second derivative of -o**6/600 - o**5/100 - o**4/40 - o**3/3 + 9*o. Let m(x) be the second derivative of k(x). Solve m(y) = 0.
-1
Let k(o) be the first derivative of 5*o**3/3 + 10*o**2 + 20*o + 185. Factor k(f).
5*(f + 2)**2
Let b(c) = 34*c**3 + 1. Let h be b(1). Suppose -6*m = -m - h. Suppose -o**3 - 5*o**2 + 2*o**4 + 4*o**3 + 2*o - m*o**3 + o**4 = 0. What is o?
-1, 0, 1/3, 2
Let p(z) be the first derivative of 3*z**5/5 - 57*z**4/20 + 27*z**3/5 - 51*z**2/10 + 12*z/5 - 128. Solve p(a) = 0 for a.
4/5, 1
Let p(a) be the first derivative of 2/27*a**3 + 0*a - 3 + 0*a**2. Determine g, given that p(g) = 0.
0
Let m(f) be the second derivative of 0 + 2*f**2 - 2/3*f**3 - 1/12*f**4 + 2*f + 1/20*f**5. Find g such that m(g) = 0.
-2, 1, 2
Let b(x) be the second derivative of x**4/18 + 7*x**3/9 + 10*x**2/3 + 12*x - 2. Factor b(w).
2*(w + 2)*(w + 5)/3
Suppose -56/5*m - 36/5*m**2 + 44/5*m**3 + 32/5 - 8/5*m**4 = 0. Calculate m.
-1, 1/2, 2, 4
Let u be (-16)/4*3/(-4). Let h be (8/(-60)*-10)/(5/u). Suppose 2/5*y + h - 2/5*y**2 = 0. What is y?
-1, 2
Let g be (-27425)/70*(-16)/(-10). Let r = g + 628. Factor 0*l - 8/7*l**3 + 0*l**2 + r*l**4 - 2/7*l**5 + 0.
-2*l**3*(l - 2)**2/7
Suppose -m - 16 = -4*f, 2*f + 2*m = -f + 23. Suppose 5*c + 0*h = 4*h + 16, 0 = f*h - 5. Factor 4*i**5 + 0*i**4 - 5*i**5 + 3*i**c - i**4.
-i**4*(i - 2)
Suppose 2*c - 3 = -5*y, 2*c - 3*c - y - 6 = 0. Let s = c + 14. Factor 0 - 3/4*f**s + 3/4*f**2 - 1/4*f + 1/4*f**4.
f*(f - 1)**3/4
Find z, given that 88/5 + 4/5*z**2 - 52/5*z = 0.
2, 11
Let j be 0/(-8 - -6) - 12/(-18). Suppose -2/3*x**3 + 0*x + 0 + 2/3*x**4 + j*x**5 - 2/3*x**2 = 0. What is x?
-1, 0, 1
Let u(q) be the second derivative of -q**8/560 + q**6/100 - q**4/40 - 7*q**2/2 - 15*q. Let c(p) be the first derivative of u(p). Let c(z) = 0. Calculate z.
-1, 0, 1
Let k(t) be the third derivative of -t**6/96 - t**5/16 + 10*t**2 - 1. Factor k(b).
-5*b**2*(b + 3)/4
Suppose -1481 = 14*z - 1509. Determine v, given that 2/11 + 6/11*v**z + 6/11*v + 2/11*v**3 = 0.
-1
Let y(m) be the third derivative of 2 - 2*m**2 + 5/12*m**3 + 1/24*m**4 + 1/600*m**5 + 0*m. Factor y(q).
(q + 5)**2/10
Let j(g) be the first derivative of 4*g**3/9 - 4*g**2/3 + 63. Find k, given that j(k) = 0.
0, 2
Let a(l) be the third derivative of l**5/390 - l**4/12 + 22*l**3/39 + 81*l**2. Solve a(h) = 0 for h.
2, 11
Let g(h) = h**3 + 20*h**2 + 21*h + 41. Let m be g(-19). Find j such that 0*j + 16/9*j**m + 4/9*j**4 + 4/3*j**2 + 0 = 0.
-3, -1, 0
Let s(l) be the second derivative of l**5/20 - l**4/6 - 4*l**3/3 - 96*l. Factor s(v).
v*(v - 4)*(v + 2)
Let b(d) = -2*d**2 - 38*d - 32. Let l be b(-18). Let x = 7 - l. Factor -20*n**x - 15/2*n**2 + 15/2*n**4 + 0 + 0*n.
5*n**2*(n - 3)*(3*n + 1)/2
Factor -14*l - 40/3 - 2/3*l**2.
-2*(l + 1)*(l + 20)/3
Let h(o) be the second derivative of -5/6*o**4 + 2/3*o**3 + 2/5*o**5 + 0 + 0*o**2 - 1/15*o**6 + 10*o. What is s in h(s) = 0?
