 n(y).
-(y - 7)*(y - 1)*(y + 1)**3/7
Let g(v) = 25*v + 729. Let r be g(-29). Find c such that 11/7*c + 22/7*c**2 + 1/7 - 60/7*c**3 - 72/7*c**r = 0.
-1, -1/6, 1/2
Let p be (1 - -1)/(1/(-4)). Let u(d) = d**2 + 9*d + 12. Let w be u(p). Determine r, given that w*r**2 - 6*r**4 + 3*r**5 - 2*r**2 + 3*r**3 - 2*r**2 = 0.
0, 1
Let s(h) be the first derivative of -h**4/2 - 150*h**3 - 16875*h**2 - 843750*h - 200. Factor s(x).
-2*(x + 75)**3
Let b(y) be the first derivative of 9*y**4/4 - 8*y**3 - 15*y**2/2 + 18*y - 109. Factor b(p).
3*(p - 3)*(p + 1)*(3*p - 2)
Let t be (44/105 + (-16)/56)*3. Let x be (-45)/(-25) + -6 - -5. Factor -6/5*k - x - t*k**2.
-2*(k + 1)*(k + 2)/5
Let v(f) be the first derivative of 5*f**3/3 - 45*f**2 - 185. Factor v(z).
5*z*(z - 18)
Let d(w) be the second derivative of w**9/10584 - w**8/5880 - 17*w**3/6 - 29*w. Let t(o) be the second derivative of d(o). Factor t(n).
2*n**4*(n - 1)/7
Let l(c) be the third derivative of c**7/630 - c**6/72 + 7*c**5/180 - c**4/24 + 185*c**2. Factor l(g).
g*(g - 3)*(g - 1)**2/3
Suppose -3*h**2 + 0 - 18 - h**2 + 2*h**2 + 20*h = 0. What is h?
1, 9
Let q(o) be the third derivative of 0*o - 3/2*o**3 - 1/40*o**6 - 1/4*o**5 - o**2 + 0 - 7/8*o**4. Suppose q(k) = 0. What is k?
-3, -1
Let i(p) be the second derivative of -3/20*p**5 - 6*p - 3/2*p**2 + 0 - 3/2*p**3 - 3/4*p**4. Factor i(m).
-3*(m + 1)**3
Determine a, given that -3/4*a**4 + 0*a + 0 + 33/4*a**2 - 15/2*a**3 = 0.
-11, 0, 1
Let n(j) be the second derivative of -j**7/273 - 8*j**6/195 - j**5/10 - j**4/13 - 177*j. Factor n(f).
-2*f**2*(f + 1)**2*(f + 6)/13
Let a(f) be the third derivative of f**7/7560 - f**6/720 + f**5/180 - f**4/3 + 6*f**2. Let o(w) be the second derivative of a(w). Let o(n) = 0. Calculate n.
1, 2
Let j = 969 + -966. Suppose -9/7*h**2 + 0*h**j + 0 + 6/7*h + 3/7*h**4 = 0. Calculate h.
-2, 0, 1
Let i(r) = -r**3 - r**2 - r + 1. Let d be i(-1). Factor -114*x**2 + 77*x**2 - 18 + 105*x - 110*x**d.
-3*(7*x - 3)*(7*x - 2)
Let h(m) = 2*m**2 + 61*m + 44. Let w(l) = l**2 + 30*l + 23. Let r(q) = 2*h(q) - 5*w(q). Find a such that r(a) = 0.
-27, -1
Let w = -1 - -6. Suppose 0 = -4*x + w - 5. Factor -2/3 + 2/3*r**2 + x*r.
2*(r - 1)*(r + 1)/3
Solve 0 + 2/25*o**4 - 2/25*o**3 - 4/25*o**2 + 0*o = 0.
-1, 0, 2
Let s be -29 - -5 - 4*-1. Let h = s - -40. Solve -18*z**2 + h*z**2 + 5*z**4 + 4*z - 4*z + 7*z**3 = 0.
-1, -2/5, 0
Suppose -5*c = 2*q - 10 - 0, -8 = 3*q - 4*c. Determine s, given that -6/7 - 9/7*s + q*s**2 + 3/7*s**3 = 0.
-1, 2
Factor 35 + 393*v**2 + 33 - 391*v**2 - 70*v.
2*(v - 34)*(v - 1)
Let h(u) = 3 + 3*u**2 - 18*u + 18*u. Let g(z) = -5*z**2 - z - 5. Suppose 0 = 5*v - v - 44. Let j(m) = v*h(m) + 6*g(m). Factor j(d).
3*(d - 1)**2
Let b(d) be the first derivative of -d**4/10 - 14*d**3/15 + 28*d**2/5 - 8*d + 95. Factor b(u).
