- 1)*(a + 1)
Let y(a) be the third derivative of -a**5/40 + 5*a**4/16 - 3*a**3/2 + 2*a**2 + 4*a. Solve y(d) = 0 for d.
2, 3
Let r be (-37)/(-10) - (-102)/(-85). Factor -2*g**3 + 1/2*g**4 + 0 + r*g**2 - g.
g*(g - 2)*(g - 1)**2/2
Suppose 286*z = 298*z - 36. Solve -2/5*m**z - 4/15 + 16/15*m**2 - 2/5*m = 0.
-1/3, 1, 2
Let c(o) = -o - 1. Let f(t) = -t**2 - 4*t - 5. Let l(y) = -4*c(y) + f(y). Let u(a) = -7*a**2 - 3*a - 8. Let j(z) = 6*l(z) - u(z). Factor j(i).
(i + 1)*(i + 2)
What is n in -6/7*n + 8/7*n**2 - 2/7*n**3 + 0 = 0?
0, 1, 3
Let t = -28 - -30. Let i be -3*t/(-54)*2. Let -i - 2/9*o**2 - 4/9*o = 0. What is o?
-1
Suppose -59*o + 3*o + 168 = 0. Let q(x) be the third derivative of 0*x + 0*x**o + 1/20*x**5 - 3/8*x**4 + x**2 + 0. Find b such that q(b) = 0.
0, 3
Let l(f) be the third derivative of -f**7/168 - f**6/48 - f**5/48 - f**2 - 91*f. Factor l(t).
-5*t**2*(t + 1)**2/4
Let x(k) be the second derivative of k**9/4536 + k**8/840 + k**7/630 + 13*k**3/2 - 3*k. Let n(r) be the second derivative of x(r). Solve n(t) = 0.
-2, -1, 0
Suppose 3*q + 22 = 5*g, -2*q = 3*g - 19 + 21. Let b(p) be the first derivative of 0*p - 4/3*p**3 - 4*p**2 + 4/5*p**5 + g*p**4 - 10. Factor b(h).
4*h*(h - 1)*(h + 1)*(h + 2)
Let h(k) be the third derivative of 0 + 14*k**2 + 5/66*k**4 - 8/33*k**3 + 1/110*k**5 + 0*k. Solve h(y) = 0 for y.
-4, 2/3
Let x(h) be the second derivative of -3*h**5/4 + 185*h**4/18 - 400*h**3/9 + 80*h**2/3 - 10*h. Find u such that x(u) = 0.
2/9, 4
Let d = 6 - 1. Suppose -f - 3*f = -2*c + 12, 2*c = 2*f + 10. Determine x, given that c*x**2 - x - d - 3*x + 1 - 5*x**2 = 0.
-2
Suppose -6*f + 2*f = z - 25, -f = -15*z + 70. Determine d, given that f + 115/2*d**3 + 135/2*d**2 + 65/2*d + 35/2*d**4 = 0.
-1, -2/7
Suppose -2*d + 3 = 5*u - 20, -u - 17 = -5*d. Let m be -2 - d/(-8)*10. Factor 2/13*r + 18/13*r**m + 4/13*r**5 - 14/13*r**4 + 0 - 10/13*r**2.
2*r*(r - 1)**3*(2*r - 1)/13
Let j(y) = y**3 + 2*y**2 + y - 1. Let r(w) = -27*w**2 - 15*w + 6. Let p(m) = -6*j(m) - r(m). Let p(f) = 0. Calculate f.
-1/2, 0, 3
Let o(g) = 9*g. Let d be o(10). Find v such that 3*v**2 + 10 + 2*v**2 + d + 40*v - v**2 = 0.
-5
Let l(c) be the second derivative of -5*c**4/12 + 10*c**3/3 - 10*c**2 - 4*c + 1. Factor l(w).
-5*(w - 2)**2
Let o(t) be the first derivative of -4*t**5/25 - 11*t**4/5 - 12*t**3/5 + 238*t**2/5 - 392*t/5 + 17. What is l in o(l) = 0?
-7, 1, 2
Let p(j) be the second derivative of 13/24*j**4 - 4*j + 7/40*j**5 - 1/4*j**3 + 4 - 9/2*j**2 + 1/60*j**6. Suppose p(r) = 0. Calculate r.
-3, -2, 1
Let s(r) = 7*r**3 - 10*r**2 + 19*r - 11. Suppose 9*u - 48 = 17*u. Let a(l) = -8*l**3 + 10*l**2 - 20*l + 12. Let x(k) = u*s(k) - 5*a(k). Factor x(y).
-2*(y - 3)*(y - 1)**2
Let z be 0/(1*(-2 + 1)). Suppose 16 = -z*f + 4*f. Suppose 6*j**3 + 9*j**2 - j**f - 5*j**4 + 3*j**4 - 6*j - 6*j**4 = 0. What is j?
