2*c + 1. Factor b(u).
-5*(u - 528)*(u + 2)**2
Let o(j) be the first derivative of j**5/70 + j**4/14 - 13*j**3/21 - 15*j**2/7 + 95*j + 84. Let p(n) be the first derivative of o(n). Factor p(w).
2*(w - 3)*(w + 1)*(w + 5)/7
Let l(b) be the second derivative of b**6/3240 - b**5/27 + 50*b**4/27 + 191*b**3/6 + 5*b - 2. Let k(x) be the second derivative of l(x). Solve k(u) = 0.
20
Let f(t) be the first derivative of 2/3*t**3 - 14 + t**4 + 0*t - t**2. Factor f(c).
2*c*(c + 1)*(2*c - 1)
Factor -2 + 9/8*s**4 + 21/4*s - 29/8*s**2 - 1/8*s**5 - 5/8*s**3.
-(s - 8)*(s - 1)**3*(s + 2)/8
Suppose -3*t + j = 36, 4*t - 2*t + 24 = -j. Let q = -5 - t. Factor -q*u**2 + u**2 - 1 + u**3 + 2*u**2 + 3*u + u**2.
(u - 1)**3
Let t be 608/190*(-25)/(-20). Let w be 12*6/57*(-2)/(-6). Solve 2/19*i**5 + 0 - 4/19*i**2 - w*i**t + 10/19*i**3 + 0*i = 0 for i.
0, 1, 2
Let h be (-270)/20*(-2)/3. Suppose r - 11 = -h. Solve -2 - 2*j**2 + j**2 + 3*j**2 - r - 2*j = 0 for j.
-1, 2
Factor 258 - 128*y - 1/2*y**2.
-(y - 2)*(y + 258)/2
Let f(m) = -8*m**2 - 1114*m - 38083. Let q(k) = 52*k**2 + 7240*k + 247540. Let h(t) = 32*f(t) + 5*q(t). Factor h(o).
4*(o + 69)**2
Let m = 355037/95100 - -1/31700. Let b(d) be the second derivative of 49/5*d**4 - 8/5*d**2 + m*d**3 + 0 - 14*d. Factor b(l).
4*(7*l + 2)*(21*l - 2)/5
Let p(o) be the second derivative of -15*o + 3/2*o**2 - 1/4*o**4 + 0 + 0*o**3. Find j such that p(j) = 0.
-1, 1
Suppose -4*v = 2*u - 1006, u - 2*u + 3*v + 493 = 0. Let f = u - 496. Suppose 16*d**4 - 84/5*d**5 + 236/5*d**f - 72/5*d**2 - 112/5*d + 32/5 = 0. Calculate d.
-1, 2/7, 2/3, 2
Let d(u) be the first derivative of u**7/42 + u**6/24 - u**2 - 25*u + 44. Let j(b) be the second derivative of d(b). Factor j(i).
5*i**3*(i + 1)
Let q(f) = 36*f - 108. Let m be q(4). Factor 15*y + m - 6*y - 9*y - 4*y**2.
-4*(y - 3)*(y + 3)
Let c(b) be the second derivative of b**6/450 + 29*b**5/300 - b**4/4 + 19*b**3/3 - b + 3. Let n(r) be the second derivative of c(r). Solve n(u) = 0.
-15, 1/2
Factor 55/7*k**4 + 752/7 - 1/7*k**5 - 1520/7*k + 1160/7*k**2 - 400/7*k**3.
-(k - 47)*(k - 2)**4/7
Let x be 0*3/9 - -5. Factor -7 + 0*f**x - 11*f - 5 + f**3 + 3*f + 2*f**3 + 13*f**2 + f**5 - 5*f**4.
(f - 3)*(f - 2)**2*(f + 1)**2
Let a be (-9)/171*-19 - (-8)/(64/8). Factor 0*i**a - 4/13*i + 2/13 - 2/13*i**4 + 4/13*i**3.
-2*(i - 1)**3*(i + 1)/13
Let f(n) = -2*n**3 - 20*n**2 - 23*n. Suppose 3*h - 66 = 9*h. Let l(c) = 9*c**3 + 100*c**2 + 114*c. Let a(r) = h*f(r) - 2*l(r). Solve a(d) = 0.
-5/2, 0
Let o(x) = -91*x**2 - 16569*x + 17189316. Let j(z) = 292*z**2 + 49704*z - 51567948. Let q(v) = 5*j(v) + 16*o(v). Factor q(s).
4*(s - 2073)**2
Let x be (57/76)/(9/32)*2*9/12. Factor 22/7*i**x + 2/7 - 13/7*i + 32/7*i**2 - 5/7*i**5 - 38/7*i**3.
