2 + 39366/5 + 2/5*n**4 - g*n - 164/5*n**3 = 0. What is n?
1, 27
Let o(d) be the second derivative of -d**4/3 + 44*d**3/3 - 144*d**2 - 100*d - 4. Determine i, given that o(i) = 0.
4, 18
Let f(z) = -z**3 + 120*z**2 - 551*z + 428. Let x(b) = b**3 - 126*b**2 + 554*b - 426. Let q(h) = 3*f(h) + 4*x(h). Let q(u) = 0. What is u?
1, 3, 140
Let c(w) = -5*w**3 - 526*w**2 + 491*w - 24. Let v(y) = -2*y**3 - 175*y**2 + 162*y - 9. Let l(i) = 3*c(i) - 8*v(i). Find b such that l(b) = 0.
0, 1, 177
Suppose 0 = 2*v - 0*v - 8, 5*k = 2*v + 82. Let j be 2/(-6)*(k - 18). Determine c, given that -2/5 + 6/5*c - 8/5*c**3 + j*c**2 = 0.
-1, 1/2
Let n = -3078 - -3078. Let j(a) be the third derivative of 0*a**3 + 0*a + n + 1/150*a**5 - 1/30*a**4 + 9*a**2. Solve j(p) = 0.
0, 2
Let o(s) be the second derivative of -5*s**8/336 + s**6/12 - 5*s**4/24 - 42*s**2 + 4*s + 3. Let r(j) be the first derivative of o(j). Solve r(l) = 0.
-1, 0, 1
Factor 52*t**3 - 4*t - 3*t + 80*t**2 - 41*t.
4*t*(t + 2)*(13*t - 6)
Let w(s) be the second derivative of -s**4/60 - 302*s**3/5 - 410418*s**2/5 + 7452*s. Factor w(v).
-(v + 906)**2/5
Let c(a) = -a**4 + 18*a**3 - 66*a**2 + 151*a - 36. Let j(f) = -f**4 + 18*f**3 - 64*f**2 + 170*f - 35. Let s(m) = 4*c(m) - 3*j(m). Solve s(y) = 0 for y.
1, 3, 13
Suppose -3*g + 20*g + 221 = 0. Let d(p) = -11*p**2 - 24*p - 12. Let l(u) = 5*u**2 + 11*u + 6. Let n(y) = g*l(y) - 6*d(y). Factor n(x).
(x - 2)*(x + 3)
Let m(r) = 171*r**2 + 201*r - 42. Let w(o) = 17*o**2 + 20*o - 4. Suppose -2*c - 4*x = -43 - 19, c = 5*x - 4. Let v(z) = c*w(z) - 2*m(z). Factor v(g).
3*g*(5*g + 6)
Suppose -3*z + 2 = -f, 364*z + 2*f + 4 = 363*z. Let p(s) be the third derivative of -24*s**2 + 2/3*s**3 - 1/4*s**4 + z + 1/30*s**5 + 0*s. Factor p(j).
2*(j - 2)*(j - 1)
Let -13 + 51/2*p - 1/2*p**3 - 12*p**2 = 0. What is p?
-26, 1
Let v = -142 + 159. Factor -23*o**3 + v*o**3 - 8*o**2 + 18*o**3 - 4*o**4.
-4*o**2*(o - 2)*(o - 1)
What is r in -73947/5 + 942/5*r - 3/5*r**2 = 0?
157
Let v(o) be the second derivative of 0 - 12/7*o**3 + 3*o - 1/28*o**4 - 216/7*o**2. Factor v(z).
-3*(z + 12)**2/7
Let x(c) be the first derivative of -5*c**6/6 + 15*c**5 - 95*c**4/4 - 145*c**3 - 130*c**2 + 15. Solve x(u) = 0 for u.
-1, 0, 4, 13
Let d(h) = -h**4 - 5*h**3 + 82*h**2 + 68*h + 18. Let a(m) = 3*m**4 + 14*m**3 - 246*m**2 - 206*m - 51. Let f(y) = 6*a(y) + 17*d(y). Determine s so that f(s) = 0.
-8, -1, 0, 10
Let p(q) = -10*q**3 - 294*q**2 - 7518*q - 62494. Let x(i) = -9*i**3 - 295*i**2 - 7515*i - 62495. Let m(o) = 5*p(o) - 6*x(o). Factor m(z).
4*(z + 25)**3
Let 4*o + 82 + 74 - 4*o**3 - 49*o**2 + 12*o**2 - 147*o**2 + 28*o**2 = 0. Calculate o.
-39, -1, 1
Let s(x) = 2*x**2 - 14*x + 14. Let y be s(6). Factor -91 + 5 + 1337*i**y + 270*i - 1302*i**2 + 6.
