**3/3 + 3*i**2 + 185*i - 1. Find n, given that p(n) = 0.
-295, 3
Find d, given that -128/5*d**2 + 2/5*d**4 + 24/5*d**3 + 0 + 0*d = 0.
-16, 0, 4
Let m(w) be the first derivative of w**3/3 - 19*w**2/2 + 60*w - 754. Factor m(j).
(j - 15)*(j - 4)
Let s(n) be the second derivative of -3*n**5/80 - 617*n**4/16 - 94863*n**3/8 + 286443*n**2/8 - 2625*n. Factor s(u).
-3*(u - 1)*(u + 309)**2/4
Factor 714*h + 3/5*h**2 + 3567/5.
3*(h + 1)*(h + 1189)/5
Let r be (-2457)/(-3510) - (-26)/20. Factor -4/5*d**r - 56/5 + 12*d.
-4*(d - 14)*(d - 1)/5
Let 2250*i**2 + 0 + 95/2*i**4 + 575*i**3 + 5/4*i**5 + 0*i = 0. Calculate i.
-18, -10, 0
Let u(z) be the third derivative of -1/56*z**7 - 3/32*z**6 + 0 + 0*z + 192*z**2 + 0*z**3 + 0*z**5 + 1/8*z**4 + 3/224*z**8. Let u(w) = 0. Calculate w.
-1, -2/3, 0, 1/2, 2
Let x(m) = -m**3 - 35*m**2 - 33*m + 34. Let t be x(-34). Suppose -2*l + 0*l + 4 = 0. Determine f, given that 2*f**3 + t*f**3 + 7*f**2 - 7*f**l = 0.
0
Let q = -48761 - -438913/9. Find b, given that 124/9*b**3 + q*b**2 - 16/9*b + 44/9*b**4 + 0 = 0.
-2, -1, 0, 2/11
Let v be 3/(-8) - (-75)/200. Let k(s) be the second derivative of -4*s**2 - 22/15*s**6 + 22/3*s**3 - 23/3*s**4 + 24*s + v + 23/5*s**5 + 4/21*s**7. Factor k(l).
4*(l - 2)*(l - 1)**3*(2*l - 1)
Let a be (-3 + 1 + -2)/(520/(-13) + 19). Let h(j) be the first derivative of 10 + 1/7*j**4 + 0*j - a*j**3 - 12/7*j**2. Let h(n) = 0. What is n?
-2, 0, 3
Suppose 0 = 4*p + 3*z + 5, 29*p - 5*z = 37*p + 3. Factor -9196/3*t**3 + 1472/3*t + 176*t**2 + 256/3 - 13310/3*t**p.
-2*(5*t - 2)*(11*t + 4)**3/3
Let a = 9 - 4. Let i be (-5 - 1) + 11 - (1298/(-99) - -13). Suppose 16/3*x - 32/9 + 2*x**4 - 2/9*x**a + 14/9*x**2 - i*x**3 = 0. What is x?
-1, 1, 4
Suppose 30*g + 3*q - 23 - 130 = 0, -2*g + 90 = 4*q. Find m, given that 3/5*m**2 + 18/5 - g*m = 0.
2, 3
Factor 35640*a + 2/7*a**4 + 17082/7*a**2 - 396/7*a**3 + 113400.
2*(a - 105)**2*(a + 6)**2/7
Let u(l) be the first derivative of -l**6/3 - 44*l**5/5 - 54*l**4 + 596*l**3/3 + 1837*l**2 + 2904*l + 1627. Suppose u(h) = 0. What is h?
-11, -3, -1, 4
Let i(f) be the first derivative of -100 + 80*f**2 + 5/2*f**6 + 250*f**3 + 32*f**5 + 575/4*f**4 - 160*f. Solve i(u) = 0.
-4, -2, -1, 1/3
Let r(m) be the first derivative of -m**6/3 + 95*m**4/2 - 180*m**3 + 176*m**2 - 2572. Solve r(a) = 0 for a.
-11, 0, 1, 2, 8
Determine p so that 521*p**4 - 27*p + 135*p - 545*p**4 + 150*p**2 - 216 - 3*p**5 - 15*p**3 = 0.
-6, -3, -2, 1, 2
Let f(x) be the third derivative of -x**6/40 + 129*x**5/10 - 16641*x**4/8 + 1730*x**2. Suppose f(s) = 0. What is s?
0, 129
Let w = 12/1279 + 1255/2558. Let -1/4*t + 0 + 1/4*t**5 + 1/2*t**2 - w*t**4 + 0*t**3 = 0. What is t?
