*q. Find z, given that j(z) = 0.
0, 1/3, 1
Let x(j) be the second derivative of -5*j**7/21 - j**6/2 + 9*j**5/4 - 5*j**4/12 - 5*j**3/2 - j - 63. What is f in x(f) = 0?
-3, -1/2, 0, 1
Let p(l) be the third derivative of -l**5/30 - 7*l**4/6 - 8*l**3 - 78*l**2. Factor p(w).
-2*(w + 2)*(w + 12)
Factor 0*s**2 + 0 - 2*s**5 + 13/2*s**4 - 3/2*s**3 + 0*s.
-s**3*(s - 3)*(4*s - 1)/2
Let v be -2 + (1/(-1) - -63). Factor -v*w + 125*w + 9*w**2 - 63*w.
w*(9*w + 2)
Let t(r) be the third derivative of -r**8/84 - 8*r**7/105 + r**6/5 + 4*r**5/15 - 5*r**4/6 - 134*r**2. Find o, given that t(o) = 0.
-5, -1, 0, 1
Let i(a) be the second derivative of 1/54*a**4 + 0 + 5/27*a**3 - 13*a + 2/3*a**2. Factor i(j).
2*(j + 2)*(j + 3)/9
Let d(x) be the second derivative of 2/189*x**7 + 0*x**2 + 2/135*x**6 - 1/45*x**5 - 3*x - 1/27*x**4 + 0 + 0*x**3. Determine j so that d(j) = 0.
-1, 0, 1
Let s(b) be the first derivative of 4/7*b + 17/21*b**3 - 18/7*b**2 + 18. Factor s(g).
(g - 2)*(17*g - 2)/7
Determine q so that -169/2 + 1/4*q**5 - 13/2*q**4 - 455/4*q + 83/2*q**3 + 19*q**2 = 0.
-1, 2, 13
Let z(s) = -s**2 - 2. Let u be z(0). Let n(y) = -y**2 - y - 4. Let l(v) = 3*v**2 + v + 8. Let b(j) = u*l(j) - 5*n(j). Find h, given that b(h) = 0.
-1, 4
Let z(w) be the first derivative of 4*w**5/25 - 2*w**4/3 + 17*w**3/30 - w**2/5 - 15*w + 31. Let q(g) be the first derivative of z(g). Factor q(h).
(h - 2)*(4*h - 1)**2/5
Let a = 238/19 + -6168/95. Let m = a + 54. Factor -m*f**2 - 2*f**4 + 0 + 0*f - 10*f**5 + 32/5*f**3.
-2*f**2*(f + 1)*(5*f - 2)**2/5
Factor 6*x**4 - 3*x**4 - 8884*x + 7*x**3 + 8884*x + 20*x**3 + 42*x**2.
3*x**2*(x + 2)*(x + 7)
Solve 28/5*s - 6 + 2/5*s**2 = 0.
-15, 1
Let q(m) be the first derivative of m**7/231 - m**6/33 + 7*m**5/110 - m**4/22 - m + 19. Let f(t) be the first derivative of q(t). Find z such that f(z) = 0.
0, 1, 3
Let c(f) be the second derivative of -f**7/42 - 7*f**6/10 + 23*f**5/10 + 120*f. Factor c(a).
-a**3*(a - 2)*(a + 23)
Let a be 6/4*(-12)/(-18). Let j(w) = 3*w**3 - w**2 + 1. Let h be j(a). Determine i, given that -h - 14*i**3 + 3*i**2 - i**2 + 2*i**3 + 12*i + i**2 = 0.
-1, 1/4, 1
Suppose -4*w = 4*g - 16, -6*g + 5*w + 12 = -3*g. Factor -j + 2*j**3 - 8*j**2 - j + 4*j + 8*j**g - 4*j**3.
2*j*(j - 1)*(j + 1)*(4*j - 1)
Let a(u) = 15*u**2 + 71*u - 18. Let n be a(-5). Factor -2/13*z**n + 0*z + 0 + 2/13*z**3.
2*z**2*(z - 1)/13
Let m(i) be the second derivative of i**7/126 - i**6/90 - i**5/10 - i**4/18 + 5*i**3/18 + i**2/2 + 10*i. Find w, given that m(w) = 0.
-1, 1, 3
Suppose -q + 4*q = 6. Suppose 4*s + q*a - 26 = 0, a + 0*a - 17 = -3*s. Find w such that -3*w**3 - 12*w**s + 0*w**3 - 8*w + 20*w**2 + 19*w**3 = 0.
-1, 0, 1/3, 2
Let q(v) be the second derivative of 17*v**4/54 - 19*v**3/27 + 2*v**2/9 - 251*v. Determine r, given that q(r) = 0.
