 + w**5 + w**4 + 2*w**2 - a*w**2 = 0. What is w?
-2, 0, 1
Let i(h) be the first derivative of -h**7/420 + h**5/120 + 3*h**2/2 + 16*h - 4. Let b(w) be the second derivative of i(w). Suppose b(l) = 0. What is l?
-1, 0, 1
Let i(g) be the second derivative of -3*g**5/20 - 11*g**4/4 - 19*g**3 - 60*g**2 - 39*g - 6. Find v, given that i(v) = 0.
-5, -4, -2
Suppose 59*o - 47 = 289*o - 421 - 86. Factor -23064/7*a - 2/7*a**3 + 476656/7 + 372/7*a**o.
-2*(a - 62)**3/7
Let z(o) = o**4 - o**3 - o**2 + 4*o. Let l(d) = 3*d**4 + 4*d**3 + 28*d**2 + 34*d. Let x(h) = -l(h) + 5*z(h). Factor x(m).
m*(m - 7)*(m + 2)*(2*m + 1)
Determine g so that 2/11*g**4 + 52/11 + 162/11*g**2 + 158/11*g + 58/11*g**3 = 0.
-26, -1
Let s(l) be the first derivative of -3*l**5/5 + 33*l**4/4 + 18*l**3 - 108*l**2 + 1635. Suppose s(v) = 0. What is v?
-3, 0, 2, 12
Suppose 47/2*n**2 + 35/2*n + 13/2*n**3 + 0 + 1/2*n**4 = 0. Calculate n.
-7, -5, -1, 0
Solve 96*h**2 - 48 + 2*h**5 + h**5 - 2*h**4 - 6*h**3 - 3*h**4 + 3*h - h**4 - 42*h**4 = 0.
-1, 1, 16
Let d(u) be the second derivative of 0 + 1/36*u**5 + 1/216*u**6 + 18*u + 5/72*u**4 + 0*u**2 + 5/2*u**3. Let r(s) be the second derivative of d(s). Factor r(a).
5*(a + 1)**2/3
Let f(c) = 8*c**4 + 710 + c**4 - 713 - 8*c**3. Suppose 42 = 5*p - 8. Let i(t) = 26*t**4 - 24*t**3 - 10. Let a(d) = p*f(d) - 3*i(d). Factor a(v).
4*v**3*(3*v - 2)
Find a, given that -1/10*a**3 + 0*a + 0 + 306/5*a**2 = 0.
0, 612
Determine w so that -4/5*w**3 + 2082/5*w**2 + 0 - 208*w = 0.
0, 1/2, 520
Let v(u) be the first derivative of -u**4/14 - 18*u**3/7 - 216*u**2/7 - 864*u/7 + 814. What is z in v(z) = 0?
-12, -3
Let i = 58/21 + 4/7. Factor i - 1/3*x**2 + x.
-(x - 5)*(x + 2)/3
Let c = -375 - -378. Factor -2*m**2 + 6*m**2 + 111*m - 106*m - m**c.
-m*(m - 5)*(m + 1)
Let q(d) be the first derivative of -1/3*d**4 + 48*d**2 + 36 + 704/3*d + 4/3*d**3. Factor q(h).
-4*(h - 11)*(h + 4)**2/3
Suppose 8*p - 7 = 46 - 29. Let t(q) be the first derivative of 7 + 1/9*q**p + 0*q - 1/3*q**2. Factor t(j).
j*(j - 2)/3
Let s(f) be the first derivative of -f**3/15 + 47*f**2/10 - 18*f - 623. Suppose s(x) = 0. Calculate x.
2, 45
Let x(f) be the first derivative of f**4 - 2500*f**3/3 - 3764*f**2 - 5024*f - 7323. Solve x(z) = 0.
-2, -1, 628
Let d(a) be the third derivative of 0*a - 1/6*a**5 + 1/90*a**7 + 5/18*a**4 + 0 - 1/72*a**6 + 4/9*a**3 - 73*a**2. Determine x, given that d(x) = 0.
-2, -2/7, 1, 2
Suppose w = -w - 3*j + 21, 12 = 3*w - 2*j. Let 6*r**4 + 29*r - r**5 - w + 16*r - 34*r - 10*r**3 = 0. Calculate r.
-1, 1, 2, 3
Factor 199*m + 1/2*m**2 + 396.
(m + 2)*(m + 396)/2
Suppose -3/5*k**3 - 108 + 0*k**2 + 183/5*k = 0. What is k?
-9, 4, 5
Factor -245 + 39*p**2 - 115*p + 245 + 55*p + 54*p.
