*2 - 6*n**3 + 5*n**4 - 10*n - 16*n**3 = 0.
0, 1, 2
Suppose 100 = -36*n + 31*n. Let q be (-1 - 3)/((-5)/n*-14). Let -8/7*w**4 + q*w**5 - 30/7*w**3 + 0 - 8/7*w + 32/7*w**2 = 0. Calculate w.
-2, 0, 1/2, 2
Let v(a) be the third derivative of 0*a + 1/1680*a**8 + 1/100*a**5 + 0 - 1/350*a**7 + 1/600*a**6 + 44*a**2 - 1/60*a**4 + 0*a**3. Factor v(r).
r*(r - 2)*(r - 1)**2*(r + 1)/5
Let q be (-3)/10 + 4 + 121/(-33). Let v(s) be the second derivative of s + 0 + 0*s**2 - q*s**4 - 1/15*s**3. Solve v(g) = 0 for g.
-1, 0
Let k(j) be the second derivative of j**5/20 + j**4/4 - 5*j**3/2 - 23*j**2/2 + 2*j - 26. Let t be k(-5). Let 2/3 + 8/3*l**t + 8/3*l = 0. Calculate l.
-1/2
Let m(n) = 5*n**3 + 5*n**2. Suppose r - 2*r - 4 = 0. Let x(y) = 5*y**3 + 6*y**2 + y. Let k(l) = r*m(l) + 5*x(l). Suppose k(j) = 0. What is j?
-1, 0
Let k(b) be the first derivative of b**6/18 - 19*b**5/15 + 20*b**4/3 + 100*b**3/9 + 18. Find y, given that k(y) = 0.
-1, 0, 10
Factor 464*k - 405 - 320*k**2 + 200*k + 56*k.
-5*(8*k - 9)**2
Let s = -25 + 27. Factor x**s - 4*x**3 + 4*x**2 - 16 + 7*x**2.
-4*(x - 2)**2*(x + 1)
Let -5*j**5 - 320*j + 60*j**3 + 1439*j**2 + 4 + 20*j**4 - 834*j**2 - 4 - 765*j**2 = 0. What is j?
-2, 0, 4
Let x(c) be the third derivative of c**6/24 + 17*c**5/12 + 105*c**4/8 - 135*c**3/2 - 28*c**2. Factor x(b).
5*(b - 1)*(b + 9)**2
Let k(p) = -34*p**3 + 2*p**2 + p. Let z be k(-1). Let o = z + -32. Let 1/5*w**4 + 0 - 1/5*w**2 + 2/5*w - 2/5*w**o = 0. Calculate w.
-1, 0, 1, 2
Let j(p) be the first derivative of 1/7*p**2 + 0*p - 2/35*p**5 + 3/14*p**4 - 18 - 2/7*p**3. Factor j(t).
-2*t*(t - 1)**3/7
Let p(b) be the first derivative of -1/30*b**4 + 15 + 1/3*b**2 - 2/45*b**3 - 2/5*b. Let p(n) = 0. Calculate n.
-3, 1
Suppose -m - 5*j - 3 = 0, -2*j + 4 = -3*m + 6*m. Let l(r) be the first derivative of -9/2*r**m - 5 - 3/4*r**4 + 3*r**3 + 3*r. Factor l(x).
-3*(x - 1)**3
Let f = 315 - 310. Let w(r) be the first derivative of 1/6*r**4 + 0*r**3 - 1/9*r**6 + 0*r**f + 0*r - 6 + 0*r**2. Determine q so that w(q) = 0.
-1, 0, 1
Let u(v) be the second derivative of 4*v**3 - 4*v + 0 - 36*v**2 - 1/6*v**4. Factor u(x).
-2*(x - 6)**2
Let l(q) be the first derivative of 5*q**6/6 + 27*q**5/5 + 25*q**4/2 + 12*q**3 + 4*q**2 - 53. Determine h so that l(h) = 0.
-2, -1, -2/5, 0
Let q be 4 + (1 - 2)/1. Find l, given that 8*l**q - l**5 + 4*l**2 + 21*l**4 + 10*l**5 - l**2 + 7*l**3 = 0.
-1, -1/3, 0
Let u = -495 - -495. Let d(x) be the third derivative of 1/30*x**5 + u*x + 2*x**2 + 0 + 0*x**3 - 1/12*x**4. Factor d(q).
2*q*(q - 1)
Factor 6 - 20*t + 226 - 4*t**2 + 32.
-4*(t - 6)*(t + 11)
Let z be 2/((-5)/((-125)/10)). Solve -180*m**2 + 5*m - 16*m - 166*m**4 - 81*m**z - 390*m**3 - 13*m - 149*m**4 = 0.
