 of -1/27*c**3 + 2/9*c**2 - 3 + 0*c. Find n, given that f(n) = 0.
0, 4
Suppose 10*z - 5*q = 7*z - 11, 25 = 3*z + 4*q. Let w(n) be the first derivative of 0*n + 1/9*n**2 + 4 + 0*n**z - 1/18*n**4. Suppose w(x) = 0. Calculate x.
-1, 0, 1
Let x(i) be the second derivative of i**5/10 - 9*i**4 + 324*i**3 - 5832*i**2 - 4*i - 6. Solve x(a) = 0.
18
Let c(y) be the first derivative of 4*y**3/21 - 132*y**2/7 - 268*y/7 - 493. Suppose c(l) = 0. Calculate l.
-1, 67
Let h(o) = -25*o + 50. Let s be h(2). Factor -2/9*g**2 + 0*g + s.
-2*g**2/9
Let m(l) be the first derivative of l**7/84 + l**6/48 - l**5/4 - 5*l**4/12 + 10*l**3/3 - 23*l**2/2 + 17. Let h(d) be the second derivative of m(d). Factor h(i).
5*(i - 2)*(i - 1)*(i + 2)**2/2
Let g be ((-228)/285 - 22/(-20))*(-15)/(-36). Factor -1/4 + 1/4*s**2 + g*s**3 - 1/8*s.
(s - 1)*(s + 1)*(s + 2)/8
Let g be 2/3*(7 - 4). Let 4*h**4 + 3 + 8*h - h**2 - 11 + 5*h**g - 20*h + 12*h**3 = 0. Calculate h.
-2, -1, 1
Factor 19/9*c + 22/9*c**2 - 14/3 + 1/9*c**3.
(c - 1)*(c + 2)*(c + 21)/9
Factor 10/9*l + 2/3*l**2 - 2/9*l**3 - 2/9*l**4 + 4/9.
-2*(l - 2)*(l + 1)**3/9
Find g such that 0*g**2 + 0 + 56/3*g**3 + 0*g + 2/3*g**4 = 0.
-28, 0
Let q be (-397)/(-3) + -4 + 3. Let v = 132 - q. Factor 0*k + 2/3 - v*k**2.
-2*(k - 1)*(k + 1)/3
Let p be ((-18)/(-3))/(6/4) - 2. Suppose -u - 12 = -p*f, 3*f + 4 = 3*u - 7*u. Suppose 3/2 - 15/4*l**3 + 3/4*l**f - 21/4*l + 27/4*l**2 = 0. What is l?
1, 2
Let n(j) be the second derivative of 3/80*j**5 + 2 - 9*j**2 - 5/8*j**4 - 13*j + 7/2*j**3. Suppose n(a) = 0. Calculate a.
2, 6
Let f(v) be the second derivative of -v**6/225 + 7*v**5/150 - v**4/5 + 4*v**3/9 - 8*v**2/15 + 88*v + 2. Factor f(w).
-2*(w - 2)**3*(w - 1)/15
Let o = 7544 - 22631/3. Factor o*n + 1/3*n**3 + 0 + 2/3*n**2.
n*(n + 1)**2/3
Suppose m + 4*p + 0*p = 10, 14 = 2*m + 5*p. Let -4*h**2 + 0*h**4 + 5 - m + 2*h**4 - 1 = 0. What is h?
-1, 1
Let s = 594/5 - 118. Let w = 2422/1005 - 2/201. Suppose -8/5*y**3 + w*y**2 - 16/5 - s*y**4 + 16/5*y = 0. Calculate y.
-2, 1
Let g(p) = -6*p**2 + 4*p + 6. Let a = 64 - 60. Let w(i) = -17*i**2 + 11*i + 17. Let u(b) = a*w(b) - 11*g(b). Determine m, given that u(m) = 0.
-1, 1
Let x(s) = -2*s**2 + 13*s - 29. Let v(p) = -p + 1. Suppose -3*y + 5*y = 3*n + 10, 0 = -5*y - 4*n + 2. Let b(d) = y*x(d) - 6*v(d). Factor b(o).
-4*(o - 4)**2
Let c(g) = -7*g**3 + 31*g**2 - 68*g + 64. Let h(d) = 15*d**3 - 63*d**2 + 135*d - 129. Let q(k) = 9*c(k) + 4*h(k). Suppose q(v) = 0. What is v?
2, 5
Let j(p) be the first derivative of 2*p**3/3 - 18*p**2 + 34*p - 261. Factor j(l).
2*(l - 17)*(l - 1)
Factor -432*q - 6*q**4 - 3176*q**2 + 2992*q**2 + 800 + 108*q**3 + 2*q**4.
