s**2 - 12/7*s**3 + 15/7*s**h + 0 + 24/7*s**4 + 0*s = 0 for s.
-2, 0, 2/5
Let g(t) be the first derivative of 53 + 2/7*t**2 - 1/7*t**4 + 0*t + 0*t**3. Factor g(r).
-4*r*(r - 1)*(r + 1)/7
Let x = -20257/9 - -2251. Let h = -87 - -87. Suppose h*i + 0 + x*i**2 = 0. Calculate i.
0
Let d(s) be the second derivative of -1/5*s**5 + 0*s**4 - 4*s**2 + 19*s + 3 + 2*s**3. Factor d(f).
-4*(f - 1)**2*(f + 2)
Suppose -60 = -10*j + 5*j + 5*q, 0 = 2*j - q - 19. Solve 6 - 24 + j*i**2 + i**2 + i**2 + 21*i = 0.
-3, 2/3
Let k be (-67 + (-10 - -72))*(-4)/70. Determine a, given that k*a**3 + 2/7*a - 8/7*a**2 + 12/7 = 0.
-1, 2, 3
Let t(a) = -42*a - 5418. Let z be t(-129). Let s(m) be the second derivative of 0 - 1/3*m**4 + 2*m**2 + z*m**3 + 23*m. Factor s(g).
-4*(g - 1)*(g + 1)
Let p(g) be the third derivative of -g**7/1470 + g**6/840 + g**5/420 - g**4/168 - 843*g**2 - 2. Suppose p(n) = 0. Calculate n.
-1, 0, 1
Let l(x) be the first derivative of x**5/30 - x**4/3 - 7*x**3/9 - 22*x - 60. Let i(m) be the first derivative of l(m). Factor i(f).
2*f*(f - 7)*(f + 1)/3
Let v(s) be the first derivative of -s**4/5 + 17*s**3/5 + 57*s**2/2 + 68*s/5 + 2641. Solve v(b) = 0 for b.
-4, -1/4, 17
Let c(f) = -3*f**2 + 19*f - 58. Let v(m) = 4*m**2 - 19*m + 62. Let g(o) = 5*c(o) + 4*v(o). Suppose g(l) = 0. What is l?
-21, 2
Let c = -4/4781 - -9614/62153. Let 9826/13 + 102/13*w**2 - 1734/13*w - c*w**3 = 0. What is w?
17
Let w(i) = -i**3 + 18*i**2 + 2*i - 34. Let m be w(18). Let s be 66/(-12)*m*(-4)/22. Factor -15/2*c + 3/2*c**s + 6.
3*(c - 4)*(c - 1)/2
Suppose -4*p = -105 - 211. Let m = p + -32. Find q such that -115*q**2 - 15*q**4 - 33*q - 2*q**4 + 2*q**4 - m*q - 20 - 70*q**3 = 0.
-2, -1, -2/3
Suppose -10/9*t**4 - 68/9*t**3 + 224/9*t**2 + 76/3*t - 6 = 0. Calculate t.
-9, -1, 1/5, 3
Let j = 1193/125 + -7976/875. Factor -12/7 - 9/7*m + j*m**2.
3*(m - 4)*(m + 1)/7
Suppose -111 = 5*b + 19*l + 50, 3*l + 23 = -2*b. Factor 0 - 5*r**b - r**4 - 17/4*r**3 - r.
-r*(r + 2)**2*(4*r + 1)/4
Let u(i) be the second derivative of -89*i + 0*i**2 - 1 - 1/45*i**6 - 2/15*i**5 - 2/3*i**3 + 11/18*i**4. Factor u(y).
-2*y*(y - 1)**2*(y + 6)/3
Suppose -6*m - 572 + 584 = 0. What is z in -13*z**3 - 36*z + 3*z**3 + m*z**5 + 41*z + 3*z**5 = 0?
-1, 0, 1
Let i(f) be the third derivative of f**7/420 + f**6/20 + 2*f**5/5 + 4*f**4/3 - 11963*f**2. Find y such that i(y) = 0.
-4, 0
Suppose r + 11 = 3*j, -2*j = -0*j - 3*r - 12. Suppose j*a - 5*k = 37, 2*a - 11 = -2*a - k. Solve -4*w - a*w**2 + 744 - 744 = 0 for w.
-1, 0
Let i be 0 + 2 + 3 + 42156/48. Let j = 884 - i. Determine a, given that 1/2 + 3/4*a**3 - 7/4*a**2 - j*a + 5/4*a**4 = 0.
-1, 2/5, 1
Let b(i) be the first derivative of -i**4/7 + 8*i**3/7 + 74*i**2/7 + 120*i/7 + 1413. Let b(v) = 0. What is v?
