b) be the first derivative of m(b). Factor z(y).
-y*(y + 1)**2/4
Factor -31827/5 - 618/5*z - 3/5*z**2.
-3*(z + 103)**2/5
Let t = -3598/9 + 400. Let k = -5/2 + 49/18. Let k*r**2 - t*r**3 + 0*r + 0 = 0. What is r?
0, 1
Let v(a) = -3*a**5 + 6*a**3 + 12*a**2 - 15*a - 12. Let t(i) = -11 + 0 + 7*i**3 + 14*i**2 - 3*i**2 - 3*i**5 - 14*i. Let k(b) = 6*t(b) - 5*v(b). Factor k(g).
-3*(g - 2)*(g - 1)*(g + 1)**3
Let h(w) = 7*w**2 - 50*w - 4. Let s(b) = -b**2 + 2*b + 1. Let z(f) = -h(f) - 4*s(f). What is p in z(p) = 0?
0, 14
Let c = 15/146 + 29/73. Suppose 1 - 1/2*b - c*b**2 = 0. Calculate b.
-2, 1
Determine y, given that 1/8*y**2 - 5/8 + 1/2*y = 0.
-5, 1
Let c be 4/12 - (-6)/(-288)*-20. Factor c*q**2 + 0*q + 0 + 0*q**3 - 3/4*q**4.
-3*q**2*(q - 1)*(q + 1)/4
Let k(x) be the second derivative of 2/165*x**6 + 2/33*x**4 + 0*x**3 + 9/110*x**5 - 35*x + 0 + 0*x**2. Find t such that k(t) = 0.
-4, -1/2, 0
Let k(t) be the second derivative of -14*t - 75/8*t**2 - 1/16*t**4 + 0 - 5/4*t**3. Suppose k(x) = 0. What is x?
-5
Suppose 20*a + 18*a - 88 = -6*a. Factor -1/4*x**3 - 3/4*x + 3/4*x**a + 1/4.
-(x - 1)**3/4
Let j = 14930 + -44789/3. Factor -1/3 + 1/3*u**3 - j*u + 1/3*u**2.
(u - 1)*(u + 1)**2/3
Let f = -2021 + 763939/378. Let v = 1007/378 + f. What is w in -2/3*w**5 + 4/3*w**4 + 0 - 8/3*w**2 - v*w + 2*w**3 = 0?
-1, 0, 2
Let g = 12653/3249 - 2/361. Let h = g + -113/36. Factor 3*y**2 + h*y**3 + 15/4*y + 3/2.
3*(y + 1)**2*(y + 2)/4
Let w be 6/21 - 66/(-14). Let s = -2 + w. Solve 5 + 12*f**4 - 2 - 3*f**s - 3 = 0.
0, 1/4
Suppose 32 = -w - 1. Let j = 33 + w. Find y such that -1/2*y + j - 1/4*y**2 = 0.
-2, 0
Let o(b) be the third derivative of b**6/900 + b**5/300 + 5*b**3/6 + 3*b**2. Let m(x) be the first derivative of o(x). Factor m(a).
2*a*(a + 1)/5
Let m(v) be the first derivative of 0*v + 2/7*v**3 - 5/14*v**2 - 1/28*v**4 - 7. Determine o so that m(o) = 0.
0, 1, 5
Let d(i) be the second derivative of -i**5/100 + 17*i**4/60 - 11*i**3/6 + 39*i**2/10 - 366*i. Determine p so that d(p) = 0.
1, 3, 13
Suppose -5*t = -3*t + 9*t. Let a(x) be the third derivative of t + 0*x**3 + 3*x**2 + 0*x - 1/20*x**5 + 1/4*x**4. Factor a(z).
-3*z*(z - 2)
Let d = 3087 - 21601/7. Factor -d - 52/7*b - 44/7*b**2.
-4*(b + 1)*(11*b + 2)/7
Let i(y) = y**3 + 2*y**2 - 3*y + 2. Let w be i(1). Let f(a) be the first derivative of 5 + 1/12*a**4 + 1/2*a**w - 1/3*a**3 - 1/3*a. Factor f(t).
(t - 1)**3/3
Let s(v) be the first derivative of -v**4/24 + v**3/3 - 2*v**2/3 - 1. Factor s(i).
-i*(i - 4)*(i - 2)/6
Let p(w) be the first derivative of -w**6/18 + 2*w**5/15 - w**4/12 - 200. Factor p(z).
-z**3*(z - 1)**2/3
Let g be 0/(6 - 3 - 5). Let h(j) be the third derivative of 1/600*j**6 + g + 0*j**3 + 1/120*j**4 - 1/150*j**5 - 11*j**2 + 0*j. Determine c so that h(c) = 0.
0, 1
Let -8/5*l - 6/5*l**2 + 8/5*l**3 - 1/5 + 7/5*l**4 = 0. What is l?
