 + 56*n**a + 20*n**5 + 0 + 32/5*n**2 + 0*n = 0.
-2, -2/5, 0
Let g(i) be the third derivative of -i**6/540 + i**5/270 + i**4/54 - 94*i**2. Let g(p) = 0. Calculate p.
-1, 0, 2
Suppose -5*y + 40 = 5*s, 788*y - 785*y - 20 = -2*s. Determine t so that -2/5*t**s - 6/5 + 8/5*t**2 - 4/5*t + 4/5*t**3 = 0.
-1, 1, 3
Let t be -18*(-24)/660*10/4. Factor 10/11*u**2 + 6/11*u - t + 2/11*u**3.
2*(u - 1)*(u + 3)**2/11
Let t = 8392 + -8389. Factor 17/2*i**3 - 10*i + 5/2*i**4 + t*i**2 - 4.
(i - 1)*(i + 2)**2*(5*i + 2)/2
Suppose 0 = -2*q + 2*q - 3*q. Let o(b) be the second derivative of q*b**4 + 1/6*b**3 + b - 1/20*b**5 + 0 + 0*b**2. Solve o(n) = 0 for n.
-1, 0, 1
Suppose 4*h + 5 - 5 + 275*h**4 - 276*h**4 - 3*h**3 = 0. What is h?
-2, 0, 1
Let v be (4/4)/((-4)/(-16)). Solve -11*a**3 + 5*a**v - 45*a**2 + 47*a - 72*a - 4*a**3 = 0.
-1, 0, 5
Factor 0 + 6/5*y**3 + 0*y**2 + 0*y + 3/5*y**4.
3*y**3*(y + 2)/5
Let v(w) be the second derivative of -w**7/280 - w**6/24 - 7*w**5/40 - 3*w**4/8 - w**3/3 + 9*w. Let m(i) be the second derivative of v(i). Factor m(q).
-3*(q + 1)**2*(q + 3)
Suppose -13*v + 448 = v. Suppose -q = 28 - v. Factor 0*t + 1/2*t**2 + 0 + 1/4*t**3 - 1/4*t**q.
-t**2*(t - 2)*(t + 1)/4
Let p(a) be the first derivative of -4*a**3/3 - 8*a**2 - 12*a + 368. Suppose p(h) = 0. What is h?
-3, -1
Let t(y) = -y**2 + 8*y - 2. Let i be t(6). Let n = 10 - i. Factor -v**3 - 2/5*v + 7/5*v**2 + n.
-v*(v - 1)*(5*v - 2)/5
Let v(o) = -o**2 + 8*o + 2. Let x(f) = f**2 - 2*f + 1. Let u(j) = -v(j) - 2*x(j). Factor u(k).
-(k + 2)**2
Let l be (2 + (-3)/(-6))*48. Suppose 32 - 10*f**3 + l*f + 30*f**3 + 4*f**2 + 104*f**2 = 0. Calculate f.
-4, -1, -2/5
Let n(r) = -33*r - 162. Let l be n(-5). Let q(m) be the first derivative of -1/24*m**4 - 3 - 1/18*m**l + 0*m**2 + 0*m. Factor q(k).
-k**2*(k + 1)/6
Let a be 2 - 282/(-36)*-1. Let g = -103/30 - a. Factor 0*o + 0 + g*o**3 - 8/5*o**2 + 4*o**4.
4*o**2*(o + 1)*(5*o - 2)/5
Let h(u) be the second derivative of u**5/65 - u**4/78 + 55*u. Determine w, given that h(w) = 0.
0, 1/2
Let s(p) = -3*p**2 + 48*p + 39. Let d(y) = -2*y**2 + 47*y + 39. Let z(i) = 6*d(i) - 5*s(i). Factor z(h).
3*(h + 1)*(h + 13)
Let d(u) = 3*u**2 + 45*u - 1089. Let b be d(13). Determine t, given that 4/3*t**4 - 4/3*t**2 + 0 + 0*t**b + 2/3*t - 2/3*t**5 = 0.
-1, 0, 1
Factor -400 + 0*d**2 - 120*d - d**2 - 4*d**2 + 0*d**2.
-5*(d + 4)*(d + 20)
Determine o so that -84*o**3 - 377/4*o**2 + 441/4 - 16*o**4 + 84*o = 0.
-21/8, -1, 1
Let k(b) be the second derivative of b**5/90 - 2*b**4/27 + 4*b**3/27 - 10*b. Determine i, given that k(i) = 0.
0, 2
Suppose 0*n + 3*n = 2*h - 27, -2*n + 8 = 3*h. Suppose 3*c + 3*x - 6 = 0, 0 = 3*c - h*c - 4*x + 6. Solve c*r + 6 + r**3 + 7*r - 3*r**3 - r**3 = 0 for r.
