erivative of s**5/70 - 5*s**4/42 + 2*s**3/21 + 8*s**2/7 - 12*s + 17. What is n in q(n) = 0?
-1, 2, 4
Let u be 3/(-4) - (-50)/24. Let a(i) be the second derivative of 0 + 2*i**2 - 2/15*i**6 + 0*i**4 - u*i**3 + 2/5*i**5 + 5*i. Solve a(p) = 0.
-1, 1
Suppose 0 = -0*z + 3*z - 6. Factor -2 - 2*d**3 + 2*d - z*d**4 + 2*d**2 - 2 + 4.
-2*d*(d - 1)*(d + 1)**2
Let i(t) be the second derivative of -1/21*t**3 + 0 - 12*t + 1/70*t**5 + 0*t**4 + 0*t**2. Factor i(y).
2*y*(y - 1)*(y + 1)/7
Suppose 494*t + 6 = 6. Factor 7*k**5 - 18*k**4 + 109/7*k**3 - 36/7*k**2 + 4/7*k + t.
k*(k - 1)**2*(7*k - 2)**2/7
Let c(g) be the third derivative of g**7/105 - g**6/20 - g**5/30 + g**4/4 + 35*g**2 - g. Factor c(w).
2*w*(w - 3)*(w - 1)*(w + 1)
Let l(i) be the first derivative of 5*i**4/6 + 25*i**3/9 - 55*i**2/3 + 25*i + 137. Factor l(b).
5*(b - 1)*(b + 5)*(2*b - 3)/3
Let r(g) be the third derivative of g**8/5040 + g**7/315 - g**6/36 + 11*g**5/30 + 47*g**2. Let x(f) be the third derivative of r(f). Factor x(l).
4*(l - 1)*(l + 5)
Let y(m) = -m**3 - 4*m**2 + 2. Let w(i) = -32*i**3 + 164*i**2 - 512*i - 216. Let l(s) = -w(s) + 12*y(s). Find n, given that l(n) = 0.
-2/5, 5, 6
Let p = -5542/5 + 39274/35. Factor 0 - 30/7*x**2 - p*x**3 + 12/7*x - 54/7*x**4.
-6*x*(x + 1)**2*(9*x - 2)/7
Let y = 6 + -5. Let u(p) = 6*p**2 + p + 1. Let f be u(y). Factor -f + 12 + 3*r**2 - 4*r - 5*r**4 - 4*r + r**5 + 7*r**3 - 2*r**2.
(r - 2)**2*(r - 1)**2*(r + 1)
Suppose -46*n = -42*n - 8. Factor 28*k + 3*k**3 + 2*k + 20 - 8 + 15*k**n - 6*k.
3*(k + 1)*(k + 2)**2
Let 1/3*m**4 + 0 - 2*m - 5/3*m**2 + 2/3*m**3 = 0. What is m?
-3, -1, 0, 2
Suppose -5*q + 24 = r, 3*r + q - 12 = 4. Let k be (3 - 6) + 15 + -3. Factor -4*x + 7*x + 7*x + k*x**2 - r*x.
3*x*(3*x + 2)
Let g(m) = -m**2. Suppose z + 5*o = 19, 2*o - 40 = 2*z + 3*z. Let f(d) = d**3. Let u(x) = z*f(x) + 3*g(x). Suppose u(l) = 0. Calculate l.
-1/2, 0
Let o be 6 - (3 - -1) - (-110)/(-80). Let b(s) be the second derivative of -10*s - 1/4*s**3 - 3/5*s**5 + 0*s**2 - 1/5*s**6 + 0 - o*s**4. Factor b(x).
-3*x*(x + 1)*(2*x + 1)**2/2
Let g(c) be the first derivative of c**6/8 + 7*c**5/5 - 33*c**4/16 - 61*c**3/6 + 21*c**2/2 + 10*c + 810. Find q, given that g(q) = 0.
-10, -2, -1/3, 1, 2
Let y(t) be the third derivative of 0*t + 0*t**4 - 2/15*t**7 + 0*t**3 - 2/15*t**5 + 5*t**2 + 0 + 3/10*t**6. Factor y(l).
-4*l**2*(l - 1)*(7*l - 2)
Let y(d) = -d**2 - 5. Let h(f) = 15*f**2 - 55*f + 10. Let u(p) = h(p) + 20*y(p). Suppose u(o) = 0. Calculate o.
-9, -2
Let q = -228 + 471/2. Let s = q - 7. Factor -1/3*u - 1/6*u**3 + 0 - s*u**2.
-u*(u + 1)*(u + 2)/6
Let z(j) be the third derivative of j**5/420 + j**4/168 + 2*j**2 - 6. Solve z(l) = 0.
-1, 0
Let u be (2/(-27))/(14/(-21)). Suppose 1/3*o**2 + u*o**3 + 1/9*o**5 - 1/3*o**4 - 2/9*o + 0 = 0. Calculate o.
