 l**2 - 38 + 34. Let s(m) = -2*m**2 - 27*m - 11. Let f(y) = 2*s(y) - 7*x(y). Solve f(k) = 0 for k.
-2, -1
Let r = -7/2 - -65/18. Let s(h) be the third derivative of -2*h**2 + 0*h - 1/24*h**4 + 0 + 1/360*h**6 - r*h**3 + 0*h**5. Factor s(x).
(x - 2)*(x + 1)**2/3
Suppose -5*h - 1 + 20 = 2*m, 0 = -4*m - 4*h + 20. Suppose 5*n = -5*d, -1 - 11 = 3*d. Suppose f - 4*f**m + 2*f**2 + f - n*f**2 = 0. Calculate f.
0, 1/3
Let y(g) be the third derivative of 0*g + 0*g**5 + 0*g**4 + 0 - 22*g**2 - 1/540*g**6 + 0*g**3. Determine r so that y(r) = 0.
0
Let y(x) = -505*x**3 - 1770*x**2 - 1505*x - 420. Let p(t) = -46*t**3 - 161*t**2 - 137*t - 38. Let q(j) = -45*p(j) + 4*y(j). Suppose q(a) = 0. Calculate a.
-2, -1, -3/10
Let z = 553 - 550. Let s(k) be the second derivative of 1/30*k**4 + 2/5*k**2 + 0 + 1/25*k**5 + 2*k - 1/3*k**z. Determine x, given that s(x) = 0.
-2, 1/2, 1
Let j = 29/38 - 5/19. Factor 2 - 2*k + j*k**2.
(k - 2)**2/2
Find g such that 720*g**2 + 8*g**4 + 0*g**4 + 156*g**3 - 565*g + 165*g = 0.
-10, 0, 1/2
Factor 4*g - 63/4 - 1/4*g**2.
-(g - 9)*(g - 7)/4
Suppose 54*l - 22*l = 0. Let o(d) be the first derivative of 1/6*d**2 + 1/18*d**6 - 7 + 0*d + 0*d**5 - 1/6*d**4 + l*d**3. Factor o(w).
w*(w - 1)**2*(w + 1)**2/3
Let q(s) = -s**3 - 4*s**2 - 7*s - 58. Let g be q(-5). Let i(d) be the first derivative of 2 - 2/3*d**3 + 2*d + 0*d**g. Factor i(a).
-2*(a - 1)*(a + 1)
Let k(i) be the third derivative of 2*i**7/105 + i**6/60 - i**5/15 - i**4/12 - i**2 + 46*i. What is l in k(l) = 0?
-1, -1/2, 0, 1
Let d = -139 - -60. Let y = -53 - d. Factor 11*x**2 + 12*x**4 + 11*x + y*x**3 + 13*x**2 + 2*x**5 - 3*x.
2*x*(x + 1)**2*(x + 2)**2
Suppose -3*t - m = 3*m - 10, -2*t = 2*m - 10. Suppose 6 = 2*w - 2*x, -4*w + 2*x + t = -3*x. Factor 1/5*c + 6/5*c**3 + 4/5*c**4 + 1/5*c**w + 4/5*c**2 + 0.
c*(c + 1)**4/5
Let h(x) = -x**4 - 6*x**3 + 23*x**2 - 2*x - 36. Let i(n) = 3*n**4 + 18*n**3 - 67*n**2 + 5*n + 108. Let p(t) = -14*h(t) - 4*i(t). Factor p(q).
2*(q - 2)**2*(q + 1)*(q + 9)
Find s, given that -15/2*s - 1/2*s**2 + 38 = 0.
-19, 4
Factor -2913/7*v**2 - 2704/7 - 5512/7*v - 106/7*v**3 - 1/7*v**4.
-(v + 1)**2*(v + 52)**2/7
Let m = -156 - -138. Let z be (5/(-8))/(-1 + m/(-24)). Factor -1 - 6*b**3 + 2*b**2 + z*b.
-(2*b - 1)**2*(3*b + 2)/2
Suppose 28561/5 + 1/5*j**2 - 338/5*j = 0. Calculate j.
169
Find h, given that 164/5*h**3 + 16/5*h**4 + 196/5*h + 32/5 + 312/5*h**2 = 0.
-8, -1, -1/4
Let f(u) = 23*u**2 + 53*u - 8. Suppose 0 = -14*q + 11 - 53. Let p(j) = 8*j**2 + 18*j - 3. Let r(i) = q*f(i) + 8*p(i). Factor r(x).
-5*x*(x + 3)
Let j(k) = -k**3 + k**2 - k - 1. Let f(i) = 3*i**3 - 3*i**2 + 4*i + 4. Let p = 60 + -56. Let m(d) = p*j(d) + f(d). Factor m(c).
-c**2*(c - 1)
Let c = 115 - 105. Let q(k) = -44*k + 1. Let d be q(-1). Determine a, given that -42*a**3 + 6*a - c*a**2 + d*a**3 + a**2 = 0.
