ose -2*l - 78 + 214 = -3*i, 3*l - 4*i = 204. Factor l*j**3 + j**4 + 0*j**5 + j**5 - 70*j**3.
j**3*(j - 1)*(j + 2)
Let w(t) be the third derivative of -1/6*t**5 + 1/21*t**7 + 0*t**3 - 5/336*t**8 + 10*t**2 + 0*t**4 + 0*t + 1/24*t**6 + 0. Determine b so that w(b) = 0.
-1, 0, 1, 2
Let k be 4484/(-14573) - (1 + (-112)/26). Find y, given that 1/3*y**k + 14/3*y**2 + 24 + 20*y = 0.
-6, -2
Determine u so that 12*u**3 + 12 - 40*u + 6*u**2 - 3*u**4 + 0 - 3 + u**4 + 15 = 0.
-2, 1, 6
Let t = -6 - -8. Factor -20*l + 4 + 20 - 72*l + 10*l**2 + 18*l**t.
4*(l - 3)*(7*l - 2)
Let j = 257/3228 + 1/269. Let y(i) be the first derivative of 0*i - 1/18*i**3 - j*i**2 + 1. Factor y(b).
-b*(b + 1)/6
Let s(g) = -4*g + 23. Let p be s(5). Factor -b**4 - b**p - b**5 - 3*b**4 + 2*b**3 - 2*b**2 - 6*b**3.
-b**2*(b + 1)**2*(b + 2)
Let x be (-5)/(1/((-170)/(-15))). Let m = -56 - x. Solve -4/3*r + m*r**4 - 2/3 + 4/3*r**3 + 0*r**2 = 0 for r.
-1, 1
Let x(g) = 2*g + 19. Suppose -2*r + 4 = -h, 2*h - 5*r + 2 = -4. Let i be x(h). Factor 9*z**2 + 44*z - 33*z**2 - 32*z + 15*z**3 - i*z**4.
-3*z*(z - 2)**2*(z - 1)
Solve -5*b**2 - 68*b + 34*b + 239*b + 243*b - 15680 + 112*b = 0 for b.
56
Let y = 18 + -21. Let s(v) = 2*v**2 + 3*v - 7. Let g be s(y). Factor 1/4*b + 0 - 3/4*b**g.
-b*(3*b - 1)/4
Let c(u) be the first derivative of u**6/8 - 3*u**5/4 + 3*u**4/2 - u**3 + 271. Solve c(l) = 0 for l.
0, 1, 2
Let t = 1531/15 + -102. Let g(w) be the first derivative of t*w**3 + 0*w**2 + 0*w + 4. Factor g(p).
p**2/5
Suppose -35*g - 8*g = -54 - 118. Solve -20/3*o**2 - 2*o**3 + g - 2/3*o = 0 for o.
-3, -1, 2/3
Let y(i) be the third derivative of i**10/15120 + i**9/1512 + i**8/480 + i**7/420 + 7*i**4/8 + 21*i**2. Let r(o) be the second derivative of y(o). Factor r(n).
2*n**2*(n + 1)**2*(n + 3)
Suppose 4*r - 22 = 2*a, 386*a - 385*a - 10 = -5*r. Determine b so that 0*b + 24/7*b**r + 20/7*b**2 + 4/7*b**4 + 0 = 0.
-5, -1, 0
Let b(m) be the second derivative of 5/12*m**4 + 0 + 3/2*m**2 - m**3 - 2*m + 1/15*m**5. Let a(n) be the first derivative of b(n). Factor a(o).
2*(o + 3)*(2*o - 1)
Let k be 489/(-6) + (-30)/6 + 8. Let i = -78 - k. Factor 0 + 1/2*f**2 - 1/2*f**4 + 0*f - 1/2*f**5 + i*f**3.
-f**2*(f - 1)*(f + 1)**2/2
Let j(r) be the third derivative of 1/20*r**5 - 4*r**2 + 1/360*r**6 + 0*r + 3/8*r**4 + 0 + 3/2*r**3. Factor j(l).
(l + 3)**3/3
Let u be (-399)/(-38) + 1/2. Suppose d - u = -4*f, f - 6 + 1 = -d. Find n such that -3 + 6*n**2 - d*n**4 + 20*n - 20*n = 0.
-1, 1
Let f(p) = 2*p**2 + 7*p - 13. Let y be f(-5). Factor 35 + 9*r - 41 - y*r**2 - r**2.
-3*(r - 2)*(r - 1)
Let d be (-880)/(-80) - (-2)/(-4)*0. Determine u so that 17*u**2 - 33*u**2 - d*u**3 + 13*u**2 + 5*u**3 + 6*u + 3*u**4 = 0.
