) be the first derivative of 2/11*b**2 + 0*b - 4 + 2/33*b**c. Solve d(i) = 0.
-2, 0
Let j(w) be the second derivative of -3/20*w**5 + w + 1/60*w**6 + 1/3*w**4 - 9/4*w**2 - 32 + 1/2*w**3. Find k such that j(k) = 0.
-1, 1, 3
Let v = 197/3 + -391/6. Let i(m) be the first derivative of 1 + 7/8*m**2 + v*m**3 - 17/16*m**4 - 1/2*m - 7/10*m**5. Find s, given that i(s) = 0.
-1, 2/7, 1/2
Let u(n) = 5*n**3 + 20*n**2 - 99*n - 894. Let q(o) = 9*o**3 + 41*o**2 - 199*o - 1789. Let j(l) = 6*q(l) - 11*u(l). Let j(d) = 0. Calculate d.
-4, 15
Let r be (-9422)/26 - (-1 - 3/3). Let a = 361 + r. Factor 16/13*b + 2/13*b**3 - a - 10/13*b**2.
2*(b - 2)**2*(b - 1)/13
Let c(h) be the third derivative of -h**5/240 - h**4/32 + h**3/6 - 14*h**2. Determine z, given that c(z) = 0.
-4, 1
Let n(p) be the first derivative of 3*p - 4 + 0*p**2 - 1/50*p**5 + 0*p**4 + 1/15*p**3. Let w(q) be the first derivative of n(q). Factor w(m).
-2*m*(m - 1)*(m + 1)/5
Let r(o) be the third derivative of 5/6*o**3 + 0 - 5/8*o**4 - 13*o**2 + 0*o + 1/4*o**5 - 1/24*o**6. Let r(z) = 0. Calculate z.
1
Let o(a) be the second derivative of -2*a**7/7 + 62*a**6/75 - a**5/5 - 9*a**4/5 + 8*a**3/3 - 8*a**2/5 - 66*a. What is c in o(c) = 0?
-1, 2/5, 2/3, 1
Factor -3/2*f**3 + 18 - 21/2*f**2 - 6*f.
-3*(f - 1)*(f + 2)*(f + 6)/2
Let u(j) be the second derivative of -j**5/30 - 2*j**4/3 + 20*j**3/3 - 64*j**2/3 - j - 115. Factor u(a).
-2*(a - 2)**2*(a + 16)/3
Factor -2/9*h**4 + 0*h + 4/9*h**2 + 0 + 2/9*h**3.
-2*h**2*(h - 2)*(h + 1)/9
Let b(o) be the second derivative of o**7/49 + o**6/10 + 3*o**5/35 - o**4/7 - 60*o - 3. Factor b(h).
3*h**2*(h + 2)**2*(2*h - 1)/7
Let w(g) be the first derivative of -2*g**5 - 16*g**4 - 38*g**3 - 18*g**2 + 386. Factor w(p).
-2*p*(p + 3)**2*(5*p + 2)
Let y(c) = c**3 - c**2 + c + 9. Let t(u) = 12*u**3 - 189*u**2 - 279*u - 42. Let f(z) = -t(z) + 6*y(z). Solve f(o) = 0 for o.
-1, -1/2, 32
Let d = 2200 - 6659/3. Let z = 1127/57 + d. Suppose 0 - 2/19*a + 0*a**2 + z*a**3 = 0. What is a?
-1, 0, 1
Let q be (-8)/10 + (18840/(-700) - -28). Factor q*h**4 + 0 + 0*h**3 - 6/7*h**2 + 4/7*h.
2*h*(h - 1)**2*(h + 2)/7
Suppose -2*t - 6 = 6. Let m(k) = 4*k**4 + 9*k**3 - 3*k**2 - 2*k + 6. Let o(v) = -v**4 - 3*v**3 + v**2 + v - 2. Let b(h) = t*m(h) - 21*o(h). Factor b(z).
-3*(z - 2)*(z - 1)**2*(z + 1)
Let i = 4099 - 4099. Factor 1/5*j**2 - 3/5*j + i.
j*(j - 3)/5
Let r = 53 - 51. Factor q + 4*q**3 - 3*q + 8*q + 18 - 2*q**3 - 10*q**r.
2*(q - 3)**2*(q + 1)
Let k(q) = 751*q - 4501. Let i be k(6). Factor -24/7*u**2 + 12/7*u**3 + 0*u + 6/7*u**4 + 0 - 3/7*u**i.
-3*u**2*(u - 2)**2*(u + 2)/7
Let u(h) be the first derivative of h**8/14280 - h**6/3060 + 5*h**3 - 2. Let q(c) be the third derivative of u(c). Factor q(y).