0, 1, 2
Let c be 430/(-180) - 50/(-20). Let v(i) be the first derivative of -c*i**6 + 2/9*i**3 + 1/6*i**4 + 0*i - 5 + 0*i**2 - 2/15*i**5. Find w, given that v(w) = 0.
-1, 0, 1
Let f(s) be the third derivative of s**7/1155 + s**6/110 + 3*s**5/110 + s**4/33 - 219*s**2 + 1. Factor f(d).
2*d*(d + 1)**2*(d + 4)/11
Let i(y) be the second derivative of 3*y**7/70 + y**6/5 - 9*y**5/20 - 3*y**4/2 - 4*y**3/5 + 90*y. Find p such that i(p) = 0.
-4, -1, -1/3, 0, 2
Let a(p) be the third derivative of -p**5/60 + p**3/6 + 6*p**2. Let s = 3 - 4. Let c(r) = -4*r**2 - 2*r + 6. Let x(y) = s*c(y) + 2*a(y). Solve x(h) = 0 for h.
-2, 1
Let s = -11 + 7. Let n = 7 + s. Let 20*v**4 + v**2 + 3*v**2 + 0*v**4 + 8*v**5 + 16*v**n = 0. Calculate v.
-1, -1/2, 0
Let n(m) = -2*m**3 - 4*m**2 + 13*m - 10. Let j be n(-4). Let s be (-4)/(-14) - (-2)/(-7). Factor 4*q**2 - 3/2*q**3 - 9/2*q**4 + s + j*q.
-q*(q - 1)*(3*q + 2)**2/2
Let t(d) be the second derivative of -d**7/84 - d**6/5 - 7*d**5/5 - 16*d**4/3 - 12*d**3 - 16*d**2 + 78*d. Suppose t(k) = 0. What is k?
-4, -2
Factor 1 - 2*v**3 + 3295*v - 3293*v - v**2 + 0.
-(v - 1)*(v + 1)*(2*v + 1)
Let f = -12 + 16. Suppose 5 = 3*r - 4. Factor 4*g**2 + 5*g**f - g**4 + 7*g**r + g**3.
4*g**2*(g + 1)**2
Determine g, given that -20 - 34/3*g - 2/3*g**2 = 0.
-15, -2
Let t(a) be the third derivative of a**7/70 + 7*a**6/40 + 35*a**2. Factor t(p).
3*p**3*(p + 7)
Let u be 13/117 + (-49)/(-126). Find i, given that 1/6*i**3 + i**2 - 5/3 + u*i = 0.
-5, -2, 1
Let y(r) be the first derivative of -r**6/24 - 7*r**5/20 - 15*r**4/16 - 3*r**3/4 + 3. Factor y(d).
-d**2*(d + 1)*(d + 3)**2/4
Let d(k) = 27*k**2 + 18*k + 15. Let n(j) = -11*j**2 + 167 + 179 - 7*j - 352. Suppose 3*i = i + 24. Let v(t) = i*n(t) + 5*d(t). What is x in v(x) = 0?
-1
Suppose -31*a - 80 = -36*a. Let k be a/6 + 3/9. Factor -1/2*o**2 + 0 + 1/2*o**4 - 1/2*o + 1/2*o**k.
o*(o - 1)*(o + 1)**2/2
Let l(r) be the second derivative of 2*r**7/21 + 4*r**6/3 + 39*r**5/5 + 74*r**4/3 + 136*r**3/3 + 48*r**2 + 2*r + 14. Solve l(d) = 0.
-3, -2, -1
Let l be (-2)/((3/(-15))/(18/60)). Let q(s) be the third derivative of -1/8*s**4 + 0*s**l + 0 - 1/60*s**5 + 0*s + 7*s**2. Factor q(i).
-i*(i + 3)
Suppose -65*i**5 - 2*i**4 + 70*i**5 + 5*i**3 - 8*i**4 = 0. What is i?
0, 1
Let i(g) be the first derivative of g**3/15 + g**2/5 + g/5 - 116. Factor i(k).
(k + 1)**2/5
Suppose -50*c - 85*c - 97 + 502 = 0. Solve 0 - 1/6*t**5 + 0*t**c + 1/6*t + 1/3*t**4 - 1/3*t**2 = 0.
-1, 0, 1
Find m such that -336/13*m**3 - 26*m**2 + 2/13*m**4 + 0*m + 0 = 0.
-1, 0, 169
Let u(x) be the first derivative of x**6/6 - 8*x**5/25 - x**4/5 + 2*x**3/3 - x**2/10 - 2*x/5 - 65. Factor u(h).
(h - 1)**3*(h + 1)*(5*h + 2)/5
Let k(g) = 2*g**2 - 22*g - 20. Suppose -54 = -4*u - 6. Let w be k(u). Factor 0*o**3 - 3/4*o**5 + 0 + 0*o - 1/2*o**w + 0*o**2.