-1, 0, 1, 2
Determine m, given that 0 + 0*m**2 - 1/2*m**5 + 0*m**4 + 0*m + 1/2*m**3 = 0.
-1, 0, 1
Let k(p) be the second derivative of p**6/24 - p**5/6 - 5*p**4/24 + 5*p**3/3 + 17*p**2/2 - p. Let d(r) be the first derivative of k(r). Factor d(w).
5*(w - 2)*(w - 1)*(w + 1)
Let z(v) be the first derivative of 2*v**3 + 3/4*v**4 + 0*v**2 - 27 - 24/5*v**5 + 0*v + 5/2*v**6. Find x, given that z(x) = 0.
-2/5, 0, 1
Let s = 668/291 - -36/97. Let g(i) be the first derivative of -3/10*i**4 + 28/5*i**5 + 9 + 49/15*i**6 + 4/5*i**2 + 0*i - s*i**3. Find t, given that g(t) = 0.
-1, 0, 2/7
Let f(b) be the second derivative of -b**6/5 - 7*b**5/10 + 23*b**4/6 - 13*b**3/3 + 607*b. Find j, given that f(j) = 0.
-13/3, 0, 1
Let d(n) be the third derivative of n**7/140 - 7*n**5/40 + 3*n**4/8 + 3*n**2 - 5*n. Factor d(c).
3*c*(c - 2)*(c - 1)*(c + 3)/2
Let v be (-20 + 0)/(-1) - 0. Determine u so that -5*u**4 + 0*u**4 - 2*u**2 - 13*u**2 - v*u**3 = 0.
-3, -1, 0
Let w(s) be the second derivative of s**7/189 - 2*s**6/45 - 11*s**5/90 + 10*s**4/9 + 100*s**3/27 + 202*s. Solve w(v) = 0 for v.
-2, 0, 5
Let t(b) = 19*b**2 + 961*b - 18. Let a(y) = -9*y**2 - 481*y + 8. Let j(v) = 9*a(v) + 4*t(v). Let j(l) = 0. What is l?
-97, 0
Let p(v) be the first derivative of -v**6/45 + 112*v**5/75 - 512*v**4/15 + 11324*v**3/45 + 1805*v**2/3 - 27436*v/15 - 190. Solve p(d) = 0.
-2, 1, 19
Let w(f) be the first derivative of 2*f**7/525 + f**6/150 + 5*f**2 + 10. Let v(r) be the second derivative of w(r). Suppose v(j) = 0. What is j?
-1, 0
Let v(x) be the second derivative of x**7/252 - x**6/36 + x**5/60 + 7*x**4/36 - x**3/12 - 3*x**2/4 + x - 4. Find o such that v(o) = 0.
-1, 1, 3
Let b be 0/(4 - (5 + 0)). Let p(o) be the second derivative of b*o**2 + 3/8*o**5 + 0 + 0*o**3 + 5/12*o**4 - 5*o - 5/3*o**6. Factor p(q).
-5*q**2*(4*q + 1)*(5*q - 2)/2
Determine f so that 11/3*f**3 - 8/3 - 9*f**2 + 25/3*f - 1/3*f**4 = 0.
1, 8
Let z be (-270)/180*(-4)/3. Let l be 1 + 52/22 + -3. Factor l - 6/11*k + 2/11*k**z.
2*(k - 2)*(k - 1)/11
Determine m so that -198544 + 85369*m**2 + 22144 - 85373*m**2 + 1680*m = 0.
210
Let s = 30 + -19. Let u = -9 + s. Determine k, given that -1/4*k + 0 - 1/4*k**u = 0.
-1, 0
Let m be (-3465)/275 - (-2 - 11). Let j(l) be the first derivative of 0*l - m*l**5 + 0*l**4 + 2/3*l**3 + 0*l**2 - 2. Factor j(a).
-2*a**2*(a - 1)*(a + 1)
Let w(p) = -26*p - 99. Let n be w(-4). Let c(q) = q**3 + 4*q**2 + 3*q. Let z be c(-3). Let 0*v**2 - 2/11*v**n + z*v + 0 + 2/11*v**3 + 0*v**4 = 0. Calculate v.
-1, 0, 1
Let f(x) = -146*x**2 - 466*x - 24. Let z(v) = v**2 + v. Let b(u) = -f(u) + 10*z(u). Determine i so that b(i) = 0.
-3, -2/39
Let q be 12/(-64)*3/(-45). Let k(n) be the second derivative of 1/112*n**7 + 1/8*n**3 + 1/32*n**4 + 5*n + 0*n**2 + 0 - 9/160*n**5 - q*n**6. Solve k(f) = 0.
