32*u**2 - 7*u - 4. What is j in m(j) = 0?
0, 1/76
Let n(l) be the first derivative of 5*l**6/39 + 16*l**5/65 + l**4/26 - 4*l**3/39 + 620. Suppose n(g) = 0. Calculate g.
-1, 0, 2/5
Let z(m) be the second derivative of 2*m + 105 + 0*m**2 + 1/20*m**5 - 1/2*m**3 + 1/6*m**4. Factor z(d).
d*(d - 1)*(d + 3)
Let t be (-1 + (290/(-42))/(-5))*(-605)/(-2420). Factor 2/21*j**2 - t*j - 4/21.
2*(j - 2)*(j + 1)/21
Let v be (-2)/(-44) + 4*(-1)/88. Let m(h) be the third derivative of -h**3 - 5/24*h**4 + 1/60*h**5 - 23*h**2 + 0 + v*h. Factor m(q).
(q - 6)*(q + 1)
Let a(j) = 2*j**2 + 2*j - 2. Let p be a(1). Solve 5*l**4 + p*l**5 - 4 - 3*l**3 + 0 - l**2 - 10*l**3 + 11*l = 0 for l.
-4, -1, 1/2, 1
Factor 340 + 1/2*i**2 + 27*i.
(i + 20)*(i + 34)/2
Let u(g) = g - 1. Let p(a) = -25*a**3 - 10*a**2 + 29*a + 6. Let h(o) = -9*o - 3. Let d be h(1). Let c = d + 8. Let i(n) = c*u(n) + p(n). Solve i(r) = 0.
-1, -2/5, 1
Determine q, given that 644*q**3 - 327*q**3 - 324*q**3 - q**5 + 7*q**4 - 8*q**2 - 7*q**2 = 0.
-1, 0, 3, 5
Let u(j) be the second derivative of j**5/150 + j**4/15 - 65*j**2/2 - 7*j - 2. Let o(y) be the first derivative of u(y). Let o(m) = 0. What is m?
-4, 0
Solve 30*k**3 - 125*k**2 - 3*k**4 + 24*k - 115*k**2 + 189*k**2 = 0 for k.
0, 1, 8
Suppose 79*y = 6 + 389. Let k(d) be the first derivative of 28/3*d**3 + 4*d**y - 2/3*d**6 - 10 + 0*d - 4*d**2 - 9*d**4. Factor k(j).
-4*j*(j - 2)*(j - 1)**3
Suppose -5*m = -21*m + 9408. Suppose 30*z - 44*z**2 - 26*z + m*z**4 - 447 + 28*z**3 + 447 = 0. What is z?
-1/3, 0, 1/7
Let c(n) = -3*n + 8. Let l be c(0). Let j be (-90)/8*l/(-6). Find z, given that 13*z**3 + 40*z**2 - 8*z**3 - j*z**4 - 2*z + 22*z = 0.
-1, -2/3, 0, 2
Let r(u) be the third derivative of -37/20*u**4 - 19/5*u**3 + 0*u + 1/100*u**6 - 21 - 17/50*u**5 - 8*u**2. Factor r(p).
6*(p - 19)*(p + 1)**2/5
Let y(v) be the third derivative of v**8/15120 - v**7/3780 - v**6/270 - v**5/60 + 5*v**4/12 - 5*v**2 + 2. Let g(f) be the third derivative of y(f). Factor g(t).
4*(t - 2)*(t + 1)/3
Find n such that 2/9*n**2 + 0 - 4/3*n**3 + 4/3*n - 2/9*n**4 = 0.
-6, -1, 0, 1
Let p(b) be the second derivative of 5*b**4/12 + 215*b**3/3 - 633*b. Determine g so that p(g) = 0.
-86, 0
Let p(g) = -2*g - 12. Let i be p(-5). Let s be (i - -1) + 2 + (-9)/(-1). Factor 10*y**2 + s*y + 0*y**2 - 15*y**2.
-5*y*(y - 2)
Let d(n) be the second derivative of -n**3/6 + 67*n**2/2 + 45*n - 1. Let a be d(65). Suppose 72/5 + o**3 + 62/5*o**a + 204/5*o = 0. Calculate o.
-6, -2/5
Suppose -8*d - 2290 = -1141 - 1173. Suppose -105/4*f - 51/4 - 3/4*f**d - 57/4*f**2 = 0. What is f?
-17, -1
Let r(d) be the first derivative of d**4/2 + 26*d**3/3 - 130*d**2 - 608*d - 365. Suppose r(w) = 0. Calculate w.
-19, -2, 8
Suppose 14*n**2 + 480*n - 696972 - 21*n**2 + 0*n**2 + 2412*n + 4*n**2 = 0. What is n?
