 be y(b). Factor 3/2*a**3 + 24 + i*a - 21/2*a**2.
3*(a - 4)**2*(a + 1)/2
Determine c, given that -220/7*c - 432/7 - 2/7*c**2 = 0.
-108, -2
Let g(r) be the first derivative of r**6/30 + 54*r**5/25 + 264*r**4/5 + 8704*r**3/15 + 12288*r**2/5 - 3245. Suppose g(x) = 0. Calculate x.
-16, -6, 0
Suppose -5*o + 5*f = -20, -4*o + 8*f - 5*f = -12. Determine v, given that o*v**3 + 0*v + 0*v**2 + 1/3*v**5 + 2/3*v**4 + 0 = 0.
-2, 0
Let m be ((-28)/(-8))/7 - ((-152)/16 - -7). Solve 24/5 + 88/5*q**m - 24*q**4 + 28/5*q**5 + 96/5*q**2 - 116/5*q = 0.
-1, 2/7, 1, 3
Let q = -113816 - -113822. Determine f, given that 11/2*f**2 - f**3 - q*f - 9/2 = 0.
-1/2, 3
Suppose 4*z = 16, -7585*b = -7590*b - 2*z + 23. Factor 10/17*l - 2/17*l**b + 12/17 - 4/17*l**2.
-2*(l - 2)*(l + 1)*(l + 3)/17
Let b = -733 - -741. Suppose 48*x - 51*x + 4*a - b = 0, 5*a = 2*x + 10. Factor -4*y**2 + 6/7*y - 10/7*y**3 + x.
-2*y*(y + 3)*(5*y - 1)/7
Let o be -2 - (-24)/8 - -2. Factor -7*g**3 + 22*g**2 - 10*g**2 - g**4 + 18*g**o.
-g**2*(g - 12)*(g + 1)
Suppose 3*m - 21 = -q, -71743 = -3*m + 4*q - 71767. Solve t**3 + 0 + 1/3*t**5 - 4/3*t**m - 4/3*t + 4/3*t**2 = 0.
-1, 0, 1, 2
Factor -114 + 51 - 312*b + 44*b**2 + 351.
4*(b - 6)*(11*b - 12)
Let i(y) be the second derivative of 0*y**2 - 1/4*y**4 - 1/3*y**3 - 1/20*y**5 - 3 + 2*y. Factor i(o).
-o*(o + 1)*(o + 2)
Suppose -2*t = 0, -2*t - 8 = -632*w + 630*w. Factor -4/9*y**3 + 0 + 4/9*y - 2/9*y**w + 2/9*y**2.
-2*y*(y - 1)*(y + 1)*(y + 2)/9
Let l be (-5)/((-40)/32) - (2 - 12084). Factor 3*t**5 - 8*t**2 - 12098*t**3 + t**5 + l*t**3.
4*t**2*(t - 2)*(t + 1)**2
Factor 3*t**3 + 6687*t**2 + 2*t**3 + 2310*t - 3248*t**2 - 3024*t**2.
5*t*(t + 6)*(t + 77)
Suppose 2*f + f - 42 = 0. Suppose -3*g + 10*g - f = 0. Suppose 2*a**g + a**4 + 2*a**3 - 5*a**2 + 36 - 4*a + 41 - 73 = 0. Calculate a.
-2, 1
Let l be 6 - 0 - 12996/2280. Let b(d) be the first derivative of 8/5*d**2 - 16 - 2/15*d**3 - l*d**4 - 8/5*d. Factor b(o).
-2*(o - 1)*(o + 2)*(3*o - 2)/5
Suppose 4*k - 4*f - 48 = 0, -286*f + 15 = -4*k - 289*f. Let m(o) be the first derivative of 8/5*o + 3/5*o**2 - 25 - 2/15*o**k. Solve m(u) = 0 for u.
-1, 4
Let t(z) be the first derivative of 16 + 0*z**4 - 3*z**2 + 0*z + 1/240*z**5 - 1/6*z**3. Let n(w) be the second derivative of t(w). Factor n(i).
(i - 2)*(i + 2)/4
Suppose 2835*m - 2830*m = 0. Factor -3/2*f**3 + 1/2*f**5 + 0*f**4 - f**2 + m + 0*f.
f**2*(f - 2)*(f + 1)**2/2
Let p(r) = -r**3 - 4*r**2 - 5*r. Let a be p(-2). Suppose 0 = a*d - d. Factor -3*m**2 + m + 3*m**4 + 5*m**5 - 2*m**5 - 5*m**3 + d*m**5 + m**5.
m*(m - 1)*(m + 1)**2*(4*m - 1)
Let t = 1012 - 1007. Let z(b) = b**3 - 4*b**2 + 4*b - 43. Let o be z(t). Let 6 - 3/4*p**3 - 3/2*p**o + 3*p = 0. Calculate p.
