be the third derivative of y(l). Factor v(b).
-4*b**2*(b - 1)*(b + 4)/3
Let l = 79 + -62. Suppose l + 7 = 6*t. Let 9 + 2854*n**2 - 4*n**4 - 2856*n**2 + 5*n**4 + 12*n - t*n**3 = 0. What is n?
-1, 3
Suppose 114*a - 680 = 118*a. Let o be (-68)/a - ((-8)/10)/(-4). Let 3/5*r**4 + 1/5*r**5 - o - 3/5*r - 2/5*r**2 + 2/5*r**3 = 0. Calculate r.
-1, 1
Suppose -y = -11*y + 1700. Let h be (1/4)/(17/y) + -2. Factor -h*k + 1/4 + 1/4*k**2.
(k - 1)**2/4
Determine v so that -1116 + 1240781*v**3 - 108 + 1228*v - 1240785*v**3 = 0.
-18, 1, 17
Let p(c) be the first derivative of -4*c**3/3 + c**2 + 8*c + 97. Let m(n) = 3*n**2 - 7. Let q(d) = -6*m(d) - 4*p(d). Factor q(b).
-2*(b - 1)*(b + 5)
Let d(f) = -8*f - 114. Let p be d(20). Let k = p + 2468/9. Determine i so that k*i**4 + 4/9*i + 8/9*i**3 + 0 + 10/9*i**2 = 0.
-2, -1, 0
Let t(x) be the first derivative of x**5 - 775*x**4/2 - 1830. Factor t(y).
5*y**3*(y - 310)
Let o(p) be the third derivative of -2/285*p**6 - 5/57*p**3 + 0*p - 1/1995*p**7 - 4/57*p**4 + 0 + 36*p**2 - 3/95*p**5. Suppose o(l) = 0. What is l?
-5, -1
Factor -40*c**3 + 7*c**4 + 8*c**4 + 800*c - 159*c**2 - 122*c**2 - 483*c**2 - 416*c**2.
5*c*(c - 10)*(c + 8)*(3*c - 2)
Let c(y) be the first derivative of y**4/4 - y**3 - 8*y**2 - 12*y - 834. Suppose c(w) = 0. What is w?
-2, -1, 6
Suppose 3*t - 8*i = -14 - 12, -t + 4*i - 14 = 0. Let j(h) be the first derivative of 28 + 3*h**t + 3/5*h**5 + 0*h - 3*h**3 + 0*h**4. Factor j(v).
3*v*(v - 1)**2*(v + 2)
Let w(y) be the third derivative of -y**6/180 - 2*y**5/5 - 113*y**4/12 - 304*y**3/9 - 518*y**2. What is j in w(j) = 0?
-19, -16, -1
Let i(s) be the first derivative of -1/10*s**6 - 22 - 15*s + 0*s**2 + 0*s**3 - 1/4*s**4 - 3/10*s**5. Let q(c) be the first derivative of i(c). Factor q(a).
-3*a**2*(a + 1)**2
Solve 76/9*g**2 + 64/9*g**4 - 208/9*g**3 + 2/9*g**5 + 206/9*g - 140/9 = 0.
-35, -1, 1, 2
Suppose 3*g = -8 + 50. Let w(l) = l**2 - 16*l + 30. Let r be w(g). Factor 0*f**r - 7*f - 2*f**2 - 6 + 15*f.
-2*(f - 3)*(f - 1)
Suppose 36*s = 3*d + 37*s - 10, 0 = -5*d + 3*s + 40. Let q(k) be the third derivative of 3/2*k**4 + 17*k**2 + 1/20*k**d + 0*k + 0 + 18*k**3. Factor q(l).
3*(l + 6)**2
Let i(a) be the third derivative of -a**6/480 + 9*a**5/40 + a**4/24 - 9*a**3 - 5903*a**2. Let i(t) = 0. Calculate t.
-2, 2, 54
Let x = 4514560/3 - 1504853. Factor x*w**3 + 0 + 1/3*w**4 - 4/3*w**2 - 4/3*w.
w*(w - 2)*(w + 1)*(w + 2)/3
Suppose 0 = 431*k - 435*k + 12. Let f(x) be the third derivative of 0*x - 40*x**2 - 1/27*x**4 + 1/270*x**5 - 5/27*x**k + 0. What is y in f(y) = 0?
-1, 5
Let n(k) = -49*k**2 + 16*k - 7. Let r(f) = 46*f**2 - 15*f + 6. Let j(m) = -6*n(m) - 7*r(m). Let h(o) = -3*o**2 - o. Let s(y) = -6*h(y) + j(y). Factor s(v).
-5*v*(2*v - 3)
Let p(w) be the first derivative of 225/16*w**2 + 176 + 9/16*w**4 + 3375/8*w + 27/40*w**5 - 95/4*w**3 - 1/16*w**6. Determine t, given that p(t) = 0.
