 -39. Let u be (-4 - -10) + (-53)/y. Factor 0*v**2 + 2/9*v**3 - 2/9*v - 1/9 + u*v**4.
(v - 1)*(v + 1)**3/9
Let q(t) be the third derivative of t**8/6720 - t**7/420 + t**6/80 - 14*t**5/15 + 147*t**2. Let w(j) be the third derivative of q(j). Factor w(p).
3*(p - 3)*(p - 1)
Let a(x) = 5*x**3 + 95*x**2 + 280*x + 190. Let s(z) = -28*z**3 - 477*z**2 - 1400*z - 951. Let l(m) = -33*a(m) - 6*s(m). Solve l(o) = 0.
-2, -1, 94
Let w(a) be the second derivative of -33*a**6/10 - 201*a**5/10 + 355*a**4/4 - 88*a**3 - 18*a**2 - 15*a + 21. Solve w(c) = 0 for c.
-6, -2/33, 1
Let d = 44 + -15. Let j(a) = -7*a + 38. Let i be j(5). Factor -12*m - 14*m**2 - 33 + d + 2*m**2 - 4*m**i.
-4*(m + 1)**3
Let i(x) be the third derivative of x**8/1680 + x**7/126 - 67*x**4/24 - 15*x**2. Let l(q) be the second derivative of i(q). Factor l(c).
4*c**2*(c + 5)
Let n = 79147/65960 + 1/13192. Let u(f) be the second derivative of 0*f**2 + 0 + n*f**3 - 44*f - 1/15*f**4. Let u(v) = 0. What is v?
0, 9
Let o(h) be the second derivative of h**4/3 - 86*h**3 + 756*h**2 - 77*h - 8. Factor o(x).
4*(x - 126)*(x - 3)
Let h be ((-40)/48)/(4430/6). Let i = 3537/6202 - h. Factor -i*d**2 + 0 - 2/7*d**3 - 2/7*d.
-2*d*(d + 1)**2/7
Suppose 0 = -2420*z - 816*z + 55012. Let -625/3 + 1/3*x**5 + 674/3*x**3 - 225*x + 574/3*x**2 + z*x**4 = 0. What is x?
-25, -1, 1
Let p be ((-2)/5 - (-34)/85) + (-12)/(-24). Let a(f) be the second derivative of f**2 - 1/10*f**5 + 2*f + p*f**4 - f**3 + 0. Factor a(n).
-2*(n - 1)**3
Let p(l) = -l**3 + 52*l**2 - 224*l + 311. Let a = 14 - 17. Let c(f) = -4*f**3 + 156*f**2 - 672*f + 936. Let w(i) = a*c(i) + 8*p(i). Suppose w(d) = 0. What is d?
4, 5
Let z(t) = 2*t**2 - 17*t - 16. Let u be z(11). Let o be u/(3510/(-576)) - 14/(-2). Factor -3/5*r**2 + 6/5*r - o.
-3*(r - 1)**2/5
Let g(i) = 77*i + 9428. Let x be g(-122). Let o(y) be the second derivative of -x*y + 0 - 5/12*y**4 - 55/3*y**3 - 605/2*y**2. Find j, given that o(j) = 0.
-11
Let a = 58516/51765 + 92/7395. Determine p so that 8/7*p - 4/7*p**2 + 4/7*p**4 + 0 - a*p**3 = 0.
-1, 0, 1, 2
Let p(k) = 5*k**2 - 12*k + 40. Let w(o) = -11*o**2 + 26*o - 75. Let z(t) = -t**2 + t + 2. Let s(m) = w(m) - 2*z(m). Let y(a) = 7*p(a) + 4*s(a). Factor y(l).
-(l - 6)**2
Suppose l + 0 = -3*s - 7, -3*l = -2*s - 12. Suppose -47*f**2 + 220*f - 115*f**3 + 120 + 17*f**4 - 203*f**l + 28*f**4 - 20*f**4 = 0. What is f?
-2, -2/5, 1, 6
Factor 8*x**3 - 28*x - 42*x**3 - 116*x + 12*x**3 - 57*x**2 + 19*x**3.
-3*x*(x + 3)*(x + 16)
Factor 694*s + 4232*s - 6*s**3 - 1188*s**2 - 2115 - 201*s**2.
-3*(s - 3)*(s + 235)*(2*s - 1)
Let h be ((-108)/(-24))/((-3)/(-2)). Factor 6*c**h + 5*c**3 - 3*c**3 - c**4 - 6*c**3 - c**2.
-c**2*(c - 1)**2
Let g be (-3168)/528 - (5/(-2))/((-15)/(-60)). What is l in -4/5*l**2 + 2/5 + 0*l + 0*l**3 + 2/5*l**g = 0?
