7*b**2/10 - 1677*b/5 - 3182. Factor s(q).
-3*(q - 43)*(q - 1)*(q + 13)/5
Let j = 44 - 20. Suppose 19*z - j*z + 15 = 0. Factor -13*r**4 + 5*r**z - 7*r**4 - r + 80*r**2 + 0*r**2 - 19*r.
-5*r*(r - 2)*(r + 2)*(4*r - 1)
What is y in 16*y**3 + 16 + 14/3*y**4 - 6*y**2 - 92/3*y = 0?
-3, -2, 4/7, 1
Let t(b) = 4*b**4 - 8*b**3 + 8*b - 10. Let i = -144 - -138. Let a(j) = 8*j**4 - 16*j**3 + 16*j - 21. Let p(u) = i*a(u) + 13*t(u). Let p(g) = 0. What is g?
-1, 1
Let z(x) = 13*x + 52. Let a be z(-4). Let v be ((-14)/(-9))/(a + 6/18). Suppose 2*t**3 - 2/3 + 10/3*t - v*t**2 = 0. What is t?
1/3, 1
Factor -27*k + 210 + 3/5*k**2.
3*(k - 35)*(k - 10)/5
Let p(m) be the first derivative of 4*m + 0*m**2 - m**3 + 42 - 1/4*m**4. Factor p(k).
-(k - 1)*(k + 2)**2
Let r = 2/614701 - -7376398/4302907. Factor m + 1/7*m**2 + r.
(m + 3)*(m + 4)/7
Let f(w) = 4*w - 81. Let c be f(21). Suppose -7*a = -3*l - 6*a + 4, 0 = -c*l - 2*a - 8. Find h, given that 0*h**2 - 1/4*h**3 - 1/4*h**4 + l + 0*h = 0.
-1, 0
Suppose 0 = 4*z + 3*u - 0 + 1, 3*u + 11 = z. Let s be (6 - 5)/(-3*z/(-18)). Factor 13*b**s - 18*b**3 + 4*b**2 - 8*b + 9*b**3.
4*b*(b - 1)*(b + 2)
Let q(u) be the third derivative of -u**8/151200 + u**7/5400 + u**6/675 + 7*u**5/30 + 95*u**2. Let t(s) be the third derivative of q(s). Factor t(f).
-2*(f - 8)*(f + 1)/15
Suppose -4*i + 3*s = -173, 0*s + 3*s + 91 = 2*i. Suppose i - 29 = 6*g. Factor -2/7*k**4 + 0 - 4/7*k**3 + 0*k**g + 0*k.
-2*k**3*(k + 2)/7
Let o be (3360/150)/(-28) - (-9)/10. Let g(m) be the second derivative of -1/4*m**4 + 9/20*m**5 + 0 - 3/2*m**3 + 3*m**2 - o*m**6 + 26*m. Factor g(x).
-3*(x - 2)*(x - 1)**2*(x + 1)
Suppose 212/11*y + 38/11*y**2 + 240/11 - 8/11*y**3 - 2/11*y**4 = 0. What is y?
-4, -3, -2, 5
Let g(i) be the third derivative of 0 - 13/150*i**5 + 1/5*i**3 + 5/24*i**4 - 1/120*i**6 - 94*i**2 + 0*i. Determine d, given that g(d) = 0.
-6, -1/5, 1
Let p = 50 - 26. Let b = 29 - p. Determine w, given that 2*w**3 + 4*w**4 + 14*w - 10 + 2*w**3 - 3*w**2 + 6 - 2*w**b - 13*w**2 = 0.
-2, 1
Let o(f) be the second derivative of -f**6/10 + 3*f**5/10 + 81*f**4/4 - f**3 - 120*f**2 + 2295*f. Suppose o(d) = 0. Calculate d.
-8, -1, 1, 10
Let k(p) = -10*p - 21. Let d be k(-2). Let q be (-1)/(d/(4/12)). Factor -q*w**2 - 2*w**3 + 0 + 0*w - 3*w**4 - 4/3*w**5.
-w**2*(w + 1)**2*(4*w + 1)/3
Let z(f) be the third derivative of -f**8/11760 + f**7/315 - 13*f**6/1260 + 5*f**4/2 - 76*f**2. Let x(o) be the second derivative of z(o). Factor x(s).
-4*s*(s - 13)*(s - 1)/7
Let m(p) be the third derivative of -p**6/90 - 12*p**5/5 + 331*p**4/18 - 148*p**3/3 + p**2 + 8*p + 30. Factor m(c).
-4*(c - 2)*(c - 1)*(c + 111)/3
Let a(y) be the second derivative of 4*y**3/3 - 3*y**2/2 + 12*y. Let o be a(2). Factor -3*d**4 - 6 - 8*d**2 + 12*d**3 - 48*d + 7*d**4 - 13 - o.
