) = -22*o**5 + 6*o**4 - 24*o**3 - 4*o**2 - 12. Let z(p) = 2*p**5 + p**3 - p**2 + 1. Let f(q) = -a(q) - 12*z(q). Determine b, given that f(b) = 0.
-4, -1, 0, 2
Suppose 2*c - o = -7, -4*o + 8 = -3*c - 0. Let t be c/18 - (-15)/27. Suppose 0 + 0*u + 0*u**3 + 0*u**2 + t*u**4 = 0. Calculate u.
0
Find f such that 16/5*f + 18/5 - 2/5*f**2 = 0.
-1, 9
Suppose 50 - 20 = 10*s + 5*s. Find l, given that l - 1/3*l**s - 2/3 = 0.
1, 2
Let b(r) be the third derivative of -r**7/105 - 7*r**6/10 - 26*r**5/5 - 38*r**4/3 + 464*r**2. Factor b(h).
-2*h*(h + 2)**2*(h + 38)
Let j(d) be the first derivative of -3*d**5/5 - 3*d**4 - 3*d**3 + 6*d**2 + 12*d + 264. Factor j(c).
-3*(c - 1)*(c + 1)*(c + 2)**2
Let k(i) be the third derivative of -i**7/1995 + i**5/285 - i**3/57 - 276*i**2. Factor k(u).
-2*(u - 1)**2*(u + 1)**2/19
Let k = -13 - -16. Factor -20*u**2 - 20*u + 0*u**2 - 5*u**k + 0*u**2.
-5*u*(u + 2)**2
Suppose -35 = -5*u - 0*u. Suppose -4*a**2 + 0*a**2 + 4 - u*a - 12 - 5*a = 0. Calculate a.
-2, -1
Let b(w) be the third derivative of w**5/30 - 31*w**4/6 + 961*w**3/3 + 158*w**2. Factor b(a).
2*(a - 31)**2
Suppose 0*x - 57*x = 0. Suppose -1/4*l**3 + 1/2*l**2 + 0 + x*l = 0. Calculate l.
0, 2
Let w(f) = 2*f**2 - 17*f + 12. Let h be w(8). Suppose 0 = 5*t - h*a + 10, -3*t - 23 = -7*t - 3*a. Factor 4/7*l + 0*l**t + 2/7 - 2/7*l**4 - 4/7*l**3.
-2*(l - 1)*(l + 1)**3/7
Let k(s) be the second derivative of 1/252*s**7 + 47*s + 1/60*s**6 - 1/6*s**4 - 1/60*s**5 + 0 - 2/9*s**3 + 0*s**2. Suppose k(z) = 0. What is z?
-2, -1, 0, 2
Let y(p) be the first derivative of 40/9*p**2 + 4/3*p - 49/36*p**4 + 119/27*p**3 + 11. Factor y(n).
-(n - 3)*(7*n + 2)**2/9
Let w(r) be the first derivative of -5*r**6/6 + 11*r**5/5 + 13*r**4/4 - 23*r**3/3 - 8*r**2 + 4*r + 69. Determine z so that w(z) = 0.
-1, 1/5, 2
Let y(i) be the third derivative of -i**7/315 - 7*i**6/180 - i**5/5 + i**4/24 - 12*i**2. Let v(z) be the second derivative of y(z). Let v(g) = 0. Calculate g.
-2, -3/2
Let t(z) = -z**3 + 127*z**2 + 1152*z + 1014. Let n(o) = 2*o**3 - 190*o**2 - 1728*o - 1520. Let l(g) = 5*n(g) + 8*t(g). Factor l(m).
2*(m + 1)*(m + 16)**2
Let r(f) be the first derivative of f**4/8 - f**3/6 - 322. Factor r(u).
u**2*(u - 1)/2
Let l(u) be the second derivative of 0*u**2 - 1/78*u**4 + 2/39*u**3 + 10*u + 0. Factor l(t).
-2*t*(t - 2)/13
Let d(y) be the first derivative of -y**5/20 - 3*y**4/8 + 2*y**3 + 17*y**2/2 + 21. Let m(b) be the second derivative of d(b). Solve m(z) = 0.
-4, 1
Let n(v) be the first derivative of -3/2*v**4 + 3*v**2 + 24 - 16/3*v**3 + 0*v. Let n(j) = 0. Calculate j.
-3, 0, 1/3
Let w(y) be the second derivative of 2*y**6/15 - 7*y**5/5 - 2*y**4/3 + 40*y**3 - 144*y**2 - 3*y - 10. What is z in w(z) = 0?
-3, 2, 6
Let b(s) = -s**3 + 1. Let v(o) = 76*o**3 + 20*o**2 - 64*o + 40. Suppose 3*t = -4*k + 68, 2*t - 6*t + 5*k = -101. Let d(f) = t*b(f) - v(f). Factor d(i).