2*y**2*(y - 1)*(y + 1)/17
Let w(d) = 29*d**4 + 170*d**3 - 293*d**2 + 83*d + 11. Let h(l) = -15*l**4 - 84*l**3 + 147*l**2 - 42*l - 6. Let i(r) = 11*h(r) + 6*w(r). What is m in i(m) = 0?
-12, 0, 1/3, 1
Let h = -60 - -62. Factor -2*q**2 - 5 - 9*q**2 + 6*q**2 - 8*q - h*q.
-5*(q + 1)**2
Factor 4/5 + 46/15*t - 26/15*t**2.
-2*(t - 2)*(13*t + 3)/15
Let w(p) be the third derivative of 4*p**7/35 + 7*p**6/30 - 4*p**5/15 - 7*p**4/6 - 4*p**3/3 - 10*p**2. Suppose w(n) = 0. What is n?
-1, -2/3, -1/2, 1
Suppose 272*a - 265*a - 21 = 0. Let f(h) be the first derivative of -3 - 1/2*h**4 - 12*h**2 + 16*h + 4*h**a. Suppose f(x) = 0. What is x?
2
Let v be 2/10 - ((-9)/4)/(300/240). Factor -12/5 + 2/5*r**v + 2/5*r.
2*(r - 2)*(r + 3)/5
Let o = -486 + 486. Factor 0*q + 2/5*q**3 + o + 2*q**2.
2*q**2*(q + 5)/5
Let w(l) be the third derivative of l**5/150 + l**4/10 + l**3/3 - 131*l**2. Factor w(j).
2*(j + 1)*(j + 5)/5
Let u(i) be the third derivative of 1/360*i**6 + 0*i**5 + 0*i**3 - 1/630*i**7 + 14*i**2 + 0*i + 0 + 0*i**4. Let u(r) = 0. Calculate r.
0, 1
Let g(s) be the third derivative of -s**5/60 - 9*s**2 + 5. Factor g(c).
-c**2
Let z(c) = c**3 - 2*c**2 + c - 1. Let v(u) = -5*u**3 - 4*u**2 + 111*u - 195. Let o(w) = v(w) + 3*z(w). Solve o(m) = 0 for m.
-11, 3
Factor 0*y**2 + 0*y + 0 + 1/3*y**5 - 14/3*y**3 - 13/3*y**4.
y**3*(y - 14)*(y + 1)/3
Let b(a) = a**2 + 7*a + 4. Let x be b(-7). Let i = 8 - -14. Determine w so that 23*w - 46*w**3 + 44*w**x - 16 + 14*w + i*w - 28*w**2 - 3*w - 10*w**5 = 0.
-1, 2/5, 1, 2
Suppose 3*j - j = -2*b - 10, 3*b + 21 = -5*j. Let l(v) = -4*v - 5. Let a be l(b). Factor -2/9*d + 0*d**2 + 2/9*d**a + 0.
2*d*(d - 1)*(d + 1)/9
Let g = 26366/5 + -5269. Determine l so that 33/5*l + 3 + 3/5*l**3 + g*l**2 = 0.
-5, -1
Let r(q) = 33*q - 293. Let w be r(9). Let -1/6*d**3 + 0 + 0*d + 1/6*d**w - 1/3*d**2 = 0. Calculate d.
-1, 0, 2
Solve -120*b**3 + 11*b**2 - 52*b + 209*b**2 - 32*b**4 - 48 + 20*b**2 + 12*b**5 = 0.
-3, -1/3, 1, 4
Factor 726 + 3/2*a**2 - 66*a.
3*(a - 22)**2/2
Let u be 1 - ((-40)/5 + (-4)/(-2)). Let -16*k**2 - 4*k**2 + 2*k**3 - 25*k - 10 - u*k**3 = 0. What is k?
-2, -1
Let l(g) be the third derivative of g**8/560 - g**7/105 + g**6/120 + g**5/60 + 2*g**3 + 14*g**2. Let h(c) be the first derivative of l(c). Solve h(b) = 0.
-1/3, 0, 1, 2
Let s(w) = -38*w**2 + 20*w - 46. Let u(b) = -12*b**2 + 7*b - 15. Let f(o) = 5*s(o) - 16*u(o). Determine h, given that f(h) = 0.
1, 5
Let i = 153/16 - 443/48. Let g(n) be the first derivative of i*n**3 - n + 0*n**2 - 4. Factor g(m).
(m - 1)*(m + 1)
Suppose -5*k + 36 = -34. Let m be (-4)/k - 46/(-14). Let -g**3 - 4*g + m*g + 2*g**3 + 0*g**3 = 0. What is g?
-1, 0, 1
Let w(x) be the third derivative of -x**6/72 + x**5/60 + x**4/8 - 10*x**3/3 - 9*x**2. Let u(h) be the first derivative of w(h). Factor u(q).
