 + h + 1. Let a(y) = -4*g(y) - 20*w(y). Suppose a(b) = 0. What is b?
175
Let y(s) be the second derivative of 5/4*s**4 + 0 - 11/4*s**5 + 20/3*s**3 - 22*s + 1/6*s**6 - 10*s**2 + 5/14*s**7. Determine x so that y(x) = 0.
-2, -1, 2/3, 1
Let d be (-62)/(-279) - ((-55)/(-45) + -1). Find b such that 0*b**2 - 1/5*b**3 + 0 + d*b = 0.
0
Let w(d) be the first derivative of -2/15*d**3 + 2 - 10*d - 2*d**2. Factor w(h).
-2*(h + 5)**2/5
Let g(o) be the second derivative of o**6/90 - 3*o**5/20 - 17*o**4/3 - 472*o**3/9 - 224*o**2 - 152*o - 1. Factor g(r).
(r - 21)*(r + 4)**3/3
Let u be (4/(-10))/((-2)/(-5)*-5). Find n such that -u*n**4 + 0*n**2 + 0 + 2/5*n**3 + 0*n = 0.
0, 2
Let g be 1*(-337)/(-6) - (-6)/(-36). Let x be (4/g*1)/(3/24). Determine m so that 32/7*m - 64/7 - x*m**2 = 0.
4
Let u(j) be the second derivative of 0 + 0*j**3 + 1/270*j**5 + 0*j**4 + 1/540*j**6 - 2*j**2 - 6*j. Let p(k) be the first derivative of u(k). Factor p(o).
2*o**2*(o + 1)/9
Find x such that 14/11 + 58/11*x + 8/11*x**2 = 0.
-7, -1/4
Let n = -6 - -8. Suppose -n*c + 5*v + 8 = 0, -3*c - 2*v = 2*c - 20. Factor -2*j + 4*j**2 + 2*j**4 + 4*j + j**c - 2*j**5 - 7*j**4.
-2*j*(j - 1)*(j + 1)**3
Suppose -12*w = 3*z - 11*w - 11, -z + 4*w = 18. Let 1/5*n**3 + 0 - 1/5*n**4 + 0*n + 2/5*n**z = 0. Calculate n.
-1, 0, 2
Let x(k) be the second derivative of 12*k + 3/14*k**2 + 0*k**3 - 3/70*k**5 + 1/49*k**7 + 0 + 3/70*k**6 - 1/7*k**4. Suppose x(b) = 0. What is b?
-1, 1/2, 1
Let r be (64/40)/(1/5). Let w = 13 - r. Determine u, given that 8*u - w + 6*u**4 + 3 - 14*u**3 + 2 = 0.
-2/3, 0, 1, 2
Let k(w) be the third derivative of -1/12*w**5 + 0*w - 5*w**4 - 120*w**3 + 0 - 28*w**2. What is u in k(u) = 0?
-12
Factor 486 + 36*s + 2/3*s**2.
2*(s + 27)**2/3
Let t be (5 - 85)/10 + 8. Let r(m) be the third derivative of 0 - 5/12*m**4 + m**2 - 1/12*m**5 + t*m + 0*m**3. Solve r(a) = 0.
-2, 0
Let o(g) be the third derivative of 14*g**2 - 5/72*g**4 + 0*g - 2/9*g**3 + 0 - 1/180*g**5. Factor o(k).
-(k + 1)*(k + 4)/3
Let w = -30543 - -30546. Solve 2/11*s**2 + 0*s + 20/11*s**w + 0 = 0 for s.
-1/10, 0
Let h(z) = 11*z**2 + 32*z + 13. Let d(j) be the second derivative of 5*j**4/12 + 5*j**3/2 + 3*j**2 - 30*j. Let l(k) = -13*d(k) + 6*h(k). What is v in l(v) = 0?
0, 3
Factor 1/2*o**4 - 54*o**2 - 215*o - o**3 - 325/2.
(o - 13)*(o + 1)*(o + 5)**2/2
Let p(b) be the second derivative of b**4/6 + 82*b**3/3 + 1681*b**2 - b - 85. What is d in p(d) = 0?
-41
Let i(g) be the second derivative of -1/10*g**5 + 11/105*g**6 + 0*g**3 - 5/147*g**7 - 3*g + 0 + 0*g**2 + 1/42*g**4. Factor i(h).
-2*h**2*(h - 1)**2*(5*h - 1)/7
Let v(w) be the third derivative of -w**10/378000 + w**9/151200 + 2*w**5/15 + 10*w**2. Let n(k) be the third derivative of v(k). What is m in n(m) = 0?
0, 1
Suppose 213*s = -72*s - 47*s + 3012900. Factor -43923/2 + 59895/2*g + 3/2*g**5 + 1155*g**3 - 135/2*g**4 - s*g**2.
