e third derivative of -2*q**7/105 + 31*q**6/30 - 29*q**5/15 - 31*q**4/6 + 20*q**3 - 349*q**2. Let k(i) = 0. Calculate i.
-1, 1, 30
Let u(j) be the third derivative of -j**7/126 - j**6/36 + 3*j**5/4 - 65*j**4/18 + 70*j**3/9 + 27*j**2. Suppose u(s) = 0. Calculate s.
-7, 1, 2
Let c be (-147)/14*(-3)/7. Let u = 133 - 130. Find o, given that 6 + c*o**4 - 21/2*o**2 - 6*o**u + 6*o = 0.
-1, -2/3, 1, 2
Let l = 58153/7 + -8307. Let 6/7*z**2 + 4/7*z**3 - 2*z**4 + 0*z + 0 + l*z**5 = 0. Calculate z.
-1/2, 0, 1, 3
Let i(d) be the first derivative of 3/5*d**5 - 1/2*d**6 - d**3 + 3/4*d**4 + 18 + 0*d**2 + 0*d. Determine n, given that i(n) = 0.
-1, 0, 1
Suppose 20 = 4*u, -2066*l - 2*u + 10 = -2067*l. Determine c so that 1/2*c - 1/2*c**4 + 3/2*c**3 - 3/2*c**2 + l = 0.
0, 1
Let x(o) = -o**3 + 20*o**2 + 82*o - 54. Let n be x(-4). Let g**4 - 1/3*g - 1/3*g**5 + 1 - 2*g**n + 2/3*g**3 = 0. Calculate g.
-1, 1, 3
Let s(v) be the second derivative of -v**6/30 + 39*v**5/10 - 1441*v**4/12 - 520*v**3 - 800*v**2 - 15*v - 6. Factor s(m).
-(m - 40)**2*(m + 1)**2
Let m(q) be the first derivative of q**5/5 + 2*q**4 + 7*q**3 + 11*q**2 + 8*q + 30. Solve m(g) = 0.
-4, -2, -1
Let -8/9*g**2 + 4/9*g + 8/9*g**4 + 0 - 1/3*g**5 - 1/9*g**3 = 0. What is g?
-1, 0, 2/3, 1, 2
Suppose 2*i + 28 = 3*r, -4*r + 36 = -3*i + i. Factor -8*t**2 + r - 36*t + 39*t**2 - 15*t**2.
4*(t - 2)*(4*t - 1)
Let u(q) = -13*q**4 - 33*q**3 + 37*q**2 + 11*q. Let f(o) = -220*o**4 - 560*o**3 + 630*o**2 + 185*o. Let a(g) = 2*f(g) - 35*u(g). Factor a(n).
5*n*(n - 1)*(n + 3)*(3*n + 1)
Let h = -483 - -495. Let q(k) be the first derivative of -7 - h*k**2 + 36*k + 4/3*k**3. Solve q(t) = 0.
3
Factor -12/7*u**2 + 60/7*u**3 + 24/7*u**5 - 68/7*u**4 - 4/7*u + 0.
4*u*(u - 1)**3*(6*u + 1)/7
Suppose -40 - 20*f + 9*f**3 - 2*f**2 - 4*f**3 - 12*f - 3*f**3 = 0. Calculate f.
-2, 5
Let x(f) be the second derivative of 0 + 1/2*f**3 - 1/12*f**4 - 17*f + 0*f**2. Factor x(o).
-o*(o - 3)
Let s(y) = -7*y + 1. Let c be s(-5). Factor c*t**4 + 4 + 0*t**2 + 48*t**3 - 8*t**2 + 198*t - 214*t.
4*(t + 1)**2*(3*t - 1)**2
Let k(n) be the third derivative of 0 - 2/75*n**5 - 1/1050*n**7 - 1/30*n**4 - 1/120*n**6 + 0*n + 0*n**3 - 24*n**2. Solve k(y) = 0.
-2, -1, 0
Let a(x) be the second derivative of x**5/10 + 7*x**4/2 - 46*x**3/3 - 12*x. Determine o so that a(o) = 0.
-23, 0, 2
Let -36/7*p + 64/7 + 2/7*p**2 = 0. What is p?
2, 16
Let d(f) be the second derivative of f**6/180 + f**5/18 + f**4/12 - f**3 - f**2 - 12*f. Let j(w) be the first derivative of d(w). Find r such that j(r) = 0.
-3, 1
Let t(y) be the third derivative of 5/42*y**7 + 7/12*y**6 + 7/12*y**5 - 11*y**2 + 0*y**3 + 0*y - 5/12*y**4 + 0. Factor t(p).
5*p*(p + 1)*(p + 2)*(5*p - 1)
Determine i so that 1/2*i**2 + 3249/2 - 57*i = 0.
