Let b(d) be the second derivative of d**7/168 - 3*d**6/40 + 13*d**5/40 - 5*d**4/12 - d**3 + 4*d**2 + 152*d. Find o such that b(o) = 0.
-1, 2, 4
Let o be (2/(-32)*-1)/(4/4). Let i(u) be the third derivative of 0*u**5 + 1/6*u**3 + o*u**4 + 0 + 4*u**2 + 0*u - 1/240*u**6. What is f in i(f) = 0?
-1, 2
Let d(o) = -77*o**3 + 624*o**2 - 684*o - 665. Let v(f) = 26*f**3 - 208*f**2 + 228*f + 222. Let i(w) = -6*d(w) - 17*v(w). Let i(s) = 0. Calculate s.
-3/5, 2, 9
Let c(d) be the third derivative of -d**6/180 + d**5/15 - 37*d**3/6 - 23*d**2. Let a(j) be the first derivative of c(j). Find r, given that a(r) = 0.
0, 4
Let j(m) be the third derivative of m**7/525 + 7*m**6/300 + m**5/25 - 7*m**4/15 - 8*m**3/3 + 83*m**2. Suppose j(i) = 0. Calculate i.
-5, -2, 2
Suppose 598*i + 432 = 625*i. Let y(t) = -t**2 + 3*t + 3. Let q be y(3). Factor 6*d + 32/3*d**q - 2/3 - i*d**2.
2*(d - 1)*(4*d - 1)**2/3
Factor -441 + 21*i - 1/4*i**2.
-(i - 42)**2/4
Let c(t) be the second derivative of -15*t**4/16 - 155*t**3/6 + 35*t**2/2 - 7*t - 11. Factor c(g).
-5*(g + 14)*(9*g - 2)/4
Let f(i) be the second derivative of 0*i**2 + 2/13*i**4 + 15*i + 1/10*i**5 + 4/39*i**3 + 1/273*i**7 + 2/65*i**6 + 0. Factor f(k).
2*k*(k + 1)**2*(k + 2)**2/13
Let v(k) be the first derivative of k**3/3 + 17*k**2/2 - 38*k - 166. Find y such that v(y) = 0.
-19, 2
Let r = 36 + -28. Suppose -3*w = -r*w + 9*w. Suppose 0*s**2 + w + 2/3*s**3 - 2/3*s = 0. Calculate s.
-1, 0, 1
Let h(n) be the second derivative of 1/14*n**4 + 0*n**6 + 0*n**3 + 0*n**2 - 1/98*n**7 + 0 + 9/140*n**5 - 11*n. Let h(c) = 0. Calculate c.
-1, 0, 2
Let y(l) be the third derivative of l**8/80640 + l**7/20160 - l**6/1440 - 2*l**5/15 - 2*l**2. Let g(v) be the third derivative of y(v). Factor g(j).
(j - 1)*(j + 2)/4
Let r(n) = n**3 + 8*n**2 + 11*n + 6. Let o be r(-6). Let s be o/(-14) + (-31)/(-28). Solve -s - 3/4*i + 3/4*i**3 + 1/4*i**2 = 0 for i.
-1, -1/3, 1
Suppose -822*d + 32 = -814*d. Let p(f) be the first derivative of -2/55*f**5 - 4/11*f**2 + 8/11*f + 3 - 2/11*f**3 + 2/11*f**d. What is b in p(b) = 0?
-1, 1, 2
Suppose 12*b - 10 = 7*b. Let -12*y - 149*y**b + 439*y**2 - 146*y**2 - 148*y**2 - 8 = 0. Calculate y.
-2, -1
Let o be 44/10 + -2 + 32/20. Factor -19*l**3 + 41*l**2 - 49*l**2 - 5*l**4 + 4*l - 2*l**o.
-l*(l + 1)*(l + 2)*(7*l - 2)
Let r(n) = n**2 - 9*n + 18. Let g be r(11). Let v = g + -28. Factor 5*x**2 - 32*x - 7 + v*x + 6 + 21.
5*(x - 2)**2
Let g(t) be the first derivative of t**5/270 - t**4/18 - 7*t**3/27 + 13*t**2 - 2. Let f(r) be the second derivative of g(r). Suppose f(j) = 0. Calculate j.
-1, 7
Let j(p) be the second derivative of 3*p**7/14 + p**6/20 - 3*p**5/8 - p**4/4 + 2*p + 143. What is u in j(u) = 0?
-2/3, -1/2, 0, 1
Let f(v) = -v + 11. Let x be f(0). Let n = x + -9. Solve -14*l**2 - 81*l + 8*l**n - 81 - 21*l**2 - 3*l**3 = 0.
