erivative of b**5/60 + b**4/18 - 13*b**3/18 + 5*b**2/3 - 12*b. Factor c(d).
(d - 2)*(d - 1)*(d + 5)/3
Let f(u) be the second derivative of 0 - 1/4*u**4 + 3/2*u**3 + 3/2*u**2 + 4*u - 1/20*u**5. Let y(h) be the first derivative of f(h). Find i such that y(i) = 0.
-3, 1
Let p(k) = -3*k - 7. Let c be (9/(-12))/((-3)/(-12)). Let w be p(c). Factor -i**3 + 3*i**4 + 3*i**2 - 2*i**2 - 2*i**4 - 3*i**w.
i**2*(i - 2)*(i + 1)
Let m = -37541/2 + 18774. Suppose -1/2*i**3 + m - 15/2*i + 9/2*i**2 = 0. What is i?
1, 7
Suppose 4/5*f**3 + 6/5 - 8/5*f**2 - 4/5*f + 2/5*f**4 = 0. Calculate f.
-3, -1, 1
Let r = 215/228 + -11/57. Let l(a) be the second derivative of -r*a**4 + 4*a**3 + 0 - 3/10*a**5 + 1/10*a**6 - 6*a**2 - 3*a. Factor l(w).
3*(w - 2)*(w - 1)**2*(w + 2)
Factor -2 - 58/9*x - 4/3*x**2.
-2*(2*x + 9)*(3*x + 1)/9
Let b be (-7906)/(-649) + (-14 - -2). Factor -2/11*g**2 + 4/11*g + 0 + b*g**4 - 4/11*g**3.
2*g*(g - 2)*(g - 1)*(g + 1)/11
Let f(k) be the first derivative of k**5/210 - 5*k**4/84 + 4*k**3/21 - 15*k**2/2 + 13. Let o(a) be the second derivative of f(a). Solve o(j) = 0.
1, 4
Find g, given that -4*g**2 + 17*g**4 + 19 + 28*g**3 - 65 + 27 + 19 - 15*g**5 = 0.
-1, 0, 2/15, 2
Determine m, given that -108/5 - 2/5*m**3 - 24/5*m**2 - 18*m = 0.
-6, -3
Suppose 0 = b + 4*a + 8, -b + 3*b = a + 11. Let o = 17 - b. Factor -8 - 21*v**3 - 59*v - o*v + 7*v**3 - 8 - 60*v**2.
-2*(v + 2)**2*(7*v + 2)
Let f = 66 + -64. Suppose 2*w - f*z - 7 = -5*z, -5*z = 5. Solve -2/5*m**4 + 0 + 2/5*m**2 + 0*m**3 + 1/5*m**w - 1/5*m = 0.
-1, 0, 1
Let o(d) be the first derivative of -3*d**5/20 - 3*d**4/2 - 15*d**3/4 - 317. Determine u, given that o(u) = 0.
-5, -3, 0
Let v = 1176 + -1174. Factor -2/7*p + 0 - 2/7*p**v.
-2*p*(p + 1)/7
Let x be (-2 + (-1 - -1))/(-1 + 0). Let v = 2/11 + 5/33. Let -v*a**x + 0 + 2/3*a**3 + 0*a - 1/3*a**4 = 0. What is a?
0, 1
Let f be 8 + (-5)/(10/6). Factor -17*k**4 - 25*k**3 + 2*k**2 + 22*k**4 + 13*k**2 + f*k**5.
5*k**2*(k - 1)**2*(k + 3)
Suppose 0 = -79*b + 34*b + 90. Let x(o) be the second derivative of -1/4*o**3 + b*o - 1/48*o**4 - 9/8*o**2 + 0. Factor x(t).
-(t + 3)**2/4
Let f(u) be the third derivative of u**9/2016 + u**8/560 + u**7/560 + 4*u**3/3 - 9*u**2. Let v(g) be the first derivative of f(g). Solve v(o) = 0.
-1, 0
Let u = 166 - 139. Find v such that -v**2 + 6*v + 0*v + 29*v**3 - 7*v**2 - u*v**3 = 0.
0, 1, 3
Factor 0 + 2/3*b**5 + 16*b**2 + 6*b + 16/3*b**4 + 44/3*b**3.
2*b*(b + 1)**2*(b + 3)**2/3
Let w(n) = 2*n + 32. Let i be w(-4). Factor -69*b + i + b**3 + 6*b**3 - 22*b**3 + 33*b**2 + 30*b**2 - 3*b**4.
-3*(b - 1)**3*(b + 8)
Let u(w) = -6*w**3 - 27*w**2 + 162*w - 126. Let y(p) = -17*p**3 - 82*p**2 + 485*p - 378. Let g(i) = -8*u(i) + 3*y(i). Let g(c) = 0. Calculate c.