-1, 2
Let f(s) be the first derivative of -3*s**4/2 + 23*s**3/3 - 10*s**2 - 4*s - 5. Factor f(r).
-(r - 2)**2*(6*r + 1)
Suppose -4*d + 4*x = -76, 0 = d + 24*x - 21*x + 9. Find b, given that 0 - 3*b + d*b**2 - 51/4*b**3 + 15/4*b**4 = 0.
0, 2/5, 1, 2
Suppose 0 = 20*b - 24*b. Let u(v) be the second derivative of b - 7*v + 1/5*v**3 - 1/5*v**2 + 1/50*v**5 - 1/10*v**4. Solve u(t) = 0.
1
Let l = -46 + 33. Let p = l - -16. Let 2*s**3 - 2*s**2 - 11 - s**p + 11 = 0. Calculate s.
0, 2
Let b(y) be the first derivative of -2*y**3/39 + 2*y/13 + 516. Determine x so that b(x) = 0.
-1, 1
Let k be (-23)/(-5) + (-102)/(-255). Let f(y) be the third derivative of -1/240*y**k + 0 + 1/24*y**3 + 6*y**2 + 1/480*y**6 + 0*y - 1/96*y**4. Factor f(o).
(o - 1)**2*(o + 1)/4
Suppose 9*h - 5*k + 20 = 10*h, -h = 4*k - 15. Let d be -3 - (-3 + 0/h). Find f such that 0*f + d - 1/3*f**2 = 0.
0
Let v be 8/(((-16)/(-10))/4). Let x = 22 - v. Suppose 4 - 57*s**3 - 5*s**2 + 21*s - 33*s**x + 21*s**4 + 11*s**2 + 2 + 36*s**5 = 0. What is s?
-1, -1/4, 2/3, 1
Let -45*k - 11*k**2 + 9*k**2 + 70 + 7*k**2 = 0. What is k?
2, 7
Let b(p) be the second derivative of 5*p**4/12 - 65*p**3/3 + 845*p**2/2 - 287*p. Factor b(i).
5*(i - 13)**2
Let h be (4176/(-192) - -21)/((-6)/32). Factor -4/7*b**h + 0*b - 24/7*b**3 + 0 - 36/7*b**2.
-4*b**2*(b + 3)**2/7
Let u(z) be the first derivative of -z**4/18 + 14*z**3/9 - 13*z**2/3 + 38*z/9 + 42. Factor u(g).
-2*(g - 19)*(g - 1)**2/9
Let v(d) = 2*d**2 + 3*d + 1. Let h be v(-2). Suppose -5*x = r + 17, -3*r + 1 = h*x + 4. Factor 0*j**3 - j**2 + 0*j**3 - 3*j**4 - r*j**3 - j**5.
-j**2*(j + 1)**3
Let p(z) = 4*z**3 + 2*z**2 + 16*z - 17. Let u be p(1). Let s(m) be the first derivative of -3/2*m**2 - u + 0*m + 1/3*m**3. Suppose s(a) = 0. What is a?
0, 3
Factor -138 - 4*q**3 + 286 + 61 + 203 - 828*q + 420*q**2.
-4*(q - 103)*(q - 1)**2
Let b be 4/(-6) - (-876)/18. Suppose -4*s - r = -b, 2*r - 48 = -4*s - 0*r. Factor -5 + 2*m**2 + s*m + 9 + 14.
2*(m + 3)**2
Let w(f) = 5*f**2 + 8*f - 90. Let h(l) = -4*l**2 - 9*l + 79. Let q(z) = 6*h(z) + 5*w(z). Factor q(g).
(g - 12)*(g - 2)
Let i = 2994/19 - 5893/38. Factor -i*w - 1/8*w**2 - 25/2.
-(w + 10)**2/8
Let a(m) = -m**2 + 10*m - 1. Let b be a(11). Let r = 16 + b. Factor u**3 + 17*u - 17*u + u**r.
u**3*(u + 1)
Let y(x) be the first derivative of -x**4/16 + 2*x**3/3 + 149. Factor y(i).
-i**2*(i - 8)/4
Let q(v) = 15*v**2 - 63*v + 30. Let c(l) = l**2 - 2*l - 2. Let g(b) = 18*c(b) - q(b). Factor g(r).
3*(r - 2)*(r + 11)
Suppose 5*n = -4*n. Let i(z) be the third derivative of 0*z - 1/20*z**5 + n - 1/24*z**4 + 5*z**2 - 1/120*z**6 + 1/70*z**7 + 1/168*z**8 + 0*z**3. Factor i(q).
q*(q - 1)*(q + 1)**2*(2*q + 1)
Suppose -11 = -7*v + 17. Solve -v*h**2 - 48*h + 1 - 5 + 40*h = 0.
