nd derivative of 2*l**6/45 + l**5/15 - 3*l**4/4 + 9*l**2/2 - 298*l. What is i in a(i) = 0?
-3, -1, 3/2
Let d(n) be the third derivative of -1/18*n**3 + 18*n**2 - 5/144*n**4 + 0 + 0*n + 7/360*n**5. Solve d(u) = 0 for u.
-2/7, 1
Let j(h) = 8*h**2 + 307*h + 299. Let n(f) = -3*f**2 - 102*f - 99. Let d(r) = 6*j(r) + 17*n(r). Factor d(z).
-3*(z - 37)*(z + 1)
Suppose -2*k - 4*o + 22 = -0*k, 0 = -k + 3*o - 4. Suppose 19 = 2*v + k*t, 4*v = -2*t - 0*t + 14. Find d such that v*d**3 + 3*d**3 - 2*d - 3*d**3 = 0.
-1, 0, 1
Let b(w) = -38*w**3 + 42*w**2 + 60*w - 14. Let p(x) = -77*x**3 + 83*x**2 + 118*x - 27. Let s(i) = 5*b(i) - 2*p(i). Factor s(j).
-4*(j - 2)*(j + 1)*(9*j - 2)
Let d(x) = x**2 + 13*x + 14. Let b be d(-12). Factor f**2 - 3*f**2 - b - 31*f + 35*f.
-2*(f - 1)**2
Let c(l) be the second derivative of l**5/70 + l**4/3 + 7*l**3/3 + 5*l - 1. Factor c(n).
2*n*(n + 7)**2/7
Let d be (-12)/2 - 4026/(-488). Suppose -d*w**2 + 3/2*w + 3/4 = 0. Calculate w.
-1/3, 1
Suppose g - 2*g = -2. Determine c, given that 922 - 51*c - 904 + 20*c**2 - 5*c**g = 0.
2/5, 3
Let o(v) be the third derivative of -7*v**6/540 - 26*v**5/45 - 33*v**4/4 - 242*v**3/27 - 2*v**2. Factor o(q).
-2*(q + 11)**2*(7*q + 2)/9
Let f(k) be the third derivative of -k**7/175 - k**6/12 - 21*k**5/50 - 9*k**4/20 + 18*k**3/5 - 49*k**2. Factor f(v).
-2*(v + 3)**3*(3*v - 2)/5
Let i(h) = 13*h - 423. Let z be i(33). Let u(n) be the third derivative of z*n**2 - 1/6*n**3 - 1/30*n**5 - 1/240*n**6 + 0 + 0*n - 5/48*n**4. Factor u(w).
-(w + 1)**2*(w + 2)/2
Let d = -16 + 27. Suppose d*u - 18 = 5*u. Suppose -2/5*j - 8/5*j**u + 0 + 8/5*j**2 = 0. Calculate j.
0, 1/2
Let q(m) = 2*m - 8. Let k be q(8). Suppose -4*r + 0 = -k. Let -r*n + 3*n**2 - n + 7*n + 2*n = 0. Calculate n.
-2, 0
Let g(p) = -p**3 + 5*p**2 - 3*p - 8. Let i be g(5). Let l be 1/4 + i/(-276). Let l*q**4 + 0 + 2/3*q**3 + 0*q + 1/3*q**2 = 0. Calculate q.
-1, 0
Solve 3/2 + 3/4*g**5 + 9/4*g - 3/2*g**2 + 0*g**4 - 3*g**3 = 0 for g.
-1, 1, 2
Let m(q) be the third derivative of q**7/15120 + q**6/432 + 5*q**5/144 - 25*q**4/24 - 3*q**2. Let k(h) be the second derivative of m(h). Factor k(s).
(s + 5)**2/6
Let s(f) be the second derivative of -6*f + 1/14*f**3 + 0 - 2/7*f**2 + 1/84*f**4. Determine y so that s(y) = 0.
-4, 1
Let z = -207 - -207. Let p(j) be the third derivative of 0*j**5 + j**2 + 0*j + z + 0*j**3 + 1/60*j**4 - 1/300*j**6. Factor p(a).
-2*a*(a - 1)*(a + 1)/5
Let r(s) = -s**3 - 5*s**2 + 6*s + 8. Let x be r(-7). Suppose 5*g - 3 - 12 = 0. Factor -20*l - g*l**2 - 12*l - l**2 - x.
-4*(l + 4)**2
Let f(l) = 8*l**2 + 48*l - 574. Let z be f(6). Determine h so that -2 + 3/2*h**2 - z*h + h**3 - 1/2*h**4 = 0.
-1, 2
Let a(w) be the third derivative of w**5/15 - 11*w**4/3 + 14*w**3 + w**2 + 35*w. Find r such that a(r) = 0.
