*4 + 0*o**3 + 0 + 0*o. Factor h(b).
-2*b*(b + 3)/11
Let z(f) be the third derivative of 0*f**4 - 11*f - 1/6*f**5 - f**2 - 1/42*f**7 + 0 + 0*f**3 + 1/8*f**6. Factor z(w).
-5*w**2*(w - 2)*(w - 1)
Let m(d) be the second derivative of 2/105*d**6 - 6 - 5*d + 0*d**4 - 2/35*d**5 + 0*d**2 + 0*d**3. Let m(n) = 0. What is n?
0, 2
Suppose -r + 591 = -5*p + 584, 0 = 3*r + 5*p - 1. Suppose 2/3*x**r + 52/3*x - 18 = 0. What is x?
-27, 1
Let s(x) = x**3 + 4*x**2 + 25. Let g be s(-5). Suppose 0 = 2*z + 2*i - 6, 4 = -2*i - g. Factor -z*k**2 + 0 - 5/2*k**3 + 0*k.
-5*k**2*(k + 2)/2
Let w(r) be the second derivative of -178*r - 25/3*r**3 + 0 + 9/10*r**5 - 1/15*r**6 + 0*r**2 - 5/2*r**4. Factor w(f).
-2*f*(f - 5)**2*(f + 1)
Let g = -15144 - -15148. Let s(h) be the second derivative of -5*h**3 + 0 - 14*h + 33/2*h**2 - 1/4*h**g. Let s(a) = 0. What is a?
-11, 1
Suppose 0 = -3*n - 10 + 31. Let v be (-8)/12 - (-20)/3. Factor -4*q + 7*q**3 + n*q - q + v*q**2 - 3*q**3.
2*q*(q + 1)*(2*q + 1)
Let m(a) = -a**3 + 6*a**2 + 2*a - 9. Let n be m(6). Determine j so that -j**2 - 11914 + 11913 + n*j**2 - j**4 = 0.
-1, 1
Let k = -105004 + 105007. Determine t, given that -2/9*t + 2/9*t**k - 22/9 + 22/9*t**2 = 0.
-11, -1, 1
Let r(u) be the third derivative of -u**7/210 + 31*u**6/120 + 17*u**5/10 - 2579*u**2. Factor r(h).
-h**2*(h - 34)*(h + 3)
Let j = -4/2493 + 887/34902. Let s(w) be the second derivative of 0 - 1/140*w**5 + 18*w - 1/42*w**3 + 0*w**2 + j*w**4. Let s(z) = 0. Calculate z.
0, 1
Let g(o) be the second derivative of -3 + 5*o + 39/40*o**5 + o**3 - 3/2*o**4 + 1/28*o**7 + 0*o**2 - 3/10*o**6. Factor g(v).
3*v*(v - 2)**2*(v - 1)**2/2
Factor -a**4 + 48*a - 1857*a**2 + 5*a**3 + 3*a**4 + 3716*a**2 - 1911*a**2 - 3*a**3.
2*a*(a - 4)*(a - 1)*(a + 6)
Let m be (-3)/(1*(-2)/6). Let c(w) = 2*w - 13. Let f be c(m). Factor f*t**3 + 2*t - 5*t + 3*t - 5*t.
5*t*(t - 1)*(t + 1)
Let l = -20/7563 + 45638/98319. Determine u so that -10/13*u**3 - 14/13*u**2 + 0 - l*u - 2/13*u**4 = 0.
-3, -1, 0
Let z(u) be the second derivative of 17/14*u**3 + 0 - 27/7*u**2 + 19*u + 1/28*u**4. Factor z(a).
3*(a - 1)*(a + 18)/7
Let m(l) be the first derivative of l**5/100 + l**4/20 - l**3/3 - 130*l + 76. Let x(o) be the first derivative of m(o). Solve x(u) = 0 for u.
-5, 0, 2
Let r(m) be the second derivative of -47*m + 1/16*m**4 + 3*m**2 + 0 + 3/4*m**3. Factor r(x).
3*(x + 2)*(x + 4)/4
Let t(m) be the first derivative of -2*m**5/25 + 14*m**4/5 - 202*m**3/15 + 122*m**2/5 - 96*m/5 - 5769. Find v such that t(v) = 0.
1, 2, 24
Let u(k) be the third derivative of -k**8/112 + 43*k**7/35 - 1849*k**6/40 + 551*k**2. Factor u(j).
-3*j**3*(j - 43)**2
Suppose -4*c + 4528 = 12*c. Factor -9*i + 18*i**4 - c*i**2 - 66*i**3 + 18*i**4 - 138*i - 3*i**5 + 31*i**2.