3*p*(13*p - 2)
Let a(w) = w**2 + 5*w - 51. Let z be a(6). Factor -8*k - 17*k**3 + z*k**2 + 3*k**4 + 24*k**2 - 17*k**2.
k*(k - 4)*(k - 1)*(3*k - 2)
Let n(l) be the first derivative of -2*l**5/65 - 5*l**4/13 - 46*l**3/39 - 14*l**2/13 + 2042. Suppose n(j) = 0. What is j?
-7, -2, -1, 0
Suppose 61 = 10*w + 131. Let u(y) = -11*y**2 - 7*y - 11. Let h(n) = 16*n**2 + 11*n + 16. Let m(o) = w*u(o) - 5*h(o). Factor m(c).
-3*(c + 1)**2
Let t(h) be the third derivative of 32*h**6/3 - 1072*h**5/15 - 1209*h**4/2 - 1512*h**3 + 222*h**2 - 5. Factor t(s).
4*(5*s - 28)*(8*s + 9)**2
Let w(s) be the first derivative of -10*s**4 + 0*s**3 - 5/6*s**6 + 0*s**2 + 0*s - 115 - 6*s**5. Determine f so that w(f) = 0.
-4, -2, 0
Let q be (-23 - -22)/(1/1385). Let l = q - -1389. Factor -12/7*g**3 - 3/7*g**l - 18/7*g**2 - 3/7 - 12/7*g.
-3*(g + 1)**4/7
Let v(r) be the second derivative of -605/252*r**7 + 0 - 3/2*r**2 + 649/90*r**6 - 13/9*r**4 - 347/60*r**5 + 41/12*r**3 - 133*r. Find t, given that v(t) = 0.
-2/5, 3/11, 1
Suppose -50*k**2 + 2308*k**5 - 2306*k**5 + 70*k**3 + 4*k**4 - 26*k**4 = 0. What is k?
0, 1, 5
Let x(c) be the third derivative of -22*c**7/21 + 367*c**6/120 - 17*c**5/15 - 85*c**4/24 + c**3 + 11*c**2. Find d such that x(d) = 0.
-2/5, 3/44, 1
Let y(m) = -2*m**2 + 29*m - 73. Let v be y(11). Suppose 404*w**3 - 158*w**v - 556*w**2 + 300*w**4 - 178*w**4 - 44*w**5 + 264*w - 32 = 0. Calculate w.
-4, 2/11, 1
Let s(f) be the second derivative of 0*f**2 - 1/270*f**6 + 0*f**3 + 0 + 0*f**4 + 54*f - 1/60*f**5. Determine o so that s(o) = 0.
-3, 0
Let f(n) be the third derivative of 270*n**2 + 0*n - 1/90*n**5 + 0 - 77/18*n**4 - 5929/9*n**3. Let f(y) = 0. Calculate y.
-77
Let b = 543 + 66. Suppose g + 3*g + 3*m - 639 = 0, -4*g = -3*m - b. Let -20*f**3 - 3*f**4 - 418*f**2 - 1 - 35 - 20*f**3 - g*f + 261*f**2 = 0. Calculate f.
-6, -1, -1/3
Let u = -4/5265 + 3163/5265. Determine g so that -1/5*g**2 + 4/5*g - u = 0.
1, 3
Factor -4*g**3 + 97*g**2 - 88*g**2 - 232*g - 5*g**3 + 5*g**3 - 245*g**2.
-4*g*(g + 1)*(g + 58)
Let g(p) = 10*p + 29. Let r be g(-3). Let u be 420/(-84) + -31*r/6. Factor 5/6 + u*f**4 - 4/3*f**3 + 3*f**2 - 8/3*f.
(f - 5)*(f - 1)**3/6
Let s(c) be the second derivative of 40*c**4 + 240*c**3 - 51 + 0*c**2 + 2*c + 1/6*c**6 - 11/2*c**5. Find z, given that s(z) = 0.
-2, 0, 12
Let q be (0 + (-180)/(-8))/(-6)*120/(-90). Let l(v) be the first derivative of -v**3 + 3/5*v**q - 13 + 0*v + 1/4*v**4 + 1/6*v**6 - v**2. Solve l(x) = 0 for x.
-2, -1, 0, 1
Find d, given that 35*d - 211/6*d**2 + 1/6*d**3 + 0 = 0.
0, 1, 210
Factor 85*k**4 + 155*k**2 + 215*k**4 + 1576*k**3 - 4*k**5 - 2560 + 743*k**2 + 1038*k**2 - 1248*k.
-4*(k - 80)*(k - 1)*(k + 2)**3
Let b(v) = -6*v**3 + 105*v**2 + 317*v + 211. Let p(w) = -9*w**3 + 156*w**2 + 475*w + 317. Let c(k) = -7*b(k) + 5*p(k). Suppose c(t) = 0. Calculate t.
