 so that y(g) = 0.
-1, 2
Factor -2/13*l**2 + 6/13*l**4 + 4/13*l**3 + 0 + 0*l.
2*l**2*(l + 1)*(3*l - 1)/13
Let a(u) be the first derivative of -26*u**5/15 + 77*u**4/3 - 374*u**3/3 + 560*u**2/3 + 200*u/3 - 808. Let a(i) = 0. Calculate i.
-2/13, 2, 5
Let u = 21 - 16. Suppose -u*q + 10 + 5 = 0. Let -1 - 2*w**3 + q*w + 3 + 3*w + 2 = 0. What is w?
-1, 2
Suppose -573/5*z**2 + 145*z - 1/5*z**4 - 49/5*z**3 + 250 = 0. What is z?
-25, -1, 2
Let h(o) be the third derivative of o**6/24 - 19*o**5/12 + 40*o**4/3 - 50*o**3 + 7*o**2. Find y such that h(y) = 0.
2, 15
Let j be (1 - -5)/(-25 - -24). Let v be j*(-3 - (368/36)/(-4)). Suppose -16/3 - 1/3*t**2 - v*t = 0. What is t?
-4
Let h(m) = m**2 - 24*m + 44. Let g be h(22). Let i be 0 + g + 0 + 10/15. Let 1/2*k**2 - 2/3 + i*k = 0. What is k?
-2, 2/3
Let d = 15 + -13. Solve d*m**2 + m**2 - 22*m**4 + 19*m**4 = 0 for m.
-1, 0, 1
Let f(v) = -6*v + 24. Let z be f(14). Let k be 5/(z/(-8))*3. Find g, given that -8*g - 4*g**k - 9 + 11 + 10 = 0.
-3, 1
Let k(a) = 7*a**3 - 179*a**2 - 9739*a - 185177. Let i(w) = w**3 - w**2 + w + 2. Let s(q) = -40*i(q) + 5*k(q). Suppose s(g) = 0. Calculate g.
-57
Find n, given that -22/23*n**3 - 8/23*n**2 + 4/23*n**5 + 0*n - 10/23*n**4 + 0 = 0.
-1, -1/2, 0, 4
Suppose s - 37 = 3*o, 18 = -2*o - s - 5. Let i be (o/18)/((-66)/27 + 2). Factor -u**5 + 0*u**2 + i*u**4 + 0 - 1/2*u**3 + 0*u.
-u**3*(u - 1)*(2*u - 1)/2
Let m(w) be the second derivative of -w**7/280 + w**6/20 - 3*w**5/10 + w**4 - 5*w**3 - 15*w. Let f(t) be the second derivative of m(t). Solve f(p) = 0.
2
Suppose -l - 3*h - 3 = 0, -4*l - 52 + 56 = -4*h. Solve l - 1/9*m - 1/9*m**2 = 0 for m.
-1, 0
Let w = -4/3 + 2. Let l(z) = z**2 - 22*z - 450. Let c be l(35). Factor -2*x**4 + 2*x**3 + 0 + 0*x - 2/3*x**2 + w*x**c.
2*x**2*(x - 1)**3/3
Let a = -2570 - -2573. Let v(j) be the third derivative of 0*j**a + 0*j**4 - 10*j**2 + 3/70*j**7 + 0 - 1/84*j**8 + 1/60*j**5 + 0*j - 1/20*j**6. Factor v(z).
-z**2*(z - 1)**2*(4*z - 1)
Let f(v) be the second derivative of -1/20*v**5 + 0 - 14*v - 1/2*v**2 + 1/12*v**4 + 1/6*v**3. Suppose f(l) = 0. Calculate l.
-1, 1
Let n(v) be the third derivative of -5*v**5/72 + 15*v**4/16 - 25*v**3/18 - 217*v**2. Find k such that n(k) = 0.
2/5, 5
Let m be (-1)/2 + (-2)/(-2) + (-35)/210. Find v such that m + 2/3*v**3 + 0*v**2 - 1/3*v**4 - 2/3*v = 0.
-1, 1
Suppose 2*c - 80 = -8*c. Factor -c*d**2 + 0*d**3 + 0*d**3 - 69*d**4 + 71*d**4.
2*d**2*(d - 2)*(d + 2)
Let o(t) be the third derivative of t**11/110880 - t**10/16800 + t**9/10080 - t**5/12 - 12*t**2. Let i(y) be the third derivative of o(y). Factor i(b).
3*b**3*(b - 2)*(b - 1)
Suppose -70 = 5*j - 10*j. Let k(z) = -z + 16. Let r be k(j). Factor d**2 + 2*d**r + 0*d**4 - d + d**3 - d**4 + 37 - 39.
-(d - 2)*(d - 1)*(d + 1)**2
Suppose -6*u + 32 = -88. Determine m, given that -23*m**4 + 43*m**4 + u*m**3 + 5 - 19*m**2 - 10*m + 4*m**2 = 0.
