*3 - 6*g**4 + 150*g**2 + 17*g**4 - 45*g - 12*g**3 = 0. What is g?
-3, 0, 1/4
Let z(o) = -23*o**2 + 43*o - 8. Let t(c) = 11*c**2 - 21*c + 4. Suppose 5*y + 35 - 10 = -2*n, 2*y - 19 = 5*n. Let k(i) = y*z(i) - 7*t(i). Factor k(b).
-2*(b - 2)*(4*b - 1)
Factor -279*j + 14580*j**2 - 4 + 9 - 176*j - 85*j.
5*(54*j - 1)**2
Suppose -5*m + 2*m = -9. Suppose -y - 4*c + 1 = m, 6 = 5*y + 4*c. Factor 0 + 10/7*k**y - 6/7*k**3 - 2/7*k**4 + 2/7*k**5 - 4/7*k.
2*k*(k - 1)**3*(k + 2)/7
Suppose -4/5*p**4 - 66/5*p + 16/5*p**2 - 2/5*p**5 + 36/5 + 4*p**3 = 0. What is p?
-3, 1, 2
Suppose -30/7*n - 36/7 - 2/7*n**4 + 2*n**2 + 6/7*n**3 = 0. What is n?
-2, -1, 3
Let f(q) be the first derivative of -4*q**5/5 - 11*q**4 + 52*q**3 - 82*q**2 + 56*q + 232. Factor f(a).
-4*(a - 1)**3*(a + 14)
Let z = -626/7 + 3791/42. Factor 1/2 - 1/6*h**3 + z*h**2 - 7/6*h.
-(h - 3)*(h - 1)**2/6
Let o be ((-1 + 9 - 2) + -7)*-2. Factor -8 + 4*f - 1/2*f**o.
-(f - 4)**2/2
Let i = 876/5 - 7007/40. Let g(y) be the third derivative of 0 - i*y**4 - 1/300*y**5 + 11*y**2 - 1/15*y**3 + 0*y. Factor g(w).
-(w + 1)*(w + 2)/5
Let h = -973 - -976. Let q(n) be the first derivative of -48*n - 6*n**2 - 33/16*n**4 + 9*n**h + 3/20*n**5 + 10. Suppose q(k) = 0. Calculate k.
-1, 4
Let i = -1/22 - -139/154. Factor i*b - 2/7*b**3 + 0*b**2 + 4/7.
-2*(b - 2)*(b + 1)**2/7
Let x be 0*(11/55 - 3/(-10)). Let p(g) be the third derivative of -1/90*g**5 + 1/18*g**4 + 1/9*g**3 + 0 - g**2 + x*g - 1/90*g**6. Factor p(d).
-2*(d - 1)*(d + 1)*(2*d + 1)/3
Suppose -19 = w - 21. Let 0*c**5 + 16*c**3 + 4*c**4 - w*c**5 - 18*c**3 = 0. Calculate c.
0, 1
Let f(x) be the third derivative of -5/84*x**4 + 0*x + 3/14*x**3 + 22*x**2 + 0 + 1/420*x**5. Solve f(k) = 0 for k.
1, 9
Let k = -46 - -64. Suppose b - 4 = 2*t, -4*b - 2 = -k. Factor -1/2*x**3 + t*x**2 + 0 + 0*x + 1/4*x**4.
x**3*(x - 2)/4
Let b = -41 + 58. Find p, given that 56*p**3 - b*p**4 - 7*p**4 - 64*p**2 + 217 + 36*p + 4*p**5 - 225 = 0.
1, 2
Let h = -2741/120 + 183/8. Let d(n) be the second derivative of -h*n**6 + 2/3*n**3 - 1/2*n**4 - 1/2*n**2 + 1/5*n**5 + 11*n + 0. Factor d(k).
-(k - 1)**4
Suppose 464 = -3*l - 5*d + 29, 5*l + 688 = 4*d. Let j be l/(-16) + -7 + (-1)/4. Find c such that j*c - 1/2 + 1/2*c**3 - 3/2*c**2 = 0.
1
Suppose 21*c = 17*c + 8. Solve -38*h**2 - 30*h**c + 8*h + 8*h**2 = 0.
0, 2/15
Let n = -124 - -127. Let q(j) be the third derivative of -3/5*j**5 + 0*j + 1/2*j**n + 3*j**2 - 7/20*j**6 - 1/14*j**7 + 0 - 1/4*j**4. Find f such that q(f) = 0.
-1, 1/5
Factor 0 + 2/9*f - 8/9*f**3 - 2/3*f**2.
-2*f*(f + 1)*(4*f - 1)/9
Let k(b) be the first derivative of 5*b**4/14 - 2*b**3/21 - 5*b**2/7 + 2*b/7 - 154. Let k(h) = 0. Calculate h.