3*(g - 11)**4*(g - 1)/2
Let u(j) be the first derivative of j**4/14 + 2*j**3/7 + 2*j**2/7 + 55. Factor u(i).
2*i*(i + 1)*(i + 2)/7
Let l be (0 - (-4)/(-10)) + (-992)/(-155). Find g, given that 3*g**4 + l*g**2 - 266 + 266 + 9*g**3 = 0.
-2, -1, 0
Factor -18*k + 15*k**2 - 9*k - k**3 + 2570 - 2813.
-(k - 9)**2*(k + 3)
Let z(q) = 10*q**2 - 9*q**2 + q - 14 - q**3 + 11*q**2 + 4. Let w be z(12). Solve w*a**3 + 4*a**4 - 6*a**5 - 6*a**4 - a**3 + 3*a**3 = 0 for a.
-1, 0, 2/3
Solve 6*h**4 - 38 + 80 + 15*h**5 - 42 - 18*h**5 + 45*h**3 = 0.
-3, 0, 5
Let f be ((-12)/(-140))/(3/60). Let 3/7*t**5 - 6/7*t**2 - f*t**3 + 9/7*t + 6/7 + 0*t**4 = 0. What is t?
-1, 1, 2
Let t(g) be the first derivative of g**6/960 - g**5/160 - 3*g**4/64 - 13*g**3/3 + 11. Let u(j) be the third derivative of t(j). Let u(y) = 0. Calculate y.
-1, 3
Factor w**3 + 0*w - 2/3*w**2 + 0 + 0*w**4 - 1/3*w**5.
-w**2*(w - 1)**2*(w + 2)/3
Let j(g) = 5*g**2 - g + 1. Suppose -2 = 5*p - 7. Let f be j(p). Factor -6 + 3*w**5 + 15*w - 3*w**f - 3*w**5 - 12*w**3 - 6*w**2 + 12*w**4.
-3*(w - 2)*(w - 1)**3*(w + 1)
Let h be (-138 - -145) + 2*37/(-12). Factor -5/2 + h*v + 5/2*v**2 - 5/6*v**3.
-5*(v - 3)*(v - 1)*(v + 1)/6
Suppose 27/5*q**2 + 21/5 - 3/5*q**3 - 9*q = 0. Calculate q.
1, 7
Suppose -11 + 2*h**2 + 46 + 7*h + 51*h - 14*h + 7 = 0. What is h?
-21, -1
Let r(d) be the first derivative of -10 - 2/7*d - 2/7*d**2 - 2/21*d**3. Factor r(x).
-2*(x + 1)**2/7
Let t = 37678/21 - 1794. Factor 2/21*q**5 - 4/21*q**2 - 2/7*q + t*q**3 - 2/21 + 2/7*q**4.
2*(q - 1)*(q + 1)**4/21
Suppose 62 = 4*w + 3*r, 4*w + 6*r = 4*r + 60. Factor -2*g**2 + 0*g**3 - w*g + 4*g**3 + 4 - 8*g**2 + 4*g**3.
2*(g - 2)*(g + 1)*(4*g - 1)
Let t be (2 - 1) + (-12 - (-1476)/132). Determine d, given that -t*d + 0 + 2/11*d**2 = 0.
0, 1
Factor -19*g**2 - 6*g**3 + 12 + 1793*g - 1778*g - 2*g**2.
-3*(g - 1)*(g + 4)*(2*g + 1)
Let p(v) be the second derivative of -30*v**2 + 35/2*v**5 - 995/12*v**4 + 14*v + 0 + 230/3*v**3 + 49/6*v**6. Factor p(w).
5*(w - 1)*(w + 3)*(7*w - 2)**2
Let t(c) be the first derivative of -c**3/3 - 10*c**2 + 21*c + 820. Factor t(g).
-(g - 1)*(g + 21)
Let w be -6 - (-4 + 8) - -3. Let n = w + 7. What is l in -3/2*l**3 + 0 - 3/2*l**2 + n*l = 0?
-1, 0
Determine w so that 0 - 8/3*w + 25/6*w**5 - 10/3*w**4 + 40/3*w**2 - 16*w**3 = 0.
-2, 0, 2/5, 2
Let y(g) = -6 + 8 - g + 10. Let z be y(10). Factor -11*u**2 + 14*u**2 - 5*u**z.
-2*u**2
Let v(r) be the first derivative of r**6/1080 - r**5/36 + r**4/8 - 8*r**3 + 6. Let c(l) be the third derivative of v(l). Solve c(i) = 0.
1, 9
Let l be -1 - (1848/(-175))/8. Let f(u) be the second derivative of 2/15*u**3 + 0*u**2 - 11/30*u**4 + 0 - 7/75*u**6 + 2*u + l*u**5. Factor f(v).