5*(i + 8)*(7*i - 2)
Suppose -18/5 - 2/5*p**2 + 1/5*p**3 - 21/5*p = 0. Calculate p.
-3, -1, 6
Suppose -36*n = 103*n + 34*n - 346. Let r(y) be the first derivative of -1/6*y**n - 1/9*y**3 + 2*y + 17. Factor r(q).
-(q - 2)*(q + 3)/3
Factor -2/5*j**2 + 274/5*j + 276/5.
-2*(j - 138)*(j + 1)/5
Suppose 8*k - 424360 = 3*k. Factor -45449*b - k*b - 1421*b**3 - b**5 + 33438*b**2 - 6002*b**2 + 76*b**4 - 745*b**3.
-b*(b - 19)**4
Let r be 190/28 - 6 - (-2)/(-7). Let j be (-3*120/864)/(15/(-24)). Let r + 1/6*y**2 - j*y = 0. Calculate y.
1, 3
Suppose 4*m - 4*h + 8*h - 3436 = 0, -4*m - h + 3436 = 0. Let w = -7717/9 + m. Suppose -2/9*j**2 + 4/9*j + w*j**4 + 0 - 4/3*j**3 - 4/9*j**5 = 0. What is j?
-1/2, 0, 1, 2
Let x(a) be the third derivative of -a**8/168 + 2*a**7/35 + 8*a**6/5 - 157*a**5/15 + 107*a**4/4 - 36*a**3 + 442*a**2. Determine w, given that x(w) = 0.
-9, 1, 12
Let v(c) be the third derivative of -8 + 3*c**2 + 0*c**3 + 0*c + 1/42*c**7 + 0*c**4 - 1/4*c**5 - 1/12*c**6. Suppose v(w) = 0. What is w?
-1, 0, 3
Suppose 3*q - 21 = -4*p, p - 3*q - 6 = -4*p. Let -7*m**3 - 9*m**3 + 3*m**3 - 33*m**2 - 5*m**p - 3*m**4 - 18*m = 0. Calculate m.
-3, -2, -1, 0
Suppose -24*u + 45 = -291. Let a(h) = -h**2 + 15*h + 9. Let z(o) = -4*o**2 + 74*o + 42. Let d(f) = u*a(f) - 3*z(f). Factor d(y).
-2*y*(y + 6)
Let z be 405/2*34/51. Let j = z - 120. Find s, given that 33*s**2 - 11*s**2 - 20*s - 13*s**2 + j - 4*s**2 = 0.
1, 3
Let i(u) be the second derivative of 5*u**7/42 + u**6/3 - 4*u**5 - 40*u**4/3 + 23*u - 2. Factor i(t).
5*t**2*(t - 4)*(t + 2)*(t + 4)
Let u(o) = 8*o - 16. Let w be u(2). Let x = 12995 + -12993. Find t, given that 1/5*t**x + w - 9/5*t = 0.
0, 9
Factor 0 + 1/4*f**4 + 1/2*f**3 - 9*f**2 - 18*f.
f*(f - 6)*(f + 2)*(f + 6)/4
Let o(s) be the second derivative of -s**5/10 - 2*s**4 + 127*s**3/3 - 114*s**2 - 1576*s - 2. Factor o(x).
-2*(x - 6)*(x - 1)*(x + 19)
Let w = 554202 + -3879410/7. Solve 4/7*c**3 + 4/7*c**4 - 12/7*c**2 - w*c + 8/7 = 0 for c.
-2, -1, 1
Suppose -120435 + 120281 = -77*l. Suppose -11*r**l + 93/2*r**3 - 9/2*r**4 - 42*r + 20 = 0. Calculate r.
-1, 2/3, 10
Let x(c) be the second derivative of 5*c**7/14 + 9*c**6/5 + 21*c**5/20 - 13*c**4/2 - 6*c**3 + 12*c**2 + 1797*c + 2. Let x(i) = 0. What is i?
-2, -1, 2/5, 1
Suppose -155*h + 58*h = 0. Let n(g) be the second derivative of h*g**2 - 1/4*g**4 + 0 - 31*g - g**3. Find d such that n(d) = 0.
-2, 0
Let w(z) be the third derivative of -z**6/200 + 13*z**5/100 - 13*z**4/10 + 6*z**3 + 615*z**2. Determine n so that w(n) = 0.
2, 5, 6
Let g = -243 + 247. Solve 5*z**5 + 37338*z**2 - 171898*z**2 - 318*z**g + 121945*z - 122*z**4 + 13050*z**3 = 0.
0, 1, 29
Let c(k) = -45907*k + 137723. Let q be c(3). Factor -3/2*t**q + 15 + 9/2*t.