-3*i*(i - 7)**2*(i + 1)**2
Let g(j) be the second derivative of j**7/3360 + j**6/1440 - j**5/240 + 3*j**3 + 85*j. Let w(y) be the second derivative of g(y). Let w(r) = 0. What is r?
-2, 0, 1
Let b(i) = i**2. Let n(m) = 174*m**2 - 6*m - 87*m**2 - 78*m**2 + 0 + 0. Let g be -2 + 1 - (2 - 2). Let w(u) = g*n(u) + 6*b(u). Factor w(s).
-3*s*(s - 2)
Suppose 197 = -7*f + 11*f - 5*i, -3*i + 189 = 4*f. Let -n**2 + 5*n**2 - 2*n**2 - 3*n**2 + 49*n - f = 0. What is n?
1, 48
Let l(f) be the third derivative of 0 + 1/24*f**4 - 2*f**3 + 1/60*f**5 + 0*f + 181*f**2. Factor l(s).
(s - 3)*(s + 4)
Factor -296*o - 10952/5*o**2 - 10.
-2*(74*o + 5)**2/5
Suppose -195*n + 721 = -254. Factor -377/3*u**2 - 1/6*u**n - 6*u**4 + 1859/2*u - 2197/3 - 196/3*u**3.
-(u - 2)*(u - 1)*(u + 13)**3/6
Let f(j) be the first derivative of -2*j**3/51 - 44*j**2/17 - 968*j/17 - 216. Factor f(c).
-2*(c + 22)**2/17
Let r be 608/(-570)*-33*(-1)/(-4). Let x(o) be the first derivative of -8/3*o**6 + r*o**5 + 8*o - 52/3*o**3 - o**4 + 10*o**2 + 10. Suppose x(v) = 0. What is v?
-1, -1/4, 1, 2
Solve 47286*t + 873*t**2 + 14895*t - 94794 - 8701 - 107259 + 3*t**3 + 16273 = 0.
-147, 3
Let 0 - 186/5*q - 2/5*q**3 - 188/5*q**2 = 0. Calculate q.
-93, -1, 0
Let t(g) be the first derivative of 8*g**5/5 - 37*g**4 + 144*g**3 - 90*g**2 - 5632. Factor t(v).
4*v*(v - 15)*(v - 3)*(2*v - 1)
Let a(t) be the third derivative of -t**7/210 + 17*t**6/120 - 67*t**5/60 + 29*t**4/8 - 6*t**3 - 12632*t**2. Find h such that a(h) = 0.
1, 3, 12
Suppose 0 = 6*n - 31 + 19. Factor 1077*z**n + 78*z - 972*z**2 + 13*z + 10 + 24*z.
5*(z + 1)*(21*z + 2)
Let w(y) be the second derivative of -y**6/15 + 29*y**5/10 + 65*y**4/6 - 31*y**3 + 6302*y. Factor w(f).
-2*f*(f - 31)*(f - 1)*(f + 3)
Suppose 8*o = 7*o + 3. Suppose 42*p**2 - 30 + 38*p - 2*p**3 - 24 - 6*p**o + 42 = 0. What is p?
-1, 1/4, 6
Let g = -8 + 17/2. Suppose 4*i - 75 = 112 - 179. What is v in -1/6*v**i + g*v - 1/3 = 0?
1, 2
Let s(v) be the second derivative of -2*v - 1/285*v**6 + 3/95*v**5 + 0*v**2 + 0*v**3 - 3/38*v**4 - 33. Determine l, given that s(l) = 0.
0, 3
Let v(z) = -5*z**3 - z + 1. Let u be v(1). Let f(x) = -x**2 + x + 1. Let m(g) = 7*g**2 + 4*g - 10. Let r = 2 + -3. Let c(b) = r*m(b) + u*f(b). Factor c(a).
-(a + 5)*(2*a - 1)
Let l(d) be the third derivative of d**10/453600 + d**9/30240 + d**8/12096 - d**5/15 - 19*d**2. Let s(y) be the third derivative of l(y). What is j in s(j) = 0?
-5, -1, 0
Let a(x) be the first derivative of -x**4/16 - 107*x**3/4 - 25599*x**2/8 + 25921*x/4 + 1284. Determine m, given that a(m) = 0.
-161, 1
Let p(g) = 5*g**3 + 23*g**2 + 116*g + 278. Let y be p(-3). Factor 1/5*j**5 + 1/5*j**4 - 4/5*j**y - 4/5*j**3 + 0 + 0*j.
j**2*(j - 2)*(j + 1)*(j + 2)/5
Let z(t) be the first derivative of 243*t**6/2 + 567*t**5 - 12978*t**4 + 18232*t**3 - 8376*t**2 + 1584*t + 1384. Determine s so that z(s) = 0.