0, 1, 2
Let c(q) = 496*q - 9418. Let u be c(19). Determine f so that 0*f + 0 - 3/2*f**3 - u*f**2 = 0.
-4, 0
Let t(h) = 55*h**4 - 105*h**3 + 385*h**2 - 215*h + 25. Let m(u) = 9*u**4 - 18*u**3 + 64*u**2 - 36*u + 4. Let y(c) = 25*m(c) - 4*t(c). Factor y(d).
5*d*(d - 2)**3
Suppose -3*p + 7*s - 33 = 0, 15*p = 13*p + 2*s - 6. What is v in 14/5*v - 3/5 - 19/5*v**2 + 4/5*v**p + 4/5*v**4 = 0?
-3, 1/2, 1
Let v be 71/142*0/(-2). Let w(n) be the first derivative of v*n**3 + 0*n**5 + 0*n + 9 + 0*n**2 - 1/24*n**6 + 1/16*n**4. Factor w(l).
-l**3*(l - 1)*(l + 1)/4
Find l such that -2/7*l**4 + 0*l**2 + 0 + 26/7*l**3 + 0*l = 0.
0, 13
Let l = 36613/5 + -7392. Let j = l + 70. Factor -j*n + 1/5*n**2 + 0.
n*(n - 3)/5
Factor 366*d - 236*d - 503*d + 2904 + 564*d**3 - 567*d**3 - 126*d**2 - 815*d.
-3*(d - 2)*(d + 22)**2
Let p = 32 + -30. Factor -14*c**2 - 22*c + 10*c**p - 16 + 6*c.
-4*(c + 2)**2
Let b = 5461/1210 + -8/605. Factor b*u**4 + 3/2*u**2 - 3/2*u**5 - 9/2*u**3 + 0 + 0*u.
-3*u**2*(u - 1)**3/2
Let b = -4/3795 + 1688/1265. Factor 0 + 0*f**3 - b*f**2 + 0*f - 1/3*f**5 + f**4.
-f**2*(f - 2)**2*(f + 1)/3
Let u be (-264719)/252 - 2/(-9). Let o = u + 1057. Factor -9/2*y - o - 3/4*y**2.
-3*(y + 3)**2/4
Let p(s) = -6*s**4 - 6*s**3 + 3*s - 3. Let f(r) = 11*r**4 + 11*r**3 - 5*r + 5. Let h be -2 + (-5)/(-4) + (-15)/(-4). Let q(u) = h*f(u) + 5*p(u). Solve q(g) = 0.
-1, 0
Suppose 8*x = 6*x + 50. Factor -2 - w**3 - 4*w**3 + x*w**2 + 22 - 40*w.
-5*(w - 2)**2*(w - 1)
Factor 80*x - 65*x**2 + 28*x**2 - 1 - 38*x**2 - 4.
-5*(x - 1)*(15*x - 1)
Let d(s) = 5*s**4 + 2*s**3 + s**2. Let i(u) = 6*u**4 + 3*u**3 + 2*u**2. Let t(f) = -5*d(f) + 4*i(f). Solve t(c) = 0.
-1, 0, 3
Factor -9/4*h**3 + 0*h**2 + 3/4*h**4 + 0 + 3*h.
3*h*(h - 2)**2*(h + 1)/4
Let g(q) be the third derivative of -q**6/480 - q**5/240 + 5*q**4/4 - 39*q**3/2 - q**2 - 6. Factor g(x).
-(x - 6)**2*(x + 13)/4
Suppose 4*d = 8*d. What is x in -88*x + d - 2*x**2 + 2 + 88*x = 0?
-1, 1
Let g(j) = 6*j**2 + 5*j + 2. Let f(h) = -h**2 - h - 2. Let x(p) = 4*f(p) + g(p). Suppose x(m) = 0. What is m?
-2, 3/2
Suppose 0 = -4*d + 2*u + 20, 4*u + 14 = 5*d - 11. Suppose 4*j - 17 = d*w - 1, -4 = -j. Solve w + 3/4*k**4 + 3/2*k**3 - 3/4*k**2 - 3/2*k = 0.
-2, -1, 0, 1
Let g(p) = -p**4 - 23*p**3 - 10*p**2 + 27*p - 12. Let j(w) = w**4 - w**3 + w**2 - w - 1. Let z(m) = 2*g(m) - 6*j(m). Factor z(l).
-2*(l + 3)**2*(2*l - 1)**2
Let f = -16321/6 - -4743/2. Let q = f + 358. Factor -52/3*t**2 - 92/3*t**4 - 36*t**3 - q*t**5 + 0 - 8/3*t.
-4*t*(t + 1)**3*(7*t + 2)/3
Let y(r) = 10*r**2 + 45*r. Let n(q) = 9*q**2 + 47*q. Let d(f) = -5*n(f) + 4*y(f). Determine j, given that d(j) = 0.
