 s. Factor -22*v - k*v**3 - 19*v**2 - 4.
-(v + 2)**2*(9*v + 2)/2
Let v(k) be the second derivative of 82/9*k**2 + 55/9*k**3 + 0 + 1/90*k**5 - 41*k + 14/9*k**4. Factor v(q).
2*(q + 1)**2*(q + 82)/9
Let i = 11809 - 11809. Let r(p) be the first derivative of 1/8*p**2 + 1/20*p**5 + 24 + i*p + 3/16*p**4 + 1/4*p**3. Factor r(f).
f*(f + 1)**3/4
Suppose 0 = 3*r - r + 10, -3*r = a - 32. Suppose -a*u = -11*u - 144. Factor 0*x + 15/4*x**u + 0 - 3/4*x**2 + 3/4*x**3 + 9/4*x**5.
3*x**2*(x + 1)**2*(3*x - 1)/4
Suppose -48*t + 23*t + 12 = 2*q - 21*t, 0 = 2*t - 6. Factor 14/3*j**3 - 32/3*j**2 + 8*j - 2/3*j**4 + q.
-2*j*(j - 3)*(j - 2)**2/3
Let p(k) be the second derivative of -1/72*k**4 - 4 - 13*k - 7/36*k**3 - 1/2*k**2. Factor p(n).
-(n + 1)*(n + 6)/6
Let l be 17 - (-1 - (-13 + (-76)/(-12))). Factor l*n**3 + 8/3*n**2 + 8/3*n**4 + 0 + 0*n.
2*n**2*(n + 4)*(4*n + 1)/3
Factor 11/4*b**3 - 131/4*b**2 - 13/4 - 155/4*b.
(b - 13)*(b + 1)*(11*b + 1)/4
Let x(n) be the second derivative of n**5/4 + 805*n**4/12 - 2065*n**3/3 + 1660*n**2 - 802*n. Suppose x(j) = 0. What is j?
-166, 1, 4
Let i(x) be the second derivative of -4 + 2*x + 32/39*x**3 - 16/65*x**5 - 256/13*x**2 + 1/195*x**6 + 85/26*x**4. Find h such that i(h) = 0.
-1, 1, 16
Suppose -j + 2 = -6*g, -357 = -g + j - 359. Let m(r) be the second derivative of -1/3*r**3 + g + 0*r**2 - 1/10*r**5 - 3*r - 1/3*r**4. What is n in m(n) = 0?
-1, 0
Let d(x) = -125*x**2 - 770*x - 700. Let j = -121 + 117. Let m(i) = 9*i**2 + 55*i + 50. Let c(g) = j*d(g) - 55*m(g). Suppose c(b) = 0. Calculate b.
-10, -1
Let h(o) = o**4 - 244*o**3 + 13683*o**2 - 51761*o + 38321. Let x(t) = -t**4 + 242*t**3 - 13682*t**2 + 51760*t - 38319. Let w(c) = 6*h(c) + 7*x(c). Factor w(k).
-(k - 113)**2*(k - 3)*(k - 1)
Let a(p) be the first derivative of -5736025*p**3/3 - 4790*p**2 - 4*p + 1089. Factor a(t).
-(2395*t + 2)**2
Let k(u) be the second derivative of -5*u**6/18 + 33*u**5 + 869*u**4/4 + 2650*u**3/9 + 166*u**2 + 799*u. Determine c, given that k(c) = 0.
-3, -2/5, 83
Let z(x) be the first derivative of x**7/280 + x**6/15 + 21*x**5/40 + 9*x**4/4 + 76*x**3/3 + x**2/2 - 22. Let n(j) be the third derivative of z(j). Factor n(w).
3*(w + 2)*(w + 3)**2
Determine c, given that 5*c**5 - 1873*c**2 + 1776*c - 4*c**5 - 3602612*c**3 - 51*c**4 - 576 + 3603335*c**3 = 0.
1, 24
Let l = -2094 - -25129/12. Let c(r) be the first derivative of l*r**3 - 1/4*r**2 - 1 - 3/4*r. Factor c(k).
(k - 3)*(k + 1)/4
Let j = -2304471/5 + 460897. Factor 12 + j*q**2 - 214/5*q.
2*(q - 15)*(7*q - 2)/5
Let t(u) be the first derivative of u**6/3 + 7*u**5/8 + 11*u**4/16 + u**3/8 - 1132. Let t(i) = 0. What is i?
-1, -3/16, 0
Suppose 16*j = -38*j - 56*j + 125 + 95. What is g in -5000/11 - 2/11*g**j + 200/11*g = 0?
50
Let v = 24370632/17 + -1433566. Suppose 0 - v*b**2 + 8/17*b + 2/17*b**3 = 0. Calculate b.