2/17, 1
Let n(v) be the third derivative of 5*v**8/336 + v**7/15 - 13*v**6/120 - 29*v**5/30 - 7*v**4/6 + 4*v**3/3 - 126*v**2. Suppose n(s) = 0. Calculate s.
-2, -1, 1/5, 2
Factor -166*j + 178*j + 282*j**2 + 200 + 2*j**4 + 428*j + 44*j**3.
2*(j + 1)**2*(j + 10)**2
Let m = -170 - -330. Let h be (-107)/(-21) - (m/(-35) + 5). Factor -8/3*y**2 - h*y + 4/3.
-2*(y + 2)*(4*y - 1)/3
Let y(c) = -9*c**5 + 4*c**4 + 49*c**3 - 4*c + 4. Let k(s) = -10*s**5 + 5*s**4 + 50*s**3 - 5*s + 5. Let a(i) = -4*k(i) + 5*y(i). Let a(r) = 0. What is r?
-3, 0, 3
Find i, given that -1/5*i**4 + 0 - 29/5*i**2 - 14/5*i - 16/5*i**3 = 0.
-14, -1, 0
Suppose 5/3 + 7/6*r + 1/6*r**2 = 0. What is r?
-5, -2
Factor -18*j - 3/4*j**3 + 15 + 27/4*j**2.
-3*(j - 5)*(j - 2)**2/4
Let o(y) = -9*y**3 - 24*y**2 - 84*y - 72. Let v(t) = t**3 - t**2. Let r(j) = -o(j) - 6*v(j). Factor r(g).
3*(g + 2)**2*(g + 6)
Let w = -21 - -27. Let u be w + 2 + -9 + 3. Determine t so that 0*t**2 - 3 + u*t + 5*t**2 - 2*t**3 - t**2 - 1 = 0.
-1, 1, 2
Suppose 0*t**2 - 3/2*t**4 + 0 + 0*t + 0*t**3 + 1/2*t**5 = 0. What is t?
0, 3
Let w(z) be the first derivative of z**4/16 - 153*z**3/4 + 70227*z**2/8 - 3581577*z/4 - 106. Factor w(k).
(k - 153)**3/4
Factor -q**3 + 7/3*q + 1 - 7/3*q**2.
-(q - 1)*(q + 3)*(3*q + 1)/3
Let m(v) = -v**3 + v**2 + 55*v - 4. Let t be m(-7). Let q(l) be the second derivative of -1/9*l**4 + 3*l - 2/9*l**t + 0*l**2 + 0. Let q(a) = 0. What is a?
-1, 0
Let p = 13 + 10. Factor p*c**2 + 3*c + c**3 + 1 - 12*c**2 - 8*c**2.
(c + 1)**3
Let w(l) = -3*l**5 - 2*l**4 + 3*l**3 + 2*l**2 - 5*l - 5. Let y(s) = -s**2 + s**4 + 2*s - 5*s + 4 - 3 + 4*s. Let f(j) = w(j) + 5*y(j). Factor f(o).
-3*o**2*(o - 1)**2*(o + 1)
Let v(y) be the second derivative of y**5/6 + 13*y**4/12 - 2*y**3 - 5*y**2/2 - 37*y. Let m(b) be the first derivative of v(b). Let m(u) = 0. Calculate u.
-3, 2/5
Factor 2/7*g**3 - 18/7*g - 36/7 + 4/7*g**2.
2*(g - 3)*(g + 2)*(g + 3)/7
Suppose 649*s - 3720 = -281*s. Find c such that 0*c + 40/7*c**5 - 16/7*c**3 + 2/7*c**2 + 0 + 22/7*c**s = 0.
-1, 0, 1/5, 1/4
Let b(x) be the first derivative of -7*x**5/5 - x**3 - 3*x**2/2 + 2. Let j(f) = 8*f**4 + 4*f**2 + 4*f. Let v(l) = -4*b(l) - 3*j(l). Let v(o) = 0. Calculate o.
0
What is b in 2472/11*b - 2496/11 - 600/11*b**2 - 6/11*b**3 = 0?
-104, 2
Let k(i) be the second derivative of 0*i**2 + 1/3*i**3 + 1/6*i**4 - 7/40*i**5 - 1/15*i**6 + 12*i + 0 + 1/28*i**7. Find b, given that k(b) = 0.
-1, -2/3, 0, 1, 2
Suppose 2*j + 4*n + 2 = -4, n + 3 = j. Let i be (3 + 5/j)*(-2)/(-8). Find m such that -18/7*m - 4/7 - i*m**2 = 0.
-1, -2/7
Let o(u) = 4*u**2 - 2*u + 1. Let i be o(1). Let w(m) = 3*m - 7. Let q be w(i). Factor -2*x**q - 23*x**3 - 4*x + 22*x**3 + 3*x.
