311270/186771. Factor -i*y**2 - n*y + 0.
-5*y*(y + 11)/3
Let w(q) be the first derivative of 58 - 16/9*q**3 + 1/9*q**6 - 2/3*q**4 + 0*q**2 + 0*q + 4/15*q**5. Factor w(z).
2*z**2*(z - 2)*(z + 2)**2/3
What is l in 596*l**4 + 795*l**3 - 681 - 3570*l - 399 - 25*l**5 - 431*l**4 - 1885*l**2 = 0?
-4, -1, -2/5, 3, 9
Suppose 2*i = 5*s - 7, -3*i - 5*s + 7*s + 6 = 0. Suppose 4*y - 8 = 4*l, i*l = -5*y + 8 + 2. Determine p so that 1/3 - p + p**y - 1/3*p**3 = 0.
1
Let u be (0 - (-50)/20)*2708/6. Let d = 1130 - u. Suppose 2/3*m**3 - d*m**2 + 0 + 2/3*m = 0. What is m?
0, 1/2, 2
Factor -1953125*j**3 - 32*j - 996*j - 752*j - 93750*j**2 - 3 - 5 + 280*j.
-(125*j + 2)**3
Let s(w) = 14*w - 249. Let g be s(18). Suppose g*y - d = 3, 0*d + 4*d = 3*y - 12. Factor y + 1/3*l**5 + 0*l**2 + 4/3*l**4 + 0*l + 4/3*l**3.
l**3*(l + 2)**2/3
Let c(p) be the second derivative of 2 + 36*p + 1/10*p**6 - 11/4*p**4 - 12*p**2 - 9*p**3 + 0*p**5. Find h such that c(h) = 0.
-2, -1, 4
Let q = 1420 - 18445/13. Let n = q + 9/26. Factor 3/2*u**4 - u**2 + n*u - 1/2 - 1/2*u**5 - u**3.
-(u - 1)**4*(u + 1)/2
Factor -235*v + 79660*v**4 - 160*v**3 - 79665*v**4 - 325*v - 580*v**2.
-5*v*(v + 2)**2*(v + 28)
Suppose -2*d + 5 = 5. Let f be 200/55 + d + -2. Factor -f - 12/11*h - 2/11*h**2.
-2*(h + 3)**2/11
Suppose 1/4*k**3 + 0 + 0*k + 89/4*k**2 = 0. Calculate k.
-89, 0
Let -148/5*w**2 + 234*w + 2/5*w**3 + 12960 = 0. Calculate w.
-16, 45
Let i(x) = -116*x**2 - 19952*x + 240. Let a(b) = -13*b**2 - 2217*b + 27. Let j(d) = -80*a(d) + 9*i(d). Solve j(v) = 0 for v.
-552, 0
Suppose 5*t - 27 = a - 17, 6 = -a + 3*t. Let c(x) be the first derivative of 0*x - 2/95*x**5 - 1/57*x**6 + a*x**2 + 1/38*x**4 + 3 + 2/57*x**3. Factor c(s).
-2*s**2*(s - 1)*(s + 1)**2/19
Let q(l) = 13*l**2 + 333*l + 248. Let c(a) = -12*a**2 - 336*a - 246. Let s(r) = 2*c(r) + 3*q(r). Solve s(w) = 0.
-21, -4/5
Let m(f) be the first derivative of 13*f**3 + 12*f + 18*f**2 + 3/5*f**5 + 9/2*f**4 - 97. Factor m(c).
3*(c + 1)**2*(c + 2)**2
Find u, given that 22*u - 1/3*u**4 + 10*u**3 + 0 + 97/3*u**2 = 0.
-2, -1, 0, 33
Let n = 1355 + -1353. Let h(t) be the second derivative of -2*t**3 + 0 - 15*t - 9/2*t**n - 1/4*t**4. Factor h(u).
-3*(u + 1)*(u + 3)
Let m(d) be the first derivative of d**5/30 - d**4/6 + 2*d**3/9 + 1606. What is p in m(p) = 0?
0, 2
Let t be -50 + 592086/11616 - (4/64)/1. Factor -2/11*i**5 + 0 - t*i**3 - 8/11*i**4 + 0*i - 4/11*i**2.
-2*i**2*(i + 1)**2*(i + 2)/11
Suppose -3*y = 2*u - 14, -y + 5*u = 15 + 3. Let l(g) be the first derivative of 5/9*g**3 - 5 + 5/3*g - 5/3*g**y. Determine f so that l(f) = 0.
1
Let v = -10196/5 + 2041. Let q(k) be the first derivative of v*k - 6/5*k**2 + 18 + 1/5*k**3. Factor q(m).
3*(m - 3)*(m - 1)/5
Find p, given that 960845 + 443643 + 3352*p + 1601*p**2 - 1599*p**2 = 0.
