h(o) be the first derivative of 15/2*o**2 + 25/3*o**3 + 5/4*o**4 - 5 - 45*o. Factor h(d).
5*(d - 1)*(d + 3)**2
Let j(z) be the third derivative of -z**7/560 - 31*z**6/480 - z**5/8 - 7*z**4/8 - 4*z**2 - 12. Let k(d) be the second derivative of j(d). Factor k(f).
-3*(f + 10)*(3*f + 1)/2
Let u = 6931 - 6929. Let n(m) be the first derivative of 4/7*m - 27 - 6/7*m**3 - m**u. Suppose n(a) = 0. Calculate a.
-1, 2/9
Let b be (-169)/(-156) - 1/12. Let s(o) = -10*o**4 + 52*o**3 - 180*o**2 - 106*o + 1000. Let x(j) = j**4 + j. Let l(y) = b*s(y) + 6*x(y). Solve l(g) = 0 for g.
-2, 5
Find y, given that 2/3*y**4 - 8/3*y**3 - 58/3*y**2 - 16*y + 0 = 0.
-3, -1, 0, 8
Suppose 2013 = -9*y + 5*y - j, -4*y = -5*j + 1983. Let v = y + 504. Let 4/7*u**v + 0 - 6/7*u + 8/7*u**3 - 4/7*u**4 - 2/7*u**5 = 0. Calculate u.
-3, -1, 0, 1
Factor -203 - 116 - 110*w**2 - 183*w + 319 + 292*w**2 + w**3.
w*(w - 1)*(w + 183)
Let w = 129 + -117. Suppose w*s - 13*s + 41 = 0. Solve 19*z**2 - 25 + 10*z + 21*z**2 - s*z**2 = 0 for z.
5
Suppose 111*c**2 + 1112 - 1448 + 67*c**2 + 74*c**2 - 12*c - 3*c**4 - 75*c**3 = 0. Calculate c.
-28, -1, 2
Let l(i) be the third derivative of -i**8/840 + 13*i**7/105 - 21*i**6/50 - i**5/75 + 127*i**4/60 - 21*i**3/5 - 401*i**2 + 2*i. Find m, given that l(m) = 0.
-1, 1, 63
Let a(y) be the second derivative of y**8/448 - y**7/72 - y**6/24 - 13*y**4/12 + 5*y - 4. Let k(v) be the third derivative of a(v). Factor k(p).
5*p*(p - 3)*(3*p + 2)
Let g(d) = 20*d**3 + 800*d**2 - 830*d - 5. Let p(f) = 11*f**3 + 401*f**2 - 418*f - 3. Let b(c) = 3*g(c) - 5*p(c). Factor b(r).
5*r*(r - 1)*(r + 80)
Let z be ((11 - 6) + -4)*(102 - 0). Let p = z - 18. Solve 36*j**2 + p - 20 - 4*j**3 - 108*j + 44 = 0 for j.
3
Let a = -72116 + 72119. Find w such that -1/2*w**2 + 5/2*w + a = 0.
-1, 6
Let q(d) = d**2 + 18*d + 39. Let s be q(-21). Determine k so that -2*k**5 - 540*k**3 + 332*k**4 - 62*k + 24 + 588*k**2 - s*k - 160*k**2 - 78*k**5 = 0.
2/5, 3/4, 1
Let v be (-24)/(-32)*4 - (-36)/(-1). Let n = -30 - v. Factor 12*t**2 - 6*t**4 + t**5 + 12*t + 7 + 2*t**5 - 9*t**n - 7.
3*t*(t - 2)**2*(t + 1)**2
Let v(a) be the second derivative of -1/360*a**6 - 25*a - 1/24*a**4 - 1/45*a**5 - 13*a**2 + 0 + 0*a**3. Let b(f) be the first derivative of v(f). Factor b(u).
-u*(u + 1)*(u + 3)/3
Let t(u) be the second derivative of u**6/1980 - u**5/220 - u**4/33 - 29*u**3/6 - 7*u + 4. Let z(l) be the second derivative of t(l). Factor z(n).
2*(n - 4)*(n + 1)/11
Let a(z) be the first derivative of -z**7/1400 - z**6/600 + z**5/100 - 26*z**3 - 83. Let q(r) be the third derivative of a(r). Factor q(k).
-3*k*(k - 1)*(k + 2)/5
Suppose 3*q + 4*r = -5, -7*q - 4*r = -12*q + 45. Let p = -293 - -2057/7. Solve 8/7*w**3 + 0*w**4 - 2/7*w**q - p*w - 4/7 + 4/7*w**2 = 0.
-1, 1, 2
Let h = 2294003/5 - 458787. Factor -h - 64/5*q + 4/5*q**2.