-x*(x + 1)**2
Let n(d) be the second derivative of d**7/252 + 2*d**6/45 + 11*d**5/60 + d**4/3 + d**3/4 - 3*d - 17. Suppose n(y) = 0. What is y?
-3, -1, 0
Let z be 11/(-88) - 33/(-8). Let g(k) be the third derivative of 1/8*k**z - 1/40*k**6 + 0*k**5 + 0*k - 4*k**2 + 0*k**3 + 0. Suppose g(r) = 0. What is r?
-1, 0, 1
Let o be 1/(1/65*5). Let v = 17 - o. Factor -3*n**4 + 4*n**5 + 5*n**4 + 16*n**2 + 0*n**4 + 24*n**3 + 14*n**4 + v*n.
4*n*(n + 1)**4
Let s(q) be the second derivative of -q**7/2380 + q**6/612 - q**5/510 - q**3/2 + 4*q. Let z(j) be the second derivative of s(j). Suppose z(c) = 0. Calculate c.
0, 2/3, 1
Let c = 0 + -7. Let y = -23 + 28. Let n(b) = -2*b**2 - 5*b + 5. Let r(m) = -3*m**2 - 7*m + 7. Let w(v) = c*n(v) + y*r(v). Solve w(u) = 0.
0
Let c = 58 + -54. Factor -411*a**3 + 0*a**4 + 418*a**3 - a**c.
-a**3*(a - 7)
Let m(a) be the second derivative of 5*a**8/1344 + 13*a**7/630 + 29*a**6/720 + a**5/60 + a**4/4 + 23*a. Let i(u) be the third derivative of m(u). Factor i(y).
(y + 1)**2*(25*y + 2)
Let t be 4/6*(-270)/20. Let v(i) = -i**3 - 10*i**2 - 7*i + 21. Let r be v(t). Factor 0*s**2 + 3/5*s**r - 9/5*s**4 + 0*s + 0.
-3*s**3*(3*s - 1)/5
Let v(f) = f**4 + f**3 - f**2 - f - 1. Let a(y) = -y**5 + 12*y**4 - 2*y**3 - 9*y - 7. Let p(n) = 2*a(n) - 14*v(n). Factor p(c).
-2*c*(c - 2)*(c - 1)**3
Let u be -8 - 11/((-660)/492). Factor 1/5*c**3 + 1/5*c**2 - 1/5 - u*c.
(c - 1)*(c + 1)**2/5
Let o be (8 - 1)*-2*(-5)/10. Factor 0*u + 13*u**2 - 4 - 7*u**2 - 5*u - o*u**2.
-(u + 1)*(u + 4)
Let j(x) be the first derivative of -3*x**5/5 + 3*x**4 - 3*x**3 - 6*x**2 + 12*x - 51. Determine u so that j(u) = 0.
-1, 1, 2
Let w(i) be the third derivative of i**9/3024 - i**8/1344 - i**7/504 + i**6/144 + i**4/2 - 2*i**2. Let o(n) be the second derivative of w(n). Factor o(b).
5*b*(b - 1)**2*(b + 1)
Factor -3*h + 300*h**2 - h + 2*h + 13*h**3 - 311*h**2.
h*(h - 1)*(13*h + 2)
Let f(l) be the first derivative of 2*l**5/15 - 5*l**4/6 + 10*l**3/9 + 5*l**2/3 - 4*l + 217. Find q, given that f(q) = 0.
-1, 1, 2, 3
Suppose -110*f**3 - 1006*f**2 + 2*f**4 - 396*f**3 + 28854*f**2 + 21*f**3 + 13*f**3 = 0. What is f?
0, 118
Let t(l) be the first derivative of 2*l**3/27 - 25*l**2/9 - 52*l/9 - 101. Factor t(q).
2*(q - 26)*(q + 1)/9
Let v(t) be the third derivative of 1/120*t**5 + 0*t - 9*t**2 + 0*t**3 + 0 + 1/24*t**4. Solve v(b) = 0.
-2, 0
Solve 4/7*j**4 - 16/7 - 76/7*j + 3/7*j**5 - 96/7*j**2 - 5*j**3 = 0 for j.
-2, -1, -1/3, 4
Suppose -2*s + 3*h = -7*s + 31, -4*h - 12 = -4*s. Factor 5*x + 5*x**4 - x**4 - s*x**3 - 18*x**4 + 9*x**2 - 2 + 7*x**4.
-(x - 1)*(x + 1)**2*(7*x - 2)
Let g(y) = -y**2 + 2*y. Let i(v) = 3*v**2 + 19*v - 15. Let n(u) = g(u) - i(u). Find s, given that n(s) = 0.
-5, 3/4
Let b(l) be the first derivative of 4*l**3/21 + 80*l**2/7 + 304*l/7 