f 235 + 10/27*k**3 + 4/3*k + 23/18*k**2 - 1/36*k**4. Factor i(o).
-(o - 12)*(o + 1)**2/9
Factor -4*z + 152/3*z**2 + 0.
4*z*(38*z - 3)/3
Let a = 504 - 477. Factor 18 + 0*c**4 - 8*c + 63*c**2 - a*c**3 + 3*c**4 - 117*c + 68*c.
3*(c - 6)*(c - 1)**3
Let j = 376 + -210. Find d, given that -158*d**3 - d**4 - 10*d**2 + 26*d**2 + j*d**3 + 2*d**4 = 0.
-4, 0
Let w = 370437 - 370423. Let -6*n - 1/2*n**2 + w = 0. What is n?
-14, 2
Let w(x) be the first derivative of -x**5/10 - 29*x**4/8 + 127*x**3/6 - 163*x**2/4 + 33*x + 2137. Let w(s) = 0. Calculate s.
-33, 1, 2
Let i(h) = -41*h**3 - 375*h**2 + 432*h + 810. Let f(k) = 11*k**3 + 93*k**2 - 108*k - 202. Let o(c) = -11*f(c) - 3*i(c). What is y in o(y) = 0?
-52, -1, 2
Let r(p) = -p**2 - p - 2. Let s(h) = 20*h**2 + 45*h + 55. Suppose 36*l = -13*l - 49. Let b(n) = l*s(n) - 15*r(n). Factor b(o).
-5*(o + 1)*(o + 5)
Let n(q) = -3*q**5 - 2*q**4 + 51*q**3 + 2*q**2. Let s(v) = -14*v**5 - 11*v**4 + 258*v**3 + 11*v**2. Let z(a) = 11*n(a) - 2*s(a). Find i such that z(i) = 0.
-3, 0, 3
Let t(l) be the second derivative of -20/3*l**3 + 3 - 42*l**2 - 1/3*l**4 + 10*l. What is h in t(h) = 0?
-7, -3
Factor 47*v + 360 - 11*v**3 + 47*v**3 - 179*v + 122*v**4 - 126*v**4 - 68*v**2.
-4*(v - 5)*(v - 3)**2*(v + 2)
Let q(k) = -75*k**4 + 230*k**3 + 43*k**2 - 697*k + 460. Let j(x) = -35*x**4 + 115*x**3 + 21*x**2 - 349*x + 230. Let t(n) = 13*j(n) - 6*q(n). Factor t(y).
-5*(y - 23)*(y - 1)**2*(y + 2)
Determine w so that -2/7*w**4 - 6*w**3 + 300/7 - 10*w - 186/7*w**2 = 0.
-15, -5, -2, 1
Let h(o) = -o**3 - 186*o**2 + 789*o + 958. Let q(v) = -v**3 - 3*v**2 + 3*v + 1. Let k(c) = h(c) - 4*q(c). Find n such that k(n) = 0.
-1, 6, 53
Factor 171698/3 - 1172/3*h + 2/3*h**2.
2*(h - 293)**2/3
Let l(w) be the first derivative of w**6/2 - 558*w**5/5 + 26499*w**4/4 - 17112*w**3 + 12696*w**2 + 1156. Factor l(u).
3*u*(u - 92)**2*(u - 1)**2
Let m(h) be the second derivative of -1/10*h**5 - 8*h - 25/2*h**4 - 625*h**3 - 15625*h**2 + 2. Determine z so that m(z) = 0.
-25
Let o(x) be the second derivative of -169/2*x**2 + 78*x + 13/3*x**3 - 1 - 1/12*x**4. Factor o(f).
-(f - 13)**2
Let v(x) be the third derivative of 0*x**3 - 27*x**2 + 1/300*x**6 + 1/12*x**4 + 0 + 0*x - 1/25*x**5. Find h, given that v(h) = 0.
0, 1, 5
Let v(n) be the third derivative of n**8/13440 + n**5/30 + 3*n**2 + 12. Let y(q) be the third derivative of v(q). Factor y(j).
3*j**2/2
Let y = -1/8 + 3/8. Let t = 495/59 - 1803/236. Determine v so that -5/4*v**3 + v**5 - 3/4*v**2 + 0 + y*v + t*v**4 = 0.
-1, 0, 1/4, 1
Let 0 - 20000/17*f**2 - 144/17*f**4 - 2/17*f**5 - 3300/17*f**3 + 93750/17*f = 0. Calculate f.
-25, 0, 3
Let l be (40/15)/4 - ((-3)/2)/(-3). Let c(m) be the third derivative of 0*m - 5/3*m**3 - l*m**6 + 0 + 11/12*m**5 - 25/24*m**4 + 8*m**2. Let c(i) = 0. What is i?