4*(q - 17)*(q + 1)/5
Factor -135/4*w + w**2 - 17/2.
(w - 34)*(4*w + 1)/4
Let w(j) be the first derivative of -3*j**5/5 + 1035*j**4/2 - 2064*j**3 + 3093*j**2 - 2061*j - 5354. Determine z so that w(z) = 0.
1, 687
Let a = 246047/92271 + 3/30757. Factor -a - 9*m + 79/6*m**2 - 3/2*m**3.
-(m - 8)*(m - 1)*(9*m + 2)/6
Let j be (-45)/(-30) + (-2)/(-4). Suppose 4*i - 7 - 1 = 0. Factor 4*g - 36*g**2 - i + 71*g**j - 37*g**2.
-2*(g - 1)**2
Let r be (6/9)/(1518/2070). Solve -32/11*p + r + 6/11*p**2 = 0.
1/3, 5
Let a(q) be the first derivative of 27/14*q**2 + 55 - 27/28*q**4 + 2/7*q**3 - 6/7*q. Factor a(m).
-3*(m - 1)*(m + 1)*(9*m - 2)/7
Let j(f) be the second derivative of -f**4/6 + 1546*f**3/3 + 2*f - 3873. Determine i, given that j(i) = 0.
0, 1546
Let t(o) be the second derivative of -o**7/6 - 569*o**6/90 - 1719*o**5/20 - 1755*o**4/4 - 81*o**3 - 1306*o. Factor t(d).
-d*(d + 9)**3*(21*d + 2)/3
Suppose -12 = -g - 19*g + 16*g. Factor 0*k - 1/5*k**g + 1/5*k**2 + 0.
-k**2*(k - 1)/5
Suppose 1637 = 121*y - 178. Let s(z) be the third derivative of 1/24*z**4 + 0*z**3 + 0*z + y*z**2 + 1/120*z**5 + 0. Let s(f) = 0. What is f?
-2, 0
Let a(b) = -b**3 - b**2 + 3*b. Let i(f) = 2*f**4 + 10*f**3 + 8*f**2 - 12*f. Let t(n) = -4*a(n) - i(n). Factor t(s).
-2*s**2*(s + 1)*(s + 2)
Let a(v) be the third derivative of -1/300*v**6 + 0*v + 0 - 169*v**2 - 1/525*v**7 - 2/15*v**3 + 1/60*v**4 + 1/50*v**5. Find h such that a(h) = 0.
-2, -1, 1
Let g(n) = 15*n + 23*n - 44*n - 2. Let a be g(-3). Find i such that -a + 33*i**3 + 66*i**3 - 12*i**4 - 132*i**2 - 23*i**3 + 84*i = 0.
1/3, 1, 4
Let f = 6906 - 6783. Let c(m) = -m. Let a be c(-2). Suppose 12*s**a - 3*s**4 + f*s - 123*s - 9*s**3 = 0. What is s?
-4, 0, 1
Let c = 479100 - 479098. Factor 20/3*y**5 - 176/3*y**4 - 144*y**c + 0 - 36*y + 168*y**3.
4*y*(y - 3)**3*(5*y + 1)/3
Let y(p) be the first derivative of -2*p**5/15 + 16*p**4 - 6128*p**3/9 + 12160*p**2 - 288800*p/3 + 453. Factor y(l).
-2*(l - 38)**2*(l - 10)**2/3
Let j(u) = 12*u + u**2 + 6*u + 3 - 28. Let o(y) = 2*y**2 + 18*y - 24. Let b(a) = -4*j(a) + 3*o(a). Factor b(l).
2*(l - 7)*(l - 2)
Let s = 84064/3603 - -2/1201. Let g(l) be the second derivative of 11/3*l**4 + 0 + 1/5*l**5 + 50*l**2 + s*l**3 - 23*l. Find v, given that g(v) = 0.
-5, -1
Suppose 64 = -20*b - 76. Let a(f) = 9*f**3 - 3*f**2 - 3*f - 3. Let p(l) = -11*l**3 + 2*l**2 + 2*l + 3. Let d(n) = b*a(n) - 6*p(n). Find g such that d(g) = 0.
-1
Suppose 1495*s - 1498*s = 5*n - 33, 5*s - 39 = -3*n. Determine w so that -4*w + w**2 + 1/2*w**n + 0 = 0.
-4, 0, 2
Let n(k) = -54*k + 432. Let j be (20 - 10) + (2/2 - 3). Let r be n(j). Factor 1/5*h**3 + 0*h + 2/5*h**2 - 1/5*h**4 + r.
