erivative of 0*k - 1/9*k**4 + 2/45*k**6 - 11 - k**2 + 1/315*k**7 + 1/9*k**3 - 1/45*k**5 - 1/126*k**8. Let c(m) = 0. Calculate m.
-1, 1/4, 1
Let h(r) = 23*r**2 - 1068*r - 611. Let v be h(47). Factor 64/5*j**2 + 4/5*j**4 + 8*j**3 + 0 + v*j.
4*j**2*(j + 2)*(j + 8)/5
Suppose 27*d = 28*d - 2. Determine k, given that -2*k**4 + 5*k - 4*k**3 - k + 4*k**2 - 2*k**2 + 0*k**d = 0.
-2, -1, 0, 1
Let c(n) be the first derivative of -2*n**3/27 + 923*n**2/9 - 1844*n/9 - 5384. What is a in c(a) = 0?
1, 922
Factor -177/2 + 115/4*a + 1/4*a**2.
(a - 3)*(a + 118)/4
Factor -402/7 - 1/7*o**2 - 73/7*o.
-(o + 6)*(o + 67)/7
Let s = -163 - -198. Let x be 0/(21/s*-5). Solve 0*r + 0*r**2 - 2/5*r**3 + x = 0 for r.
0
What is w in -270 - 2607/4*w**3 + 54*w**4 - 501*w + 21/4*w**5 + 2727/2*w**2 = 0?
-18, -2/7, 1, 2, 5
Let t(g) be the third derivative of -1/240*g**5 + 0*g - 7/6*g**3 + 0 - 9*g**2 - 1/6*g**4. Factor t(h).
-(h + 2)*(h + 14)/4
Let u(a) be the first derivative of -2*a**3/3 - 3640*a**2 - 6624800*a + 3566. Factor u(c).
-2*(c + 1820)**2
Suppose 1/5*g**2 - 42/5 - 11/5*g = 0. Calculate g.
-3, 14
Suppose 39/2*q**3 - 9/2*q**5 - 12 - 6*q + 27*q**2 - 6*q**4 = 0. What is q?
-2, -1, 2/3, 2
Let h(s) = 43*s**3 + 93*s**2 - 1109*s - 571. Let n(a) = -11*a**3 - 23*a**2 + 277*a + 141. Let i(v) = -6*h(v) - 26*n(v). Factor i(f).
4*(f - 4)*(f + 5)*(7*f + 3)
Let w(q) = q**4 + q**3 - q**2 - q + 2. Let x(t) = -8*t**4 - 19*t**3 + 33*t**2 - 13*t - 11. Let b(u) = -18*w(u) - 2*x(u). Factor b(i).
-2*(i - 7)*(i - 1)**3
Let t be (62/20 + -3)/(1073/16414). Let b = t + 10/37. What is w in -2/5 + b*w - 7/5*w**2 = 0?
2/7, 1
Let c(f) = -f**2 + 5*f - 3. Let x(l) = l**2 - 5*l + 2. Suppose 0 = -4*w - 5*m - 3, -2*w - 3*m + 7 - 10 = 0. Let s(b) = w*x(b) + 2*c(b). Factor s(v).
v*(v - 5)
Factor 104/7*f**2 - 597/7*f - 1/7*f**3 + 126.
-(f - 98)*(f - 3)**2/7
Let x(v) be the third derivative of -v**5/30 - 116*v**4 - 161472*v**3 - 164*v**2. Find t, given that x(t) = 0.
-696
Let h(i) be the second derivative of i**6/165 + 9*i**5/110 - i**4/66 - 3*i**3/11 + 37*i + 2. Factor h(z).
2*z*(z - 1)*(z + 1)*(z + 9)/11
Let q be -30 + 8866/55 + 12. Solve -336*p + 16*p**3 - 882/5 - 2/5*p**4 - q*p**2 = 0 for p.
-1, 21
What is m in 40*m**4 + 1192*m**2 + 605*m**3 + 803*m**2 - 2320*m - 21379 + 21059 = 0?
-8, -1/8, 1
Suppose o - 21 = 11*i - 15*i, i + 6 = 2*o. Suppose 0 = -40*n + 38*n - 8, -g + 18 = -i*n. Factor -9*m - 15/2*m**2 - g + 25/4*m**3.
(m - 2)*(5*m + 2)**2/4
Find v such that 0 - 21/2*v**4 + 7*v**3 + 1/2*v**5 + 0*v + 60*v**2 = 0.
-2, 0, 3, 20
Suppose -15*v + 25 = -10*v. Suppose -a + 25 = v*p, -3*p + 7 + 8 = -2*a. Determine c so that 36*c**4 + 108*c**2 + 108*c**3 + 9*c**5 + 19*c**p - 24*c**5 = 0.
