**2 + p*m**3 - 11. Solve h(g) = 0 for g.
2
Suppose 4*d = 5*x - 53, 5*x - 70 + 52 = -d. Let c be (10/75)/(d/140*-12). Factor -c*f**2 - 20/9*f + 22/9.
-2*(f - 1)*(f + 11)/9
Let x(u) be the second derivative of 5*u**7/42 + 31*u**6/3 + 1021*u**5/4 + 775*u**4 + 750*u**3 + 1141*u - 1. Solve x(p) = 0 for p.
-30, -1, 0
Suppose g = 5*p + 27, -5*g + p = -4*g - 39. Let u be (-87)/(-21) + (-6)/g. Factor -y + 10*y + 7*y**2 - y**4 + 0*y**u + 2*y**3 - 5*y.
-y*(y - 4)*(y + 1)**2
Let j(y) = -y**2 + y + 1. Let h be 6/(-21) - 321/(-21). Let p be (25/h + 0)*15. Let r(u) = 30*u**2 + 55*u + 295. Let m(f) = p*j(f) + r(f). Solve m(s) = 0 for s.
-8
Let m(w) = -7*w**4 - 12*w**3 - 5*w**2 + 10*w + 5. Let r = -626 + 625. Let q(f) = f**4 + 2*f**3 + f**2 - 2*f - 1. Let l(t) = r*m(t) - 5*q(t). Factor l(d).
2*d**3*(d + 1)
Let d(g) = -16*g**3 - 128*g**2 - 25*g - 200. Let w be d(-8). Factor -8/3*f + w - 1/3*f**2.
-f*(f + 8)/3
Let m(g) be the second derivative of -g**8/8960 + g**7/2016 + g**6/1440 + 47*g**4/12 + 52*g. Let t(f) be the third derivative of m(f). Factor t(i).
-i*(i - 2)*(3*i + 1)/4
Let 7*d**4 - d**3 + 18*d**2 - 554949*d**5 + 554950*d**5 - 25*d**4 = 0. Calculate d.
-1, 0, 1, 18
Solve -1568*t - 22264*t**3 - 227*t**2 + t**4 + 22318*t**3 + 899*t**2 = 0.
-28, 0, 2
Let j(s) be the first derivative of -s**5/120 - 5*s**4/36 + s**3/9 + 10*s**2/3 - 122*s - 39. Let b(a) be the first derivative of j(a). Factor b(u).
-(u - 2)*(u + 2)*(u + 10)/6
Let t(x) be the third derivative of x**6/60 + 101*x**5/10 + 10201*x**4/4 + 1030301*x**3/3 - 1123*x**2. Solve t(f) = 0.
-101
Let m(j) be the second derivative of j**7/84 + 7*j**6/180 - 2*j**5/15 - j**4/3 - 79*j**3/3 + 147*j. Let h(b) be the second derivative of m(b). Factor h(c).
2*(c - 1)*(c + 2)*(5*c + 2)
Let f = -2667 - -16003/6. Let m(l) be the third derivative of 0 - 23*l**2 - 1/90*l**5 + f*l**4 + 0*l + 0*l**3. Factor m(j).
-2*j*(j - 6)/3
Let a(b) = 25*b**2 + 9*b - 22. Let j be a(3). Factor -14*f - 9*f - f**3 - 11 + j*f**2 - 243*f**2.
-(f + 1)**2*(f + 11)
Let a(c) = 3*c**2 - 180*c - 855. Let n(k) = 2*k**2 - 179*k - 845. Let g(q) = 5*a(q) - 6*n(q). Solve g(x) = 0 for x.
-53, -5
Suppose -81*o + 165 = -159. Let b be (-20)/1320 + 4/22. Factor 1/6*u**o + 0*u**3 + b*u**5 + 0 + 0*u**2 + 0*u.
u**4*(u + 1)/6
Let z be (41807/(-1552) + 27)/(6/80). Find c such that -z*c**5 - 9/2*c**4 - 5/3*c**3 + 0*c + 0 + 0*c**2 = 0.
-5, -2/5, 0
Let l(m) be the first derivative of m**5 + 25*m**4 + 580*m**3/3 + 640*m**2 + 960*m + 795. Factor l(u).
5*(u + 2)**2*(u + 4)*(u + 12)
Let n = 70073/27024270 - 2/69293. Let a(x) be the third derivative of -n*x**5 - 5/39*x**3 + 0*x - 25*x**2 + 0 - 1/26*x**4. Factor a(p).
-2*(p + 1)*(p + 5)/13
Suppose -2*i + 3*k + 2 = -7, 0 = -i + 3*k + 9. Let j be 0/1 - (i + 4/(-5)). Determine c, given that 0*c - 16/5 + j*c**3 + 12/5*c**2 = 0.
