tive of 0*t**4 + 0*t - 1/35*t**5 + 0*t**2 + 16 + 1/21*t**3. Find l, given that a(l) = 0.
-1, 0, 1
Let n(s) = -8*s**3 + 2*s + 1. Let a be n(-1). Suppose -t**3 - 3*t**3 + a*t**3 - 2*t**2 - 3*t + 2 = 0. Calculate t.
-1, 2/3, 1
Let h(o) be the first derivative of -o**6/160 - o**5/16 - 3*o**4/32 + 9*o**3/8 - 2*o**2 + 8. Let u(r) be the second derivative of h(r). What is b in u(b) = 0?
-3, 1
Let i(x) be the second derivative of 0 + 3/2*x**2 + 4/45*x**3 + 1/45*x**4 + 1/450*x**5 - 6*x. Let l(q) be the first derivative of i(q). Factor l(g).
2*(g + 2)**2/15
Let l be (-847)/7 + (-1)/(5/2). Let n = l + 122. Factor -6/5 + 9/5*i - n*i**2.
-3*(i - 2)*(i - 1)/5
Let t(r) be the third derivative of r**8/120 + 3*r**7/175 + r**6/150 - 9*r**2 + 4. Suppose t(o) = 0. Calculate o.
-1, -2/7, 0
Let x(c) = c**2 - c - 20. Let k(h) = -2*h**2 + 4*h + 48. Let a(f) = 2*k(f) + 5*x(f). Factor a(j).
(j - 1)*(j + 4)
Let d be (-5140)/(-4626)*6*4/15. Solve d*h - 2/9*h**2 + 0 = 0 for h.
0, 8
Let x(b) be the second derivative of 3*b + 1/32*b**4 + 0 - b**2 + 1/240*b**5 + 1/12*b**3. Let t(v) be the first derivative of x(v). Factor t(h).
(h + 1)*(h + 2)/4
Let b = -12285/11 + 1117. Factor b*s**2 - 28/11*s + 98/11.
2*(s - 7)**2/11
Let t(n) be the first derivative of -n**5/20 + 5*n**3/4 + 5*n**2/4 - 6*n + 174. Find m such that t(m) = 0.
-3, -2, 1, 4
Suppose -35 = 3*s - 26, -2*s = 2*g + 2. Factor -2/5*v + 1/5*v**g + 1/5.
(v - 1)**2/5
Let w(k) be the third derivative of k**8/20160 + k**7/2520 - k**5/90 - k**4/2 + 19*k**2. Let h(n) be the second derivative of w(n). Factor h(c).
(c - 1)*(c + 2)**2/3
Let o(x) = 4*x**2 - 9*x**2 + 16 + x**3 - 6*x**2. Let d be o(11). Factor 0*j**2 - d*j - 4*j**2 + 381 - 393.
-4*(j + 1)*(j + 3)
Let g be ((-6)/(-1))/(8/10). Suppose 4*b - 37 - 4 + 41 = 0. Solve 0 - 3*h**4 + g*h**5 + 0*h + b*h**3 + 0*h**2 = 0 for h.
0, 2/5
Let w = -10 - -4. Let p be (12/(-21))/(w/21). Let q**3 + 2*q - 6*q**2 + 1 - 3*q + 5*q**p = 0. What is q?
-1, 1
Let u = -2669055 - -1694850712/635. Let o = u + -5/127. Factor 2/5*b**3 + o*b - 2/5 - 6/5*b**2.
2*(b - 1)**3/5
Let s = -1/308 + 621/1540. Let d(q) be the first derivative of -8/7*q**3 - 11/14*q**2 - 1/14*q**6 - s*q**5 - 5 - 2/7*q - 13/14*q**4. Factor d(f).
-(f + 1)**4*(3*f + 2)/7
Suppose -3*r + 123 = 123. Let h(c) be the first derivative of 81/4*c**4 + r*c - 13*c**3 - 69/5*c**5 + 3*c**2 + 7/2*c**6 - 3. Factor h(w).
3*w*(w - 1)**3*(7*w - 2)
Let z = -21623 - -21628. Factor -7/2*j**2 + 0 - 1/2*j**3 - z*j.
-j*(j + 2)*(j + 5)/2
Let p(o) be the second derivative of -1/3*o**4 - 11*o + 0 - 28/3*o**3 - 98*o**2. What is a in p(a) = 0?
-7
Suppose 900 - 900 = 99*j. Factor 2/9 + j*v - 2/9*v**2.
-2*(v - 1)*(v + 1)/9
Let i(v) be the second derivative of v**6/45 + v**5/6 + 2*v**4/9 - 10*v - 5. Solve i(q) = 0 for q.
