4 - 5*p**3 - 14*p**2 + 4. Determine k, given that s(k) = 0.
-2, 5
Let d(b) = -5*b**4 - 3*b**3 + 15*b**2 + 4*b + 1. Let v(k) = 5*k**4 + 2*k**3 - 15*k**2 - 4*k. Let w(o) = 4*d(o) + 5*v(o). Factor w(q).
(q - 2)*(q + 1)**2*(5*q - 2)
Let d = 1092932 - 12031665/11. Let y = -855 - d. Let 2/11*k**2 + 10/11*k + y = 0. What is k?
-4, -1
Factor -71*p + 73*p**2 - 14 - 65*p**2 + 76*p + p**3.
(p - 1)*(p + 2)*(p + 7)
Suppose -x + 4*x = -n, 4*n - x = 0. Suppose 5*m = b + 18, 3*m + 5*b + n = -6. Factor -15*i**4 - 3*i + 3*i**m + 14*i**4 - i.
-i*(i - 2)**2*(i + 1)
Let d(r) be the second derivative of 0 + 1/10*r**3 - 2*r - 1/50*r**6 - 3/20*r**4 + 9/100*r**5 + 0*r**2. Let d(k) = 0. What is k?
0, 1
Factor -2/19*k**2 + 0 + 132/19*k.
-2*k*(k - 66)/19
Let k = 189 + -121. Determine n, given that -k*n + 14*n + 3*n**2 + 199 + 101 - 57 = 0.
9
Let s be (-1)/((-125)/10 + 12). Factor 2/13*k**s + 2/13 - 4/13*k.
2*(k - 1)**2/13
Let h(x) be the first derivative of -x**5/20 - 7*x**4/16 - 3*x**3/2 - 5*x**2/2 - 2*x + 131. What is f in h(f) = 0?
-2, -1
Let h(d) be the third derivative of -1/9*d**3 + 0 - 1/180*d**5 + 0*d - 1/24*d**4 + 13*d**2. Factor h(l).
-(l + 1)*(l + 2)/3
Suppose -37*o = -39*o + 8. Suppose 5*l = 2*b + 98, 108 = o*l - 4*b + 20. Let 27/2*k + 3 + 15/2*k**3 + l*k**2 = 0. Calculate k.
-1, -2/5
Let z be (33/(-9) - -3) + 1/(-3). Let p = -3/4 - z. Solve -p*b**2 + 0*b + 0 = 0 for b.
0
Factor -5*q**3 - 19*q**5 + q**4 + 3*q**2 + 27*q**5 - 7*q**5.
q**2*(q - 1)**2*(q + 3)
Let z = -11111 + 33334/3. Factor 0 - 1/3*f + 0*f**2 + z*f**3.
f*(f - 1)*(f + 1)/3
Let i(l) be the third derivative of 0*l**4 - 1/120*l**5 + 12*l**2 + 1/420*l**7 + 0*l + 0 + 0*l**3 + 0*l**6. What is x in i(x) = 0?
-1, 0, 1
Let a(y) be the third derivative of y**6/24 - 47*y**5/12 - 485*y**4/24 - 245*y**3/6 + 18*y**2 - 7*y. Factor a(c).
5*(c - 49)*(c + 1)**2
Let a be (((-32)/(-6))/(-4))/((-2)/438). Suppose 4*q + 284 = a. Let -6/5*x**3 + 2*x**4 - 4/5*x**q + 0 + 0*x = 0. Calculate x.
-2/5, 0, 1
Let h be (-3 - -7 - -14) + -2. Factor 45 - 3*b + 5*b**2 - 11*b - h*b.
5*(b - 3)**2
Solve 9/8*w**2 + 3/4*w + 0 + 3/8*w**3 = 0 for w.
-2, -1, 0
Let i(c) be the first derivative of c**5/35 - 3*c**4/4 + 2. Determine h, given that i(h) = 0.
0, 21
Factor 0*l + 7/6*l**4 - 1/3*l**3 - 5/6*l**5 + 0 + 0*l**2.
-l**3*(l - 1)*(5*l - 2)/6
Let t(m) = 3*m**2 + 33*m - 24. Let l(s) = -7*s**2 - 64*s + 49. Let f(j) = 6*l(j) + 11*t(j). Factor f(d).
-3*(d - 1)*(3*d + 10)
Let r(a) = 4*a**5 + a**4 - 5*a**3 + 3*a**2 - 3*a + 6. Let g(o) = -15*o**5 - 4*o**4 + 20*o**3 - 12*o**2 + 11*o - 22. Let t(c) = 3*g(c) + 11*r(c). Factor t(n).
-n**2*(n - 1)**2*(n + 3)
Let k be (-1)/(1 - (3/9 - -1)). Find s such that 20*s + 20*s**3 - 30*s**4 + 11 + 10*s**2 + 9 + 25*s - 5*s**5 - 60*s**k = 0.