-1, 0, 1, 2
Let t be (2 - 2)/(-4)*1. Suppose 4*f + 4*w - 11 - 1 = t, 4*f = w - 3. Factor f*v + 0 + 0*v**2 + 2/5*v**3 - 2/5*v**4.
-2*v**3*(v - 1)/5
Suppose 10*p - 16 = 6*p. Factor 4*o**p + 4*o**2 - o**3 + o**3 - 8*o**3.
4*o**2*(o - 1)**2
Let j(a) be the second derivative of a**5/300 - 7*a**4/60 + 49*a**3/30 - 19*a**2/2 + 9*a. Let l(t) be the first derivative of j(t). Factor l(d).
(d - 7)**2/5
Suppose 4*y - 8*y + 28 = 0. Suppose -y*u = -3*u - 12. Find h such that -2/5*h**5 + 8/5 - 38/5*h**u + 10*h**2 + 14/5*h**4 - 32/5*h = 0.
1, 2
Determine i, given that -3/8*i + 3/4*i**4 - 27/2*i**2 + 45/8*i**5 - 69/4*i**3 + 3/4 = 0.
-1, -1/3, 1/5, 2
Let p(s) = 3*s**2 + s - 1. Let b be p(-3). Let n = 44 - b. Factor -4*z**2 + 15*z**4 + 18*z**3 - n*z**3 - 9*z**5 + z**2.
-3*z**2*(z - 1)**2*(3*z + 1)
Let m(l) be the second derivative of 3/10*l**5 - 7*l - 1/15*l**6 + 1/6*l**4 - 2/21*l**7 + 0*l**2 - 1/3*l**3 + 0. Suppose m(d) = 0. What is d?
-1, 0, 1/2, 1
Let d = 49/106 + 2/53. Let r(b) be the first derivative of -b + 7/8*b**4 + 1/2*b**5 - d*b**3 + 10 - 7/4*b**2. What is j in r(j) = 0?
-1, -2/5, 1
Let z(j) be the first derivative of -j**7/560 + j**6/240 + 16*j**3/3 - 16. Let i(d) be the third derivative of z(d). Factor i(y).
-3*y**2*(y - 1)/2
Suppose 15/2*c - 3/2*c**2 + 0 = 0. Calculate c.
0, 5
Let i(w) be the third derivative of w**5/10 + 19*w**4/8 - 5*w**3 + 128*w**2. Suppose i(n) = 0. What is n?
-10, 1/2
Let 0 - 2/7*k**3 - 120/7*k + 122/7*k**2 = 0. Calculate k.
0, 1, 60
Let s(a) be the first derivative of a**3/15 + 9*a**2/2 - 236. Determine v, given that s(v) = 0.
-45, 0
Factor 0*v + 1/2*v**5 + 1/2*v**3 + 0*v**2 - v**4 + 0.
v**3*(v - 1)**2/2
Factor 5*i**4 - 57*i**3 - 52*i**3 + 124*i**3.
5*i**3*(i + 3)
Find t such that 5*t**2 + 20 - 27*t**3 - 18*t**3 + 100*t + 19*t**2 + 11*t**2 = 0.
-1, -2/9, 2
Suppose b + 6 = 4*h - 0*h, 2*h + 4*b + 6 = 0. Let l be h/((-6)/4) - 6/(-9). Factor -1/4*k**2 + l*k + 1/4.
-(k - 1)*(k + 1)/4
Let o(a) = 45*a**2 - 95*a + 155. Let p(m) = 11*m**2 - 24*m + 39. Let k = -11 - -17. Let w(d) = k*o(d) - 25*p(d). Find j such that w(j) = 0.
3
Let r(n) = -n**3 + 12*n**2 - 11*n - 4. Let d be r(11). Let q = 10 - d. Determine t so that 12*t**2 - q*t - 15 + 7*t - 13*t + 7 = 0.
-1/3, 2
Let o(r) be the second derivative of -3*r**6/10 - 3*r**5/20 + 23*r**4/12 - 13*r**3/6 + r**2 + 6*r. Find y such that o(y) = 0.
-2, 1/3, 1
Let k be 1/(-2) + 121/(-22). Let g = k - -9. Suppose -p**2 + p + p - g*p + 2 = 0. What is p?
-2, 1
Let c(l) be the first derivative of -1/5*l**2 + 13 - 33/10*l**4 + 0*l - 16/15*l**6 - 16/5*l**5 - 4/3*l**3. Factor c(f).
-2*f*(f + 1)**2*(4*f + 1)**2/5
Let q(j) = 9*j**5 - 4*j**4 - 14*j**3 - 15*j**2 - 7*j. Let u(s) = 4*s**5 - 2*s**4 - 7*s**3 - 7*s**2 - 3*s. Let d(x) = -3*q(x) + 7*u(x). Factor d(w).
w**2*