-3, -1, 10
Let p(f) be the third derivative of f**6/720 + 7*f**5/120 + 19*f**4/72 + 2*f**2 - 1354. Factor p(b).
b*(b + 2)*(b + 19)/6
Solve -510*i + 15*i**3 - 285*i**4 - 5*i**5 - 455*i**2 + 1210*i**2 + 30*i**4 = 0.
-51, -2, 0, 1
Let w(g) = -28*g**3 + 432*g**2 + 1164*g - 1584. Let u(k) = 5*k**3 - 86*k**2 - 233*k + 317. Let n(a) = 16*u(a) + 3*w(a). Determine s, given that n(s) = 0.
-16, -5, 1
Suppose 0 = -20*b + 14*b + 12. Factor 2317*i**4 + 6*i**3 - 2*i + 0*i + 2*i**b - 2315*i**4 - 4 - 4*i.
2*(i - 1)*(i + 1)**2*(i + 2)
Let g(w) be the third derivative of w**9/25200 - 3*w**8/2800 + 3*w**7/350 - 95*w**4/24 - 30*w**2 + 1. Let m(b) be the second derivative of g(b). Factor m(z).
3*z**2*(z - 6)**2/5
Let r(k) be the first derivative of -k**7/315 - k**6/90 + k**4/18 + k**3/9 - k**2 + 34*k - 65. Let t(u) be the second derivative of r(u). Solve t(x) = 0 for x.
-1, 1
Let m be (8/10)/1*20. Factor -m*f - 18*f + 10*f + f**2.
f*(f - 24)
Let h = -1367 + 524. Let n = 848 + h. Determine i, given that -4/19*i**2 - 10/19*i**3 + 0 - 8/19*i**4 + 0*i - 2/19*i**n = 0.
-2, -1, 0
Let f(q) be the third derivative of 0*q - 49/30*q**6 - 19/6*q**4 - 3*q**2 - 1 - 2/3*q**3 - 32/105*q**7 - 17/5*q**5. Factor f(i).
-4*(i + 1)**3*(16*i + 1)
Let s(d) be the second derivative of -4*d**4/3 + 3310*d**3/3 + 828*d**2 + 5*d + 76. Solve s(c) = 0.
-1/4, 414
Let d be 95/828 - (-1324)/(-15226). Let w(u) be the second derivative of 1/36*u**3 + d*u**4 - 17*u + 1/120*u**5 + 0*u**2 + 0. Solve w(t) = 0 for t.
-1, 0
Let y be (-6600)/3267*-9 - (14 - -4). Let -6/11*t**3 + 6/11*t - y*t**2 - 2/11*t**4 + 4/11 = 0. What is t?
-2, -1, 1
Let n = 147 + -125. Let x(k) = 21*k**5 + 9*k**4 + 29*k**3 - 32*k**2 + 23*k - 6. Let o(f) = -2*f**5 - f**4 - f**3. Let p(s) = n*o(s) + 2*x(s). Solve p(g) = 0.
-6, 1
Let 22*m**5 - 324*m + 118*m**3 + 432 + 191*m**2 + 130*m**4 - 787*m**2 + 181*m**2 + 37*m**2 = 0. What is m?
-3, -2, 1, 12/11
Determine w so that 122*w**2 + 128 + 98*w - 8*w**3 + 151 - 311 = 0.
-1, 1/4, 16
Factor -1482*x - 12*x**2 + 8*x**2 - 316 + 1058.
-2*(x + 371)*(2*x - 1)
Let l(u) be the first derivative of 2*u**3/27 - 598*u**2/3 + 3586*u/9 - 10591. Factor l(o).
2*(o - 1793)*(o - 1)/9
Suppose -469*d = 449*d. Solve 0 + d*b**3 + 3/7*b**2 - 1/7*b**4 - 2/7*b = 0.
-2, 0, 1
Let b(t) = -2*t**3 - 78*t**2 - 524*t - 8. Let r(y) = -2*y**3 - 76*y**2 - 518*y - 7. Let o(c) = -7*b(c) + 8*r(c). Factor o(l).
-2*l*(l + 14)*(l + 17)
Suppose g**3 - 672985*g**4 - 5*g**5 + 673050*g**4 - 65*g**2 + 4*g**5 = 0. What is g?
-1, 0, 1, 65
Factor 225*b - 886*b - 1953125 - b**2 + 699*b - 4*b**2 + 6212*b.
-5*(b - 625)**2
Let m(s) = 3*s**4 + 18*s**3 + 71*s**2 + 52*s - 2. Let u(q) = -22*q**4 - 127*q**3 - 498*q**2 - 363*q + 15. Let j(v) = 15*m(v) + 2*u(v). Factor j(w).
w*(w + 1)*(w + 6)*(w + 9)
Let v(y) = -33*y**5 + 63*y**4 + 42*y**3 - 27*y + 27. Let r(s) = -5*s**5 + 9*s**4 + 6*s**3 - 4*s + 4. Let m(g) = 27*r(g) - 4*v(g). Determine u so that m(u) = 0.