-4, -1, 0
Let j be (-14 - 3 - 1)/(-2). Suppose 4*h**2 - 3*h**5 + 20*h**4 + j*h**5 - 1364*h**3 + 1382*h**3 = 0. What is h?
-2, -1, -1/3, 0
Let u(n) be the second derivative of -n**4/63 + 5*n**3/63 - 2*n**2/21 + 193*n. Let u(s) = 0. Calculate s.
1/2, 2
Let m(u) be the third derivative of u**7/168 + u**6/36 + u**5/24 - 11*u**3/6 - 14*u**2. Let v(c) be the first derivative of m(c). Solve v(f) = 0.
-1, 0
Find d such that -49*d**2 + 3*d**2 + 585*d + 51*d**2 = 0.
-117, 0
Let d(p) be the third derivative of 0*p**4 + 2*p**2 - 6/35*p**7 - 1/10*p**5 + 0*p + 0*p**3 + 0 - 5/112*p**8 - 9/40*p**6. Factor d(f).
-3*f**2*(f + 1)**2*(5*f + 2)
Let a be (-13182)/(-18525) + 3 + (-77)/25. Suppose 2/19*r**2 + a + 10/19*r = 0. Calculate r.
-3, -2
Let g be 0 - 1/((-4)/8). Factor -2*y**3 + 2*y**5 + 6*y**2 - 5*y**g - y**4 + 0*y**3.
y**2*(y - 1)*(y + 1)*(2*y - 1)
Let i be ((-2)/(-12) - -1)*414/1288. Let m(t) be the second derivative of 1/2*t**3 + 0*t**2 + 11*t + 0 + 3/40*t**5 - i*t**4. What is l in m(l) = 0?
0, 1, 2
Factor -74/19 + 4*y - 2/19*y**2.
-2*(y - 37)*(y - 1)/19
Let a(n) = -n + 2. Let z be a(-2). Let c be -3 + 455/39 - (8 - 1). Let -c*i**z - 80/3 + 40/3*i**3 - 40*i**2 + 160/3*i = 0. Calculate i.
2
Factor -65/4*c + 5/4*c**2 + 15.
5*(c - 12)*(c - 1)/4
Let y be (-3)/6 - 10/(-4). Suppose -3*l = -2*q + l + 22, 5*l + 14 = -y*q. Factor 3*n**4 - 11*n**q - 16*n + 4 - n**5 + 4*n**4 - 8*n**3 + 25*n**2.
-(n - 2)**2*(n - 1)**3
Let m(g) be the third derivative of g**8/5040 + g**5/6 - 16*g**2. Let q(o) be the third derivative of m(o). Solve q(u) = 0.
0
Suppose -7*o - 38 = -12*o - 4*a, -2*o + 4*a - 24 = 0. Factor -r + 0 + 7/4*r**o.
r*(7*r - 4)/4
Let g(a) be the second derivative of 18*a**2 - 2/3*a**3 + 0 - 3*a**4 + 1/5*a**5 + 14*a. Let g(t) = 0. What is t?
-1, 1, 9
Suppose -2/9*n - 4/9 + 2/9*n**2 = 0. Calculate n.
-1, 2
Suppose -u = -2*o + 2*u + 2, o = u. Let q be 0 + o + 60/4. Factor 3 - 5*t + q*t - 3*t**2 + 3 - 11*t.
-3*(t - 1)*(t + 2)
Suppose -2*z = o - 5*z - 1, 13 = 4*o - 3*z. Suppose -4*p - 31 = -43. Suppose o*a**5 + a**3 + a**2 + 11*a**4 + 8*a**p + 0*a**2 - a = 0. Calculate a.
-1, 0, 1/4
Determine g, given that -11451*g**4 + 11448*g**4 - 9*g**5 - 4*g + 4*g = 0.
-1/3, 0
Let a(q) = -947*q + 2844. Let u be a(3). Factor 16/15*k - 8/15 - 2/3*k**2 + 2/15*k**u.
2*(k - 2)**2*(k - 1)/15
Let -4*s - 1/3*s**2 + 0 = 0. What is s?
-12, 0
Suppose -20*g - 4*h - 17 = -25*g, h = -g + 7. Let l(a) be the second derivative of 0 - 1/4*a**4 + 3/2*a**2 + 1/20*a**g - 1/6*a**3 + 6*a. Factor l(v).
(v - 3)*(v - 1)*(v + 1)
Let u(o) be the first derivative of 5*o**4/4 - 10*o**3 + 20*o**2 + 164. Determine d so that u(d) = 0.
0, 2, 4
Let k(d) = d**2 + 14*d - 50. Let a be k(-17). Let l be a - (-8 + 5)/((-6)/(-4)). Find x, given that -1/5*x**l + 0 - 2/5*x - 3/5*x**2 = 0.