-1, 1/2
Suppose -157*z + 142*z + 45 = 0. Let t(f) be the first derivative of f**z - 9/2*f**2 + 6*f - 5. Factor t(c).
3*(c - 2)*(c - 1)
Suppose 2 = -3*c + 11. Suppose -2*q**3 - c*q + 3*q**3 + 0*q**3 + 2*q**2 = 0. What is q?
-3, 0, 1
Let l be -3 - 209/(-55) - -2. Factor l*j**2 + 16/5 - 2/5*j**3 - 28/5*j.
-2*(j - 4)*(j - 2)*(j - 1)/5
Let i(m) be the first derivative of -9 - 7/2*m**2 + 14/5*m**5 + 2*m**3 - 2*m + 25/4*m**4. Find c such that i(c) = 0.
-1, -2/7, 1/2
Let l be (-8)/(-20) + 1 - ((-172)/(-80) - 3). Factor 3/2*q - l*q**2 + 3/4.
-3*(q - 1)*(3*q + 1)/4
Let p(a) be the third derivative of a**7/10080 - a**6/960 + a**5/240 - 4*a**4/3 - 29*a**2. Let i(x) be the second derivative of p(x). Factor i(h).
(h - 2)*(h - 1)/4
Let p be 3248/1044 + 40/(-36). Suppose 2/17*b - 2/17*b**4 + 0 - 2/17*b**3 + 2/17*b**p = 0. What is b?
-1, 0, 1
Let w(g) = 4*g**2 - 5*g + 30. Let c(x) = -10*x**2 + 16*x - 88. Let j(z) = 3*c(z) + 8*w(z). Factor j(s).
2*(s - 2)*(s + 6)
Let o = -3851 - -3853. Solve -2/3*u**4 + o*u**3 + 2/3*u - 2*u**2 + 0 = 0 for u.
0, 1
Let n(t) = -t**2 + 481*t + 2. Let y be n(0). Solve 2*r**3 - 8/3 + 14/3*r**y + 0*r = 0.
-2, -1, 2/3
Let t(s) be the first derivative of -14 - 4/45*s**3 + 1/30*s**4 + 0*s + 1/15*s**2. Factor t(i).
2*i*(i - 1)**2/15
Find h, given that 94/11*h**2 + 2/11*h**3 + 112*h + 264 = 0.
-22, -3
Let x = 12051/66220 + -1/6020. Let -x*l**3 - 16/11*l - 8/11 - 10/11*l**2 = 0. Calculate l.
-2, -1
Let l be 0/(-6*12/72). Factor -4/5*h**5 - 4/5*h + 0*h**4 + 0 + 8/5*h**3 + l*h**2.
-4*h*(h - 1)**2*(h + 1)**2/5
Let k(p) = -45*p**2 - 110*p + 5. Let y(x) = 64*x**2 + 165*x - 7. Let r(t) = -7*k(t) - 5*y(t). Factor r(i).
-5*i*(i + 11)
Let x(u) be the third derivative of 28*u**2 + 0*u + 5/48*u**6 + 0*u**3 - 1/6*u**5 + 0*u**4 - 1/84*u**7 + 0. Suppose x(b) = 0. What is b?
0, 1, 4
Let w(f) = 3*f + 38. Let s be w(-12). Suppose 6 - 12 + 6 - p**3 - p**s = 0. What is p?
-1, 0
Suppose -6 - 15 = -3*c. Factor -24*i + c - 2*i**3 + 9 + 26*i**2 - 14*i**2.
-2*(i - 2)**3
Let u(z) be the first derivative of -z**6/6 - 3*z**5/5 + z**4/2 + 2*z**3 - z**2/2 - 3*z - 102. Find f such that u(f) = 0.
-3, -1, 1
Let p(a) be the second derivative of 1/10*a**6 - 1/3*a**3 + 1/10*a**5 + 0 - 1/4*a**4 + 0*a**2 - 4*a. Factor p(u).
u*(u - 1)*(u + 1)*(3*u + 2)
Let r(h) be the third derivative of 0*h**3 + 2/3*h**7 + 0 + 14/15*h**5 + 0*h + 1/3*h**4 + 25/168*h**8 + 23/20*h**6 - 12*h**2. Factor r(l).
2*l*(l + 1)**2*(5*l + 2)**2
Let q(b) be the third derivative of -b**5/15 - 16*b**4/3 - 62*b**3/3 - 34*b**2. Factor q(j).
-4*(j + 1)*(j + 31)
Let f(k) = -k**3 - 6*k**2 + 162*k + 32. Let z be f(-16). Factor 0*v - 2/5*v**5 + 2/5*v**4 + z + 2/5*v**3 - 2/5*v**2.
