*4/108 + 5*l**2/2 + 9*l - 47. Let s(b) be the second derivative of a(b). Factor s(j).
-2*j*(j - 7)/9
Suppose -2115 = -39*w + 24*w. Factor -2304 - 3*k**3 + w*k + 92*k**2 - 1101*k + 3*k**3 - 2*k**3.
-2*(k - 24)**2*(k + 2)
Let f(w) be the first derivative of w**5/180 - w**3/18 - 14*w**2 + 43. Let d(m) be the second derivative of f(m). Determine x, given that d(x) = 0.
-1, 1
Let t be ((-10)/6)/(165/198). Let u be 2332/462 - t/7. Solve 12*k**3 + 2/3*k**5 + u*k - 14/3*k**4 + 0 - 40/3*k**2 = 0 for k.
0, 1, 2
Suppose -45*r = -39*r + 53*r - 177. Let t(h) be the second derivative of -13*h + 3/20*h**4 - 6/5*h**2 + 0 - 1/2*h**r + 1/50*h**6 + 3/20*h**5. Factor t(q).
3*(q - 1)*(q + 1)**2*(q + 4)/5
Let i(x) be the third derivative of x**7/140 + x**6/4 + 27*x**5/10 + 9*x**4 + x**2 - 17. Find y such that i(y) = 0.
-12, -6, -2, 0
Factor 0 + 368/15*n + 2/5*n**3 + 1106/15*n**2.
2*n*(n + 184)*(3*n + 1)/15
Let v be ((-10152)/140*1)/(57/(-190)). Let i = -5062/21 + v. Determine n, given that -1/3*n**2 + 0 + i*n = 0.
0, 2
Let q(z) be the third derivative of 0 + 2*z - 19/100*z**5 - 40*z**2 - 1/40*z**6 + 3/10*z**3 - 11/40*z**4. Suppose q(x) = 0. What is x?
-3, -1, 1/5
Let j be ((-2)/(-6) - -1)*30/20. Determine f, given that 7*f**5 - 4*f**5 + 5*f + 6*f**2 - 6*f**3 - 2 - 1 - 3*f**4 - j*f = 0.
-1, 1
Solve -309/2*l**3 - 3/8*l**5 - 240*l + 4800 - 717*l**2 - 51/4*l**4 = 0 for l.
-10, -8, 2
Suppose 4*l + 6 = 5*l. Suppose 3*q = 3, 0 = 3*w + 5*q - 17 + l. Factor -56 + 30*y + y**2 - 4*y**w - 19.
-3*(y - 5)**2
Let k be ((-292)/1606 - (-2 - 62/(-22)))*-4. Factor -5*l - 1/2*l**k + 19/2*l**2 + 0 - 4*l**3.
-l*(l - 1)**2*(l + 10)/2
Let c = 1609838 + -410509654/255. Let l = c - -62/15. Determine u, given that 4/17 - 2/17*u - l*u**2 + 2/17*u**3 + 2/17*u**4 = 0.
-2, -1, 1
Let m(c) = 28*c**3 - 288*c**2 + 12*c + 296. Let p(d) = -11*d**3 + 96*d**2 - 4*d - 99. Let i(u) = 3*m(u) + 8*p(u). Factor i(b).
-4*(b - 1)*(b + 1)*(b + 24)
Let y be 6*3/(-15)*-5. Let n be 0*((-4)/y)/((-18)/(-27)). Factor 0*v + n*v**3 - 16/7*v**2 + 0 + 4/7*v**4.
4*v**2*(v - 2)*(v + 2)/7
Let t(f) be the third derivative of 1/168*f**8 - 1/20*f**6 + 1/6*f**4 - 1/105*f**7 + 0*f**3 + 0 - f + 1/30*f**5 + 4*f**2. Factor t(x).
2*x*(x - 2)*(x - 1)*(x + 1)**2
Let b(q) be the first derivative of 5*q**4 - 10*q**2 + q**5 + 0*q - 54 - 5/3*q**3. Solve b(y) = 0 for y.
-4, -1, 0, 1
Let l be 50/840*(-24)/(-60). Let n(s) be the third derivative of -l*s**4 - 1/21*s**3 + 0*s + 0 + 6*s**2 - 1/210*s**5. Determine k, given that n(k) = 0.
-1
Let m(g) be the second derivative of 0 - 15*g + 5/2*g**2 + 1/8*g**5 + 0*g**4 - 5/4*g**3. Find x, given that m(x) = 0.
-2, 1
Let b = 63310 + -63307. Factor 1/2*n**2 + 0*n - 1/2*n**4 + 0 - 1/4*n**b + 1/4*n**5.
n**2*(n - 2)*(n - 1)*(n + 1)/4
Let k(j) be the third derivative of -j**7/42 + 133*j**6/24 + 45*j**5/2 - 4647*j**2. Factor k(z).
