e the first derivative of 6*v**5/55 - 20*v**4/11 - 56*v**3/33 - 868. Let w(s) = 0. Calculate s.
-2/3, 0, 14
Let q(i) = -i**3 + 18*i**2 - 2*i - 478. Let g be q(16). Suppose 90*o - 3/2*o**g - 177/2 = 0. What is o?
1, 59
Suppose 0 = 4*a - 2*g + 2, a - 2*g = -2*a - 3. Let s be (20/35)/((-2)/(-7))*a. Factor 5*r**4 - 70*r**s + 15*r**5 + 70*r**2.
5*r**4*(3*r + 1)
Let v(w) be the second derivative of w**6/40 + 9*w**5/16 + 9*w**4/16 - 67*w**3/8 + 63*w**2/4 + 208*w - 1. Solve v(h) = 0.
-14, -3, 1
Let b(u) = u**2 - 1. Let a(r) = 4*r**2 - 9*r - 22. Let v(t) = -a(t) + 5*b(t). Let d be v(-7). Solve 4*p**d + 44*p + 5*p**2 + 4*p**4 + 0*p**2 - 16 - 41*p**2 = 0.
-4, 1
Let n(c) be the second derivative of -2*c - 32/5*c**2 + 1/30*c**4 - 2 + 31/15*c**3. Factor n(w).
2*(w - 1)*(w + 32)/5
Suppose -5*z + 25 = 5*g, 2324*g = -6*z + 2325*g - 5. Factor 1/2*c**3 + z*c**2 + 0*c + 0.
c**3/2
Let u be (-2)/(-1 + -1) - (-11 + 7). Let v(g) be the first derivative of 2/3*g**3 + g**4 + 0*g**2 + u + 2/5*g**5 + 0*g. Factor v(y).
2*y**2*(y + 1)**2
Let f(n) be the second derivative of n**7/4200 + n**6/240 - 97*n**4/12 - 68*n. Let o(p) be the third derivative of f(p). Factor o(i).
3*i*(i + 5)/5
Let z(x) be the second derivative of 0 + 1/48*x**4 - 5/24*x**3 - 18*x - 3/4*x**2. Factor z(c).
(c - 6)*(c + 1)/4
Solve 39/4*l + 0 - 3/4*l**2 = 0.
0, 13
Let p(s) = 3*s + 1. Let u(f) = f**2 + 5*f - 19. Let z(b) = 5*p(b) - u(b). Determine c so that z(c) = 0.
-2, 12
Determine g so that -3340*g**2 + 2899*g - 4*g**4 + 2961*g + 364*g**3 + 1064*g + 1176*g = 0.
0, 5, 81
Suppose -2*i = r - 17 - 17, 95 = 5*i + 5*r. Factor t**3 + 3*t**4 - 3*t**3 - i*t - 21*t**2 + 18 + 17*t**3.
3*(t - 1)**2*(t + 1)*(t + 6)
Factor -7/3 - 107/6*n - 25/3*n**2.
-(n + 2)*(50*n + 7)/6
Let b(n) = 97*n - 238. Let c be b(7). Solve 219*l + 222*l - c*l - 6*l**3 - 2*l**5 + 8*l**4 = 0.
0, 1, 3
Let s(c) be the first derivative of -55*c**4/4 - 100*c**3 - 95*c**2/2 + 150*c - 1044. Solve s(o) = 0 for o.
-5, -1, 6/11
Find q such that 345/4*q - 17/2*q**3 - 1/2*q**4 + 1/4*q**5 + 2*q**2 + 225/2 = 0.
-3, -2, 5
Let i(c) be the third derivative of 0*c**3 + 3/20*c**5 + 0 + 6*c**2 + 0*c**4 + c + 1/16*c**6 + 1/140*c**7. Factor i(v).
3*v**2*(v + 2)*(v + 3)/2
Factor 465/2 - 23*m + 1/2*m**2.
(m - 31)*(m - 15)/2
Let m(s) = -9*s**2 - 1810*s + 646. Let q(n) = -9*n**2 - 1812*n + 687. Let f(l) = -7*m(l) + 6*q(l). Factor f(x).
(x + 200)*(9*x - 2)
Let x(c) be the third derivative of c**8/131040 - c**7/5460 + c**6/936 - c**5/60 - 3*c**3 - 3*c**2 - 19. Let j(h) be the third derivative of x(h). Factor j(g).
2*(g - 5)*(g - 1)/13
Suppose -73*d - 261*d = 100*d + 34*d. What is b in d*b - 1 + 1/4*b**2 = 0?
-2, 2
Let 0 + 0*q - 311/3*q**2 + 1/3*q**3 = 0. Calculate q.
