 = 0. What is a?
0, 2
Factor 44*y + 9*y - 5*y**2 - 75 + 27*y.
-5*(y - 15)*(y - 1)
Let f(u) be the second derivative of -3/7*u**4 + 0 - 12*u - 3/35*u**6 + 0*u**2 - 2/7*u**3 - 1/98*u**7 - 39/140*u**5. Suppose f(c) = 0. Calculate c.
-2, -1, 0
What is b in -10*b**2 - 18*b - 26/3 - 2/3*b**3 = 0?
-13, -1
Let s = -40078 - -40080. Factor 2/7*g**s - 18/7*g + 16/7.
2*(g - 8)*(g - 1)/7
Suppose 134*q = 48469 + 26128 + 41179. What is t in 2/3*t**4 + q + 16*t**3 + 576*t + 144*t**2 = 0?
-6
Let y(q) = q**2 + 9*q - 8. Let b be y(-10). Determine c, given that 2*c - c - 4*c + c**b + 6*c = 0.
-3, 0
Let f = -3015/2 - -1508. Let 3/2*r - f + 2*r**2 = 0. Calculate r.
-1, 1/4
Let x(z) be the second derivative of -z**4/3 - 148*z**3/3 - 146*z**2 + 7*z + 15. Factor x(g).
-4*(g + 1)*(g + 73)
Let 12*r + 10*r**2 - 11*r**2 - 63 + 83 + 88 = 0. What is r?
-6, 18
Suppose 14*x - 867 = -867. Suppose 10/7*o**2 + 2/7*o**3 + 8/7*o + x = 0. What is o?
-4, -1, 0
Factor -27/7*g + 0 - 3*g**3 + 3/7*g**4 + 45/7*g**2.
3*g*(g - 3)**2*(g - 1)/7
Let v = 2/1095 + 48/365. Solve 0 + 0*i - v*i**2 = 0 for i.
0
Let d = -21 - -24. Let 18*y**3 + 2*y**4 + 2*y**4 - 14*y**d = 0. What is y?
-1, 0
Let 0 + 16/3*z + 1/3*z**2 = 0. What is z?
-16, 0
Find h, given that -117*h**4 + 23*h**2 + 8*h**3 - 17*h**2 + 120*h**4 + h**3 = 0.
-2, -1, 0
Factor 125*x**3 - 705*x**2 - 788*x + 98*x - 5*x**4 + 889 + 801 - 415*x.
-5*(x - 13)**2*(x - 1)*(x + 2)
Let r(u) = -161*u**3 + 314*u**2 - 151*u - 5. Let f(i) = 321*i**3 - 628*i**2 + 303*i + 9. Let j(s) = 3*f(s) + 5*r(s). Let j(n) = 0. Calculate n.
-1/79, 1
Let z(x) = 5*x**3 + 2025*x**2 + 67290*x - 69380. Let u(p) = 2*p**3 + 675*p**2 + 22431*p - 23126. Let h(b) = 10*u(b) - 3*z(b). Factor h(q).
5*(q - 1)*(q + 68)**2
Let d(r) = -7*r - 1. Let p be d(-1). Suppose -2*c**3 - 10*c**3 - 5435*c**2 + 2*c**5 - p*c + 5451*c**2 = 0. Calculate c.
-3, 0, 1
Suppose -73*m + 65 = -42*m - 121. What is r in -8/13*r**2 - m*r + 20/13 = 0?
-10, 1/4
Let y(v) be the third derivative of 0*v**4 + 1/60*v**6 + 0*v**3 - 1/60*v**5 - 1/210*v**7 + v**2 + 0 + 0*v. Determine p so that y(p) = 0.
0, 1
Factor 30/7*o**2 - 108/7*o - 48/7.
6*(o - 4)*(5*o + 2)/7
Let w(d) = d**3 - d**2 - d. Suppose -j = -4*j - 12. Let v be 4*(-1 + j - -4). Let r(t) = -6*t**3 + 6*t**2 + 4*t. Let l(s) = v*w(s) - r(s). Factor l(m).
2*m**2*(m - 1)
Let t(k) be the third derivative of 3*k**8/560 - k**7/140 - 19*k**3/6 + 8*k**2. Let y(b) be the first derivative of t(b). Solve y(r) = 0 for r.
0, 2/3
Factor -69/5 - 3/5*z**2 + 72/5*z.
-3*(z - 23)*(z - 1)/5
Let c(q) be the third derivative of -5/24*q**4 - 1/30*q**5 + 1/120*q**6 + 0*q + 0 + q**3 + 20*q**2. Factor c(o).
(o - 3)*(o - 1)*(o + 2)
Let w = 6241 - 6238. Suppose l**2 - 1/3*l**4 + 0 + 0*l**w - 2/3*l = 0. Calculate l.
