 + 3*g + 12 = 0. Let y = 22 + -20. Solve v*u**2 + 0*u + 4*u + 2*u**y = 0.
-2, 0
Let g(x) = -x - 1. Let y be g(-3). Suppose y*i = 5*s - 70, 37 = 2*s + i - 0*i. Find h, given that -110 - 20*h**3 + 118 + s*h**2 - 28*h + 4*h**4 + 20*h**2 = 0.
1, 2
Let k = 1729 - 1727. Factor -2/13*x**4 + 0*x - 4/13*x**k + 0 - 6/13*x**3.
-2*x**2*(x + 1)*(x + 2)/13
Suppose 63 = -12*g + 303. Solve -45*w + 7 + 46*w**2 + g - 34*w**2 = 0 for w.
3/4, 3
Let j = 49/118 - -5/59. Factor -1/4*v - 1/4*v**2 + j.
-(v - 1)*(v + 2)/4
Let r(f) = -360*f + 7564. Let g be r(21). Determine q so that 10/3*q**2 - 5*q**3 + 0*q + 0 + 5/3*q**g = 0.
0, 1, 2
Determine j so that 11/5*j + 0 - 2/5*j**2 = 0.
0, 11/2
Let o(y) be the third derivative of y**7/350 - 11*y**6/300 - 13*y**5/75 + 17*y**4/5 + 48*y**3/5 - 642*y**2. Determine n, given that o(n) = 0.
-4, -2/3, 6
Let o(s) be the first derivative of -2*s**3/51 - 7*s**2/17 - 24*s/17 - 73. What is r in o(r) = 0?
-4, -3
Let x = -56 - -86. Factor -3 - 22*z**3 + 9*z + x*z**3 - 20*z**3.
-3*(z + 1)*(2*z - 1)**2
Suppose -5*u + u = -2*d + 10, -3*d = -15. Let j(c) be the second derivative of 5*c + 1/4*c**2 + u - 1/24*c**4 + 0*c**3. Factor j(o).
-(o - 1)*(o + 1)/2
Let s(y) = y - 2. Let o be s(4). Let w be 0*(-3)/9 + o. Determine z, given that -2*z**w + 2*z**4 + 0*z**4 + 3*z**3 + 6*z + 0*z**4 - 9*z**3 = 0.
-1, 0, 1, 3
Let q(v) be the third derivative of -v**8/2240 - v**7/210 - v**6/48 - v**5/20 + 13*v**4/8 + 4*v**2. Let l(r) be the second derivative of q(r). Solve l(i) = 0.
-2, -1
Suppose 2*k = -3*i + 4*i - 2, 5*k = -2*i - 5. Let z be ((0/(-1))/k)/(-101 + 102). Suppose -12/7*c**3 + 8/7*c**2 + 0 + 4/7*c**4 + z*c = 0. What is c?
0, 1, 2
Let h be -12 - (243/2)/(-9). Factor 0 + 1/2*x**3 + h*x**2 + x.
x*(x + 1)*(x + 2)/2
Let s(h) be the third derivative of -1/330*h**5 - 1/44*h**4 - 2/33*h**3 + 0 - 12*h**2 + 0*h. Factor s(l).
-2*(l + 1)*(l + 2)/11
Let g(y) = -y**4 - y**3 + y + 2. Let t(i) = -10*i**4 + 55*i**3 + 360*i**2 + 825*i + 705. Let r(m) = 15*g(m) - t(m). What is d in r(d) = 0?
-5, -3
Let j(b) be the first derivative of 1/12*b**2 - 7 + 0*b - 1/9*b**3 + 1/24*b**4. Let j(g) = 0. Calculate g.
0, 1
Let y(b) = 3*b**5 - 7*b**4 + 4*b. Let i(n) = -6*n**5 + 13*n**4 - 7*n. Let h(o) = 4*i(o) + 7*y(o). Suppose h(r) = 0. Calculate r.
0, 1
Let x(k) be the third derivative of -k**8/9072 - k**7/5670 - k**5/60 + 24*k**2. Let b(d) be the third derivative of x(d). Suppose b(o) = 0. Calculate o.
-2/5, 0
Suppose u = 3*u. Suppose -5*q = -n - 28, n = -3*q - u*n + 12. Factor 2*j**5 - 4*j**4 + 4*j**3 - q*j**4 + j**5 - 3*j**2 + 5*j**3.
3*j**2*(j - 1)**3
Suppose -8*t - 8 = -12*t. Find w such that -5*w**3 + 20 - 10*w + 17*w + 5*w**5 + 15*w**4 - 35*w**t - 7*w = 0.
-2, -1, 1
Let f be 32/(-10)*(-1)/12. Let k(a) be the second derivative of 0 + 0*a**3 + 3*a + 1/21*a**7 + f*a**6 + 0*a**2 + 0*a**4 + 2/5*a**5. Factor k(r).
