**3. Let o(u) be the first derivative of l(u). Factor o(v).
3*v*(v - 3)/2
Let g = -380 + 1521/4. Factor -1/4*r**2 + 0*r + g.
-(r - 1)*(r + 1)/4
Let g(c) be the first derivative of c**5/20 + 3*c**4/16 + c**3/4 + c**2/8 + 129. Factor g(j).
j*(j + 1)**3/4
Let g(c) be the second derivative of -c**7/1260 + c**6/60 + 7*c**5/60 + 11*c**4/4 + 21*c - 2. Let l(p) be the third derivative of g(p). Factor l(u).
-2*(u - 7)*(u + 1)
Let v(m) be the second derivative of -m**5/10 + 19*m**4/6 - 6*m**3 - 103*m. Solve v(b) = 0.
0, 1, 18
Let u be (-2 - -5) + (-88)/32. Solve -3/2*d**2 + d**4 + d**3 - u*d + 1/2 - 3/4*d**5 = 0 for d.
-1, -2/3, 1
Let m(f) be the third derivative of 1/25*f**5 + 0*f - 1/150*f**6 - 1/15*f**4 + 0 + 12*f**2 + 0*f**3. Let m(a) = 0. What is a?
0, 1, 2
Let v(c) be the first derivative of c**5/120 - c**4/6 + 7*c**3/12 + 25*c**2/2 - 27. Let n(i) be the second derivative of v(i). Factor n(u).
(u - 7)*(u - 1)/2
Let q(n) be the first derivative of -n**6/3 + 4*n**5/5 + 27*n**4/2 - 72*n**3 + 108*n**2 - 294. What is x in q(x) = 0?
-6, 0, 2, 3
Let q = -44 - -80. Suppose -48 = -2*s - 2*s + 3*i, 3*s + i - q = 0. Find z, given that 4*z**2 + 20*z + 4*z**3 - 8 - 8*z**2 - s*z**2 = 0.
1, 2
Let j be (3 - 4) + 92/36. Let b = j - 4/3. Suppose -2/9*d**2 + b*d - 2/9*d**3 + 2/9 = 0. What is d?
-1, 1
Let s = 125/3 - 6485/156. Let c = 239/52 - s. Find n such that -3*n - 3/2*n**2 + c = 0.
-3, 1
Suppose c - 6 = -3*o, -2*c - 3 = -5*o - 4. Find a, given that -2*a - a**4 - 4*a**3 - 11*a**c - a**4 - 6*a**2 + 9*a**3 = 0.
-1, 0
Suppose 478*f = -217*f + 164*f + 1593. Determine j, given that -1 + j**2 + 1/4*j - 1/4*j**f = 0.
-1, 1, 4
Let a(k) = k - 2. Let x be a(5). Let q be (-2 - (x - 6))*3. Find j such that 0*j**q + 2*j - 3*j + 2*j**2 + 0*j**3 - j**3 = 0.
0, 1
Let h = 2582/119 - 364/17. Factor 0*b**2 + 1/7*b**4 + h*b - 2/7*b**3 - 1/7.
(b - 1)**3*(b + 1)/7
Let y(v) be the third derivative of -v**5/15 - 7*v**4/24 + 5*v**3/2 - 37*v**2 + v. Determine w, given that y(w) = 0.
-3, 5/4
Let s(z) be the second derivative of 1/5*z**6 + 0 + 1/3*z**2 - 2*z - 2/63*z**7 - 2/3*z**3 + 7/9*z**4 - 8/15*z**5. Solve s(p) = 0.
1/2, 1
Let v be 16/24 - 2/3. Suppose v = -b + 2*b - 5*t + 20, 0 = -4*b + 4*t - 16. Determine k so that 6/5*k**2 + 2/5*k**3 + 4/5*k + b = 0.
-2, -1, 0
Factor 1/5*o**4 + 2/5*o**3 + 1/5 - 2/5*o**2 - 1/5*o**5 - 1/5*o.
-(o - 1)**3*(o + 1)**2/5
Let v(s) = s**3 + s**2 + s. Let r(c) = 289*c**3 - 32*c - 15 - 31*c**2 - 14*c - 300*c**3 - 5. Let q(a) = -r(a) - 6*v(a). Let q(t) = 0. Calculate t.
-2, -1
Solve -2*j**2 - 21/5*j + 18/5 - 8/5*j**4 + 4*j**3 + 1/5*j**5 = 0 for j.
-1, 1, 2, 3
Let p(t) be the second derivative of -5/9*t**3 + 0 - 16*t + 0*t**2 - 5/12*t**4 - 1/12*t**5. Factor p(i).