-(q - 1)*(5*q + 3)
Solve -39/5*m**3 - 36/5*m**2 - 18/5*m**4 - 12/5*m - 3/5*m**5 + 0 = 0 for m.
-2, -1, 0
Let t(c) be the second derivative of c**5/4 - 25*c**4/12 - 5*c**3 + 8*c - 5. Factor t(l).
5*l*(l - 6)*(l + 1)
Let f(g) = 2*g**3 + 20*g**2 - 100*g + 112. Let h(x) = -2*x**3 - 20*x**2 + 99*x - 112. Let c(z) = -5*f(z) - 4*h(z). Factor c(r).
-2*(r - 2)**2*(r + 14)
Let b be ((-6)/4)/((-3)/8). Factor 70*r - b - 52*r + 4 - 3*r**2.
-3*r*(r - 6)
Factor 83*o**2 + 80*o**2 - o**3 + 77*o**2 - 247*o**2.
-o**2*(o + 7)
Suppose 5*n - 22 = b, -5*b + 3*b - 5*n + 31 = 0. Let p be -6*(5/2 - b). Find i such that 4/3 + 8/3*i**2 - 8/3*i**p - 4*i**4 + 4*i - 4/3*i**5 = 0.
-1, 1
Let u = -1728 + 1730. Let p(g) be the first derivative of u + 9/8*g + 5/8*g**3 - 3/32*g**4 - 21/16*g**2. Find z such that p(z) = 0.
1, 3
Let p(f) be the first derivative of -3/4*f**4 + 0*f**2 + 6*f**3 - 14 + 0*f. Let p(j) = 0. What is j?
0, 6
Let q(x) be the second derivative of x**8/84 - 2*x**7/35 + x**6/30 + x**5/5 - x**4/3 + 11*x**2/2 + 14*x. Let h(m) be the first derivative of q(m). Factor h(r).
4*r*(r - 2)*(r - 1)**2*(r + 1)
Let v(n) be the first derivative of -5 - 4*n - 20/3*n**2 - 16/3*n**3 - 2*n**4 - 4/15*n**5. Factor v(z).
-4*(z + 1)**3*(z + 3)/3
Let w(k) = k**3 + k**2 + k. Suppose -6 + 9 = a. Let q(j) = 0*j - 13*j**a - 7 - 27*j - 1 - 2*j - 33*j**2. Let g(x) = -q(x) - w(x). Suppose g(f) = 0. Calculate f.
-1, -2/3
Let g(i) be the first derivative of -13 - 4/11*i + 3/11*i**2 - 2/33*i**3. Let g(w) = 0. What is w?
1, 2
Let c(o) be the first derivative of 4*o**5/5 - 13*o**4 + 44*o**3/3 + 26*o**2 - 48*o - 43. What is r in c(r) = 0?
-1, 1, 12
Suppose 0 = -4*k + 5 + 31. Let p be (12/k)/(130/15). Factor 0 + p*r**4 + 2/13*r**2 + 0*r + 4/13*r**3.
2*r**2*(r + 1)**2/13
Suppose 0 = 2*b - 4*b - 2*b. Let j(d) be the third derivative of 0*d - 1/15*d**5 + b + 2*d**2 + 0*d**4 + 2/3*d**3. Factor j(p).
-4*(p - 1)*(p + 1)
Let b(n) be the second derivative of -1/42*n**4 + 1/140*n**5 + 1/42*n**3 - 31*n + 0 + 0*n**2. Factor b(c).
c*(c - 1)**2/7
Let g(i) be the first derivative of i**5/5 + i**4 - 2*i**3 - 2*i**2 + 5*i - 178. Factor g(m).
(m - 1)**2*(m + 1)*(m + 5)
Let b(z) = z + 1. Let w(t) = 2 + 10 + 5*t**2 - 1 + 17*t + 1. Let f(d) = -2*b(d) + w(d). Solve f(h) = 0 for h.
-2, -1
Let a(m) = -3*m**2 + 9*m - 4. Let u(g) = 4*g**2 - 11*g + 3. Let d(x) = 3*a(x) + 2*u(x). Factor d(z).
-(z - 3)*(z - 2)
Let u(q) = 3*q**2 + q. Let o(f) = -7*f**2 - 2*f - 1. Suppose -5*j = 4*r - 39 - 21, j - 3 = r. Suppose -4*y = -0*y - j. Let l(w) = y*o(w) + 5*u(w). Factor l(n).
(n - 1)*(n + 2)
Let r(f) be the first derivative of -f**3 + 261*f**2 - 22707*f - 393. What is m in r(m) = 0?
87
Let f(y) be the first derivative of y**5/50 - 3*y + 11. Let c(k) be the first de