 Let s be i(-7). Let o be m(s). What is u in 2/3*u**2 - 2/3*u**3 + 4/3*u + o = 0?
-1, 0, 2
Let m be ((-2)/(-6))/(9/135). Factor -5*j + 12*j**2 + m*j + 3*j**3 + 9*j + 3*j.
3*j*(j + 2)**2
Let n(m) be the second derivative of m**5/15 + m**4 + 6*m**3 + 6*m**2 - 12*m. Let w(u) be the first derivative of n(u). Solve w(a) = 0 for a.
-3
Let h(a) be the first derivative of -1 + 1/12*a**4 + 1/9*a**3 + 0*a**2 + 0*a. Factor h(u).
u**2*(u + 1)/3
Determine l, given that 36*l - 150*l**2 - 21/2*l**4 + 0 + 87*l**3 = 0.
0, 2/7, 2, 6
Let g(c) be the second derivative of 2*c**6/15 + 13*c**5/5 + 11*c**4 - 154*c**3/3 - 196*c**2 - 10*c - 2. Find j such that g(j) = 0.
-7, -1, 2
Let x = 11171 - 11168. What is z in 8/5*z + 12/5*z**2 + 0 + 4/5*z**x = 0?
-2, -1, 0
Let r(h) be the first derivative of h**8/840 - h**7/175 + h**6/100 - h**5/150 + 5*h**2 - 25. Let u(j) be the second derivative of r(j). Solve u(v) = 0 for v.
0, 1
Let l(s) = 3*s - 18. Let g be l(3). Let t be (-2)/g - (-32)/(-144). Suppose 0 + 0*c + 0*c**3 - 3/4*c**5 + 3/4*c**4 + t*c**2 = 0. Calculate c.
0, 1
Suppose 5*g - 30 = -5*y + 15, 4*g - 2*y - 6 = 0. Let r(u) be the second derivative of 1/10*u**5 + 7/30*u**g - 8/15*u**3 - 4/5*u**2 + 0 - 4*u. Factor r(v).
2*(v - 1)*(v + 2)*(5*v + 2)/5
Let u be ((-38)/(-4) - 2)*(-4)/(-6). Suppose 2*b = u*v - 1 - 13, -v + 12 = -5*b. Factor 0 - 1/7*s**3 - 1/7*s - 2/7*s**v.
-s*(s + 1)**2/7
Let b(i) be the second derivative of i**7/21 - 18*i**6/35 + 131*i**5/70 - 8*i**4/3 + 4*i**3/7 + 16*i**2/7 - 446*i. Suppose b(m) = 0. What is m?
-2/7, 1, 2, 4
Let o(c) = c**3 - 5*c**2 - 6*c + 48. Let g(f) = f. Let k(u) = 2*g(u) - o(u). Solve k(n) = 0.
-3, 4
Find r such that -74/3 + 2/3*r**2 - 24*r = 0.
-1, 37
Let n = -9778/77 - -1400/11. Find u, given that n*u**2 + 2/7*u + 0 = 0.
-1, 0
Let y = 0 - -2. Let b = 77 + -73. What is k in -14*k - b*k**y + 5*k + 25*k = 0?
0, 4
Let w(k) be the first derivative of -k**9/4536 + k**8/1260 - 7*k**3 - 31. Let l(n) be the third derivative of w(n). Find o such that l(o) = 0.
0, 2
Suppose 0 = t + 12 + 23. Let g be (868/t)/((-4)/10). Factor -3*c**3 + g + 3*c**2 - 3*c**4 - 62 + 3*c**5.
3*c**2*(c - 1)**2*(c + 1)
Factor 5*p**2 - 82*p + 176*p - 72*p - 72*p + 105.
5*(p - 7)*(p - 3)
Suppose -163 = 3*g - 160. Let v be 2*((-1)/2 - g) + 3. Factor 2*s**3 + 6/5*s**v - 18/5*s**5 + 0*s + 0 + 2/5*s**2.
-2*s**2*(s - 1)*(3*s + 1)**2/5
Let l(f) be the third derivative of f**6/360 - f**4/24 - f**3/9 - 15*f**2 + 8. Determine d, given that l(d) = 0.
-1, 2
Let s be (-742)/(-42) + (-4)/6. Suppose -o = 2*x + 3*x - 7, x - 5*o = s. Determine r, given that -2/3*r**x - 8/3*r - 8/3 = 0.
-2
Suppose 0 = 2*l - 6*l. Let v(o) be the second derivative of 2/15*o**3 - 4/75*o**6 + 8*o + l - 11/50*o**5 + 0*o**2 - 1/6*o**4. Solve v(q) = 0 for q.