-2, -1, -2/3, -2/9, 0
Let a(n) be the third derivative of -n**7/315 - n**6/18 + 11*n**5/90 + n**2 - 43*n. Find h such that a(h) = 0.
-11, 0, 1
Solve 27 - 14 - 65*p**2 - 200*p - 9 - 5 - 14 = 0.
-3, -1/13
Factor 4/5*v**2 + 8*v - 96/5.
4*(v - 2)*(v + 12)/5
Let n(g) be the second derivative of -g**7/7560 - g**6/270 - 2*g**5/45 - g**4/12 + 3*g. Let j(a) be the third derivative of n(a). Let j(o) = 0. Calculate o.
-4
Let w = -635 + 635. Let k(b) be the second derivative of 0 - 1/4*b**3 + 0*b**4 + 3/40*b**5 + w*b**2 + 2*b. What is o in k(o) = 0?
-1, 0, 1
Find r such that -412*r**3 + 1812*r**2 + 365 - 121*r**4 + 141*r**4 + 603 + 3212*r = 0.
-1, -2/5, 11
Let h(m) be the second derivative of m**8/11200 + m**7/1400 + m**6/600 - 3*m**4/4 + 6*m. Let j(k) be the third derivative of h(k). Factor j(z).
3*z*(z + 1)*(z + 2)/5
Let g(s) be the first derivative of -s**4/6 - 2*s**3 - 9*s**2 - 18*s - 28. Let g(c) = 0. Calculate c.
-3
Suppose -s - 4*p + 33 = -32, -3 = p. Let g = -77 + s. Factor g + o**3 + 1/5*o + 6/5*o**2.
o*(o + 1)*(5*o + 1)/5
Let m(h) be the third derivative of 0 + 1/6*h**3 + 42*h**2 - 9/80*h**5 + 0*h - 1/24*h**4 - 13/240*h**6 - 1/120*h**7. Find v such that m(v) = 0.
-2, -1, 2/7
Let d = 7590/7 - 1229. Let j = d - -145. Factor -2/7*z**2 + 4/7 + j*z.
-2*(z - 2)*(z + 1)/7
Let j = 68/45 + -10/9. Let r(u) be the second derivative of -1/15*u**3 + j*u**2 - 1/30*u**4 + 0 + 5*u. Factor r(k).
-2*(k - 1)*(k + 2)/5
Let g(s) be the first derivative of 2*s**3/33 - 14*s**2/11 + 96*s/11 + 561. What is j in g(j) = 0?
6, 8
Let z be (7 - 39/9)*(-2)/(-16). Find q such that -1/3*q + 0 + z*q**3 + 1/3*q**2 - 1/3*q**4 = 0.
-1, 0, 1
Suppose 3*m - 6*m - 13 = -2*z, 0 = -5*z + 2*m + 27. Solve 0*u**4 - 19*u**5 + 10*u**3 + 2*u**4 + 6*u**2 + 0*u**4 + 17*u**z = 0 for u.
-1, 0, 3
Suppose 0 = d + 4*d - 5. Let n be d*9/(36/8)*2. Factor -3/2*f**2 - 1/2*f - 3/2*f**3 + 0 - 1/2*f**n.
-f*(f + 1)**3/2
Let m(c) be the first derivative of -c**5/10 + 5*c**4/4 - 11*c**3/2 + 10*c**2 - 8*c + 201. Factor m(g).
-(g - 4)**2*(g - 1)**2/2
Let s(l) be the third derivative of -l**6/1380 + 37*l**5/690 - l**2 + 10. Determine c, given that s(c) = 0.
0, 37
Factor -25/2*w**2 + 0 + 625/4*w + 1/4*w**3.
w*(w - 25)**2/4
Let a = 55 - 31. Factor 104*y - 12*y**3 + a + 42*y**3 - 5*y**2 + 127*y**2.
2*(y + 3)*(3*y + 2)*(5*y + 2)
Suppose -4*u + 18*u = -u - 12*u. Let -1/3*b**2 - 1/3*b + u = 0. What is b?
-1, 0
Let q(i) = 8*i**3 + 252*i**2 + 250*i + 18. Let t(y) = 22*y**3 + 756*y**2 + 751*y + 51. Let p(c) = 17*q(c) - 6*t(c). Find k, given that p(k) = 0.
-1, 0, 64
Let m(i) be the second derivative of i**7/15120 - i**5/720 + 7*i**4/12 + 6*i. Let c(t) be the third derivative of m(t). What is x in c(x) = 0?
-1, 1
Find v, given that 228 + 146*v + 67*v - v**2 + 3*v**2 + 17*v = 0.
-114, -1
Let x(i) = 0*i + 2 + 0 + i + 75*i**2. Let w be x(-1). Let w - 3*d**3 + 6*d**2 - 3*d - 76 = 0. What is d?