-1/4, 1, 2
Let c(f) be the third derivative of -3*f**8/112 - f**7/70 - 476*f**2. Solve c(b) = 0 for b.
-1/3, 0
Let k(x) be the third derivative of -x**7/70 - 9*x**6/40 + x**5/20 + 9*x**4/8 - 172*x**2 - 16. Determine d, given that k(d) = 0.
-9, -1, 0, 1
Factor -238240/7*x**2 - 63424/7*x - 398400/7*x**3 - 6336/7 - 251500/7*x**4 - 2500/7*x**5.
-4*(x + 99)*(5*x + 2)**4/7
Suppose -3*u = -17 - 10. Suppose u + 6 = 5*m. Factor 40*k**2 + 10*k**m + 20*k**5 - 20*k**4 - 30*k - 14*k**4 - 11*k**4 + 10 - 5.
5*(k - 1)**3*(k + 1)*(4*k - 1)
Suppose -6*r - 5*r = -15*r. Suppose r = -66*l + 62*l + 12. Solve 5*a**l - 7*a**5 - 6*a**2 + 3*a**4 + 3 + 6*a**3 - 6*a + a**5 + a**3 = 0 for a.
-1, 1/2, 1
Let x(f) be the second derivative of 0*f**2 - 5/6*f**3 - 2 - 27*f - 5/4*f**4 - 3/4*f**5 - 1/6*f**6. What is k in x(k) = 0?
-1, 0
Factor 1/5*l**3 + 102/5*l**2 + 0 + 0*l.
l**2*(l + 102)/5
Suppose -3*s - 2860 = z - 2*s, 8580 = -3*z + 2*s. Let v be (4*12/16)/((-6)/z). Suppose -460*u - 25 - v*u**2 - 605*u**3 + 9 - 24 = 0. Calculate u.
-2, -2/11
Let x(r) be the first derivative of -2*r**3/3 - 166*r**2 + 1014*r + 3555. Find w, given that x(w) = 0.
-169, 3
Suppose -3*r = 2*x - 47, -79 = -5*r + 4*x - 8*x. Factor 12*u**5 - 3*u**5 - r*u**5 + 14*u**4 - 4*u**3 + 0*u**5.
-2*u**3*(u - 2)*(3*u - 1)
Let h(b) be the second derivative of -b**4/18 - 1253*b**3/9 + 418*b**2 - 2*b + 74. Find w such that h(w) = 0.
-1254, 1
Let t be (18/8)/((-2)/(-3)). Let x(q) = 18*q - 51. Let v be x(3). Factor -15/8*b**2 + 9/8*b + 3/8*b**v + t.
3*(b - 3)**2*(b + 1)/8
Suppose -13*o = 1466 - 400. Let p be 123/o*(-1 - 1). Factor 0*m**2 + 0*m + 0 + 4/5*m**5 + 4/5*m**p - 8/5*m**4.
4*m**3*(m - 1)**2/5
Solve 0*t**2 - 2/3*t**4 - 2*t**3 + 0 + 8/3*t = 0.
-2, 0, 1
Let n(d) be the second derivative of d**6/105 - 2*d**5/7 - d**4/2 + 2450*d. Find w, given that n(w) = 0.
-1, 0, 21
Let b(r) be the first derivative of -r**7/140 + r**6/40 + r**5/40 - r**4/8 - 102*r**2 - 288. Let l(f) be the second derivative of b(f). Factor l(o).
-3*o*(o - 2)*(o - 1)*(o + 1)/2
Suppose 3*u + 43 = -0*v + 4*v, -4*u - 34 = -3*v. Suppose -k = -4*o + v, 3*k - 8*o - 9 = -9*o. What is b in 1/3*b**k + 0*b - 1/3*b**4 + 0*b**3 + 0 = 0?
-1, 0, 1
Suppose 1/6*a**4 + 0 - 56/3*a**2 + 20/3*a**3 + 0*a - 1/6*a**5 = 0. Calculate a.
-7, 0, 4
Let p = 17/18 - 4/9. Let o be (-9)/(-2)*(-3 + 124/36). Factor -1 + p*y**o + 1/2*y.
(y - 1)*(y + 2)/2
Let d(j) be the first derivative of 0*j + 1/8*j**6 + 5*j**3 + 87 - 27/8*j**4 - 21/8*j**2 + 3/5*j**5. Suppose d(r) = 0. Calculate r.
-7, 0, 1
Suppose s + 3*u = 10, -2*u + 12 = -0*s + 2*s. Suppose -s*d = 5*z - 52, -3*d + 2*d = -z - 22. Let -12*f + 0*f + 8 + 14*f**2 - d*f**2 + 8*f**2 = 0. What is f?
