 + 3/4*g**2 = 0. Calculate g.
-44
Let x(v) = -2*v**5 - 12*v**4 - 12*v**3 + 56*v**2 - v - 59. Let g(l) = l**5 + 2*l**2 + 2*l + 1. Let m(n) = -5*g(n) - x(n). What is z in m(z) = 0?
-2, -1, 1, 3
Let w be -2*(-2 - (-3 + 2)). Let -w*q**3 - 3*q**3 + 6*q**3 + 2*q**3 + 3*q**2 = 0. What is q?
-1, 0
Let k(s) be the third derivative of -s**5/270 + 7*s**4/108 + 8*s**3/27 - 3*s**2 - 11*s. Factor k(x).
-2*(x - 8)*(x + 1)/9
Let q = 386941/18138 + 1/6046. Factor -128/9 + 8/3*m**3 - 2/9*m**4 + q*m - 104/9*m**2.
-2*(m - 4)**2*(m - 2)**2/9
Suppose 0 - 9 = -3*y. Determine h, given that -5*h**2 + 40 - 20*h + 3*h**3 - 19*h**2 + 22*h**y - 5*h**4 - 6*h**2 = 0.
-1, 2
Let r(i) = -i**3 - 22*i**2 + 2*i + 42. Let p be r(-22). Let s be 4 - (70/98 - p/2). Factor 10/7*a**3 - s*a**2 + 8/7*a - 2/7*a**4 + 0.
-2*a*(a - 2)**2*(a - 1)/7
Suppose 0 - 2/5*h**3 + 4/5*h**2 + 0*h + 4*h**5 - 22/5*h**4 = 0. Calculate h.
-2/5, 0, 1/2, 1
Find k such that -88/7*k + 16/7 - 18/7*k**5 - 24/7*k**4 + 94/7*k**3 + 92/7*k**2 = 0.
-2, 1/3, 2
Let b be (-12)/(-4) - -2*1. Factor 0*m**2 - m**5 + 2*m**b - 3*m**3 + 2*m**4 + 0*m**2.
m**3*(m - 1)*(m + 3)
Let k be (174/(-1305) - 22/15)/(-1). Determine h so that -2/5*h**2 + 0*h + 2*h**3 + 0 - k*h**4 = 0.
0, 1/4, 1
Let s = 516 - 516. Let i(t) be the third derivative of -1/15*t**5 - 8/3*t**3 + 0*t + s + 2/3*t**4 - t**2. Find b such that i(b) = 0.
2
Let c(u) = 27*u**3 + 108*u**2 + 109*u + 34. Let q(y) = 55*y**3 + 215*y**2 + 215*y + 70. Let o(k) = -5*c(k) + 2*q(k). Let o(j) = 0. What is j?
-3, -1, -2/5
Let p(f) be the third derivative of -16*f**2 + 0*f + 0*f**3 - 1/20*f**5 + 0*f**4 - 1/70*f**7 + 0 + 1/20*f**6. Factor p(k).
-3*k**2*(k - 1)**2
Let z(g) = g**3 + 25*g**2 + 48*g + 51. Let t be z(-23). Let l = -14/11 - -92/55. Solve 0*r - 4/5*r**2 + 0 - 8/5*r**4 - l*r**t - 2*r**3 = 0.
-2, -1, 0
Let x(i) be the third derivative of -i**9/1890 + i**8/700 - i**6/450 + 11*i**3/3 + 20*i**2. Let f(b) be the first derivative of x(b). What is p in f(p) = 0?
-1/2, 0, 1
Let k(c) be the second derivative of -c**6/165 - 17*c**5/110 - c - 6. Let k(p) = 0. Calculate p.
-17, 0
Let a(l) be the third derivative of -l**8/336 + 4*l**7/105 - l**6/20 - 2*l**5/15 + 7*l**4/24 + 11*l**2. Factor a(v).
-v*(v - 7)*(v - 1)**2*(v + 1)
Suppose -15*k = 2*k - 34. Let l(a) be the first derivative of 1/3*a**3 + 0*a**k + 0*a + 1/4*a**4 - 7. Factor l(r).
r**2*(r + 1)
Let n(c) be the first derivative of -6/5*c**2 + 6 - 8/15*c**3 + 0*c + 1/5*c**4. What is m in n(m) = 0?
-1, 0, 3
Let d be (10/35)/(2/14). Suppose d*t = 5*t. Factor 2*j**3 - 3 - 6*j + 7 + t*j**3.
2*(j - 1)**2*(j + 2)
Let k(o) be the first derivative of -o**6/14 - 18*o**5/35 - 39*o**4/28 - 12*o**3/7 - 6*o**2/7 + 40. Factor k(z).
-3*z*(z + 1)**2*(z + 2)**2/7
Let p(l) be the first derivative of 5*l**3/3 + 305*l**2/2 + 300*l - 182. Let p(m) = 0. What is m?
