3 + 51*q + 2. Factor f(i).
-2*i*(i + 2)*(7*i + 4)
Let o(v) = 3*v**2 + 2*v + 1. Let m(a) = -42*a**3 + 105*a**2 + 209*a - 98. Let s(y) = -m(y) + 10*o(y). Factor s(z).
3*(z - 3)*(2*z - 1)*(7*z + 12)
Let k be (-7)/(7/20) - (440 - 462). Factor -46/5*h**k - 10 + 2/5*h**3 - 98/5*h.
2*(h - 25)*(h + 1)**2/5
Determine k, given that -7082*k - 2945*k**2 - 2939*k**2 - 2917*k**2 + 12538681 + 8802*k**2 = 0.
3541
Let p(d) = -d**4 + d**3 + d + 1. Let s = 7 - 8. Let r(l) = -10*l**4 - 120*l**3 + 130*l**2 + 5*l + 5. Let z(v) = s*r(v) + 5*p(v). Factor z(o).
5*o**2*(o - 1)*(o + 26)
Let c(s) be the first derivative of -4*s**3/9 - 42*s**2 + 2272*s/3 + 13339. Suppose c(x) = 0. Calculate x.
-71, 8
Let i(n) be the third derivative of -n**6/72 - 55*n**5/3 - 30250*n**4/3 - 26620000*n**3/9 + 1127*n**2. Factor i(d).
-5*(d + 220)**3/3
Let n = -494783 - -3958381/8. Solve -81/2*j + 89/2*j**2 - n*j**3 + 5/8*j**4 + 10 = 0 for j.
2/5, 1, 2, 20
Let m(s) = -2*s - 1. Let z(o) = -o - 7. Let u be z(-4). Let q be m(u). What is b in -15 + 10 - 2*b - b**2 + q = 0?
-2, 0
Factor 3/8*q**3 - 75/8*q**2 + 57/4*q + 231.
3*(q - 22)*(q - 7)*(q + 4)/8
Let m = -2630 + 31561/12. Let g(l) be the first derivative of 0*l**2 - 15 + 0*l - 1/8*l**4 - 1/20*l**5 - m*l**3. Suppose g(h) = 0. What is h?
-1, 0
Let p(g) be the first derivative of -g**3/3 + 265*g**2/2 + 209. Determine j, given that p(j) = 0.
0, 265
Suppose 22 = 5*q - 3*v, 5*v - v = -q - 14. Factor 67 + o**q - 15*o - 4*o - 3 + 3*o.
(o - 8)**2
Suppose 0*r + 2*l + 6 = -4*r, -3*r - 17 = 4*l. Let d be (5/(-3) - (-27 + 25))/r. Factor 1/3*b**2 + 2/3*b + 0 - d*b**3.
-b*(b - 2)*(b + 1)/3
Determine g so that -1/6*g**2 + 58 + 86/3*g = 0.
-2, 174
Factor -2/7*f**3 + 64*f**2 + 1320/7 - 1766/7*f.
-2*(f - 220)*(f - 3)*(f - 1)/7
Let 48*q - 2/3*q**5 - 52*q**2 + 0 - 2/3*q**3 + 16/3*q**4 = 0. Calculate q.
-3, 0, 1, 4, 6
Suppose 3*q - 5*t = 4*q - 13, t = 4*q - 10. Factor 0*s**5 + q + 0*s**4 + 40*s**3 + 17 - 36*s - 3*s**5 - 8*s**2 - 12*s**4 - s**5.
-4*(s - 1)**3*(s + 1)*(s + 5)
Let a(l) = 388*l - 2319. Let m be a(6). Let g(r) be the third derivative of 0*r**3 - 1/45*r**5 + m*r**2 + 0*r + 1/3*r**4 + 0. Factor g(n).
-4*n*(n - 6)/3
Let a(b) be the third derivative of -b**8/336 + b**7/105 + 5*b**6/8 + 5*b**5/3 - 125*b**4/6 + 15655*b**2. Factor a(j).
-j*(j - 10)*(j - 2)*(j + 5)**2
Let f(k) be the second derivative of -k**4/30 - 17*k**3/15 + 18*k**2/5 - 925*k + 2. Find z such that f(z) = 0.
-18, 1
Let i(w) be the third derivative of 1/12*w**5 + 0 - 5/4*w**4 + 0*w - 35/6*w**3 + 9*w**2. Factor i(z).
5*(z - 7)*(z + 1)
Suppose 0 = -9*u + 242 + 100. Let q be (-10)/u*(-2128)/190. Let q*y - 30/19*y**3 - 16/19 - 28/19*y**2 = 0. Calculate y.
-2, 2/5, 2/3
Factor -194*y - 275*y + 86 + 776*y**2 - 88 + 85*y.