0, 1
Let y(t) be the second derivative of 22*t - 1/15*t**4 + 2/15*t**3 - 1/5*t**5 + 0*t**2 + 0 - 2/25*t**6. Determine u, given that y(u) = 0.
-1, 0, 1/3
Let l be (-146)/(-584)*(1 - (-250)/22). Find d, given that -l*d + 12/11 + 10/11*d**2 = 0.
2/5, 3
Suppose -15 = -7*d + 111. What is h in -3*h**3 - 3*h**4 - 20*h - d*h + 38*h = 0?
-1, 0
Let x = 94 + -62. Suppose -2*c - x*c**3 + 35*c**3 + 5*c + 6*c**2 = 0. What is c?
-1, 0
Suppose 4*s - 115 = -19. Let v be (s/(-15))/(2/(-5)). Factor -34*d + d**3 + 0 + 33*d + d**2 + 0 - d**v.
-d*(d - 1)**2*(d + 1)
Let x(p) = -4*p**2 + 8*p + 2. Suppose 11*a + 3 = 8*a. Let q(z) = -1. Let o(f) = a*x(f) - 6*q(f). Factor o(d).
4*(d - 1)**2
Let x(j) = -2*j**3 + 9*j**2 - 5*j + 6. Let b be x(4). Let p(m) be the first derivative of -6 - 2/9*m**3 + 0*m + 1/3*m**b. Factor p(k).
-2*k*(k - 1)/3
Let g(o) = -2*o**2 + o + 1. Let z(c) = 7*c**2 - 8*c + 13. Let w(r) = -5*g(r) - z(r). Factor w(k).
3*(k - 2)*(k + 3)
Let n be 2/(-10) - 128/(-40). Let -6*v**3 - v**4 - v**5 + 3*v**5 + n*v**4 + 3*v**2 - 5*v**2 + 4*v = 0. What is v?
-2, -1, 0, 1
Find l, given that l**3 + 40*l**2 + 24*l**4 - 12*l - 49*l**3 + 406*l**5 - 410*l**5 = 0.
0, 1, 3
Let t be ((-12)/44 + (-852)/(-1188))/(4/12). Suppose -8/3*n**3 + t*n**2 - 2/3*n**5 - 8/3*n**4 + 4/3 + 10/3*n = 0. Calculate n.
-2, -1, 1
Let t = 94 + -88. Let o be (-3)/t*1/(-2). Factor -1/4 + o*v**3 + 3/4*v - 3/4*v**2.
(v - 1)**3/4
Let o(k) be the third derivative of -k**6/1080 + k**5/72 - k**4/18 - 2*k**3/3 - 7*k**2. Let v(f) be the first derivative of o(f). Suppose v(n) = 0. What is n?
1, 4
Let g be 4513/(-45) + 4/(-36). Let o = -100 - g. What is b in o*b**3 + 0 + 4/5*b**2 + 2/5*b = 0?
-1, 0
Determine d, given that -552*d**4 - 6003*d - 3182*d**3 - 232 + 7635*d - 1970*d**2 + 32*d**5 - 264*d**4 = 0.
-2, 1/4, 29
Suppose -26*s**3 - 14/5*s**5 + 0 - 116/5*s**4 + 0*s - 28/5*s**2 = 0. Calculate s.
-7, -1, -2/7, 0
Suppose -3*h = -x + 15, -1 - 6 = 3*x + 4*h. Factor 3/2*m**3 - 9/2*m**2 + 0 + x*m.
3*m*(m - 2)*(m - 1)/2
Let f(i) be the second derivative of -21*i + 1/90*i**4 + 0 + 0*i**2 + 2/15*i**3. Find r, given that f(r) = 0.
-6, 0
Let b(a) be the second derivative of 1/6*a**4 + 22/3*a**3 - 26*a + 0 + 121*a**2. What is m in b(m) = 0?
-11
Suppose 0 = 20*o + 7 - 87. Let y(q) = -q**2 - 5*q + 3. Let z be y(-5). Factor 0 + 0*m**2 - 4/3*m**5 + 0*m + 1/3*m**z - m**o.
-m**3*(m + 1)*(4*m - 1)/3
Let i(h) = h**3 + 2*h. Let t(q) = -2*q**3 - 10*q**2 + 26*q - 32. Let p(g) = -3*i(g) - t(g). Solve p(m) = 0.
2, 4
Let z(u) = -12*u + 33*u**2 - 23*u**2 + 4*u - 17*u**4 - u**3. Let a(d) = 6*d**4 - 3*d**2 + 3*d. Let j(p) = -8*a(p) - 3*z(p). Solve j(f) = 0.
-2, 0, 1
Let n be (-3)/2*((-48)/18)/1. Let