-60, -1
Let f(k) be the third derivative of -1/120*k**6 + 3*k**2 + 0*k**5 + 0*k**3 + 1/6*k**4 + 0 + 0*k. Factor f(p).
-p*(p - 2)*(p + 2)
Let v be (-153)/(-6) + -6 - -3. Factor 5/2*h**4 + 5 + v*h**2 + 25/2*h**3 + 35/2*h.
5*(h + 1)**3*(h + 2)/2
Let w = 61 - 57. Suppose 4*d + w*d = 2*d. Factor 0 + 0*g - 1/3*g**3 + d*g**2.
-g**3/3
Let t(i) = 6*i**4 - 66*i**3 + 70*i**2 + 109*i. Let g(h) = h**4 - 13*h**3 + 14*h**2 + 22*h. Let d(s) = 33*g(s) - 6*t(s). Determine a, given that d(a) = 0.
-12, -1, 0, 2
Let h = 50 + -43. Let j(s) = -2*s**2 - 7. Let o(p) = p**2 + 4. Let a(x) = h*o(x) + 4*j(x). What is b in a(b) = 0?
0
Let m = -8 + 12. Let v = -82 - -85. Factor -4*f**3 - 6*f - 2*f**3 - 3*f**2 - 12*f**2 - 6*f**3 - v*f**m.
-3*f*(f + 1)**2*(f + 2)
Let a(b) be the second derivative of 7*b**4/60 + 2*b**3/5 + b**2/2 + 65*b. Suppose a(d) = 0. Calculate d.
-1, -5/7
Let w(f) be the first derivative of 1/30*f**6 + 0*f - 7/2*f**2 + 7 + 1/3*f**5 + 4/3*f**4 + 8/3*f**3. Let p(g) be the second derivative of w(g). Factor p(c).
4*(c + 1)*(c + 2)**2
Suppose 5*w - 41 + 11 = 0. Suppose 185*s - 14 = 178*s. Let -18 + 16*n**s - 12*n**3 + 7*n + w*n + 2*n**4 - n = 0. What is n?
-1, 1, 3
Let d(r) = -6*r**2 + 6*r + 9. Suppose 3*w - 6*w + 6 = 0. Let f be w + (-15)/3 + 0. Let q(t) = -7*t**2 + 6*t + 9. Let h(o) = f*q(o) + 4*d(o). Factor h(k).
-3*(k - 3)*(k + 1)
Factor 119562 + 332*f**3 + 37902 + 96228*f + 0*f**4 + 9396*f**2 + 4*f**4.
4*(f + 2)*(f + 27)**3
Let b(x) = -x**3 + 7*x**2 - 6*x - 2. Let g be b(6). Let s be 27/6*(-3)/9 - g. Factor 1/2*u**2 + s + u.
(u + 1)**2/2
Factor 900*c**2 - 21*c**3 - 120*c - 43*c**3 - 728*c**2 + 4*c**4 + 8*c**3.
4*c*(c - 10)*(c - 3)*(c - 1)
Suppose -30 = -2*g - g. Suppose -3*t + g = 2*t. Suppose -y**2 + 14*y**4 + 6*y**5 - 4*y**4 + t*y**3 - y**2 = 0. Calculate y.
-1, 0, 1/3
Let l(u) be the second derivative of u**7/28 + u**6/20 + 372*u. Factor l(m).
3*m**4*(m + 1)/2
Let s = -2 + 4. Let a(k) = -k**3 + 21*k**2 - 26*k + 122. Let o be a(20). Factor 3*v**2 + v**2 + o*v**2 + 18*v**3 + 14*v**4 - s*v**2.
2*v**2*(v + 1)*(7*v + 2)
Factor -33 - 4*c**2 + 43 - 44*c - 82.
-4*(c + 2)*(c + 9)
Suppose -4/15*y - 2/15*y**3 + 2/5*y**2 + 0 = 0. What is y?
0, 1, 2
Let y(a) = -a**3 - 2*a**2 + a + 2. Let j(p) = 8*p**3 + 122*p**2 - 470*p + 460. Let s(b) = j(b) + 6*y(b). Factor s(u).
2*(u - 2)**2*(u + 59)
Let a(n) = -5*n**2. Let r(q) = 4*q**2 - 1. Suppose -4*v + 22 - 10 = 0. Let m(h) = v*a(h) + 4*r(h). Find u, given that m(u) = 0.
-2, 2
Suppose 7 = 2*d - 2*f - 7, -8 = -5*d - 4*f. Let o(n) be the second derivative of -3/5*n**2 - 6*n + 0 - 3/10*n**3 - 1/20*n**d. Factor o(u).
-3*(u + 1)*(u + 2)/5
Let p = 11/13190 - -28872811/118710. Let j = p - 243. Suppose j*c**5 + 0 + 2/9*c**2 - 2/9*c**4 - 2/9*c**3 + 0*c = 0. What is c?