-1, -1/7, 1
Let z(k) be the second derivative of 11*k - 1/42*k**4 - 2/21*k**3 + 0 + 1/70*k**5 + 0*k**2. Factor z(l).
2*l*(l - 2)*(l + 1)/7
Let t = 2733 + -2733. Suppose t*y**4 + 4/7*y**3 + 0*y**2 - 2/7*y**5 + 0 - 2/7*y = 0. What is y?
-1, 0, 1
Solve 14/9*d + 0 + 2/9*d**2 = 0 for d.
-7, 0
Suppose 8*q = 297 - 33. Solve 5 + 32*b + 6*b**2 - q - 10*b**2 = 0 for b.
1, 7
Let v = -8644 - -8649. Factor 8/9*q**4 + 2/9*q**v + 10/9*q**3 + 0*q + 4/9*q**2 + 0.
2*q**2*(q + 1)**2*(q + 2)/9
Let m = -71 - -75. Factor 2*c**2 - 4*c**3 - 2989*c**4 + 2989*c**m + c**5 - 2 + 3*c.
(c - 1)**3*(c + 1)*(c + 2)
Let j be 10/(-2)*(-6)/15. Suppose 5*r - 12 = k, -4*r - 4*k + k = -j. Factor 0 + 2/3*c**3 + 0*c**r - 2/3*c.
2*c*(c - 1)*(c + 1)/3
Let 159/7*r + 81/7 + 75/7*r**2 - 3/7*r**3 = 0. Calculate r.
-1, 27
Let v(l) be the second derivative of -l**6/10 - 8*l**5/25 + 41*l**4/60 + l**3/5 - 25*l. Solve v(b) = 0.
-3, -2/15, 0, 1
Let u(f) = -6*f + 6. Let m be u(5). Let v = -18 - m. Suppose 3*b**2 + b**2 - 6*b**2 - v*b + 4*b = 0. What is b?
-1, 0
Let r be 616/112 + 30/(-12). Find c, given that 0 + c**r + 1/2*c**4 - c - 1/2*c**2 = 0.
-2, -1, 0, 1
Suppose 16*i + 38 = -32 + 70. Factor i*q**2 - 12/11 - 6/11*q**3 + 18/11*q.
-6*(q - 1)**2*(q + 2)/11
Let o(d) = -d**2 + d + 1. Let k(g) = 4*g**2 - 394*g + 99. Let m(p) = 4*k(p) + 44*o(p). Solve m(v) = 0.
-55, 2/7
Suppose 850 = 13*q + 5. Let s be (-9)/2*8/(-6). Let -44*m - q + 81 + 4*m**2 + s*m**2 = 0. What is m?
2/5, 4
Solve 9*a**4 - 3*a + 8*a**2 - 7*a**2 + 2*a**2 + 15*a**3 = 0 for a.
-1, 0, 1/3
Let m be (37 - -2) + 15/5. Factor -10 + 10*v**2 - v + m*v - 35*v**3 - 6*v.
-5*(v - 1)*(v + 1)*(7*v - 2)
Solve -24 + 4*q**4 + 4*q**5 + q + 19*q + 12 - 24*q**3 + 8*q**2 + 0*q**4 = 0 for q.
-3, -1, 1
Let y = 7 + -1. Let s be (-12)/9*y/(-4). Suppose 6*r**2 + 2*r**3 - 4 + 4 - 4*r**s = 0. Calculate r.
-1, 0
Let x(n) = 21*n**2 - 8*n - 22. Let r(z) = 5*z**2 - 2*z - 6. Let k(j) = 26*r(j) - 6*x(j). Factor k(y).
4*(y - 3)*(y + 2)
Suppose 7*h - 4*h - 6 = 0. Find j such that 9*j**2 + 7*j - 8*j**h - j - 4*j**2 = 0.
0, 2
Let i be ((-3)/9)/((-78)/(-27) + -3). Suppose 0 = -3*g - 4*u - 8, -2*u = -4*g + i + 1. Factor 0 + g*b**2 + 2/5*b**3 - 2/5*b**4 + 0*b.
-2*b**3*(b - 1)/5
Let z(r) be the first derivative of -8/15*r**5 - 8/9*r**3 + r**4 + 0*r + 1/9*r**6 + 1/3*r**2 + 18. Factor z(d).
2*d*(d - 1)**4/3
Let i = 2/9259 + 9249/46295. Let -2/5*w**3 + i*w + 0 + 0*w**2 + 0*w**4 + 1/5*w**5 = 0. Calculate w.
-1, 0, 1
Let q(a) be the third derivative of a**6/60 + 2*a**5/15 - 41*a**4/12 + 12*a**3 + 756*a**2. Factor q(m).
2*(m - 4)*(m - 1)*(m + 9)
Let g(w) be the second derivative of -w**7/147 + w**6/105 + 9*w**5/70 - 3*w**4/14 + w - 17. What is v in g(v) = 0?