-5*i*(i + 1)*(i + 2)/3
Let f(g) be the second derivative of -2*g**6/45 + 11*g**5/6 - 7*g**4 + 23*g**3/9 + 50*g**2/3 + 211*g. Determine a so that f(a) = 0.
-1/2, 1, 2, 25
Suppose 142 = s + 133. Let n be 2/s*(-5 - -8). Find h, given that -2 + 8/3*h - n*h**2 = 0.
1, 3
What is m in m**5 + 26/3*m**4 + 0 + 67/3*m**3 + 64/3*m**2 + 20/3*m = 0?
-5, -2, -1, -2/3, 0
Let z be (-24)/10 + 2 - (-220)/50. Let s(n) be the third derivative of 1/24*n**z + 0*n - n**2 - 1/9*n**3 + 0 - 1/180*n**5. Find q such that s(q) = 0.
1, 2
Let u(n) be the first derivative of 1/11*n**6 + 4/11*n**5 + 4/11*n**3 + 0*n + 1/11*n**2 + 6/11*n**4 - 10. Factor u(f).
2*f*(f + 1)**3*(3*f + 1)/11
Let l(i) be the second derivative of i**7/420 + i**6/100 - 9*i**5/200 + i**4/24 + 3*i - 20. Factor l(t).
t**2*(t - 1)**2*(t + 5)/10
Let x = -129 + 131. Let c(u) = -3*u**2 + 38 - 5*u - 35*u + 9*u**2 - 6*u**3. Let o(p) = p**2 - 1. Let y(g) = x*c(g) + 44*o(g). Find l such that y(l) = 0.
2/3, 2
Let z(h) = 3*h**3 - 3*h**2 + 5*h - 5. Let p(x) = -2*x**3 + 4*x**2 - 6*x + 4. Let j(q) = 5*p(q) + 4*z(q). Factor j(i).
2*i*(i - 1)*(i + 5)
Suppose h - 21 = f - 8, -2*f - 42 = -4*h. Factor 4*g + h + 1/2*g**2.
(g + 4)**2/2
Factor 25 - 15*z**2 - 15/2*z - 5/2*z**3.
-5*(z - 1)*(z + 2)*(z + 5)/2
Factor -109*c**5 + 21*c**3 + 12*c**2 + 5*c**4 - 115*c**5 + c**4 + 221*c**5.
-3*c**2*(c - 4)*(c + 1)**2
Let t(o) be the first derivative of -2*o**3/15 + 27*o**2/5 + 56*o/5 - 125. Determine g, given that t(g) = 0.
-1, 28
Let w(k) be the third derivative of k**5/90 + 19*k**4/6 + 361*k**3 - 375*k**2. Suppose w(a) = 0. Calculate a.
-57
Suppose -l = -4*l + i, -5*i + 15 = 0. Let x(n) = n + 1. Let c be x(l). Factor 0 + 0*q - 2/11*q**3 + 4/11*q**c.
-2*q**2*(q - 2)/11
Let d = -969 - -971. Find y such that 0*y + 0 - 3/2*y**3 + 3*y**d = 0.
0, 2
Suppose 5*u + 3*f - 5*f = 22, u - 10 = -f. Let s be (3 - (-60)/(-28))*28/u. Determine g, given that 8*g + 16/3 - 92/3*g**2 - 14/3*g**s + 22*g**3 = 0.
-2/7, 1, 2
Let x(v) = -13*v - 251. Let j be x(-20). Let p(m) be the first derivative of 2*m**2 + 0*m + j + m**4 - 8/3*m**3. Determine z, given that p(z) = 0.
0, 1
Let t = -521/3 - -10429/60. Let j(h) be the second derivative of 0 - 1/2*h**3 + t*h**5 - h - 3*h**2 + 1/2*h**4. Factor j(o).
3*(o - 1)*(o + 1)*(o + 2)
Let k(s) = 4*s - 3. Let z be k(-3). Let b be (20/30)/((-1)/z). Suppose 9*i**2 - 12*i - b*i**2 + 5*i**2 + 8 = 0. Calculate i.
1, 2
Factor -268/7*b - 8978/7 - 2/7*b**2.
-2*(b + 67)**2/7
Let r(m) be the first derivative of -5/14*m**4 - 10/21*m**3 + 2/7*m**6 + 0*m - 1/7*m**2 + 2/7*m**5 - 9. What is z in r(z) = 0?
-1, -1/2, -1/3, 0, 1
Let z(u) = -u**2 - 9*u - 5. Let w be z(-8). Factor 0*k + 20*k**2 + 23*k**w + 7*k**4 - 2*k**4 + 4*k + 2*k**4.
k*(k + 1)*(k + 2)*(7*k + 2)
Let v(w) be the third derivative of -w**5/20 + 9*w**3/2 - 134*w**2. Factor v(h).