-3, 0
Let u(m) = -2. Let g(a) = a**2 + 1267*a - 1262. Let c(n) = g(n) + 3*u(n). What is d in c(d) = 0?
-1268, 1
Find k, given that -84*k + 2*k**3 - k**3 + 54864*k**2 - 54848*k**2 + 3*k**3 = 0.
-7, 0, 3
Let b(i) be the third derivative of -15/2*i**3 - 5/3*i**4 + 1/12*i**5 + 0*i - 28 + 2*i**2. Factor b(s).
5*(s - 9)*(s + 1)
Let o(g) be the first derivative of 4*g**3/3 + 46*g**2 - 560*g - 1845. Factor o(i).
4*(i - 5)*(i + 28)
Let y(a) = a**2 - 34*a - 19. Let r(q) = 2*q + 2. Let i(u) = -18*r(u) - 2*y(u). Let t be i(16). Solve 45/2*d**t - 12*d - 9/2 - 6*d**3 = 0.
-1/4, 1, 3
Suppose 4*t + 3*h - 14 = 0, 0*t + 2 = 2*t - h. Let x = -74 + 374/5. Determine l so that 2/5*l**t - 6/5 + x*l = 0.
-3, 1
Suppose 31 - 41 = -5*t. Suppose 0 = 2*c - c + 5*u + 23, 5*u + 21 = -t*c. Solve -7*r**3 - 4*r**5 - r**5 + c*r**3 + 0*r**5 - 10*r**4 = 0.
-1, 0
Factor 226*p + 2*p**5 + 1057374 + 90*p**2 - 1057466 - 218*p**2 - 52*p**3 + 44*p**4.
2*(p - 1)**3*(p + 2)*(p + 23)
Let m(o) be the third derivative of 7/120*o**4 - 1/100*o**5 + 0 + 2/3*o**3 + 8*o + 5*o**2. Let m(d) = 0. Calculate d.
-5/3, 4
Let y = 113/7 + -1667/105. Let j(k) be the first derivative of 7/20*k**2 - 1/60*k**6 - 1/25*k**5 + y*k**3 + 13 + 1/20*k**4 + 1/5*k. What is s in j(s) = 0?
-1, 2
Let m(f) be the second derivative of 5/6*f**3 + 2*f + 0*f**2 - 17 + 5/6*f**4. Factor m(b).
5*b*(2*b + 1)
Suppose 11/4 + 5/2*w + 1/4*w**4 - 5/2*w**3 - 3*w**2 = 0. What is w?
-1, 1, 11
Let u(l) = -60*l - 165. Let v be u(-5). Suppose -437*x - 2*x**2 - 7162 - 5513 + v*x - x**2 - 88*x = 0. Calculate x.
-65
Suppose 6/7*o**4 - 4/7*o**3 + 0 - 24/7*o**2 + 16/7*o = 0. What is o?
-2, 0, 2/3, 2
What is q in -14/5*q**2 + 86/5*q + 84/5 = 0?
-6/7, 7
Let n(z) be the first derivative of 1/10*z**6 + 2/5*z - 2/3*z**3 + 8/25*z**5 + 0*z**4 - 3/10*z**2 + 32. Find f, given that n(f) = 0.
-2, -1, 1/3, 1
Determine h, given that -5 - 20/3*h - 5/3*h**2 = 0.
-3, -1
Factor -4*h**3 - 11*h + 59/4*h**2 + 1/4*h**4 + 0.
h*(h - 11)*(h - 4)*(h - 1)/4
Let h(w) be the first derivative of -2*w**7/63 + w**5/15 + 18*w + 10. Let o(r) be the first derivative of h(r). Factor o(u).
-4*u**3*(u - 1)*(u + 1)/3
Let w(k) be the third derivative of -k**8/168 - 1433*k**7/105 - 128522*k**6/15 - 256328*k**5/15 - 1404*k**2. Find r such that w(r) = 0.
-716, -1, 0
Let z be 0/(9 + -4) - (-5 + 3)*2. Let k(r) be the first derivative of 1/12*r**z + 4/9*r**3 - 4/15*r**5 + 7 + 0*r - 1/6*r**2. Factor k(i).
-i*(i - 1)*(i + 1)*(4*i - 1)/3
Let t(c) be the third derivative of -c**6/40 - 23*c**5/4 + 186*c**4 - 2286*c**3 - 3*c**2 - 457. Factor t(x).
-3*(x - 6)**2*(x + 127)
Factor -2/11*h**3 - 24/11*h**2 + 0 - 2*h.
-2*h*(h + 1)*(h + 11)/11
Let c(b) be the third derivative of b**5/15 + 25*b**4/2 + 148*b**3/3 - 3057*b**2. Factor c(i).