-3, 0, 1, 3
Determine t so that 8*t + 0 - 2/5*t**2 = 0.
0, 20
Let w be (66/30 + -2)/((-1)/(-27)). Let n = -49/10 + w. Factor 1/4*a**2 - n*a - 3/4*a**4 + a**3 + 0.
-a*(a - 1)**2*(3*a + 2)/4
Let p(l) = 70*l + 983. Let s be p(-14). Find b such that -1/3*b - b**2 + 2/3 + 1/3*b**4 + 1/3*b**s = 0.
-2, -1, 1
Let a(n) be the second derivative of 2*n**4/3 + 4*n**3 - 31*n. Let l(c) = -12*c**2 - 36*c. Let j(h) = 8*a(h) + 5*l(h). Factor j(k).
4*k*(k + 3)
Factor 267/4*m**2 - 1/4*m**3 - 17955/4*m + 17689/4.
-(m - 133)**2*(m - 1)/4
Let d be (-6)/127*(-14)/42. Let c = d - -119/508. Solve 0*f**4 + 1/4*f + c*f**5 + 0*f**2 + 0 - 1/2*f**3 = 0.
-1, 0, 1
Suppose 16*v - s + 9 = 18*v, -3*v + 2*s + 17 = 0. Let g(t) be the first derivative of -5 + 0*t**2 + 0*t**3 + 0*t - 3*t**4 - 1/2*t**6 - 12/5*t**v. Factor g(a).
-3*a**3*(a + 2)**2
Let f(z) be the third derivative of -z**6/1800 - 3*z**5/200 - 11*z**3/6 - 16*z**2. Let o(s) be the first derivative of f(s). Factor o(w).
-w*(w + 9)/5
Let v(p) be the first derivative of 11/4*p**3 - 63/16*p**4 - 3/4*p**2 + 14 - 5/8*p**6 + 51/20*p**5 + 0*p. Factor v(c).
-3*c*(c - 1)**3*(5*c - 2)/4
Let f(w) be the first derivative of -2*w**5/25 - w**4/10 + 4*w**3/15 - 54. Factor f(u).
-2*u**2*(u - 1)*(u + 2)/5
Let r(i) = i**2 - i + 1. Let d(t) = -8*t**2 - 734 + 7*t + 731 + t. Let w(q) = d(q) + 3*r(q). Factor w(c).
-5*c*(c - 1)
Determine d, given that -4*d**4 - 7*d**2 + 9*d**2 + 12*d**3 - 28*d**3 - 8*d - 22*d**2 = 0.
-2, -1, 0
Suppose 1/7*c**2 + 1/7*c**3 + 0 - 2/7*c = 0. Calculate c.
-2, 0, 1
Determine c so that 27*c**3 + 2*c**4 + 3*c**5 - 3*c**4 + 31*c**4 = 0.
-9, -1, 0
Let o(m) be the first derivative of -2*m**5/15 + m**4/3 + 2*m**3/9 - 2*m**2/3 - 43. Factor o(c).
-2*c*(c - 2)*(c - 1)*(c + 1)/3
Let -86*i**4 + i + 25*i**3 - 21*i**2 + 122*i**3 - 257*i**4 = 0. Calculate i.
0, 1/7
Let r(h) be the third derivative of h**5/210 + 4*h**4/21 + 5*h**3/7 - 2*h**2 - 4. Factor r(q).
2*(q + 1)*(q + 15)/7
Let b(c) be the third derivative of 1/3*c**4 + 5*c**2 + 0 + 1/30*c**5 + 4/3*c**3 + 0*c. Find v, given that b(v) = 0.
-2
Suppose 4*o = 2*u - 54, 3*u - 73 = -u + o. Suppose 10*z = 13 + u. Factor 0 - 2/5*f**z + 2/5*f + 0*f**2.
-2*f*(f - 1)*(f + 1)/5
Find a such that -3528/5 + 168/5*a - 2/5*a**2 = 0.
42
Let d be 4/22 + 6/(-33). Let j be 7/(294/(-18)) - (-1 - d). Suppose 0 - j*f**2 - 2/7*f**4 + 0*f + 6/7*f**3 = 0. What is f?
0, 1, 2
Suppose -48*q + 53*q = f + 13, -3*f - 3*q = -15. Determine r so that 13/4*r**4 - 14*r**f + 4 + 5/4*r**5 - 4*r - 4*r**3 = 0.
-2, -1, 2/5, 2
Let y(p) = -27*p**3 - 106*p**2 + 20*p - 4. Let c(f) = -54*f**3 - 211*f**2 + 41*f - 7. Let x(a) = 4*c(a) - 7*y(a). Factor x(r).
-3*r*(r + 4)*(9*r - 2)
Let x = 5221/36 - 1303/9. Factor 1 - x*d**2 + 3/4*d.
-(d - 4)