-4, -1, 1
Factor -92/3*v + 200/3 - 4/3*v**2.
-4*(v - 2)*(v + 25)/3
Let o = -45506/5 + 9102. Factor 12/5*b - o*b**2 + 0.
-4*b*(b - 3)/5
Let u(r) = -11*r**3 - 41*r**2 + 512*r - 1471. Let a(z) = -5*z**3 - 21*z**2 + 255*z - 735. Let l(d) = 13*a(d) - 6*u(d). Factor l(m).
(m - 9)**3
Let t = 483 + -2407/5. Suppose 11*l - 15 - 7 = 0. Let -6/5 - 2/5*k**l - t*k = 0. Calculate k.
-3, -1
Let a be (-130)/(-56) - 0/(-11). Let s = a - -1/84. Determine r so that -r**4 + 3/2*r - 8/3*r**2 + s*r**3 + 1/6*r**5 - 1/3 = 0.
1, 2
Let c(j) be the first derivative of 3*j**4/20 - 8*j**3/5 + 63*j**2/10 - 54*j/5 - 164. Let c(f) = 0. Calculate f.
2, 3
Let c(f) be the first derivative of -4*f**5/5 + 6*f**4 - 16*f**3/3 - 48*f**2 + 128*f - 197. Factor c(a).
-4*(a - 4)*(a - 2)**2*(a + 2)
Suppose 41 = 4*l + 33. Solve 97*c**l - 1 - 7 - 95*c**2 = 0.
-2, 2
Let r(a) = a**2 - a - 12. Let v be (-12)/(-2) - 2 - -1. Let d be r(v). Factor -8 - d*n + 4*n**3 + 4*n**2 - 2*n**4 + 3*n**2 - n**2 + 0*n**2.
-2*(n - 2)**2*(n + 1)**2
Let -15*x - 153/8*x**2 - 93/8*x**3 - 3/8*x**5 - 27/8*x**4 - 9/2 = 0. Calculate x.
-3, -2, -1
Let x be (-11 - -15) + 10/2. Let -21*k + x*k - 6 - 2 + 4*k**3 = 0. Calculate k.
-1, 2
Let b be -6 - -172*6/168. What is x in 2/7*x**2 - x + 4/7 + b*x**3 = 0?
-4, 1
Find z, given that -139*z - z**5 - 34*z**3 + 340*z - 25 + 11*z**4 + 14*z**2 - 166*z = 0.
-1, 1, 5
Let j(b) be the first derivative of -2*b**3/9 + 38*b**2/3 + 160*b/3 - 354. What is h in j(h) = 0?
-2, 40
Let q(n) = n**3 + 4*n**2 + n + 4. Let c be q(-4). Let o(z) = 12*z**2 - 626*z + 104. Let a be o(52). Factor 3/4*t**3 - 3/4*t**2 + a*t + c.
3*t**2*(t - 1)/4
Let t = -18039 - -18041. What is k in 0 + 8/7*k - 4/7*k**t = 0?
0, 2
Let q be (45/(-10))/(54/(-9 + 0)). Determine i so that 3/8*i**2 + q*i + 3/8 = 0.
-1
Factor -8541936/5 + 2/15*z**3 + 109512/5*z - 468/5*z**2.
2*(z - 234)**3/15
Suppose 154*z - 380 = 6 + 76. What is b in -9/2 - b**z - 1/2*b**5 + 3/2*b + 7*b**2 - 5/2*b**4 = 0?
-3, -1, 1
Let j(s) = 37*s**3 + 27*s**2 + 3*s. Let u(k) be the second derivative of -12*k**5 - 44*k**4/3 - 10*k**3/3 + 14*k. Let v(g) = -32*j(g) - 5*u(g). Factor v(z).
4*z*(2*z + 1)**2
Let l(k) be the third derivative of -k**5/42 + k**4/2 - 16*k**3/21 + 322*k**2. Determine n so that l(n) = 0.
2/5, 8
Let b = -50/39 + 254/117. Let i(g) be the second derivative of b*g**3 + 16/3*g**2 + 1/18*g**4 + 0 + 5*g. Factor i(q).
2*(q + 4)**2/3
Let z(s) be the first derivative of 0*s**2 + 1/4*s**3 - 2 + 0*s + 3/32*s**4. What is u in z(u) = 0?
-2, 0
Let p(n) be the third derivative of -2*n**2 - 1/150*n**5 - 1/60*n**4 + 0*n + 34 + 1/300*n**6 + 1/15*n**3. Solve p(s) = 0 for s.
-1, 1
Let o(v) be the first derivative of -v**7/42 + 2*v**6/15 - 3*v**5/10 + v**4/3 - v**3/6 + v - 9. Let l(f) be the first derivative of o(f). Solve l(p) = 0 for p.
