/7). Let m(z) = z**4 - z**3 - z + 2. Let f(a) = 5*a**4 - 3*a**3 + 9*a**2 - a + 12. Let h(n) = j*m(n) + f(n). Solve h(c) = 0.
-1, 0, 5
Let n(u) be the first derivative of 4*u**5/5 - 56*u**4 - 164*u**3 + 820*u**2 - 928*u - 3831. Solve n(l) = 0.
-4, 1, 58
Let h be (-3)/5*(71 - 76). Suppose 2*w - 9*x = -6*x, -w = -h*x. Factor 39/8*s**2 - 3/8*s**5 - 3/2*s + w - 45/8*s**3 + 21/8*s**4.
-3*s*(s - 4)*(s - 1)**3/8
Factor 4*t**4 - 37870*t**3 + 37698*t**3 - 184*t**2 + 242*t + 110*t.
4*t*(t - 44)*(t - 1)*(t + 2)
Let v(r) be the third derivative of r**6/600 - r**5/50 - r**4/120 + r**3 - 782*r**2. Factor v(k).
(k - 5)*(k - 3)*(k + 2)/5
Factor -18/7 + 11/7*q - 1/7*q**2.
-(q - 9)*(q - 2)/7
Suppose 0 = 377*b + 221*b - 1063 - 133. Solve 35*p**b + 42875/3 - 1225*p - 1/3*p**3 = 0.
35
Let i(g) be the second derivative of g**4/12 - 165*g**3 + 245025*g**2/2 + 22*g. Suppose i(m) = 0. What is m?
495
Let v(q) be the second derivative of -13/8*q**3 - 3*q + 15/4*q**2 + 4 + 3/80*q**5 + 1/8*q**4. Factor v(k).
3*(k - 2)*(k - 1)*(k + 5)/4
Let g(b) = 4*b**4 - 10*b**3 - 30*b**2 - 14*b + 2. Let r(p) = -4 + 1142*p**4 - p - 1143*p**4 + 3 - p**3. Let a(w) = 2*g(w) + 4*r(w). Factor a(d).
4*d*(d - 8)*(d + 1)**2
Let w(o) be the second derivative of o**6/20 + 21*o**5/20 + 9*o**4/8 - 81*o**3 + o - 367. Factor w(k).
3*k*(k - 4)*(k + 9)**2/2
Suppose 3120 = -690*n + 2068*n + 364. Factor -12/7 - 2/7*a + 2/7*a**3 + 12/7*a**n.
2*(a - 1)*(a + 1)*(a + 6)/7
Find l, given that 2044*l**5 + 2050*l**5 + 35*l**4 - 6143*l**5 + 5*l**3 - 35*l**2 + 2044*l**5 = 0.
-1, 0, 1, 7
Let p = 457 + 189. Suppose -4*z - 47 + 2631 = 0. Determine o so that -p + o + o**2 + z = 0.
-1, 0
Let u be -3 - (530/(-70) + 1 + 3/(-7)). Let f(k) be the second derivative of -5*k - 1/27*k**u + 0 + 1/90*k**5 + 1/27*k**3 + 0*k**2. Let f(o) = 0. What is o?
0, 1
Let y be (-6)/4*(-580)/174. Let k(m) be the second derivative of 0*m**y - 20/3*m**3 - 5/2*m**4 + 1/6*m**6 - 15/2*m**2 + 12*m + 0. Solve k(n) = 0.
-1, 3
Suppose -i = v - 5*v - 4, 5*v + 5 = 4*i. Let o be -16 + (-14)/v - 22/(-7). Factor 0*w - 18/7*w**5 + 0 - 32/7*w**3 + 6*w**4 + o*w**2.
-2*w**2*(w - 1)*(3*w - 2)**2/7
Let j = 13363 - 13361. Let k(i) be the first derivative of -4/5*i - 108/5*i**3 - 36/5*i**j - 19. Solve k(v) = 0.
-1/9
Let f(p) be the first derivative of 40/13*p**4 + 21 + 32/13*p + 16/13*p**3 - 64/13*p**2 + 10/13*p**5. Factor f(t).
2*(t + 2)**2*(5*t - 2)**2/13
Let y(r) be the first derivative of r**6/72 + 5*r**5/6 + 95*r**4/24 - 13*r**3 - 58. Let z(t) be the third derivative of y(t). Solve z(i) = 0.
-19, -1
Let y = 30762 + -30757. Let j(p) be the first derivative of 39 - 16/3*p**3 + 0*p - 1/20*p**y + 0*p**2 - p**4. Factor j(w).