4*(i + 1)*(i + 74)
Let c(d) be the first derivative of -2/39*d**3 - 3/13*d**2 - 12 + 0*d. Determine x, given that c(x) = 0.
-3, 0
Let i(x) be the second derivative of -5/42*x**7 - 625*x**2 + 1375/6*x**3 - 29/2*x**5 + 25/3*x**4 + 7/3*x**6 + 23*x + 0. Suppose i(u) = 0. Calculate u.
-2, 1, 5
Let x(o) = 41*o + 354. Let p be x(-9). Let k be 15/225*p/(-9). Factor k*y**3 + 16/3*y - 4/3*y**2 - 64/9.
(y - 4)**3/9
Suppose -36461*s + 174 = -36403*s. Factor -2/7*y**s - 20/7 - 6*y - 24/7*y**2.
-2*(y + 1)**2*(y + 10)/7
Let o(l) be the third derivative of -l**5/180 - 47*l**4/288 + l**3/6 + 10*l**2 - 93*l. Factor o(j).
-(j + 12)*(4*j - 1)/12
Let i be 1*(3 - 4 - -36). Let c be 4/(-10)*i/21*-3. Find p, given that -1 - 12*p**2 + 7 + 18*p - 8 - 6 + c*p**3 = 0.
1, 4
Let s(z) = -z**2 - 5*z - 1. Let d be s(-4). Suppose -2555*j - 16 = -2557*j. Find n, given that 4/3 + 2*n - j*n**2 + 14/3*n**d = 0.
-2/7, 1
Factor 0 - 34/9*o**3 - 32/9*o**4 + 2/9*o**5 + 0*o**2 + 0*o.
2*o**3*(o - 17)*(o + 1)/9
Solve -110450 - 1/2*t**2 + 470*t = 0.
470
Suppose -2*q = -3*j + 30, -10*q - 4*j = -8*q - 40. Factor q + 3/4*y**3 + 3/4*y**5 - 3/2*y**4 + 0*y**2 + 0*y.
3*y**3*(y - 1)**2/4
Let s(w) be the first derivative of w**3/3 - 2*w**2/3 + w/3 + 1519. Factor s(a).
(a - 1)*(3*a - 1)/3
Suppose -b = -2*m + 10, -2*b - 225 + 229 = -m. Factor -b - 10*n + 3/2*n**3 - 1/2*n**2.
(n - 3)*(n + 2)*(3*n + 2)/2
Let k be 3/(-445)*(-8)/(8/5). Let o = k - -169/267. Solve -2/9*p**2 + 2/9 - 2/3*p + o*p**3 = 0 for p.
-1, 1/3, 1
Suppose -b + 32 = 4*b + 2*x, -31 = -5*b - x. Let h be (-12 - -9)*(-2)/b. Solve h - 3*l**2 - 1 + 3*l**4 - 3*l**3 - 3*l**2 = 0 for l.
-1, 0, 2
Let t(k) be the third derivative of k**5/12 + 2515*k**4/24 - 2525*k**3/3 + 902*k**2 - 2*k. Factor t(a).
5*(a - 2)*(a + 505)
Let h = -381 - -386. Solve 5110*l**5 - 260*l - 5975*l**3 + 1000*l**4 - 198*l**h - 3764*l**2 + 3213*l**5 + 834*l**2 + 40 = 0.
-2/5, 1/13, 1
Let t(l) be the first derivative of -3 - 2/51*l**3 - 6/17*l**2 + 0*l. Factor t(m).
-2*m*(m + 6)/17
Let u(f) be the third derivative of f**5/40 + 911*f**4/16 + 455*f**3/2 + 2*f**2 + 3556*f + 2. Factor u(y).
3*(y + 1)*(y + 910)/2
Let w(g) be the second derivative of 0 + 2/21*g**7 + 0*g**2 + 294*g**3 + 526/5*g**5 + 88/15*g**6 + 106*g + 308*g**4. Factor w(r).
4*r*(r + 1)**2*(r + 21)**2
Let x(p) be the third derivative of -p**7/14 - 49*p**6/20 - 9*p**5/4 + 28*p**4 - 38*p**3 + 57*p**2 - 5. Determine i, given that x(i) = 0.
-19, -2, 2/5, 1
Let r(l) be the first derivative of -30*l + 36 - 1/4*l**4 - 3/20*l**5 - 1/30*l**6 - 1/6*l**3 + 0*l**2. Let t(i) be the first derivative of r(i). Factor t(z).
-z*(z + 1)**3
Let n(u) = 44*u - 217. Let p be n(5). Find q, given that 3*q**2 - q**p - 2*q**2 + q**2 - 4 + q + 2*q**2 = 0.
-1, 1, 4
Let i = -320 - -323. Suppose 2*x + 3*s + 9 = 0, -i*x + 3*s + 3 = -7*x. Suppose -2/3*t**5 +