-(i - 1)**4*(5*i - 2)/7
Let w(y) be the first derivative of -4*y**3/3 + 1144*y**2 - 327184*y - 962. Factor w(g).
-4*(g - 286)**2
Let u = 1 - -10. Let o(h) = h - 6. Let c be o(u). Factor 5*d**3 + 62*d**2 - 39 + 23 - 17*d**2 - 92 - 5*d**4 - d**c.
-(d - 2)**2*(d + 3)**3
Suppose -f + w + 6 = 0, -9*f = -5*f - w - 24. Factor -29*h**4 - 9*h**3 - f*h**2 + 47*h**4 - 21*h**4.
-3*h**2*(h + 1)*(h + 2)
Let t(v) be the second derivative of -v**4/21 + 680*v**3/21 + 682*v**2/7 - 943*v. Let t(f) = 0. Calculate f.
-1, 341
Suppose 0 = -107*r + 101*r + 12. Factor -5*j**r + 3*j + 5*j**4 + 25*j**3 + 0*j**2 - 28*j.
5*j*(j - 1)*(j + 1)*(j + 5)
Solve -3/4*n**2 + 423/4*n + 435 = 0 for n.
-4, 145
Suppose 0 = -26*z + 34*z - 40. Suppose z*i = -5*w + 35, 0*w + 2*w = -5*i + 23. Determine m, given that 9/2*m**2 - 27/2*m - 27 + 1/2*m**w + 7/2*m**3 = 0.
-3, 2
Let r = -31781951/39 - -814995. Let i = 220/3 - r. Factor i*h**3 - 2/13*h - 2/13*h**2 + 2/13.
2*(h - 1)**2*(h + 1)/13
Let j be (-132)/(-352) - (-2762)/16. Let v = j - 327/2. Factor -2 - v*r**3 - 25/2*r**2 - 7/2*r**4 - 1/2*r**5 - 8*r.
-(r + 1)**3*(r + 2)**2/2
Let f(p) = -4409*p - 13 - 5 + 4407*p. Let s be f(-10). Let 999*l**3 + 0*l**s + 0*l**2 + 5*l**4 - 1009*l**3 = 0. What is l?
0, 2
Let x(v) be the third derivative of -v**7/280 + 51*v**6/160 + 53*v**5/40 + 637*v**2. Suppose x(l) = 0. Calculate l.
-2, 0, 53
Let g(i) be the second derivative of i**6/15 + 11*i**5/10 - 115*i**4/6 + 193*i**3/3 - 90*i**2 - 5*i - 55. Find n, given that g(n) = 0.
-18, 1, 5
Factor 27/2*l**5 - 135*l**4 + 194*l**2 + 9 + 99*l**3 + 151/2*l.
(l - 9)*(l - 2)*(3*l + 1)**3/2
Let g be (1974/(-98) - -21) + (-104)/(-42). Let t(d) be the first derivative of -15/2*d**2 - 30 + g*d**3 - 10*d. Suppose t(h) = 0. Calculate h.
-1/2, 2
Suppose -5*f + 38 = 4*a, 3*f - 18 - 9 = -a. Let p(l) be the first derivative of 0*l + 2/9*l**3 - 1/3*l**2 - f. Factor p(o).
2*o*(o - 1)/3
Let o be (-370)/20*4/2. Let r = -35 - o. Factor 20 - 27*s + 22*s + 5*s**3 - 11*s**r - 9*s**2.
5*(s - 4)*(s - 1)*(s + 1)
Solve -996*r + 308*r**2 - 44*r**2 + 1976 - 260*r**2 = 0 for r.
2, 247
Let m(y) be the second derivative of y**7/70 + 23*y**6/30 + 531*y**5/100 + 89*y**4/60 - 11*y**3 - 75*y + 39. Find u, given that m(u) = 0.
-33, -5, -1, 0, 2/3
Let s(f) = f**3 - 9*f**2 + 24*f - 18. Let n be s(6). Let p = 23 - 13. Factor p*g + 3 - 7*g**2 - 3 - 35*g**3 - n*g**2.
-5*g*(g + 1)*(7*g - 2)
Let f(h) be the first derivative of h**8/504 + h**7/63 - 13*h**6/180 + 7*h**5/90 - 100*h**2 + 17. Let w(l) be the second derivative of f(l). Factor w(m).
2*m**2*(m - 1)**2*(m + 7)/3
Let o(c) be the third derivative of -c**7/70 - 3*c**6/5 - 41*c**5/20 + 33*c**4/4 - 2396*c**2 - c. Solve o(p) = 0 for p.
-22, -3, 0, 1
Suppose 0 = -n + 43 - 7. Suppose -7*g + n - 1 = 0. Factor -3*t**3 + 0*t + 0*t**2 + 0 + 3/2*t**g - 3/2*t**4.