1, 2
Let v = -104857/12 - -8741. Let s(p) be the second derivative of v*p**3 - 25/4*p**2 + 1/40*p**5 - 11/24*p**4 - 9*p + 0. Factor s(x).
(x - 5)**2*(x - 1)/2
Let o be (1164/(-297))/(3 + (-32)/12). Let f = -111/11 - o. Factor 220/3*c**2 + f + 25*c.
5*(4*c + 1)*(11*c + 1)/3
Let l(m) be the third derivative of -m**7/1260 - 53*m**6/720 - 15*m**5/8 + 81*m**4/16 + 82*m**2. Determine b, given that l(b) = 0.
-27, 0, 1
Suppose 117*a + 809*a - 669 = 441 + 742. Let 20/11*x - 2/11*x**3 + 2/11*x**a + 16/11 = 0. Calculate x.
-2, -1, 4
Let z(q) = 5*q**3 + 17*q**2 - 66*q + 3. Let l(x) be the first derivative of -5*x**4/4 - 16*x**3/3 + 34*x**2 - 4*x + 58. Let u(j) = 3*l(j) + 4*z(j). Factor u(a).
5*a*(a - 2)*(a + 6)
Let y = 14118 + -56467/4. Suppose 15/4*z + y*z**3 + 15/4*z**2 + 5/4 = 0. Calculate z.
-1
Let d = 258187 + -258185. Let 1/3*x**4 - d*x**2 - 1 + 8/3*x + 0*x**3 = 0. Calculate x.
-3, 1
Suppose -4*s - 3*r = -43, 4*r = 5*s - 25 - 21. Let j = s + 8. Factor -5*p + 14*p + 6*p + j - 3*p**2.
-3*(p - 6)*(p + 1)
Let q be (-2)/17 - (13/(195/(-285)) + 1129/85). Let 16/5*g + 0 - 9/5*g**4 + 1/5*g**5 + q*g**3 - 36/5*g**2 = 0. What is g?
0, 1, 2, 4
Suppose 59843*t + 6 = -5*c + 59837*t, 0 = -c - t - 1. Factor 1/2*d**2 + 0*d + 1/4*d**4 - 3/4*d**3 + c.
d**2*(d - 2)*(d - 1)/4
Suppose 2*v = -28 - 2. Let d be 5/v*(-9)/1. Factor -27/5*f**2 - 81/5*f - 81/5 - 3/5*f**d.
-3*(f + 3)**3/5
Let c(u) = -5*u**2 + 319*u - 310. Let h(y) = y**2 - 2*y - 1. Let a(j) = c(j) + 2*h(j). Factor a(s).
-3*(s - 104)*(s - 1)
Let h(c) be the third derivative of -7/27*c**4 + 7*c**2 + 8/27*c**3 - 23/135*c**5 + 13/180*c**6 + 1/35*c**7 + 0 - 9*c. Suppose h(r) = 0. What is r?
-2, -2/3, 2/9, 1
Determine p so that -15*p**3 - 276/5 + 2757/5*p - 1374*p**2 = 0.
-92, 1/5
Suppose 15*q = 353 + 157. Factor -102*l**2 + 100*l**2 + 6 - 6 - q*l.
-2*l*(l + 17)
Solve 8*w + 85*w**2 - 87*w**2 - 70 + 150 - 20*w = 0 for w.
-10, 4
Let z(y) be the first derivative of y**7/630 + y**6/360 - y**5/90 + 10*y**2 + y + 64. Let j(k) be the second derivative of z(k). Solve j(a) = 0.
-2, 0, 1
Let c(o) be the second derivative of o**5/5 + 29*o**4/3 + 518*o**3/3 + 1470*o**2 + 2115*o. Factor c(g).
4*(g + 7)**2*(g + 15)
Suppose 0 = h + 3292 - 3296. Let p(t) be the third derivative of -15*t**2 + 0*t + 0*t**3 + 1/18*t**5 + 0 - 1/36*t**h. Suppose p(k) = 0. What is k?
0, 1/5
Let f(q) = 22*q**2 - 66*q + 44. Suppose 9 = 5*k + 4*k. Let v(p) = k + p**2 - 68*p + 3 + 62*p + p**2. Let m(a) = -6*f(a) + 68*v(a). Determine r so that m(r) = 0.
1, 2
Let j(h) be the second derivative of h**4/6 - 452*h**3/3 + 51076*h**2 - 28*h - 4. Factor j(o).
2*(o - 226)**2
Factor -3466/15*a - 2/15*a**2 - 3464/15.
-2*(a + 1)*(a + 1732)/15
Suppose 8*k + 15 = 3*k, -4*d - 3*k + 411 = 0. Factor 6*s**4 + s**3 - d*s**2 + 98*s**2 + s**4 - 2*s + s**3.