-2*(u - 2)*(u - 1)*(u + 10)/5
Let x = -4/3 - -10/7. Let w(l) be the first derivative of -4/7*l**2 + 8/7*l + x*l**3 + 3. Factor w(c).
2*(c - 2)**2/7
Let g(i) = -10*i. Let w(m) = 9*m. Let p(s) = 6*g(s) + 7*w(s). Let n be p(0). Factor 0 + 0*t**3 - 2/9*t**2 + 2/9*t**4 + n*t.
2*t**2*(t - 1)*(t + 1)/9
Let u(i) = -i + 19. Let l be u(19). Suppose -5*a = -5*m, l = 2*a + 3*m - 10. Determine k so that 9*k**3 - 8*k**2 - a*k**5 - 9*k**3 + 6*k**4 = 0.
-1, 0, 2
Suppose -5 = -v + 2*o - 3*o, o = 2*v - 19. Find l, given that -11*l**4 - 5*l**4 - 6*l + v + 8*l**2 - 16*l + 4*l**5 + 2*l + 16*l**3 = 0.
-1, 1, 2
Let i = 56263/4 - 14065. Let 9/2 + 0*y**2 + 21/4*y - i*y**3 = 0. What is y?
-2, -1, 3
Let v(y) be the third derivative of y**5/20 - 5*y**4/24 - y**3/3 + 45*y**2. Factor v(p).
(p - 2)*(3*p + 1)
Factor 84*w**5 - 29*w + 82*w**5 - 24*w**3 + 77*w - 6*w**4 - 96 - 163*w**5 + 48*w**2.
3*(w - 2)**3*(w + 2)**2
Let u(n) be the third derivative of -2*n**7/105 - 2*n**6/15 + 11*n**5/15 - n**4 + 2*n**2 + 164*n. Factor u(y).
-4*y*(y - 1)**2*(y + 6)
Let g = -9244/495 + 1076/55. Factor 0 - 2/9*f**2 + g*f.
-2*f*(f - 4)/9
Let a(u) be the second derivative of -u**9/45360 + u**8/1680 - u**7/210 + 4*u**4/3 - 22*u. Let p(r) be the third derivative of a(r). Factor p(i).
-i**2*(i - 6)**2/3
Let b(k) be the second derivative of k**7/210 + k**6/60 + k**5/60 - k**2/2 + 11*k. Let d(a) be the first derivative of b(a). Factor d(g).
g**2*(g + 1)**2
Let w(g) be the first derivative of -4/5*g**5 - 10 + 0*g + 1/2*g**4 - g**2 + 4/3*g**3. Factor w(m).
-2*m*(m - 1)*(m + 1)*(2*m - 1)
Let n(h) be the second derivative of -h**6/10 + 11*h**4/4 + 9*h**3 + 12*h**2 + 18*h. Determine y so that n(y) = 0.
-2, -1, 4
Let d(r) = -r**3 + 6*r**2 + 2. Let z be d(6). Find n, given that -3*n**2 + 5*n**2 - 5*n**2 + 5*n**z - 4*n = 0.
0, 2
Let p = -9244 - -9246. Suppose 20/21*d + 50/21 + 2/21*d**p = 0. Calculate d.
-5
Let a be 6/21 - (-45)/(-378). Let c(j) be the first derivative of 0*j - a*j**3 + 0*j**2 - 4 - 1/8*j**4. Suppose c(h) = 0. What is h?
-1, 0
Let g = -8039295 - -5989275684/745. Let a = -3/149 + g. Find d, given that 3/5*d**2 - 9/5*d + a = 0.
1, 2
Let x = 1110 + -7754/7. Solve -x*w + 32/7*w**2 + 2/7 = 0.
1/4
Suppose 0 = 2*f - 5 + 1. Factor -1 + 8*x**3 + 4*x**3 + 26*x**f + 26*x + 2*x**4 - 2*x + 9.
2*(x + 1)**2*(x + 2)**2
Let f = 2092/2368695 - 3/9289. Let g(u) be the third derivative of 0*u + 0 - 1/102*u**4 + 1/51*u**3 + 0*u**5 + 6*u**2 - f*u**7 + 1/510*u**6. Solve g(v) = 0.
-1, 1
Let a(p) be the second derivative of p**6/30 - p**5/5 + 5*p**4/12 - p**3/3 - 54*p + 1. Solve a(y) = 0.
0, 1, 2
Let c = -142 - -156. Let p = c - 12. What is l in 2/17*l**3 - 2/17*l + 4/17 - 4/17*l**p = 0?
-1, 1, 2
Let x = -394 - -394. Let q(b) be the first derivative of 9 - 4/3*b**3 + x*b**2 + 4*b. Factor q(a).
