2. Let y(r) be the second derivative of l(r). Factor y(x).
-3*(x - 3)*(x - 1)
Find i such that 1200 + 3/5*i**3 + 300*i + 24*i**2 = 0.
-20, -10
Let u = 186097/24 - 7754. Let n(v) be the third derivative of 5/12*v**4 + 11*v**2 + 0 + 0*v**3 + 0*v + 1/12*v**5 - u*v**6. Factor n(p).
-5*p*(p - 2)*(p + 1)
Let a(s) = -3*s - 15. Let t be a(-6). Let u = -157272/5 - -31455. Factor 6/5*j**4 + 0*j**t + 0 + u*j - 6/5*j**2 - 3/5*j**5.
-3*j*(j - 1)**3*(j + 1)/5
Let x = -22427 - -22474. Let p(d) be the third derivative of -1/600*d**6 + 0*d - 1/3*d**3 - 1/40*d**4 - x*d**2 + 1/50*d**5 + 0. Let p(c) = 0. What is c?
-1, 2, 5
Determine m, given that -7629*m + 14956*m + 5*m**4 + 275*m**2 - 8007*m - 90*m**3 + 190*m**2 + 300 = 0.
1, 6, 10
Let b(j) be the second derivative of 2*j**7/3 + 752*j**6/15 + 999*j**5 - 486*j**4 - 38*j - 2. Let b(z) = 0. Calculate z.
-27, 0, 2/7
Let z(o) be the first derivative of 3*o**4/20 - 591*o**3 + 1746405*o**2/2 - 573402975*o + 4837. What is d in z(d) = 0?
985
Let f(h) = h**2 - 2*h + 1. Let k(l) = 5*l**3 - 140*l**2 + 1020*l - 1515. Let x(m) = -5*f(m) + k(m). Solve x(i) = 0 for i.
2, 8, 19
Let t(v) = 3*v**2 + 4*v - 3. Let x be t(-9). Let u be -6 - x/8*(-1)/4. Factor 3/4 - u*p**2 + 3/8*p.
-3*(p - 2)*(p + 1)/8
Suppose -3*h - 2*d + 16 = 0, -3*h = -3*d + 14 - 5. Let y be 1/2 - 25/50. Factor y - 1/8*a**h + 1/2*a.
-a*(a - 4)/8
Let r be ((-16)/10)/(4/(-10)) - -11. Factor -60*p**2 - 17*p - r*p**3 + 5*p + 15*p**2 - 3*p**4 + 21*p**2.
-3*p*(p + 1)*(p + 2)**2
Let t(u) be the first derivative of 3*u**4/4 + 20*u**3 + 51*u**2/2 - 114*u + 1206. Find g, given that t(g) = 0.
-19, -2, 1
Let s be 48/1512 - (-12342)/4158. What is v in 0 + 2/5*v**4 + 2/5*v**s - 4*v**2 + 16/5*v = 0?
-4, 0, 1, 2
Factor 0 + 3*t + 4/5*t**2 - 3/5*t**3.
-t*(t - 3)*(3*t + 5)/5
Let w(v) = 4*v**2 + v - 6. Let a(y) = 115*y**2 - 875*y - 1080. Let h(q) = -a(q) + 30*w(q). Let h(u) = 0. What is u?
-180, -1
Let t(y) be the second derivative of -y**6/60 - 2*y**5/5 - 5*y**4/8 + 125*y**3/3 + 125*y**2 - 3096*y. Factor t(n).
-(n - 5)*(n + 1)*(n + 10)**2/2
Suppose 6*h = a + 13, -121*h - 65 = -126*h + 5*a. Let h + 10/11*j**3 - 36/11*j**2 - 16/11*j = 0. Calculate j.
-2/5, 0, 4
Let t be 16/88*-1 + 779/(-11). Let n = -67 - t. Factor -6*m**3 - 26*m**4 + 2*m**2 + 28*m**4 - n*m**2 + 6*m.
2*m*(m - 3)*(m - 1)*(m + 1)
Let 1/4*b**5 - 3/4*b**3 + 13/2*b + 13/4*b**4 + 0 - 37/4*b**2 = 0. What is b?
-13, -2, 0, 1
Suppose -4*u = 12, -2*y - 4*u = 7 + 9. Let g be 8/(-16)*(y - 6). Determine m, given that -g*m**4 - m**2 - 8*m + 12*m**2 - 2*m**2 + 3*m**2 = 0.
-2, 0, 1
Let u(x) = x**3 - 3*x**2 - 45*x. Let q(h) = -3*h. Let f(y) = -36*q(y) + 4*u(y). Factor f(l).