-1, 0, 1
Let v = 2 - -1. Let b(x) = -x**3 + 6*x**2 - 7*x + 12. Let w be b(5). Factor -r**4 + 10*r**3 + 8 - w*r**2 - 8*r - 2*r**v - r**4 - 4*r**2.
-2*(r - 2)**2*(r - 1)*(r + 1)
Suppose -317*c = 160*c. Find a such that -1/3*a**5 + c*a + 4/3*a**3 + 2/3*a**4 - 8/3*a**2 + 0 = 0.
-2, 0, 2
Let a(r) = 3*r**3 - 433*r**2 + 15137*r - 206763. Let n(y) = y**3 - 147*y**2 + 5046*y - 68921. Let b(w) = -3*a(w) + 8*n(w). Factor b(g).
-(g - 41)**3
Let d(s) be the third derivative of 5/3*s**3 + 0 + 5/8*s**4 + 0*s + 1/12*s**5 - 23*s**2. Solve d(w) = 0.
-2, -1
Let a = 517/92 + -112/23. Find m, given that 0*m + 0 - a*m**2 = 0.
0
Suppose 54/11*i**2 + 30/11*i**4 + 108/11*i**3 - 120/11*i - 72/11 = 0. What is i?
-2, -3/5, 1
Let p(f) be the first derivative of f**9/2268 - f**7/630 - 2*f**3 - 20. Let a(w) be the third derivative of p(w). Factor a(d).
4*d**3*(d - 1)*(d + 1)/3
Factor 15*g**2 - 40 + 5*g**3 - 126*g + 263*g - 167*g.
5*(g - 2)*(g + 1)*(g + 4)
Let r(i) = -i**4 - i**2 - 2*i. Let o(m) = 2*m**5 - 9*m**4 - 12*m**3 + 11*m**2 - 12. Let t(k) = o(k) - 5*r(k). Determine j, given that t(j) = 0.
-2, -1, 1, 3
Let b(u) be the third derivative of 11/16*u**8 - 69/70*u**7 + 73/20*u**5 + 3/2*u**4 - 2*u**3 + 0*u + 0 - 11*u**2 - 89/40*u**6. What is v in b(v) = 0?
-1, -2/7, 2/11, 1
Let j(p) = -p**2 + 1087*p + 3. Let k be j(0). Factor 0 + 0*l**4 + 2/11*l**5 - 8/11*l**k + 0*l + 0*l**2.
2*l**3*(l - 2)*(l + 2)/11
Suppose -4*p = -20, -y - p - p - 88 = 0. Let t = y - -399/4. Factor 0 - 1/2*u + t*u**2.
u*(7*u - 2)/4
Let v(d) be the third derivative of d**7/420 + 7*d**6/180 + 4*d**5/15 + d**4 - 7*d**3/3 + 14*d**2 + 1. Let x(h) be the first derivative of v(h). Factor x(y).
2*(y + 2)**2*(y + 3)
Let p = -35 - -37. Factor -4 + 4*r**2 - 10*r - 6*r**2 - 2*r**3 - 4*r**2 - 2*r**p.
-2*(r + 1)**2*(r + 2)
Let x be (2/(-3))/((-1200)/225). Let 1/4*h + x*h**2 - 1/8*h**3 + 0 = 0. Calculate h.
-1, 0, 2
Let r(w) = -165*w**3 - 505*w**2 + 1225*w - 695. Let z(n) = -14*n**3 - 42*n**2 + 102*n - 58. Let t(b) = -3*r(b) + 35*z(b). Factor t(d).
5*(d - 1)**2*(d + 11)
Let a be (-1)/(-2) - 9/(-6). Factor -6*i**2 - 2 - i**2 - i**3 - i**2 + 4*i**a - 5*i.
-(i + 1)**2*(i + 2)
Factor -h**2 - 6783 - 2*h**2 + 6*h + 6828.
-3*(h - 5)*(h + 3)
Let q(z) = -11*z**2 + 37*z - 5. Let y(d) = 19*d + 23*d**2 - 28*d**2 + 6 - 8. Let t(o) = 2*q(o) - 5*y(o). Factor t(k).
3*k*(k - 7)
Let y(t) = -13*t**2 + 675*t + 173. Let c(s) = -14*s**2 + 676*s + 174. Let f(m) = -5*c(m) + 6*y(m). Factor f(u).
-2*(u - 84)*(4*u + 1)
Let o(a) be the first derivative of -5*a**4/2 - 17*a**3/9 + a**2/3 - 269. Find m such that o(m) = 0.
-2/3, 0, 1/10
Let u(a) = a**2 + 60*a - 1085. Let t(g) = -6*g**2 - 297*g + 5423. Let k(z) = -2*t(z) - 11