+ 96*j**4 + 1024*j**3/3 + 512*j**2 - 54. Solve k(w) = 0 for w.
-4, 0
Let y(m) be the third derivative of 0 + 0*m**3 + 0*m**4 + 0*m**5 + 16*m - 1/945*m**7 - 1/540*m**6 - 2*m**2. Let y(l) = 0. What is l?
-1, 0
Factor -190 + 158 + 12*s + s**2 + s**2.
2*(s - 2)*(s + 8)
Let d(q) be the first derivative of -10/9*q**3 + 5/24*q**4 + 5/4*q**2 + 16 + 0*q. Factor d(h).
5*h*(h - 3)*(h - 1)/6
Let t be (-2 - -1)/(-2 - -1). Let h(k) = 354 - k - 178 - k**4 - 177. Let i(d) = -7*d**4 + 28*d**3 - 11*d + 5. Let f(r) = t*i(r) + 5*h(r). Factor f(n).
-4*n*(n - 2)*(n - 1)*(3*n + 2)
Suppose 7*t + 0 + 28 = 0. Let c be 2 + t/(-8)*0. Let -4/3*i**c - 1/3*i**3 + 0 - 4/3*i = 0. Calculate i.
-2, 0
Let m(y) be the first derivative of 2*y**3/27 + y**2/9 + 36. Factor m(v).
2*v*(v + 1)/9
Let m(u) be the second derivative of u**7/2520 - u**6/360 - 11*u**4/12 - 9*u. Let a(o) be the third derivative of m(o). Factor a(l).
l*(l - 2)
Let r be (-30)/108*32/(-20). Let o(n) be the third derivative of 1/6*n**4 - 1/45*n**5 + 0*n + 0 + 10*n**2 - r*n**3. Factor o(s).
-4*(s - 2)*(s - 1)/3
Let b(a) = 3*a**2 - a + 1. Let n(d) = 12*d**2 + 6*d - 51. Let c(w) = -3*b(w) + n(w). Determine x, given that c(x) = 0.
-6, 3
Suppose 162 = w - f + 161, -32 = -5*w - 4*f. Factor -2/7*n**5 - 8*n - 76/7*n**2 - 16/7 - 16/7*n**w - 50/7*n**3.
-2*(n + 1)**2*(n + 2)**3/7
Find b such that 0 + 0*b - 6*b**2 + 2/3*b**3 = 0.
0, 9
Let w(i) be the first derivative of i**5/160 - i**4/16 - 15*i**2/2 + 7. Let s(l) be the second derivative of w(l). Factor s(p).
3*p*(p - 4)/8
Factor 56*u - 29*u - 5*u**2 + 95*u + 103*u - 5*u.
-5*u*(u - 44)
Let h(f) = -f**3 + f**2 - 2*f - 8. Let y(l) = l + 1. Let z(u) = 5*h(u) + 40*y(u). Factor z(s).
-5*s*(s - 3)*(s + 2)
Determine s so that 618*s**2 + 267*s**3 + 48*s**4 + 35*s**5 + 216 - 15*s**5 - 7*s**5 - 10*s**5 + 612*s = 0.
-6, -2, -1
Let y be (-3)/2*8/(-6) + 1. Find o, given that -12*o**3 + 3 - 71*o**2 + 2*o**4 + 81*o**2 - y = 0.
0, 1, 5
Factor 2/3*w**2 - 16*w - 50/3.
2*(w - 25)*(w + 1)/3
Suppose 0 = 3*h + h + 3*y - 222, -2*y = 4. Let s = h - 55. Factor -2/5 + 7/5*c**3 + 3/5*c + 12/5*c**s.
(c + 1)**2*(7*c - 2)/5
Let i(b) = b**3 - 20*b**2 - 71*b + 49. Let r be i(23). Let p(d) be the second derivative of -2/15*d**4 - 2/5*d**2 + 1/3*d**r + 0 + 1/50*d**5 - 7*d. Factor p(v).
2*(v - 2)*(v - 1)**2/5
Solve 0 - 8*p**2 + 151/3*p**3 - 2*p**4 - 25/3*p = 0.
-1/3, 0, 1/2, 25
Suppose -25 = 3*w + 44. Let z = -21 - w. Factor -c + 0*c**2 + 0*c + 2*c**2 - 3*c**z.
-c*(c + 1)
Factor -182/3*l - 1/3*l**2 - 8281/3.
-(l + 91)**2/3
Find r, given that -9631 - 151*r - 2*r**2 + 3799 - 65*r = 0.
-54
Suppose 4*b + 964 = -2*d, -972 = 2*b + 2*b + 4*d. Let t = 239 + b. Factor t + 0*p**2 + 3/7*p - 3/7*p**3.
