16/11*z**2 + 136 - 10/33*z**3 + 24/11*z. Factor n(b).
2*(b - 3)*(b + 2)*(3*b - 2)/11
Let q = 8757 + -8754. Let i(g) be the first derivative of -2/9*g**q + 0*g**4 + 0*g + 1 + 2/15*g**5 + 0*g**2. Factor i(a).
2*a**2*(a - 1)*(a + 1)/3
Let j(x) be the third derivative of -34*x**7/315 - 107*x**6/30 - 1322*x**5/45 + 310*x**4/3 - 400*x**3/9 - 1312*x**2. Determine d, given that j(d) = 0.
-10, 2/17, 1
Let 2/9*h**3 - 64/3 + 20/9*h**2 - 64/9*h = 0. What is h?
-12, -2, 4
Let b = -123 + -127. Let p be ((-1125)/b)/(-1 - 8/(-2)). Factor 3/2*x**5 + 0 + 0*x + p*x**4 - 3/2*x**3 - 3/2*x**2.
3*x**2*(x - 1)*(x + 1)**2/2
Let s(h) be the first derivative of -2/11*h**2 - 1/110*h**5 + 6 - 31*h + 0*h**4 + 1/11*h**3. Let p(x) be the first derivative of s(x). Factor p(y).
-2*(y - 1)**2*(y + 2)/11
Let p(v) = -15*v + 3. Let l = 35 - 34. Let g be (112/32)/(l - 2/4). Let k(r) = r**2 + 31*r - 7. Let z(q) = g*p(q) + 3*k(q). Solve z(w) = 0.
0, 4
Let n(f) = -2*f**2. Let g(i) = i**2 + 6*i - 14*i + 7*i. Suppose h - 4*h - 8 = w, 5*w = -5*h. Let t(b) = w*g(b) + 3*n(b). Factor t(z).
-2*z*(z + 2)
Let y(d) = 18*d + 40. Let m be y(0). Factor 35*u**2 - m*u**2 - 6*u - 44*u.
-5*u*(u + 10)
Let l(f) = -15*f**3 + 405*f**2 + 855*f + 415. Let j(o) = -22*o**3 + 607*o**2 + 1280*o + 623. Let g(t) = -5*j(t) + 7*l(t). Suppose g(r) = 0. What is r?
-1, 42
Let k(s) be the third derivative of -s**5/60 + 7*s**4/24 - s**3/6 - 15*s**2. Let b be k(4). Factor 3*r**4 - 4475*r + 11*r**3 + b*r**2 - 4 + 4476*r + 2.
(r + 1)**2*(r + 2)*(3*r - 1)
Let o be ((-3 - -10) + 0)*(-4)/126*-9. Factor -5/3*b**o - 30 - 95/3*b.
-5*(b + 1)*(b + 18)/3
Let k(l) be the third derivative of -l**6/40 - 108*l**5/5 - 431*l**4/8 - 2*l**2 - 2272. Solve k(c) = 0.
-431, -1, 0
Suppose -5*u - 45 = -5*b, 5*b + 41 - 126 = -5*u. Factor -5*n**4 - 4*n**2 - 125 - 26*n**2 - 55*n - 145*n + 27*n**3 + b*n**3.
-5*(n - 5)**2*(n + 1)**2
Solve 491/11*b**2 + 71/11*b**3 + 281/11*b - 21/11*b**4 + 42/11 = 0 for b.
-3, -1/3, -2/7, 7
Let h = -2102369/21 + 300341/3. Factor -h*v**2 - 912/7*v - 34656/7.
-6*(v + 76)**2/7
Let i(g) be the second derivative of g**7/210 + 4*g**6/25 - 3*g**5/4 - 287*g**4/30 + 128*g**3/5 + 1872*g**2/5 + 4140*g. Find n such that i(n) = 0.
-26, -3, 4
Let q(z) be the second derivative of -z**4/24 + 35*z**3/6 - 1225*z**2/4 + 1503*z. Solve q(b) = 0 for b.
35
Let m(r) = 23*r + 1112. Let o be m(-48). Let b = 0 + 3. Factor 2*x**4 - o*x - 7*x**3 + 29*x**2 - 13*x**2 - b*x**3.
2*x*(x - 2)**2*(x - 1)
Factor 298*v + 345*v - 384 + 4*v**3 - 56*v**2 - 963*v + 2*v**4 + 4*v**3.
2*(v - 6)*(v + 2)*(v + 4)**2
What is c in 0 - 3/2*c + 3/2*c**5 + 3*c**4 - 3*c**2 + 0*c**3 = 0?
-1, 0, 1
Let z be ((-6825)/140 + (-22)/(352/60))*6/(-56). Solve -1/8*f**4 - 17/8*f**3 - z*f**2 - 43/8*f - 7/4 = 0.