-4*(a - 1)*(a + 1)
Let n(d) = -d**2 + 15*d + 8. Let t be n(7). Let l be t/28 + 10/(-35). Suppose -1 - l*h**2 - 5/2*h - 1/2*h**3 = 0. What is h?
-2, -1
Let g be 3*5*26/78. Let s(a) be the third derivative of 0*a**g + 0 + 0*a - 3*a**2 - 1/420*a**6 - 2/21*a**3 + 1/28*a**4. Suppose s(t) = 0. What is t?
-2, 1
Let j(c) = 135*c - 20923. Let v be j(155). Let k = 183/235 + 1/47. Factor 6/5*m**3 + 0 + 0*m + 2/5*m**v + k*m**4.
2*m**2*(m + 1)*(2*m + 1)/5
Let 712/3*c - 4/3*c**2 - 31684/3 = 0. Calculate c.
89
Let k(f) be the second derivative of -3*f**5/40 + f**3/4 + 5*f + 28. Solve k(v) = 0.
-1, 0, 1
Let j(f) be the first derivative of -f**5/20 - f**4/6 + f**3/2 + 27*f - 19. Let i(o) be the first derivative of j(o). Factor i(y).
-y*(y - 1)*(y + 3)
Let a(w) be the third derivative of -w**10/1360800 - w**9/181440 - 13*w**5/60 + 28*w**2. Let p(r) be the third derivative of a(r). Factor p(f).
-f**3*(f + 3)/9
Let j = 1971 + -650429/330. Let y(c) be the third derivative of 6*c**2 - j*c**5 + 0 + 0*c**4 + 4/33*c**3 + 0*c. Let y(d) = 0. What is d?
-2, 2
Determine t so that -40*t**2 + 24*t - 18/5 = 0.
3/10
Let r = -16 - -41. Let d = r - 23. Factor 1/3*i**d - 1/3 - 1/3*i**3 + 1/3*i.
-(i - 1)**2*(i + 1)/3
Let g be (48 - 34)/(-70) - 11/(-5). Suppose -7/3 + 1/3*f**2 - g*f = 0. What is f?
-1, 7
Let j(k) be the third derivative of 1/80*k**5 + 0*k + 0*k**4 + 0*k**3 + 0 - 4*k**2. Factor j(h).
3*h**2/4
Let h = -72/53 + 519/265. Suppose -1/5*x**3 + 0 + 0*x + h*x**2 = 0. What is x?
0, 3
Let i(s) = s**2 - 12*s + 11. Let r(y) = -4*y**2 + 47*y - 43. Let t(z) = -26*i(z) - 6*r(z). Factor t(v).
-2*(v - 14)*(v - 1)
Let r be 450/5 - -4 - 2. Let c be (r/(-16) + 6)*(-8)/(-10). Solve 1/5*z + 0 + 2/5*z**2 + c*z**3 = 0 for z.
-1, 0
Solve 4*x**3 + x**4 + 5409 + 3*x**2 - 5409 = 0 for x.
-3, -1, 0
Let g(a) be the first derivative of -15 - 2*a**6 + 4/3*a**2 + 44/15*a**5 + 7/3*a**4 - 44/9*a**3 + 0*a. Let g(q) = 0. Calculate q.
-1, 0, 2/9, 1
Let v(y) be the third derivative of -y**6/10 + 9*y**5/20 - 3*y**4/4 + y**3/2 - 19*y**2 - 2. Factor v(j).
-3*(j - 1)**2*(4*j - 1)
Let d(j) be the first derivative of 27*j**6/2 - 288*j**5/5 + 46*j**4 + 128*j**3/3 + 8*j**2 + 52. Let d(u) = 0. What is u?
-2/9, 0, 2
Factor -1/3*x**4 + 0 + 1/3*x + 1/3*x**2 - 1/3*x**3.
-x*(x - 1)*(x + 1)**2/3
Let k(s) = -8*s - 6. Let z be k(-1). Let t = 56 - 56. Factor 0 - 3/4*d**3 + 1/4*d**5 + t*d**4 - 1/2*d**z + 0*d.
d**2*(d - 2)*(d + 1)**2/4
Let c(d) = 5*d**4 + 22*d**3 + 6*d**2 - 7*d + 7. Let i(v) = v**4 + 2*v**3 + 2*v**2 - v + 1. Let s(n) = 2*c(n) - 14*i(n). Determine a so that s(a) = 0.
0, 2
Let y(a) be the third derivative of -9*a**2 - 1/10*a**6 + 0 + 1/84*a**8 + 0*a - 2/105*a**7 + 0*a**3 + 1/3