-3*(t - 5)*(t + 2)/2
Factor -92684366161984/9 - 38509088/3*h**2 - 168977878144/9*h - 4/9*h**4 - 35104/9*h**3.
-4*(h + 2194)**4/9
Suppose 5*x + 19*l - 17*l - 30 = 0, 2*x + l - 14 = 0. Solve -36/7*k + 323/7*k**x - 324/7 + 36/7*k**3 + 1/7*k**4 = 0.
-18, -1, 1
Let w(u) be the first derivative of -10*u**3 + 5/4*u**4 - 10*u - 56 - 35/2*u**2 + 2*u**5. Solve w(y) = 0.
-1, -1/2, 2
Determine z, given that 135/2 + 3/8*z**2 + 81/8*z = 0.
-15, -12
Let q(d) be the second derivative of -d**7/14 - 2*d**6 - 108*d**5/5 - 108*d**4 - 216*d**3 + 888*d. Suppose q(l) = 0. What is l?
-6, -2, 0
Suppose -2 = -2*m + m. Suppose 2*a - 3*g - 14 - 9 = 0, m*g - 10 = -5*a. Factor -3*r**5 - 20*r**4 - r**a + 159*r**3 - 159*r**3.
-3*r**4*(r + 7)
Let q(r) be the first derivative of 46*r**2 + 4/3*r**3 + 110 - 96*r. Factor q(z).
4*(z - 1)*(z + 24)
Suppose 0 = 3*i - 5*x - 41452 + 41325, 2*x = 4*i - 62. Find l, given that -9*l**3 - 29/3*l**2 + 28/3 + 9*l + 1/3*l**i = 0.
-1, 1, 28
Suppose -28 + 18 = 3*l + 5*w, -5*w - 5 = 4*l. Let s be l + ((-568)/80)/((-3)/(-2)). Solve 2/15*x**2 + 2/15 + s*x = 0 for x.
-1
Let f(n) be the first derivative of n**4/22 + 680*n**3/33 + 28557*n**2/11 - 116964*n/11 - 13748. Suppose f(r) = 0. Calculate r.
-171, 2
Let m(z) = -6*z + 146. Suppose 5 - 1 = -2*y, -3*y - 102 = -4*g. Let u be m(g). Determine p, given that -1/2*p + 0 - 1/2*p**u = 0.
-1, 0
Let j be (15/(-10))/((-9)/18). Factor -5*i**j - 5*i**4 + 63*i**2 + 32*i**3 + 5*i**3 + 10*i - 16.
-(i - 8)*(i + 1)**2*(5*i - 2)
Let s(y) be the first derivative of -y**6/2 - 33*y**5/5 + 45*y**4/2 + 50*y**3 - 87*y**2/2 - 117*y + 4783. Determine k so that s(k) = 0.
-13, -1, 1, 3
What is v in 4/3*v**4 - 2*v + 11/6*v**3 + 0 - 4/3*v**2 + 1/6*v**5 = 0?
-6, -2, -1, 0, 1
Let m(u) be the first derivative of -4/15*u**5 + 0*u + 4/9*u**3 + 41 + 1/6*u**2 - 1/12*u**4. Factor m(y).
-y*(y - 1)*(y + 1)*(4*y + 1)/3
Let g(y) be the first derivative of y**5/30 + 11*y**4/12 + 88*y**3/9 + 301*y**2/6 + 245*y/2 - 886. Factor g(f).
(f + 3)*(f + 5)*(f + 7)**2/6
Let l(x) be the third derivative of x**6/780 - 2*x**5/15 + 38*x**2 + 15*x. Factor l(m).
2*m**2*(m - 52)/13
Solve 63/2*u**2 + 0 - 99*u + 1/2*u**3 = 0.
-66, 0, 3
Let o be -1 + (-6)/(-8) + 15903/2356. Factor 1/2*l**2 + 7*l + o.
(l + 1)*(l + 13)/2
Suppose 0 = -b + 5 - 3. Let s be (2*(-9)/(-3))/b. Factor -7*x + 2*x**4 + 3*x**4 + 17*x - 5 - 185*x**3 + 175*x**s.
5*(x - 1)**3*(x + 1)
Suppose 11*a - 25 = 8. Find l such that -a + 3*l**2 + 2 - 37*l + 4*l + 19 + 12 = 0.
1, 10
Let u(t) = 1727*t - 3454. Let l be u(2). Factor -26/9*a + 2/9*a**2 + l.
2*a*(a - 13)/9
Let g(v) be the first derivative of v**9/7560 - 19*v**8/2100 + 361*v**7/2100 + 61*v**3/3 - 28. Let a(j) be the third derivative of g(j). Factor a(z).
2*z**3*(z - 19)**2/5
Determine v, given that 2*v**3 + 8 + 4 + 22*v**2 + 5 + 