-2*v*(v - 1)**2*(7*v - 2)/5
Suppose 10 = 2*x - 3*r, 3*x - 4*r = r + 16. Let i be (2 + (-39)/24)*x/3. Factor 2*l + i*l**2 - 1/4*l**4 + 1/4*l**5 + 1 - 5/4*l**3.
(l - 2)**2*(l + 1)**3/4
Let 3 + 33/2*i + 39/2*i**3 + 9/2*i**4 + 57/2*i**2 = 0. Calculate i.
-2, -1, -1/3
Let a(i) = -12*i**4 + 20*i**3 - 4*i**2 - 28*i. Let h(o) = 14*o**4 - 21*o**3 + 4*o**2 + 29*o. Let n(c) = 5*a(c) + 4*h(c). Determine j, given that n(j) = 0.
-1, 0, 2, 3
Suppose -4*l + 6 = g - 3*l, 0 = g + 4*l - 12. Suppose g = 6*v - 8. Factor -1/6 - 1/3*r - 1/6*r**v.
-(r + 1)**2/6
Let p = -15/248 + 169/744. Suppose 2*l = 5*l. Let l + 1/6*g**2 - p*g**4 + 1/6*g**3 - 1/6*g = 0. Calculate g.
-1, 0, 1
Let k(g) = -g - 1. Let o be k(-6). Suppose 2*r = 5*p + 8 - 34, -2*p = r - o. Suppose -4*h - 21*h**2 + 9*h**2 + 4 + 8*h**4 - p*h**3 + 8*h**3 = 0. Calculate h.
-1, 1/2, 1
Let q = 2386/2845 - 22/569. Factor q*d + 0 - 2/5*d**2 - 6/5*d**3.
-2*d*(d + 1)*(3*d - 2)/5
Let c(a) be the third derivative of -1/180*a**5 + 0*a**3 + 1/360*a**6 + 0*a**4 - 11*a**2 + 0*a + 0. What is r in c(r) = 0?
0, 1
Let t = 14563 + -203787/14. Let n = -37/7 + t. Factor 0 + 3*c**2 - n*c**4 + 3/2*c**3 + 0*c.
-3*c**2*(c - 2)*(c + 1)/2
Let r(k) be the third derivative of k**5/60 - 41*k**4/48 + 5*k**3/3 - 73*k**2. Factor r(y).
(y - 20)*(2*y - 1)/2
Suppose 0 = 9*t - 7*t - 100. Let h = t - 38. Factor -24 - h*n**3 - 48*n - 3/2*n**4 - 36*n**2.
-3*(n + 2)**4/2
Let n(u) = u**4 - u**3 - u**2 + 2*u - 1. Let w be (-2 + 0 + 7)/(5/5). Let g(z) = -z**4 - 6*z**3 - z**2 + 6*z - 2. Let i(f) = w*g(f) - 10*n(f). Factor i(p).
-5*p*(p + 1)**2*(3*p - 2)
Let x be (-6476)/44 + -5 + (-2)/(-11). Let a = -152 - x. Suppose 2/5*b**4 + 0*b**3 + 0 + 0*b + a*b**2 = 0. Calculate b.
0
Let a(r) be the first derivative of -11 + 3/5*r**4 + 8/15*r**3 + 4/25*r**5 + 0*r + 0*r**2. Factor a(o).
4*o**2*(o + 1)*(o + 2)/5
Let f be -6 + 9 + (-217)/(-93). Factor 40*u**3 + 56/3*u**4 + 32*u**2 + f*u + 0 + 3*u**5.
u*(u + 2)**3*(9*u + 2)/3
Let f(s) = s**3 - 3*s**2 + 5*s - 12. Let t be f(3). Find j, given that -j**5 - 60*j**2 + 60*j**2 + 2*j - 3*j + 2*j**t = 0.
-1, 0, 1
Suppose 3*t - 17 = u, 4*u = 1 - 9. Find c, given that -156 + 156 + t*c**2 - 10*c = 0.
0, 2
Let g = 213 + -213. Suppose -p + 3*j + 9 = g, 2*j - 1 = p + 4*j. What is k in -1/4*k**p + 0*k**2 + 0*k + 0 + 1/4*k**4 = 0?
0, 1
Let y(q) be the first derivative of 5*q**3/12 - 319*q**2/8 - 16*q + 375. Factor y(m).
(m - 64)*(5*m + 1)/4
Let x(k) be the third derivative of 0*k**3 - 1/420*k**5 + 1/28*k**4 + 0*k + 33*k**2 + 0. Let x(a) = 0. What is a?
0, 6
Let t = -245 + 242. Let r be (-8)/(-180)*(8 - t - 1). Suppose 4/9*s**2 + 2/9*s**3 - r - 2/9*s = 0. Calculate s.
-2, -1, 1
Suppose -3 = b, 0*k + 2*b = 5*k - 21. Let o be 1/((k/6)