-11, 0
Let j = -3 - -6. Let a be ((-18)/12)/(j/(-4)). What is l in -l**3 - l**3 - 6 - 2*l**3 + 3*l + l**3 + 6*l**a = 0?
-1, 1, 2
Suppose 5*h - 5*k = -4*k + 11, -h + 11 = 2*k. Let y(q) be the first derivative of -27*q + 5*q**h + 2 - 3/4*q**4 - 9/2*q**2. Factor y(n).
-3*(n - 3)**2*(n + 1)
Let y(u) be the second derivative of 1/54*u**4 + 1/60*u**5 + 0*u**3 + 0 + 1/270*u**6 - 19*u + 0*u**2. Factor y(o).
o**2*(o + 1)*(o + 2)/9
Let b be 3 + -1 - (0 + -1). Let x be (-48)/(-119) - 40/340. Suppose -2/7*a**5 - 2/7*a**2 + x*a**4 + 10/7*a**b - 8/7 - 16/7*a = 0. Calculate a.
-1, 2
Let t(i) = i**2 + 10*i. Let p be t(-9). Let q = -6 - p. Factor q*v + 0*v**3 - v - 2*v**3 - v + v**5.
v*(v - 1)**2*(v + 1)**2
Let c be 4*2 + (-1 - 1). Let -9 + 9*t**5 - 3*t**4 + c + 7*t**2 - 1 - 17*t**3 + 8*t = 0. Calculate t.
-1, 2/3, 1
Let h be (12/(-176))/((-162)/297). Let 1/8*q**2 + 0 - 1/8*q**4 + h*q**3 - 1/8*q = 0. What is q?
-1, 0, 1
Let y = -3 + 6. Suppose -3*a + 3 = -y. Find i, given that 4*i**2 - 4 + 2 - 2*i**a = 0.
-1, 1
Suppose -1106 + 1124 = 9*l. Find m such that 0 + 5/2*m**5 + 5/2*m**3 + 5*m**4 + 0*m**l + 0*m = 0.
-1, 0
Let x(n) be the third derivative of n**8/336 + n**7/45 + n**6/18 + 2*n**5/45 - 131*n**2. What is r in x(r) = 0?
-2, -2/3, 0
Suppose -2*k + 4*n + 18 = 0, -5 = k + 5*n + 7. Let i be k - (4/(-6))/((-16)/24). Factor 2/3*l**i + 2/9*l**3 + 2/3*l + 2/9.
2*(l + 1)**3/9
Find w, given that 2*w**4 + 9*w**3 + w**3 - 2*w**3 + 3*w**2 - 9*w**2 + 16 - 20*w = 0.
-4, -2, 1
Suppose 34*t - 35*t + 8 = k, -28 = -2*k - 5*t. Solve f**2 - 2*f**3 + 3/2*f**5 + 1/2*f + 0 - f**k = 0 for f.
-1, -1/3, 0, 1
Factor 0 + 0*l - 169/3*l**2 + 26/3*l**3 - 1/3*l**4.
-l**2*(l - 13)**2/3
Factor -2/11*a**2 + 30/11*a + 0.
-2*a*(a - 15)/11
Factor 3 - 33*g**3 + 55*g**2 + 28*g**3 - 90*g - 3.
-5*g*(g - 9)*(g - 2)
Let d(w) = w**2 - 15*w - 6. Let h be d(16). What is g in 0*g**3 + 0*g**2 - 9*g**5 + h*g**5 - 3*g**2 + 3*g**4 - g**3 = 0?
-3, -1, 0, 1
Suppose 27 = -3*n + 9*n - 33. Let 10/3*b**3 - 25/2*b + 10/3 + n*b**2 = 0. What is b?
-4, 1/2
Let v(n) be the third derivative of n**5/570 - n**4/57 + 40*n**2. Suppose v(m) = 0. Calculate m.
0, 4
Let m(n) be the second derivative of 9*n**5/40 + 37*n**4/48 + n**3/12 - 19*n + 14. Find u such that m(u) = 0.
-2, -1/18, 0
Let k(s) be the second derivative of -4*s + 36/13*s**3 + 8/13*s**2 + 0 + 729/130*s**5 + 81/13*s**4. Solve k(b) = 0 for b.
-2/9
Let u(c) be the second derivative of -c**8/336 + c**6/24 + c**5/12 - 7*c**3/6 + 12*c. Let n(j) be the second derivative of u(j). Solve n(r) = 0 for r.
-1, 0, 2
Let l(z) be the second derivative of -z**5/10 - 31*z**4/6 - 280*z**3/3 - 588*z**2 + 52*z + 3. Let l(b) = 0. What is b?
-14, -3
Let n(c) be the third derivative of -7*c**6/320 + 11*c**5/40 + 3