57
Let l(x) be the third derivative of -1/3*x**3 + 0*x + 6*x**2 + 0*x**4 + 1/120*x**5 + 0. Factor l(r).
(r - 2)*(r + 2)/2
Let s(f) be the third derivative of f**8/320 + 3*f**7/280 - f**6/20 - f**5/10 - 19*f**4/24 - 11*f**2. Let c(w) be the second derivative of s(w). Factor c(b).
3*(b - 1)*(b + 2)*(7*b + 2)
Suppose 0*b + 0 - 741/5*b**3 - 498/5*b**2 + 9/5*b**4 = 0. Calculate b.
-2/3, 0, 83
Find r, given that 22/5*r**2 + 144/5 - 132/5*r - 2/5*r**4 + 8/5*r**3 = 0.
-4, 2, 3
Let x(d) be the second derivative of 3/2*d**3 + d**4 + 0 + 8*d - 3/20*d**5 - 27*d**2. Factor x(o).
-3*(o - 3)**2*(o + 2)
Suppose -13*a + 3*a - 20*a = -5*a. Solve 0 + a*h**2 - 26/9*h**3 + 2/9*h - 8/3*h**4 = 0 for h.
-1, -1/3, 0, 1/4
Let s = -124 + 128. Determine r so that -s*r**4 + 5*r**3 - r**3 + r**3 + 9*r**4 = 0.
-1, 0
Suppose p - 6*p = 2*h + 23, 2*p - 43 = 5*h. Let f = -7 - h. Factor 2/9*g**4 - 2/3*g**3 - 4/9 + 2/3*g + 2/9*g**f.
2*(g - 2)*(g - 1)**2*(g + 1)/9
Let c be (-4 + (-130)/(-32))/((-2)/(-18)). Let d = c + -1/16. Find t, given that -1/4 - d*t - 1/4*t**2 = 0.
-1
Suppose -k - 4 = -8. Factor 8*b - 2 - k + 6*b**2 - 8*b**2.
-2*(b - 3)*(b - 1)
Let p(v) = v**3 - 5*v**2 + 8*v - 8. Let k(m) = -m**3 + 5*m**2 - 8*m + 7. Let d(h) = -4*k(h) - 3*p(h). Suppose d(j) = 0. What is j?
1, 2
Let s be 4151/28*(-4)/5 + -3. Let i = s + 122. Determine x, given that 0 + i*x**4 - 2/5*x**2 - 2/5*x + 2/5*x**3 = 0.
-1, 0, 1
Let m be (-503 - 0)/((-1 + 4)/(-3)). Let 587*b + 588*b**2 - m*b + 5 - 2 = 0. Calculate b.
-1/14
Suppose -x - 3*b - 3 = 0, 0 = -b - 0 - 2. Suppose 400*t**x - 80 + 289*t - 105*t**4 + 15*t**5 - 600*t**2 - 20*t**4 - 53*t + 164*t = 0. What is t?
1/3, 2
Suppose 127*g - 3*g + 77 = 325. Factor -58/3*o**g - 14/3 - 65/3*o - 7/3*o**3.
-(o + 1)*(o + 7)*(7*o + 2)/3
Let k(w) be the third derivative of 5*w**8/672 + 89*w**7/84 + 2191*w**6/48 + 3137*w**5/8 + 2625*w**4/2 + 2205*w**3 + 998*w**2. What is f in k(f) = 0?
-42, -3, -1
Let x(z) be the second derivative of z**4/54 - 14*z**3/9 + 49*z**2 - 17*z. What is q in x(q) = 0?
21
Let b(k) be the second derivative of -k**7/7980 + k**6/1710 + k**5/380 - 7*k**3 - 25*k. Let u(y) be the second derivative of b(y). Solve u(l) = 0.
-1, 0, 3
Let i = -50 - -22. Let j = 31 + i. Let -1/4*h**4 + 1/2*h**2 + 0*h - 1/4 + 0*h**j = 0. Calculate h.
-1, 1
Let x = -30410 - -60821/2. Factor x*b**4 + 11/2*b + 3*b**3 - 3/2 - 7*b**2 - 1/2*b**5.
-(b - 1)**4*(b + 3)/2
Let m(z) = -8*z**3 - 29*z**2 - 69*z - 43. Let x(n) = -11*n**3 - 44*n**2 - 104*n - 64. Let w(k) = 7*m(k) - 5*x(k). Factor w(s).
-(s - 19)*(s + 1)**2
Solve -68*v**2 - 1/2*v**5 + 88 - 17/2*v**4 - 40*v + 52*v**3 = 0.
-22, -1, 2
Suppose 3*m + 6*w - 5*w = 12, 0 = -3*w + 9. Suppose -4*a + 0*b = 3*b - 28, -3*a - b = -16. Factor 0 - 1/8*i**a - 3/8*i**2 + 3/8*i**m + 1/8*i.