-1, 0, 1, 2
Let m(t) = -17*t**2 + 21*t - 85. Let w(u) = 72*u**2 - 84*u + 339. Let k(a) = -21*m(a) - 5*w(a). Solve k(p) = 0 for p.
-10, 3
Let c(j) be the second derivative of -j**4/54 + 2*j**3/27 + 5*j**2/3 - 3*j + 27. Let c(b) = 0. What is b?
-3, 5
Let x(j) = -j**3 - j. Let k(b) = 0*b + 4*b**3 - b - 5*b**3 - b**2. Let p be 10/25 + 6/10. Let h(c) = p*x(c) - 2*k(c). Factor h(u).
u*(u + 1)**2
Let x(i) be the first derivative of i**3/15 + 9*i**2/10 - 19. Factor x(h).
h*(h + 9)/5
Let 2*v**4 - 57*v**5 - 8*v**2 - 48*v**5 + 109*v**5 + 4*v + 2*v**4 + 4 - 8*v**3 = 0. Calculate v.
-1, 1
Factor 1369/7 + 1/7*x**2 - 74/7*x.
(x - 37)**2/7
Solve -6/5 + 1/10*j**3 - 4/5*j**2 + 19/10*j = 0 for j.
1, 3, 4
Let m(o) = -9*o**3 + 2*o + 2. Let k be m(-1). Factor -4*n**3 + n**5 - 11*n**3 + k*n**3 + 14*n**2 + 3 - n**4 - 11*n.
(n - 1)**4*(n + 3)
Let d(n) = -3*n**2 - 9*n - 4. Let b(o) = 2*o**2 + 8*o + 3. Let g(w) = -6*b(w) - 5*d(w). Let u(z) = -7*z**2 + 6*z - 5. Let q(v) = 5*g(v) + 2*u(v). Factor q(r).
r*(r - 3)
Suppose -138/5*d**3 - 96/5 - 3/5*d**5 - 33/5*d**4 - 276/5*d**2 - 264/5*d = 0. What is d?
-4, -2, -1
Suppose 603 = 5*c - 382. Suppose 65 = -6*l + c. Factor -6*w + l*w**3 + 3*w - 37*w**3 - 12*w**2 - 6*w**4.
-3*w*(w + 1)**2*(2*w + 1)
Let n(h) be the third derivative of h**7/525 - h**6/60 - 7*h**5/75 + 126*h**2. Find l such that n(l) = 0.
-2, 0, 7
Solve -8*g**3 - 12*g**3 + 45 + 329*g**2 + 90*g - 304*g**2 = 0 for g.
-1, -3/4, 3
Suppose -5*l - 4 = -29. Determine t, given that -l*t**3 + 16*t**5 - 21*t**5 + 10*t**2 + 20*t**3 = 0.
-1, 0, 2
Let t(m) = -m**3 - m**2 - 2. Let z(q) = -4*q**3 - 32*q**2 - 247*q - 513. Let g(l) = 3*t(l) - z(l). Factor g(a).
(a + 3)*(a + 13)**2
Let a(b) be the first derivative of 5 + 7/2*b**2 - 1/6*b**3 - 7/96*b**4 - 1/120*b**5 + 1/480*b**6 + 0*b. Let k(n) be the second derivative of a(n). Factor k(s).
(s - 4)*(s + 1)**2/4
Suppose 49*b - 52*b = -7*x - 68, -3*x = -4*b + 40. Factor 2/3*w**3 + 0 + 4/3*w + 1/3*w**b - 7/3*w**2.
w*(w - 1)**2*(w + 4)/3
Let t(k) be the third derivative of -k**5/160 + 9*k**4/64 - 5*k**3/4 - 482*k**2. Factor t(b).
-3*(b - 5)*(b - 4)/8
Suppose 2*a = -3*a + 700. Let v = a - 53. Find u, given that 87 - v + u**2 = 0.
0
Let m(n) be the third derivative of -n**8/3360 + n**7/1260 - n**4/3 - 9*n**2. Let r(a) be the second derivative of m(a). Suppose r(l) = 0. Calculate l.
0, 1
Factor 56/13*d + 8/13 - 62/13*d**2 + 16/13*d**3.
2*(d - 2)**2*(8*d + 1)/13
Factor -13*o - 28*o + 2*o**3 - 20*o**2 - 37*o - 15 + 15.
2*o*(o - 13)*(o + 3)
Let c = -5883/4 + 1423. Let h = c + 48. Factor 1/4*t**4 + 1/4*t**5 + 0*t - h*t**2 - 1/4*t**3 + 0.
t**2*(t - 1)*(t + 1)**2/4
Let d = 1924 - 1918. Let z(x) be the third derivative of 0*x + 1/11*x**4 - 1/30*x**5 - 4/33*x**3 + 1/220*x**d + 7*x**2 + 0. Factor z(g).