-1, 1/5, 1
Let h(w) = -w**3 - 79*w**2 + w + 77. Let f(o) = -o**3 + 3*o**2 + o - 1. Let m(p) = -f(p) - h(p). Factor m(k).
2*(k - 1)*(k + 1)*(k + 38)
Let v(k) be the third derivative of k**5/15 + 2*k**4/3 + 2*k**3 + 126*k**2. Factor v(s).
4*(s + 1)*(s + 3)
Determine d, given that 13*d + 48 - 36*d + 15*d - 4*d**2 + 12*d = 0.
-3, 4
Let o(q) be the third derivative of q**8/2016 + q**7/15 + 49*q**6/15 + 2744*q**5/45 + 149*q**2. Suppose o(r) = 0. What is r?
-28, 0
Suppose 0 = -718*c + 904*c - 372. Suppose -4/13*j**c - 2/13*j**3 + 4/13 + 2/13*j = 0. What is j?
-2, -1, 1
Let y(a) be the first derivative of 0*a**5 + 1/600*a**6 + 0*a + 11 - 4/3*a**3 + 0*a**4 + 0*a**2. Let g(x) be the third derivative of y(x). Factor g(i).
3*i**2/5
Let x(v) be the third derivative of -v**6/60 - 2*v**5/15 - v**4/12 + 2*v**3 - 91*v**2. Let x(n) = 0. Calculate n.
-3, -2, 1
Let u(a) be the third derivative of a**7/1995 - a**6/95 + a**5/19 - 7*a**4/57 + 3*a**3/19 - 15*a**2 - a. Factor u(m).
2*(m - 9)*(m - 1)**3/19
Let u be (1136/(-240))/((-2)/6). Let w = u + -137/10. Suppose -w*c + 0*c**4 + c**3 + 0*c**2 - 1/2*c**5 + 0 = 0. What is c?
-1, 0, 1
Let s(g) = g**2 - 7*g + 4. Let i be (-4 - -1 - -8) + 2. Let y be s(i). Suppose 10*q - 10*q**3 + 9*q**2 - 8*q**4 - y - 7*q**4 + q**4 + 9*q**2 = 0. Calculate q.
-1, 2/7, 1
Let f(l) = -2*l**4 + l**3 + l**2 - l - 1. Let o(q) = -27*q**4 + 41*q**3 + 46*q**2 - 41*q - 21. Let p(d) = f(d) - o(d). Suppose p(c) = 0. What is c?
-1, -2/5, 1, 2
Let y be (-100)/(-180)*(-2 - 46/(-20)). Let f(v) be the second derivative of -y*v**3 + 1/20*v**5 - 1/2*v**2 + v + 1/12*v**4 + 0. Factor f(q).
(q - 1)*(q + 1)**2
Let t(x) be the third derivative of -x**5/30 + x**4/2 - 3*x**3 - 13*x**2 - 2. Factor t(f).
-2*(f - 3)**2
Let k(h) = h**3 + 6*h**2 + 7*h - 1. Let b be k(-5). Let z(g) = -g**2 - 12*g - 5. Let y be z(b). Factor -4*q - 2*q**2 + 4 + 3*q + 5*q - y*q.
-2*(q - 1)*(q + 2)
Let c(h) be the second derivative of 0 - 1/90*h**6 - 1/4*h**4 + 17*h - 1/3*h**2 + 1/12*h**5 + 7/18*h**3. Determine d, given that c(d) = 0.
1, 2
Let h = 8/3445 - -1395209/6890. Find c such that h - 45*c + 5/2*c**2 = 0.
9
Let b(c) = -3*c**2 - 7*c + 15. Let q be b(-10). Let s be q/45 + 5 + 44/45. Find x, given that -2/5*x**2 + 2*x - s - 2/5*x**3 = 0.
-3, 1
Let d(s) = 3*s**3 - 42*s**2 - 517*s - 1444. Let p(n) = 4*n**3 - 42*n**2 - 518*n - 1444. Let l(t) = -5*d(t) + 4*p(t). Let l(w) = 0. Calculate w.
-19, -4
Let m(q) be the third derivative of 0 + 9*q**2 + 1/3*q**4 - 3/11*q**5 + 0*q - 9/385*q**7 - 8/33*q**3 + 27/220*q**6. Factor m(c).
-2*(c - 1)*(3*c - 2)**3/11
Let a(b) be the second derivative of b**9/15120 + b**8/2240 + b**7/840 + b**6/720 + 11*b**4/12 - 26*b. Let c(f) be the third derivative of a(f). Solve c(h) = 0.
-1, 0
Let h = 5/11 - 4/33. Let w(m) be the first derivative of -5 - h*m**3 - 1/2*m**2 - 1/3*m - 1/12*m**4. Solve w(d) = 0 for d.