-2, 2
Let f = 20 - 22. Let u(d) = -4*d**4 + 4*d**3 - 11*d**2 - 25*d - 10. Let z(c) = c**4 - c**3 - c**2 + c + 2. Let a(j) = f*u(j) - 10*z(j). Factor a(h).
-2*h*(h - 5)*(h + 2)**2
Let k(h) be the second derivative of h**9/20160 + 3*h**8/8960 - h**7/840 - h**6/80 + 5*h**4/2 + 72*h - 1. Let w(v) be the third derivative of k(v). Factor w(f).
3*f*(f - 2)*(f + 2)*(f + 3)/4
Let f be (856*9/576 - 14)/((-10)/6). Factor 3/4*u**2 - 15/2*u + 9 + f*u**3.
3*(u - 2)**2*(u + 6)/8
Determine n so that -124*n**5 - 45*n**3 + 84*n**5 - 18*n**4 + 43*n**5 - 24*n**2 = 0.
-1, 0, 8
Let j = -2/3 - -19/24. Let a be 73/511 - (-3)/(-168). Factor 1/8*b + 0 - a*b**4 + 1/8*b**2 - j*b**3.
-b*(b - 1)*(b + 1)**2/8
Factor -3*t**2 - 189*t - 10 + 67 - 3 + 168*t.
-3*(t - 2)*(t + 9)
Let n(g) = -7*g**3 - 4*g**2 + 12*g - 13. Let t be n(-7). Let m = -2093 + t. Factor -12*s + m*s**2 + 12/5.
3*(5*s - 2)**2/5
Solve -17085*h**2 + 21210843 + 1159*h + 17088*h**2 + 14795*h = 0 for h.
-2659
Let i(a) be the first derivative of -a**6/21 + 2*a**5/5 + a**4/14 - 2*a**3/3 - 6034. Let i(q) = 0. Calculate q.
-1, 0, 1, 7
Let b = 8/3171 + 3616/3171. Suppose 24/7*d + 2/7*d**5 + 0 + b*d**2 - 18/7*d**3 + 0*d**4 = 0. Calculate d.
-3, -1, 0, 2
Let u be 8/6 - (-13590)/(-10800). Let j(q) be the second derivative of 3/2*q**2 + 13*q + 1/2*q**4 + 5/4*q**3 + 0 + u*q**5. Factor j(n).
3*(n + 1)**2*(n + 2)/2
Let t(a) be the second derivative of 44*a - 11045/12*a**2 + 0 + 235/18*a**3 - 5/72*a**4. Factor t(i).
-5*(i - 47)**2/6
Let a(g) be the third derivative of -g**8/1120 + 7*g**6/240 + 3*g**5/40 - 41*g**3/6 + 44*g**2 + 2*g. Let w(u) be the first derivative of a(u). Factor w(q).
-3*q*(q - 3)*(q + 1)*(q + 2)/2
Let i(q) be the first derivative of -3*q**4/4 - 1603*q**3 - 829. Solve i(o) = 0.
-1603, 0
Let c(q) be the second derivative of -q**7/2100 - q**6/60 - 6*q**5/25 - 9*q**4/5 + 37*q**3/3 - 2*q - 10. Let l(x) be the second derivative of c(x). Factor l(f).
-2*(f + 3)*(f + 6)**2/5
Let b(n) be the third derivative of -5/1008*n**8 - 5/72*n**4 + 1/36*n**6 + 5 + 15*n**2 + 0*n + 5/6*n**3 - 1/6*n**5 + 1/42*n**7. Let b(i) = 0. Calculate i.
-1, 1, 3
Let k(b) be the third derivative of 0*b**4 - 1/336*b**8 + 0*b**3 - 17/70*b**7 + 26*b**2 - 2*b - 45/8*b**6 - 125/12*b**5 + 0. Factor k(c).
-c**2*(c + 1)*(c + 25)**2
Let g = 24188 + -1644673/68. Let d = -9/68 + g. Solve -d*a**2 + 15/2*a + 0 = 0 for a.
0, 5
Let a(m) be the second derivative of m**4/72 + 175*m**3/6 + 91875*m**2/4 - 275*m + 17. Solve a(c) = 0.
-525
What is q in 3023*q**4 + 174*q**3 + 12*q**3 - 3291*q**4 + 70*q**5 - 36*q**2 = 0?
0, 2/5, 3/7, 3
Let r(i) be the third derivative of 0 + 5*i - 529/24*i**3 - 1/240*i**5 + 14*i**2 + 23/48*i**4. Factor r(g).
-(g - 23)**2/4
Let u = 2970025/7 - 423959. Factor -136/7*m + 2/7*m**2 + u.