-14, -1
Let l(k) be the second derivative of k**4/12 - 38*k**3 + k + 1297. Determine c so that l(c) = 0.
0, 228
Let d(g) be the third derivative of g**5/300 - 611*g**4/120 - 102*g**3/5 + 2*g**2 - 3701. Factor d(n).
(n - 612)*(n + 1)/5
Let m be (-52)/(-195) - 492/(-180). Let d(s) be the second derivative of -2/5*s**m + 0 + 12/5*s**2 - 1/10*s**4 + 6*s + 3/100*s**5. Find x, given that d(x) = 0.
-2, 2
Let z(k) = -3*k**2 - 165*k - 4. Let c be (-6)/10*(5 + (-200)/30). Let x(n) = 2*n**2 + 1. Let s(g) = c*z(g) + 4*x(g). Factor s(o).
5*o*(o - 33)
Factor -2/17*i**2 - 350/17*i - 692/17.
-2*(i + 2)*(i + 173)/17
Suppose 144*s - 104 - 184 = 0. Let m(i) be the second derivative of -10/3*i**3 - 2*i + 0*i**6 + 1/4*i**5 - 1/126*i**7 + 12*i**s - 5/18*i**4 + 0. Factor m(r).
-(r - 2)**3*(r + 3)**2/3
Determine n, given that -3680/3*n**2 + 0 - 2/3*n**3 - 1692800/3*n = 0.
-920, 0
Let p(o) be the second derivative of -o**4/24 + 301*o**3/12 - 2128*o. Determine s, given that p(s) = 0.
0, 301
Let i = 2749/5 - 263879/480. Let t(n) be the third derivative of -i*n**4 + 9*n**2 + 1/240*n**5 + 0 + 0*n + 0*n**3. What is d in t(d) = 0?
0, 5
Let v(d) be the first derivative of d**6/15 - 68*d**5/25 - 111*d**4/10 + 2720*d**3/3 + 8000*d**2 - 3151. Factor v(z).
2*z*(z - 25)**2*(z + 8)**2/5
Factor 2/9*r**2 - 98/9*r + 380/3.
2*(r - 30)*(r - 19)/9
Let u be (13 + -2)*32/8. Factor -5*r**2 + 32 + 8*r + 21*r**2 - 12*r**2 - u*r.
4*(r - 8)*(r - 1)
Let g be (-10)/(-6)*(-3484)/(-104) + (-2)/(-12). What is v in -6*v**4 + 0 - 238/5*v**3 + g*v**2 - 72/5*v = 0?
-9, 0, 2/5, 2/3
Let x(t) be the first derivative of t**5/20 - 29*t**4/16 + 43*t**3/2 - 72*t**2 - 216*t - 4104. Factor x(j).
(j - 12)**2*(j - 6)*(j + 1)/4
Let u = 737 + -717. Find b, given that 23*b**3 - u*b - 74*b**3 + 46*b**3 - 25*b**2 = 0.
-4, -1, 0
Let y(a) = -a**2 - 6*a + 8. Let l be y(-7). Suppose 4*m - l = -3*o + 4, -3 = -m + o. Factor -j**2 + 4*j**2 + 4*j**m - 4*j**2 + 12*j + 12.
3*(j + 2)**2
Suppose 0 - 80*c**2 + 56/5*c - 608/5*c**4 + 14*c**5 + 882/5*c**3 = 0. Calculate c.
0, 2/7, 2/5, 1, 7
Let s(r) be the third derivative of r**7/525 - 23*r**6/15 + 11781*r**5/25 - 304317*r**4/5 + 1193859*r**3/5 - 1377*r**2. Factor s(m).
2*(m - 153)**3*(m - 1)/5
Solve -510707250 - 1830*x**2 - 2/3*x**3 - 1674450*x = 0 for x.
-915
Let j(i) be the first derivative of i**4/20 + 34*i**3/3 + 165*i**2/2 + 6439. Factor j(c).
c*(c + 5)*(c + 165)/5
Let h(f) = 67*f**2 - 176*f + 59. Let q(w) = 36*w**2 + w**2 - 13 - 88*w - 3*w**2 + 43. Let b(l) = 2*h(l) - 5*q(l). Factor b(t).
-4*(t - 2)*(9*t - 4)
Let t(y) = 1468*y**3 - 1470*y**2 - 9*y - 22. Let i(g) = 733*g**3 - 735*g**2 - 4*g - 12. Let u(c) = -11*i(c) + 6*t(c). Factor u(q).
5*q*(q - 1)*(149*q + 2)
Let f(p) be the third derivative of p**5/15 + 14*p**4/3 - 760*p**3/3 - p**2 - 525. Factor f(d).