-1
Suppose x + 0*g = -3*g - 12, 0 = 4*g - 16. Let w be (-36)/x*266/15. What is h in 8/5*h - 52/5*h**2 + 0 - 147/5*h**5 + 58/5*h**3 + w*h**4 = 0?
-2/3, 0, 2/7, 1
Let i(l) be the third derivative of l**5/12 + 10*l**4/3 + 25*l**3/2 + 52*l**2. Suppose i(n) = 0. What is n?
-15, -1
Let t(l) be the second derivative of -l**7/630 + l**5/30 + l**4/4 + 11*l. Let q(n) be the third derivative of t(n). Solve q(i) = 0.
-1, 1
Suppose 0*f = 4*f - l - 12, 2*f + 3*l = -8. Factor -41*j**3 - 50*j**f - 160 + 36*j**3 - 106*j - 54*j.
-5*(j + 2)*(j + 4)**2
Let r be (25/60)/((-530)/(-1696)). Factor -2/9*k**2 + r*k - 10/9.
-2*(k - 5)*(k - 1)/9
Let g be 0/2 - (-240)/8. Suppose -4*m - g = -98. Determine i so that -m - 6*i + 17 + 2*i**2 = 0.
0, 3
Let x(t) be the third derivative of -t**6/420 - 31*t**5/105 + 127*t**4/84 - 64*t**3/21 - 17*t**2 - 6*t. Factor x(f).
-2*(f - 1)**2*(f + 64)/7
Let o(j) = -4*j**3 - 4*j**2 - 8*j + 4. Let p(m) = -10*m**3 - 9*m**2 - 16*m + 9. Let i(u) = 13*o(u) - 6*p(u). Find l such that i(l) = 0.
-1, -1/4, 1
Suppose -4*a + 3*m + 35 + 5 = 0, m - 24 = -4*a. Suppose a*b + 6 = 10*b. Factor 0 + 2*j**b + 6*j**3 + 0*j - 7/2*j**4.
-j**2*(j - 2)*(7*j + 2)/2
Let t = 2 - -1. Suppose 2*a**2 - 2*a**4 - a**5 + 2*a**3 + 0*a**3 + t*a**3 - 4*a**3 = 0. Calculate a.
-2, -1, 0, 1
Let b be 3*(-3 + 2) + 10. Suppose -b*k - 7 + 28 = 0. Factor -2/7*o**4 + 0*o + 4/7*o**k + 0 - 2/7*o**2.
-2*o**2*(o - 1)**2/7
Suppose 5*o + 2*n + 25 = 70, 2*o + 2*n = 24. Let r be (7 - 16/4)/o. Factor -r + 3/7*d**3 - 9/7*d**2 + 9/7*d.
3*(d - 1)**3/7
Let b(m) = -115*m**2 - 300*m + 275. Let r(i) = -10*i**2 - 25*i + 23. Let c(x) = -3*b(x) + 35*r(x). Suppose c(v) = 0. What is v?
1, 4
Let y(u) = -5*u**2 + 28*u + 116. Let f(h) = 2*h**2 + h + 0 - 10*h - 11 - 28. Let n(b) = 8*f(b) + 3*y(b). Let n(g) = 0. Calculate g.
-6
Suppose 0 = -5*c - 4*i + 16, -6*i - 14 = -3*c - 4*i. Factor 10*f**3 - f**2 - 13*f**3 - f**2 - 3*f**c + 5*f**2 + 3*f**5.
3*f**2*(f - 1)**2*(f + 1)
Factor 1/6*u**3 + 3/2*u**2 + 5/2 + 23/6*u.
(u + 1)*(u + 3)*(u + 5)/6
Let u = -88 - -134. Factor -36*w + 102 - u + 3*w**2 - w**2 + 106.
2*(w - 9)**2
Let o(a) be the second derivative of -15*a - 23/3*a**4 + 18*a**2 + 32/15*a**6 + 0 - 4*a**3 + 8/5*a**5. Factor o(n).
4*(n + 1)**2*(4*n - 3)**2
Let q = 549181/270 - 2034. Let b(s) be the third derivative of 0*s + q*s**5 + 3*s**2 + 0*s**4 - 1/27*s**3 + 0. Factor b(a).
2*(a - 1)*(a + 1)/9
Find r such that 6*r + 7951*r**2 - r + 6 - 7950*r**2 = 0.
-3, -2
Let y = -2 + 3. Let o(j) = 1 - y - 2*j**2 + 2*j + 3. Let s(u) = 5*u**2 - 6*u - 8. Let r(t) = -8*o(t) - 3*s(t). Solve r(a) = 0.
-2, 0
Suppose -1/3*i**2 + 54 - 79/3*i = 0. Calculate i.
-81, 2
Let z(j) be the first derivative of 2*j**3/27 - 10*j**2/9 - 82. Factor z(i).
2*i*(i - 10