**5 + 0*s**3. Find a such that m(a) = 0.
0, 3
Let q(a) be the first derivative of 7*a**3/12 + 51*a**2/8 + 7*a/2 - 6664. Factor q(y).
(y + 7)*(7*y + 2)/4
Solve -4*p**2 + 39695*p + 44822*p - 2768896 - 91173*p = 0 for p.
-832
Let o be ((-14)/(-6) - -1) + (-508)/381. Find g such that -o - 2/5*g**2 + 12/5*g = 0.
1, 5
Let u(k) be the third derivative of 2*k**7/105 - 593*k**6/30 + 197*k**5/5 + 593*k**4/6 - 1184*k**3/3 - 334*k**2 + 2. Factor u(t).
4*(t - 592)*(t - 1)**2*(t + 1)
Let b(g) be the second derivative of 20*g**5 - 160*g**4 - 66*g**3 - 10*g**2 - 185*g. Suppose b(f) = 0. What is f?
-1/10, 5
Let s(u) be the second derivative of -112*u**6/135 - 212*u**5/45 + 35*u**4/18 + 34*u**3/27 - 8*u**2/9 - 1065*u. Let s(m) = 0. Calculate m.
-4, -2/7, 1/4
Let u(b) = 99*b**4 - 56*b**3 + 397*b**2 + 416*b. Let f(i) = -35*i**4 + 19*i**3 - 133*i**2 - 139*i. Let z(l) = 17*f(l) + 6*u(l). Factor z(y).
-y*(y - 7)*(y + 1)*(y + 19)
Suppose -b = -4, 4*v - 5*b - 56 = -3*b. Let z(t) = -t**3 + 16*t**2 + 3*t + 7. Let g be z(v). Factor -61 - 3*l - g + 118 + l**2.
(l - 2)*(l - 1)
Let b(h) be the first derivative of h**9/756 + h**8/84 + 2*h**7/105 - h**3/3 + 51*h + 48. Let m(y) be the third derivative of b(y). Factor m(o).
4*o**3*(o + 1)*(o + 4)
Let h(i) be the third derivative of i**6/120 + i**5/15 - 13*i**4/6 + 40*i**3/3 + 90*i**2 - 5*i. Let h(k) = 0. What is k?
-10, 2, 4
Let m = 97 + -95. Factor -56*a - 2 - 453*a**2 + 449*a**2 + m.
-4*a*(a + 14)
Let p(v) = -45*v**3 + 2*v**2 - 7*v + 6. Let q be p(1). Let a be ((-36)/q + -1)/((-4)/44). Let 10/7*b**2 - 18/7*b - a*b**4 + 4/7 + 18/7*b**3 = 0. What is b?
-1, 2/7, 1
Suppose -i + 34 = 5*r + 2*i, -5*r + 16 = -3*i. Factor r + 77*n - 145*n + 5*n**3 + 5 + 53*n.
5*(n - 1)**2*(n + 2)
Solve -681/2 + 1/2*t**2 + 340*t = 0 for t.
-681, 1
Let r(c) = -25*c**3 - c**2 - 1. Let g be r(1). Let u be ((-2)/(-6))/(g/(-324)). Factor 2*k**4 - 2*k - 2/5*k**5 - u*k**3 + 4*k**2 + 2/5.
-2*(k - 1)**5/5
Let c(u) = -4*u**2 - 2861*u + 37871. Let f be c(13). Solve f*q**2 + 56/9 + 20/3*q + 1/9*q**3 = 0.
-14, -2
Determine b so that -133*b + 1758*b - 2136 - 200*b + b**2 + 2*b**2 + 708*b = 0.
-712, 1
Let n(u) = -7*u**3 - u**2 + u - 4. Let q(i) = -40*i**3 - 155*i**2 - 830*i - 710. Let h(o) = 5*n(o) - q(o). Factor h(s).
5*(s + 1)*(s + 6)*(s + 23)
Suppose 0 = 3*i - 128 + 119. Factor -l - 159*l**i + 155*l**3 + 5*l.
-4*l*(l - 1)*(l + 1)
Let p be 1 + 34/(-28) - ((-628425)/2058)/95. Factor -64/5 + 64/15*c - 2/15*c**p + 4/15*c**2.
-2*(c - 4)**2*(c + 6)/15
Let q = -70 + 71. Let p(b) = 1. Let c(s) = -35*s**2 + 25*s + 5. Suppose 0 - 15 = -3*w. Let d(y) = q*c(y) + w*p(y). What is f in d(f) = 0?
-2/7, 1
Factor 0*g - 46*g**2 + 0 + 1/3*g**4 + 67/3*g**3.
g**2*(g - 2)*(g + 69)/3
Let k(v) = -31*v + 44. Let p be k(-20). Suppose -2*t - 6*t = -p. Solve 96*n**2 - 1 - 85*n + t - 32*n**3 - 18 + 4*n**4 - 43*n = 0 for n.