4*(d - 10)*(d + 38)
Let -160*m**3 + 104*m**4 + 364*m + 2151*m - 852*m**2 - 756 - 10*m**5 - 265*m = 0. What is m?
-3, 2/5, 3, 7
Let v(i) be the second derivative of -i**8/6720 + i**7/252 - i**6/60 - 3*i**5/5 + 5*i**4/4 - i + 38. Let a(b) be the third derivative of v(b). Solve a(d) = 0.
-2, 6
Let p(u) be the third derivative of 0*u**3 - 1/600*u**6 - 126*u**2 + 1/300*u**5 + 0 + 0*u**4 + 0*u. Factor p(w).
-w**2*(w - 1)/5
Let x(p) = p**2 - 8*p + 10. Let v be x(7). Factor -37*u**3 + 43*u**v - 15*u**2 + 6*u**2 + 3*u**4 - 12 - 24*u.
3*(u - 2)*(u + 1)**2*(u + 2)
Let h be ((-72)/(-30))/(0 + 6/20). Factor 3*i**4 - 2*i**3 - 2*i**4 + 6*i**2 + 2*i**2 + h*i - 3*i**4.
-2*i*(i - 2)*(i + 1)*(i + 2)
Let l(v) be the third derivative of v**5/15 + 2*v**4 - 3919*v**2. Find c such that l(c) = 0.
-12, 0
Let l = 266 + -158. Factor -39*c**3 + 42*c**3 - 6*c**4 - 2*c**5 + 3*c**5 + 46*c**2 + 72 - l*c.
(c - 3)*(c - 2)**3*(c + 3)
Let t(s) be the second derivative of 7/6*s**4 + 2*s**3 + 0*s**5 - 1 - 1/15*s**6 + 0*s**2 - 54*s. Factor t(z).
-2*z*(z - 3)*(z + 1)*(z + 2)
Let q be (-2)/6*(-4)/(23 + (-2886)/130). Factor 3*k**3 + q*k - 16/3*k**2 + 2/3.
(k - 1)**2*(9*k + 2)/3
Suppose -3*j - 8 = -c, -2*j + 1782*c - 40 = 1777*c. Factor -2/3*y**2 - 16*y + j.
-2*y*(y + 24)/3
Let p(h) be the second derivative of h**5/10 + 23*h**4/6 + 127*h**3/3 + 105*h**2 + 2*h + 211. Factor p(f).
2*(f + 1)*(f + 7)*(f + 15)
Let i(g) = -3*g + 8. Let s = 25 + -23. Let z be i(s). Find k, given that 21*k + 26*k - 47*k + k**z = 0.
0
Let d be 9*(8384/224 + 22). Find u, given that 384*u**3 + d*u**2 + 600/7*u**4 + 6*u**5 + 864/7*u + 0 = 0.
-6, -2, -2/7, 0
Suppose 409 = 3*i - 455. Let l be (i/(-138) + 2)*(2 + -3). What is g in -2/23*g**2 + 2/23 + l*g**3 - 2/23*g = 0?
-1, 1
Suppose 0 = 2*y - 3*t - 7, -4*y - t = -7*y. Let j be 4 + (y + -3)*5/5. Factor 16/5*k + j + 4*k**2.
4*k*(5*k + 4)/5
Let i(q) be the third derivative of q**5/15 - 127*q**4/6 - 172*q**3 + 969*q**2. Suppose i(n) = 0. Calculate n.
-2, 129
Suppose -3*q - 58513*z + 58512*z = -39, 2*z - 15 = z. Factor 0 - 2/5*l**3 - 38/5*l - q*l**2.
-2*l*(l + 1)*(l + 19)/5
Let m(a) = 6*a**3 + 21*a**2 - 3*a + 18. Let k = -545 + 554. Let p(c) = -3*c**3 - 11*c**2 + 2*c - 10. Let t(b) = k*p(b) + 5*m(b). Factor t(r).
3*r*(r + 1)**2
Let d(g) be the first derivative of -5/7*g**2 - 1/42*g**4 - 2/7*g**3 + 25*g - 28. Let f(t) be the first derivative of d(t). Factor f(u).
-2*(u + 1)*(u + 5)/7
Let u(y) be the third derivative of 1/15*y**5 + 2*y**2 - 3 + 0*y + 5/42*y**4 + 2/21*y**3 + 1/70*y**6. Let u(j) = 0. What is j?
-1, -1/3
Let k be -4*(109/763)/(4/(-28)*1). Suppose 5/3*b**2 + 5/3*b**k + 5*b - 5*b**3 - 10/3 = 0. Calculate b.
-1, 1, 2
Let z(x) be the second derivative of x**7/504 - 19*x**