2*r**3*(r + 2)**2
Determine b, given that -2/3*b**2 - 8 + 16/3*b = 0.
2, 6
Let k(r) be the second derivative of r**5/120 + r**4/8 + 3*r**3/4 + 10*r**2 - 21*r. Let u(i) be the first derivative of k(i). Suppose u(t) = 0. Calculate t.
-3
Suppose 5 = -x + 5. Suppose 8 = -5*z + 4*h, -z + 4*h + 0 = 8. Suppose x + 1/2*q**2 + z*q = 0. Calculate q.
0
Factor 14/5*k**3 + 0 - 1/5*k**4 + 22/5*k - 7*k**2.
-k*(k - 11)*(k - 2)*(k - 1)/5
Let n = 0 - 1. Let v(j) = -6*j - 3. Let g be v(n). Determine b, given that b - 8 - 5*b**3 + b**g + 3*b - 8*b**2 + 16 = 0.
-2, -1, 1
Let w(v) be the second derivative of -13*v**4/16 - 3*v**3/4 + 5*v + 5. Let w(s) = 0. What is s?
-6/13, 0
Let q be 4/22 - 815/(-55). Suppose 5*z - q = 5*d, 0*z + 4*z + 3*d - 12 = 0. Find x such that -28*x**3 + 7*x + 2 + x**2 + 25*x**z + x**2 = 0.
-1, -1/3, 2
Let i be (1/2)/(2/12). Let c(s) be the third derivative of -i*s**2 - 1/40*s**6 + 0*s**3 + 1/2*s**4 + 3/5*s**5 + 0 - 3/14*s**7 + 0*s. What is a in c(a) = 0?
-2/3, -2/5, 0, 1
Let f(j) be the third derivative of 0*j**5 - 1/200*j**6 + 0*j + 19*j**2 + 0*j**4 + 0*j**3 - 1/350*j**7 + 0. Solve f(d) = 0 for d.
-1, 0
Let f(b) be the second derivative of 0 + 6/5*b**5 + 0*b**2 - 4/3*b**4 - 8/15*b**6 + 2/21*b**7 + 2/3*b**3 - 22*b. Solve f(r) = 0 for r.
0, 1
Let o(h) be the third derivative of h**5/20 + 7*h**4/4 - 240*h**2. Factor o(c).
3*c*(c + 14)
Let d(a) = a**5 + 2*a**4 - 10*a**3 - 8*a**2 + 6. Let o(k) = -2*k**3 + 2. Let n(z) = -2*d(z) + 6*o(z). Factor n(h).
-2*h**2*(h - 2)*(h + 2)**2
Factor 102/11 - 2/11*h**2 + 28/11*h.
-2*(h - 17)*(h + 3)/11
Let x(f) = 13*f**2 + 12*f - 29. Let t(z) = 180*z**2 + 170*z - 405. Let c(g) = 4*t(g) - 55*x(g). Factor c(u).
5*(u - 1)*(u + 5)
Suppose -2*r = -3*r + 5. Factor 14*g**2 + r - 12*g**2 - 7.
2*(g - 1)*(g + 1)
Let n be (45/(-25))/(6/(-20)). Let o be 0 + 2 + -3 + n. What is s in -s**3 - 15*s + 35*s**4 + 9*s**5 - o*s**4 + 31*s**3 - 1 - 5 = 0?
-1, 2/3
Let n(w) be the third derivative of 9*w**7/350 - 249*w**6/100 + 7213*w**5/100 - 2241*w**4/10 + 1458*w**3/5 - 133*w**2. Let n(f) = 0. Calculate f.
2/3, 27
Let h(i) be the first derivative of 0*i + 1/15*i**5 - 1/6*i**2 + 1/3*i**3 + 1 - 1/4*i**4. Determine w, given that h(w) = 0.
0, 1
Let g(p) = 18*p - 234. Let d be g(13). Let j be 6 + 6*(-3)/6. Solve d - x**2 + 1/2*x**j + 1/2*x = 0.
0, 1
Let u(t) be the third derivative of t**6/90 - 22*t**5/9 + 3025*t**4/18 + 101*t**2. What is k in u(k) = 0?
0, 55
Let i(c) be the first derivative of 26*c**2 - 8*c + 20 - 44/3*c**3. Factor i(s).
-4*(s - 1)*(11*s - 2)
Let h(b) = 3*b**2 - 2*b - 13. Let s be h(-3). Suppose s = -0*y + 10*y. Determine i, given that 1/2*i**3 + 0*i**y + 0 + 0*i + 1/4*i**4 = 0.
-2, 0
Let x(g) be the second derivative of -g**4/30 + 2*g**3/5 - g**2 + 175*g. Factor x(o).