-3*p*(p - 1)*(p + 1)/7
Let g(p) be the third derivative of -p**5/225 + 17*p**4/180 - 7*p**3/15 + 18*p**2 + 4*p. Factor g(l).
-2*(l - 7)*(2*l - 3)/15
Let i(c) be the first derivative of c**7/147 + c**6/105 - 7*c - 4. Let d(q) be the first derivative of i(q). What is x in d(x) = 0?
-1, 0
Suppose -3*k - 1 - 2 = 0, z + 5*k = -6. Let t(l) = 44*l**3 - 32*l**2 + 32*l - 4. Let i(h) = -h**3 - h**2. Let m(v) = z*t(v) - 20*i(v). Solve m(a) = 0.
1/6, 1
Let o(s) be the first derivative of s**5/20 - s**4/6 - s**3/6 + s**2 + 20*s - 12. Let c(x) be the first derivative of o(x). Factor c(y).
(y - 2)*(y - 1)*(y + 1)
Let c = 1452 + -1447. Let n(w) be the second derivative of 7/2*w**3 - 1/2*w**4 - 6*w - 9/10*w**c - 9/2*w**2 + 0 + 1/2*w**6 - 1/14*w**7. Solve n(j) = 0 for j.
-1, 1, 3
Let d(v) be the third derivative of v**7/525 - v**6/150 + v**4/30 - v**3/15 + 11*v**2. Factor d(r).
2*(r - 1)**3*(r + 1)/5
Factor 140/3 + 1/3*c**2 + 11*c.
(c + 5)*(c + 28)/3
Let d(m) be the first derivative of -m**9/12096 + m**8/3360 + 4*m**3/3 + 8. Let t(f) be the third derivative of d(f). Factor t(u).
-u**4*(u - 2)/4
Suppose 0 = -3*v - 16 + 4, 5*j + v + 4 = 0. Let k(r) be the first derivative of -5/12*r**3 + 1/4*r**4 + 11 + j*r + 1/4*r**2 - 1/20*r**5. Solve k(n) = 0 for n.
0, 1, 2
Suppose 16/5*g + 3*g**3 + 0 + 7*g**4 - 14*g**2 + 4/5*g**5 = 0. Calculate g.
-8, -2, 0, 1/4, 1
Let x(i) = -7*i**3 + 40*i**2 + 22*i - 242. Let v(c) = 20*c**3 - 80*c**2 - 45*c + 485. Let r(f) = 2*v(f) + 5*x(f). Suppose r(y) = 0. What is y?
-6, -4, 2
Let w be (22/5 - 236/59)*18/4. Suppose 0 = -s + 6*s - 10. Find x such that 6/5*x - 1/5*x**s - w = 0.
3
Suppose -7 + 7 = -44*i. Let s(t) be the second derivative of -1/3*t**3 + i*t**5 - 2/15*t**6 + 1/3*t**4 + 7*t + 0 + 1/21*t**7 + 0*t**2. Factor s(n).
2*n*(n - 1)**3*(n + 1)
Factor -174*k**2 + 83*k**2 - 10*k + 89*k**2 - 40 - 8*k.
-2*(k + 4)*(k + 5)
Let g be -51*62/(-42) - -1. Let m = g - 76. Determine x, given that -2/7*x**3 - 1/7*x**2 + 1/7*x**4 + m*x + 0 = 0.
-1, 0, 1, 2
Let k(r) = -6*r - 50. Let f be k(0). Let v = f - -50. What is s in 12/7*s**4 - 24/7*s**3 + 16/7*s**2 + v*s - 2/7*s**5 + 0 = 0?
0, 2
Let s(f) be the first derivative of f**5/5 - f**4 - 11*f**3/3 - 3*f**2 - 228. Factor s(v).
v*(v - 6)*(v + 1)**2
Let x(t) = -t**3 + 25*t**2 - 35*t + 15. Let h(d) = 2*d**3 - 52*d**2 + 71*d - 30. Let i(b) = -4*h(b) - 9*x(b). Suppose i(j) = 0. What is j?
1, 15
Let k be 2 - 5/10*4. Let c(n) be the first derivative of 2/21*n**3 + 0*n**2 - 2 + k*n**4 + 0*n - 2/35*n**5. Suppose c(a) = 0. Calculate a.
-1, 0, 1
Let a(y) be the second derivative of -9*y**5/140 - y**4/4 + 6*y**2/7 + 2*y - 21. Factor a(q).
-3*(q + 1)*(q + 2)*(3*q - 2)/7
Let j(p) = -p**2 + 13*p + 16. Let b be j(14). Suppose -b*i = i - 15. What is c in 14*c**i + 4*c**4 - 13*c**5 - 3*c**4 = 0?