2*(2*y - 1)*(194*y + 1)
Let y(v) be the first derivative of v**6/30 + v**5 - v**4/6 - 10*v**3 - 283*v**2/2 + 197. Let w(i) be the second derivative of y(i). Factor w(f).
4*(f - 1)*(f + 1)*(f + 15)
Let n(c) = 840*c - 12600. Let j be n(15). Factor -75/2*r**4 + 27/2*r**5 - 9/2*r**2 - 3*r + 63/2*r**3 + j.
3*r*(r - 1)**3*(9*r + 2)/2
Let i(u) = -11*u**2 + 2309*u - 2307. Let k(r) = 9*r**2 - 2311*r + 2308. Let n(x) = -2*i(x) - 3*k(x). Factor n(o).
-5*(o - 462)*(o - 1)
Let h be -2 + (-4)/(-2) + (14 - 13). Let y be (-6 + 8)*(h + 1). Solve 9*c**4 - 13 - 7*c + 21*c**2 - 30*c**3 + 19*c - 3 + y = 0.
-2/3, 1, 2
Let j be (115/(-644))/((-595)/5712). Factor -20/7*k**3 - j*k - 4/7*k**4 - 4*k**2 + 0.
-4*k*(k + 1)**2*(k + 3)/7
Let v(b) be the third derivative of 7/180*b**6 + 0*b**3 + 0 + 0*b + 25/27*b**4 - 1/945*b**7 - 47*b**2 - 4/9*b**5. Factor v(q).
-2*q*(q - 10)**2*(q - 1)/9
Let m(p) be the second derivative of 15*p**7/14 + 5*p**6 - 101*p**5 - 710*p**4/3 - 160*p**3 - 5210*p. Let m(t) = 0. Calculate t.
-8, -2/3, 0, 6
Let q be 16/6*6/8. Let n(z) = 11*z + 1 + 0 + 5 - 3 - 2*z**q. Let x(j) = 3*j**2 - 12*j - 3. Let s(k) = 6*n(k) + 5*x(k). Let s(b) = 0. Calculate b.
-1
Let o be 19/(-95) - (-14433)/15. Factor -2*t**5 + 170*t**2 + 46*t**4 - 297*t**2 - o*t - 106*t**3 - 733*t**2 - 82*t**3 - 338.
-2*(t - 13)**2*(t + 1)**3
Let x(d) be the third derivative of d**8/588 + 2*d**7/735 - 31*d**6/210 - d**5/105 + 5*d**4/7 - d**2 + 3016. Let x(i) = 0. What is i?
-6, -1, 0, 1, 5
Find c such that -4*c - 5/3*c**5 + c**3 - 32/3*c**2 + 6*c**4 + 0 = 0.
-1, -2/5, 0, 2, 3
Let r(h) be the second derivative of -h**4/54 + 46*h**3/27 - 529*h**2/9 + 4033*h. Solve r(n) = 0 for n.
23
Let d = -5189 + 93407/18. Let t(g) be the third derivative of 0*g - 12*g**2 - d*g**4 - 1/90*g**6 + 0 - 4/9*g**3 - 4/45*g**5. Factor t(w).
-4*(w + 1)**2*(w + 2)/3
Let o(p) be the first derivative of p**6/30 + 3*p**5/5 + 7*p**4/3 - 9*p**2/2 - 7*p + 174. Let a(q) be the second derivative of o(q). Factor a(i).
4*i*(i + 2)*(i + 7)
Let k(o) be the first derivative of -o**3/2 - 29*o**2/12 + 40*o/3 + 4565. Factor k(l).
-(l + 5)*(9*l - 16)/6
Let p(y) be the second derivative of 13*y**5/25 - 127*y**4/30 + 89*y**3/15 + 12*y**2/5 - 5793*y. Determine r so that p(r) = 0.
-3/26, 1, 4
Let k(x) be the second derivative of -3*x**5/40 + 5649*x**4/8 - 10637067*x**3/4 + 20029597161*x**2/4 - 7154*x. Factor k(y).
-3*(y - 1883)**3/2
Let c(q) = q**2 - 2. Let o(z) = z**2 + 3*z - 12. Let f(h) = -4*c(h) + o(h). Let g(t) = -5*t**2 + 5*t - 7. Let x(k) = -7*f(k) + 4*g(k). Factor x(j).
j*(j - 1)
Let k = 116 - 113. Factor -2 - 899*d**2 + 5 + 4*d**k - 4*d + 891*d**2 + 5.
4*(d - 2)*(d - 1)*(d + 1)
Let a(s) be the third derivative of s**6/80 - 63*s**5/40 + 1323*s**4/16 - 9261*s**3/4 + 247*s**2 - 1. Determine g so that a(g) = 0.