-o**4*(3*o + 2)/4
Let i(m) be the third derivative of m**5/20 + 19*m**4/4 + 361*m**3/2 - 2*m**2. Factor i(f).
3*(f + 19)**2
Factor 1/5*w**2 + 0 + 61/5*w.
w*(w + 61)/5
Let d be ((-22933)/(-150))/(-17) + 9. Let c(g) be the second derivative of 4*g - 1/20*g**5 + 0 + 2/15*g**3 + d*g**6 - 4/5*g**2 + 1/10*g**4. Factor c(a).
(a - 2)**3*(a + 1)/5
Determine k so that -2/3*k**5 + 12 + 8/3*k**4 - 44/3*k**2 - 2*k + 8/3*k**3 = 0.
-2, -1, 1, 3
Let v(w) be the third derivative of w**9/5040 + w**8/448 + w**7/280 - 3*w**6/80 - 11*w**4/8 - 14*w**2. Let m(x) be the second derivative of v(x). Factor m(p).
3*p*(p - 1)*(p + 3)**2
Suppose 245/2*a + 30 + 100*a**2 + 15/2*a**3 = 0. What is a?
-12, -1, -1/3
Let j be (-30 - -15)*4/(-20). Let p be (-1)/(-4) - (-2)/56. Factor -p*q + 0 + 2/7*q**j - 2/7*q**2 + 2/7*q**4.
2*q*(q - 1)*(q + 1)**2/7
Factor 12*h**2 + 6*h**2 + 6*h**3 - 15*h**2 + 6*h**3.
3*h**2*(4*h + 1)
Let n(v) be the third derivative of 0*v + 4/3*v**3 - 5/12*v**4 + 0 - 15*v**2 + 1/30*v**5. Factor n(b).
2*(b - 4)*(b - 1)
Let 7/4*f**2 + 3/4*f**5 + 17/4*f**4 + 27/4*f**3 + 0 - 3/2*f = 0. What is f?
-3, -2, -1, 0, 1/3
Suppose 0 = y - 5*t + 5, -2*y - 15 = -7*y + 5*t. Let z = 4 + -2. Suppose -30*s**3 + 3*s**4 + z*s**5 - 3*s**2 + 33*s**3 - y*s**5 = 0. What is s?
-1, 0, 1
Suppose -91 + 36 = -11*s. Let x be (-40)/(-32)*2/s. Factor 1/2*u - 1/4*u**4 - x*u**3 + 1/4*u**2 + 0.
-u*(u - 1)*(u + 1)*(u + 2)/4
Suppose 0 = 1456*f - 1482*f. Suppose 0 = 4*v - 2*v - 6. Solve f*b + 2/3*b**2 + 0*b**v - 2/3*b**4 + 0 = 0.
-1, 0, 1
Factor 393*o**3 - 388*o**3 + 70*o**2 - 15*o**2 + 150*o.
5*o*(o + 5)*(o + 6)
Let d(v) be the second derivative of 0*v**2 + 0*v**3 - 10*v + 0 + 1/60*v**6 + 1/6*v**4 - 1/8*v**5. Factor d(y).
y**2*(y - 4)*(y - 1)/2
Determine m, given that 1/2*m**3 - 13/2*m**5 + 6*m - 1/4 - 51/4*m**4 + 13*m**2 = 0.
-1, 1/26, 1
Factor -8/3*y - 5/3*y**2 - 1/3*y**3 - 4/3.
-(y + 1)*(y + 2)**2/3
Let a(r) be the third derivative of r**8/336 + r**7/42 + r**6/20 - r**5/30 - 7*r**4/24 - r**3/2 - 6*r**2 - 2. Determine x, given that a(x) = 0.
-3, -1, 1
Suppose 15/2*f**2 + 36*f + 1/2*f**3 + 54 = 0. What is f?
-6, -3
Factor -27*q**3 - 96 + 41*q**2 + 9*q**2 + 3*q**4 - 17*q**2 + 31*q**2 + 2*q**2.
3*(q - 4)**2*(q - 2)*(q + 1)
Factor -63/5 - 15*c - 9/5*c**2 + 3/5*c**3.
3*(c - 7)*(c + 1)*(c + 3)/5
Let f(b) be the third derivative of -b**8/784 - b**7/98 - b**6/35 - b**5/35 + 8*b**2. Factor f(d).
-3*d**2*(d + 1)*(d + 2)**2/7
Let r = 34 + -7. Let p**2 - 6*p**4 - 13*p**2 + 36*p**3 + r*p**4 = 0. What is p?
-2, 0, 2/7
Factor -5*g**2 - 9*g - 3*g + 0*g + 13 + 4*g**2.
-(g - 1)*(g + 13)
Let c = 21837/7 - 3119. Factor c*d + 0 + 2/7*d**