-838
Let w(y) = -2*y**4 - 58*y**3 - 570*y**2 + 2747*y + 38413. Let a(m) = 2*m**4 + 62*m**3 + 576*m**2 - 2746*m - 38414. Let b(d) = -3*a(d) - 2*w(d). Factor b(r).
-2*(r - 7)*(r + 14)**3
Let l(d) be the second derivative of d**7/105 + d**6/25 - d**5/50 - 7*d**4/30 + 4*d**2/5 - 14*d + 23. Suppose l(n) = 0. Calculate n.
-2, -1, 1
Let x(z) be the third derivative of -z**6/240 - 21*z**5/40 + 49*z**4/12 - 11*z**3 + 321*z**2. Determine a so that x(a) = 0.
-66, 1, 2
Let f be 136/29 - (-28)/(-8 + 1). Let t = 176/87 - f. Factor -2/3*o**2 - t + 2*o.
-2*(o - 2)*(o - 1)/3
Factor -5*k**4 + 42 - 29*k + 49*k + 25 - 7 - 45*k**2 - 30*k**3.
-5*(k - 1)*(k + 2)**2*(k + 3)
Let 5886820 - 5887008 + 2*s + 188*s**2 + 3*s**3 - 5*s**3 = 0. What is s?
-1, 1, 94
Suppose -10*m + 327 = 107. Suppose k + 0*i = i + 5, -5*k + 2*i = -m. Factor -79*p**3 + 16*p**5 + 9*p**5 - 89*p**k - 20 + 74*p**4 + 95*p**2 - 6*p**3.
5*(p - 1)**3*(p + 2)*(5*p + 2)
Let s = 52615/7026 - -40/3513. What is o in 27/4*o + s*o**2 - 3/4*o**4 - 27/4 - 15/2*o**3 + 3/4*o**5 = 0?
-3, -1, 1, 3
Let k(g) be the third derivative of -g**5/30 - 7*g**4/24 - 11*g**3/6 + 5*g**2 - 7. Let w(n) = -n**2 - 2*n - 4. Let d(a) = -4*k(a) + 11*w(a). Factor d(o).
-3*o*(o - 2)
Let x(v) be the second derivative of v**4/24 + 9*v**3/2 - 295*v**2/4 + 1016*v. Let x(h) = 0. What is h?
-59, 5
Suppose 4*t = p + 6*t - 8, -2*p + 4*t = 8. Find k such that -3*k - 2*k**p + 6*k + 2*k**3 - 3*k**3 = 0.
-3, 0, 1
Let o(h) be the second derivative of 9*h**7/28 + 1376*h**6/5 + 945311*h**5/15 - 46784*h**4 + 10404*h**3 + 3*h - 812. Factor o(i).
i*(i + 306)**2*(9*i - 2)**2/6
Factor 25/2*c**2 - 5/4*c**3 - 90 - 15*c.
-5*(c - 6)**2*(c + 2)/4
Let -768*i**2 + 42*i + 3*i**3 - 849*i**2 + 1644*i**2 = 0. What is i?
-7, -2, 0
Suppose -2*l - 6 = 3*s, -4*s = 520*l - 522*l + 22. Determine w so that 39/8*w**2 + 33/8*w**l + 0 - 9/4*w - 39/8*w**4 - 15/8*w**5 = 0.
-3, -1, 0, 2/5, 1
Let j = 16 + -14. Determine c, given that 5*c**j - 1089 - 6*c**2 + 137*c - 71*c = 0.
33
Let c be (-48)/(-119) + ((-29232)/(-357) - 82). Factor 10/7*s - 12/7 - c*s**2.
-2*(s - 3)*(s - 2)/7
Let r(p) be the first derivative of -p**3/3 + p + 21. Let v(u) = 54 - 25*u - 14*u + 45 + 5*u**2 - u. Let i(y) = -r(y) - v(y). Factor i(x).
-4*(x - 5)**2
Let q be (-244175)/1625 + (-2 - -1)*-5. Let k = -714/5 - q. Determine s so that 14/13*s**2 + k*s**5 - 16/13*s**4 + 14/13*s - 46/13*s**3 + 2/13 = 0.
-1, -1/4, 1
Let w(v) be the third derivative of -v**8/2240 - v**7/140 - 37*v**4/24 + 12*v**2. Let q(c) be the second derivative of w(c). Factor q(n).
-3*n**2*(n + 6)
Find a, given that 1/5*a**5 - 3/5*a**3 + 0*a**2 + 0 + 2/5*a**4 + 0*a = 0.
-3, 0, 1
Find o, given that 4*o + 351 - 177 - 174 + 0*o**3 - o**3 + 3*o**2 = 0.