-1, 0, 2/3, 1
Let n(h) = h**3 - 3*h**2 - 4*h - 2. Let b be n(4). Let u be (b*1*(-3)/6)/2. Suppose u*f - 1/2*f**5 - f**2 + 0 + 0*f**3 + f**4 = 0. What is f?
-1, 0, 1
Suppose -1 = 2*p + t - 12, -4 = 4*t. Suppose -4 = -2*s, 4*c + 5*s - p = 2*s. Factor c*b**2 - 4/19*b - 2/19 + 4/19*b**3 + 2/19*b**4.
2*(b - 1)*(b + 1)**3/19
Let b(a) be the first derivative of -6 + 0*a + 5*a**3 + 0*a**2 + 3/5*a**5 + 9/2*a**4. Factor b(j).
3*j**2*(j + 1)*(j + 5)
Let u be (79/(-158))/(14/(-8)). Let 4/7*m**2 - 2/7*m + u*m**3 - 4/7 = 0. Calculate m.
-2, -1, 1
Determine w so that 874*w - w**2 + w**2 - 876*w - 2*w**2 + 84 + 0*w**2 = 0.
-7, 6
Suppose 5*p - 3 = -n - 2*n, -4*p + n = -16. Suppose 0 = 8*o - p*o. Factor 0*a + o + 2/7*a**2 - 2/7*a**3.
-2*a**2*(a - 1)/7
Let w(a) be the first derivative of 0*a - 4/21*a**3 - 8/35*a**5 - 24 + 1/21*a**6 + 0*a**2 + 5/14*a**4. Factor w(d).
2*d**2*(d - 2)*(d - 1)**2/7
Let h be ((-13)/(-130))/((-3)/(-10)). Let y be (14/(-3) - -3) + 2. Find d such that -y - 2/3*d - h*d**2 = 0.
-1
Let b = -1549 + 1552. Let j(k) be the third derivative of 0 + 0*k + 0*k**b - 1/150*k**5 + 4*k**2 - 1/60*k**4. Factor j(z).
-2*z*(z + 1)/5
Let h be (12/20)/((-27)/(-60)). Let c(q) be the first derivative of 0*q + 4 + h*q**2 - 7/6*q**4 - 1/3*q**6 + 4/3*q**5 - 8/9*q**3. Solve c(r) = 0.
-2/3, 0, 1, 2
Let i(s) = 4*s**2 - s - 5. Let c be i(-3). Let x = c - 65/2. Factor -3*f - 9/2*f**2 + 0 - x*f**3.
-3*f*(f + 1)*(f + 2)/2
Find t, given that -1/2*t**5 + 0 - 6*t**4 + 6*t**2 + 11/2*t - 5*t**3 = 0.
-11, -1, 0, 1
Solve -27*g - 3/7*g**5 - 96/7 + 6/7*g**2 + 192/7*g**3 + 90/7*g**4 = 0.
-1, 1, 32
Let t(q) = -q**3 + q**2 + q. Let m(k) = 2*k**5 + 6*k**4 - 10*k**3 + 2*k**2 + 2*k. Let o(y) = -m(y) + 2*t(y). Solve o(p) = 0.
-4, 0, 1
Let j(n) = n - 1. Let l(m) be the first derivative of -2*m**3/3 - m**2 + 4*m - 10. Let x(r) = 4*j(r) + 2*l(r). Factor x(v).
-4*(v - 1)*(v + 1)
Factor -2/9*c**2 - 104/9 + 34/9*c.
-2*(c - 13)*(c - 4)/9
Factor -1897*p**3 + 954*p**3 + 73 - 140*p - 15*p**2 + 27 + 993*p**3 + 5*p**4.
5*(p - 1)**2*(p + 2)*(p + 10)
Factor -23*v**3 - 61*v**4 + 60*v**4 + 6*v**3 - 30*v**2.
-v**2*(v + 2)*(v + 15)
Let -3/2*f**2 + 6 + 0*f = 0. Calculate f.
-2, 2
Let l(c) be the third derivative of -c**7/189 + 8*c**6/135 - 4*c**5/15 + 16*c**4/27 - 16*c**3/27 - 348*c**2. Factor l(g).
-2*(g - 2)**3*(5*g - 2)/9
Let n(b) be the first derivative of b**4/28 + 2*b**3/7 + 29*b - 29. Let w(u) be the first derivative of n(u). Factor w(x).
3*x*(x + 4)/7
Let b(g) = 2*g**3 + 8*g**2 - 47*g - 136. Let z be b(-6). Let -6/5*u**z + 36/5*u - 6 = 0. What is u?
1, 5
Let s be (57/380)/((-3)/(-8)). Factor 1/5*n - 1/5 + s*n**2.
