(j). Let a(z) = 0. What is z?
1, 3, 5
Let k(l) be the first derivative of l**2/2 + 4*l + 26. Let p be k(-2). Factor 1/3*o**p + 3 + 2*o.
(o + 3)**2/3
Let a(l) = -11*l**2 + 19. Let p(o) = -7*o**2 + 13. Let n(f) = 5*a(f) - 8*p(f). Let n(x) = 0. What is x?
-3, 3
Let y be 0/(6*10/15 - 5). Let p(i) be the second derivative of 2/15*i**6 + y + 3/5*i**5 + i + 2/3*i**3 + i**4 + 0*i**2. Factor p(q).
4*q*(q + 1)**3
Determine l so that -10/11*l**2 + 24/11 - 16/11*l + 2/11*l**3 = 0.
-2, 1, 6
Let w(y) be the first derivative of -4 - 4/3*y**3 - 1/30*y**5 + 0*y - 9/2*y**2 - 1/3*y**4. Let x(m) be the second derivative of w(m). Let x(n) = 0. What is n?
-2
Let k(x) be the third derivative of x**6/150 + x**5/15 + 2*x**4/15 - 248*x**2. Factor k(z).
4*z*(z + 1)*(z + 4)/5
Let u = -114524/75 + 1527. Let y(v) be the third derivative of 9*v**2 + u*v**5 + 0*v**3 + 1/600*v**6 + 0*v + 0 + 1/30*v**4. Factor y(z).
z*(z + 2)**2/5
Solve 0 + 4/5*i - 2/5*i**5 - 2/5*i**3 + 6/5*i**2 - 6/5*i**4 = 0 for i.
-2, -1, 0, 1
Let v be (-3 - 3)/(-6)*(-1 + 1). Let d(j) be the first derivative of -14/5*j**5 + 15/2*j**4 + v*j**2 + 1/3*j**6 - 6*j**3 + 0*j + 4. Factor d(f).
2*f**2*(f - 3)**2*(f - 1)
Let h = -30 + 27. Let i be (-8)/(-15) + 1/h + 1. Find z, given that -2/5 - 6/5*z**2 - 2/5*z**3 - i*z = 0.
-1
Solve -196/9*h**3 - 2828/9*h**2 - 80/3 + 1664/9*h = 0 for h.
-15, 2/7
Let x = 257/142 - 22/71. Determine d, given that 1/6*d**2 - x + 0*d = 0.
-3, 3
Suppose -p = 3*p + 2*v, 0 = 5*p + v - 6. Suppose 4*q = -p*q + 18. Let o + 3*o**2 + q*o**3 - 4*o - 10*o**4 + 7*o**4 = 0. What is o?
-1, 0, 1
Let i(p) = p**3 - 4*p**2 + 7*p - 2. Let c be i(3). Let v be c - ((2 - 3) + 0). Factor -4*y**3 + 8*y + 8 + v*y**4 + 9*y**2 - 9*y**4 - 15*y**2.
2*(y - 2)**2*(y + 1)**2
Let j = 3150 - 9446/3. Factor 0 + j*b**3 - 4/3*b + 2/3*b**4 - 2/3*b**2.
2*b*(b - 1)*(b + 1)*(b + 2)/3
Suppose 10*j + 52 = 34*j - 44. Factor 0 - 18/5*q**3 - 14/5*q**j - 4/5*q**2 + 0*q.
-2*q**2*(q + 1)*(7*q + 2)/5
Let y(x) be the third derivative of 0*x - 11/180*x**5 + 0 + 1/72*x**6 + 7/72*x**4 + 14*x**2 - 1/18*x**3. Solve y(k) = 0.
1/5, 1
Let u(x) be the second derivative of 5*x**4/2 + 113*x**3/2 + 99*x**2/2 + 131*x - 3. Factor u(v).
3*(v + 11)*(10*v + 3)
Let k(w) = 17*w - 374. Let d be k(22). Let n(z) be the second derivative of -5*z - 1/5*z**2 + 1/30*z**3 + 1/20*z**4 + d. What is s in n(s) = 0?
-1, 2/3
Let c be ((-44)/(-25))/((-6)/15). Let l = 24/5 + c. Let -l*x**2 + 0*x + 0 = 0. Calculate x.
0
Let f = 1 + 2. Factor -12*o**2 - 8*o + 10*o**3 - 29*o**3 + 15*o**f.
-4*o*(o + 1)*(o + 2)
Let j be -14*3*(-6)/63. Factor 7*h**4 - 15*h**2 - 10*h - h**4 + 9*h**j + 5*h**3 + 5*h**5.
5*h*(h - 1)*(h + 1)**2*(h + 2)
Let j = -21136 - -21136. Factor 0*i**2 + j + 2*i**4 + 4/3*i**3 + 2/3*i**5 + 0*i.