2*(g - 2)*(g - 1)*(3*g - 2)/11
Let l be (4/(-30))/(112/(-20)). Let d(w) be the second derivative of -l*w**7 - 13/20*w**5 + w**4 - 2/3*w**3 + 0*w**2 + 1/5*w**6 - w + 0. Factor d(x).
-x*(x - 2)**2*(x - 1)**2
Let v(q) = 2*q**2 - 2*q - 2. Let l be v(2). Let j = -53387 + 53391. Determine x so that -24/5*x + 26/5*x**l + 8/5 + 2/5*x**j - 12/5*x**3 = 0.
1, 2
Let w(b) = -b**2 - 30*b - 22. Let q be w(-29). Suppose -14 + 14 = -q*r. Factor 0 + 0*x**4 + 0*x**2 + 1/6*x**3 + r*x - 1/6*x**5.
-x**3*(x - 1)*(x + 1)/6
Suppose 6 = -2*u - 4*p - 30, u + 33 = -5*p. Let t be 6/u - (-66)/24. Find a such that -8 - t*a + 15 - 7 + 2*a**3 = 0.
-1, 0, 1
Let j be (24/(-27))/(-6 - (-1379)/231). Factor -4/3*v**5 + 28/3*v**4 + j*v**2 - 24*v**3 - 52/3*v + 4.
-4*(v - 3)*(v - 1)**4/3
Suppose -5*q - 26 = -3*p, 4*p - 42 = 3*q - 0*q. Factor 16*u**3 - 12*u**3 + 4 + 4 - p*u.
4*(u - 1)**2*(u + 2)
Suppose 0 = l - 45 + 42. Let f be 5/l - (-1)/3. Factor -22/9*q + 2*q**f + 4/9.
2*(q - 1)*(9*q - 2)/9
Let y(b) be the second derivative of -2*b**6/15 - 7*b**5/5 - 65*b**4/12 - 25*b**3/3 + 190*b. Let y(o) = 0. What is o?
-5/2, -2, 0
Let p be 20/40 - (-5)/2. Suppose 10*q**p + 0 - 24*q**2 - 4*q + 22*q + 6 - 10 = 0. Calculate q.
2/5, 1
Let w(a) = -a**2 - 250*a + 241. Let x(t) = -2*t**2 - 252*t + 242. Let r(g) = -6*w(g) + 5*x(g). Factor r(f).
-4*(f - 59)*(f - 1)
Let l(y) = 3*y**4 + 22*y**3 - y**2 - 72*y + 52. Let j(p) = 3*p**4 + 21*p**3 - 72*p + 51. Let u(c) = -4*j(c) + 3*l(c). Determine i so that u(i) = 0.
-4, 1
Let v = 514 - 514. Let l(m) be the first derivative of -1/36*m**6 - 7 - 2/9*m**3 + v*m - 1/12*m**2 - 2/15*m**5 - 1/4*m**4. Factor l(a).
-a*(a + 1)**4/6
Solve -h**4 + 19*h + 19*h - 24*h**2 - 28*h - 10*h**3 + 25 = 0 for h.
-5, -1, 1
Let p(o) = 4*o**3 + 18*o**2 - 28*o - 44. Let s(z) = 4*z**3 + 17*z**2 - 26*z - 42. Let a(t) = -3*p(t) + 2*s(t). Find b such that a(b) = 0.
-6, -1, 2
Suppose -5*n + 10 = -0*n. Let -8*z**n - 41*z + 78*z + 4*z**3 - 33*z = 0. What is z?
0, 1
Let k = 25218 + -75652/3. Factor 2*y + 0 + 10/3*y**2 - 2/3*y**4 + k*y**3.
-2*y*(y - 3)*(y + 1)**2/3
Let r(n) be the third derivative of 2*n**7/945 + n**6/135 - n**4/27 - 2*n**3/27 + 49*n**2. Solve r(t) = 0 for t.
-1, 1
Let l(a) be the second derivative of -a**7/28 + 4*a**6/9 - 199*a**5/120 + 2*a**4/3 + 52*a**3/9 - 32*a**2/3 + a + 14. What is y in l(y) = 0?
-1, 8/9, 1, 4
Let n = -6/83 - -2176/249. Solve -10/3*b - 14/3*b**3 - 2/3 + n*b**2 = 0.
-1/7, 1
Let t be (-1 - (-1 - 4))*1/1. Suppose 0 = t*y + y - 15. Find o, given that 1/4*o + 1/2*o**2 + 0 + 1/4*o**y = 0.
-1, 0
Let m be (-2)/(12/15) + (-4848)/(-1664). Let i = m + -1/26. Factor i*r**2 - 27/8*r**5 + 15/8*r**3 + 0*r + 9/8*r**4 + 0.
-3*r**2*(r - 1)*(3*r + 1)**2/8
Let x(g) = 4*g**3