0, 1, 4
Let z be (4818/13651 - (-260)/34)/3. Let 8/9*q**2 + 0 + z*q + 2/9*q**5 - 26/9*q**3 - 8/9*q**4 = 0. Calculate q.
-2, -1, 0, 1, 6
Let t(x) = 3012*x - 3010. Let p be t(1). Solve 0 + 3/5*y**p - 84/5*y = 0.
0, 28
Let m(c) be the third derivative of c**5/360 - 17*c**4/144 + 13*c**3/9 - 379*c**2. Solve m(g) = 0 for g.
4, 13
Find s, given that -1/3*s**4 + 7*s**2 + 0 + 0*s - 4/3*s**3 = 0.
-7, 0, 3
Let f be (-21)/(-5) + 20/(-100). Suppose 0 = 2*b + 3*g - 11, 0 = -2*b + 5*b - f*g - 8. Factor -2/15*o**b + 2/15*o**2 + 0 + 0*o**3 + 0*o.
-2*o**2*(o - 1)*(o + 1)/15
Let r = 46 - -240. Let x = r + -286. Determine t, given that -2/3*t**2 - 1/3*t - 1/3*t**3 + x = 0.
-1, 0
Let o(a) be the third derivative of -a**7/210 + a**6/60 + 41*a**5/20 + 145*a**4/6 + 350*a**3/3 - 146*a**2 - 16*a - 2. Factor o(w).
-(w - 14)*(w + 2)*(w + 5)**2
Let w(d) be the first derivative of d**8/1680 - d**7/84 + 2*d**6/45 + 17*d**3/3 - d**2/2 - 101. Let l(n) be the third derivative of w(n). What is b in l(b) = 0?
0, 2, 8
Let s(y) be the third derivative of y**6/40 + 53*y**5/10 - 109*y**4/2 + 220*y**3 + 5*y**2 - 5*y - 12. Factor s(c).
3*(c - 2)**2*(c + 110)
Solve 168/5 + 28/5*c**3 + 1/5*c**4 + 362/5*c + 221/5*c**2 = 0.
-14, -12, -1
Let f(k) be the second derivative of k**7/126 - k**6/30 - 27*k**5/20 + 167*k**4/36 + 280*k**3/3 - 294*k**2 - 4*k + 39. Determine m so that f(m) = 0.
-6, 1, 7
Let r(y) be the third derivative of -13*y**7/630 + 203*y**6/360 - 33*y**5/20 + 37*y**4/72 + 35*y**3/9 + 19*y**2 - 6*y. Find x such that r(x) = 0.
-5/13, 1, 14
Let z(g) = 64*g + 4. Let o be z(1). Let s be 2/9 + o/18. Factor s*q**2 + 102*q**4 - 4*q - 106*q**4 + 0*q**3 + 4*q**3.
-4*q*(q - 1)**2*(q + 1)
Suppose 6*s - s + 2*g - 69 = 0, -3*s - g + 42 = 0. Let y be ((-9)/90)/((-2)/s). Suppose -3/8*h**2 + 3/8*h + y = 0. What is h?
-1, 2
Let n = 74437/3 + -24810. Factor -2*d + n - 1/3*d**2.
-(d - 1)*(d + 7)/3
Let i(g) = -47*g**2 + 1814*g - 19880. Let z(f) = -17*f**2 + 604*f - 6630. Let l(h) = -3*i(h) + 8*z(h). Factor l(a).
5*(a - 110)*(a - 12)
Factor 211/10*f + 1/10*f**3 - 28/5*f**2 - 78/5.
(f - 52)*(f - 3)*(f - 1)/10
Let h(x) be the first derivative of 2 - 6*x - 3/20*x**5 + 0*x**2 - 3/16*x**4 + 1/8*x**3. Let t(s) be the first derivative of h(s). Find w such that t(w) = 0.
-1, 0, 1/4
Suppose -4*z = y + 30, -192 = z - 184. Suppose 0 + 2/7*x**3 + 6/7*x**y - 20/7*x = 0. What is x?
-5, 0, 2
Let m be 1362/72 + (-6)/(-30)*5/(-4). Let x(y) be the first derivative of -2*y**5 + 0*y - 8*y**2 - m*y**3 - 11*y**4 + 8. Solve x(p) = 0 for p.
-2, -2/5, 0
Let o(x) be the second derivative of 3*x**5/20 - x**4 - 19*x**3/2 - 21*x**2 - 66*x - 14. Factor o(y).
3*(y - 7)*(y + 1)*(y + 2)
Let q = -3 - -5. Factor -25 - 4*z - q*z**2 - 18*z - 6*z - 2*z - 3*z**2.