-11, 2/9, 2/3, 6
Let z(a) = 5*a + 17. Let u(l) = 19*l + 67. Let x(t) = -4*u(t) + 18*z(t). Let v(o) = -o**2 - 13*o - 37. Let f(s) = 4*v(s) + 6*x(s). Suppose f(h) = 0. What is h?
-2, 10
Let u(o) be the third derivative of -o**5/20 + 13*o**4/4 - 72*o**3 - 3*o**2 - 12. Factor u(s).
-3*(s - 18)*(s - 8)
What is c in -3/5*c**2 + 1278/5*c - 2544/5 = 0?
2, 424
Suppose 6*o = -13 + 25. Suppose -o*g + 4 = -2*z, -4*z + 17 = 3*g - 3. Let -6*b + 3*b**2 + 51*b + g*b + 11*b + 300 = 0. What is b?
-10
Let i be ((-124)/(-48) - 2/8)*6. Let c be i/(630/81)*1. Determine y so that 3/5*y**3 - c*y - 6/5 + 0*y**2 = 0.
-1, 2
Factor 16*v**2 + 9490 + 10*v**4 - v**5 - 59*v**3 + 115*v**3 - 208*v - 9714.
-(v - 14)*(v - 2)*(v + 2)**3
Let v(x) be the second derivative of -8 + 2*x**2 + 1/75*x**6 - 8*x + 9/50*x**5 - 11/30*x**4 - 3/5*x**3. Find f, given that v(f) = 0.
-10, -1, 1
Let i = 143665 + -1292971/9. Factor i*q**2 - 32/9*q + 8/9.
2*(q - 2)*(7*q - 2)/9
Let o(f) be the third derivative of -3/100*f**5 + f**2 - 2/15*f**3 + 0 + 1/6*f**4 + 12*f. Factor o(w).
-(w - 2)*(9*w - 2)/5
Factor 7/8*q**2 + 51/2*q + 29/8.
(q + 29)*(7*q + 1)/8
Find p such that -1089/4*p + 543/2*p**2 + 3/4*p**3 + 0 = 0.
-363, 0, 1
Factor -s**4 + 1/4*s**5 + 15*s - 13/4*s**3 + 0 + 7*s**2.
s*(s - 5)*(s - 3)*(s + 2)**2/4
Let a = 585 + -122261/209. Let u = a - -619/418. Solve -10*x**4 + 1/2 - 11*x**3 - u*x**2 + 7/4*x = 0 for x.
-1/2, 2/5
Let m = -356 - -359. Let -14*r**2 + 6*r**2 - m*r**4 - 12*r**2 + 7*r**4 + 4*r**3 + 12*r**3 = 0. What is r?
-5, 0, 1
Let r(x) be the first derivative of 1/18*x**3 + 5/12*x**2 + 0*x + 176. Factor r(i).
i*(i + 5)/6
Suppose 9*i = 5*i - 2*n, 2*n = -2*i. Suppose 4*a - 2*a - 8 = i. Factor -5 + 5 - 5*o**4 + 2*o**a + 2*o - 4*o**3 + o**2.
-o*(o + 1)**2*(3*o - 2)
Suppose 512/13 - 38/13*r**3 - 2/13*r**4 - 256/13*r - 216/13*r**2 = 0. Calculate r.
-8, -4, 1
Let n = 267/26 - 749/78. Let x(h) be the third derivative of 0 + n*h**3 + 7/30*h**5 + 0*h - 12*h**2 + 3/4*h**4. Factor x(z).
2*(z + 1)*(7*z + 2)
Let p(w) be the third derivative of w**6/300 + 79*w**5/150 + 371*w**4/12 + 735*w**3 - 1139*w**2. Find b, given that p(b) = 0.
-35, -9
Suppose 0 = 5*z + 3*j - 8*j - 2845, 3*j = 5*z - 2847. Let d be z/(-75) + 16/2. Factor 1/5*x**3 + d*x**2 + 0 + 1/5*x.
x*(x + 1)**2/5
Let u = -641583 + 641592. Let 12 + u*h**2 - 18*h - 3/2*h**3 = 0. Calculate h.
2
Factor 125/2 - 1/4*w**4 + 175/4*w - 7/4*w**3 + 15/4*w**2.
-(w - 5)*(w + 2)*(w + 5)**2/4
Let a(v) be the second derivative of v**5/35 - 64*v**4/7 + 8192*v**3/7 - 524288*v**2/7 + 2214*v. Factor a(q).
4*(q - 64)**3/7
Let t(j) be the first derivative of 0*j**2 - 1/12*j**4 + 4 + 24*j + 7/6*j**3. Let w(h) be the fi