-3
Let p = -81 + 81. Let r(f) be the first derivative of 2/3*f**6 - 5 + 0*f - 8/5*f**5 + p*f**2 + 0*f**3 + f**4. Suppose r(a) = 0. What is a?
0, 1
Suppose 2*q = -18*q. Let d(p) be the third derivative of -1/5*p**5 + q*p - 6*p**2 + 5/8*p**4 + 1/40*p**6 - p**3 + 0. Factor d(g).
3*(g - 2)*(g - 1)**2
Let a be (-22 + 25 + (-28)/10)*10. Find c, given that 3/4 - 11/4*c + c**3 + 2*c**a = 0.
-3, 1/2
Let x(w) be the third derivative of w**6/360 + 7*w**5/180 - 5*w**4/36 - 8*w**3/9 - 96*w**2. Factor x(k).
(k - 2)*(k + 1)*(k + 8)/3
Let p(d) be the first derivative of -d**5/5 + 45*d**4 - 8099*d**3/3 - 90*d**2 + 8100*d - 765. Solve p(j) = 0 for j.
-1, 1, 90
Let s(m) be the second derivative of m**6/6 - 9*m**5/4 + 15*m**4/4 + 205*m**3/6 - 105*m**2 + 2*m + 805. Determine g so that s(g) = 0.
-2, 1, 3, 7
Suppose -4*u + 58 = 42. Let w(o) be the third derivative of 0*o**3 + 1/120*o**5 + 0 - u*o**2 + 1/480*o**6 + 0*o + 0*o**4. Factor w(v).
v**2*(v + 2)/4
Suppose -2*d + 4*d = -4*d. Let q(w) be the second derivative of 0 + d*w**2 + 0*w**3 + 1/40*w**5 - 2*w - 1/12*w**4. Find g, given that q(g) = 0.
0, 2
Suppose -11*y = 4*y - 60. Let p(x) = x + 14. Let q be p(-11). Factor -5*h**q + h**3 - 4*h**2 + 4*h**y + 4*h**5 + 0*h**5.
4*h**2*(h - 1)*(h + 1)**2
Suppose 49*g = -3*g - 35*g. Solve 8/3*l**2 - 2/3*l**3 - 8/3*l + g = 0 for l.
0, 2
Let w = -924 + 12020/13. Let t = 2/39 + w. Factor t - 2/3*s**2 + 0*s.
-2*(s - 1)*(s + 1)/3
Let u = 8079 - 8074. Factor -4/5*o**4 - 2/5*o + 0 + 2/5*o**u + 4/5*o**2 + 0*o**3.
2*o*(o - 1)**3*(o + 1)/5
Let i be (1/(-9))/((-24)/108). Suppose a + o - 7 = -0*o, 5*a + 2*o - 23 = 0. Factor -1/6*k**2 - 1/2*k**a + 0 - 1/6*k**5 - i*k**4 + 0*k.
-k**2*(k + 1)**3/6
Let w(a) be the first derivative of -a**3/6 + 3*a**2 + 110. Suppose w(p) = 0. What is p?
0, 12
Let b(z) be the second derivative of -z**7/126 + 7*z**6/90 + 29*z**5/60 - 235*z**4/36 - 100*z**3/9 + 1000*z**2/3 + 151*z. Factor b(g).
-(g - 5)**3*(g + 4)**2/3
Suppose 6*i - 8 - 4 = 0. Let 2 - z - 22*z**2 + 4*z + 23*z**i = 0. Calculate z.
-2, -1
Let r(v) = 7*v - 15. Let o be r(10). Let g = -52 + o. Let -14/3*x**2 + 2/3 + 4/3*x + 8/3*x**g = 0. What is x?
-1/4, 1
Let u(t) = -3*t**3 + 2*t**2 + 3*t + 1. Let k be u(-1). Factor -m**k + 5*m**3 - 8*m - 32*m**2 + 63*m**2 - 35*m**2.
4*m*(m - 2)*(m + 1)
Let m(r) be the first derivative of 4*r**5/5 + 2*r**4 - 4*r**3 - 16*r**2 - 16*r - 149. Factor m(x).
4*(x - 2)*(x + 1)**2*(x + 2)
Factor -48*z**2 + 17873 + 8*z**2 + 5*z**3 - 17963 + 105*z.
5*(z - 3)**2*(z - 2)
Suppose 2*k - 12 = -2*f, k - 5*f - 10 = 8. Let b be (k/(-70))/((-12)/42). Factor -2/5 + 2/5*v**3 + 2/5*v**2 - b*v.