-3, 5
Suppose -3*f - q + 1 = -5*q, -4*f + 2 = -5*q. Suppose -3 = 3*m - 12. Factor -j**f + 16*j + 16*j**2 + 5*j**m + 23 - 23.
4*j*(j + 2)**2
Let g be -6 + (8 + 1 - 21/35*5). Solve 0 + 5/6*v**3 + g*v + 0*v**2 + 1/6*v**5 - v**4 = 0.
0, 1, 5
Factor 6*v**3 - 2600/3*v + 1/3*v**4 - 20*v**2 - 4000.
(v - 12)*(v + 10)**3/3
Let z be (9/2)/((-6)/8). Let i(t) = -2*t**2 - 11*t + 12. Let y be i(z). Determine f so that -4 + 0*f - 4*f**2 + 3*f - f + y*f = 0.
1
Let f = -406 - -421. Factor -1 + 1 + 103*n**3 - 98*n**3 + f*n**2.
5*n**2*(n + 3)
Let w(o) be the third derivative of -13/60*o**5 - 15*o**2 - 1/4*o**4 + 0 + 0*o**3 + 3*o. Solve w(d) = 0.
-6/13, 0
Let j be 118/276 - (-3384)/(-12972). Let m be 2 + 0 - 10/12. Suppose 4/3*k + j*k**3 - 8/3 + m*k**2 = 0. What is k?
-4, 1
Let r(m) be the first derivative of -m**4/16 + 22*m**3/3 - 1173*m**2/8 - 18207*m/2 + 9733. Factor r(u).
-(u - 51)**2*(u + 14)/4
Let w(j) be the third derivative of 0*j + 2/105*j**7 + 0 + 0*j**4 + 0*j**3 + 0*j**5 - 1/84*j**8 + 0*j**6 - 41*j**2. Solve w(o) = 0 for o.
0, 1
Let w(g) be the second derivative of -2*g**6/15 + 13*g**4/3 - 8*g**3 - 4691*g. Factor w(l).
-4*l*(l - 3)*(l - 1)*(l + 4)
Let h = -153 - -156. Suppose 7*n - 11*i + 14*i = -1, -5*i = -3*n + 31. Suppose 3/5*c - 2/5 - 1/5*c**h + 0*c**n = 0. Calculate c.
-2, 1
Let k(a) be the first derivative of a**4/6 - 438*a**3 + 431649*a**2 - 189062262*a + 12067. Find j such that k(j) = 0.
657
Let a(b) = -2*b**3 - 582*b**2 - 1795*b - 1173. Let n(w) = -w**3 - w**2 - 5*w + 1. Let i(q) = -a(q) + 7*n(q). Factor i(l).
-5*(l - 118)*(l + 1)*(l + 2)
Let w(b) = b**3 + b - 2. Let y(o) be the first derivative of -5*o**4/4 + 176*o**3/3 + 77*o**2/2 - 10*o + 157. Let x(j) = 10*w(j) - 2*y(j). Factor x(f).
4*f*(f - 18)*(5*f + 2)
What is g in g**2 + 122*g**3 + 81*g - 216 - 2*g**2 - 124*g**3 + 46*g**2 = 0?
-3, 3/2, 24
Let h(a) be the first derivative of -2/9*a**3 + 12*a - 192 - 1/12*a**4 + 5/2*a**2. Factor h(o).
-(o - 4)*(o + 3)**2/3
Let t(p) be the first derivative of 11/27*p**3 + 1/18*p**2 - 11/9*p - 1/36*p**4 - 62. Factor t(z).
-(z - 11)*(z - 1)*(z + 1)/9
Suppose x + 4 = 2*f, -24 = -x - 5*f - 0. Let z be ((-2)/x)/((-17)/17). Factor 5/2*r**2 - 2*r**3 + 0 - r + z*r**4.
r*(r - 2)*(r - 1)**2/2
Let b(m) = -m**2 + 2. Let w be 1 + (-10)/2*(-14)/(-35). Let t(z) = 5*z**2 + 6*z - 15. Let k(u) = w*t(u) - 4*b(u). Factor k(f).
-(f - 1)*(f + 7)
Factor 148/7*d**2 + 2/7*d**3 + 2050/7*d + 272.
2*(d + 1)*(d + 17)*(d + 56)/7
Let j(n) be the first derivative of -49*n**6/9 + 161*n**5/10 + 99*n**4/8 + 53*n**3/18 + n**2/4 - 491. Find x such that j(x) = 0.
-1/4, -1/7, 0, 3
Let q(i) = -7*i**2 + 1234*i - 3631. Let u(b) = -50*b**2 + 8640*b - 25410. Let o(j) = 15*q(j) - 2*u(j). Determine g so that o(g) = 0.
