*3 + h*j + 0 + 0*j**2 + 2/9*j**4.
2*j**3*(j + 1)/9
Let a(o) be the first derivative of -o**3/7 + 114*o**2/7 - 225*o/7 + 3249. Determine d so that a(d) = 0.
1, 75
Let s(a) = 2*a**3 + 3*a**2 - 7*a - 10. Let q be s(-4). Let c be (-34)/(-187) + q/(-22). Factor 4/5*n**2 + 2/5*n**c + 2/5*n + 0.
2*n*(n + 1)**2/5
Suppose -m + 3*m = 2*y + 98, -m + 249 = -5*y. Let l = y - -53. Factor 2/3*k**2 + 1/9*k**l + k + 4/9.
(k + 1)**2*(k + 4)/9
Let h = -83 + 165. Let l = h + 34. Factor -3*x**2 - l + 116 + 15*x.
-3*x*(x - 5)
Solve 10*m**3 - 1/2*m**5 + 1/2*m**4 + 0*m**2 + 0 + 0*m = 0 for m.
-4, 0, 5
Let i(w) be the first derivative of 3*w**5/5 - 1581*w**4/4 - 677. Suppose i(r) = 0. Calculate r.
0, 527
Let w = -5178 - -5183. Let m(r) be the second derivative of -1/10*r**w + 0 + 0*r**2 + 1/6*r**4 - 19*r + 1/3*r**3 - 1/15*r**6. Determine d, given that m(d) = 0.
-1, 0, 1
Let 2*t**4 + 349 - 1254 + 305 + 22*t**3 + 46*t**2 - 190*t = 0. What is t?
-5, -4, 3
Let v be ((-9552)/13930)/(8/(-15)). Suppose 5/7*o**2 + 0 - v*o**4 + 2/7*o - o**3 + 9/7*o**5 = 0. What is o?
-2/3, -1/3, 0, 1
Find m, given that -618/5 - 1856/15*m - 2/15*m**2 = 0.
-927, -1
Let h(k) = 7*k**4 + 67*k**3 + 194*k**2 + 205*k + 56. Let t(s) = 3*s**4 + 34*s**3 + 98*s**2 + 102*s + 29. Let w(u) = 2*h(u) - 5*t(u). Let w(b) = 0. What is b?
-33, -1
Let n be (5 + (-442)/65)*-5. Let u(c) be the first derivative of 1/2*c**4 - c**2 - 4/3*c**3 - n + 4*c. Factor u(f).
2*(f - 2)*(f - 1)*(f + 1)
Suppose -77*v = -31*v - 92. Factor -4*g**3 + 3*g - 2*g**2 - 8*g**2 - 7*g + v*g**2 + 0*g**3.
-4*g*(g + 1)**2
Let j = -19870 + 19875. Let n(y) be the first derivative of -30 + 3*y**j + 0*y + 25/2*y**4 + 15*y**3 + 5*y**2. Find x, given that n(x) = 0.
-2, -1, -1/3, 0
Determine d, given that 88/7*d**2 - 4*d + 2/7*d**4 + 4*d**3 - 90/7 = 0.
-9, -5, -1, 1
Let j(k) = k**3 - 12*k**2 - k + 15. Let o be j(12). Let l be 6*((-14)/7)/(1*-4). Factor 498*h**3 + h - 5*h**2 - 497*h**l + o*h.
h*(h - 4)*(h - 1)
Let n(b) be the first derivative of -b**5 + 5*b**4/2 + 1662. Suppose n(x) = 0. What is x?
0, 2
Let k be 4 + (8905/(-2090) - 2/(-11)). Let w = k - -17/95. Factor 2/5*c**3 + 0*c + 0*c**4 + 0 - w*c**5 + 0*c**2.
-c**3*(c - 2)*(c + 2)/10
Suppose -1/4*o**2 + 180 - 33/4*o = 0. Calculate o.
-48, 15
Let m(h) be the third derivative of -2*h**7/15 + 148*h**6/15 - 28*h**5/5 + 1874*h**2. Let m(p) = 0. Calculate p.
0, 2/7, 42
Let u(k) = -28*k**2 + 3048*k + 12249. Let p(v) = 10*v**2 - 1016*v - 4086. Let x(z) = 17*p(z) + 6*u(z). Factor x(m).
2*(m + 4)*(m + 504)
Suppose 14 = -z + 37. Let g = z - 21. Factor -16*c**2 + 20*c**2 - 9*c**g.
-5*c**2
Solve 19*m**3 + 233*m**2 - 1 - 17 + 117*m**4 - 116*m**4 + 198 + 364*m + 31*m**3 = 0.