-1, 1
Let s(u) = -16*u**3 - 3602*u**2 - 7302*u + 36. Let l(g) = -6*g**3 - 1441*g**2 - 2921*g + 14. Let a(d) = 18*l(d) - 7*s(d). Factor a(i).
4*i*(i - 183)*(i + 2)
Let g(v) be the second derivative of v**4/48 - 29*v**3/6 - 2*v - 1. Factor g(b).
b*(b - 116)/4
Let z = 549 + -477. Let n be 9/z*(-5 + 23 + 0). Factor -3/4*q**2 + n*q + 0.
-3*q*(q - 3)/4
Let m(q) be the second derivative of -15*q**2 + 0*q**4 - 30*q + 35/6*q**3 + 0 - 1/4*q**5. Solve m(r) = 0.
-3, 1, 2
Factor -155*l - 142 - 140*l - 140*l**2 + l**3 + 12*l.
(l - 142)*(l + 1)**2
Let i(r) be the first derivative of -196*r - 28*r**2 - 21 - 4/3*r**3. Factor i(w).
-4*(w + 7)**2
Let s be ((-1)/(-53) + 9555/4823)/1. Factor -3/2 - 1/2*k + k**s.
(k + 1)*(2*k - 3)/2
Suppose 5 = 219*g - 218*g. Let u(w) be the second derivative of 0 + 0*w**2 + 3/14*w**3 + 1/140*w**g - 1/14*w**4 + 15*w. Solve u(p) = 0 for p.
0, 3
Factor 774/7 - 776/7*x + 2/7*x**2.
2*(x - 387)*(x - 1)/7
Let s be (-4 - (-156)/13)/(1/1). Let p(b) be the first derivative of 4/27*b**3 + 8/9*b + s + b**2. Suppose p(x) = 0. Calculate x.
-4, -1/2
Factor -2/5*d**4 - 86/5*d**3 - 164/5*d**2 + 0 + 0*d.
-2*d**2*(d + 2)*(d + 41)/5
Suppose 10*d = 4*z + 74, 3*z - 4*d - 1453 = -1456. Factor 36 - 1/3*t**4 - z*t**2 + 14/3*t**3 + 12*t.
-(t - 6)**2*(t - 3)*(t + 1)/3
Factor -2*k + 1/9*k**2 - 27.
(k - 27)*(k + 9)/9
Let i(q) be the first derivative of -2*q**5/25 + 152*q**4/5 - 240*q**3 + 3584*q**2/5 - 4768*q/5 + 446. What is g in i(g) = 0?
2, 298
Let o(q) be the first derivative of 3*q**5/5 + 129*q**4/4 + 41*q**3 - 129*q**2/2 - 126*q + 1344. Factor o(i).
3*(i - 1)*(i + 1)**2*(i + 42)
Let s(f) = -5*f + 10*f - 3 - 3*f - 3*f. Let t be s(-5). Factor 6 - 14*n - 10 + 4*n + 5*n**t - 11.
5*(n - 3)*(n + 1)
Let g(z) = -14*z**3 - 1842*z**2 + 798*z + 794. Let j be g(-132). Suppose 45/4*i**j + 9 + 24*i - 9/4*i**3 - 3/2*i**4 = 0. Calculate i.
-2, -1/2, 3
Let d = -11219 + 11224. Let p(m) be the first derivative of 1/2*m**4 + 0*m**2 + 0*m - 35 - 1/5*m**d + m**3. Factor p(b).
-b**2*(b - 3)*(b + 1)
Solve -6/5*o**3 + 11/10*o + 1/10*o**5 + 0 - o**2 + o**4 = 0 for o.
-11, -1, 0, 1
Let n(v) = -v**3 + 18*v**2 + 24*v + 63. Let u be n(20). Let j = -257 - u. Factor 2/11 + j*d - 2/11*d**2.
-2*(d - 1)*(d + 1)/11
Let l be (-276)/(-130870)*10/3. Let c = l + 1102/5121. Factor c*j**3 + 2*j + 4/3*j**2 + 8/9.
2*(j + 1)**2*(j + 4)/9
Factor -2337*w**2 - 4795*w**2 + 98*w**3 - 1986 - 147*w**3 + 45*w**3 + 14276*w - 5154.
-4*(w - 1)**2*(w + 1785)
Let r(o) = -13*o**2 + 14*o + 26. Let n = -537 - -512. Let q(p) = 55*p**2 - 55*p - 105. Let k(a) = n*r(a) - 6*q(a). Factor k(y).
-5*(y + 2)**2
Let p(w) = -w**2 - 11*w - 2. Let h be p(-8). Suppose 0 = -2*d + 5*d - 9. Factor -31*f + 0*f**2 + h*f - d*f**2.
