299 - 5*d**2 - 1034529 + 8820*d + 645816 - 2694608 = 0. Calculate d.
882
Let x be (45/6)/(16/32). Solve -50*g**2 + 89*g + x*g**4 + 5*g**5 + 60*g**3 - 141*g + 67*g - 45*g**4 = 0 for g.
0, 1, 3
Let j(b) = -175*b + 1227. Let w be j(7). Solve 4/3*f**w - 14/3*f - 8/3 = 0.
-1/2, 4
Let k(y) = 2*y**2 - 24*y - 218. Let z be k(-6). Let n be (132/176)/(z/(-8)). Factor 1/4*d**4 - 9/2*d + 0*d**n - 2 - 11/4*d**2.
(d - 4)*(d + 1)**2*(d + 2)/4
Factor 2582 - 1495 - 4*q**2 + 288*q - 1647.
-4*(q - 70)*(q - 2)
Let k = -481951 + 481953. Factor 1/2*o**k - 37*o + 1369/2.
(o - 37)**2/2
Let i be 1 + 11 + 236/(-12) - -9. Let m(d) be the first derivative of -16/9*d**3 + 0*d + 26 + 1/6*d**4 + i*d**2 + 2/5*d**5. Suppose m(h) = 0. Calculate h.
-2, 0, 2/3, 1
Let p be ((-39)/(-26))/(3/4). Let q be (-20)/(-4)*p/5. Factor 7*k + 8*k + 10 - 4 + 0*k**q + 9*k**2 - 3*k**4 - 3*k**3.
-3*(k - 2)*(k + 1)**3
Let w(l) = -l**2 + 129*l - 3885. Let v be w(48). What is d in 8/3*d**4 - 14/3*d**2 - 10/3*d**v + 0 + 4/3*d = 0?
-1, 0, 1/4, 2
Let z(c) be the second derivative of c**4/30 - 641*c**3/15 + 1278*c**2/5 + 2*c + 1424. Find t, given that z(t) = 0.
2, 639
Let g(m) be the first derivative of -28/3*m**3 + 0*m**2 - 4/5*m**5 + 0*m - 34 - 8*m**4. Factor g(u).
-4*u**2*(u + 1)*(u + 7)
Let w(m) = -m**2 - 7003*m - 14002. Let o be w(-2). Solve 16/5*h + o + 196/5*h**3 - 112/5*h**2 = 0.
0, 2/7
Find a, given that -6972*a - 1702 + 5408*a + 142 - 4*a**2 = 0.
-390, -1
Let a = 11090785/2437 + -4551. Let x = a + 80429/9748. Solve x*s**2 + 10*s + 1/4*s**4 + 5/2*s**3 + 4 = 0 for s.
-4, -1
Let s(i) be the first derivative of 2*i**5/55 + 7*i**4/11 + 2*i**3 - 4*i**2/11 - 8*i + 527. Suppose s(w) = 0. Calculate w.
-11, -2, 1
Let f be -2*((-20)/(-28))/(72/(-21)). Let m(h) be the second derivative of -f*h**4 + 18*h + 5/2*h**3 + 10*h**2 + 0. Find u, given that m(u) = 0.
-1, 4
Let x = 230038/73 - 3151. Let k = x + 101/219. Factor k*q**4 - 4*q**2 + 2/3*q**3 + 0 + 0*q.
2*q**2*(q - 2)*(q + 3)/3
Let y(v) be the second derivative of v**5/75 - 16*v**4/15 + 66*v**2 + 97*v. Let i(f) be the first derivative of y(f). Factor i(g).
4*g*(g - 32)/5
Let f(u) be the first derivative of u**4/14 + 682*u**3/21 + 4225*u**2 + 171366*u/7 - 2390. Suppose f(t) = 0. Calculate t.
-169, -3
Let v be (-4)/78 - 16830/(-27027). Factor v*x**2 - 4/7 - 2/7*x + 2/7*x**3.
2*(x - 1)*(x + 1)*(x + 2)/7
Suppose -2*a - 3*a = 75. Let u be (-1)/(-2 + a/(-10)). Factor -8*r**2 + 5*r**4 - 5*r + 39 - 6*r**u + 5*r**3 - r**2 - 29.
5*(r - 1)**2*(r + 1)*(r + 2)
Suppose -6 = -2*w, -5*w - 22 = -5*g - 4*w. Solve 1 + 9*b**2 + 2 - g*b + 1 - 8*b**2 = 0 for b.
1, 4
Let n = 2933/940 - 549/188. Let 16/5*d**3 - 144/5 + 192/5*d - 88/5*d**2 - n*d**4 = 0. Calculate d.
2, 6
Let y(l) be the first derivative of -4 - 4/21*l**3 - 16384/7*l - 256/7*l**2. Solve y(p) = 0 for p.