-14, 1, 3
Let o be (-45)/(-200) + (-16)/(-40). Let h(l) be the first derivative of 2 + 1/2*l - 7/12*l**3 - o*l**2. Factor h(p).
-(p + 1)*(7*p - 2)/4
Let l(b) be the first derivative of -21*b**4/4 - 61*b**3 + 258*b**2 - 132*b + 170. Factor l(z).
-3*(z - 2)*(z + 11)*(7*z - 2)
Let w(s) be the first derivative of s**6/720 + s**5/120 + s**4/72 + 3*s**2 + 2. Let l(z) be the second derivative of w(z). Factor l(k).
k*(k + 1)*(k + 2)/6
Let u(c) be the second derivative of -c**8/336 + c**7/42 - c**6/40 - c**5/12 + c**4/6 + 13*c**2/2 + c. Let j(l) be the first derivative of u(l). Solve j(a) = 0.
-1, 0, 1, 4
Let v(f) = 2 + 0 - 44*f + 34*f + 7*f**2 - f**3. Let n be v(5). Determine p so that -1/2 - p**n + 5/4*p + 1/4*p**3 = 0.
1, 2
Let v(f) = 10*f**5 + 34*f**4 - 2*f**3 - 44*f**2 - 8*f - 10. Let r(h) = h**4 - 2*h**2 - 1. Let w(l) = -20*r(l) + 2*v(l). Suppose w(n) = 0. Calculate n.
-2, -1, -2/5, 0, 1
Let t be (12/(-9))/((-10)/75*-5). Let s = t + 8/3. Factor 0*x**4 + 4/9*x**2 - s*x**3 + 0 + 0*x + 2/9*x**5.
2*x**2*(x - 1)**2*(x + 2)/9
Let i(k) be the first derivative of 2*k**3/9 - 6*k**2 + 30*k + 560. Suppose i(d) = 0. What is d?
3, 15
Let a be (3/6)/((-2)/(-8)). Let f = 5 - a. Factor -3*g**3 - 6*g**f - 3 - 12*g**2 + 3 - 3*g.
-3*g*(g + 1)*(3*g + 1)
Let x(s) = 2*s**2 - 32*s + 7. Let i be x(16). Let q(c) be the first derivative of 1/2*c**2 - i + 0*c + 1/6*c**3. Factor q(d).
d*(d + 2)/2
Let z(r) be the second derivative of 0 - 10*r**3 + 13/3*r**4 + 4*r**2 + 4*r. Let z(k) = 0. What is k?
2/13, 1
Let g(v) = -36*v**3 + 160*v**2 - 324*v + 184. Let b(f) = 7*f**3 - 32*f**2 + 65*f - 37. Let h(x) = 16*b(x) + 3*g(x). Find u such that h(u) = 0.
1, 2, 5
Let s = 9220 + -9218. Factor 12/5*h**s + 34/5*h**3 + 2*h**4 + 0*h + 0.
2*h**2*(h + 3)*(5*h + 2)/5
Let w(m) = -2*m**4 + 56*m**3 - 166*m**2 + 106*m. Let t(x) = x**4 - 2*x**3 + x**2 + x. Let v(d) = 6*t(d) + w(d). Suppose v(i) = 0. What is i?
-14, 0, 1, 2
Let a be -6 + -2 + 424/52. Suppose -2/13 - 8/13*j + a*j**2 + 8/13*j**3 = 0. Calculate j.
-1, -1/4, 1
Let b(j) be the first derivative of 0*j**2 + 1/100*j**5 + 1/15*j**4 + 5 - 2*j + 2/15*j**3. Let l(f) be the first derivative of b(f). Factor l(o).
o*(o + 2)**2/5
Let f(h) be the second derivative of -h**8/1680 + h**7/630 + h**6/90 - 5*h**4/4 - 25*h. Let r(v) be the third derivative of f(v). Suppose r(z) = 0. What is z?
-1, 0, 2
Let y(j) = -j**2 - 1. Let i(g) = g**2 + g - 6. Let x(o) = i(o) - 4*y(o). Let z(n) = n**2. Let s(q) = -x(q) + 4*z(q). Suppose s(l) = 0. What is l?
-2, 1
Let r(g) be the third derivative of -7*g**5/20 - 53*g**4/2 - 30*g**3 - 32*g**2 - 1. Let r(l) = 0. What is l?
-30, -2/7
Let o(t) be the first derivative of t**9/2520 - t**8/2100 - t**7/700 + t**6/450 + t**3 - 16. Let r(v) be the third derivative of o(v). Let r(s) = 0. What is s?