482
Let d be (-19)/((-114)/(-36)) - 7/(-1). Let c be 15/10*d/126*8. Factor c*v**3 - 2/21*v**2 + 0*v + 0.
2*v**2*(v - 1)/21
Suppose -3*r - 5*x = 36, -118*r + 122*r - x - 21 = 0. Solve 0 + m**4 + 1/2*m**5 - m**2 + 0*m - 1/2*m**r = 0.
-2, -1, 0, 1
Let q be ((-12170)/3)/(980/(-210)). Let d = q + -869. What is k in -d*k**2 - 6/7 - 8/7*k = 0?
-3, -1
Suppose 548 = 36*d + 163*d + 150. Let x = -4552/7 + 652. Factor 9/7 + x*q + 3/7*q**d.
3*(q + 1)*(q + 3)/7
Let n(l) = 15*l + 77. Let c be n(-5). What is w in -w - 1 + 3*w**5 + 2*w**2 - 215*w**4 + 214*w**4 + c*w**3 - 4*w**5 = 0?
-1, 1
Suppose -107*j - 1053 + 822 = -552. Suppose -3/7*n**2 + 5/7*n - 1/7*n**j + 1/7*n**4 - 2/7 = 0. Calculate n.
-2, 1
Let y(o) be the first derivative of -1/6*o**6 - 308/3*o**3 - 6*o**5 + 3267/2*o**2 + 142 - 2662*o - 133/2*o**4. Factor y(g).
-(g - 2)*(g - 1)*(g + 11)**3
Let y be 4522/31654*((-12)/(-2) - 0). Factor -6/7 + y*h**4 + 6/7*h**3 - 3/7*h**5 - 24/7*h**2 + 3*h.
-3*(h - 1)**4*(h + 2)/7
Let k(h) be the second derivative of h**7/420 - h**6/60 - h**5/60 + h**4/4 - 15*h**3 - 2*h - 42. Let j(s) be the second derivative of k(s). Factor j(c).
2*(c - 3)*(c - 1)*(c + 1)
Suppose 0 = 70*h - 64*h - 12. Suppose 3*y - 4 - 3*y**h - 3*y**2 + 22 = 0. Calculate y.
-3/2, 2
Solve 1865*n**3 + 10*n**4 + 5628 + 95549 + 89250*n**2 - 16537 + 213440*n = 0 for n.
-92, -2, -1/2
Let j be (-42)/((-252)/(-222)) - -40. Factor 1/3*y**j + 4/3*y**2 + 4/3*y + 0.
y*(y + 2)**2/3
Let u(k) be the second derivative of k**7/630 + k**6/45 + k**5/10 + 53*k**4/12 - k + 4. Let g(n) be the third derivative of u(n). Solve g(d) = 0 for d.
-3, -1
Let t(b) be the second derivative of -b**5/25 - 281*b**4/15 + 3*b + 269. Find r such that t(r) = 0.
-281, 0
Let q(d) be the first derivative of -4*d**3 - 58 - 8*d + 9*d**2 + 1/2*d**4. Factor q(n).
2*(n - 4)*(n - 1)**2
Let n(h) be the first derivative of -25/48*h**4 + 19 - 1/2*h**2 + 10*h + 5/6*h**3. Let m(i) be the first derivative of n(i). Factor m(x).
-(5*x - 2)**2/4
Factor -27/5*g - 2/5*g**2 - 12/5*g**4 - 1/5*g**5 + 28/5*g**3 + 14/5.
-(g - 1)**3*(g + 1)*(g + 14)/5
Let v(d) be the first derivative of 4/3*d**3 - 200*d + 10*d**2 + 29. Factor v(j).
4*(j - 5)*(j + 10)
Let d be (0 - 4)*1/7 - 28/(-49). Let g(l) be the third derivative of 0*l**3 + 1/735*l**7 - 10*l**2 + d*l**4 - 1/105*l**5 + 0*l + 0 + 1/420*l**6. Factor g(m).
2*m**2*(m - 1)*(m + 2)/7
Let w(u) be the second derivative of u**7/1260 + 7*u**6/60 + 147*u**5/20 - u**4/6 - 11*u**2/2 + 19*u - 1. Let z(l) be the third derivative of w(l). Factor z(g).
2*(g + 21)**2
Let i(l) be the first derivative of 5*l**4/16 - 25*l**3/4 - 135*l**2/4 - 630. Factor i(o).
5*o*(o - 18)*(o + 3)/4
Let w(j) = j - 20. Let k be w(-22). Let i be 5/7 + (-12)/k. Suppose -30*p + 148*p**2 + i + 3 - 134*p**2 = 0. What is p?
