t is w?
-2, -1, 0
Let k(s) be the second derivative of 0*s**2 - 1/20*s**5 - 1/2*s**3 + 9*s + 0 + 1/3*s**4. Find n, given that k(n) = 0.
0, 1, 3
Factor -274*n - 5*n**3 + 2459*n + 9*n**3 + 200*n**2 + 3610 + n**3.
5*(n + 2)*(n + 19)**2
Let q(d) be the third derivative of 11/10*d**5 + 13/8*d**4 - 4*d**2 + 1/10*d**7 + 1/112*d**8 + 0 + 9/20*d**6 + 0*d + 3/2*d**3. Let q(h) = 0. Calculate h.
-3, -1
Let n(v) = -v**2 + 7*v. Suppose -4*z + 32 - 4 = 0. Let w be n(z). Factor -t + 3*t - 2*t**3 - 4*t + w*t**3 + 4*t**2.
-2*t*(t - 1)**2
Solve 4/3*c**3 - 28/3*c - 1/3*c**4 + 5 + 10/3*c**2 = 0 for c.
-3, 1, 5
Let w be (-1)/(-3) - 1*(-32)/1056. Let 2/11*z + 2/11*z**2 - w = 0. Calculate z.
-2, 1
Let -5*o + 50*o + 90 + 5*o**2 - 15 - 5*o = 0. Calculate o.
-5, -3
Suppose 0 = 3*p - 5*p - 10, 0 = 4*w - 5*p - 33. Let y be (w + 2*-2)/(-1). Factor 2*i**4 - 2*i**2 - 2*i**2 + i**2 + i**y.
2*i**2*(i - 1)*(i + 1)
Let i be -8 + 819/105 - 1*(-51)/15. Solve i*z + 1/5*z**2 + 64/5 = 0.
-8
Let g(f) = 19*f + 40. Let v be g(-2). Let b(k) be the third derivative of -v*k**2 - 3/100*k**5 + 0*k + 0 - 1/40*k**4 + 3/10*k**3 + 1/200*k**6. Factor b(r).
3*(r - 3)*(r - 1)*(r + 1)/5
Let i be 10/25 - (-11)/(275/90). Let v(g) be the first derivative of 0*g**i + 0*g - 3 - 4*g**3 - 4*g**2 + 4/5*g**5. Factor v(j).
4*j*(j - 2)*(j + 1)**2
Let x(s) be the first derivative of 4/27*s**3 - 8/9*s - 9 + 2/9*s**2. Factor x(g).
4*(g - 1)*(g + 2)/9
Suppose -2/7*u**5 + 0 + 0*u - 4/7*u**3 + 0*u**2 + 6/7*u**4 = 0. What is u?
0, 1, 2
Let n = 54721 - 54718. Let 2*w**n + 2/7*w**4 + 30/7*w**2 + 26/7*w + 8/7 = 0. Calculate w.
-4, -1
Let r be ((-3)/(-6))/(-1)*(2 - -2). Let p = r - -4. Let 2/5*o**p - 6/5*o**3 + 0 + 0*o = 0. Calculate o.
0, 1/3
Let s(l) = 2*l**3 + 28*l**2 + 13*l + 182. Let a be s(-14). Determine r, given that a*r + 4/9*r**4 - 10/9*r**5 + 0 + 10/9*r**3 - 4/9*r**2 = 0.
-1, 0, 2/5, 1
Let z(d) be the second derivative of -4/3*d**3 - 30*d + 0 - 8/7*d**2 - 5/7*d**4 - 9/70*d**5. Let z(l) = 0. What is l?
-2, -2/3
Determine u so that -865/3*u - 475/3*u**2 - 70/3*u**3 - 70 = 0.
-7/2, -3, -2/7
Factor 0 + 1/4*h**4 + h**3 + 0*h**2 + 0*h.
h**3*(h + 4)/4
Let z(c) be the third derivative of c**8/8064 + c**7/1008 + 2*c**5/15 + 22*c**2. Let g(b) be the third derivative of z(b). Factor g(v).
5*v*(v + 2)/2
Let l be (-64 + 65)*((-52)/20 + 3). Suppose l*d**3 - 1/10*d**4 + 2/5*d - 1/10 - 3/5*d**2 = 0. Calculate d.
1
Let h be (-2)/4*226/(-339). Let 0 - l - h*l**5 - 2*l**4 - 10/3*l**2 - 4*l**3 = 0. What is l?
-3, -1, 0
Let i(w) be the third derivative of -73/450*w**5 + 0*w - 1/5*w**3 - 4/15*w**4 - 1/150*w**6 - 11*w**2 - 1/315*w**8 + 4/175*w**7 + 0. Factor i(f).
-2*(f - 3)**2*(2*f + 1)**3/15
Let t = 532 + -156. Determine f so that 376 - 3*f**2 - t - 3*f**3 = 0.
