e third derivative of 0*o + 0 + 0*o**4 + 1/60*o**5 - 1/420*o**7 - 8*o**2 + 1/240*o**6 + 0*o**3. Factor w(v).
-v**2*(v - 2)*(v + 1)/2
Let w(y) be the third derivative of y**8/448 + y**7/70 + 3*y**6/160 + 54*y**2 + y. Let w(n) = 0. Calculate n.
-3, -1, 0
Let r(y) = 2*y**2 + 8*y - 22. Let u be r(2). Let t(l) be the first derivative of -2/9*l + 3 + 0*l**u + 2/27*l**3. Suppose t(i) = 0. What is i?
-1, 1
Let u be ((-2)/(-7) - (-324)/(-252)) + 1. Let h(j) be the second derivative of u + 2/33*j**3 - 7*j + 1/66*j**4 + 1/11*j**2. Factor h(x).
2*(x + 1)**2/11
Determine t, given that -48/5*t + 4/5*t**2 - 112/5 = 0.
-2, 14
Let m(i) be the first derivative of 1/30*i**5 - 18 + 0*i**4 + 0*i**2 + 1/6*i - 1/9*i**3. Factor m(b).
(b - 1)**2*(b + 1)**2/6
Let g(h) = -84*h - 500. Let n be g(-6). Determine z so that 9/2*z**5 - 9/2*z**3 + 0 - 27/4*z**2 + 33/4*z**n - 3/2*z = 0.
-2, -1/2, -1/3, 0, 1
Find k such that -4*k**2 + 4 + 12 - 14*k**3 + 121*k + 116*k - 181*k = 0.
-2, -2/7, 2
Let c(a) be the second derivative of a**6/75 + 3*a**5/50 - 3*a**4/10 - 23*a**3/15 - 12*a**2/5 - 144*a. Find v such that c(v) = 0.
-4, -1, 3
Let z(t) = t**3 - 9*t**2 + 9*t - 9. Let n be z(8). Let h(y) = 3*y**2 + 2*y + 1. Let s be h(n). Factor 0*p**2 - s*p**2 - 20*p + p**5 + 19*p + 2*p**4.
p*(p - 1)*(p + 1)**3
Let c = -876 - -878. Let h(f) be the first derivative of 0*f**3 - 9/20*f**4 + 6/5*f**c + 7 + 0*f + 3/25*f**5. Factor h(t).
3*t*(t - 2)**2*(t + 1)/5
Let h(l) be the second derivative of l**6/1440 + l**5/480 - l**3/2 + 5*l. Let y(x) be the second derivative of h(x). Let y(v) = 0. Calculate v.
-1, 0
Factor 27*z + 24*z - 49 - 4*z**3 - 31 - 4*z**2 + 13*z.
-4*(z - 2)**2*(z + 5)
Suppose 0 = -2*r + 2*c - 294, -4*c = -2*r + 67 - 351. Let g = r - -156. What is t in -1/4*t**2 + 0*t - 1/4*t**g + 0 + 1/2*t**3 = 0?
0, 1
Let x = 23 + -8. Solve 11*s**3 - x*s**3 + 3*s**2 - 3*s**2 - 4*s**4 = 0.
-1, 0
Let i(j) be the first derivative of 2*j**3/21 - 10*j**2/7 - 6. Factor i(z).
2*z*(z - 10)/7
Let p = -3 + 3. Suppose p*u = 5*u + 30. Let r(h) = 2*h**2 - 8*h. Let v(t) = 4*t**2 - 15*t. Let k(z) = u*v(z) + 11*r(z). Factor k(s).
-2*s*(s - 1)
Factor 8/3 + 4/3*c**2 - 2/3*c**3 + 14/3*c.
-2*(c - 4)*(c + 1)**2/3
Suppose -4*s = -5*m - 6, m + 3*s - 12 = 2. Let o(w) = 4*w**2 - 10*w + 7. Let h be o(m). Suppose 1/4*t**2 + 0 - 1/4*t**h + 1/2*t = 0. What is t?
-1, 0, 2
Let t(a) be the first derivative of -1/9*a**3 + 0*a + 19 + 0*a**2 - 1/12*a**4. Factor t(v).
-v**2*(v + 1)/3
Let t(a) be the second derivative of 0*a**2 + 0 - 1/63*a**7 - 4/45*a**6 - 1/9*a**4 + 0*a**3 - 21*a - 1/6*a**5. Factor t(f).
-2*f**2*(f + 1)**2*(f + 2)/3
Let j = 8371/28 + -1454/7. Let t = j - 91. Determine m so that 1 + t*m**2 + m = 0.
-2
Let m(b) = b**3 - 9*b**2 - 6. Let l be m(9). Let u be (-16)/(-12) - 4/l. Factor -2 + 2*y**3 + 0*y**2 + 0*y + 4*y - 6*y**u + 2*y.