-h**2*(h - 2)*(h + 1)/5
Let r = -73 - -69. Let k be (60/(-21))/r + 3/7. Factor k + 0*o - 2/7*o**2.
-2*(o - 2)*(o + 2)/7
Let x = -47192/11 + 4287. Let b = x - -127/33. Factor -2/3 + 2/9*l + b*l**2 - 2/9*l**3.
-2*(l - 3)*(l - 1)*(l + 1)/9
Suppose 26 = 4*u - 34. Factor 840 + 35*t**2 + u*t**4 + 10*t - 840 + 40*t**3.
5*t*(t + 1)**2*(3*t + 2)
Let c(d) be the second derivative of -d**6/105 - d**5/10 + 79*d**4/14 - 449*d**3/21 + 220*d**2/7 + 9957*d. Suppose c(n) = 0. What is n?
-20, 1, 11
Factor -28/5 - 12/5*c**2 + 2/15*c**3 - 122/15*c.
2*(c - 21)*(c + 1)*(c + 2)/15
Let z(d) be the second derivative of -d**3/3 - 31*d**2 + 2*d - 300. Let i be z(-32). Factor 3/2*s**i + 2 - 13/2*s.
(s - 4)*(3*s - 1)/2
Let b(t) be the first derivative of t**5/180 + t**4/72 - t**3/9 - 25*t**2/2 - 43. Let q(w) be the second derivative of b(w). Factor q(n).
(n - 1)*(n + 2)/3
Let h(s) be the second derivative of s**6/6 + 7*s**5 - 5*s**4/4 - 215*s**3/3 - 140*s**2 + 115*s - 5. What is z in h(z) = 0?
-28, -1, 2
Let q(x) be the first derivative of x**3/6 + 581*x**2/2 + 337561*x/2 - 718. Factor q(b).
(b + 581)**2/2
Find a, given that 760437500/7*a - 1983750/7*a**2 + 2300/7*a**3 - 1/7*a**4 - 109312890625/7 = 0.
575
Let u = 27905 - 251141/9. Let g(l) be the second derivative of 0 + 1/9*l**4 + 36*l + u*l**3 - 2*l**2. Factor g(y).
4*(y - 1)*(y + 3)/3
Let v be (-42)/((-7560)/225)*4. Let 6/5*k**3 + 1/5*k + 0 - 4/5*k**2 + 1/5*k**v - 4/5*k**4 = 0. What is k?
0, 1
Let p(o) = 9*o - 4*o**2 - o + 3*o**2. Let w(b) = 6*b - 14*b**2 + 9*b**2 + 3*b**2 + 14*b. Let g(c) = 12*p(c) - 5*w(c). Factor g(h).
-2*h*(h + 2)
Let q(k) be the second derivative of -4 + 1/10*k**4 + 1/225*k**6 - 7/45*k**3 + 7/150*k**5 - 5*k - 2/3*k**2. Determine o so that q(o) = 0.
-5, -2, -1, 1
Let s = 637 + -635. Let x be 204/84 - s - (-3)/91. Factor 42/13*i - 18/13 - 12/13*i**3 + 2/13*i**5 - 20/13*i**2 + x*i**4.
2*(i - 1)**3*(i + 3)**2/13
Suppose a - 6*a = 2*p + 17, 0 = -5*a + 5*p - 10. Let t be (969/(-38))/((a/8)/1). Factor 3 - 3 + 9*d**2 + t*d**3 - 6*d - 53*d**3.
3*d*(d + 1)*(5*d - 2)
Let n(l) be the third derivative of -124*l**2 + 1/75*l**5 + 0*l**3 + 1/300*l**6 + 0 + 1/60*l**4 + 0*l. Factor n(h).
2*h*(h + 1)**2/5
Let t(p) be the third derivative of -11/25*p**5 - 512/15*p**3 + 2*p**2 + 134 + 1/150*p**6 + 0*p + 48/5*p**4. Factor t(k).
4*(k - 16)**2*(k - 1)/5
Let t(j) be the first derivative of -19*j - 21 - 1/6*j**4 + 0*j**2 + 1/9*j**3 - 1/45*j**6 + 1/10*j**5. Let h(s) be the first derivative of t(s). Factor h(r).
-2*r*(r - 1)**3/3
Suppose -259*g = -282*g - 39629. Let k = g - -1725. Factor 2/5*y**2 - 12/5*y + k.
2*(y - 5)*(y - 1)/5
Let t(y) be the second derivative of 0 - 1/60*y**5 + 1/180*y**6 - 109*y + 1/12*y**2 - 1/36*y**4 + 1/252*y**7 + 1/36*y**3. Factor t(a).
(a - 1)**2*(a + 1)**3/6
Suppose -