-2, -1, 0
Let v = -956/9 + 1957/18. Let -n**2 + 1/2*n**3 + 3 - v*n = 0. Calculate n.
-2, 1, 3
Factor -6/5*l + 0 + 57/5*l**4 + 9*l**3 + 3/5*l**2 + 21/5*l**5.
3*l*(l + 1)**3*(7*l - 2)/5
Let l = 211/9 + -169/9. Determine n so that 8/9*n**2 + 32/9*n**3 + l*n**4 + 0*n + 0 + 2*n**5 = 0.
-1, -2/3, 0
Suppose -2*c = -3*i + 135, 0 = c + c + 4*i + 100. Let z be c/16*8/(-6). Suppose 6*b**3 + 0*b**z + 5*b - 8*b - 3*b**5 = 0. What is b?
-1, 0, 1
Let j = 924 - 924. Let x(s) be the third derivative of 0*s + 0*s**3 - 3*s**2 + 1/5*s**5 + 1/24*s**6 + j + 1/6*s**4. Factor x(k).
k*(k + 2)*(5*k + 2)
Suppose -1/2*i**2 - 50 + 10*i = 0. What is i?
10
Let x(a) be the second derivative of -a**5/270 - a**4/27 - a**3/9 - 2*a**2 - 11*a. Let n(s) be the first derivative of x(s). Let n(j) = 0. What is j?
-3, -1
Factor -1/3*n**2 + 8/3*n - 7/3.
-(n - 7)*(n - 1)/3
Let k(c) be the second derivative of c**5/20 + 13*c**4/12 + 35*c**3/6 - 49*c**2/2 + 15*c - 2. Determine v, given that k(v) = 0.
-7, 1
Let 3/2*h**3 + 45/2*h + 21/2*h**2 + 27/2 = 0. What is h?
-3, -1
Let x(l) be the second derivative of -3*l**7/77 + 7*l**6/165 + l**5/55 + 31*l. Factor x(g).
-2*g**3*(g - 1)*(9*g + 2)/11
Suppose 0 = -4*o - 4*r + 8, -2*o = r - 0*r - 6. Let j be ((-15)/(-10))/(3/o). Find u, given that 1 - 9*u**3 + 3*u**j - 5 + 9*u + 1 = 0.
-1, 1/3, 1
Let d(w) = -30*w - 743. Let i be d(-25). Let r(z) be the first derivative of 1/4*z + 9/4*z**2 + 27/2*z**4 - i + 9*z**3. Factor r(y).
(6*y + 1)**3/4
Let h(v) be the second derivative of 5*v**4/12 - 20*v**3 + 49*v + 3. Let h(o) = 0. Calculate o.
0, 24
Let a(g) be the first derivative of g**3/3 - 13*g**2/2 + 42*g + 59. Factor a(b).
(b - 7)*(b - 6)
Let n(q) be the third derivative of -q**5/25 - 2*q**4/15 + 8*q**3/15 + 456*q**2. Suppose n(g) = 0. Calculate g.
-2, 2/3
Let d(t) be the third derivative of -t**8/1008 - t**7/315 + t**6/60 + t**5/45 - 13*t**4/72 + t**3/3 - 3*t**2 + 34. Factor d(o).
-(o - 1)**3*(o + 2)*(o + 3)/3
Let w = 18 + -12. Suppose 3*l - 9 = 4*c - 3*c, 0 = -c. Factor w*k**2 + 2*k - l + 3 - 4*k**2.
2*k*(k + 1)
Factor -3*s**2 - 2*s**3 + 5*s**3 - 44*s**4 - 11*s + 45*s**4 - 4 - 2.
(s - 2)*(s + 1)**2*(s + 3)
Let g(l) be the first derivative of 2*l**6/3 - 8*l**5 + 36*l**4 - 72*l**3 + 54*l**2 - 4. Solve g(f) = 0 for f.
0, 1, 3
Let h(x) = 26*x**2 + 77*x + 1. Let j be h(-3). Let 1/6*o**3 + 1/3*o**j + 0 + 0*o**2 + 0*o + 1/6*o**5 = 0. Calculate o.
-1, 0
Let a(u) = -5*u**2 - 256*u + 17215. Let w(i) = -i**2 + i + 9. Let p(l) = -a(l) + 6*w(l). Factor p(y).
-(y - 131)**2
Let n(h) be the first derivative of -2*h**5/5 - h**4/2 + 4*h**3 - 94. Let n(r) = 0. Calculate r.
-3, 0, 2
Suppose -2 = 2*j - 12. Let r(s) be the first derivative of 0*s - 10 + 0*s**3 + 4/5*