2*i**3*(i + 1)*(i + 2)/3
Let l(u) be the third derivative of -1/60*u**5 + 0 + 0*u - 5/18*u**3 + 1/360*u**6 - 1/8*u**4 - 16*u**2. Factor l(v).
(v - 5)*(v + 1)**2/3
Let t be -15 + 15 - (-4 - 0). Factor -16*s**2 - 4*s - 21*s**3 - 7*s**4 + 5*s**t - 7*s**4.
-s*(s + 1)*(3*s + 2)**2
Let a = -144 + 405. Let c = 261 - a. Factor -1/6*l**3 + c + 0*l + 1/3*l**2.
-l**2*(l - 2)/6
Let c(g) = -g**3 - 4*g**2 - 4*g - 4. Let x be c(-4). Suppose -2*j = 2*j - x. Find t, given that 1 - 3 + j*t - 6*t - 2*t**2 + 7*t = 0.
1
Suppose 12 = 14*v - 13*v + 3*g, -2*v = 2*g - 8. Let k(r) be the third derivative of v*r + 6*r**2 + 0*r**4 + 0 - 1/90*r**5 + 0*r**3. Let k(b) = 0. What is b?
0
Let r be (240/(-35) + 7)*(-22)/(-2) + -1. Let -r*g**2 - 1/7 - 5/7*g = 0. What is g?
-1, -1/4
Suppose 74/13*z**3 + 8/13*z**4 + 82/13*z**2 + 0 + 16/13*z = 0. Calculate z.
-8, -1, -1/4, 0
Let t(j) be the first derivative of 9*j**4/20 - 47*j**3/15 - 58*j**2/5 + 28*j/5 - 417. Find p such that t(p) = 0.
-2, 2/9, 7
Let w = 1720/3 - 570. Let a = 5608/1203 + 2/401. Factor -6*r**3 + a*r**2 + w*r**4 + 0 - 4/3*r - 2/3*r**5.
-2*r*(r - 2)*(r - 1)**3/3
Let v(r) be the third derivative of -r**7/168 + 29*r**6/240 - 13*r**5/20 - 3*r**4/4 - 5*r**2 - 2*r. Determine i, given that v(i) = 0.
-2/5, 0, 6
Let t(o) be the first derivative of -o**4/2 + 6*o**3 - 20*o**2 + 24*o + 54. Factor t(c).
-2*(c - 6)*(c - 2)*(c - 1)
Let v(r) be the third derivative of r**8/560 + r**7/350 - r**6/50 - r**5/25 - 122*r**2. Let v(a) = 0. What is a?
-2, -1, 0, 2
Factor -25/2*r**2 - 5*r + 20 - 5/2*r**3.
-5*(r - 1)*(r + 2)*(r + 4)/2
Let j(h) be the second derivative of h**7/336 + h**6/240 - h**5/20 - h**4/8 + 328*h. Factor j(s).
s**2*(s - 3)*(s + 2)**2/8
Let r(u) be the third derivative of 0*u**3 - 1/240*u**5 + 1/120*u**7 + 0*u**4 + 0 - 3*u**2 + 0*u + 1/240*u**6 + 1/336*u**8. Determine p, given that r(p) = 0.
-1, 0, 1/4
Let n(b) = -b**3 + 15*b**2 - 14*b. Suppose 5*d - 3 - 2 = 0. Let m(v) = -v**3 + v. Let x(o) = d*n(o) - 6*m(o). Factor x(w).
5*w*(w - 1)*(w + 4)
Let n = 46004 - 46002. Suppose 6/5*h**n + 2/5*h**3 + 4/5*h + 0 = 0. What is h?
-2, -1, 0
Factor 108/5*l + 116/5*l**2 - 8/5.
4*(l + 1)*(29*l - 2)/5
Let z(l) be the first derivative of l**6/15 + 9*l**5/25 + 2*l**4/5 - 2*l**3/5 - l**2 - 3*l/5 + 96. Suppose z(x) = 0. Calculate x.
-3, -1, -1/2, 1
Let a(w) = 2*w**4 + 19*w**3 - 5*w**2 + 11*w - 11. Let q(t) = -14*t + 6*t + 10*t**3 + t**4 - 6 + 14*t + 0 - 3*t**2. Let v(c) = 6*a(c) - 11*q(c). Factor v(x).
x**2*(x + 1)*(x + 3)
Let n(w) be the third derivative of 0*w**4 - 3*w**3 + 0*w + 0 + 27*w**2 + 1/30*w**5. Find g such that n(g) = 0.
-3, 3
Let l(x) = -x**2 - 3*x. Let o be -1 - (4 + -1 + -2). Let h be l(o). Solve 0 + 0*n + 2*n**h + 1/2*n**4 - 2*n**3 = 0.