(n + 1)*(2*n - 1)/5
Suppose i - 2*i + 254 = -3*y, 0 = -4*i + 8. Let t be 4/(-32)*-2 + (-363)/y. Let -18/7*w**4 - t*w**2 - 8/7*w - 6*w**3 + 0 = 0. Calculate w.
-1, -2/3, 0
Let d be (-1 - -13) + 28 + -37. Determine s, given that -2/19*s + 2/19*s**4 + 2/19 - 2/19*s**5 - 4/19*s**2 + 4/19*s**d = 0.
-1, 1
Let m(n) be the first derivative of -19 + 3/5*n**2 + 1/30*n**3 + 18/5*n. Factor m(l).
(l + 6)**2/10
Suppose -4*g + 17 = -k, 5*k + 10 = -15. Suppose -4*l = -4*i + 1 + g, 5*i + 5*l = 25. Factor 7*r - 2*r + 0*r + r**i - 4*r - 2*r**2.
r*(r - 1)**2
Let t = 96110/9 + -10678. Factor 2/9*v**2 + t - 8/9*v.
2*(v - 2)**2/9
Let k(d) be the second derivative of d**5/50 + 4*d**4/15 - d**3/15 - 8*d**2/5 - 13*d - 3. Solve k(c) = 0 for c.
-8, -1, 1
Suppose 21 + 43 = 2*u. Let s be ((-6)/(-1))/(24/u). Factor -s*t + 8/7 + 14*t**2.
2*(7*t - 2)**2/7
Let m(o) be the second derivative of 0 + 2*o - 2/27*o**3 + 3/2*o**2 - 1/36*o**4 - 1/270*o**5. Let h(r) be the first derivative of m(r). What is j in h(j) = 0?
-2, -1
Let r = 27/514 + 1921/2570. Factor 2/5*s + 2/5*s**2 - r.
2*(s - 1)*(s + 2)/5
Factor -58*v**2 + 22*v + 78*v**2 - 90 - 7*v - 5*v**3.
-5*(v - 3)**2*(v + 2)
Let q = -1/8406 - -3093413/42030. Let p = q + -72. Factor -8/5*o + 2/5*o**2 + p.
2*(o - 2)**2/5
Let i(t) be the third derivative of -t**6/240 + 3*t**5/20 - 27*t**4/16 + 9*t**3 + 13*t**2 - 2*t. Suppose i(v) = 0. What is v?
3, 12
Let y = -48 - -42. Let x be 16/14*(y + 12 + -5). Factor -x*j**2 + 4/7*j + 0 + 4/7*j**3.
4*j*(j - 1)**2/7
Let k(j) be the first derivative of 3*j**4/2 - 2*j**3/3 - 3*j**2 + 2*j - 38. Factor k(r).
2*(r - 1)*(r + 1)*(3*r - 1)
Let a(v) be the third derivative of v**5/30 + v**4/4 - 4*v**3/3 + 2*v**2 + 141*v. Find u, given that a(u) = 0.
-4, 1
Let g(q) be the second derivative of 3*q**5/100 - 7*q**4/20 + q + 4. What is r in g(r) = 0?
0, 7
Let k(i) be the second derivative of 0 + 0*i**2 + 33*i + i**3 - 1/12*i**4. Factor k(w).
-w*(w - 6)
Let n = 597 + -595. Let l(i) be the third derivative of -1/60*i**5 - 1/24*i**4 + 0*i - 7*i**n + 0 + 1/6*i**3 + 1/120*i**6. Determine b, given that l(b) = 0.
-1, 1
Let q = 89 - 85. Suppose -6 - 12 = -2*y - 2*c, 0 = -q*y + 4*c + 4. Determine d, given that 8/7*d**3 + 1/7*d**y + 0*d - 5/7*d**4 + 0 - 4/7*d**2 = 0.
0, 1, 2
Let p(r) be the second derivative of 0*r**4 - 11*r + 0*r**5 + 1/90*r**6 - 1/126*r**7 + 0*r**3 + 0 + 0*r**2. Factor p(z).
-z**4*(z - 1)/3
Factor 412*z**4 - 62797*z**3 - 2*z**5 + 12237*z**3 + 426*z**4 - 200*z**4 - 51200*z**2.
-2*z**2*(z - 160)**2*(z + 1)
Let y be -4 - (3/7 + (-884)/119). Let z(g) be the first derivative of -1/4*g**2 - 4 - 1/12*g**y - 1/4*g. Factor z(r).
-(r + 1)**2/4
Factor 6/7*c + 0 - 6/7*c**3 - 3/7*c**4 + 3/7*c**2.
-3*c*(c - 1)*(c + 1)*(c + 2)/7
Suppose 0 = 2*a - 2*y + 16, -5*a + 8*a + 20 = 2*y. Let g be a/26 - (-360)/819.