2
Let g = -35279/24 - -1470. Let w(p) be the second derivative of 0*p**2 + 22*p - g*p**4 - 1/6*p**3 + 1/20*p**5 + 0 + 1/60*p**6. Let w(d) = 0. Calculate d.
-2, -1, 0, 1
Let l(w) = w**2 + 6*w + 2. Let v be l(-6). Let f be ((8928/240)/31)/((-9)/(-30)). Factor 14/3*b - f - 2/3*b**v.
-2*(b - 6)*(b - 1)/3
Suppose 4*k + 8 = 4*o, -k - 2*o + 0*o + 10 = 0. Let w(m) be the first derivative of -3 + 0*m + 1/36*m**3 + 1/8*m**k. Solve w(c) = 0 for c.
-3, 0
Find g, given that 857*g**3 - 803*g**3 - 608*g**2 - 120*g + 20*g**4 - 2*g**5 - 520*g = 0.
-5, -1, 0, 8
Let r = -21429 - -235927/11. Let l = 1238/11 + -112. Determine a, given that 96/11*a**4 + 8/11 + 48/11*a + l*a**2 - r*a**3 = 0.
-1/4, 2/3, 2
Let l(j) = -3*j + 45. Let m be l(12). Suppose -m = -6*g + 3. Factor -1/3*n**4 - 1/3*n**g - 2/3*n**3 + 0 + 0*n.
-n**2*(n + 1)**2/3
Factor -6376/17*g - 1270418/17 - 8/17*g**2.
-2*(2*g + 797)**2/17
Suppose 69*k - 66*k = 2*r - 14, 2*r = -2*k + 4. Let b(x) be the third derivative of 0*x + 14*x**2 + 0 - 1/8*x**r - x**3 + 1/20*x**5. Factor b(a).
3*(a - 2)*(a + 1)
Let p = 36839/4 - 9209. Let g(h) be the second derivative of -6*h + p*h**4 + 0 - 3/2*h**2 + h**3. Suppose g(a) = 0. Calculate a.
-1, 1/3
Let n = -1132 + 1171. Let k be (n/208)/(12/16). Factor 0*g - 3/4*g**3 + 0 + 0*g**2 - k*g**4.
-g**3*(g + 3)/4
Let w(h) = -h - 32. Let n be w(-21). Let q(g) = -4*g - 40. Let j be q(n). Factor -j*s**3 + 36/5*s + 0 - 12/5*s**2 - 4/5*s**4.
-4*s*(s - 1)*(s + 3)**2/5
Let q = 150 - 156. Let y(a) = -a**2 + a - 1. Let g(z) = z**3 + 2*z - 6. Let i(t) = -t + 3. Let v be i(1). Let k(n) = q*y(n) + v*g(n). Factor k(p).
2*(p - 1)*(p + 1)*(p + 3)
Let w(a) be the second derivative of 0 + 15/8*a**2 + 189*a + 1/16*a**4 + 3/4*a**3. Factor w(d).
3*(d + 1)*(d + 5)/4
Let d(k) be the third derivative of k**2 - 1922/27*k**3 + k - 1/135*k**5 - 31/27*k**4 + 0. Suppose d(w) = 0. Calculate w.
-31
Let n be (141/94)/((-2)/(-4) + 0). Factor 12*j**3 + 18*j**n - 2491*j**2 + 52*j + 18 - 3*j + 38*j + 2590*j**2.
3*(j + 1)*(j + 2)*(10*j + 3)
Suppose 383*n - 322*n = 0. Let q(z) be the third derivative of n*z + 4/15*z**4 - 13/450*z**5 - 4/5*z**3 + 0 + 17*z**2 + 1/900*z**6. Suppose q(i) = 0. What is i?
1, 6
Let g(f) = 4*f**4 - 1. Let i(l) = l**5 - 412*l**4 + 45365*l**3 - 89042*l**2 - 3. Let m(r) = 6*g(r) - 2*i(r). Factor m(b).
-2*b**2*(b - 211)**2*(b - 2)
Factor -13876 + 6925 - z**2 + 4*z**2 + 6876.
3*(z - 5)*(z + 5)
Let u = 25 - 34. Let w(s) = 2*s**2 + 20*s + 20. Let b be w(u). Factor 4*h**3 - 3*h**b + 10 - 12*h + 17*h**2 + 2*h**2 - 82.
4*(h - 2)*(h + 3)**2
Let t(c) be the first derivative of -c**3/3 - 2*c**2 + 5*c + 688. Factor t(w).