3*t**3*(t - 2)*(t + 1)/2
Let m(d) = -3*d**2 + 5814*d + 1687801. Let r(c) = 35*c**2 - 63955*c - 18565810. Let v(j) = 45*m(j) + 4*r(j). Factor v(x).
5*(x + 581)**2
Let w be (4/(-3))/((-114)/171). Let f be 728/1260 - w/(-9). Find x, given that -6/5*x**2 + f*x + 2/5 = 0.
-1/3, 1
Let x(q) be the first derivative of 2*q**3 + 31*q**2 + 441*q - 257. Let u(j) = -j**2 - 4*j. Let g(v) = 5*u(v) + x(v). Factor g(s).
(s + 21)**2
Let a = -1763/9 + 33515/171. Let z(b) be the second derivative of -15*b + 5/114*b**4 + 0 + 1/19*b**3 - a*b**2. Find p such that z(p) = 0.
-1, 2/5
Let x be 398/60 - 42/(-9072)*36. What is r in x*r**3 + 2/5*r**4 + 0*r + 0 + 0*r**2 = 0?
-17, 0
Factor 1/5*y**2 + 462080 - 608*y.
(y - 1520)**2/5
Let x be 3*(0 + 4/6). Suppose -3*q + 1 = -2*j - x*q, -j = 2*q - 12. Factor -1 + 213*n**3 + 14*n + 3 + 30*n**j - 195*n**3.
2*(n + 1)*(3*n + 1)**2
Suppose 5*g + 16 + 49 = 0. Let o(n) = n**3 + 12*n**2 - 14*n - 10. Let v be o(g). Factor 0*z**4 + z**4 - z**2 + 12*z**3 + 17*z**v - 28*z**3 - z.
z*(z - 1)*(z + 1)**2
Let s = 912477 + -6383883/7. Suppose -792/7*w**3 + 2592/7*w**2 + s*w - 2/7*w**5 + 10*w**4 + 0 = 0. What is w?
-1, 0, 12
Let i(f) be the second derivative of -f**5/140 + 17*f**4/14 - 867*f**3/14 + 1150*f. Suppose i(a) = 0. What is a?
0, 51
Let a = 2/2292545 + 2292537/9170180. Factor v - 3/4*v**2 - v**3 + 1 - a*v**4.
-(v - 1)*(v + 1)*(v + 2)**2/4
Let h(x) be the first derivative of -2/3*x**6 + 6*x**2 + 4*x - 71 - 12/5*x**5 + 8/3*x**3 - 2*x**4. Solve h(n) = 0.
-1, 1
Let c(w) be the second derivative of w**6/80 + 2067*w**5/160 + 2061*w**4/32 + 2059*w**3/16 + 1029*w**2/8 + 2222*w. Find y, given that c(y) = 0.
-686, -1
Let n be (((-7)/(-10))/(2149/614))/1. Solve 21/5*w**2 - n*w**3 + 9*w + 23/5 = 0 for w.
-1, 23
Let u(v) = v**3 + 11*v**2 - 11*v + 16. Let d be u(-12). Let b be (-188)/(-46) - (-3 - -7). Factor -14/23*s**d + 0 + 30/23*s**3 - 26/23*s**2 + 8/23*s + b*s**5.
2*s*(s - 4)*(s - 1)**3/23
Let d be 2 + (-4 + 2 - -2) + -492. Let l be ((-2)/(-30))/(11 + d/45). What is w in l*w - 2/5 - 1/5*w**2 = 0?
1, 2
Let n be (-6 + 7)/((-29)/(-116)). Suppose 5/3*a**3 + 3*a**2 + 1/3*a**n + 2/3 + 7/3*a = 0. Calculate a.
-2, -1
Suppose 61*g = 7*g + 112 - 4. Let d(w) be the second derivative of 1/2*w**g - 1/6*w**4 + 1/30*w**6 + 17*w + 0*w**5 + 0 + 0*w**3. Factor d(r).
(r - 1)**2*(r + 1)**2
Let q(c) be the third derivative of 0*c + 71*c**2 + 1/100*c**5 - 1/120*c**4 + 1/600*c**6 - 1/10*c**3 + 0. Factor q(s).
(s - 1)*(s + 1)*(s + 3)/5
Find u, given that -423/8*u**2 + 0 - 3/8*u**3 - 105/2*u = 0.
-140, -1, 0
Let u(h) be the first derivative of h**5/140 + h**4/14 - 56*h**2 - 60. Let g(f) be the second derivative of u(f). Solve g(b) = 0 for b.
-4, 0
Let v be ((-30)/14)/(-3) - 