1, 21
Let o(f) be the second derivative of -f**6/30 + 3*f**5/20 + 4*f**4/3 + 2*f**3 - 71*f. Factor o(v).
-v*(v - 6)*(v + 1)*(v + 2)
Factor 30 - 92/3*s + 2/3*s**2.
2*(s - 45)*(s - 1)/3
Let i = -103991/168 - -619. Let l(b) be the third derivative of -1/21*b**3 - i*b**4 + 11*b**2 + 1/420*b**5 + 0 + 0*b. Suppose l(c) = 0. Calculate c.
-1, 2
Let f(a) = a - 2. Let d = -9 + 16. Let k be f(d). Factor 13*o + k*o**2 - 2*o**2 - 19*o.
3*o*(o - 2)
Let q(m) be the second derivative of -m**3 + 0*m**2 - 3/4*m**4 + 0 - 3/20*m**5 - 38*m. Factor q(o).
-3*o*(o + 1)*(o + 2)
Suppose -4*j = -7*j - 60. Let s = j - -24. Factor -2/3*k**s + 2/3 + 4/3*k + 0*k**2 - 4/3*k**3.
-2*(k - 1)*(k + 1)**3/3
Factor 14 - 21*r**3 - r**4 + 6 - 19*r**2 - 800*r + 821*r.
-(r - 1)*(r + 1)**2*(r + 20)
Let w(d) = 1. Let c = 2 - 12. Let r(h) = -8*h**2 - 2*h + 10. Suppose -5*a + 3*i + 14 = 0, 2*a + 0*i = -i - 1. Let q(j) = a*r(j) + c*w(j). Solve q(s) = 0 for s.
-1/4, 0
Let f(u) = -11*u**3 - 2*u**2 - 9*u + 42. Let z(s) = 20*s**3 + 4*s**2 + 19*s - 83. Let p(v) = -11*f(v) - 6*z(v). Factor p(r).
(r - 3)**2*(r + 4)
Let t(b) = 3*b**2 + b + 1 - 3*b**2 - b**2 + 0 - 30*b**3. Let x be t(-1). Factor -c**4 + c**3 - 9*c**3 - 20*c**5 + x*c**4.
-4*c**3*(c - 1)*(5*c - 2)
Let q(m) = -5*m + 2. Let k be q(0). Let s(h) be the second derivative of 5*h + 0*h**k + 1/2*h**4 + 0 + 0*h**3 + 3/20*h**5. Let s(u) = 0. What is u?
-2, 0
Let d(b) be the third derivative of -b**7/315 + 19*b**6/900 - 3*b**5/50 + 17*b**4/180 - 4*b**3/45 - 4*b**2 + 17. Factor d(w).
-2*(w - 1)**3*(5*w - 4)/15
Let w(l) be the third derivative of -l**7/210 + 7*l**6/30 - 37*l**5/10 + 91*l**4/6 - 169*l**3/6 - 351*l**2. Find n such that w(n) = 0.
1, 13
Let c(w) be the first derivative of -22 + 0*w**2 + 0*w + 2/9*w**3. Factor c(d).
2*d**2/3
Suppose -m - 685 = h - 689, m = -5*h + 4. Solve -2/3*l**2 + h + 4/3*l = 0.
0, 2
Let s be 236/1475*(0 - (-15)/21). Let b(n) be the first derivative of 5 - s*n**5 + 1/21*n**6 + 4/7*n - n**2 - 1/7*n**4 + 16/21*n**3. Factor b(c).
2*(c - 1)**4*(c + 2)/7
Suppose -q + 36 = -6*q - 3*n, -5*q = 5*n + 40. Let r be 2 + q/12*4. Factor r - 4/13*j + 6/13*j**2 + 0*j**3 - 2/13*j**4.
-2*j*(j - 1)**2*(j + 2)/13
Suppose 13*c = -3*c + 2208. Let s be (-2)/(-6)*(8 - -1). Find q, given that -51*q**3 + c*q**4 + 33*q**2 + 189*q**s + 7*q**5 + 3*q**2 - 6 - 15*q + 38*q**5 = 0.
-1, -2/5, 1/3
Let d(x) be the third derivative of -x**6/150 - 9*x**5/25 - 13*x**4/2 - 338*x**3/15 - 2*x**2 + 57. Factor d(m).
-4*(m + 1)*(m + 13)**2/5
Let n = 1019 + -1017. Let v(w) be the first derivative of 9/10*w**5 - 27/8*w**4 + 0*w + 0*w**n + 3 + 9/2*w**3 - 1/12*w**6. Suppose v(k) = 0. What is k?
0, 3
Suppose 27 = 3*m + 2*m - 4*i, m - 2*i = 9. Suppose 1 + 8 = m*r. Determine h so that -1 + 10*h + r + 4 - h + 3*h**2 = 0.