-5*z**2*(z - 135)*(z + 2)
Let p(o) be the second derivative of -867*o**5/100 - 1921*o**4/10 + 282*o**3 - 756*o**2/5 + 2964*o. Factor p(f).
-3*(f + 14)*(17*f - 6)**2/5
Let k be 5270/425 - -15*44/(-55). Solve 2/5*h**5 - 8/5*h + 8/5*h**4 - k - 13/10*h**2 + 13/10*h**3 = 0.
-2, -1/2, 1
Let w(l) = -2*l - 8. Let h = -10 - -5. Let p be w(h). Factor -6*z**2 + 7*z**p + 2*z**2 + 15*z.
3*z*(z + 5)
Let g(y) = 2*y + 11. Suppose -v + 2*x - 10 = 2*v, 0 = -5*v - 2*x - 22. Let r be g(v). Factor -7*d**4 - 3*d**5 - 6*d**4 - r*d + 6*d**3 + 13*d**4.
-3*d*(d - 1)**2*(d + 1)**2
Let b(q) be the first derivative of 3*q**4/20 + 103*q**3/3 + 11008*q**2/5 - 7396*q/5 - 29. Factor b(v).
(v + 86)**2*(3*v - 1)/5
What is k in 0*k + 57/4*k**3 + 0 - 51/2*k**2 - 3/4*k**4 = 0?
0, 2, 17
Solve -60/19*j**2 - 22/19 + 2/19*j**4 + 64/19*j + 16/19*j**3 = 0.
-11, 1
Let a = -73 - -805/11. Let p be (-173 + 173)/(-13 - (-2 - 2)). Determine c, given that p + 6/11*c - a*c**2 = 0.
0, 3
Let j be 6/(-16)*2720/(-255). Suppose -16/11*z**j + 2*z**3 - 32/11*z + 8/11 + 26/11*z**2 - 8/11*z**5 = 0. Calculate z.
-2, 1/2, 1
Let l(d) be the third derivative of 1/210*d**5 - 1/3*d**3 - 1/14*d**4 + 3*d - 2*d**2 + 0. Find w such that l(w) = 0.
-1, 7
Let f(l) be the third derivative of l**9/15120 + l**8/1680 + 11*l**5/12 - 6*l**2 + 6*l. Let s(y) be the third derivative of f(y). Factor s(i).
4*i**2*(i + 3)
Let z be (-1 - 1) + 6*(-98)/84. Let r = -8 + 4. Let w(c) = -3*c**2 + 4*c - 5. Let b(v) = 7*v**2 - 9*v + 11. Let p(f) = r*b(f) + z*w(f). Factor p(l).
-(l - 1)*(l + 1)
Suppose 390/7*u - 123/7*u**2 - 3/7*u**3 - 264/7 = 0. What is u?
-44, 1, 2
Let q = -456 - -456. Let b be -3 - 5/(-1) - q. Factor 12/11 + 14/11*y**3 - 32/11*y**b - 34/11*y.
2*(y - 3)*(y + 1)*(7*y - 2)/11
Let r = -49 + 91. Let x = -2351 + 2391. Factor -h**3 + r*h - 4*h**3 + h + 32*h - 30*h**2 - x.
-5*(h - 1)**2*(h + 8)
Factor -120741*o + 3575*o**2 - 1395*o**2 - 116879*o - 5*o**3.
-5*o*(o - 218)**2
Factor 1 - 325/2*n - 327/2*n**2.
-(n + 1)*(327*n - 2)/2
Let h(g) be the first derivative of -g**6/4 + 21*g**5/10 + 33*g**4/8 - 23*g**3/2 - 15*g**2/2 + 24*g - 762. Find r such that h(r) = 0.
-2, -1, 1, 8
Let g(p) be the second derivative of -p**5/4 + 65*p**4 - 5070*p**3 + 834*p. Find f, given that g(f) = 0.
0, 78
Suppose -425*x + 496 = -357*x + 180*x. Solve 75/2*p**x + 18*p**3 + 0 - 21/2*p**4 + 9*p = 0 for p.
-1, -2/7, 0, 3
Let b be (0 - 12)/((42/(-7))/6). Let r be (b - 4) + -3 - 5. Solve -2*p**2 + 0 + 21/4*p**4 + r*p - 1/2*p**3 = 0.
-4/7, 0, 2/3
Let z be (15/6 - 3)*2 - -10. Suppose 3*q**4 + 36*q - 163*q + 50*q + z + 36*q**2 - 18*q**3 + 47*q = 0. Calculate q.