-4*(q - 25)*(q - 2)**2*(q + 2)
Let g(l) be the second derivative of l**4/3 + 2*l**3/3 + 12*l - 7. Determine c, given that g(c) = 0.
-1, 0
Let p(u) be the second derivative of -u**7/18 + u**6/45 + 7*u**5/60 - u**4/18 - 4*u + 11. Determine s so that p(s) = 0.
-1, 0, 2/7, 1
Let o = -4336/9 + 482. Let l be 1 + 2*1/(-2). Find q such that l*q - 2/9*q**2 + o = 0.
-1, 1
Let k(s) be the second derivative of -s**4/3 - 34*s**3 + 104*s**2 + 598*s. Find f such that k(f) = 0.
-52, 1
Let r(s) be the first derivative of 0*s**4 + 1/10*s**2 + 2/15*s**3 - 2/25*s**5 + 0*s - 5 - 1/30*s**6. Factor r(n).
-n*(n - 1)*(n + 1)**3/5
Let o(k) be the third derivative of k**5/100 + 9*k**4/20 - 4*k**3 - 3*k**2 - 49*k. Let o(j) = 0. Calculate j.
-20, 2
Let j(i) be the third derivative of i**7/840 + i**6/160 + i**5/120 - 36*i**2. Factor j(g).
g**2*(g + 1)*(g + 2)/4
Let z(j) be the first derivative of j**4/8 - 5*j**3/3 - 11*j**2/4 - 370. Determine r, given that z(r) = 0.
-1, 0, 11
Let m(z) = 10*z**2 - 10. Let b(s) = 2*s + 2. Let f be b(2). Let a(r) = -r**2 + 1. Let k(d) = f*a(d) + m(d). Solve k(u) = 0 for u.
-1, 1
Let b(w) be the second derivative of -7*w**4/54 - 569*w**3/27 - 18*w**2 + 3*w + 10. What is i in b(i) = 0?
-81, -2/7
Factor 0 - 3/7*z**4 + 0*z + 0*z**2 + 3/7*z**3.
-3*z**3*(z - 1)/7
Let v(i) be the second derivative of -i**4/4 - 93*i**3 - 25947*i**2/2 + 54*i. Factor v(c).
-3*(c + 93)**2
Let k(v) be the second derivative of v**5/200 - v**4/8 + 19*v**3/30 - 6*v**2/5 - 66*v - 2. Solve k(h) = 0.
1, 2, 12
Let w(v) = -v**3 + 18*v**2 - 2*v + 41. Let a be w(18). Factor 0 - 6/5*k**4 + 4/5*k**3 + 0*k + 0*k**2 - 8*k**a.
-2*k**3*(4*k - 1)*(5*k + 2)/5
Let f(g) be the second derivative of -9/140*g**7 + 1/20*g**2 + 0 - 7/60*g**3 - 17*g + 1/12*g**4 - 9/100*g**6 + 9/100*g**5. Factor f(i).
-(i + 1)**2*(3*i - 1)**3/10
Let h(t) be the third derivative of -t**8/112 + 3*t**6/40 - t**5/10 + 52*t**2 + 2. Factor h(k).
-3*k**2*(k - 1)**2*(k + 2)
Let w(k) = -19*k + 1. Let l be w(-1). Suppose -l = -0*m - 5*m - n, 0 = -m - 3*n + 18. Factor -c - 23*c**3 - 2*c**2 + 43*c**3 - 21*c**m.
-c*(c + 1)**2
Let x(q) be the first derivative of 0*q - 1/4*q**2 - 1/8*q**4 - 1/3*q**3 + 2. Factor x(y).
-y*(y + 1)**2/2
Let b(o) be the third derivative of o**5/270 - 11*o**4/36 + 32*o**3/27 + 4*o**2 + 6*o. Factor b(m).
2*(m - 32)*(m - 1)/9
Factor 351/2*c - 3/2*c**3 + 177/2 + 171/2*c**2.
-3*(c - 59)*(c + 1)**2/2
Suppose 28 = 2*h + 4*r, 2*r = -4*h + 15 + 11. Solve -15*t**2 + 2*t + 20*t**3 + 20 - 11*t - 5*t**h - 11*t = 0.
-1, 1, 2
Suppose 3*h - 69 = -18. Suppose 4*a - 3 = 5*z + 18, 5*z + h = 3*a. Factor 14*n - 14*n**2 - 6*n - 18*n**3 - a*n.
-2*n*(n + 1)*(9*n - 2)
Let r(h) be the first derivative of 5*h**6/6 + 11*h**5 + 85*h**4/2 + 230*h**3/3 + 145*h**2/2 + 35*h + 59. Factor r(o).
5*(o + 1)**4*(o + 7)
Suppose 18*b - 16*b**3 + 13*b**4 + 18*b**4 - 12*b**2 + 8*b**4 - 2*b**5 - 27*b**4 = 0. Calculate b.