-1, 0
Let u(o) be the third derivative of -o**7/630 + o**6/30 - o**5/18 - o**4/6 + 11*o**3/18 + 33*o**2. Solve u(c) = 0.
-1, 1, 11
Let q be (-4 + 14)/2 + (-11 - 260/(-35)). Find g, given that 16/7*g - 8/7 + q*g**2 = 0.
-2, 2/5
Let p(y) = -5*y**4 + 115*y**3 - 465*y**2 + 600*y - 250. Let v(n) = 2*n**4 - 57*n**3 + 233*n**2 - 300*n + 125. Let h(s) = -3*p(s) - 5*v(s). Factor h(j).
5*(j - 5)**2*(j - 1)**2
Let a(u) be the second derivative of -5*u**4/12 - 135*u**3 - 32805*u**2/2 - 2*u - 112. Suppose a(p) = 0. What is p?
-81
Solve 10/9*g**5 + 64/9 + 2/9*g**3 + 8*g - 232/9*g**2 + 28/3*g**4 = 0 for g.
-8, -2, -2/5, 1
Factor -1/6*i**2 + 2*i - 9/2.
-(i - 9)*(i - 3)/6
Let v(y) be the second derivative of y**3/6 + 33*y. Let a(s) = 3*s**3 - 7*s**2 + 2*s - 1. Let j(u) = -a(u) - 3*v(u). Suppose j(k) = 0. What is k?
1/3, 1
Let a(m) = 3*m**3 + m**2 + m + 2. Let z(w) = 26*w**3 + 4*w**2 + 2*w + 16. Let t(p) = -8*a(p) + z(p). Factor t(b).
2*b*(b - 3)*(b + 1)
Let r = 112 + -780/7. Suppose -16*x = -22 - 10. Let 2/7*p**3 + r*p**x - 16/7 - 8/7*p = 0. What is p?
-2, 2
Let y be 3 + 3 - (-2212)/14. Let b = y + -983/6. Factor 0 + b*m**3 + 1/6*m + 1/3*m**2.
m*(m + 1)**2/6
Let f be -26 + 436/16 + -1 + 10/8. Solve s**2 - 1 - 3/2*s + f*s**3 = 0.
-1, -2/3, 1
Let t = 5147/3 + -1715. Let 0 - 2/3*a + t*a**3 + 2/3*a**4 - 2/3*a**2 = 0. Calculate a.
-1, 0, 1
Let q(a) = -317*a - 2216. Let b be q(-7). Determine v so that 2048/19 + 40/19*v**4 - 2/19*v**5 - 2560/19*v + 1280/19*v**2 - 320/19*v**b = 0.
4
Let j(u) = 2*u**3 - 2*u**2 - 2*u + 4. Let q be j(1). Let o(c) be the second derivative of 0*c**q + 1/48*c**3 - 1/48*c**4 - 4*c + 0. Factor o(y).
-y*(2*y - 1)/8
Let b(f) be the first derivative of -f**3/3 - f**2/2 - f - 5. Let m(q) = 8*q**2 - 7*q - 55. Let v(p) = 36*b(p) + 4*m(p). Determine s, given that v(s) = 0.
-8
Let f(o) be the first derivative of 1/24*o**6 + 1/3*o**3 + 1/8*o**2 + 0*o + 3/8*o**4 + 8 + 1/5*o**5. Factor f(w).
w*(w + 1)**4/4
Let w(h) be the first derivative of h**6/15 - h**5/5 + h**4/6 - 9*h - 24. Let b(o) be the first derivative of w(o). Solve b(m) = 0 for m.
0, 1
Let k = -5311/8 - -664. Let i(c) be the third derivative of 1/40*c**6 - 1/10*c**5 + 5*c**2 + 0 + 0*c + 0*c**3 + k*c**4. Let i(t) = 0. What is t?
0, 1
Let l(k) be the first derivative of -5*k**4/24 + 10*k**3/9 + 5*k**2/4 - 15*k - 59. Let l(j) = 0. Calculate j.
-2, 3
Let f(b) be the second derivative of -b**8/560 - b**7/350 + b**6/200 + b**5/100 - 7*b**2 - 3*b. Let g(r) be the first derivative of f(r). What is q in g(q) = 0?
-1, 0, 1
Let i be 912/176 - (-4 - 138/(-33)). Let n(m) be the third derivative of -1/33*m**4 - 7*m**2 + 0*m - 1/11*m**3 - 1/330*m**i + 0. Suppose n(x) = 0. Calculate x.
-3, -1
Let m(w) = w**5 - w**3 + w**2 + w + 1. Let f(v) = -732*v**5 + 6804*v**4 + 127