-3*f*(f + 3)
Let p(n) be the first derivative of n**4/2 - 3896*n**3/21 + 135803*n**2/7 - 77284*n/7 - 4008. Suppose p(o) = 0. Calculate o.
2/7, 139
Factor -61*b**3 - 3660*b + 3841/2*b**2 + 1800 + 1/2*b**4.
(b - 60)**2*(b - 1)**2/2
Let y(z) be the first derivative of -z**3/9 - 5*z**2 + 136*z/3 + 1121. Factor y(k).
-(k - 4)*(k + 34)/3
Let n(o) = -o**3 + 6*o**2 - 6*o + 7. Suppose 3*p + p - 20 = 0. Let g be n(p). Solve 4*r**3 + 16 - 3*r - 16*r**2 - 2*r + 3*r - g*r = 0 for r.
-1, 1, 4
Let o(r) = -268*r**3 - 1607*r**2 - 2437*r - 56. Let i(m) = -m**3 + m**2 + 2*m - 2. Let w(g) = i(g) - o(g). Suppose w(x) = 0. What is x?
-3, -2/89
Let v be 56/140 + (-88)/(-5). Let r(o) be the second derivative of -18*o - 8*o**3 - 4/3*o**4 + 0 - v*o**2. Solve r(q) = 0.
-3/2
Suppose 15 = 3*k + 3*o, 2*k + o - 10 = 2*o. Suppose -22 = -k*g + 3*g. Find y, given that 3 + 18*y**2 - g + 13*y**2 - 20*y - 19*y**2 = 0.
-1/3, 2
Let f(d) be the third derivative of d**7/300 + 17*d**6/300 + 14*d**5/75 + d**4/5 - 47*d**3 + 47*d**2. Let l(x) be the first derivative of f(x). Factor l(z).
2*(z + 1)*(z + 6)*(7*z + 2)/5
Let a(x) be the first derivative of -x**6/30 - 331*x**5/25 + 999*x**4/20 - 1001*x**3/15 + 167*x**2/5 - 865. Factor a(l).
-l*(l - 1)**3*(l + 334)/5
Let p(y) be the second derivative of -95*y + 65/12*y**4 + 0 - 1/4*y**5 + 0*y**3 + 0*y**2. Find c such that p(c) = 0.
0, 13
Let w be 22/537*(-307)/(-4) + -3. Let c = 4/179 + w. Determine r, given that 0*r - 1/6*r**2 + c = 0.
-1, 1
Let z(j) be the second derivative of j**7/840 + j**6/240 + j**5/240 - 39*j**2 + 141*j. Let w(n) be the first derivative of z(n). Factor w(c).
c**2*(c + 1)**2/4
Let a = 7277 - 4439. Let n = 6164 - a. Factor -3335 + n + 6*g + 0*g**2 + 3*g**2.
3*(g - 1)*(g + 3)
Suppose -2198*r - 924*r**2 + 648*r - 484*r**3 + 653*r + 456*r = 0. What is r?
-21/22, 0
Suppose -q - 131 = -12. Let t be ((-1)/3)/(-3 - q/42). What is j in -t*j - 363*j**2 + 363*j**2 + 2*j**3 = 0?
-1, 0, 1
Let p(y) be the third derivative of -y**7/350 + 3*y**6/100 + 19*y**5/100 - 3*y**4/5 + 2*y**2 + 15*y. Find t such that p(t) = 0.
-3, 0, 1, 8
Let q(h) = -h**3 + 12*h**2 + 15*h - 53. Let a be q(13). Let j be 12/(-20) - a/20. Suppose 0 + j*k**2 + 3/8*k + 3/8*k**3 = 0. What is k?
-1, 0
Factor -3*q**3 - 16/3*q**2 - 160/3 + 724/3*q.
-(q - 8)*(q + 10)*(9*q - 2)/3
Let f(h) be the third derivative of 1/70*h**7 + 0*h**3 + 183*h**2 + 0 + 0*h + 0*h**4 + 81/20*h**5 - 9/20*h**6. Suppose f(u) = 0. What is u?
0, 9
Let p(s) = 27*s**4 + 1024*s**3 - 3501*s**2 + 660*s + 4. Let n(w) = 28*w**4 + 1026*w**3 - 3499*w**2 + 660*w + 6. Let j(d) = 2*n(d) - 3*p(d). Solve j(q) = 0.
-44, 0, 1/5, 3
Let t = -177 - -147. Let l be (-80)/t*3/6. What is d in -2/3*d**2 - 2/3 - l*d = 0?
-1
Let w(f) be the third derivative of f**6/105 + 