-1, 0
Let f = -1150 + 12658/11. Suppose -f*o + 0 + 8/11*o**2 - 2/11*o**3 = 0. Calculate o.
0, 2
Let k = -8024 + 8029. Factor -2/9*x**4 - 22/9*x**2 - 8/9*x + 0 + 2/9*x**k - 2*x**3.
2*x*(x - 4)*(x + 1)**3/9
Suppose -2*b + 4 = 0, 2*m + b = 6*b + 12. Factor -m*i**2 - 7*i + 12*i**3 - 3*i + 4*i + 26*i**2 - 9*i**4.
-3*i*(i - 2)*(i + 1)*(3*i - 1)
Let z(k) be the second derivative of 3/40*k**5 + 3/4*k**4 + 0*k**2 + 5*k + 0 + 9/4*k**3. Find g such that z(g) = 0.
-3, 0
Suppose -5*d + 2*d + 33 = 5*j, -2*d + 15 = j. Suppose -d*o = -9*o + 15. Find r, given that 15*r - 6*r**4 + 3*r**3 - 14*r - 3*r**2 + o*r**4 = 0.
0, 1
Suppose 5*c - 56 = -21. Factor -c*u**2 - 2*u**2 + 48*u - 7*u**2 - 4*u + 12.
-4*(u - 3)*(4*u + 1)
Find m such that -2*m - 8/3 + 2/3*m**2 = 0.
-1, 4
Let 5 - 1/3*i**2 + 2/3*i = 0. What is i?
-3, 5
Let g(l) be the first derivative of -l**5/10 + l**4/8 + 79. Solve g(q) = 0.
0, 1
Let y(x) = -x**3 + 10*x**2 - x + 20. Let t be y(10). Let z = -6 + t. Factor 0*g + 4/11*g**3 + 0 + 0*g**2 + 2/11*g**z.
2*g**3*(g + 2)/11
Suppose 27/7*p + 30/7 - 3/7*p**2 = 0. Calculate p.
-1, 10
Let n(l) = -5*l**4 + 15*l**3 + 10*l. Let h(j) = j**4 - j**3 - j. Suppose -4*g + 50 = -9*g. Let o(c) = g*h(c) - n(c). Factor o(s).
-5*s**3*(s + 1)
Suppose -1273*h - 102 = -1307*h. Factor -1/5*q**h + 3/5 + 1/5*q**2 + q.
-(q - 3)*(q + 1)**2/5
Let c = 48 + -53. Let w be c - (-11 - -5) - (-2)/1. Find o, given that -2/7*o**5 - 2/7*o**4 - 2/7 - 2/7*o + 4/7*o**2 + 4/7*o**w = 0.
-1, 1
Let u(l) be the second derivative of 0 - 3/8*l**2 + 3/160*l**5 + 17/48*l**3 + 1/240*l**6 - 19*l - 5/32*l**4. Find m, given that u(m) = 0.
-6, 1
Let t be 21/6 + (-69)/46. Let 8*o + 8/5 - 2*o**4 - 6/5*o**t - 32/5*o**3 = 0. Calculate o.
-2, -1/5, 1
Factor 0*l**2 - 4/5*l**3 + 0*l + 0.
-4*l**3/5
Let y be (-4)/26 - (-2023)/221. Let f be -1*(-24)/90*y/2. Factor -2/5*k**2 + f*k + 0.
-2*k*(k - 3)/5
Let m(q) be the third derivative of -q**6/60 + 4*q**5/15 - 13*q**4/12 + 2*q**3 + 29*q**2 + q. Factor m(t).
-2*(t - 6)*(t - 1)**2
Let i = 13447 - 13443. Find o such that 2/3*o - i + 2/3*o**2 = 0.
-3, 2
Let k(q) be the second derivative of -65/6*q**3 + 15/2*q**2 + 55/6*q**4 + 7/6*q**6 - 5/42*q**7 - 9/2*q**5 + 44*q + 0. Find a, given that k(a) = 0.
1, 3
Let d(t) = t - 7. Let g be d(10). Let w(v) be the first derivative of -2*v**3 - 1 - 3*v**2 + 0*v**3 + v**g. Find j such that w(j) = 0.
-2, 0
Let a = 471 + -809. Let f = -336 - a. Find j such that 0 - 9/7*j**3 - 9/7*j**5 + 0*j + 6/7*j**f - 24/7*j**4 = 0.
-2, -1, 0, 1/3
Let o be (-6)/(-11) + 13280/55. Let k = -242 + o. Factor -8/9*n + k - 4/9*n**2.
-4*n*(n + 2)/9
Let d = -6 - -10. Let j = d - 1. Find k, given that 40*k**2 + 46 - j*k**3 - 13*k**2 - 19*k + 35 - 62*k = 0.