0, 311
Let f(d) = 5*d**2 - 611*d + 2118. Let c(j) = -5*j**2 + 630*j - 2120. Let q(o) = 6*c(o) + 5*f(o). Factor q(m).
-5*(m - 142)*(m - 3)
Let u = 3047 - 1017697/334. Let l = u - -165/668. Factor l*t**4 - 1 - 9/4*t**2 + 11/4*t + 1/4*t**3.
(t - 1)**3*(t + 4)/4
Let x(z) = 16*z - 8. Let r be x(2). Let o be (-1)/((-4)/r*2). Find q, given that -29*q**o + 9*q**3 + 5*q**3 + 4*q**5 + 11*q**3 = 0.
-1, 0, 1
Let s(j) be the second derivative of 1/5*j**5 + 1 + 32*j**2 - 3*j**4 + 4*j**3 + 30*j. Factor s(z).
4*(z - 8)*(z - 2)*(z + 1)
Let f(o) = 2*o**2 - 108*o - 340. Let c be f(-3). What is h in -6*h**c + 15 - 33/4*h - 3/4*h**3 = 0?
-5, -4, 1
Let h(x) be the second derivative of x**7/189 - 122*x**6/135 + 121*x**5/90 - 4557*x + 2. Determine k, given that h(k) = 0.
0, 1, 121
Let i(k) be the first derivative of k**8/672 - k**7/84 - k**6/60 + k**5/6 + 125*k**2/2 + 179. Let z(c) be the second derivative of i(c). Factor z(a).
a**2*(a - 5)*(a - 2)*(a + 2)/2
Factor 519*m + m**3 + m - 216*m**2 - 64*m**2 + 4*m**3 - 245*m**2.
5*m*(m - 104)*(m - 1)
Let a = -59 + 5. Let c = -50 - a. Factor 0*r + 5*r**c - 15*r - 3*r**3 - 25*r**2 + 2*r**3 - 4*r**3.
5*r*(r - 3)*(r + 1)**2
Let h(n) be the first derivative of -n**6/15 - 7*n**5/10 - 2*n**4/3 + 4*n**3 + 302*n - 158. Let y(x) be the first derivative of h(x). Factor y(d).
-2*d*(d - 1)*(d + 2)*(d + 6)
Let h = -2214/11 + 10973/22. Let l = h - 293. Suppose -l - 1/8*y**2 - 3/2*y = 0. Calculate y.
-6
Let g = -366165 + 4027911/11. Factor 4*k + 2/11*k**2 - g.
2*(k - 2)*(k + 24)/11
Let w(o) = 6*o**2 - 52*o + 8. Let k(c) be the first derivative of -c**3/3 - c**2/2 + 18. Let y(r) = -12*k(r) + w(r). Factor y(h).
2*(h - 2)*(9*h - 2)
Let s be ((-4)/10)/((-1)/5). Let n be ((-840)/224)/(55/(-44)). Suppose 0 + 16/7*z**n + 0*z**4 + 0*z + 0*z**s - 4/7*z**5 = 0. What is z?
-2, 0, 2
Let o = -303159 - -303162. Solve -32/7*g**2 - 12/7 + 6/7*g**o + 46/7*g = 0.
1/3, 2, 3
Let w(y) be the second derivative of 3*y**5/10 - 19*y**4/4 - 35*y**3/2 + 33*y**2 - 4*y + 32. Factor w(r).
3*(r - 11)*(r + 2)*(2*r - 1)
Let g(s) be the third derivative of 1/4*s**4 + 0 + 2*s**2 - 1/60*s**6 - 11*s + 0*s**5 - 2/3*s**3. Factor g(m).
-2*(m - 1)**2*(m + 2)
What is x in 376/9*x**4 + 272/9*x**3 - 356/9*x**2 - 20/9 - 334/9*x + 62/9*x**5 = 0?
-5, -1, -2/31, 1
Let g(l) = 19*l**3 - 31*l**2 - 281*l - 240. Let u(b) = 10*b**3 - 15*b**2 - 140*b - 120. Let i(m) = 5*g(m) - 9*u(m). Factor i(d).
5*(d - 8)*(d + 1)*(d + 3)
Let h be (-16)/144 + (-19966)/234. Let r = 260/3 + h. Determine b so that -10/13*b**2 - 2/13*b**3 - 8/13 - r*b = 0.
-2, -1
Let k(x) = 8*x**3 - 19*x**2 - 41*x + 4. Let a(r) = -4*r**3 + 9*r**2 + 19*r - 2. Let y(p) = -9*a(p) - 4*k(p). Factor y(t).
(t - 2)*(t + 1)*(4*t - 1)
Let f(s) be the first derivative of 0*s - 3/20*s**5 - 1/24*s**6 + 1/4*s**3 + 39 + 1/4*s**2 - 1/16*s**4. Solve f(q) = 0 for q.