-w**2*(w + 8)**2/4
Let v be 6 - 20/130*13. Let y(a) be the second derivative of 25/12*a**2 + 1/72*a**v + 5/18*a**3 + 0 - 4*a. Suppose y(m) = 0. What is m?
-5
Factor 18191*o**3 - 18189*o**3 - 574*o - 92*o + 980 + 84*o**2.
2*(o - 5)*(o - 2)*(o + 49)
Let t(h) be the first derivative of 2*h**5/5 - 4*h**4 - 86*h**3 - 388*h**2 - 680*h - 4157. Determine q so that t(q) = 0.
-5, -2, 17
Let n be 21/(-91) - 6/(4680/(-245)). Let c(t) be the third derivative of 0*t - 1/18*t**5 - 1/180*t**6 + 0 - n*t**4 + t**3 - 29*t**2. Factor c(f).
-2*(f - 1)*(f + 3)**2/3
Let u = 564539 - 564537. Suppose 3/7*w**3 - 3/7*w - 3/7*w**4 + 3/7*w**u + 0 = 0. Calculate w.
-1, 0, 1
Let o(p) be the first derivative of 0*p**2 - 1/14*p**4 + 110 + 0*p + 22/21*p**3. Factor o(g).
-2*g**2*(g - 11)/7
Let o = -5124 - -5147. Let n(l) be the third derivative of -2/15*l**3 - o*l**2 + 0 - 1/50*l**5 + 0*l + 1/600*l**6 + 3/40*l**4. Factor n(s).
(s - 4)*(s - 1)**2/5
Let w(x) be the third derivative of x**5/390 - 5*x**4/6 - 88*x**3/13 + 3*x**2 - 422. Factor w(b).
2*(b - 132)*(b + 2)/13
Let h(f) = f**3 + 2*f**2 - 7*f - 2. Let t be h(2). Determine p, given that 2*p**2 + 140*p - 40*p + t*p**2 + 1250 = 0.
-25
Let t = 6950 + -6944. Let o(s) be the second derivative of 0 - 1/11*s**2 + 1/33*s**4 - 1/165*s**t + 15*s + 0*s**5 + 0*s**3. Factor o(i).
-2*(i - 1)**2*(i + 1)**2/11
Let k(t) be the second derivative of t**4/3 - 76*t**3/3 - 246*t**2 - 56*t + 18. Factor k(b).
4*(b - 41)*(b + 3)
Let 3*x - 22*x**3 + 8*x**4 - 7*x**4 + 6*x**3 - 39*x + 51*x**2 = 0. Calculate x.
0, 1, 3, 12
Let u = -22367 - -22370. Let t(j) be the first derivative of 5 + 0*j**u + 0*j + 3/10*j**4 - 4/5*j**2 + 2/25*j**5. Let t(y) = 0. What is y?
-2, 0, 1
Let a(i) be the first derivative of i**5/50 + 2*i**4/15 - 7*i**3/5 + 212*i + 60. Let k(z) be the first derivative of a(z). Let k(t) = 0. Calculate t.
-7, 0, 3
Factor -3*h**2 + 21 - 123*h + 2*h**2 + 143*h.
-(h - 21)*(h + 1)
Factor 537 + 183 + 730*w**2 - 5*w**3 + 28382*w - 29827*w.
-5*(w - 144)*(w - 1)**2
Let v be (-33)/(-21) - 15/(-35). Factor 23*f + 159 - 4*f**v - 79 + 9*f.
-4*(f - 10)*(f + 2)
Let p(w) be the second derivative of w**5/4 + 15*w**4/2 + 145*w**3/2 + 175*w**2 - 844*w. Determine q, given that p(q) = 0.
-10, -7, -1
Let y(r) be the second derivative of r**5/4 - 475*r**4/4 + 945*r**3/2 - 1415*r**2/2 - 6*r + 68. What is m in y(m) = 0?
1, 283
Let w(i) = -80*i**3 - 556*i**2 - 4276*i - 3734. Let l(p) = -11*p**3 - 79*p**2 - 611*p - 534. Let q(x) = -44*l(x) + 6*w(x). Factor q(c).
4*(c + 1)*(c + 13)*(c + 21)
Let z = -844227 + 844228. Suppose -3/4*g**2 - z - 1/2*g**3 + 2*g + 1/4*g**4 = 0. What is g?
-2, 1, 2
Let f be -872 + 873 - ((-1)/(-2) - 0). Let b(h) be the first derivative of 12 - 3/4*h**4 + 0*h**2 - 6/5*h**5 + 2*h**3 + 0*h + f*h**6. Factor b(v).
3*v**2*(v - 2)*(v - 1)*(v + 1)
Factor -647*n**3 - 192*n**3 - 22472*n - 4*n**4 - 45368*n**2 - 46*n**3 + 35*n**3.