4*(d - 2)*(d + 1)*(d + 2)**2
Let t = -82 + 248/3. Let q = 361/699 - -35/233. Suppose q*w - 4/3 + 4/3*w**2 - t*w**3 = 0. What is w?
-1, 1, 2
Let y = 1626197/10 - 325239/2. Factor -33/5*x + 32/5 + y*x**2.
(x - 32)*(x - 1)/5
Determine r so that 417*r + 170*r + 35*r - 3*r**2 + 354*r - 1188 + 215*r = 0.
1, 396
Let i(c) be the first derivative of c**4/48 - 37*c**3/12 + 1369*c**2/8 + 104*c - 99. Let d(x) be the first derivative of i(x). Factor d(j).
(j - 37)**2/4
Let t = -257 - -260. Suppose 3*m + 2*v = 9, -t*m + 6 = -m + v. Factor -1/5*z + 0 + 1/5*z**4 - 1/5*z**2 + 1/5*z**m.
z*(z - 1)*(z + 1)**2/5
Let j(w) = w**3 + 36*w**2 + 2*w + 76. Let t be j(-36). Let p(g) be the first derivative of 15*g**3 - 75/4*g**t + 6 + 3*g + 27/2*g**2. Solve p(f) = 0.
-1/5, 1
Let w(p) be the third derivative of p**6/360 - p**5/15 + 2*p**4/3 - 19*p**3/2 - 30*p**2. Let r(q) be the first derivative of w(q). Factor r(i).
(i - 4)**2
Let x be (-4)/(-32) - (-59)/((-6136)/(-403)). Suppose -68/3*b**x + 32/3 - 32/3*b - 214/3*b**2 - 211/3*b**3 - 7/3*b**5 = 0. Calculate b.
-4, -1, 2/7
Let d(n) be the first derivative of -5*n**3/3 + 45*n**2/2 + 41*n + 15. Let s(t) = t**2 - 11*t - 10. Let i(m) = -2*d(m) - 9*s(m). Solve i(q) = 0.
-8, -1
Let q(x) be the second derivative of -24*x + 25/4*x**3 + 69/2*x**2 + 1 + 1/8*x**4. Factor q(h).
3*(h + 2)*(h + 23)/2
Let v(t) be the first derivative of 11*t**3/3 - 32*t**2/3 - 4*t/3 + 2034. Determine g so that v(g) = 0.
-2/33, 2
Let h(x) = -8*x**3 + 2*x**2 - 16*x + 4. Let n be h(-7). Factor -12 + u**5 + 40*u + 11*u**2 - n*u**3 - 62*u**2 + 2989*u**3 - 9*u**4.
(u - 3)*(u - 2)**2*(u - 1)**2
Let n(q) be the second derivative of -2 - 1/105*q**6 - 16*q + 8/7*q**2 + 1/14*q**4 - 2/3*q**3 + 2/35*q**5. Solve n(x) = 0.
-2, 1, 4
Find h such that 2/13*h**2 - 7908/13*h + 7817058/13 = 0.
1977
Let m(y) be the second derivative of y**6/160 - y**5/16 + 7*y**4/32 - 3*y**3/8 - 177*y**2/2 - 158*y. Let b(v) be the first derivative of m(v). Factor b(d).
3*(d - 3)*(d - 1)**2/4
Let h(s) be the second derivative of -s**5/120 + 137*s**4/72 - 4891*s**3/36 + 4489*s**2/4 + 2221*s. Factor h(y).
-(y - 67)**2*(y - 3)/6
Suppose 0 + 2/3*t**3 + 0*t + 82*t**2 = 0. Calculate t.
-123, 0
Suppose 3*t + 4*t - 686 = 0. Factor -36*z**2 - 4 - 4 - t*z**3 + 28*z - 4*z**4 + 118*z**3.
-4*(z - 2)*(z - 1)**3
Let u(s) be the second derivative of 1/50*s**6 - s + 1/10*s**3 + 3 - 3/20*s**4 + 3/5*s**2 - 3/100*s**5. Suppose u(o) = 0. What is o?
-1, 1, 2
Let y(r) be the third derivative of -8*r**7/105 - 352*r**6/15 + 713*r**5/5 - 537*r**4/2 + 2*r**2 - 6006*r. Let y(m) = 0. Calculate m.
-179, 0, 3/2
Factor 38/21*b**2 + 2/21*b**3 - 6 - 30/7*b.
2*(b - 3)*(b + 1)*(b + 21)/21
Let y(k) be the third derivative of 0*k - 2/105*k**7 - 1/336*k**8 + 0*k**3 - 2 + 2*k**2 + 1/6*k**4 + 1/15*k**5 - 1/40*k**6. Factor y(o).