-64
Let z(d) be the first derivative of -168 + 4802/9*d + 98/9*d**2 + 2/27*d**3. Factor z(a).
2*(a + 49)**2/9
Factor 66/7*s + 36/7 + 10/7*s**2.
2*(s + 6)*(5*s + 3)/7
Let f(r) = 3*r - 15. Let b be f(6). Suppose -u + b*y = 7, -4*y = 2*u - y - 13. Factor 14 - 3 - 3 + 18*d**2 - u*d**3 + 2*d**4 - 22*d - 4*d**4.
-2*(d - 1)**3*(d + 4)
Suppose g - 4*a = 3, 3*g = 2*a + 13 - 4. Let q(d) be the second derivative of 5*d - 1/36*d**4 - 2/3*d**2 + 5/18*d**g + 0. Suppose q(h) = 0. Calculate h.
1, 4
Factor -2592*a + 7 - 2801636*a**2 - 135 - 40*a**3 + 2800994*a**2.
-2*(a + 8)**2*(20*a + 1)
Let s(o) = 2572*o - 10286. Let t be s(4). Solve -w**t + 0 - 1/10*w**3 - 5/2*w = 0 for w.
-5, 0
Suppose 0 = 2*n + 4*s + 86 - 104, 4*n - 5*s - 36 = 0. Factor -12 + 3*f**2 + 45/2*f + 3/2*f**5 + n*f**4 - 24*f**3.
3*(f - 1)**3*(f + 1)*(f + 8)/2
Let o = 9/38 + 277/114. Let k(f) be the first derivative of -7*f**4 - 3/2*f**6 - o*f**3 - 6*f**5 - 22 + 0*f + 0*f**2. Let k(b) = 0. What is b?
-2, -2/3, 0
Let q be (-570792)/660 + -1*(-4)/(-5). Let z = q - -866. Determine j so that 6/11*j**3 + z*j - 2/11*j**4 + 0 + 10/11*j**2 - 2/11*j**5 = 0.
-1, 0, 2
Let k(o) be the first derivative of -216*o**2 + 648*o - 94 - 2/5*o**5 + 6*o**3 - 1/9*o**6 + 15/2*o**4. Suppose k(y) = 0. What is y?
-6, 3
Let j(p) be the second derivative of -p**8/8736 - p**7/16380 + 2*p**4/3 + p**2/2 + 161*p. Let k(c) be the third derivative of j(c). Factor k(s).
-2*s**2*(5*s + 1)/13
Let w be (131/220 + (-300)/550)*13/2. Let p(b) be the third derivative of -8*b**2 + 1/20*b**6 + 0 - w*b**5 + 11/16*b**4 + 0*b - 1/2*b**3. Factor p(s).
3*(s - 2)*(s - 1)*(4*s - 1)/2
Let l be 20*(-114)/168*-1. Let v = -257/21 + l. Let 5/3 - 1/3*a**2 - v*a = 0. Calculate a.
-5, 1
Let k(t) be the third derivative of 2*t**2 + 0 - 1/54*t**4 - 4/9*t**3 + 19*t + 1/135*t**5. Solve k(g) = 0 for g.
-2, 3
Let t = -19676/3 + 6560. Let -37/3*o**2 + 8*o - t - 4/3*o**4 + 7*o**3 = 0. Calculate o.
1/4, 1, 2
Suppose -64 = -10*h - 44. Let b be 6 - (7/h - -2). Factor 1/2*x**2 - 3 - b*x.
(x - 3)*(x + 2)/2
Let g be ((-1218)/464)/((-36)/736). What is r in 265600/3*r**2 + 1/3*r**5 + g*r**4 + 9760/3*r**3 + 2560000/3 + 2816000/3*r = 0?
-40, -1
Let c = -247 + 276. Factor -c*o**3 - 12*o**2 - 4*o**3 - o**2 - 5*o**5 - 2*o**2 - 2*o**3 - 25*o**4.
-5*o**2*(o + 1)**2*(o + 3)
Let b = 477 - 474. Let q(n) be the first derivative of 4*n - 8/3*n**b - 8 + 4/5*n**5 + 0*n**2 + 0*n**4. Factor q(k).
4*(k - 1)**2*(k + 1)**2
Let x be 6/(-546)*10*-14. Let u = -154/117 + x. Factor -2/9 + u*g**2 + 2/9*g - 2/9*g**3.
-2*(g - 1)**2*(g + 1)/9
Let o(j) be the second derivative of j**7/21 + 7*j**6/5 - 23*j**5/10 - 7*j**4/2 + 22*j**3/3 - 1862*j. Let o(p) = 0. Calculate p.