-1, 0, 2/3, 1
Let t(u) be the first derivative of 0*u + 0*u**2 - 8*u**4 + 12/5*u**5 + 5 + 16/3*u**3. Factor t(h).
4*h**2*(h - 2)*(3*h - 2)
Let f(l) be the first derivative of -2*l**7/105 + l**6/3 + 11*l**5/15 - 9*l**2/2 - 29. Let g(t) be the second derivative of f(t). Let g(w) = 0. What is w?
-1, 0, 11
Let n(w) = -2*w**3 - 94*w**2 - 7*w - 327. Let h be n(-47). Find y such that 3/7 - 8/7*y - 3/7*y**h = 0.
-3, 1/3
Let r(w) = 4*w**3 + 1. Let k be r(1). Suppose 4*a + k = 25. Suppose -99*v - 47*v**3 - 19 - 3*v**a - 8 - 27*v**4 - 43*v**3 - 138*v**2 = 0. Calculate v.
-3, -1
Let r be ((-5)/((-75)/(-9)))/(29/(-145)). Let u(f) = f**2 + 2*f - 3. Let z be u(3). Factor -50*y**r + y**2 + z*y**4 + 66*y**3 + 3*y**2.
4*y**2*(y + 1)*(3*y + 1)
Let g(h) = 29*h**2 + 308*h + 138. Let t(p) = 7*p**2 + 77*p + 34. Let a(j) = -2*g(j) + 9*t(j). Factor a(i).
(i + 15)*(5*i + 2)
Let i be (-4)/14 - 30/(-7). Suppose -47*a + 211 - 23 = 0. Factor 121*r**4 - 6*r**3 - 125*r**a + 4*r**2 - i*r**2 + 2*r**5.
2*r**3*(r - 3)*(r + 1)
Let w be (-894)/(-1772) - (9/6 + -1). Let k = 880/1329 + w. Find h, given that 0 + 2/3*h**2 + k*h = 0.
-1, 0
Let x(s) = 5*s**2. Let d be x(1). Suppose -4*h - 5*a = -3*h + 13, -4*a = 5*h - 19. Determine b so that -b**2 - 5 - 2*b**2 - h*b - d*b - 4 = 0.
-3, -1
Let z(a) be the first derivative of a**4/4 + a**3/3 - a**2 - 285. Factor z(f).
f*(f - 1)*(f + 2)
Let g(z) be the third derivative of z**8/672 + z**7/120 - z**6/96 - 7*z**5/60 - z**4/8 - 2*z**2 + 77. Determine v, given that g(v) = 0.
-3, -2, -1/2, 0, 2
Let p(g) be the first derivative of g**3/3 - 3*g + 2. Let y be p(3). Suppose 9*v**4 + 3*v**3 - 20*v**4 + 2*v**2 + y*v**4 = 0. What is v?
-2/5, 0, 1
Let v(i) be the third derivative of -i**6/1200 - 3*i**5/40 + 31*i**4/80 - 47*i**3/60 - 23*i**2 - 21*i. Factor v(n).
-(n - 1)**2*(n + 47)/10
Let t(h) = 3*h - 6. Let s be t(4). Let n be (-17 - 1)/(s/(-4)). Factor 2*u**2 + 3*u**3 + 4*u**2 + 3*u**4 - n*u**3.
3*u**2*(u - 2)*(u - 1)
Let q(p) = -p - 2. Let l be ((-2)/(-4))/(10/(-80)). Let u be q(l). Solve 54*s + 54 + 15*s**u + 2*s**3 + 0*s**3 + 3*s**2 = 0 for s.
-3
Let z(u) be the first derivative of -6/5*u**5 + 9/2*u**2 - 11 + 3/2*u**6 + 4*u**3 - 9/2*u**4 - 6*u. Determine y, given that z(y) = 0.
-1, 2/3, 1
Let p be 0 + 1 + 440/(-8) + 0. Let m be 2/9 - 24/p. Factor -1/3 - m*y - 1/3*y**2.
-(y + 1)**2/3
Let d(f) = -3*f**2 - 60*f. Let c be d(-20). Let z(o) be the second derivative of -1/18*o**4 + 7*o + c + 0*o**3 + 4/3*o**2. Factor z(t).
-2*(t - 2)*(t + 2)/3
Factor 18*w + 20*w**2 + 0 - 5*w**4 - 16*w**3 + 64 + w**5 + 78*w + 2*w**4.
(w - 4)**2*(w + 1)*(w + 2)**2
Let w(g) = 4*g**4 - 2*g**3 + 3*g**2 + 3*g - 3. Let z(k) = 7*k**4 - 3*k**3 + 5*k**2 + 5*k - 5. Let j(r) = -5*w(r) + 3*z(r). Let j(v) = 0. Calculate v