-2*v**2*(v - 1)**2*(v + 1)/5
Suppose 12/7*c**2 - 2/7*c**3 - 6/7*c - 20/7 = 0. Calculate c.
-1, 2, 5
Let u be (108/(-42))/(-1) + 3/7. Determine m, given that -8*m**2 - 32 + 48*m - 12*m**u + 4*m**4 - 15*m + 15*m = 0.
-2, 1, 2
Factor 71*g + 35*g + 162 + 11*g + g**3 - 24*g**2 + 212 - 36.
(g - 13)**2*(g + 2)
Let b be (5/(10/7))/(-4 + 11). Factor -2*z**2 + b*z**3 + 0 + 3/2*z.
z*(z - 3)*(z - 1)/2
Let p be ((-4)/(-18))/((-202)/(-303)). Let u = -133/3 + 45. Determine k so that -1/3*k - 1/3*k**5 - p*k**4 + u*k**2 + 2/3*k**3 - 1/3 = 0.
-1, 1
Let d(r) be the second derivative of 3/4*r**3 + 0 - r + 3*r**2 - 1/8*r**4. What is o in d(o) = 0?
-1, 4
Determine k so that -1352*k**2 - 29*k**3 - 58*k**3 - 2*k**4 - 17*k**3 = 0.
-26, 0
Let x(d) = d**3 + 2*d**2 - 5. Let h be x(-2). Let a be (3/8)/(h + (-724)/(-144)). Factor 9*u + 6*u**3 + a*u**2 + 3/2.
3*(u + 1)**2*(4*u + 1)/2
Let b(d) be the second derivative of d**7/294 - d**6/70 - d**5/140 + d**4/28 + 83*d. Find k such that b(k) = 0.
-1, 0, 1, 3
What is g in -1/5*g**4 + 8/5*g - 9/5 - 8/5*g**3 + 2*g**2 = 0?
-9, -1, 1
Let j = 422 - 252. Let z be (8 - 6 - 6)*-11. Factor -219*v**3 + 41*v**2 - 48*v**5 - 33*v - j*v**2 + 41 - z - 168*v**4.
-3*(v + 1)**3*(4*v + 1)**2
Suppose 20 = 5*w - w, 5*o + 5 = w. Let j(b) be the second derivative of 7*b - 1/6*b**3 - 1/24*b**4 + 0 + o*b**2. Factor j(h).
-h*(h + 2)/2
Let v = -8 - -19. Suppose -4*w + 1 + v = 0. Find d such that w*d**3 + 4*d**3 + 8 - 23*d**3 - 4*d**5 + 20*d - 7*d**4 + 8*d**2 - 9*d**4 = 0.
-2, -1, 1
Suppose 3*f + 48*n + 30 = 53*n, 2*f + n - 6 = 0. Solve 0*k**4 + f*k + 0*k**2 - 1/2*k**5 + 1/2*k**3 + 0 = 0.
-1, 0, 1
Let g be (-7)/42 + 25/6. Let t(b) be the second derivative of 1/9*b**g + 0*b**2 - 1/45*b**6 + 0*b**3 + 0 - 1/30*b**5 - b. Factor t(s).
-2*s**2*(s - 1)*(s + 2)/3
Suppose 6 = -3*x + 3*q, -x + 37*q - 42*q + 22 = 0. Factor -5/3*l**x + 0 - l**3 + 2/3*l.
-l*(l + 2)*(3*l - 1)/3
Let a(t) = t**3 - 4*t**2 + t - 2. Let g be a(4). Suppose -43*v - 3*v**g + 22*v + 24*v = 0. Calculate v.
0, 1
Let 0 + 1/3*f**5 + 0*f - 4*f**2 + f**4 - 4/3*f**3 = 0. What is f?
-3, -2, 0, 2
Let n(j) = 11*j**2 - 13*j + 79. Let o(s) = -8*s**2 + 9*s - 53. Let r(w) = -5*n(w) - 7*o(w). Factor r(u).
(u - 4)*(u + 6)
Let l(v) be the second derivative of -v**7/98 - v**6/70 + 24*v**5/35 + 8*v**4/7 - 128*v**3/7 - 384*v**2/7 - 179*v. Find p, given that l(p) = 0.
-4, -1, 4
Suppose -a + 2 + 2 = 0. Suppose 4*q + 3*r = 18, -q + 3*r - 15 = -a*q. Find m, given that -6*m + 6*m**3 - 3 + 3 + q*m**4 - 6 + 3 = 0.
-1, 1
Let p(g) be the third derivative of -11*g**2 + 3/140*g**7 - 3/40*g**5 + 0*g**3 + 0 + 1/48*g**6 + 1/24*g**4 + 0*g - 1/96*g**8. Determine z, given that p(z) = 0.
-1, 0, 2/7, 1
Suppose 5*l = -2*b + b - 21