-2, -1, 0, 1
Let v(t) be the third derivative of -1/5*t**5 - 49/39*t**3 - 4/195*t**6 + 0 - 28/39*t**4 - 9*t**2 + 9*t - 1/1365*t**7. Factor v(l).
-2*(l + 1)**2*(l + 7)**2/13
Suppose 36976*w**3 - w**4 + 250 + 747*w**2 - 18781*w**3 - 18442*w**3 - 749*w = 0. What is w?
-250, 1
Factor -175/6*q**3 - 2523/2*q + 2581/2*q**2 + 1/6*q**4 + 0.
q*(q - 87)**2*(q - 1)/6
Let b = -120 - -122. Let d(r) = 29*r**3 + 111*r**2 - 311*r + 18. Let o(u) = 7*u**3 + 28*u**2 - 78*u + 4. Let w(j) = b*d(j) - 9*o(j). Factor w(z).
-5*z*(z - 2)*(z + 8)
Factor -132*y**3 + 1376/7*y**2 + 236/7*y**4 + 228/7 - 914/7*y - 2/7*y**5.
-2*(y - 114)*(y - 1)**4/7
Let u(r) = -2*r + 1. Let q(k) = k**3 - 9*k**2 + 6*k + 1. Let l(s) = 2*q(s) - 2*u(s). Factor l(t).
2*t*(t - 8)*(t - 1)
Let g be 132411/11615 + (-99)/10. Let o - g*o**3 + 0 + 1/2*o**5 - 1/2*o**4 + 1/2*o**2 = 0. Calculate o.
-1, 0, 1, 2
Let o = -204 - -205. Let m(v) = v**3 + v**2 + v. Let k(p) = -4*p**4 - 14*p**3 - 22*p**2 + 10*p. Let c(g) = o*k(g) - 10*m(g). Suppose c(n) = 0. Calculate n.
-4, -2, 0
Let h(s) = s**3 + 7*s**2 - 7*s + 8. Let i be h(-8). Let n be 45/6*-1*4/(-6). Factor 38 + i*v**2 + n*v - v**2 - 44.
-(v - 3)*(v - 2)
Let v(y) = -9*y**2 - 156*y + 106. Let c(m) = 18*m**2 + 312*m - 211. Let b be 3 + -4 - (-11 - -8). Let z(f) = b*c(f) + 5*v(f). Suppose z(x) = 0. What is x?
-18, 2/3
Let l be 45866/5396 - ((0 - (0 - 1)) + 7). Solve -9/4 + l*s**2 - 1/4*s**4 + 3*s - s**3 = 0 for s.
-3, 1
Let t(s) be the first derivative of -s**3/12 - 57*s**2/4 + 58*s + 1687. Factor t(b).
-(b - 2)*(b + 116)/4
Let x be -5 + (-105)/(-24) - (-234500)/16800. Solve -2/3*d**2 - x*d - 24 = 0 for d.
-18, -2
Let v(t) be the third derivative of 1/420*t**8 - 1/75*t**5 + 0*t + 5 - 7/150*t**6 + 1/5*t**4 - 9*t**2 + 2/525*t**7 + 0*t**3. Determine n, given that v(n) = 0.
-3, -1, 0, 1, 2
Let c(a) be the first derivative of a**5 - 95*a**4/2 + 2285*a**3/3 - 4560*a**2 + 11520*a - 1166. Factor c(o).
5*(o - 16)**2*(o - 3)**2
Let f = -224396976/13 + 17271470. Let s = -10142 + f. Find p, given that 2/13*p**4 - 4*p**3 + 386/13*p**2 - 48*p + s = 0.
1, 12
Let g = -27583/93 - -8/31. Let u = g - -297. Determine s, given that 8/3*s**2 - 8/3*s + 0 - u*s**3 = 0.
0, 2
Let n be 3 - 4/((36/(-27))/(-1)). Solve -1/2 + 1/2*p**2 + n*p = 0 for p.
-1, 1
Suppose -24*l = -22*l - 2*g - 6, -3*l + g + 7 = 0. Factor 3*o**3 + 14*o**2 + 17*o**2 + 15*o**l - 8*o**2 + 7*o**2 + 42*o.
3*o*(o + 1)*(o + 14)
Suppose 0 = 2*q + 4*y - 6*y - 430, -4*y + 610 = 3*q. Let a be (-60)/q + 4/14. Suppose a*h - 4/7*h**2 + 0 = 0. What is h?
0
Let u(h) be the second derivative of -31*h**6/285 - 91*h**5/190 - 29*h**4/38 - 25*h**3/57 + 2*h**2/19 + 6747*h. Solve u(v) = 0.
-1, 2/31
Let p be -34 + 25 - (-161)/(-10). Let s 