3, 243
Let r(h) be the second derivative of h**7/42 - 17*h**6/12 + 289*h**5/12 + 25*h**2 - 11*h. Let v(b) be the first derivative of r(b). Find x such that v(x) = 0.
0, 17
Find i such that 0 + 8/7*i**2 + 0*i + 110/7*i**4 + 72/7*i**5 - 64/7*i**3 = 0.
-2, 0, 2/9, 1/4
Factor 6/7*o**2 - 68/7*o + 192/7.
2*(o - 6)*(3*o - 16)/7
Suppose -4*u - 2*m + 1914 = 0, -u + 451 = -0*u + 6*m. Let f = 3369/7 - u. Factor -f*x + 0 - 2/7*x**2.
-2*x*(x + 1)/7
Let j(f) = 14*f - 88. Let s be j(11). Factor 2*v**4 - 4*v**2 - v + s*v**5 + 2*v**2 - 65*v**5.
v*(v - 1)*(v + 1)**3
Factor 7378 - 4*s**2 - 7342 - 17*s + 26*s - s**3.
-(s - 3)*(s + 3)*(s + 4)
Let f(s) = -16*s**2 + 4*s + 12. Let v(n) be the third derivative of -n**6/120 + n**3/6 - n**2 + 8*n. Let m(b) = f(b) + 4*v(b). Factor m(y).
-4*(y - 1)*(y + 1)*(y + 4)
Suppose -4*w + 16 = 2*x, x - 10 = -4*w + 2*x. Factor -212*o**w + 5*o**4 + 4*o**2 + o**2 + 222*o**3.
5*o**2*(o + 1)**2
Let l = 2881/9063 + -1/477. Let x be 18/(-60) + 5313/13110. Factor -x*o**2 - l - 8/19*o.
-2*(o + 1)*(o + 3)/19
Let b be -2 + (-2 - -2) - -6*1. Determine m, given that -15*m**2 - 6*m**2 - 5*m**3 + m**2 + 20*m**b + 5*m**5 = 0.
-4, -1, 0, 1
Let u(i) be the third derivative of -i**5/15 + 221*i**4/6 + 148*i**3 - i**2 - 217. Determine j, given that u(j) = 0.
-1, 222
Let h = -49 + 58. Suppose 8*w = -h*w + 34. Solve 5*d + 33*d**3 - 3*d**3 - 20*d**4 + 8*d**5 - 3*d**5 - 20*d**w = 0.
0, 1
Let x = -16 - -19. Find b such that -7*b**3 - 8*b**3 + 85*b + 5*b**2 + b**4 - 60 - 6*b**4 - 10*b**x = 0.
-4, -3, 1
Let h(j) = -13*j + 79. Let z be h(4). Factor -49*i + 432 - 2*i**3 - 167*i + 21*i**2 - 15*i**2 + 3*i**2 + z*i**2.
-2*(i - 6)**3
Let n = -26207 + 131036/5. Let j be -2 + 5 + 1 + -1. Factor 3/5*l + 1/5*l**j - n - 3/5*l**2.
(l - 1)**3/5
Factor 4*a - a**2 + 18*a**2 - 2*a**2 - 45 - 10*a**2 - 4*a**2.
(a - 5)*(a + 9)
Factor -448*v**2 - 33*v + 87*v + 256*v**3 + 117*v + 25*v.
4*v*(8*v - 7)**2
Factor -156/7 - 72/7*c + 3/7*c**2.
3*(c - 26)*(c + 2)/7
Factor -95*w**3 + 91*w**3 + 288*w**2 - 2*w**4 + 320 + 512*w + 68*w**3 + 6*w**4.
4*(w + 2)**3*(w + 10)
Let y(n) = -n**2 + 34*n + 114. Let k be y(37). Factor -48*g**4 + 2*g**5 + 10*g**k + 32*g**4 - 4*g**2 + 8*g**4.
2*g**2*(g - 2)*(g - 1)**2
Let u(k) be the second derivative of 1/30*k**4 + 48*k + 0 - 7/15*k**3 + 12/5*k**2. Determine o so that u(o) = 0.
3, 4
Let d be ((-65)/26 - -3 - 1)*0. Suppose 21*f - 3/2*f**3 + 15/2*f**2 + d = 0. What is f?
-2, 0, 7
Let j = -5258 + 5297. Let a(m) be the third derivative of 0*m + 5/8*m**4 + 0*m**3 + 0 + 1/2*m**6 + 5/6*m**5 + 5/336*m**8 + 1/7*m**7 + j*m**2. Factor a(q).
5*q*(q + 1)**3*(q + 3)
Let a = 818 + -816. Let n be (4 - 7/a)/(0 