-2, -1, 18
Solve -236 - 2/9*v**2 + 2126/9*v = 0 for v.
1, 1062
Let a be -981 + 989 + -1*17 - (-342)/34. Factor 32/17*r**2 - a*r**3 - 10/17*r - 4/17.
-2*(r - 1)**2*(9*r + 2)/17
Let w = -1087 + 684. Let s = -2405/6 - w. Factor -1/3 - s*h - 11/6*h**2.
-(h + 1)*(11*h + 2)/6
Suppose 2*t + 2359 - 2334 = 3*n, -5*t - 43 = -n. Factor 1 - 1/3*x**n + 1/3*x**2 + 5/3*x.
-(x - 3)*(x + 1)**2/3
Let n = -799 + 1459. Suppose -n*b**2 - 18*b**3 - 1690 - 647*b - 8*b**3 - 3693*b + b**3 - 145*b = 0. Calculate b.
-13, -2/5
Let l be -1*14 + (-299)/((-27209)/1274). Determine h so that 1/3*h + 10*h**3 + 7/2*h**2 + 25/6*h**4 + l = 0.
-2, -1/5, 0
Let x be (-4)/6 - ((-35)/3 + 9). Factor 490*d**x + 2345*d**3 + 100*d**4 + 45*d**5 - 149*d**4 + 689*d**4.
5*d**2*(d + 7)**2*(9*d + 2)
Let f(s) be the third derivative of -s**7/210 - s**6/4 - 15*s**5/4 + 4985*s**2. Factor f(k).
-k**2*(k + 15)**2
Let v(k) = -k**2 + 154*k + 69149. Let g be v(351). Find a, given that 4/7*a**3 - 12*a**g - 92/7 - 180/7*a = 0.
-1, 23
Solve 273*u + 0 - 3/2*u**2 = 0 for u.
0, 182
Let q(r) = -3*r**4 - 18*r**3 - 27*r**2 + 12*r + 15. Let k(o) = -5*o**4 - 19*o**3 - 29*o**2 + 11*o + 14. Let y(z) = -3*k(z) + 4*q(z). Factor y(j).
3*(j - 6)*(j - 1)*(j + 1)**2
Solve 2008/9*h + 504008/9 + 2/9*h**2 = 0 for h.
-502
Let v(t) = 13*t - 1. Let n be v(1). Factor -18*j**2 - n*j - 39 + 54 - 12*j**3 - 3*j**4 - 18.
-3*(j + 1)**4
Let f(v) be the first derivative of -14*v + 2*v**2 + 4/3*v**3 + 5/12*v**4 + 1/20*v**5 + 27. Let b(p) be the first derivative of f(p). Factor b(c).
(c + 1)*(c + 2)**2
Suppose -13319*j - 5*n = -13321*j + 54, -j + 12 = -n. Solve -1/6*f**5 + 16/3 - 11/3*f**j - 5/3*f**4 + 16/3*f - 31/6*f**3 = 0 for f.
-4, -2, -1, 1
Let y = 184/2745 + 57277/5490. Let -15/4*k - y + 3/4*k**2 = 0. Calculate k.
-2, 7
Let m(t) be the second derivative of t**7/147 - 8*t**6/105 - 3*t**5/7 + 16*t**4/3 + 35*t**3/3 - 2408*t. Solve m(w) = 0 for w.
-5, -1, 0, 7
Let x be (-66 - -1) + 50 + -52. Let p be 106/38 - (x + 66). Solve -2/19*t**2 - p - 24/19*t = 0.
-6
Factor 536*i + 0 - 267*i**2 - 1/2*i**3.
-i*(i - 2)*(i + 536)/2
Let l = 1 - -6. Suppose 15 = l*d - 6. Determine g, given that -3*g + 8*g - 15*g**2 + 4*g + d*g**4 + 4*g**3 - g**3 = 0.
-3, 0, 1
Let u = 580306 + -580302. Factor 1/4 + 1/4*k**u + k + k**3 + 3/2*k**2.
(k + 1)**4/4
Let z(u) be the first derivative of -11*u**3/18 + 67*u**2/6 - 4*u - 568. Factor z(p).
-(p - 12)*(11*p - 2)/6
Factor 162*h**2 - 574*h**2 - 42*h - 794*h - 169 + 4*h**3 + 0*h**3 - 251.
4*(h - 105)*(h + 1)**2
Let i(m) = 11*m**2 + 11*m - 9. Let r(d) = 5*d**2 + 5*d - 4. Suppose 0 = 4*k - 4*v + 36, -9 = 3*k - 2*v + 13. Let t(o) = k*i(o) + 9*r(o). Factor t(x).
x*(x + 1)
Let g(v) be the third derivative of v**5/270 + 25*v**4/108 - 238*v**3/9 