21
Let s(i) be the third derivative of i**6/280 + 183*i**5/140 - 69*i**2 - i - 4. Factor s(c).
3*c**2*(c + 183)/7
Let q(w) be the second derivative of -5*w**9/6048 + w**8/336 + w**7/112 - 17*w**3/3 - 34*w. Let p(c) be the second derivative of q(c). Solve p(n) = 0.
-1, 0, 3
Solve -t**2 - 66*t**3 - 1/2*t**5 + 133/2*t - 33 + 34*t**4 = 0 for t.
-1, 1, 66
Let z(f) be the second derivative of -11/6*f**4 - 3/5*f**5 - 1/15*f**6 + 0*f**2 - 12*f - 2*f**3 + 0. Factor z(w).
-2*w*(w + 1)*(w + 2)*(w + 3)
Let j be -969 + 943 - 375/24*-2. Factor 27/4*c**2 + 3/2*c + 0 + j*c**3.
3*c*(c + 1)*(7*c + 2)/4
Let q be ((-42)/126)/(1/(-327*3)). Let n = 329 - q. Factor 1/2*m - 3/4*m**n + 1/4*m**3 + 0.
m*(m - 2)*(m - 1)/4
Suppose -20*b + 17*b + 16 = -2*w, -2*b + 5*w = -18. Factor -2/5*p**b + 4/5*p + 0 + 6/5*p**2 + 0*p**3.
-2*p*(p - 2)*(p + 1)**2/5
What is x in 5838/11*x**3 + 5184/11*x + 54/11*x**5 - 768/11 - 10476/11*x**2 - 1008/11*x**4 = 0?
1/3, 2, 8
Let r be 120/36 + 2*3/(-18). Let v(n) be the first derivative of n - 1/10*n**5 - 8 - 1/6*n**r - 3/4*n**2 + 3/8*n**4. Factor v(g).
-(g - 2)*(g - 1)**2*(g + 1)/2
Let o be 6273/(-615) - (-1 + -11). Let n(r) be the first derivative of -3/5*r**2 - 1/5*r**3 - 15 + o*r. Factor n(d).
-3*(d - 1)*(d + 3)/5
Let z(b) be the first derivative of b**6/270 - 8*b**5/45 - 17*b**4/18 + 164*b**3/3 - 38. Let g(y) be the third derivative of z(y). Factor g(r).
4*(r - 17)*(r + 1)/3
Let g(z) be the third derivative of -1/30*z**6 + 0*z - 83*z**2 + 0 + 2/105*z**7 + 0*z**4 - 4/5*z**5 + 0*z**3. Factor g(m).
4*m**2*(m - 4)*(m + 3)
Let a = 99 + 113. Let v = 212 - a. Solve 0*n**3 + v*n + 0 + 0*n**2 - 3/5*n**4 = 0.
0
Factor 2*g**2 + 2/3*g**5 + 0*g + 0 - 10/3*g**3 + 2/3*g**4.
2*g**2*(g - 1)**2*(g + 3)/3
Determine v so that 242/13*v**3 + 7200/13*v + 0 - 2/13*v**4 - 7440/13*v**2 = 0.
0, 1, 60
Let v be ((4/13)/1)/((-178)/(-1157)). Find s such that 14*s + s**3 - 27*s + 4*s**2 - s**v + 13*s = 0.
-3, 0
Find h, given that -144 + 22*h - 1/2*h**2 = 0.
8, 36
Suppose -2*d = d - 5*u - 319, 0 = 4*d - 5*u - 427. Let j = 108 - d. Solve 2/11*s + j + 2/11*s**2 = 0.
-1, 0
Let i be ((-4)/(-26))/((-20)/(-260)). Suppose 0 = -y + n + 13, -4*y - 4*n + 10 = -i. Determine g, given that -1/2*g**2 - 4*g - y = 0.
-4
Factor -135*c**2 - 3 + 0*c**3 + 6*c**3 - 2*c**4 + 131*c**2 + 3.
-2*c**2*(c - 2)*(c - 1)
What is y in -179*y**3 + 4*y + 175*y**3 + 2417 - 729 - 1688*y**2 = 0?
-422, -1, 1
Let f(c) be the first derivative of c**4/30 + 178*c**3/15 + 7921*c**2/5 - 194*c - 291. Let h(t) be the first derivative of f(t). Solve h(i) = 0 for i.
-89
Let w(g) be the third derivative of 0*g**5 + 0*g**4 + 0*g**3 + 4/945*g**7 + 0 - 22*g**2 - 1/180*g**6 - 1/1512*g**8 - 2*g. Factor w(z).
-2*z**3*(z - 3)*(z - 1)/9
Let -549129