-i*(i - 1)**3/8
Let u(x) be the first derivative of x**4/60 + x**3/10 - 11*x + 9. Let v(c) be the first derivative of u(c). Factor v(j).
j*(j + 3)/5
Let a = 5 - 5. Let c(s) = -s**3 + 0*s**2 + 1 - 4*s**2 + 3*s**2 - s + a. Let f(r) = 2*r**4 - 3*r**3 + r**2 + r - 1. Let y(t) = c(t) + f(t). Factor y(b).
2*b**3*(b - 2)
Let a(l) = l**2 - l + 1. Let y be 1 + 1 + -3 + -5. Let b(x) = -2*x**2 - x. Let g = -281 + 279. Let m(w) = g*b(w) + y*a(w). Find o, given that m(o) = 0.
1, 3
Let s(k) be the third derivative of 2*k**7/735 + 2*k**6/35 + 4*k**5/105 - 32*k**4/7 + 512*k**3/21 + 5*k**2 - 12. Factor s(d).
4*(d - 2)**2*(d + 8)**2/7
Let j(v) be the third derivative of v**6/30 + v**5/3 + 2*v**4/3 + 37*v**2. Solve j(h) = 0.
-4, -1, 0
Let d(m) be the third derivative of 0*m**3 - 1/210*m**7 + 0 + 0*m**4 + 0*m + 0*m**5 + 1/60*m**6 - 38*m**2. Find j such that d(j) = 0.
0, 2
Let i(a) be the third derivative of -1/2*a**3 - 1/1080*a**6 + 1/180*a**5 + 0*a - 1/72*a**4 - 4*a**2 + 0. Let u(t) be the first derivative of i(t). Factor u(j).
-(j - 1)**2/3
Let q(d) be the first derivative of -4*d**5 + 10*d**4/3 - 5*d**3/6 + 21*d + 7. Let z(n) be the first derivative of q(n). Factor z(x).
-5*x*(4*x - 1)**2
Let n = -14 - -18. Factor -2*f**3 + 0*f - 5*f**2 + n*f**2 + f + f**3 + 1.
-(f - 1)*(f + 1)**2
Find n, given that -12/5*n + 1/5*n**5 + 11/5*n**2 + 4/5 - 3/5*n**4 - 1/5*n**3 = 0.
-2, 1, 2
Let d = -31 - -43. Suppose t - 3*t = -3*s + d, 0 = 4*t. Suppose 0 - 2/13*c + 20/13*c**s - 24/13*c**3 - 6/13*c**5 + 12/13*c**2 = 0. Calculate c.
0, 1/3, 1
Let p be (-6)/(((-25)/((-300)/(-72)))/(-2 - -4)). Factor -1/2*b**3 + 3/2 + 1/2*b**p + 5/2*b.
-(b - 3)*(b + 1)**2/2
Let a(w) be the first derivative of -w**7/735 + w**5/105 - w**3/21 - 3*w**2/2 - 8. Let b(y) be the second derivative of a(y). Suppose b(r) = 0. Calculate r.
-1, 1
Let l(x) = -x**3 + x**2 - 2. Let v(m) = -6*m**3 - 63*m**2 + 3*m + 60. Let c(d) = -15*l(d) - v(d). Let c(j) = 0. Calculate j.
-2, -1, 5/7
Solve -3*k**2 + 21/8*k**3 - 9/2*k + 3/4*k**4 - 3/8*k**5 + 0 = 0.
-2, -1, 0, 2, 3
Let q(g) be the third derivative of -1/1008*g**8 + 0 + 0*g**6 - 1/90*g**5 + 13*g**2 + 1/72*g**4 + 0*g**3 + 1/315*g**7 + 3*g. Solve q(o) = 0 for o.
-1, 0, 1
Let f be (-11)/28 + 2/14. Let k = 17/36 + f. Factor 0 - k*d + 4/9*d**2 - 2/9*d**3.
-2*d*(d - 1)**2/9
Let q(m) be the second derivative of m**7/231 - m**6/55 + 3*m**5/110 - m**4/66 - 30*m. Factor q(b).
2*b**2*(b - 1)**3/11
Let i(g) be the second derivative of g**4/102 - 380*g**3/51 + 36100*g**2/17 - 4*g + 18. Factor i(r).
2*(r - 190)**2/17
Suppose f + 1/3*f**4 - f**3 + 4/3 - 5/3*f**2 = 0. What is f?
-1, 1, 4
Let l be (-5)/60 + (2 - (-69)/(-36)). Factor -2/5*a**2 + 2/5 + l*a.
-2*(a - 1)*(a + 1)/5
Let n(d) be the second derivative of d**4/