u) = 4*i(u) - 3*o(u). Factor l(q).
-(q - 3)*(q + 4)
Determine b, given that -33/2*b + 855/2*b**2 - 3 = 0.
-1/15, 2/19
Let o = -1816462/3 - -605489. Factor -o*v**2 - 7/3*v - 2/3.
-(v + 1)*(5*v + 2)/3
Let w(l) = -l**3 + 20*l**2 - 8*l - 63. Let v be w(18). Let y = v + -439. Factor 2/9*o + 4/9 - 2/9*o**y.
-2*(o - 2)*(o + 1)/9
Let l = 2192/6039 + 4/6039. Factor -12/11*h - 13/11*h**2 - l - 1/11*h**4 - 6/11*h**3.
-(h + 1)**2*(h + 2)**2/11
Let l(z) be the first derivative of 4*z**3/45 - z**2/15 + 2049. Factor l(a).
2*a*(2*a - 1)/15
Let j(x) be the first derivative of 3/4*x**3 + 15/4*x + 27/8*x**2 + 143 - 3/16*x**4. Find g, given that j(g) = 0.
-1, 5
Suppose -12261*i + 3 = -12264*i - 2*o, -4*i - o + 6 = 0. Suppose 4*a**2 - 16/5 + 0*a - 4/5*a**4 + 0*a**i = 0. Calculate a.
-2, -1, 1, 2
Let m be 72/42*(-686)/(-7). Let x = m + -838/5. Find k, given that x*k + 0 - 2/5*k**2 = 0.
0, 1
Let a(o) be the first derivative of -2/3*o**3 + 2/5*o**5 - 3/4*o**2 + 1/12*o**6 - 50 + 1/4*o**4 + 0*o. Factor a(d).
d*(d - 1)*(d + 1)**2*(d + 3)/2
Let u = 7 + -13/2. Let b = -443 - -445. Factor -4/5*n**3 + 0 - u*n**b + 3/5*n + 3/10*n**4.
n*(n - 3)*(n + 1)*(3*n - 2)/10
Suppose 10*x + 6 = 12*x. Suppose 7 = x*a - 11. Determine m so that -3*m**4 + a*m**3 - 6*m + 3*m**2 + 3*m**3 - 5*m**3 + 2*m**3 = 0.
-1, 0, 1, 2
What is a in 38/7*a - 6/7*a**2 - 52/7 = 0?
2, 13/3
Factor 289/2*n**3 + 0*n + 1/8*n**4 + 83521/2*n**2 + 0.
n**2*(n + 578)**2/8
Let o = -3572 + 7147/2. Let p(k) be the first derivative of 3/5*k**5 + k**3 + 17 + 0*k + o*k**4 + 0*k**2. Let p(b) = 0. What is b?
-1, 0
Let o(a) = 15*a**3 + 40*a**2 + 39*a - 28. Let t(b) = 13*b**3 + 41*b**2 + 40*b - 24. Let s(l) = 6*o(l) - 7*t(l). Solve s(i) = 0 for i.
-46, -1, 0
Let v(x) be the first derivative of -23*x**2/2 - 5*x - 17. Let c be v(-2). Find r such that -c*r**2 - 12*r**2 - 8*r + 16 - 46*r**3 + 0 - 10*r**4 - 7*r**2 = 0.
-2, -1, 2/5
Factor 3/4*v**3 - 99/2*v**2 - 186 + 189*v.
3*(v - 62)*(v - 2)**2/4
Let z = -6 + 8. Let t be (-1180)/(-35) - z/(-7). Factor h**2 - 34*h + h**2 + t*h - 2.
2*(h - 1)*(h + 1)
Let y be 388/970*(-90)/(-12)*(-8)/(-36). Solve -20/3 - 2*f - y*f**3 + 4*f**2 = 0 for f.
-1, 2, 5
Let h(y) = 7*y + 48. Suppose 20 = -43*v + 38*v. Let j be h(v). Determine p so that -6 + 13*p**2 + 13*p**2 - j*p**2 - 3*p + p**3 + 2*p**3 = 0.
-2, -1, 1
Let u be 10/(100/(-15))*6. Let i be (-27 - -23) + u/(-2). Suppose -1/2*v - i*v**2 + 1 = 0. Calculate v.
-2, 1
Find k, given that -8*k + 1/2*k**3 - 15/2*k**2 + 120 = 0.
-4, 4, 15
Let l(k) = 26*k - 81. Let h be l(8). Let c = h - 1015/8. Factor -1/4*z - c*z**2 - 1/8.
-(z + 1)**2/8
Solve -752/7*y - 4/7*y**2 - 35344/7 = 0 for y.
-94
Suppose -2*z + 3 = -2*x + 9, -z = -2*x + 8. Suppose -356*k**2 + 709*k**z - 12*k - 356*k**2 = 0. Calculate k.
-4, 0
Let a = 3981 + -3965. Let d(y) be the third derivative of -1/30*y**5 - a*y**2 - 2*y**3 - 5/12*y**4 + 0 + 0*y. Solve d(s) = 0 for s.
-3, -2
Suppose 112628*o = 112679*o - 204. What is k in -2/3*k**2 - o*k - 10/3 = 0?
-5, -1
Suppose -41*i**2 - 30*i**2 - 38*i**2 + 105*i**2 - 52*i - 88 = 0. What is i?
-11, -2
Let t(s) be the third derivative of s**5/105 - 1166*s**4/21 + 2719112*s**3/21 - 2*s**2 + 3*s + 285. What is h in t(h) = 0?
1166
Let f(z) = z + 7. Let q(x) = x**2 + 16*x + 10. Let i be q(-15). Let m be f(i). Factor 332 - 14*u - 322 + m*u - 2*u**4 + 12*u**3 - 8*u**2.
-2*(u - 5)*(u - 1)**2*(u + 1)
Let j be -37 + 48 + (-207)/15 + 3. Factor -64/5 - j*v**2 + 16/5*v.
-(v - 8)**2/5
Let h(g) be the first derivative of g**5/120 - 5*g**4/36 - 53*g**3/36 - 7*g**2/2 - 109*g - 67. Let r(x) be the first derivative of h(x). Factor r(d).
(d - 14)*(d + 1)*(d + 3)/6
Let q(d) = -d**3 + 7*d**2 - 12*d - 5. Let p(v) = -2*v - 17 + 0*v**3 + 29 - v**3 - 13. Let h(i) = 15*p(i) - 3*q(i). Find j such that h(j) = 0.
-2, 0, 1/4
Let b(h) be the third derivative of -h**7/2520 + h**6/240 - h**5/60 + h**4/4 - h**3/6 + h**2 - 2*h. Let y(k) be the second derivative of b(k). Factor y(m).
-(m - 2)*(m - 1)
Let m(q) be the second derivative of -q**4/12 - 1312*q**3 - 7746048*q**2 - 4*q - 497. Suppose m(a) = 0