4*l*(l - 6)*(l + 3)
Let a(d) be the second derivative of -10 - 4*d**2 - 14/3*d**4 + 32/15*d**6 - 2/3*d**7 + 22/3*d**3 - 4/5*d**5 - 2*d. Solve a(z) = 0.
-1, 2/7, 1
Let h(p) be the second derivative of -p**4/114 - 56*p**3/19 - 7056*p**2/19 + 505*p. Factor h(m).
-2*(m + 84)**2/19
Let w(d) = 43*d**2 - 3*d + 1. Let j be w(3). Factor 0*z**3 + j - 381 - 3*z + z**3.
(z - 2)*(z + 1)**2
Let p(d) be the third derivative of d**5/20 + 10*d**4 - 81*d**3/2 + 2250*d**2. Solve p(z) = 0.
-81, 1
Let i = 153722 - 2305816/15. Find b such that 0 - 16/15*b + 4/5*b**4 + 2/15*b**5 + i*b**3 - 4/5*b**2 = 0.
-4, -2, -1, 0, 1
Suppose 92 + 590 = 2*p. Let h = p + -339. Find m, given that 4/5*m - 2/5*m**4 - 2*m**3 + 0 + 6/5*m**5 + 2/5*m**h = 0.
-1, -2/3, 0, 1
Solve 12/7*v**2 + 10904/7*v + 7264/7 = 0.
-908, -2/3
Let c(p) be the first derivative of -3/2*p**2 + 0*p - 18/7*p**4 + 22/7*p**3 - 19 - 1/14*p**6 + 6/7*p**5. Factor c(m).
-3*m*(m - 7)*(m - 1)**3/7
Let x = 115 - -61. Let c = 178 - x. Factor -1/2 + 1/2*r**c - 3/4*r.
(r - 2)*(2*r + 1)/4
Let p(t) = 6*t - 39. Let d be p(7). Let -9*n - 6729 + 20*n**2 - 5*n**2 - d*n**3 + 6702 = 0. Calculate n.
-1, 3
Let d(y) be the second derivative of -y**5/130 - y**4/26 - 12*y - 9. Solve d(w) = 0.
-3, 0
Let n(s) = 3*s**5 - s**4 - 11*s**3 + 11*s**2 - 6*s - 2. Let b(t) = -t**5 + t**4 + t**3 + t + 1. Let m(w) = 2*b(w) + n(w). Solve m(z) = 0 for z.
-4, 0, 1
Let d(m) be the third derivative of m**8/10080 + m**7/252 + m**6/40 - 7*m**5/30 + m**2 + 7. Let g(c) be the third derivative of d(c). Factor g(r).
2*(r + 1)*(r + 9)
Let r(q) be the second derivative of 343*q**6/60 + 22099*q**5/40 + 3143*q**4/8 + 1345*q**3/12 + 16*q**2 + 3346*q. Solve r(o) = 0 for o.
-64, -1/7
Let k be ((-42)/7)/3 - -6. Factor -35*s**2 - 45*s**5 - 693*s**3 - 420*s**k - 64*s - 319*s**3 - 188*s**2 - 4*s**5 - 257*s**2.
-s*(s + 4)**2*(7*s + 2)**2
Let k = 1617671/2 + -808835. Factor -18 - 10*y - k*y**2.
-(y + 2)*(y + 18)/2
Let r(n) be the third derivative of -n**10/30240 - n**9/7560 - n**8/6720 - 19*n**4/12 + 75*n**2. Let d(h) be the second derivative of r(h). Factor d(g).
-g**3*(g + 1)**2
Let a = 360/7 - 12953/252. Let y(v) be the third derivative of 0 + 1/360*v**5 - 5/36*v**3 + a*v**4 - 29*v**2 + 0*v. Find c such that y(c) = 0.
-5, 1
Let a(x) = x**3 + 3*x**2 - 4*x + 2. Let t be (80/(-6))/4 + 4/(-6). Let j be a(t). Let -5 - 5 - j*s**2 - 10*s - 2 + 4*s**2 = 0. Calculate s.
-1, 6
Suppose -3*k + 140 = 3*w - 58, -3*k - 4*w + 194 = 0. Suppose k*x - 6 = 68*x. Factor 5*o**4 - 3*o**4 - 54*o**2 - 5*o**x + 3*o**5 - 4*o**3 + 10*o**4.
3*o**2*(o - 2)*(o + 3)**2
Let s(n) be the first derivative of 0*n + 1/270*n**5 + 5/54*n**4 - 25 - 20*n**2 - 11/27*n**3. Let m(c) be the second derivative of s(c). Factor m(v).
2*(v - 1)*(v + 11)/9
Let x be 27/81*6/337. Let f = x + 664/1685. Solve -f + 9/5*p - 7/5*p**2 = 0.