-45, -2, -1
Suppose -40*g + 35*g + 10650 = 0. Factor -3*q**4 + 4*q**4 + 0 + 6*q**2 - 4*q**3 + 1 - g*q + 2126*q.
(q - 1)**4
Let j(t) be the third derivative of 2*t**7/735 + 11*t**6/210 + 31*t**5/105 + t**4/2 + 1002*t**2. Factor j(y).
4*y*(y + 1)*(y + 3)*(y + 7)/7
Suppose 161*x - 230 = 92. Let f(b) be the first derivative of 18/5*b**x + 54/5*b + 2/5*b**3 - 8. What is j in f(j) = 0?
-3
Let v be ((-39)/26)/((-6)/8). Suppose 4*w - 1 = 3*p - 2, v*w - 4 = 0. Factor 15*l**2 - p*l**2 + 2 - 4*l**2 - 2*l**4 - 2*l**3 + l**5 - 7*l.
(l - 1)**4*(l + 2)
Let b be 36/52*((-5920)/120 - -50). Factor 2/13*c**5 + 24/13*c**3 - 12/13*c**4 + 0 + b*c - 20/13*c**2.
2*c*(c - 3)*(c - 1)**3/13
Let i be 3/(-7)*(11 - -8 - 26). Find x such that 2/7*x**5 + 16/7*x - 10/7*x**i + 8/7 - 2/7*x**4 + 2/7*x**2 = 0.
-1, 2
Let t = 21287/14186 + -4/7093. What is r in 1/6*r**4 - 1/3*r + 4/3 - t*r**2 + 1/3*r**3 = 0?
-4, -1, 1, 2
Suppose -162 - 173 = -o - 332. Let d = 16 + -14. Factor -40/9*x**4 + 8/9*x**5 + 74/9*x**o + d*x + 0 - 20/3*x**2.
2*x*(x - 1)**2*(2*x - 3)**2/9
Suppose 4*t + 4*a - 64 = 0, 3*a + 18 = 4*t - 60. Let u be (-4)/(-12)*t/16. Factor -1/2 + u*g**2 - 1/8*g**4 + 1/2*g - 1/4*g**3.
-(g - 1)**2*(g + 2)**2/8
Solve -539*p**2 - 2*p**3 + 89296 + 39*p**2 - 29154*p + 43083 + 161470 - 27593 = 0.
-129, 8
Let l = -120 + -1478. Let h = l - -1600. Let 6/19*s**h + 0*s + 0 - 2/19*s**3 = 0. Calculate s.
0, 3
Let v be (-126)/(-120)*(1260/(-8))/7. Let s = 24 + v. Find l such that 0*l**2 + 0 + s*l - 3/8*l**3 = 0.
-1, 0, 1
Let 0 - 21/2*f**2 - 17*f**3 - f = 0. What is f?
-1/2, -2/17, 0
Let m(w) be the third derivative of 5*w**8/336 - 62*w**7/21 - 251*w**6/24 - 21*w**5/2 - 5821*w**2. Factor m(i).
5*i**2*(i - 126)*(i + 1)**2
Let m(k) be the first derivative of k**5/60 - k**4/3 + 2*k**3 - 5*k**2/2 + 2*k - 70. Let l(o) be the second derivative of m(o). Let l(p) = 0. What is p?
2, 6
Let a be (-252)/(-495)*(-25 - 770/(-28)). Solve 0 + a*v**2 - 2/11*v**4 - 8/11*v**3 + 20/11*v = 0 for v.
-5, -1, 0, 2
Let c = 1826945 + -1826942. Let -10/3*v**c - 16/3*v**2 + 0 - 8/3*v - 2/3*v**4 = 0. What is v?
-2, -1, 0
Let h(a) be the third derivative of -a**7/16380 + 7*a**6/780 - 147*a**5/260 - 25*a**4/24 + 59*a**2. Let p(l) be the second derivative of h(l). Factor p(r).
-2*(r - 21)**2/13
Let p(y) be the third derivative of 5*y**8/56 - 29*y**7/105 + 7*y**6/60 + 13*y**5/30 - y**4/2 + y**2 - 2*y + 449. Suppose p(j) = 0. What is j?
-2/3, 0, 3/5, 1
Let c be 435/15 - (39 + -13). Let s(q) be the second derivative of -12/5*q**2 + 0 - 3/5*q**c - 1/20*q**4 - 10*q. Factor s(f).
-3*(f + 2)*(f + 4)/5
Suppose -4*n = -5*o + 2 - 3, -4*n + 3*o + 7 = 0. Determine x, given that -203*x**5 + 5*x**n - 12*x**4 - x**2 - 8*x**2 + 202*x**5 - 19*x**3 + 4*x**3 = 0.
-3, -1, 0
Let u be (-1736)/(-8)*4/7. Factor -124 + u - 2*j**4 - 50*j**2 + 48*j**2 - 4*j**3.