-2, 0, 1
Let s = -8 - -11. Suppose -4 = s*k - 7. What is t in -80*t**2 + 78*t**2 - 1 + k = 0?
0
Let r(d) = -4*d + 92. Let h be r(18). Suppose -t = 4*v + 4*t - h, t - 4 = 3*v. Factor 0*u**2 - 2/3*u**3 + v + 2/3*u.
-2*u*(u - 1)*(u + 1)/3
Let s(c) be the third derivative of -c**7/70 + c**6/40 + c**5/5 - c**4/2 + 409*c**2. Solve s(j) = 0 for j.
-2, 0, 1, 2
Let k(q) = 3*q**2. Let x(w) = -7*w**2 + 10*w + 7*w - w**2 - 16*w. Let j(m) = -17*k(m) - 6*x(m). Factor j(a).
-3*a*(a + 2)
Suppose b**4 - 14*b**4 + 4*b**3 + 7*b**4 + b**4 + 6*b**3 = 0. What is b?
0, 2
Let r(d) = -35*d + 4202. Let f be r(120). Find k such that 8/3*k + 2/3*k**f + 0 = 0.
-4, 0
Let d(v) be the third derivative of v**6/270 - 11*v**5/135 - 8*v**4/27 + 640*v**3/27 - 167*v**2 - v. Find h, given that d(h) = 0.
-5, 8
Suppose 1349*t - 1281*t = 136. Factor -15/4*w**t - 3/2*w**3 - 3*w - 3/4.
-3*(w + 1)**2*(2*w + 1)/4
Let l(b) = 3*b**3 + 10*b**2 + 7*b - 6. Let w(r) = -r**3 - 9*r**2 - 7*r + 5. Let v(j) = -2*l(j) - 3*w(j). Find t such that v(t) = 0.
-1, 1/3, 3
Let l(p) be the first derivative of 5*p**4/4 + 110*p**3/3 + 525*p**2/2 + 720*p - 227. Factor l(c).
5*(c + 3)**2*(c + 16)
Factor 20 + 3*z - 12*z**3 + 0*z + 11*z - 2*z**3 - z**2 - 19*z**2.
-2*(z - 1)*(z + 1)*(7*z + 10)
Let l(p) be the first derivative of -2/15*p**3 - 1/5*p**2 + 2 + 12/5*p. Factor l(r).
-2*(r - 2)*(r + 3)/5
Let s(m) be the third derivative of m**8/504 - 2*m**7/63 + 5*m**6/36 - 107*m**2. Factor s(l).
2*l**3*(l - 5)**2/3
Let t(n) be the first derivative of 2*n**5/45 + n**4/18 - 10*n**3/9 - n**2 + 12*n - 69. Factor t(o).
2*(o - 3)*(o - 2)*(o + 3)**2/9
Suppose -85 = -14*l + 27. Factor 6 + 8*m**3 + 7*m**3 - 4*m - 11*m**3 - l*m**2 + 2*m**4.
2*(m - 1)**2*(m + 1)*(m + 3)
Let l be 3*-1*90/(-135). Let a(v) be the first derivative of 3 - 2*v**2 + 2/3*v**3 + l*v. Let a(t) = 0. Calculate t.
1
Let a(v) = -v**3 + 23*v**2 - 42*v + 3. Let y be a(21). Determine s, given that -16/7*s**y - 12/7 + 8/7*s**2 + 4/7*s**4 + 16/7*s = 0.
-1, 1, 3
Let v(d) = -d**3 - 7*d**2 - 10*d. Let g be v(-4). Let b(s) = -s**2 - 10*s - 14. Let x be b(g). Factor 2 + 5*q**2 - x*q**4 - 5*q**2 + 4*q - 4*q**3.
-2*(q - 1)*(q + 1)**3
Suppose -170*o + 166*o + 12 = 0, 2*h - o - 1 = 0. Factor 0 - 2/7*r**4 - 4/7*r - 8/7*r**3 - 10/7*r**h.
-2*r*(r + 1)**2*(r + 2)/7
Let y(k) = -k**3 - k**2 - k + 2. Let p(s) = 15*s**3 - 9*s**2 - 54*s - 84. Let h(z) = p(z) + 18*y(z). What is r in h(r) = 0?
-4, -1
Let q(u) be the third derivative of u**6/180 + 4*u**5/45 + 17*u**4/36 + 10*u**3/9 + 26*u**2. Factor q(o).
2*(o + 1)*(o + 2)*(o + 5)/3
Let x(w) = 150*w**2 + 111*w - 81. Suppose z + g + g + 17 = 0, 3*g = 5*z + 111. Let d(p) = 15*p**2 + 11*p - 8. Let s(v) = z*d(v) + 2*x(v). Factor s(o).