3
Let r = -24 + 26. Suppose 5*l = -l + r*l. Solve 2/7*i**5 - 2/7*i**4 + l + 0*i + 0*i**2 + 0*i**3 = 0.
0, 1
Let i = -98 - -2353/24. Let h(a) be the first derivative of 0*a**2 + 1/9*a**3 + 1 - i*a**4 + 0*a. Find m, given that h(m) = 0.
0, 2
Suppose -g + 259 - 256 = 0. Let z(w) be the first derivative of -5 - 1/15*w**g + 0*w + 0*w**2 + 3/20*w**4 - 3/25*w**5 + 1/30*w**6. Solve z(i) = 0.
0, 1
Let d(a) = -a**2 + a + 1. Suppose u - 3*u - 80 = 0. Let g(x) = -9*x**2 + 4*x + 13. Let h(o) = u*d(o) + 5*g(o). Factor h(f).
-5*(f - 1)*(f + 5)
Let x(n) be the second derivative of n**9/113400 + n**8/16800 + n**7/6300 + n**6/5400 - 17*n**4/12 + 4*n. Let o(i) be the third derivative of x(i). Factor o(h).
2*h*(h + 1)**3/15
Let l(a) = a**3 - 7*a**2 + 6*a + 4. Let k be l(6). Let p(c) = 7*c**2 - 6*c - 5. Let t(w) = 15*w**2 - 12*w - 9. Let j(u) = k*t(u) - 9*p(u). Factor j(v).
-3*(v - 3)*(v + 1)
Suppose 5*t - 7 = -5*c + 3, 4 = 2*c + 3*t. Let 2*a**4 - 4*a**c - 8*a**4 - 10*a**3 - 16 + 16 = 0. What is a?
-1, -2/3, 0
Let v(p) = -7*p**4 - 5*p**3 + p**2 + 3*p. Let z(q) = 31*q**4 + 21*q**3 - 5*q**2 - 12*q + 1. Let c(y) = 9*v(y) + 2*z(y). Factor c(t).
-(t - 1)*(t + 1)**2*(t + 2)
Let q(v) = -v**2 + 14*v + 36. Suppose -5*x = -75 - 90. Let k(g) = -6*g**2 + 71*g + 180. Let j(c) = x*q(c) - 6*k(c). Factor j(r).
3*(r + 6)**2
Let u be 1/((-75)/20 - -4). Suppose -3*c**3 + 0 - 1/2*c**u - 4*c - 6*c**2 = 0. What is c?
-2, 0
Let v(j) be the second derivative of j**4/48 - j**3/24 - 3*j**2/4 + 36*j. Find p such that v(p) = 0.
-2, 3
Let y(j) be the third derivative of -1/6*j**4 + 0 - 2/15*j**6 + 0*j**3 + 12*j**2 - 1/35*j**7 - 7/30*j**5 + 0*j. Suppose y(c) = 0. Calculate c.
-1, -2/3, 0
Find k such that -k**4 - 10*k**3 + 15*k**2 - 19*k**2 + 3*k**4 + 48*k + 4*k**3 - 16*k**2 = 0.
-3, 0, 2, 4
Let m = 547 + -803. Let y = m + 259. Factor 1/6*h**y + 0*h**2 + 0 - 1/6*h.
h*(h - 1)*(h + 1)/6
Let n(j) = j**2 - j + 4. Suppose -3*l = 11 + 4. Let a(u) = u**2 + 2. Let k(t) = l*a(t) + 3*n(t). Find x such that k(x) = 0.
-2, 1/2
Let c = -5 - -9. Let l = 9 + 6. Let j(h) = -13*h**4 + 2*h**3 - h**2 - 4*h. Let w(f) = 51*f**4 - 9*f**3 + 3*f**2 + 15*f. Let a(k) = c*w(k) + l*j(k). Factor a(y).
3*y**2*(y - 1)*(3*y + 1)
Let c(a) be the second derivative of 2*a**6/75 + 23*a**5/100 + 13*a**4/30 - 4*a**3/15 + 267*a. Factor c(h).
h*(h + 2)*(h + 4)*(4*h - 1)/5
Let h = -532 + 534. Let j(k) be the third derivative of 0*k**3 - 1/96*k**4 + 0 - 1/240*k**5 + 0*k - h*k**2. Find t, given that j(t) = 0.
-1, 0
Let n(o) = 2*o**3 - 9*o**2 + 3*o + 2. Let c(g) = 5*g**3 - 2*g + g + g**2 + 0*g - 6*g**3. Let f(a) = -6*c(a) + 3*n(a). Let f(x) = 0. What is x?
-1/4, 1, 2
Let l = 3923 - 1306360/333. Let y = l - -1004/1665. Factor 3/5*d**3 + y*d + 6/5*d**2 + 0.
3*d*(d + 1)**2/5
Let p = 197/240 + -11/16. Let d(r) be the first derivative of -2/25