-(w - 1)*(w + 5)
Solve -2/5*q**3 + 52/5 - 82/5*q + 32/5*q**2 = 0.
1, 2, 13
Let o be ((-156)/54 - -7) + -7 + 3. Let w(v) be the third derivative of -1/6*v**3 + 0*v + 1/60*v**5 - o*v**4 + 0 + 8*v**2. Suppose w(u) = 0. What is u?
-1/3, 3
Let h(s) = 95*s**3 - 24*s**2 - 116*s - 144. Let z(o) = -111*o**3 + 24*o**2 + 116*o + 144. Let x(m) = -7*h(m) - 6*z(m). Let x(a) = 0. What is a?
-18, -4, -2
Suppose -3*u + 247 = -u + 5*f, -u - f = -122. Suppose -y - 13*y + 210 = 0. Determine p, given that -112 + 12*p + y*p**2 + u + 13*p - p = 0.
-1, -3/5
What is u in 0 - 4/5*u**3 + 84/5*u**2 + 72/5*u - 4/5*u**5 - 4*u**4 = 0?
-3, -1, 0, 2
Factor 439*j**2 - j**3 + 402*j**2 - 368*j + 364 - 746*j**2.
-(j - 91)*(j - 2)**2
Let o be 21/30*4/7. Let j(k) be the first derivative of -o*k**2 - 1/15*k**3 - 12 - 3/5*k. Factor j(x).
-(x + 1)*(x + 3)/5
Let r(o) be the third derivative of 1/40*o**5 + 0*o - 11/8*o**4 + 121/4*o**3 + 0 + 13*o**2. Find s such that r(s) = 0.
11
Suppose -y = 6, 6*s + 4*y - 63 = 9*y - 9. Factor 0 - 12/5*v**s + 0*v + 16/5*v**3 - 4/5*v**5 + 0*v**2.
-4*v**3*(v - 1)*(v + 4)/5
Suppose -19 + 21 = 2*b. Let q be (-3 - -2 - -5) + b. Let -7*t**2 + 10*t**2 - 9 - q*t - t = 0. Calculate t.
-1, 3
Solve 9*f**2 + 117*f + 18*f**3 - 21*f**2 + 0*f**5 - 132*f + 12*f**4 - 3*f**5 + 0*f**5 = 0 for f.
-1, 0, 1, 5
Let q(u) be the second derivative of u**7/6300 + u**6/1800 - 13*u**4/4 - 92*u - 2. Let r(p) be the third derivative of q(p). What is w in r(w) = 0?
-1, 0
Let l(d) be the first derivative of d**6/60 - 31*d**5/10 + 961*d**4/4 - 29791*d**3/3 - 5*d**2 + 95. Let f(z) be the second derivative of l(z). Solve f(j) = 0.
31
Determine k so that 22/9*k - 28/3 + 2/9*k**2 = 0.
-14, 3
Determine i so that 0 + 14/3*i - 2/3*i**2 - 7/6*i**3 + 1/6*i**4 = 0.
-2, 0, 2, 7
Let g be 40426/(-119) + (-4)/14. Let x be 2/7 + g/(-35). Factor x + 5*i**3 - 10*i**2 + 18*i + 19*i - 42*i.
5*(i - 2)*(i - 1)*(i + 1)
Let u(s) be the third derivative of -s**7/2520 + 109*s**6/1440 + 37*s**5/80 + 335*s**4/288 + 14*s**3/9 - 53*s**2 + 7*s - 3. Factor u(p).
-(p - 112)*(p + 1)**3/12
Let l(k) = -7*k**3 + 393*k**2 - 7608*k - 8002. Let t(m) = -85*m**3 + 4715*m**2 - 91300*m - 96025. Let u(s) = 25*l(s) - 2*t(s). Factor u(b).
-5*(b - 40)**2*(b + 1)
Let d(s) = -303*s + 4245. Let m be d(14). Factor -1/3*g**2 + g**m - 1/3*g**4 + 2/3 - g.
-(g - 2)*(g - 1)**2*(g + 1)/3
Factor 2/9*u**2 - 28/3*u + 82/9.
2*(u - 41)*(u - 1)/9
Let q(f) be the second derivative of -f**5/40 + 5*f**4/8 + 17*f**3/6 - 2692*f. Suppose q(x) = 0. What is x?
-2, 0, 17
Let y be (-14)/(-1)*(2 + (-8)/8). Suppose 2*c**5 + 16 + 36*c - 5*c**4 - 11*c**3 - c**4 + y*c**2 + 3*c**3 - 6*c**3 = 0. What is c?
-1, 2, 4
Let m(s) = -87*s + 14271. Let x be m(164). Let v(i) be the second derivative of 0 - 5*i**2 - 1/30*i**4 + 34*i + 2/3*i**x. F