0, 1
Suppose 96/7*r - 16*r**2 - 32/7 + 64/7*r**3 - 18/7*r**4 + 2/7*r**5 = 0. Calculate r.
1, 2
Let a(u) = u**4 - u**3 + u**2 - 1. Let x(r) = -28*r**4 - 28*r**2 + 96*r - 40. Let c(m) = 24*a(m) + x(m). Factor c(s).
-4*(s - 1)**2*(s + 4)**2
Suppose 4*v - 3 = v, 0 = -d + 3*v. Suppose -2*j + 8 = 2*j. Factor 6 + 13*z**d - 17*z**3 - 6*z**j - 3*z + 7*z**3.
3*(z - 2)*(z - 1)*(z + 1)
Let n(h) be the third derivative of h**6/50 + 79*h**5/75 - 23*h**4/5 + 112*h**3/15 - 225*h**2. Determine j so that n(j) = 0.
-28, 2/3, 1
Suppose -56*k - 9 = -53*k. Let m(n) = -n**3 - n + 1. Let l(c) = -c**3 + 2*c**2 - 3*c + 3. Let t(s) = k*m(s) + l(s). Find p such that t(p) = 0.
-1, 0
Let j(t) be the second derivative of -7/55*t**6 + 8/11*t**3 + 0 - 73/110*t**5 + 7/33*t**7 + 4/11*t**2 + 4*t + 17/66*t**4. Find a such that j(a) = 0.
-1, -2/7, 1
Let u be 76/16 + 322/(-184). Find i such that 6/5*i**5 + 0*i + 12/5*i**2 + 0 - 2*i**u - 16/5*i**4 = 0.
-1, 0, 2/3, 3
Let f(a) be the third derivative of -a**5/35 - 19*a**4/56 - 3*a**3/2 + 2*a**2 + 25. Factor f(l).
-3*(l + 3)*(4*l + 7)/7
Suppose -h - 5*d = 4*h - 40, -2*h - 5*d = -16. Let i(k) be the first derivative of 5 + 10*k**2 + 16/3*k**3 + h*k + k**4. Determine c so that i(c) = 0.
-2, -1
Let l(t) be the first derivative of 1/42*t**4 + 5 + 0*t**3 + 0*t**2 + 7*t. Let o(p) be the first derivative of l(p). Solve o(m) = 0 for m.
0
Let z be 0 + 1 + 204 + 0/(-41). Let u = 207 - z. What is y in 1/6*y - 1/3 + 1/6*y**u = 0?
-2, 1
Let a(c) = c - 2. Suppose -23 = -5*z - 2*n, -n - 1 = 3*z - 15. Let f be a(z). Factor -24 + f*p**3 + 51*p - 17*p**2 - p**2 - 15*p.
3*(p - 2)**3
Suppose 28*i - 6 = 26*i. Find h, given that -10*h**i - 8*h**2 + 11*h**2 + 2*h**4 + 3*h**4 + 2*h**2 = 0.
0, 1
Let d(l) be the first derivative of -24*l + 41 - l**3 + 27/2*l**2. Find c, given that d(c) = 0.
1, 8
Let c(p) = -6 + 6 + 5 + 4*p**2 + 0*p**2 + 5*p + 3*p**3. Let r(a) = 8*a**3 + 12*a**2 + 14*a + 14. Let v(t) = 14*c(t) - 5*r(t). Factor v(q).
2*q**2*(q - 2)
Let t(a) be the first derivative of -2*a**3/33 + 4*a**2 - 88*a + 43. Find p, given that t(p) = 0.
22
Suppose 5*s = 4*s - 2*s. Let g(w) be the third derivative of -1/40*w**6 + 0*w + s - 2*w**2 + 0*w**5 + 0*w**4 + 1/210*w**7 + 0*w**3. Factor g(z).
z**3*(z - 3)
Let m(l) be the third derivative of l**7/1890 - l**6/216 - 17*l**5/540 + 7*l**4/72 + 149*l**2 + 2*l. Factor m(a).
a*(a - 7)*(a - 1)*(a + 3)/9
Suppose 14*c**4 + 3*c**2 - 15*c**4 - 15*c + 13*c = 0. Calculate c.
-2, 0, 1
Let v(w) = 2*w**2 - 130*w - 266. Let a be v(67). Factor 2/3*s + 0 + 1/3*s**a.
s*(s + 2)/3
Suppose 4*t - 3402 + 3394 = 0. Let n(o) be the first derivative of 2 + 0*o**t + 3/14*o**4 - 2/35*o**5 - 4/21*o**3 + 0*o. Let n(j) = 0. Calculate j.
0, 1, 2
Let i(b) be the th