2*(m - 34)**2/7
Let y(b) = -18*b + 252. Let p be y(14). Let s(w) be the second derivative of 0*w**3 + 1/60*w**5 + 11*w - 1/180*w**6 + 0 + 0*w**4 + p*w**2. Factor s(k).
-k**3*(k - 2)/6
Let j be 26 - (-22 + (-18751)/(-391)). Let k(f) be the second derivative of 1/138*f**4 + j*f**3 - 16*f + 0 + 2/23*f**2. Find p, given that k(p) = 0.
-2, -1
Suppose 7082349 = -9*z + 7082367. Find c such that -15/2*c - 9 + 1/2*c**3 + 2*c**z = 0.
-6, -1, 3
Let k(w) be the third derivative of -w**7/315 + 53*w**6/540 - 59*w**5/90 - 65*w**4/108 + w**2 - 23. Find l such that k(l) = 0.
-1/3, 0, 5, 13
Let b = 1074143/30052 + 54/7513. Factor -1/8*d**4 - b*d**2 - 4*d**3 - 225/8 - 60*d.
-(d + 1)**2*(d + 15)**2/8
Determine y so that -205*y**2 + 285/4*y**3 + 0 + 135*y - 5/4*y**4 = 0.
0, 1, 2, 54
Let x(r) = -r**2 + 8*r + 108. Let i be x(15). Find c such that -20*c**4 + 37*c**2 - 190*c**5 - 2*c - 64*c**4 + 1072*c**5 - 880*c**i + 47*c**2 = 0.
-1, 0, 1/21, 1
Let b = 2414485/3 + -804824. Let b*y**4 - 250/3*y + 0 + 15*y**3 + 1/3*y**5 - 25/3*y**2 = 0. Calculate y.
-5, 0, 2
Let t(y) be the third derivative of 0 + 0*y + 9/8*y**3 + 1/240*y**5 + 42*y**2 - 7/24*y**4. Factor t(h).
(h - 27)*(h - 1)/4
Solve -47*t**4 - 79*t**4 + 32*t**3 - 2048*t + 8192 + 124*t**4 = 0 for t.
-8, 8
Let c(d) be the first derivative of d**6/6 + 3*d**5/10 - 5*d**4/8 - 5*d**3/6 + 3*d**2/4 + d + 1000. Let c(y) = 0. Calculate y.
-2, -1, -1/2, 1
Let k(f) = -f**3 - 6*f**2 - 11*f - 22. Let d be k(-5). Let i be 1/d - 1207/(-1224). Determine g so that -8/9 - 2/9*g**2 - i*g = 0.
-4, -1
Suppose -42*y = -47*y. Let n(h) be the third derivative of -7/240*h**6 + h**2 - 2/15*h**5 + y - 11/48*h**4 - 1/6*h**3 + 0*h. Factor n(d).
-(d + 1)**2*(7*d + 2)/2
Factor -108*g - 3/5*g**2 - 537/5.
-3*(g + 1)*(g + 179)/5
Let s = -6 + 8. Let f be 25/225 - 65/(-225). Factor 6/5*p + 0 - f*p**s.
-2*p*(p - 3)/5
Let t = 14221 - 28441/2. Let c(z) be the first derivative of 4*z**3 - 1 + 0*z + 8*z**2 + t*z**4. Find y, given that c(y) = 0.
-4, -2, 0
Let o = -1112359/8510 - 160/851. Let d = o + 265/2. Find q such that d + 2/5*q**3 - 8/5*q - 2/5*q**2 = 0.
-2, 1, 2
Determine d so that -4/5*d**5 + 912/5*d - 1124/5*d**3 + 48*d**4 + 1304/5*d**2 - 352 = 0.
-1, 2, 55
Let h(b) be the third derivative of 2*b**3 + 0 - 1/15*b**5 + 0*b - 1/3*b**4 - 14*b**2. Factor h(i).
-4*(i - 1)*(i + 3)
Let x(n) be the second derivative of n**6/135 + n**5/18 - 5*n**4/54 - 5*n**3/3 - 4*n**2 + 1199*n. Determine i, given that x(i) = 0.
-4, -3, -1, 3
Let c(q) be the first derivative of 160 + 3/22*q**4 + 6/11*q**3 - 2/55*q**5 + 0*q + 5/11*q**2. What is h in c(h) = 0?
-1, 0, 5
Let b be ((-1)/2*(3 - (-39)/(-15)))/((-299)/1495). Determine l so that -3/2*l - b + 3/2*l**3 + 1/2*l**4 + 1/2*l**2 = 0.
-2, -1, 1
Let s(b) be the first derivative of -3*b**4/20 + 31*b**3/5 + 158