2*(v - 1)*(v + 1)**2/5
Let r = 14744 + -14741. Factor 2*a + 0 - 3/4*a**r + 1/4*a**4 - 3/2*a**2.
a*(a - 4)*(a - 1)*(a + 2)/4
Suppose v - 6 = -4. Factor 5*h**5 - h**v - 5*h**3 + 13*h**4 - 4*h**2 - 8*h**4.
5*h**2*(h - 1)*(h + 1)**2
Let l(q) be the second derivative of -q**7/147 - 2*q**6/35 - q**5/5 - 8*q**4/21 - 3*q**3/7 - 2*q**2/7 - 7*q - 1. Factor l(u).
-2*(u + 1)**4*(u + 2)/7
Let g(x) = -633*x - 9. Let q be g(-5). Let f be (-4)/18 + q/108. Solve 4*b + f - 29 + 2*b**2 = 0.
-2, 0
Let v(b) be the second derivative of b**5/390 - b**4/26 + 3*b**3/13 - 5*b**2 - 5*b. Let h(x) be the first derivative of v(x). Suppose h(r) = 0. Calculate r.
3
Suppose 0 = i + 248 - 248. Let h(t) be the second derivative of 0 + 1/48*t**4 + 6*t - 1/24*t**3 + i*t**2. Factor h(z).
z*(z - 1)/4
Factor -2*v - 12 + 2*v + v**2 + 6*v - 4.
(v - 2)*(v + 8)
Let j(w) = -3*w**2 + 33*w + 15. Let g(n) = -2*n**2 + 17*n + 8. Let c(v) = -v**3 - 7*v**2 - 4*v - 32. Let h be c(-7). Let i(q) = h*j(q) + 9*g(q). Solve i(t) = 0.
-1/2, 4
Let c(g) be the first derivative of 2/3*g + 12 + 4/3*g**3 + 4/9*g**4 - 17/9*g**2. Determine s, given that c(s) = 0.
-3, 1/4, 1/2
Let d(p) be the first derivative of 75*p**3 + 330*p**2 + 484*p + 171. Let d(y) = 0. Calculate y.
-22/15
Let b(k) be the third derivative of k**5/150 + 2*k**4/3 - 41*k**3/15 + k**2 + 20*k. Factor b(s).
2*(s - 1)*(s + 41)/5
Let s(u) be the second derivative of u**7/24 + 19*u**6/120 + 3*u**5/16 + u**4/48 - u**3/12 - 2*u + 3. Factor s(x).
x*(x + 1)**3*(7*x - 2)/4
Let v(l) be the second derivative of l**5/90 + 43*l**4/6 + 12416*l**3/9 - 37636*l**2/9 + 15*l - 12. Suppose v(a) = 0. What is a?
-194, 1
Let i(g) = -21*g**2 + 93*g + 120. Let n(z) = 11*z**2 - 46*z - 59. Let v(x) = 7*i(x) + 15*n(x). Find q such that v(q) = 0.
-5/6, 3
Suppose 0 = 3*s + 4*b + 164, 0*s - 3*b = 2*s + 110. Let l = s - -55. Let 0 + 2/7*y - 2/7*y**l - 2/7*y**4 + 2/7*y**2 = 0. Calculate y.
-1, 0, 1
Solve 54/7*c**2 - 33/7*c - 2 - c**3 = 0 for c.
-2/7, 1, 7
Let r(y) = y**2 + 15*y + 46. Let g be r(-11). Let t(d) = 2*d**2 + 8*d. Let p(z) = -z. Let x(w) = g*t(w) + 4*p(w). Factor x(m).
4*m*(m + 3)
Suppose -9*m = -178 + 1834. Let u = m - -377/2. Solve 3/2*y**3 - 15/2*y - 3 + 3/2*y**4 - u*y**2 = 0 for y.
-1, 2
Let l be -17 + (-488 + 8)/(-24). Factor 0*g**2 - 2/5*g**4 + 0*g + 8/5*g**l + 0.
-2*g**3*(g - 4)/5
Solve -4/3 - 2/9*y - 2/3*y**4 + 26/9*y**2 + 10/9*y**3 = 0 for y.
-1, 2/3, 3
Suppose -14*t = 15*t - 0*t + 35*t. Factor t + 0*a - 3/2*a**2.
-3*a**2/2
Let y = 1711 + -1709. Let h(j) be the second derivative of -1/2*j**y + 1/36*j**4 + 0 - 11*j + 1/9*j**3. Factor h(z).
(z - 1)*(z + 3)/3
Let h(z) be the third derivative of -z**6/720 + z**5/120 - z**3/9 - 214*z**2. Determine r, given that h(r) = 0.
-1, 2
Let i = -854/3 - -9544/33. Solve -2/11*n**3 - 70/11*n + i + 2*n**2 = 0.
1, 5
Let w(l) = -196*