-2, -1, 0, 1/4
Suppose -59*c = -102*c - 255*c. Factor u - 1/2*u**2 + c.
-u*(u - 2)/2
Let m(i) be the first derivative of -2*i**5/15 - 13*i**4/12 - 7*i**3/3 - i**2/3 + 8*i/3 + 768. Find s, given that m(s) = 0.
-4, -2, -1, 1/2
Let p = -2 - 22. Let b = -4 - p. Let 181*x**3 + 225*x**2 + 265*x**3 - 41*x**3 + b - 160*x = 0. Calculate x.
-1, 2/9
Let k(v) be the third derivative of -v**8/560 + v**6/120 - v**3 + 12*v**2. Let j(q) be the first derivative of k(q). Factor j(z).
-3*z**2*(z - 1)*(z + 1)
Let m(c) be the second derivative of c**6/165 + c**5/220 - 2*c + 61. Determine z, given that m(z) = 0.
-1/2, 0
Let g(x) be the second derivative of x**8/2100 - x**6/450 + 11*x**3/2 + 39*x. Let y(l) be the second derivative of g(l). Solve y(v) = 0 for v.
-1, 0, 1
Let x = -46 - -53. Suppose x*r - 1 = 27. Solve -2/7*i**r + 2/7*i**2 + 0*i**3 + 0 - 1/7*i + 1/7*i**5 = 0 for i.
-1, 0, 1
Let o(w) be the first derivative of w**7/840 - w**6/120 - w**5/240 + w**4/24 - 11*w**2/2 - 20. Let f(s) be the second derivative of o(s). Factor f(c).
c*(c - 4)*(c - 1)*(c + 1)/4
Suppose -24/17*f**2 + 4/17*f**4 + 22/17*f**3 + 0 + 0*f - 2/17*f**5 = 0. What is f?
-3, 0, 1, 4
Let y(h) = 7*h**3 + 34*h**2 + 5*h - 30. Let f(i) = 27*i**3 + 135*i**2 + 18*i - 120. Let r(o) = 4*f(o) - 15*y(o). Factor r(q).
3*(q - 1)*(q + 1)*(q + 10)
Let f(t) be the first derivative of -7*t**3/3 - 337. Let y(s) be the first derivative of -2*s**3 - 1. Let q(b) = 5*f(b) - 6*y(b). Factor q(h).
h**2
Suppose i = 7 + 1. Factor -4*u**2 + 6*u - 4 - 100*u**5 - 8*u**3 + 4*u + i*u**4 + 98*u**5.
-2*(u - 2)*(u - 1)**3*(u + 1)
Suppose 2*z**4 - 554*z**3 + 24*z + 20*z**2 - 24*z**2 + 546*z**3 + 18 = 0. Calculate z.
-1, 3
Let k(q) be the second derivative of q**4/42 + 16*q**3/7 - 7*q**2 - 22*q - 7. Factor k(v).
2*(v - 1)*(v + 49)/7
Suppose 4*q + 48 = 2*q. Let d = 28 + q. Find o such that 131/4*o**3 - 49*o**5 - 1 + 10*o + 28*o**d - 133/4*o**2 = 0.
-1, 2/7, 1/2
Suppose -15 = -3*t - 3. Let c = 8 - t. Suppose 2*j**2 - c*j + 0*j**5 + 2*j**3 + 4*j - 2*j**4 - 2*j**5 = 0. What is j?
-1, 0, 1
Let v = 82 - 80. Factor -3*w**v + 13*w - 35 + 17*w + 4*w**2 + 4*w**2.
5*(w - 1)*(w + 7)
Let l be 4/12 - (2/(-3))/1. Find g such that 8*g**3 + 6*g**5 + l - 4*g - 10*g**5 + 8*g**2 - 4*g**4 - 5 = 0.
-1, 1
Suppose 2*q - 24 + 6 = 0. Factor q*t**2 + 8*t**2 + 9 - 2*t**2 - 18*t - 6*t.
3*(t - 1)*(5*t - 3)
Let b(r) = r - 1. Let s be b(4). Suppose 4*w - 4*n - 30 = -w, -4*w + s = n. Let -3/2*y**w + 3 - 3/2*y = 0. Calculate y.
-2, 1
Let h(q) be the first derivative of q**9/18144 - q**7/2520 + q**5/720 - 2*q**3/3 - 5*q**2/2 + 7. Let t(o) be the third derivative of h(o). Factor t(u).
u*(u - 1)**2*(u + 1)**2/6
Let a(h) = -h**2 - h + 2. Let j(v) = -v**3 + 3*v**2 - v + 2. Let t(b) = -5*a(b) + 5*j(b). Determine d, given that t(d) = 0.