-4*(i + 1)*(5*i - 2)**2
Let p(m) be the second derivative of -29*m - 1/54*m**4 + 0 - 10/9*m**2 - 7/27*m**3. Factor p(v).
-2*(v + 2)*(v + 5)/9
Let i(y) be the first derivative of y**3/3 + y**2 - 3*y + 282. Factor i(c).
(c - 1)*(c + 3)
Suppose 10*n + 0*n = -100. Let k be (-1)/n*(45 - 29). Factor -k*w + 0 + 2/5*w**4 + 16/5*w**2 - 2*w**3.
2*w*(w - 2)**2*(w - 1)/5
Let s(m) = m**3 + 6*m**2 + 34*m + 149. Let d be s(-5). Factor -45/4*b + 3/4*b**5 - 15/2*b**3 - 3 - 15*b**2 + 0*b**d.
3*(b - 4)*(b + 1)**4/4
Let m be 4/(-38) + (-1326)/(-323). Suppose -m*k = -4*k - 6*k. Suppose k + 2*p**3 + 6/7*p**2 - 10/7*p**5 - 6/7*p**4 - 4/7*p = 0. Calculate p.
-1, 0, 2/5, 1
Suppose 0 = 5*f + 2*m - 39, 3*m = f + 1 - 2. Find i such that -12*i**3 + 7*i**3 + 27*i - i**5 + i**4 - 13*i**3 + f*i**4 = 0.
-1, 0, 3
Suppose 2786047 - 42*p - 2786047 + 2*p**3 + 8*p**2 = 0. What is p?
-7, 0, 3
Let h(z) be the second derivative of z**6/255 + z**5/34 + z**4/17 - 4*z**3/51 - 8*z**2/17 - 99*z. Let h(i) = 0. Calculate i.
-2, 1
Let a be 4 + -1*(-51)/(-26). Let r = a - -331/182. Solve -r*w**2 + 6/7*w + 0 = 0.
0, 2/9
Suppose -a + 286 = 2*n - 231, -4*n - 3*a + 1029 = 0. Solve 267 - 9*v - n + 3*v**2 + 0*v = 0.
1, 2
Suppose 0 = -b + 1 + 3. Solve 12*d**2 - 8*d - 12 + 0*d + 4*d**3 + b*d = 0 for d.
-3, -1, 1
Let r be (382/(-9))/((-8)/(-24)). Let f = 128 + r. Factor -f*b**2 + 2/3*b**4 + 2/3*b**5 - 2/3*b**3 + 0*b + 0.
2*b**2*(b - 1)*(b + 1)**2/3
Let b(n) be the first derivative of n**3/24 + n**2/4 + n/2 + 141. Factor b(r).
(r + 2)**2/8
Let g be 2/25*(7 + (-815)/120). Let k(y) be the second derivative of -g*y**5 + 0*y**2 - 4*y + 1/36*y**4 + 0 + 0*y**3. Factor k(s).
-s**2*(s - 1)/3
Suppose -503 = -0*x - x. Let 3*t**2 - 507 + t**3 - 2*t**3 + x = 0. What is t?
-1, 2
Suppose -2*n + 17 = 11. Let l(a) be the third derivative of 0*a**n - 1/96*a**4 - 2*a**2 + 0*a - 1/240*a**5 + 0. Suppose l(o) = 0. Calculate o.
-1, 0
Determine g so that 3/7*g + 9/7 - 9/7*g**2 - 3/7*g**3 = 0.
-3, -1, 1
Let o(t) = -5*t**2 + 12*t + 32. Let z be o(4). Let -g**2 - 1/2*g + 1/2*g**3 + z + g**4 = 0. What is g?
-1, -1/2, 0, 1
Let n = -2 - -7. Let p = -2 + n. Factor -2*c**2 - 3*c**5 - c**2 - 5*c**3 - 9*c**4 - 2*c**3 - 2*c**p.
-3*c**2*(c + 1)**3
Let m be 1011/(-337) - 3/(3/(-8)). Factor 2/5*g**2 - 2/5*g**3 - 1/5*g**m + 1/5 - 3/5*g**4 + 3/5*g.
-(g - 1)*(g + 1)**4/5
Let k(l) = 2*l**2 + 37*l + 172. Let i be k(-10). Factor 1/5*t**5 + 1/5*t + 0 + 0*t**i + 0*t**4 - 2/5*t**3.
t*(t - 1)**2*(t + 1)**2/5
Let w(o) be the third derivative of 5*o**7/168 - o**6/4 + 23*o**5/30 - o**4 + 2*o**3/3 + 36*o**2 - 1. Suppose w(u) = 0. Calculate u.
