be the third derivative of 0*l**3 + 0*l + 0*l**4 - 12*l**f + 1/60*l**5 + 0. Factor a(z).
z**2
Let z be (3*-3)/((-86)/602). Factor 24 + z*p + 36 - 12 + p**2 - 112*p.
(p - 48)*(p - 1)
Solve 5486/7*g - 204 + 2*g**3 - 1712/7*g**2 = 0 for g.
2/7, 3, 119
Let q(i) be the second derivative of i**4/48 - 93*i**3/4 - 559*i**2/8 - 4485*i. Factor q(v).
(v - 559)*(v + 1)/4
Suppose b - 22 = 2*i + 3*i, -2*b + 5*i + 34 = 0. Suppose b*v - 9 = 3*v. Factor 0*x**2 - 3*x**3 - v - 2 + 15*x**2 + 12 - 21*x.
-3*(x - 3)*(x - 1)**2
Suppose 5*i = -22*q + 30 - 59, -4*i = -q - 14. Determine c, given that 1/4 + 0*c**2 + 1/2*c - 1/2*c**i - 1/4*c**4 = 0.
-1, 1
Suppose 4*c + f = 13, 4*c - 3 = -9*f + 10*f. Solve 19*j + 17*j - 38*j + 2*j**c - 24 = 0 for j.
-3, 4
Let c(m) = -3*m**2 - 38*m + 47. Suppose 0 = -s + 5*s - 8. Let o(f) = 2*f**2 + 37*f - 48. Let h(y) = s*o(y) + 3*c(y). Factor h(v).
-5*(v - 1)*(v + 9)
Let d(z) be the first derivative of z**5/150 + 2*z**4/15 + z**3 + 29*z**2 - 28. Let x(s) be the second derivative of d(s). Suppose x(a) = 0. Calculate a.
-5, -3
Suppose -18*j + 171*j + 446 - 905 = 0. Factor 8/7*k**2 + 4/7 + 2/7*k**j + 10/7*k.
2*(k + 1)**2*(k + 2)/7
Let q be ((-2)/(-6))/(21/(252/(-48)) - (-153)/27). Suppose -q*t**4 + 0*t + 17/5*t**3 + 0 + 0*t**2 = 0. Calculate t.
0, 17
Let t(p) be the third derivative of p**7/42 + 43*p**6/24 - p**5/4 - 635*p**4/24 + 215*p**3/3 + 2377*p**2. Determine c, given that t(c) = 0.
-43, -2, 1
Let b = -351 + 325. Let g = b - -29. Factor 0 + 12/5*h - 2/5*h**2 - 2/5*h**g.
-2*h*(h - 2)*(h + 3)/5
Let s(y) = -256*y**2 + 45*y - 47. Let b be s(1). Let w = b - -776/3. Suppose w*m**5 - 2*m**3 + 0 + 4/3*m + 2/3*m**4 - 2/3*m**2 = 0. What is m?
-2, -1, 0, 1
Let t(a) be the first derivative of -a**8/840 - a**7/105 + 4*a**5/15 + 4*a**4/3 + 28*a**3/3 + a**2 - 40. Let x(h) be the third derivative of t(h). Factor x(g).
-2*(g - 2)*(g + 2)**3
Let w(a) = -a**2 - 64*a + 35079. Let m be w(-222). Factor 0 - 30/7*f**2 + 4/7*f**m + 0*f + 2/7*f**4.
2*f**2*(f - 3)*(f + 5)/7
Solve 4788*h + 1761 + 149*h**4 + 1083*h**4 - 28178*h**2 + 1767 - 339*h**5 - 5657*h**3 + 290*h**5 = 0 for h.
-3, -2/7, 3/7, 14
Let c be (75/975)/(((-9)/3)/(-195)). Let v(q) be the first derivative of 0*q - 1/6*q**6 + 1/5*q**c + 0*q**2 + 1/4*q**4 - 45 - 1/3*q**3. Factor v(k).
-k**2*(k - 1)**2*(k + 1)
Solve 69*l**3 + 590*l**2 + 591163*l**4 - 1440 - 26*l**3 - 591165*l**4 + 93*l**3 - 988*l = 0 for l.
-5, -1, 2, 72
Determine x, given that 1/7*x**5 + 0 - 3244/7*x**4 - 5258524/7*x**2 + 2627641/7*x + 2634126/7*x**3 = 0.
0, 1, 1621
Let z be 49/(-2744)*-16 - (-2)/8*(-16)/(-14). Factor -4*q + z*q**2 - 176/7.
4*(q - 11)*(q + 4)/7
Let g(u) be the third derivative of -u**5/60 + u**4/8 + 5*u**3/2 + 57*u**2. Let d(t) = 1. Let v(q) = 5*d(q) - g(q). Solve v(l) = 0 for l.