2*(y - 1)**3
Let a be ((-7)/14)/((-35)/112). Find b such that -a*b - 2/5*b**3 + 0 + 2*b**2 = 0.
0, 1, 4
Let a(w) be the second derivative of -w**7/28 + 27*w**6/20 - 207*w**5/20 - 293*w**4/4 - 645*w**3/4 - 675*w**2/4 + 862*w. Let a(t) = 0. What is t?
-1, 15
Let r(l) be the second derivative of -l**6/10 + 3*l**5/20 + 7*l**4/4 - l**3/2 - 9*l**2 - 389*l. Let r(a) = 0. Calculate a.
-2, -1, 1, 3
Let l = -226 + 2035/9. Let p(x) be the first derivative of -l*x**3 + 0*x - 1 - 1/3*x**2. Factor p(b).
-b*(b + 2)/3
Determine v so that -5/3*v**4 + 2/3*v**3 + 8/3*v**2 + 0 + 1/3*v**5 + 0*v = 0.
-1, 0, 2, 4
Suppose 27*r = 23*r + 12. Let 1/4*k**r + 0 + 0*k**2 - k = 0. What is k?
-2, 0, 2
Let u = 24 - 19. What is h in -4 + 88 + u*h**2 - 4 - 40*h = 0?
4
Factor 34/9 - 4*z + 2/9*z**2.
2*(z - 17)*(z - 1)/9
Let l = -58 - -62. Factor 11*q - 3*q - 6*q**4 + 10*q**4 + 0*q**4 - 8*q**3 - l.
4*(q - 1)**3*(q + 1)
Let x(y) = 36*y - 288. Let u be x(8). Let q(z) be the third derivative of u*z + 1/600*z**6 + 1/100*z**5 + 5*z**2 + 0 + 1/40*z**4 + 1/30*z**3. Solve q(d) = 0.
-1
Let h(m) = -m**3 + m - 6. Let y be h(-2). Let 1/2*w**2 + w - 1/2*w**3 + y = 0. What is w?
-1, 0, 2
Let h(d) be the third derivative of d**5/420 + 19*d**4/168 + 19*d**2 - 4. Suppose h(i) = 0. What is i?
-19, 0
Let n(o) be the second derivative of 0*o**3 + 0 + 3/2*o**2 - 1/4*o**4 + 20*o. Factor n(w).
-3*(w - 1)*(w + 1)
Suppose t - 2*s = 18, -2*t - 2 = -5*s - 40. Let z = -11 + t. Determine v so that -v**2 - 2 - 3*v**2 + 3*v + 6*v**2 - z*v**2 = 0.
1, 2
Let f(a) = -a**2 + 44*a + 245. Let j(z) = -3*z**2 + 88*z + 491. Let d be 35*9/((-135)/(-6)). Let i(c) = d*f(c) - 6*j(c). Let i(v) = 0. Calculate v.
-11
Let i(a) = 2*a**3 - a**2 - 2*a - 3. Let r(f) = -f**3 + f**2 + f + 2. Let t(g) = 2*i(g) + 3*r(g). Let p be t(2). Factor 4 + p*c + 30*c - 12*c + 49*c**2.
(7*c + 2)**2
Suppose -4*b + 26 = -22. Factor b*t**2 - 4*t**2 + 2*t + 7*t - 7*t**2.
t*(t + 9)
Let r be -2 - ((-26)/(-195) - 122/15). Let g be 77/35 + r/(-3 + 0). Factor -g*z**3 + 0 + 0*z**2 + 1/5*z.
-z*(z - 1)*(z + 1)/5
Let d(x) = 5*x**2 + 13*x - 8. Let b(a) = -2. Let o(t) = -2*b(t) + 2*d(t). Find u, given that o(u) = 0.
-3, 2/5
Let j(d) = -6*d**2 + 53*d + 11. Let g be j(9). Factor 9/4*o + 1/4*o**2 + g.
(o + 1)*(o + 8)/4
Let l be (-1)/((-6)/46) + 2/6. Suppose 13 = 5*z + 4*n - l*n, -z + 2*n - 1 = 0. Solve -3/7*o**3 + 1/7*o**4 - 2/7*o + 1/7*o**z + 0 - 5/7*o**2 = 0 for o.
-1, 0, 2
Let m(r) = r + 10. Let p be m(-7). Let v(n) be the second derivative of 5/3*n**p - 2/3*n**4 - 2*n**2 + 1/10*n**5 - 2*n + 0. Find u such that v(u) = 0.
1, 2
Let y = -20 - -25. Factor 2*u**5 + 10*u**4 + 0*u**4 - y*u + 5*u**2 + 3*u**5 - 15*u**2.