-2, 1
Let y = -1301 + 1302. Let k be 9/y - 122/22. Factor -2/11*r**2 - k*r**4 + 30/11*r**3 - 4/11*r + 14/11*r**5 + 0.
2*r*(r - 1)**3*(7*r + 2)/11
Suppose -7*a + 34 + 22 = 0. Suppose i + a = 5*z, -5*z - 61*i = -66*i. Factor -1/3*r**z + 0 - 1/3*r.
-r*(r + 1)/3
Let b(v) = -6*v**4 + 35*v**3 + 24*v**2 - 4*v - 17. Let w(g) = -g**4 + 6*g**3 + 4*g**2 - 3. Let q(o) = -12*b(o) + 68*w(o). Solve q(u) = 0 for u.
-2, 0, 2, 3
Let y be (-2)/(-4) + (76 - 75)/(2 - 1). Let a(i) be the first derivative of y*i - 3/4*i**4 + 9/4*i**2 - 9/10*i**5 + i**3 - 24 - 1/4*i**6. Factor a(g).
-3*(g - 1)*(g + 1)**4/2
Factor -8*y**4 - 497*y**3 + 1019*y**3 - 48*y + 8*y**2 + 18*y**4 - 493*y**3 + y**5.
y*(y - 1)*(y + 3)*(y + 4)**2
Let i be 18/(-21)*(20/(-85) - 10230/2040). Factor i*s + 0 + 1/4*s**2.
s*(s + 18)/4
Let x(n) be the first derivative of 2*n**6/3 + 56*n**5/5 - 8*n**4 - 1096*n**3/3 + 14*n**2 + 1040*n + 204. Suppose x(t) = 0. What is t?
-13, -5, -1, 1, 4
Let l(i) be the second derivative of -3*i**6/160 - 7*i**5/20 - 3*i**4/8 + 3*i**3 - i**2 + 140*i. Let q(d) be the second derivative of l(d). Factor q(h).
-3*(h + 6)*(9*h + 2)/4
Factor 11*k - 1/3*k**2 - 260/3.
-(k - 20)*(k - 13)/3
Let p be 130/50 - (-74)/185. Let z(v) be the second derivative of 0*v**2 - 3/140*v**5 - 1/14*v**4 + 45*v - 1/14*v**p + 0. Factor z(w).
-3*w*(w + 1)**2/7
Factor -5*j**4 + 316*j**2 + 5*j**4 - 41*j**3 + 168 - 27*j**3 - 4*j**4 - 91136*j + 90724*j.
-4*(j - 2)*(j - 1)**2*(j + 21)
Let b(l) be the third derivative of l**5/300 + 33*l**4/40 + 93*l**3/5 + 711*l**2. Find j such that b(j) = 0.
-93, -6
Suppose 9 = 3*v - 6. Suppose 0 = -2*w + 2*i + 6, i = v*w - 0*i - 3. Factor -8 + w*o**2 - 6*o**2 - 12*o + 0*o**2 + 2*o**2.
-4*(o + 1)*(o + 2)
Let b = 448 - 446. Factor -3*s**2 + 33*s - 12*s**2 + 12*s + 12*s**b.
-3*s*(s - 15)
Let r(c) be the third derivative of 1/1155*c**7 + 0*c**4 + 8/165*c**5 - 75*c**2 - 2/165*c**6 + 0 + 0*c + 0*c**3. Let r(x) = 0. Calculate x.
0, 4
Suppose -649*o + 634*o + 90 = 0. Let w(c) be the second derivative of 15*c - 27/28*c**4 - 3/7*c**2 + 0 - 13/14*c**3 - 69/140*c**5 - 1/10*c**o. Factor w(g).
-3*(g + 1)**3*(7*g + 2)/7
Let k(j) = -j**3 - 47*j**2 + 46*j + 12. Let r be k(-48). Factor -r - 2*u**2 + 26*u + 50*u - 34*u.
-2*(u - 18)*(u - 3)
Suppose 69*x = 210 + 135. Let a(u) be the second derivative of 0 - 2*u + 22/5*u**x + 23/3*u**4 + 2/3*u**6 + 0*u**2 + 4*u**3. Factor a(p).
4*p*(p + 1)*(p + 3)*(5*p + 2)
Let w(y) be the first derivative of y**9/3024 - 23*y**3/3 + 2*y + 34. Let b(x) be the third derivative of w(x). Factor b(g).
g**5
Factor 43176*f**2 + 4*f**4 - 134*f**3 - 272*f - 42760*f**2 - 14*f**3.
4*f*(f - 34)*(f - 2)*(f - 1)
Let n = 1666 + -931. Let z be 2/(18/n) - 0. Let -40*v - 5*v**5 - z*v**2 - 75*v**3 - 95/3*v**4 - 20/3 = 0. What is v?