1, 3
Let u(q) be the first derivative of 2*q**3/21 + 71*q**2/7 - 144*q/7 - 1510. Find i such that u(i) = 0.
-72, 1
Let s(k) be the first derivative of k**7/140 - 3*k**6/80 - 9*k**5/40 - 5*k**4/16 + 253*k**2/2 + 157. Let j(q) be the second derivative of s(q). Factor j(h).
3*h*(h - 5)*(h + 1)**2/2
Let k = 1181/55 + -3268/165. Find o such that -5*o - 55/3*o**2 + 5*o**3 + k*o**4 + 50/3 = 0.
-5, -1, 1, 2
Let h(a) = 450*a**3 + 43472*a**2 - 11630*a + 774. Let l(b) = 1800*b**3 + 173859*b**2 - 46519*b + 3095. Let g(s) = -18*h(s) + 4*l(s). Solve g(q) = 0.
-97, 2/15
Let s(f) be the third derivative of -f**6/135 - 1964*f**5/135 - 3925*f**4/108 - 109*f**3/3 - 6986*f**2. Factor s(w).
-2*(w + 981)*(2*w + 1)**2/9
Let c = 60353/80460 + -2/20115. Let v(b) be the first derivative of -c*b**4 - 18 - 1/2*b**2 + b**3 + 1/5*b**5 + 0*b. Determine f, given that v(f) = 0.
0, 1
Let a be (230/14)/(((-12)/(-4))/24). Let f = -131 + a. Factor -1/7*g**2 - 2/7*g + 0 + f*g**3.
g*(g - 1)*(3*g + 2)/7
Find y such that -5*y**5 - 29*y - 5134*y**3 + 10*y**2 - 39*y - 318*y**2 + 4717*y**3 - 182*y**4 = 0.
-34, -1, -2/5, 0
Let q(g) = -3*g**3 + 36*g**2 - 142*g + 188. Let m(f) = 4*f**3 - 750 + 12*f**3 - 144*f**2 - 4*f**3 - 1049*f + 1616*f. Let r(l) = 2*m(l) + 9*q(l). Solve r(d) = 0.
4
Factor 9*l + 1/3*l**2 + 26/3.
(l + 1)*(l + 26)/3
Let w(d) be the second derivative of d**5/30 + 31*d**4/18 - d**3/9 - 31*d**2/3 - 1051*d. Suppose w(k) = 0. Calculate k.
-31, -1, 1
Let g(o) be the first derivative of 11/15*o**2 + 82 + 8/5*o - 2/45*o**3. Factor g(q).
-2*(q - 12)*(q + 1)/15
Let a(w) = 7887*w - 102529. Let n be a(13). Factor -2/5*h**n - 4/5 + 6/5*h.
-2*(h - 2)*(h - 1)/5
Let h be (4/(-12))/((-38)/12 + 3). Let a(p) = 3*p**5 + 4*p**4 + 4*p**3 - 2*p**2 - 7*p. Let t(z) = z**5 - z + 1. Let b(k) = h*t(k) - a(k). Factor b(g).
-(g - 1)*(g + 1)**3*(g + 2)
Find b, given that -749227*b**4 - 23*b + 749217*b**4 - 39*b**2 + 3*b - 26*b**2 - 55*b**3 = 0.
-4, -1, -1/2, 0
Let v(m) be the third derivative of 1/20*m**6 + 0 + 1/4*m**4 - 2/3*m**3 + 4/15*m**5 - 59*m**2 + 0*m. Determine j, given that v(j) = 0.
-2, -1, 1/3
Let d = 14326 + -14322. Let n(k) be the third derivative of -1/20*k**6 + 0*k - 1/5*k**5 + 0 - k**2 + 3/2*k**3 + 1/70*k**7 + 1/4*k**d. Factor n(i).
3*(i - 3)*(i - 1)*(i + 1)**2
Let d(q) be the third derivative of -q**6/480 + 5*q**5/32 + 13*q**4/16 - 15*q**3 - q**2 + 167. Let t(p) be the first derivative of d(p). Factor t(u).
-3*(u - 26)*(u + 1)/4
Let n(v) = 76*v - 300. Let q be n(-22). Let m be 6/10 + (q/40)/(-17). Suppose -w**3 + m*w**4 + 0 - 2*w**5 - 1/2*w**2 + 0*w = 0. What is w?
-1/4, 0, 1
Solve 6/5 + 97/10*b - 7*b**2 = 0 for b.
-4/35, 3/2
What is u in 18*u**2 - 352/7*u + 72/7*u**3 - 408/7 + 2/7*u**4 = 0?
-34, -3, -1, 2
Let k(v) be the third derivative of -v**6/40 - 7*v**5/5 - 77*v**4/8 - 25*