-1, 0, 1, 3
Let l = -553 + 557. Let g(o) be the first derivative of 3*o - 3/4*o**l + 3*o**3 - 9/2*o**2 - 7. Suppose g(b) = 0. What is b?
1
Let a(r) = -4*r + 6. Let c be a(-2). Suppose 3*w + c*w = 3*w. Factor 0 + 0*n + 6/7*n**4 + w*n**2 - 3/7*n**3 + 9/7*n**5.
3*n**3*(n + 1)*(3*n - 1)/7
Let k be ((-9)/3)/(2/(-4)) - 0. Let x(o) be the second derivative of 1/45*o**k - 1/18*o**4 - 4*o + 0*o**2 + 1/9*o**3 - 1/30*o**5 + 0. Let x(d) = 0. What is d?
-1, 0, 1
Let m(y) be the first derivative of y**4/10 - 2*y**3/3 + 6*y**2/5 - 221. Factor m(c).
2*c*(c - 3)*(c - 2)/5
Let t(u) be the second derivative of -u**5/5 + 41*u**4 - 3362*u**3 + 137842*u**2 - 109*u. Factor t(i).
-4*(i - 41)**3
Let s(d) be the third derivative of d**7/70 + 11*d**6/60 + 13*d**5/15 + 7*d**4/4 + 3*d**3/2 + d**2 - 132. Factor s(g).
(g + 1)*(g + 3)**2*(3*g + 1)
Factor 1/2*y**3 - 324 + 198*y - 19*y**2.
(y - 18)**2*(y - 2)/2
Suppose -32*w + 64 = -0. Find h such that 0 + 0*h - 4/7*h**w + 18/7*h**3 = 0.
0, 2/9
Let j be 2/3 - (-21 + 2 + (-376)/(-24)). Find f, given that 0 - 20/3*f - 3*f**3 + 8*f**2 + 1/3*f**j = 0.
0, 2, 5
Let i(q) = -q**2 - 11. Let z = 18 + -12. Let v(h) = 3*h**2 + 23. Let l(g) = z*v(g) + 14*i(g). Determine a so that l(a) = 0.
-2, 2
Let a be 2/(-3) - (-128)/192. Let u(x) be the second derivative of -8*x + 3/5*x**2 + 3/100*x**5 - 3/10*x**3 + 0*x**4 + a. Factor u(p).
3*(p - 1)**2*(p + 2)/5
Suppose -3*n + 3*z + 63 = -54, -3*z - 152 = -4*n. Let g be 2 + 3 + -5 + 4. Suppose 16 + g*s - n - s**2 + 19 = 0. Calculate s.
0, 4
Let t(n) = -7*n**2 - 24*n - 29. Let u(v) = -36*v**2 - 120*v - 141. Let q(d) = 21*t(d) - 4*u(d). Factor q(m).
-3*(m + 3)*(m + 5)
Let x(q) = -2*q**3 - 4*q**2 - 2*q - 3. Let c(y) = y**3 + y**2 + 1. Suppose f = -3*f - 24. Let p(a) = f*c(a) - 2*x(a). Factor p(g).
-2*g*(g - 2)*(g + 1)
Let d(p) be the second derivative of 4/15*p**3 - 7/30*p**4 - 4*p**2 + 1/15*p**5 + p + 0. Let b(x) be the first derivative of d(x). Factor b(a).
4*(a - 1)*(5*a - 2)/5
Let h = 5 + 14. Factor h + 22 + 8*t - 5*t**2 + 24 - 69 + t**3.
(t - 2)**2*(t - 1)
Factor -72*g + 84/11*g**2 - 2/11*g**3 - 176.
-2*(g - 22)**2*(g + 2)/11
Let k(t) be the first derivative of -2/3*t**3 - 2*t**2 + 0*t + 1/60*t**5 - 1/30*t**6 + 2/3*t**4 - 6. Let j(u) be the second derivative of k(u). Factor j(p).
-(p - 2)*(p + 2)*(4*p - 1)
Let v be ((-4)/(-3) + (-960)/180)*2/(-4). Determine x so that -2*x + 14/15*x**v - 2/15*x**3 + 6/5 = 0.
1, 3
Let n be ((-2)/(-16))/((-268)/(-536)). Let i(g) be the first derivative of -1/8*g**4 + 1/2*g - 1/6*g**3 - 1 + n*g**2. Factor i(u).
-(u - 1)*(u + 1)**2/2
Suppose -5/4*c**4 - 5/2*c + 17/4*c**2 - 3/4*c**3 + 1/4*c**5 + 0 = 0. What is c?
-2, 0, 1, 5
Let g(q) be the second derivative of 0*q**2 + 5*q - 1/2