0, 2
Let -2/3*t**5 - 8/3*t**4 + 12*t**3 - 40/3*t**2 + 0 + 14/3*t = 0. Calculate t.
-7, 0, 1
Let 7*s**3 + 9 - 5 - 8*s + 0*s**5 - 5*s**4 + s**2 + s**5 + 0 = 0. What is s?
-1, 1, 2
Let x(u) be the first derivative of -12/5*u - 10 - 1/5*u**3 - 9/10*u**4 + 14/5*u**2. What is g in x(g) = 0?
-3/2, 2/3
Let q(u) be the second derivative of u**4/12 + 10*u**3 + 450*u**2 + 19*u. Factor q(d).
(d + 30)**2
Let a(u) be the third derivative of -u**5/270 + u**4/36 + 40*u**3/27 - 131*u**2. Determine s so that a(s) = 0.
-5, 8
Suppose k = -3 + 8. Solve 2/5*l - 3/5*l**4 + 0 + 3/5*l**2 - 4/5*l**3 + 2/5*l**k = 0 for l.
-1, -1/2, 0, 1, 2
Let g be 1 + 93/18 - (-9 + 18)/(-18). Factor 50/3 - g*c + 2/3*c**2.
2*(c - 5)**2/3
Let t(k) be the third derivative of k**7/840 + k**6/30 + 2*k**5/5 - 3*k**4/4 + 21*k**2. Let h(m) be the second derivative of t(m). Find g, given that h(g) = 0.
-4
Let s be 2/(-17) - 5555/2057 - -3. Let f be (2/(-22)*2)/(-1). Determine m so that -s*m**3 + 0*m - 4/11*m**2 + f*m**4 + 0 = 0.
-1, 0, 2
Let s = 103 + -135. Let x = s - -35. Suppose 16/7*c + 2*c**x + 38/7*c**2 - 8/7 = 0. What is c?
-2, -1, 2/7
Let g(q) be the first derivative of -q**4/28 - q**3/6 - q**2/7 - 14*q - 20. Let x(u) be the first derivative of g(u). Factor x(t).
-(t + 2)*(3*t + 1)/7
Let z(x) be the second derivative of 1/4*x**7 + 0*x**2 - 32*x + 0*x**3 + 0 + 0*x**4 - 3/5*x**6 - 3/10*x**5. Factor z(l).
3*l**3*(l - 2)*(7*l + 2)/2
Let m be 5/(10/3) + 132/72. Let m - 4*k + 2/3*k**2 = 0. Calculate k.
1, 5
Let w = 1797 - 1795. Factor 0 + 1/2*x**4 - 2*x**3 + 5/2*x**w - x.
x*(x - 2)*(x - 1)**2/2
Let u(s) = -6*s**2 - 10*s + 9. Let j be (-4)/3*39/26. Let z(y) = y**2 + y - 1. Let m(i) = j*u(i) - 14*z(i). Suppose m(v) = 0. What is v?
1, 2
Let q = 31 + -29. Suppose 0 = 4*w - 4, q*t - t - 2 = 5*w. Find o such that o - 3 - o**3 - t*o + 11*o + 0*o - o**2 = 0.
-3, 1
Factor 41*a - 24*a - 19*a + 32*a**2.
2*a*(16*a - 1)
Let h(o) = o**3 - 3*o**2 - 5*o - 11. Let p be h(5). Suppose 8*g - p = g. Factor -2/3*z**g - 2/3 - 4/3*z.
-2*(z + 1)**2/3
Let r = -2153 + 2161. Let l(q) be the first derivative of r*q**3 + 6*q**2 + 0*q + 15/4*q**4 - 13 + 3/5*q**5. Factor l(a).
3*a*(a + 1)*(a + 2)**2
Let y(q) be the first derivative of -q**4/32 + q**3/8 - 3*q**2/16 + q/8 + 134. Factor y(s).
-(s - 1)**3/8
Let j(y) = -y**4 + y**3 + y + 1. Let c(k) = -3*k**4 + 6*k**3 + k**2 + 4*k + 4. Let z = -22 + 10. Let r(m) = z*j(m) + 3*c(m). Solve r(l) = 0 for l.
-1, 0
Let r(j) = j - 7. Let k be r(10). Let t(q) = q**2 + 11*q - 41. Let p be t(-14). Let 5/2*y - 2*y**2 - p + 1/2*y**k = 0. What is y?
1, 2
What is p in -13*p**2 - 13*p**4 - 22*p + p**5 + 65*p**2 - 2*p**5 - p**5 - 36 + 24*p**3 - 3*p**4 = 0?
-9, -1, 1, 2
Let j be (-2)/522*(6 - -119). Let m = -1/29 - j. Let 0 + 4/9*x**2 - m*x**4 + 2/9*x - 2/9*x**5 + 0*x