-22, -1, 0, 1
Let g be 161/42 - (-80)/480. Determine d, given that -9*d**3 + 3 - d**g - 6*d**2 + 7/2*d + 3/2*d**5 = 0.
-1, 2/3, 3
Let v(x) be the first derivative of 2/3*x**3 - 1/16*x**4 + 0*x - 166 + 0*x**2. Factor v(k).
-k**2*(k - 8)/4
Let a be ((-39)/6 + 5)*(0 + -2). Suppose -2*r + 21 = -45. Factor -21*k + 12 - 3*k**2 + r*k + a.
-3*(k - 5)*(k + 1)
Let h(d) be the first derivative of d**4/28 - 108*d**3/7 - 654*d**2/7 - 1312*d/7 - 6304. Suppose h(i) = 0. What is i?
-2, 328
Factor 2/9*k**4 - 4/3*k**3 + 0*k + 16/9*k**2 + 0.
2*k**2*(k - 4)*(k - 2)/9
Let b be 2 - 9 - (-103 + 92). Let 0 + 7/4*a**3 + 2*a**2 - b*a + 1/4*a**4 = 0. Calculate a.
-4, 0, 1
Let z(s) = -5*s**3 - 1815*s**2 - 547215*s - 55087192. Let t(i) = 4*i**3 + 1814*i**2 + 547218*i + 55087200. Let h(u) = 3*t(u) + 2*z(u). Factor h(n).
2*(n + 302)**3
Factor 43/5*q**2 + 0 + 13/5*q**3 + 18/5*q - 2/5*q**4.
-q*(q - 9)*(q + 2)*(2*q + 1)/5
Let i(p) be the third derivative of p**8/48 - 17*p**7/210 - 11*p**6/40 + 13*p**5/12 + p**4/12 - 4*p**3 - 415*p**2 + 2*p. Determine n so that i(n) = 0.
-2, -4/7, 1, 3
Let r(t) = 6*t**2 - 31*t + 14. Let g = -46 - -34. Let x = g + 10. Let o(z) = -z**2 + 6*z - 3. Let k(y) = x*r(y) - 11*o(y). Factor k(q).
-(q - 1)*(q + 5)
Let s(c) be the third derivative of 13*c**5/12 - 25*c**4/24 - 80*c**3/3 - c**2 + 59*c. Let d(f) = -8*f**2 + 3*f + 20. Let i(h) = 25*d(h) + 3*s(h). Factor i(b).
-5*(b - 2)*(b + 2)
Let a be ((-120)/200)/((-9)/12378). Let c = -822 + a. What is g in -1/10*g**3 - g**2 - 16/5 - c*g = 0?
-4, -2
Let r(u) be the first derivative of -2*u**6/3 - 88*u**5/5 - 21*u**4 + 5488*u**3/3 + 2744*u**2 + 920. Find j such that r(j) = 0.
-14, -1, 0, 7
Let t(z) be the third derivative of z**6/120 - 77*z**5/60 + 143*z**2 - 5*z - 3. Determine f so that t(f) = 0.
0, 77
Let x be ((-615)/3157)/((-3)/11)*250. Suppose 96/7*z**3 - 2400/7*z + 1052/7*z**2 + 2/7*z**4 + x = 0. Calculate z.
-25, 1
Factor -75*d - 4*d**3 - 61*d - 76*d + 32*d**2 - 152*d**2 + 336.
-4*(d - 1)*(d + 3)*(d + 28)
Let o be 1600/(-4) + (4 - -6). Let j be 6/26 - 118/o. Let 2/5*n**2 + 8/15*n + 2/15*n**4 - 8/15 - j*n**3 = 0. What is n?
-1, 1, 2
Let l(i) be the second derivative of -2/5*i**6 + 2*i**2 - 2/21*i**7 - 2/5*i**5 + 2*i**3 + 79*i + 2/3*i**4 + 0. Factor l(g).
-4*(g - 1)*(g + 1)**4
Factor 13*b**3 - 18 + 817*b**2 - 409*b**2 - 407*b**2 - b**4 - 33*b - 2*b**4.
-(b - 3)**2*(b + 1)*(3*b + 2)
Let v(a) be the third derivative of 5*a + 0 - 1/10*a**6 + 1/105*a**7 + 2/5*a**5 - 5/6*a**4 + 5*a**2 + a**3. Let v(i) = 0. Calculate i.
1, 3
Let u(f) be the third derivative of f**5/20 - 1473*f**4/4 + 2169729*f**3/2 - 88*f**2 - 11*f - 2. What is i in u(i) = 0?
1473
Let h = 537048 - 1611139/3. Solve 2 + 1/3*a**2 + h*a = 0.
-3, -2
Let -5 - 23*f**2 + 25*f**2 - 62*f + 186 - 1685 = 0. What