-2, 5
Let i(p) be the first derivative of p**3/12 - 97*p**2/8 + 24*p + 1276. Let i(w) = 0. Calculate w.
1, 96
Solve -576 - i**2 - 295*i - 3*i**3 + 37*i - 82*i - 59*i**2 + 4*i = 0.
-12, -4
Let d(z) = 3*z**4 + z**3 - z + 1. Let g(c) = -15*c**4 - 59*c**3 - 86*c**2 - 31*c + 7. Let h(l) = 2*d(l) + 2*g(l). Let h(o) = 0. Calculate o.
-2, -1, 1/6
Determine w so that 13*w**3 - 44*w**3 + 18078*w - 17998*w + 30*w**2 + 2*w**2 + 4*w**4 - 13*w**3 = 0.
-1, 0, 2, 10
Suppose 3*u = i - 4, 3*i - 10 - 2 = 5*u. Let y be 8/10 - (-153)/(-2975)*10. Determine k, given that 0 + 12/7*k + 16/7*k**3 + y*k**i + 26/7*k**2 = 0.
-6, -1, 0
Suppose -2*h**3 + 16*h**2 + 17*h**4 + 22*h**5 + 3*h - 23*h**4 - 8 + 2 - 23*h**5 - 4 = 0. What is h?
-5, -2, -1, 1
Let c(r) be the third derivative of 0*r**3 + 1/60*r**6 - 2*r - 42*r**2 + 3/5*r**5 - 19/12*r**4 + 0. Factor c(i).
2*i*(i - 1)*(i + 19)
Solve t - 1/6*t**2 + 0 = 0 for t.
0, 6
Let v = -336671/7 + 48097. Find g, given that -4/7*g**3 + 0 - v*g - 12/7*g**2 = 0.
-2, -1, 0
Suppose -55*b - 87 + 252 = 0. Let 11*z**3 - 8831*z + 8835*z - 20*z**2 + 2*z**4 - 7*z**5 + 10*z**b = 0. What is z?
-2, 0, 2/7, 1
Let i(y) = 8*y**4 - 10*y**3 - 53*y**2 + 35*y. Let u(h) = -h**4 + 10*h**2 - h. Let k(r) = 5*i(r) + 35*u(r). Factor k(x).
5*x*(x - 7)*(x - 4)*(x + 1)
Let b(m) be the third derivative of -m**7/840 - 143*m**6/480 - 71*m**5/120 + 14*m**2 + m. Factor b(c).
-c**2*(c + 1)*(c + 142)/4
Let y(c) = 5*c + 52. Let g be y(-10). Determine m, given that -224*m**g + 5*m**4 + 80*m - 58*m**2 - 11*m**4 - 6*m**4 + 260*m**3 - 16*m**5 - 102*m**2 = 0.
-5, 0, 1/4, 2
Suppose 6343*z = 6369*z - 78. Let r(d) be the first derivative of -4/3*d**z - 8*d + d**4 + 4/15*d**5 - 14 - 22/3*d**2. Suppose r(x) = 0. What is x?
-3, -1, 2
Let g(a) be the third derivative of -a**8/448 + 11*a**7/140 + 3*a**6/20 - 207*a**5/8 + 2025*a**4/32 - 19*a**2 + a. Determine o so that g(o) = 0.
-9, 0, 1, 15
Factor -155/8 + 9/2*a - 1/8*a**2.
-(a - 31)*(a - 5)/8
Determine f, given that -19/6*f**3 + 0 + 1/6*f**4 - 39/2*f + 29/2*f**2 = 0.
0, 3, 13
Let u(l) = -70*l**2 + 115*l - 23. Let d(j) = -18*j**2 + 29*j - 5. Let m(z) = -11*d(z) + 3*u(z). Suppose m(t) = 0. Calculate t.
1, 7/6
Suppose 15*x - 14*x - 3 = 0. Let a be 8 - (x - (7 - 4)). Factor a - 6*p**3 - 5*p - 7*p + 10*p**3.
4*(p - 1)**2*(p + 2)
Factor -1/3*u**3 + 35/3*u**2 - 368/3*u + 1216/3.
-(u - 19)*(u - 8)**2/3
Find h, given that 127*h**3 + 63*h**3 - 194*h**3 - 40704*h - 788*h**2 - 184320 = 0.
-96, -5
Let o(l) = 4062*l - 357348. Let z be o(88). Find v such that 3*v + 1/3*v**3 - z + 14/3*v**2 = 0.
-9, 4
Let x(y) = 13*y**2 - 280*y + 1423. Let i(h) = -8*h**2 + 280*h - 1432. Let k(s) = -3*i(s) - 2*x(s). Factor k(t).