1/7, 2
Let 9969008 + 228080*m**2 - 27483233 + 8370*m - 228081*m**2 = 0. What is m?
4185
Let r(n) be the first derivative of 3*n**4/10 + 30*n**3 + 945*n**2 + 7350*n - 1976. Let r(a) = 0. What is a?
-35, -5
Let b be (6/5)/((-2)/(-10)). Suppose -2 = -3*v + 5*i, 108*i - 103*i - 14 = -v. Factor 11*g**2 - 19*g**2 + b*g + v + 10*g**2.
2*(g + 1)*(g + 2)
Let b = -15491/12 + 3997/4. Let t = b + 299. Solve 6*m**4 - t*m**3 + 0 + 4/3*m**2 + 0*m = 0.
0, 2/9, 1
Suppose 0 = 2*d - 6, 3*v + 0*v = -d - 3. Let n be (v + 0)/(-4) - 0/(-10). Find g such that -11*g**2 - 7/2*g**4 + 13/2*g + n*g**5 - 3/2 + 9*g**3 = 0.
1, 3
Let n = -18/16537 - -1289976/82685. Find d, given that -n*d - 507/5 - 3/5*d**2 = 0.
-13
Let h(p) be the second derivative of -19/3*p**4 - 2/15*p**6 - p + 11/5*p**5 - 14 + 0*p**2 + 6*p**3. Solve h(g) = 0.
0, 1, 9
Let b be 38/(-4) + 1/(-2). Let y(i) = -2*i - 18. Let q be y(b). Factor 0*l**3 - 4*l - l**3 - 2 - l - 4*l**q + 0.
-(l + 1)**2*(l + 2)
Let a(c) be the third derivative of -c**6/60 + 10*c**5 - 2500*c**4 + 1000000*c**3/3 + 1219*c**2. Factor a(f).
-2*(f - 100)**3
Let m(p) be the second derivative of p**6/90 - 8*p**5/15 + 5*p**4/2 - p**3/3 - 3*p**2/2 - 4*p + 16. Let a(o) be the second derivative of m(o). Factor a(h).
4*(h - 15)*(h - 1)
Let m(n) = 2*n**4 - 38*n**3 - 72*n**2. Let o(q) = -2*q**4 + 36*q**3 + 72*q**2. Let x(b) = 2*m(b) + 3*o(b). Factor x(s).
-2*s**2*(s - 18)*(s + 2)
Let h(g) = -6*g**3 + 107*g**2 - 91*g - 10. Let i(y) = -3*y**3 + 54*y**2 - 45*y - 6. Let z(s) = 3*h(s) - 5*i(s). Solve z(b) = 0.
0, 1, 16
Let b = -238 + 364. Let t be ((-1)/3)/(246/b + -2). What is k in -k + t*k**3 - 5*k**3 - k**3 = 0?
-1, 0, 1
Suppose -3/2*h**2 + 0 + 1/4*h**3 + 0*h = 0. What is h?
0, 6
Find x such that -76*x**4 - 196*x**3 - 3*x**5 - 33153*x**2 + 200*x + 128 + 33101*x**2 - x**5 = 0.
-16, -2, -1, 1
Let c(k) be the third derivative of -k**8/6720 - k**7/3360 - 26*k**3 - 16*k**2 - 4*k. Let n(f) be the first derivative of c(f). Suppose n(p) = 0. What is p?
-1, 0
Let o(j) = 7*j**4 + 67*j**3 - 178*j**2 - 178*j. Let q(t) = 15*t**4 + 165*t**3 - 355*t**2 - 355*t. Let n(f) = 5*o(f) - 2*q(f). Factor n(s).
5*s*(s - 6)*(s + 1)*(s + 6)
Let k(g) be the first derivative of -g**6/180 + g**5/20 + 14*g**3 + 16. Let y(z) be the third derivative of k(z). Suppose y(j) = 0. Calculate j.
0, 3
Let l(t) = t**2 - 6*t + 17. Let k be l(2). Suppose -k*q = 22*q. Factor 1/4*h**3 + q - 1/2*h - 1/4*h**2.
h*(h - 2)*(h + 1)/4
Let j = 10695 + -10688. Let y(u) be the third derivative of 0 + 27*u**2 + 0*u**4 + 1/2*u**5 + 5/24*u**6 - 1/42*u**j + 0*u**3 + 0*u. Factor y(g).
-5*g**2*(g - 6)*(g + 1)
Let h(s) = 5*s + 9. Let b be h(11). Factor 900*p - 223 + 67*p**3 + 90*p**2 - b