-1
Let p = -113 - -227/2. Let j(r) be the first derivative of 4/5*r**2 - 2/25*r**5 - 4 - p*r**4 - 4/5*r**3 + 16/5*r. Factor j(l).
-2*(l - 1)*(l + 2)**3/5
Let r = 1621 + -1610. Let y(q) be the first derivative of r + 5*q - 5/2*q**4 - q**5 + 0*q**3 + 5*q**2. Solve y(n) = 0 for n.
-1, 1
Let h be ((-18)/4)/(24/(-32)). Let -3*a**3 - 3*a + 2*a**5 + 2*a**2 + 1 - 3*a**4 + 5*a**3 - h*a**5 + 5*a**5 = 0. Calculate a.
-1, 1
Suppose a - 25 - 17 = -2*n, -4*a + 144 = 2*n. Let -34*p + a*p - 5*p**4 - 5*p**2 + 10*p**3 = 0. What is p?
0, 1
Suppose 2*z + 10 = -14. Let j be 16/96 + (-46)/z. Let -1/2*p**5 - 1/2*p**2 - 2 - j*p + 5/2*p**3 + 1/2*p**4 = 0. Calculate p.
-1, 2
Let h(g) be the second derivative of g**6/2520 + g**5/280 - 11*g**3/6 - 2*g. Let o(v) be the second derivative of h(v). Suppose o(r) = 0. What is r?
-3, 0
Let u(b) = 51*b**3 - 99*b**2 - 24*b + 9. Let o(n) = -13*n**3 + 25*n**2 + 6*n - 2. Let h be -27*(0 + 2/(-6)). Let p(d) = h*o(d) + 2*u(d). Factor p(f).
-3*f*(f - 2)*(5*f + 1)
Let k(j) be the first derivative of -3/35*j**5 + 9/7*j - 12/7*j**2 - 12 + 6/7*j**3 + 0*j**4. Factor k(o).
-3*(o - 1)**3*(o + 3)/7
Let b(h) = h**2 - 5*h + 2. Let t = 72 + -48. Suppose w = -44 + 47. Let o(c) = c. Let f(v) = t*o(v) + w*b(v). Suppose f(m) = 0. Calculate m.
-2, -1
Suppose -3*i = -36 - 48. Let h = i - 24. Factor -10 + 6*p + 1 - h + 4 - p**2.
-(p - 3)**2
Let i(u) be the third derivative of -u**7/42 - 7*u**6/24 + u**5/4 + 115*u**4/24 + 35*u**3/3 + 195*u**2. Factor i(f).
-5*(f - 2)*(f + 1)**2*(f + 7)
Suppose -4*f - 4*l - 824 = -0*f, 5*f + 3*l + 1034 = 0. Let y = f - -210. Find b, given that -2*b**y - 4/5*b**3 - 2/5*b + 4/5 = 0.
-2, -1, 1/2
Let q = 39/62 - 4/31. Let b(m) be the second derivative of -m + 0 + 1/3*m**3 + q*m**2 + 1/12*m**4. Factor b(l).
(l + 1)**2
Let a(u) = u - 6. Let z be a(8). Suppose 0 = l + z*n + 8, 2*l - 2*n - 5 = 9. Factor 0 - 3/2*b**l + 3/2*b**4 - 3/2*b**3 + 0*b + 3/2*b**5.
3*b**2*(b - 1)*(b + 1)**2/2
What is i in 289 + 453 + 316 - 33*i + 2*i**2 - 59*i = 0?
23
Let z(x) = 15*x**2 + 1 + 0*x**2 - 1 + 3*x**4 - 29*x**3. Let j(l) = l**4 - 15*l**3 + 8*l**2. Let a(h) = -11*j(h) + 6*z(h). Suppose a(o) = 0. What is o?
0, 2/7, 1
Let r(y) be the third derivative of -y**7/168 - 5*y**6/72 - y**5/8 - 5*y**4/24 - 19*y**2. Let v(g) be the second derivative of r(g). Let v(z) = 0. What is z?
-3, -1/3
Find d such that 3/2*d**3 + 1/2*d + 1/2*d**4 + 3/2*d**2 + 0 = 0.
-1, 0
Let z = -44 + 52. Solve 0*k**3 + z*k**2 + 4*k - 5*k - 2*k**3 - 5*k = 0 for k.
0, 1, 3
Let i(w) be the third derivative of w**5/30 - 7*w**4/8 + 20*w**2. Let m(u) = -3*u**2 + 21*u. Let g(x) = 6*i(x) + 5*m(x). Determine q so that g(q) = 0.
-7, 0
Let v(b) be the second derivative of b**4/6 - 16*b**3 + 47*b**2 - 449*b. Factor v(y).
2*(y - 47)*(y - 1)
Let d(h) = 6*h + 1. Let p(i) = 7*i. Let