-2, -1, -1/3
Let g(i) be the first derivative of -2*i**3 + 43 - 1/14*i**6 + 15/14*i**2 + 0*i + 9/7*i**4 - 6/35*i**5. Suppose g(q) = 0. What is q?
-5, 0, 1
Factor 1764735*n - 5145*n**2 + 29*n**3 - 69*n**3 + 45*n**3 - 201768035.
5*(n - 343)**3
Let f(i) be the third derivative of 1/42*i**7 + 5/6*i**3 - 12 + 0*i**4 + 0*i**6 - 3*i**2 + 0*i - 1/6*i**5. Factor f(x).
5*(x - 1)**2*(x + 1)**2
Let n(u) = -u**3 - 11255*u**2 - 22572*u - 11331. Let d(w) = 1876*w**2 + 3762*w + 1888. Let j(i) = 26*d(i) + 4*n(i). Factor j(o).
-4*(o - 941)*(o + 1)**2
Find w such that -3 + 77 - 1140*w**2 + 72*w + 1138*w**2 = 0.
-1, 37
Suppose -7/2*w**3 - 1/2*w**2 + 1/4*w**5 + 7/4 + 13/4*w - 5/4*w**4 = 0. Calculate w.
-1, 1, 7
Let d(r) = 12*r**3 - 3494*r**2 - 51*r - 17. Let f(k) = 2*k**3 - 582*k**2 - 9*k - 3. Let u(y) = 6*d(y) - 34*f(y). Factor u(h).
4*h**2*(h - 294)
Factor 3*s + 19*s**2 - 42*s**3 + 115*s**3 + 3*s**2 - 66*s**3.
s*(s + 3)*(7*s + 1)
Solve -130*c + 18*c**2 + 9*c**2 - 54 - 204 + 7*c - 24*c**2 = 0 for c.
-2, 43
Let i be 12 - 1 - 40*(-10)/(-50). Factor 5/11*x + 0 + 6/11*x**2 + 1/11*x**i.
x*(x + 1)*(x + 5)/11
Let j(c) be the third derivative of -2*c**4/3 + 19*c**3 - 11*c**2 - 5. Let q be j(7). Factor 3/5 - 4/5*l + 1/5*l**q.
(l - 3)*(l - 1)/5
Let m(u) be the first derivative of -u**6/6 - 23*u**5/5 - 61*u**4/4 - 17*u**3/3 + 31*u**2 + 40*u - 730. Solve m(x) = 0.
-20, -2, -1, 1
Let o be -2 + -5*(-8)/10. Suppose o*w - w = 68. Determine d, given that -w*d**2 - 74*d**2 + 141*d**2 = 0.
0
Let n be -10 - -10 - (-6)/(-1). Let z be (-2)/(-4)*(2 + n)/(-4). Factor -5/4*b + z + b**2 - 1/4*b**3.
-(b - 2)*(b - 1)**2/4
Let g(l) be the third derivative of -2/105*l**7 + 3/5*l**6 + 0 - 10*l**3 - 4*l + 7*l**2 - 16/5*l**5 + 23/3*l**4. Factor g(o).
-4*(o - 15)*(o - 1)**3
Let k(o) be the second derivative of 1/21*o**3 - 1/7*o**2 + 1/42*o**4 + 44*o + 0 - 1/70*o**5. Solve k(s) = 0.
-1, 1
Let r(c) be the first derivative of c**7/420 + 2*c - 53. Let z(a) be the first derivative of r(a). Factor z(q).
q**5/10
Let z = 1747587/5 - 349511. Solve -z*l + 0 + 2/5*l**5 + 2/5*l**4 - 56/5*l**2 - 24/5*l**3 = 0 for l.
-2, -1, 0, 4
Let i(g) = -2*g**3 + 7*g**2 + 6*g - 6. Let c be i(4). Let -470*q**c - 3*q**3 + 473*q**2 + 0*q**3 = 0. Calculate q.
0, 1
Let u = -9617991/11 + 875139. Let b = -776 + u. Factor 10/11*v - b*v**2 + 12/11.
-2*(v - 6)*(v + 1)/11
Let z(t) = 21*t**2 - 427*t + 564. Let k be z(19). Find l such that -k - 52/5*l - 4/5*l**2 = 0.
-8, -5
Let x be (80/(-12) - -2)/(5/(-15)). Let l be ((-84)/45)/x*-40. Find n such that -16/3*n**4 + 2/3*n**5 + 10*n**3 + 0 + l*n**2 - 32/3*n = 0.
-1, 0, 1, 4
Factor 32*a - 36*a**2 + 15*a**2 + 3 + 10*a**2 + 9*a**2 - 81.
-2*(a - 13)*(a - 3