-2*(o - 5)*(o - 1)/5
Let p be ((-1270)/(-330) - 2/(-6)) + -4. Let m(i) be the first derivative of -2 + p*i**3 + 8/11*i**2 + 8/11*i. Suppose m(a) = 0. What is a?
-2, -2/3
Let a(c) be the second derivative of 2/15*c**6 - 6*c - 4*c**2 + 1/3*c**4 + 3/5*c**5 - 2*c**3 + 0. Let a(h) = 0. Calculate h.
-2, -1, 1
Let m(y) = y**2 - 7*y + 9. Let p be m(6). Factor -9*n**2 - 24*n - 10 - 3 - 1 + 2 + 6*n**p + 3*n**4.
3*(n - 2)*(n + 1)**2*(n + 2)
Let l(d) be the third derivative of -d**8/168 - d**7/105 + d**6/30 + d**5/15 - d**4/12 - d**3/3 + 697*d**2. Factor l(i).
-2*(i - 1)**2*(i + 1)**3
Factor 87/2*l**2 - 3/2*l**3 - 675/2 - 585/2*l.
-3*(l - 15)**2*(l + 1)/2
Let c(b) = b**5 + 30*b**4. Let d(q) = -3*q**5 - 92*q**4. Let s(v) = 14*c(v) + 4*d(v). Factor s(g).
2*g**4*(g + 26)
Let l(t) be the first derivative of -2*t**6/15 + 4*t**5/5 - 9*t**4/5 + 28*t**3/15 - 4*t**2/5 - 56. Factor l(z).
-4*z*(z - 2)*(z - 1)**3/5
Let x(a) be the second derivative of -31*a**5/42 - 22*a**4/9 - 151*a**3/63 + 2*a**2/21 + 4*a + 28. Determine d so that x(d) = 0.
-1, 2/155
Suppose 41*d - 242 = -15*d - 130. Factor 0 + 1/2*v**4 + 5/2*v**d - 2*v**3 - v.
v*(v - 2)*(v - 1)**2/2
Let y(n) be the third derivative of 0 + 0*n - 1/540*n**5 + 1/27*n**3 - 1/216*n**4 + 2*n**2. Find c such that y(c) = 0.
-2, 1
Let x(v) be the first derivative of -v**4/20 - 2*v**3/15 + 3*v**2/10 + 388. Factor x(a).
-a*(a - 1)*(a + 3)/5
Let x(q) = -q**2 - 6*q - 1. Let w be x(-5). Solve 746*j - 6*j**3 - 13720 - 210*j**2 + 15*j**3 + 2194*j - w*j**3 = 0.
14
Find d, given that 0*d**2 + 0 + 1/2*d**3 + 1/2*d**5 + 0*d - d**4 = 0.
0, 1
Suppose -4/7*q**3 + 68/7*q**2 + 76/7 + 148/7*q = 0. Calculate q.
-1, 19
Let q be ((-540)/45)/(-5*4). Factor -9/5*g - q*g**2 - 6/5.
-3*(g + 1)*(g + 2)/5
Let h(u) be the third derivative of -u**7/525 - u**6/60 - 3*u**5/50 - 7*u**4/60 - 2*u**3/15 - 97*u**2. Factor h(r).
-2*(r + 1)**3*(r + 2)/5
Let x be 2/(84/(-98) + (-543)/(-903)) + 8. Let -6/11*k**2 + x*k + 0 = 0. Calculate k.
0, 1/3
Factor 1250/11 + 1350/11*s + 102/11*s**2 + 2/11*s**3.
2*(s + 1)*(s + 25)**2/11
Let j = -22 - -25. Solve 1 + 5*t**5 - t**2 + t**4 - j*t**5 + 2*t - 4*t**2 - 4*t**3 + 3*t**2 = 0.
-1, -1/2, 1
Factor 7*t**2 - 50/3*t - 1/2*t**3 + 12 - 1/6*t**4.
-(t - 2)**3*(t + 9)/6
Suppose 2*x = x. Let p = 4 + x. Factor -10*c - 3*c**2 - 3*c**2 - c**p - 6*c**3 - 6*c**2 - 3.
-(c + 1)**3*(c + 3)
Let c(r) be the second derivative of 1/483*r**7 + 0*r**3 + 0 + 0*r**2 + 0*r**4 + 4/345*r**6 + 2/115*r**5 + 29*r. Factor c(p).
2*p**3*(p + 2)**2/23
Let d(m) = -8*m**2 + 6*m**2 + 5*m + m**2 + 10. Let u be d(6). Factor 0 + 2*b**3 + 1/2*b + 7/4*b**2 + 3/4*b**u.
b*(b + 1)**2*(3*b + 2)/4
Solve 92/3