-1, 0, 4
Solve 1001/2 - 1/2*s**2 - 500*s = 0.
-1001, 1
Let b(y) be the second derivative of -55*y**4/12 + 551*y**3/3 - 20*y**2 - 2242*y. Solve b(o) = 0 for o.
2/55, 20
Let i = 16937/3 + -33871/6. Suppose -3/2*c**3 - i*c + 0 + 1/2*c**4 + 3/2*c**2 = 0. Calculate c.
0, 1
Let b(h) = -26*h**2 + 300*h - 540. Let l(y) = 5*y**2 - 60*y + 108. Suppose -3*z - 19 = k + 4*k, -10 = 2*k. Let t(n) = z*b(n) + 11*l(n). Let t(s) = 0. What is s?
2, 18
Suppose 2*g = g - 1. Let w(h) = 48*h - 3 + 3 - 1 + 44*h - 93*h. Let r(f) = -25*f**2 - 16*f + 9. Let z(b) = g*r(b) - 4*w(b). What is k in z(k) = 0?
-1, 1/5
Determine s, given that -51/2*s**2 + 4563/2 + 3/2*s**3 - 195/2*s = 0.
-9, 13
Let w(q) be the second derivative of -q**4/6 + 47*q**3 - 9*q - 59. Determine s, given that w(s) = 0.
0, 141
Let u = 7 + -52. Let x be u/((-13)/((-156)/(-198))). Let -90/11*f**2 + 12/11*f**3 + x*f**4 + 24/11 + 24/11*f = 0. What is f?
-2, -2/5, 1
Suppose -40 = -6*x - 4*x. Let s be -7 - (-42)/x - (1 + 1). Factor -3*v**2 - s*v**5 - 15/2*v**3 - 6*v**4 + 0 + 0*v.
-3*v**2*(v + 1)**2*(v + 2)/2
Suppose 23 = 4*w + 3*m - 29, -3*w + m + 39 = 0. Suppose l + w = 4*c, -2*c + 6*c - 2*l = 18. Let -4/13*d + 6/13 - 2/13*d**c = 0. Calculate d.
-3, 1
Let g = 2 + 0. Suppose 0 = 32*u - 70*u + 76. Solve -3*c**g + c**u - 2*c**2 - 12*c = 0 for c.
-3, 0
Let b = 36 + -43. Let q(l) = l + 24. Let x be q(b). Solve -6*g**2 + x*g - 48 + 13*g + 3*g**2 - 27 = 0 for g.
5
Suppose -1504/5 - 4/5*y**2 + 152*y = 0. Calculate y.
2, 188
Let y be 15/(-10)*(-10)/3. What is a in -2*a**3 + 24*a**4 + 400328*a**2 - a - 4*a**y + a - 42*a**3 - 400304*a**2 = 0?
0, 1, 2, 3
Let s be ((14/(-49))/((-4)/7))/(1 - -39). Let u(v) be the third derivative of -1/24*v**5 + 0 + s*v**6 + 0*v - 1/12*v**4 - 5*v**2 + 1/3*v**3. Solve u(c) = 0.
-1, 2/3, 2
Let g = -327523 - -327523. Find p such that 6/13*p**3 + 0 + 18/13*p**4 - 20/13*p**2 - 8/13*p**5 + g*p = 0.
-1, 0, 5/4, 2
Suppose -1494*f + 385*f**2 + 12509*f + 20667*f + 2640*f + 2*f**3 + 139*f**2 = 0. What is f?
-131, 0
Let q(g) be the third derivative of 2*g**7/105 - 17*g**5/15 - 6*g**4 - 40*g**3/3 - 25*g**2 - 6*g. Solve q(c) = 0.
-2, -1, 5
Let u(c) be the first derivative of -c**4/6 + 32*c**3/3 - 41*c**2/3 - 188*c - 3105. Factor u(y).
-2*(y - 47)*(y - 3)*(y + 2)/3
Let y(a) = -a**3 - a**2 - a - 5. Let z(m) = -14*m**3 + 536*m**2 - 75088*m - 75690. Let l(k) = 52*y(k) - 4*z(k). Solve l(v) = 0.
-1, 275
Let x(y) = -12*y**2 - 73*y + 4. Let h be x(-6). Factor 57*n + n**2 - 50*n - h - 2*n**2.
-(n - 5)*(n - 2)
Let j(z) be the third derivative of -31*z**5/90 - 35*z**4/36 - 4*z**3/9 + 3*z**2 + 33. Factor j(r).
-2*(r + 1)*(31*r + 4)/3
Let b(a) be the third derivative of -a**7/240 + 149*a**6/480 + 43*a**5/160 + 222*a**2 + 3*a - 1. Determine z, given that b(z) = 0.
-3/