-3*(o + 1)*(5*o - 2)
Let o(r) be the first derivative of -3/25*r**5 + 26 + 0*r**2 + 0*r - 1/15*r**3 - 1/30*r**6 - 3/20*r**4. Suppose o(p) = 0. What is p?
-1, 0
Let b(v) be the second derivative of 20/21*v**3 + 0 + 1/21*v**4 + 50/7*v**2 + 14*v. Factor b(y).
4*(y + 5)**2/7
Let h(g) be the second derivative of 1/8*g**3 + 1/48*g**4 + 1/4*g**2 + 0 + 33*g. What is b in h(b) = 0?
-2, -1
Determine d, given that 4/9*d**2 - 4/9*d + 0 = 0.
0, 1
Let a(z) be the second derivative of 0*z**3 + 2/21*z**7 + 0 - 2/15*z**6 - 2*z + 1/3*z**4 - 1/5*z**5 + 0*z**2. Factor a(o).
4*o**2*(o - 1)**2*(o + 1)
Suppose 5*g + 6*q + 15 = q, g - 4*q = 22. Let 22*d**g + 9*d - 68*d**2 - 35*d - 4 - 8*d**4 + 26*d**4 - 6*d**3 = 0. What is d?
-1, -1/3, 2
Let h = -68754/5 - -13752. Factor 3/5 + h*n + 3/5*n**2.
3*(n + 1)**2/5
Let p(s) = -18*s**2 + 2*s + 4. Let a be p(-2). Let b be (-3 - 3)*32/a. Factor b + 8/3*h + 2/3*h**2.
2*(h + 2)**2/3
Let j(y) = 7*y**5 + 12*y**4 + 3*y**3 - 16*y**2 - 4*y. Let d(u) = 2*u**5 + u**2 - 2*u. Let w(m) = -2*d(m) + j(m). Find b such that w(b) = 0.
-3, -2, 0, 1
Let j be 35*((-1)/(-10) + 1127/3430). Solve -5*i**2 - j*i**3 + 20/3 + 40/3*i = 0.
-2/3, 1
Find j, given that 0 + 0*j - 6/5*j**4 - 27/5*j**3 + 33/5*j**2 = 0.
-11/2, 0, 1
Let a be 8 + 1 + 9099/(-1348). Determine y, given that -3/8*y**3 + a - 3/8*y**4 + 21/8*y**2 + 39/8*y = 0.
-2, -1, 3
Let z(f) be the second derivative of f**7/21 - 13*f**6/60 + 2*f**5/15 + f**4/3 + 16*f**2 + 28*f. Let c(v) be the first derivative of z(v). Factor c(s).
2*s*(s - 2)*(s - 1)*(5*s + 2)
Let n(f) = 2*f**2 - 95*f + 164. Let q(o) = o**2 - 95*o + 162. Let k(p) = 4*n(p) - 3*q(p). Factor k(u).
5*(u - 17)*(u - 2)
Suppose -x - 413 + 414 = 4*h, 0 = -4*h + 5*x - 5. Determine s so that h - 4/7*s - 2/7*s**4 + 6/7*s**3 - 2/7*s**5 + 2/7*s**2 = 0.
-2, -1, 0, 1
Let u(y) be the first derivative of -y**6/540 + y**5/180 + y**4/6 - 4*y**3/3 + 6. Let v(o) be the third derivative of u(o). Factor v(s).
-2*(s - 3)*(s + 2)/3
Let m(c) be the second derivative of -c**6/10 + 267*c**5/10 - 2655*c**4 + 107911*c**3 - 616137*c**2/2 + 114*c. Factor m(n).
-3*(n - 59)**3*(n - 1)
Let x(t) be the first derivative of 20 + 17/3*t**4 + 1/3*t**6 - 34/15*t**5 + 0*t + 8/3*t**2 - 56/9*t**3. Suppose x(l) = 0. Calculate l.
0, 2/3, 1, 2
Let b = 25/91 + 73/728. Let g be (-36)/(-10) - (-4)/10. Factor b*m**g + 0*m + 3/4*m**3 + 3/8*m**2 + 0.
3*m**2*(m + 1)**2/8
Let s(x) be the third derivative of -1/150*x**5 - 1/30*x**4 + 0 + 3*x**2 + 0*x**3 + 0*x. Factor s(g).
-2*g*(g + 2)/5
Let v(n) be the third derivative of 1/12*n**4 + 0 - 12*n**2 + 0*n - 1/12*n**5 + 0*n**3 - 7/120*n**6. Factor v(a).
-a*(a + 1)*(7*a - 2)
Let z be 6/(-15) - 64/(-110). Let i = -5246 - -57708/11. Solve z*u - i*u**2 + 0 + 2/11*u**4 - 2/11*u**3 = 0.
-1, 0, 1
Let a be -3*(-5)/60*1. Let q = 257/4 - 64. Determ