-5*(z + 1)*(z + 5)
Let s be (((-32)/12)/2)/(24/(-6)). Let a(t) be the second derivative of 0*t**2 - t - 1/10*t**6 + 0 + 0*t**3 + 11/20*t**5 + s*t**4. Factor a(r).
-r**2*(r - 4)*(3*r + 1)
Factor 8/3 - 11/9*h**2 + 1/9*h**3 - 14/9*h.
(h - 12)*(h - 1)*(h + 2)/9
Let r be (-16)/(-8) - (-3 - -3). Determine t, given that -26*t**2 - 29*t**2 + 60*t**r = 0.
0
Let l(x) = 83*x**3 + 161*x**2 - 484*x - 661. Let w(g) = 15*g**3 + 32*g**2 - 97*g - 132. Let q(j) = -2*l(j) + 11*w(j). Factor q(z).
-(z - 26)*(z - 5)*(z + 1)
Let n(t) be the first derivative of 5*t**4/4 + 2950*t**3 + 3916125*t**2/2 - 1238. Factor n(d).
5*d*(d + 885)**2
Let s be -8 - (-257)/39 - (-6)/(-9). Let c = 161/65 + s. Find t, given that -c*t**2 + 0 - 6/5*t = 0.
-3, 0
Let l = -16785 + 117496/7. Let z(a) = -a**3 - 2*a**2 - 3*a - 2. Let m be z(-2). Factor 4/7*b + l*b**m - 3/7 - 4/7*b**3 + 2/7*b**2.
(b - 3)*(b - 1)**2*(b + 1)/7
Factor -8*o**3 + 234*o**4 - 214*o**4 - o**5 - 12*o**3 - 20*o**3 - 11*o**3.
-o**3*(o - 17)*(o - 3)
Let l(d) be the third derivative of -89/24*d**4 - 7/3*d**3 - 1 + 13/60*d**5 + 24*d**2 + 0*d. Determine w so that l(w) = 0.
-2/13, 7
Let z(n) be the third derivative of -153125*n**7/18 - 4269125*n**6/72 + 8155*n**5/4 - 2099*n**4/72 + 2*n**3/9 + 2*n**2 - n + 329. Suppose z(y) = 0. What is y?
-4, 1/175
Suppose -40*i + 302 - 315 + 177 = i. Factor -1/2*m**4 - 3*m**2 - 25/2 - i*m**3 + 20*m.
-(m - 1)**2*(m + 5)**2/2
Suppose -3300 = v - 11*v. Let -v + 5*f**2 + 29*f + 161*f + 2135 = 0. What is f?
-19
Suppose 104*m + 6308808 - 6309016 = 0. Factor 0 - 3/2*v**3 - 4*v**4 + 1/2*v**5 + 8*v + 11*v**m.
v*(v - 8)*(v - 2)*(v + 1)**2/2
Let l = -26 + 29. Let p = -4 + 7. Find n, given that -12 - p + 20*n**2 - 5*n**4 - 10*n**l - 3*n + 13*n = 0.
-3, -1, 1
Let r be 11/16 - 263/(-4208). Let c(k) be the first derivative of 0*k - 6 + 3*k**2 + r*k**4 + 3*k**3. Factor c(t).
3*t*(t + 1)*(t + 2)
Let f(r) be the first derivative of 5*r**3/18 - 725*r**2/3 + 965*r/2 - 930. Factor f(j).
5*(j - 579)*(j - 1)/6
Let y(z) = -5*z**2 - 417*z. Let w(b) = -6*b**2 - 418*b. Let j(m) = 3*w(m) - 4*y(m). Let j(t) = 0. Calculate t.
-207, 0
Let s = -328 + 347. Let l be s/36 + (-72)/(-324). Factor 1/8*c - 1/2*c**4 + 0 - l*c**2 + 9/8*c**3.
-c*(c - 1)**2*(4*c - 1)/8
Let x = -349 - -356. Let 2*g - x*g**2 - 64 + g**2 + 5*g**2 + 14*g = 0. Calculate g.
8
Let f(c) = -c**3 - 4*c**2 - c - 1. Let y(p) = 5*p**3 - 4668*p**2 + 1359541*p + 2737801. Let q(w) = f(w) + y(w). Let q(z) = 0. What is z?
-2, 585
Suppose 2384*p + 67146*p**5 - 2606*p**2 - 67139*p**5 - 1766*p**2 - 11912*p - 2304 + 2546*p**3 - 299*p**4 = 0. Calculate p.
-1, -2/7, 6, 32
Let a(j) = 4*j**2 - 12*j - 14. Let t be (-12)/(-9) - 1 - 28/3. Let i(n) = -16*n**2 + 50