-2, -1
Let n(d) = -13*d + 14. Let y be n(3). Let x be (9/y)/((-6)/30*3). Factor 0 + 3/5*f**2 + 0*f + 0*f**3 - x*f**4.
-3*f**2*(f - 1)*(f + 1)/5
Let u(t) = -2*t**2 - 42*t - 27. Let o be u(14). Let h be o/(-323) - (-4)/(-34). Let -2/5*j**h + 2/5*j + 0 + 2/5*j**2 - 2/5*j**4 = 0. What is j?
-1, 0, 1
Let s(w) be the third derivative of -w**8/84 + 7*w**7/15 - 311*w**6/60 + 4*w**5 + 12*w**4 - 3*w**2 + 10*w. Determine i so that s(i) = 0.
-1/2, 0, 1, 12
Let z(g) be the second derivative of -5*g**7/42 - 47*g**6/6 + g**5/2 + 235*g**4/6 - 5*g**3/6 - 235*g**2/2 - 4*g - 35. Find k, given that z(k) = 0.
-47, -1, 1
Let i = 1192 + -14303/12. Let m(k) be the second derivative of 0 - i*k**4 + 1/3*k**3 + 9*k + 0*k**2. Factor m(j).
-j*(j - 2)
Let b = 959/33 + -305/11. Factor -8/3*p - b*p**2 + 0 + 4/3*p**3.
4*p*(p - 2)*(p + 1)/3
Let h(d) be the third derivative of 1/30*d**5 + 0*d**3 - 1/30*d**4 - 1/105*d**7 - 4*d**2 + 0*d**6 + 0*d + 1/420*d**8 + 0. Let h(f) = 0. What is f?
-1, 0, 1/2, 1, 2
Suppose -101*j + 45*j + 230 = 59*j. Solve -2/7*v**j + 16/7*v + 18/7 = 0 for v.
-1, 9
Factor -1/3*w**2 + 97/3*w + 0.
-w*(w - 97)/3
Factor 2*d**2 + 0 + 2/3*d**3 - 8/3*d.
2*d*(d - 1)*(d + 4)/3
Suppose 74*r + 52 + 0*r**3 + 12*r**2 - 98 + 65 - 2*r**3 + 41 = 0. What is r?
-3, -1, 10
Determine o so that 2/15*o**2 + 0*o - 8/15 = 0.
-2, 2
What is w in 174/5*w**3 + 0 + 14/5*w + 27/5*w**4 - 103/5*w**2 = 0?
-7, 0, 2/9, 1/3
Let o be ((-285)/(-42) + -7)*(-3 + 1/3). Determine w, given that o + 0*w**2 + 6/7*w - 2/7*w**3 = 0.
-1, 2
Determine i so that -8*i**3 - 32 - 6*i + 3*i**4 - 4*i - i**4 + 42*i = 0.
-2, 2
Let 289*f**3 + 44*f + 5184 - 366*f - 8*f**2 - 179*f - 285*f**3 - 327*f = 0. What is f?
-16, 9
Let n(m) be the third derivative of m**7/1680 - 17*m**6/960 + 91*m**5/480 - 49*m**4/64 - 11*m**2. Find c such that n(c) = 0.
0, 3, 7
Let y be (663/21 - -2) + (-3)/(-7). Factor 2*d - y*d + 19 - 28*d**2 - 23.
-4*(d + 1)*(7*d + 1)
Let p(c) = -c**3 + 10*c**2 + 335*c - 11. Let u be p(-14). Factor 1/2*m**u - 1/2*m + 0*m**2 + 0.
m*(m - 1)*(m + 1)/2
Suppose 3*k - 4*k = -9. Let a = 20 - 11. Factor a*q**3 + 4*q - 10*q**4 + 2*q**5 - 13*q**2 - q**2 + k*q**3.
2*q*(q - 2)*(q - 1)**3
Let s(i) = i**2 - 9*i - 5. Let h be s(10). Suppose 0 = 2*a + h*c + 16 - 6, -2*a = c + 2. Factor a + 1/2*u**2 + 1/4*u**3 + 0*u.
u**2*(u + 2)/4
Factor -3/7*v**3 + 45/7*v**2 + 375/7 - 225/7*v.
-3*(v - 5)**3/7
Let a(w) be the second derivative of -w**7/294 - 17*w**6/210 + 101*w**5/140 - 191*w**4/84 + 76*w**3/21 - 22*w**2/7 + 9*w + 3. Factor a(z).
-(z - 2)*(z - 1)**3*(z + 22)/7
Factor -50/3*b**2 + 2/9*b**5 + 0*b + 0 - 10/9*b**3 + 14/9*b**4.
2*b**2*(b - 3)*(b + 5)**2/9
Let n(u) be the third derivative of -u**10/453600 - u**9/60480 + u**8/60480 +