0, 4
Let v(k) be the second derivative of -3*k**5/80 + 9*k**4/16 + 11*k**3/4 - 141*k. Determine f so that v(f) = 0.
-2, 0, 11
Suppose -2*j + 5*n + 8 = -13, -5*n = 5. Let l = 10 - j. Factor -4*g**l + g**4 + 2*g**2 + g**2.
g**2*(g - 1)*(g + 1)
Let l(y) be the third derivative of y**5/60 - y**4/18 - 10*y**3/9 - 211*y**2. Factor l(h).
(h + 2)*(3*h - 10)/3
Let q(f) be the second derivative of 11/48*f**4 - 1/4*f**2 + 0 - 11*f - 5/24*f**3 - 1/20*f**5. Factor q(h).
-(h - 2)*(h - 1)*(4*h + 1)/4
Let y(n) be the second derivative of n**4/16 + n**3/4 - 9*n**2 - 62*n. Factor y(x).
3*(x - 4)*(x + 6)/4
Find r, given that -8*r**5 - 60*r**2 - 13*r**5 - 45*r**4 - 4*r**5 + 30*r**5 + 100*r**3 = 0.
0, 1, 2, 6
Let a = 147551/59022 - -2/29511. Solve -a*m**4 + 0 + 5/2*m - 15/2*m**2 + 15/2*m**3 = 0 for m.
0, 1
Let w(t) be the first derivative of 2*t**5/5 + 11*t**4 - 50*t**3/3 - 46*t**2 - 539. Factor w(a).
2*a*(a - 2)*(a + 1)*(a + 23)
Let l = 32964/7 + -6888902/1463. Let t = -4/19 + l. Determine z so that -t*z**2 + 0 - 4/11*z = 0.
-2, 0
Let l(y) be the first derivative of -10 - 3*y**2 + 20/9*y**3 - 2/3*y. Factor l(t).
2*(t - 1)*(10*t + 1)/3
Suppose -5*u = -u - 2*i - 8, 0 = -5*u + i + 10. Let r(g) be the first derivative of 9/4*g**4 + 2*g**2 + 0*g - u - 4*g**3. Determine w, given that r(w) = 0.
0, 2/3
Let k be 1 + (-4)/((-60)/513). Let s = 37 - k. Suppose 7/5*a**2 + 1/5*a**5 + 2/5*a + s*a**3 + a**4 + 0 = 0. What is a?
-2, -1, 0
Let h = 13607 + -13605. Factor 0*w + 0*w**3 + 1/6*w**5 + 0*w**h + 0 - 1/3*w**4.
w**4*(w - 2)/6
Let b(n) be the third derivative of -n**7/3780 - n**6/1620 + n**5/540 + n**4/108 - 10*n**3/3 + 23*n**2. Let w(j) be the first derivative of b(j). Factor w(m).
-2*(m - 1)*(m + 1)**2/9
Let m(t) be the third derivative of t**8/336 + t**7/35 + 3*t**6/40 + t**5/15 + 158*t**2. Factor m(k).
k**2*(k + 1)**2*(k + 4)
Let i(z) be the second derivative of -z**7/14 + 29*z**6/40 - 45*z**5/16 + 85*z**4/16 - 41*z**3/8 + 9*z**2/4 - 511*z. Find q, given that i(q) = 0.
1/4, 1, 2, 3
Let x(u) be the third derivative of 1/6*u**4 + 0*u + 0*u**3 - 24*u**2 + 0 - 1/10*u**5 - 1/30*u**6. Factor x(w).
-2*w*(w + 2)*(2*w - 1)
Suppose 32 = 10*n + 6*n. Factor -10/11*a**n + 6/11*a**3 + 2/11*a + 0 + 18/11*a**4.
2*a*(a + 1)*(3*a - 1)**2/11
Let y = 939 + -931. Let g(b) be the second derivative of -y*b - 1/12*b**4 + 0 - 1/2*b**2 - 1/3*b**3. Let g(k) = 0. Calculate k.
-1
Let b be (-6)/8*167 + 39/(-52). Let z = 128 + b. Find k such that -27/2*k**z + 1 + 3/2*k - 14*k**3 = 0.
-1, -1/4, 2/7
Let j(d) be the second derivative of d**8/11760 + d**7/2205 - d**6/315 - 4*d**5/105 + 11*d**4/12 + 4*d. Let q(a) be the third derivative of j(a). Factor q(u).
4*(u - 2)*(u + 2)**2/7
Let z(r) = 4*r**3 + 106*r**2