-3*(h - 3)*(h + 3)
Factor 20/3 + 91*m**2 - 48*m - 49/3*m**3.
-(m - 5)*(7*m - 2)**2/3
Let w(d) be the first derivative of d**4/30 + 14*d**3/45 + 14*d**2/15 + 16*d/15 - 353. Factor w(v).
2*(v + 1)*(v + 2)*(v + 4)/15
Let s(j) be the third derivative of -j**7/735 - 11*j**6/420 + 13*j**5/105 + 309*j**2. Solve s(b) = 0.
-13, 0, 2
Let b(l) be the third derivative of -l**8/1680 - 4*l**7/525 - l**6/200 + 23*l**5/75 + 14*l**4/15 - 32*l**3/5 + l**2 - 86. Factor b(f).
-(f - 3)*(f - 1)*(f + 4)**3/5
Let l = -2069/45 + 46. Let k(o) be the second derivative of 0*o**2 + 0*o**3 - l*o**6 + 4*o + 2/15*o**5 + 0 - 2/9*o**4. Solve k(z) = 0.
0, 2
Suppose -46*t + 89 = -95. Let y(l) be the third derivative of -1/240*l**5 - 3*l**2 + 0*l**3 + 0 - 1/32*l**t + 0*l. Let y(c) = 0. Calculate c.
-3, 0
Let p(y) be the second derivative of y**6/300 - 3*y**5/50 + 23*y**4/120 + 3*y**3/5 + y - 38. Solve p(i) = 0 for i.
-1, 0, 4, 9
Let y(r) = -14*r**3 - 40*r**2 - 20*r - 4. Let k(i) = 15*i**3 + 39*i**2 + 21*i + 5. Let x(g) = -4*k(g) - 5*y(g). Determine m, given that x(m) = 0.
-4, -2/5, 0
Let k(z) = -z**3 + 16*z**2 - 13*z + 2. Let t be k(15). Factor -p + 1 - 2*p - t*p**2 + 28*p**2.
-(p + 1)*(4*p - 1)
Let w(r) = 17*r**3 + 111*r**2 + 192*r + 60. Let g(k) = -18*k**3 - 111*k**2 - 192*k - 60. Let x(b) = -2*g(b) - 3*w(b). Factor x(t).
-3*(t + 2)*(t + 5)*(5*t + 2)
Let l(z) be the third derivative of 0 + 0*z + 0*z**3 + 14*z**2 - 1/270*z**5 + 1/108*z**4 + 1/945*z**7 - 1/540*z**6. Let l(a) = 0. What is a?
-1, 0, 1
Let b(v) = 167*v**3 + 155*v**2 - 19*v + 14. Let i(j) = -56*j**3 - 52*j**2 + 6*j - 4. Let d(z) = 2*b(z) + 7*i(z). Factor d(h).
-2*h*(h + 1)*(29*h - 2)
Let g = -23 + 25. Factor -g - 14 - 70*n**2 + 26*n**2 + 12*n**3 + 48*n.
4*(n - 2)*(n - 1)*(3*n - 2)
Solve 28561/5 + 1/5*f**2 + 338/5*f = 0 for f.
-169
Suppose 7*l = -6*l. Factor -6/5*g**4 + 0*g - 4/5*g**3 + 0*g**2 + l + 4/5*g**5.
2*g**3*(g - 2)*(2*g + 1)/5
Let d(m) be the third derivative of m**5/60 + 5*m**4/6 + 19*m**3/6 - 240*m**2. Factor d(j).
(j + 1)*(j + 19)
Let t be 1/(-4) - 1387/(-76). Let x(a) = a**4 - a**3 - a**2 - a. Let w(v) = -10*v**4 + 6*v**3 + 7*v**2 + 9*v. Let m(p) = t*x(p) + 2*w(p). Solve m(f) = 0 for f.
-2, -1, 0
Let j = 1551 + -1547. Factor 1/2*l**j - l**2 - 1/2*l**5 + l**3 + 1/2 - 1/2*l.
-(l - 1)**3*(l + 1)**2/2
Let a(k) be the third derivative of k**6/15 + k**5/60 - k**4/3 - k**3/6 - 424*k**2. Determine r, given that a(r) = 0.
-1, -1/8, 1
Let k(i) = i + 43. Let a be k(-5). Factor -44 - a*g + 62*g - 3*g**2 - 4.
-3*(g - 4)**2
Factor 0 - 5/3*w - 1/3*w**2.
-w*(w + 5)/3
Let u(t) be the first derivative of t**4/16 - 3*t**2/8 - 10*t + 9. Let l(o) be the first derivative of u(o). Factor l(v).
3*(v - 1)*(v + 1)/4
Let z(u) be the first derivat