5*u*(u - 1)*(u + 1)**3
Let t(h) be the second derivative of -1/15*h**4 + 0*h**2 + 2/15*h**3 - 13*h + 0. Factor t(q).
-4*q*(q - 1)/5
Let g = 89 + -63. Suppose -5*h - 6 = -g. Factor -4 + 2 - 1 - h*n - 1 - n**2.
-(n + 2)**2
Let f be 8 + -7 + (72/(-30) - -3). What is i in 6/5*i**2 - 8/5*i**3 - 8/5 + 2/5*i**4 + f*i = 0?
-1, 1, 2
Let b(h) = -8*h**3 - 35*h**2 - 66*h - 34. Let r(q) = 20*q**3 + 88*q**2 + 164*q + 84. Let o(j) = -12*b(j) - 5*r(j). Factor o(g).
-4*(g + 1)**2*(g + 3)
Let n = 126 + -110. Suppose 24 = n*t - 8. Factor 4/9*h**t + 2/9*h**3 - 2/9*h - 4/9.
2*(h - 1)*(h + 1)*(h + 2)/9
Let b = 383/95 - -83/19. Let h(u) be the first derivative of -15 - 24/5*u + 21/25*u**5 + b*u**2 - 69/20*u**4 + 6/5*u**3. Find o such that h(o) = 0.
-1, 2/7, 2
Let f(k) = 2*k**2 - 47*k - 71. Let y be f(25). Let m be (4 - 3)/(1 + 0)*3. Solve 2*r**5 + 37/2*r**2 + 1 + 21/2*r**y + 41/2*r**m + 15/2*r = 0.
-2, -1, -1/4
Let u(f) be the second derivative of f**4/9 - 136*f**3/9 + 2312*f**2/3 - 3*f - 7. Suppose u(l) = 0. What is l?
34
Let k = 1945 + -1927. What is d in -8/7 + 68/7*d - 81/7*d**3 - k*d**2 = 0?
-2, 2/9
Suppose -g = 3*g - 320. Let o be (-23)/(-5) + (-48)/g. Factor 2*l**4 - 12 + l**o + 12 - 3*l**2.
3*l**2*(l - 1)*(l + 1)
Let p(z) be the third derivative of z**9/13608 + z**8/2520 + z**7/1260 + z**6/1620 - 5*z**3/2 + 22*z**2. Let g(t) be the first derivative of p(t). Factor g(d).
2*d**2*(d + 1)**3/9
Let q(m) be the third derivative of m**7/735 + 29*m**6/420 + 11*m**5/42 + 9*m**4/28 + 315*m**2. Determine y so that q(y) = 0.
-27, -1, 0
Let u(a) = -4*a - 43. Let y be u(-11). Suppose 0 = -3*z + 2*o, 3*o + 0 + y = 5*z. Suppose 2/9 - 10/9*r + 8/9*r**z = 0. What is r?
1/4, 1
Find r, given that -2/7*r**2 - 8/7*r + 2/7*r**3 + 8/7 = 0.
-2, 1, 2
Suppose 5*k - 72 = -13*k. Let y(u) be the first derivative of 0*u - 2 - 1/9*u**3 + 1/15*u**5 + 0*u**2 + 1/18*u**6 - 1/12*u**k. Let y(l) = 0. Calculate l.
-1, 0, 1
Let f = 53 - 35. Let 3*m**3 - 3*m**5 + 12*m**4 + 6 - 21*m**4 - f + 21*m**2 = 0. What is m?
-2, -1, 1
Factor 0 - 21/2*q**2 + 1/2*q**3 - 11*q.
q*(q - 22)*(q + 1)/2
Let q(i) be the first derivative of -25/3*i + i**3 - 5/2*i**2 - 12 - 1/12*i**4. What is m in q(m) = 0?
-1, 5
Solve 11*u**2 + 12*u**2 - 2 - 35*u - 38 - 18*u**2 = 0.
-1, 8
Factor -6/13*s + 2/13*s**2 + 4/13.
2*(s - 2)*(s - 1)/13
Let i(g) be the third derivative of g**5/60 + 17*g**4/24 - 3*g**3 - 2*g**2 + 6. Find n such that i(n) = 0.
-18, 1
Let z = 10 - 6. Suppose 0 = z*j + 3*w - 25, -2*j + 0*w - 1 = -3*w. Determine s so that 2*s**4 - 4*s**4 - 4*s + j*s**3 + s**2 + s**2 = 0.
-1, 0, 1, 2
Let o(s) be the first derivative of s**3/21 - s**2/2 - 8*s/7 + 238. Find y, given that o(y) = 0.
-1, 8
Let s be (42/8)/((-3)/(-8)). Let i = -9 + s. Factor -6*x**3 - 39*x**4 + 7*x**4 - 14*x**i - 16