-2, -1, 0
Let q = -1751 + 1769. Let d be (38/(-6) - (-6)/q) + 6. Factor d*k**3 + 0*k - 3/2 + 3*k**2 - 3/2*k**4.
-3*(k - 1)**2*(k + 1)**2/2
Let -3*v**4 + 331*v + 2646 + 764*v + 129*v**3 - 1443*v**2 - 24*v = 0. What is v?
-1, 2, 21
What is o in -1 - 24*o**2 + 1 + 40*o + 519*o**3 - 257*o**3 - 260*o**3 = 0?
0, 2, 10
Let m be (252/192*-4)/((-2)/(-48)). Let l be 7/(-3)*12/m. Factor 0 - l*u**2 + 0*u - 2/9*u**3.
-2*u**2*(u + 1)/9
Let n = 2288224/9 + -254246. Find s such that -1/9*s**2 - 1 - n*s = 0.
-9, -1
Let t(n) = -n**2 + 9*n - 14. Let b be t(3). Factor 12 - 22*v - v**3 + v**3 - 4*v**3 + 10*v**3 + 6*v**2 - 2*v**b.
-2*(v - 3)*(v - 1)**2*(v + 2)
Let d(l) be the first derivative of -14/15*l**3 + 43 + 0*l - 3/10*l**4 - 4/5*l**2. What is i in d(i) = 0?
-4/3, -1, 0
Suppose -4*n = -42 + 14. Suppose n*p + 1142 = 3781. Factor 36*k**2 + 432 + 161*k - p*k + 3*k**3 - 5*k**3.
-2*(k - 6)**3
Let m = 46 - 43. What is v in 5*v + 15*v - 5*v**m + 814*v**2 - 814*v**2 = 0?
-2, 0, 2
Let z = -26703/2 - -13352. Let m(r) be the second derivative of -1/12*r**4 - 1/40*r**5 + 0 + z*r**2 - 17*r + 1/12*r**3. Find i, given that m(i) = 0.
-2, -1, 1
Let l be 2 + (-18)/24*(-4)/1. Let t be (l/(-4))/((-1)/4). Suppose -4*h**5 + 5*h**4 - h**t + 22*h**2 + 5*h**3 - 27*h**2 = 0. What is h?
-1, 0, 1
Let q be (-158)/(-84) + (-3)/26*(-2405)/555. Let p(u) be the first derivative of 40/7*u**2 - 4 + 32/7*u + q*u**3. Factor p(m).
2*(5*m + 4)**2/7
Let x = -28/459 - -2699/36720. Let i(p) be the second derivative of -34*p + 0*p**3 + 0 + x*p**5 + 1/48*p**4 - 1/60*p**6 + 0*p**2. Solve i(g) = 0.
-1/2, 0, 1
Suppose 0 = -4*g - 12 - 16. Let l(d) = -d**2 - 7*d + 4. Let j be l(g). Factor 18*r**3 + 16*r**3 + 13*r**3 + 9*r**5 - 18*r**2 - 5*r**3 - 3*r + 3 - 33*r**j.
3*(r - 1)**4*(3*r + 1)
Let v = 1206086 - 13266944/11. Let -140/11 + 74/11*w - v*w**2 = 0. What is w?
2, 35
Let p(u) be the first derivative of 8/39*u**3 + 0*u + 22/65*u**5 + 59 - 6/13*u**4 - 1/13*u**6 + 0*u**2. Determine d so that p(d) = 0.
0, 2/3, 1, 2
Let 228 - 3/8*m**3 - 3651/8*m + 915/4*m**2 = 0. Calculate m.
1, 608
Let -2/3*o**3 + 28/3*o**2 + 0 + 10*o = 0. What is o?
-1, 0, 15
Let j(r) = r**2 + 15*r + 30. Let d be j(-14). Suppose -5*s - 8 = 4*v - d, -5*v + 10 = -5*s. Determine m so that 0*m**2 + 2/7*m**4 - 4/7*m**3 + s + 0*m = 0.
0, 2
Suppose 80195411384560 + 3*i**4 + 241562634*i**2 + 279912970245440 - 44352834*i**2 - 435176292000*i - 39720*i**3 = 0. Calculate i.
3310
Let k = -1/300 - -3041/12300. Let p = k + 52/123. What is t in p - t - 5/3*t**2 = 0?
-1, 2/5
Let k = 4519/255 - 299/17. Suppose 392/15 + 56/15*m + k*m**2 = 