-o*(o - 1)*(o + 1)*(o + 2)**2
Suppose 4/7*u**3 - 2/7 - 2/7*u**5 - 2/7*u**4 + 4/7*u**2 - 2/7*u = 0. Calculate u.
-1, 1
Let c(y) be the second derivative of -237*y - 83/6*y**3 + 91/12*y**4 + 46/5*y**5 + 6*y**2 + 8/5*y**6 + 0. Factor c(m).
(m + 3)*(3*m + 4)*(4*m - 1)**2
Let t(k) be the first derivative of 2*k**3/33 - 13*k**2/11 + 80*k/11 + 1022. Factor t(r).
2*(r - 8)*(r - 5)/11
Let o = -351896/2263 - 1/4526. Let d = 469/3 + o. Factor 2/3*b**2 + 1/6*b**3 + d*b + 1/3.
(b + 1)**2*(b + 2)/6
Let s(l) be the third derivative of -141*l**8/56 - 323*l**7/35 - l**6/12 + 85*l**5/6 - 28*l**4/3 + 4*l**3/3 - 829*l**2. Let s(b) = 0. What is b?
-2, -1, 2/47, 1/3
Let d(n) = n + 1. Let a(k) = k**3 + 2*k + 27. Let l(u) = a(u) - 4*d(u). Let g be l(0). Factor i**3 + g*i**4 + 9*i + 10 - 55*i**2 - 44*i + 34*i**3 + 22*i**4.
5*(i - 1)*(i + 1)**2*(9*i - 2)
Let i be 6/24 - ((-2492)/336)/89. Determine c so that i*c**3 + 37/3*c**2 + 108 + 120*c = 0.
-18, -1
Suppose 141*v + 85*v - 30*v = 0. Let w(y) be the third derivative of 0*y - 6*y**2 - 1/8*y**4 + 0 + v*y**3 - 1/40*y**6 + 1/10*y**5. Factor w(k).
-3*k*(k - 1)**2
Find i, given that -18*i + 8/9*i**2 + 1/9*i**4 - 17 + 2*i**3 = 0.
-17, -3, -1, 3
Let v be 0/3 + (42/(-4353))/(-7). Let d = 1457/4353 - v. Let d*m + 0 - 2/3*m**2 + 1/3*m**3 = 0. What is m?
0, 1
Let u(b) = 137*b**2 - b. Let s(d) = -412*d**2 + 2803*d - 1960000. Let g(o) = -2*s(o) - 6*u(o). Let g(v) = 0. Calculate v.
1400
Factor 1872/5 - 632/5*l**2 - 1236/5*l - 4/5*l**3.
-4*(l - 1)*(l + 3)*(l + 156)/5
Factor 1/6*x**2 - 71/3*x + 5041/6.
(x - 71)**2/6
Let k(w) = w**2 + w - 6. Let f be k(-3). Suppose f*y - 4*y + 0*y = 0. Determine d, given that 218 - d**2 - 217 + y*d**2 = 0.
-1, 1
Let q(v) be the first derivative of -v**6/2 - 58*v**5/15 - 26*v**4/3 + 16*v**3/3 + 7*v**2/2 - 45. Let j(k) be the second derivative of q(k). Factor j(z).
-4*(z + 2)**2*(15*z - 2)
Factor 12/7 + 3/7*i**2 + 15/7*i.
3*(i + 1)*(i + 4)/7
Factor 0*b + 0 + 179/2*b**2 - 1/2*b**3.
-b**2*(b - 179)/2
Suppose -5*v = 16 - 36. Suppose 3 = -s, v*s + 18 = r + 2*r. Solve 34*j**2 - r*j**4 + 0*j**4 + 4*j - 28*j**2 = 0 for j.
-1, 0, 2
Let c be (-352)/(-192) + (-1290)/900. Factor -16/5 + c*h**3 - 4*h - 2/5*h**2.
2*(h - 4)*(h + 1)*(h + 2)/5
Let z(x) be the second derivative of -x**6/720 + x**5/48 + 3*x**3 - 7*x. Let w(s) be the second derivative of z(s). Factor w(c).
-c*(c - 5)/2
Let w = -101 + 104. Factor 9*d**4 + d**5 + 9*d**3 - 6*d**5 + 5*d**5 + w*d**2 + 3*d**5.
3*d**2*(d + 1)**3
Suppose -18*a + 294 = 24*a. Factor -26*q**2 + 7*q**2 - 17*q**2 + 13*q**3 + a*q**3.
4*q**2*(5*q - 9)
Let v(c) be the third derivative of -c**6/60 - 11*c**5/30 - 5*c**4/3 + 32*c**3/3 - 92*c**2 + 7. 