-2*n*(n + 106)**2*(2*n + 1)
Let i(h) be the third derivative of -h**6/600 - h**5/100 + 13*h**4/120 + h**3/2 + 4803*h**2. Factor i(b).
-(b - 3)*(b + 1)*(b + 5)/5
Let l = -1/1639 + 8197/3278. Let r(s) be the second derivative of 0*s**3 + 0 + 14*s + 5/6*s**4 - l*s**2 + 0*s**5 - 1/6*s**6. Find t such that r(t) = 0.
-1, 1
Let t(p) be the first derivative of p**4/60 - p**3/30 - p**2/5 + 145*p - 193. Let y(q) be the first derivative of t(q). Factor y(g).
(g - 2)*(g + 1)/5
Factor 295*r - 4639 + r**2 - 6*r**2 + 0*r**2 + 649.
-5*(r - 38)*(r - 21)
Let l(x) = -94*x**3 - 3*x**2 + 3*x + 6. Let g be l(-4). Factor 9*a**2 - 9 + 2*a - 5959*a**3 - 5*a + g*a**3.
3*(a - 1)*(a + 1)*(a + 3)
Let f(q) = -q**2 + 2*q + 91. Let c be f(0). Let m = -87 + c. Factor 4*v - 15*v**2 + 11*v - m - 1 + 34*v**3 - 29*v**3.
5*(v - 1)**3
Let n(w) be the first derivative of -5*w**3/12 + 470*w**2 - 3755*w/4 + 768. Factor n(a).
-5*(a - 751)*(a - 1)/4
Let k(r) be the first derivative of 3*r**4/16 - 37*r**3/4 + 1173*r**2/8 - 2601*r/4 + 332. What is s in k(s) = 0?
3, 17
Let -400 + 1/3*j**2 - 235/3*j = 0. Calculate j.
-5, 240
Let h(x) be the second derivative of x**6/15 - 37*x**5/10 - 13*x**4/2 + 37*x**3/3 + 38*x**2 + 5395*x. Factor h(g).
2*(g - 38)*(g - 1)*(g + 1)**2
Solve -26/9*j**4 - 34 - 2/9*j**5 + 140/9*j**3 - 142/3*j + 44/9*j**2 = 0 for j.
-17, -1, 3
Let z be -3 + 414/10 + 4/(-10). Let u be z + (-3 + 1 - 1). Let -u*o - 8 + 25*o**2 + 23 - 2*o**3 - 3*o**3 + 0*o**2 = 0. Calculate o.
1, 3
Let x = 8 - 22/3. Let c = 22271/5 - 66803/15. Factor 0*f - c*f**2 + 0 - x*f**3.
-2*f**2*(f + 1)/3
Suppose -55*y**2 - 8*y**4 - 2*y**5 + 160 - 97*y**2 - 172*y + 51*y**3 + 70*y**3 + 55*y**3 - 2*y**5 = 0. What is y?
-8, -1, 1, 5
Solve -4/5*r**4 + 68/5*r**3 - 12*r**2 + 0 + 0*r - 4/5*r**5 = 0 for r.
-5, 0, 1, 3
Let s = -118 + 121. Suppose -s - 1 = -c. Factor 17*z**2 + 5*z**2 + 5*z**c + 4*z**3 - 4*z - 26*z**2 - z**4.
4*z*(z - 1)*(z + 1)**2
Factor 7*k**2 - 55*k + 100*k**2 + 330*k + 5*k**3 + 9*k**2 + 135 + 29*k**2.
5*(k + 1)**2*(k + 27)
Let s(r) = -7*r**2 - 482*r + 69. Let q be s(-69). Let v(u) be the second derivative of q*u**2 - 1/20*u**5 + 0 + 0*u**3 - 1/12*u**4 - 22*u. Factor v(c).
-c**2*(c + 1)
Let z(t) be the first derivative of 0*t**2 + 1/50*t**5 - 25 + 0*t + 0*t**4 - 1/30*t**3. Suppose z(d) = 0. Calculate d.
-1, 0, 1
Let h(q) be the second derivative of -q**4/6 + 53*q**3/3 + 23*q + 16. Factor h(u).
-2*u*(u - 53)
Let k(n) be the third derivative of 0*n + 0 - 1/28*n**4 + 0*n**3 + 1/140*n**6 + 67*n**2 + 1/735*n**7 - 1/210*n**5. Solve k(c) = 0 for c.
-3, -1, 0, 1
Let n = -2486699/18 - -138192. Let y = n - 374/9. Factor -y*s**2 + 1/2*s + 1/2 - 1/2*s**3.
-(s - 1)*(s + 1)**2/2
Let x(p) be the sec