2/7, 1
Let x(b) = 2*b**2 + 64*b - 171. Let f be x(3). Let z(p) be the second derivative of 1/3*p**3 - 10/9*p**4 + 0 + f*p + 3*p**2. Factor z(o).
-2*(4*o - 3)*(5*o + 3)/3
Let l = 77899/20772 - 1/5193. Let p(a) be the second derivative of 0*a**2 + 0 + l*a**4 + 11*a - a**3 - 21/5*a**5. Factor p(n).
-3*n*(4*n - 1)*(7*n - 2)
Let g(u) be the first derivative of 2*u**3/9 - 21*u**2 - 2156*u/3 + 2154. Suppose g(l) = 0. What is l?
-14, 77
Let h(a) be the second derivative of a**5/360 - 13*a**4/12 + 169*a**3 + 123*a**2/2 + 189*a. Let w(l) be the first derivative of h(l). Solve w(q) = 0.
78
Let c(b) be the first derivative of 27*b**4/8 + 278*b**3 + 4407*b**2/4 - 531*b - 1366. Let c(g) = 0. Calculate g.
-59, -3, 2/9
Factor 3606*x - 1287*x**2 - 8061*x - 1268 + 7100 - 89*x**3 - x**4.
-(x - 1)*(x + 9)**2*(x + 72)
Let g(h) be the first derivative of 3/26*h**4 + 4/65*h**5 - 4/13*h**2 + 0*h - 8/39*h**3 - 1/39*h**6 + 62. Find v, given that g(v) = 0.
-1, 0, 2
Let h(s) = -7*s**3 - 43*s**2 + 50*s + 24. Let k be 2/3*(-216)/48. Let w(t) = -t**2 - t - 1. Let m(b) = k*h(b) - 24*w(b). Suppose m(n) = 0. Calculate n.
-8, -2/7, 1
Let u be -1 + 9 + 3/(-1). Let p be (-5 + u)/(-2) - -2. Solve 5*w**4 - 33*w + 20*w**p + 8 + 30*w**3 - 34 + 1 + 3*w = 0.
-5, -1, 1
Suppose -11*s**3 - 175 - 175*s**4 - 151*s**5 + 5*s - 152*s**2 + 502*s**2 + 156*s**5 + s**3 = 0. Calculate s.
-1, 1, 35
Solve 9 + 1/2*s**3 - 5*s**2 + 7/2*s = 0 for s.
-1, 2, 9
Let y be 3/(((-1065)/20)/(-4 + 6)). Let l = y + 111/355. Solve 4/5*d - 4/5*d**3 + 1/5*d**2 - l*d**4 + 0 = 0 for d.
-4, -1, 0, 1
Suppose 0 = 9*x + 124*x - 75*x + 234*x. Determine r so that -5*r**2 - 5/3*r**3 + x - 10/3*r = 0.
-2, -1, 0
Let r be -1 - -8 - ((1 - -2) + 24). Let f be ((-4)/(-12) + -3)*10/r. Factor -2*q**3 - f*q + 0 + 10/3*q**2.
-2*q*(q - 1)*(3*q - 2)/3
Let m = -711 + 698. Let y be -8*m/208*4/11. Find s, given that -8/11*s**3 + 2/11*s**4 + 0 - y*s**2 + 8/11*s = 0.
-1, 0, 1, 4
Suppose 4*r = -4*p - 4, 2*p - 5 = 5*r - 0. Suppose 16 = 4*n - p*n. Solve -6*m**3 + 48*m**2 + 12*m - 4 - n + 14*m**3 + 20*m**3 = 0 for m.
-1, 2/7
Let c = -243430/9 - -27048. Determine z, given that -4/3*z + c*z**2 - 14/9 = 0.
-1, 7
Factor -4860/7*u + 6561/7 - 60/7*u**3 + 1/7*u**4 + 1062/7*u**2.
(u - 27)**2*(u - 3)**2/7
Let m(k) be the third derivative of -k**9/80640 - k**8/560 - 3*k**7/35 - 17*k**5/4 - 2*k**2 - 49. Let g(x) be the third derivative of m(x). Factor g(l).
-3*l*(l + 24)**2/4
Suppose 0 = -22*h + 43 + 1. Find y, given that 16*y**4 + 28*y**3 - 2*y**5 - 2*y**5 + h*y**5 - 10*y + 32*y**2 - 64*y**3 = 0.
0, 1, 5
Factor -492*n + 620*n - 37884 + 36860 - 4*n**2.
-4*(n - 16)**2
Let u(a) = -2*a**3 - 2. Let r(i) = -44*i**3 + 260*i**2 + 2272*i + 4632. Let v(m) = -r(m) + 20*u(m). Factor v(g).
4*(g - 73)*(g + 4)**2
Let h(z) be the third de