2/5, 2
Let p = -273 - -278. Let v(k) be the third derivative of 0*k**3 + 1/120*k**6 + 2/75*k**p + 1/1050*k**7 + 1/30*k**4 + 0*k + 3*k**2 + 0. Factor v(i).
i*(i + 1)*(i + 2)**2/5
Let g be (-1 + 2)*-1 + 6. Let v be (96/(-54)*3)/(-2) + 5/15. Let -14/5*o**v + 14/5*o**4 + 0 + 0*o - 4/5*o**g + 4/5*o**2 = 0. What is o?
0, 1/2, 1, 2
Let w(k) = -k**2 + 5*k - 19. Let n be w(11). Let r = -81 - n. Factor 54*j**r + 2/3 + 8*j + 36*j**2 + 72*j**3.
2*(3*j + 1)**4/3
Let x be (28/(-147))/(8/(-84)). Suppose -2/7*r**2 - x*r - 12/7 = 0. What is r?
-6, -1
Let d(x) be the first derivative of -x**5/240 + x**3/6 - 3*x**2 - 20. Let p(i) be the second derivative of d(i). Determine j, given that p(j) = 0.
-2, 2
Suppose 0*s - 5*s - 4*s = 0. Let l(c) be the third derivative of s*c**3 + 0*c - c**2 + 0*c**4 + 1/540*c**6 + 0 + 1/270*c**5. Factor l(t).
2*t**2*(t + 1)/9
Let l(o) be the third derivative of 0*o + 1/24*o**6 + 0*o**3 + 0 + 1/10*o**5 + 0*o**4 - 18*o**2 + 1/210*o**7. Find t, given that l(t) = 0.
-3, -2, 0
Let w = 1304 - 3868/3. Let n = -877 - -893. Find f such that -4*f**5 - 12*f**3 + w*f**4 - 28/3*f**2 - 16/3 + n*f = 0.
-1, 2/3, 1, 2
Let s(b) = 8*b**3 - 119*b**2 + 113*b + 225. Let w(q) = 26*q**3 - 358*q**2 + 340*q + 674. Let f(l) = -10*s(l) + 3*w(l). Find u, given that f(u) = 0.
-1, 2, 57
Let k(j) = 8*j - 4. Let t be k(12). Factor t*f**2 - 4*f**4 - 90*f**2 + 5*f**3 - 3*f**4.
-f**2*(f - 1)*(7*f + 2)
Let o(v) = -4*v**3 + 3*v**2 - 2*v + 3. Let k(x) = 3*x**3 - 3*x**2 + 2*x - 2. Let p(a) = -3*k(a) - 2*o(a). What is y in p(y) = 0?
0, 1, 2
Let m(y) be the second derivative of 0 - 1/4*y**3 + 3/4*y**2 + 3/80*y**5 + 15*y + 1/80*y**6 - 3/32*y**4. Factor m(s).
3*(s - 1)**2*(s + 2)**2/8
Let j(o) = -3*o - 8*o + 6*o**2 + 22*o. Let r(t) = t**2 + 2*t. Suppose -l + 0*l = 4. Let f(a) = l*j(a) + 22*r(a). Solve f(z) = 0 for z.
0
Let c(k) be the second derivative of -64/15*k**3 - 16/5*k**2 - 12/5*k**4 - 16/25*k**5 + 0 - 15*k - 1/15*k**6. Factor c(i).
-2*(i + 2)**3*(5*i + 2)/5
Let v = -150 - -153. Let w be (16/(-4))/(1 - 2). Let 2*k**2 - 4/3 + 2*k**w - 2*k + 14/3*k**v = 0. Calculate k.
-1, 2/3
Let v(m) be the second derivative of -m**4/48 - 17*m**3/6 - 67*m**2/8 - 330*m. Factor v(s).
-(s + 1)*(s + 67)/4
Let m = -105364/3 + 35130. Let 169/3 + 1/3*t**2 + m*t = 0. What is t?
-13
Let s(k) be the second derivative of -1/6*k**3 - 1/8*k**4 + 0 - 17*k + 1/84*k**7 + 0*k**2 + 1/20*k**6 + 1/40*k**5. Determine n so that s(n) = 0.
-2, -1, 0, 1
Let g(p) be the first derivative of p**4/12 - p**3/2 + p**2 - 3*p + 18. Let q(y) be the first derivative of g(y). Factor q(f).
(f - 2)*(f - 1)
Let o(m) be the second derivative of 5*m**4/12 - 25*m**3/6 + 10*m**2 - 83*m. Factor o(s).
5*(s - 4)*(s - 1)
Let l(u) be the second derivative of -u**7/1680 + u**6/270 + u**5/180 + u**4/12 - 11*