-2*(t - 5)*(t + 145)
Let z(a) be the first derivative of 6*a**5/5 - 112*a**4 + 8510*a**3/3 - 2738*a**2 + 815. Determine i, given that z(i) = 0.
0, 2/3, 37
Factor 41/4*v**3 + 273/2*v**2 - 686 + 539*v + 1/4*v**4.
(v - 1)*(v + 14)**3/4
Let y(z) = -70*z**3 - 148*z**2 + 95*z - 9. Let d(x) = -2*x**3 + 4*x**2 + x + 1. Let n(o) = -3*d(o) + y(o). Solve n(j) = 0 for j.
-3, 1/4
Suppose 4*u + 7 = 3*f - u, 4*f - 2 = 3*u. Let y(j) = j**5 - j**4. Let t(h) = -3*h**5 + 3*h**4 + 2*h**3 - 2*h**2. Let w(o) = f*t(o) - y(o). Factor w(n).
2*n**2*(n - 1)**2*(n + 1)
Let g(h) be the first derivative of 349*h**3/12 + 347*h**2/8 - h/2 + 2632. Determine j so that g(j) = 0.
-1, 2/349
Let l(d) be the third derivative of 1/180*d**5 - 1/360*d**6 + 1/1008*d**8 + 0*d**3 + 0*d**4 + 0*d - 1/630*d**7 - 8*d**2 + 10. Factor l(x).
x**2*(x - 1)**2*(x + 1)/3
Let t(a) be the second derivative of 1/180*a**5 + 0*a**2 + 7/54*a**4 + 20*a + 0 + 49/54*a**3. Solve t(j) = 0 for j.
-7, 0
Suppose -3*o + 4*l = -0*l - 57, 36 = 3*o + 3*l. Let a = -1 - -4. Factor -o*k**4 - 16*k**a + 8*k**3 - 13*k**3 + 24*k**2 + 12*k.
-3*k*(k - 1)*(k + 2)*(5*k + 2)
Let o(y) = -y. Let g be 30/(-8)*2*20/(-25). Let t(b) = 2*b**2 - 5*b**2 + 8 + 6*b**2 - g. Let i(h) = -10*o(h) + 2*t(h). Determine k, given that i(k) = 0.
-1, -2/3
Let q(x) = x**2 - 347*x + 22448. Let c be q(86). Find v, given that -6/5*v + 28/15 + 2/15*v**c = 0.
2, 7
Suppose 371 = -k - 3*v + 86, 0 = -5*v - 20. Let y be (4836/k)/((-9)/42*2). Solve 12*u**4 + 52*u**3 - y*u + 100/3*u**2 + 8 = 0 for u.
-3, -2, 1/3
Let t = 3192 - 3163. Let l(p) be the third derivative of 1/48*p**5 - t*p**2 + 5/96*p**4 + 0*p - 5/24*p**3 - 1/96*p**6 + 0. Find o such that l(o) = 0.
-1, 1
Let v = -342 + 13330/39. Let z = 149/156 + v. Factor -z*h - 3/4*h**2 + 0.
-3*h*(h + 1)/4
Let l be (-24)/9 - -4 - 1/(-3). Let z(k) = -2*k**2 + 74*k - 318. Let a be z(32). Factor -1/3*c**a + 0 - l*c.
-c*(c + 5)/3
Suppose h - 3*h + 5*y + 16 = 0, -3*y = -5*h + 21. Let r(v) be the first derivative of 10*v - 160*v + 6 - 150*v + 23 - v**h - 30*v**2. Factor r(l).
-3*(l + 10)**2
Let b(p) be the second derivative of p**7/42 - p**6/3 + 33*p**5/20 - 3*p**4 - 13325*p. Factor b(l).
l**2*(l - 4)*(l - 3)**2
Let n(v) be the first derivative of v**8/2016 - v**7/1260 - v**6/360 - v**2 + 21*v + 115. Let t(y) be the second derivative of n(y). Factor t(d).
d**3*(d - 2)*(d + 1)/6
Determine x so that 5*x**3 - 617*x - 558*x - 2194*x**2 + 1024*x**2 = 0.
-1, 0, 235
Factor 0*u + 0 + 256/7*u**3 + 8192/7*u**2 + 2/7*u**4.
2*u**2*(u + 64)**2/7
Let m = 245195/3 - 81730. Find k, given that m*k + 11/6 - 1/6*k**2 = 0.
-1, 11
Suppose -4 = -o - 5*f, -5*f = -6*f. Determine m, given that -4 - 16184*m**3 - 4667*m**2 + 19652*m**o + 1403*m**2 - 123*m - 77*m = 0.
-1/17, 1
Let k = 1271892094/763 + -1666963. Let q = -3/109 - k. Solve -4/7*h