-2*j**2*(j + 1)**2
Let h(t) = -17 - 7 - 5 + 7 + 17*t. Let f be h(4). Solve -8*j**3 + 10*j - 10*j**5 + 5*j**2 - 22*j**3 + 11*j**4 - f*j**4 = 0.
-2, -1, 0, 1/2
Suppose -33*i + 251/5*i**2 - 83/5 - 3/5*i**3 = 0. What is i?
-1/3, 1, 83
Let j(i) be the first derivative of -5*i**3/3 - 260*i**2 + 487. Factor j(k).
-5*k*(k + 104)
Let h(o) be the second derivative of -39*o - 17/2*o**4 + 11/2*o**3 + 18/5*o**5 - 3/2*o**2 + 0. Let h(z) = 0. Calculate z.
1/6, 1/4, 1
Let q = -1205545 + 4822209/4. Factor 0 + q*r + 1/4*r**2.
r*(r + 29)/4
Let v(c) be the third derivative of 0 - 217*c**2 - 65/4*c**4 + 1/20*c**5 + 4225/2*c**3 + 0*c. Let v(d) = 0. What is d?
65
Let z be (-200)/3500 + 626/(-70) - -12. Solve 0*u - 96/5*u**4 + 0 - 18/5*u**z - 128/5*u**5 + 0*u**2 = 0.
-3/8, 0
Let c = 11598 + -313145/27. Let a(r) be the first derivative of 5/18*r**2 + 25 - 2/3*r + c*r**3. Determine q so that a(q) = 0.
-6, 1
Let c(p) be the third derivative of -16*p**7/735 + 286*p**6/35 - 61347*p**5/70 - 287*p**2. Factor c(o).
-2*o**2*(4*o - 429)**2/7
Let b be (3 - (-1656)/(-160))/(30/(-25)). Factor -b*k**3 + 17*k - 5/2 - 217/8*k**2.
-(k + 5)*(7*k - 2)**2/8
Let w(o) = -2*o - 51. Let r be w(-26). Let t be -1*r/6 + 533/390. Determine j, given that 360*j**2 + t*j**4 + 0 - 36*j**3 - 1200*j = 0.
0, 10
Suppose -p + 5*d = 7, -p + 84*d - 88*d = -11. Suppose p*f = 5*o, 4*o - 5*o = -2*f. Find b such that f + 2/3*b**2 + 2/3*b = 0.
-1, 0
Let -242/3*m**4 + 280/3 + 14/3*m**5 - 38/3*m**2 + 1034/3*m**3 - 1048/3*m = 0. Calculate m.
-1, 2/7, 1, 7, 10
Let m(u) be the second derivative of 19*u**7/14 - 22*u**6/5 - 21*u**5/20 + 11*u**4 - 6*u**3 - 6754*u. Let m(h) = 0. What is h?
-1, 0, 6/19, 1, 2
Let v(u) be the third derivative of 0*u - 1/4*u**4 + 0 + 9/70*u**7 + 13/40*u**6 - 9/20*u**5 + 0*u**3 - 11/112*u**8 + 240*u**2. Find a, given that v(a) = 0.
-1, -2/11, 0, 1
Find z, given that -1/4*z**2 - 26*z - 51 = 0.
-102, -2
Let g(l) be the third derivative of l**10/37800 - l**8/2520 + l**6/180 - l**5/30 + 7*l**4/12 - 23*l**2. Let t(c) be the third derivative of g(c). Factor t(x).
4*(x - 1)**2*(x + 1)**2
Let k(s) = 2*s + 51. Let g be k(-30). Let x be g + 1 + (-270)/(-33). Determine v so that 10/11*v**2 + 16/11*v + 8/11 + x*v**3 = 0.
-2, -1
Let s = 115 - 111. Let r be (s + -3 + (-7)/(-2))*10. Factor 23*o**2 - 3*o + 25*o**2 + 6*o - r*o**2.
3*o*(o + 1)
Let r(u) = -2*u**3 - u**2 - 28*u - 104. Let j be r(-6). Let 400*d**5 + 4*d**3 + 28*d**2 - 42*d - j*d**4 + 38*d + 32*d**3 = 0. Calculate d.
-1/4, 0, 1/5, 1
Let i be 15/(-2) - (6 + (-90)/12). Let t be (i*2/8)/(6/(-32)). Factor -11*h + 10 - 5 + 0*h**3 - h**3 + t*h**2 - h**2.
-(h - 5)*(h - 1)**2
Let 188/9*w - 2/9*w**2 + 0 = 0. Calculate w.
0, 94
Let m(j) be the first derivative of -3*j**5/40 - 3*j**4/4 - 5*j**3/4 + 34*