-1, 0, 1
Suppose 71 = 12*q - 15*q - 4*u, -3*u - 22 = q. Let y be 1 + 14/(-35) - (-5)/q. Factor 2/5*j - y*j**2 - 2/15 + 2/15*j**3.
2*(j - 1)**3/15
Let c(b) be the second derivative of -b**6/120 - b**5/10 - 5*b**4/12 - 2*b**3/3 + 51*b - 5. Solve c(k) = 0 for k.
-4, -2, 0
Let r be -69*(-10)/(-1080) + (-9)/(-12). Let n(g) be the second derivative of -10*g + g**2 + r*g**4 + 0 + 11/18*g**3. Let n(o) = 0. Calculate o.
-2, -3/4
Let s(w) be the first derivative of -10*w**6/3 + 28*w**5/5 + 13*w**4 - 124*w**3/3 + 40*w**2 - 16*w + 3196. Solve s(y) = 0 for y.
-2, 2/5, 1
Let r(t) be the third derivative of -t**6/24 - 5*t**5/12 + 2*t**2 + 1892*t. Solve r(a) = 0.
-5, 0
Find k such that -1/5*k**3 + 49/5*k - 9/5*k**2 - 39/5 = 0.
-13, 1, 3
Let c(l) = 2366*l**2 - l + 2. Let q be c(-2). Factor 9468*n**2 - q*n**2 - 5*n**3 + 5*n.
-5*n*(n - 1)*(n + 1)
Let b(n) = 64*n**3 + 147*n**2 + 63*n + 5. Let p(m) = -96*m**3 - 220*m**2 - 92*m - 8. Let r(l) = -8*b(l) - 5*p(l). Solve r(q) = 0.
-11/8, -1, 0
Let 664/3*y**2 - 5/6*y**3 + 536/3 + 1606/3*y = 0. Calculate y.
-2, -2/5, 268
Let i(t) be the first derivative of -t**4/4 + 22*t**3/3 - 75*t**2/2 + 54*t - 1023. Solve i(q) = 0.
1, 3, 18
Let f = 1/241 - -1439/1687. Let u = 5/288 + 253/2016. Factor -1/7*m**2 - u*m + f.
-(m - 2)*(m + 3)/7
Let w(v) be the second derivative of -8*v**6/3 - 79*v**5/4 - 155*v**4/3 - 50*v**3 + 2988*v. Solve w(m) = 0 for m.
-2, -15/16, 0
Solve -2/9*o**2 + 28*o - 496/9 = 0 for o.
2, 124
Let j(q) = -12*q + 222. Let p be j(18). Determine y, given that -526*y**3 + 11 + 312*y**3 + p*y - 112*y**2 + 310*y**3 + 7 = 0.
-1/3, 3/4
Let v(n) be the second derivative of n**5/20 - 67*n**4/12 + 497*n**3/2 - 11025*n**2/2 - 674*n + 2. Factor v(q).
(q - 25)*(q - 21)**2
Let x = 11043 - 11039. Factor 2/3*c**3 + 8/15*c + 0 - 16/15*c**2 - 2/15*c**x.
-2*c*(c - 2)**2*(c - 1)/15
Factor -359/2 - 2871/4*l - 357/2*l**4 - 1076*l**2 - 1433/2*l**3 + 1/4*l**5.
(l - 718)*(l + 1)**4/4
Let c(w) = 25*w + 302. Let o be c(-12). Suppose -10*v**5 - 11*v**4 - 2*v**4 - 13 - 31 - 1 + 70*v**o - 30*v - 12*v**4 + 40*v**3 = 0. What is v?
-3, -1, 1, 3/2
Let -873*p**4 - 230 - 865*p**4 + 1763*p**4 + 515*p**3 - 1335*p**2 + 1025*p = 0. What is p?
-23, 2/5, 1
Let g(v) = -5*v - 222. Let z be g(-45). Let n(q) be the second derivative of -13/12*q**4 - q**2 + 13/6*q**z + 0 - 19*q + 1/2*q**6 - 13/20*q**5. Solve n(t) = 0.
-1, 1/5, 2/3, 1
Let f(h) = -5*h**3 + 3495*h**2 - 13934*h + 13872. Let x(w) = -5*w**3 + 3495*w**2 - 13932*w + 13876. Let p(b) = -6*f(b) + 7*x(b). Factor p(n).
-5*(n - 695)*(n - 2)**2
Let b = -119855/7 + 599821/35. What is z in -9/5*z - 81/5*z**4 + 27/5*z**5 + b*z**3 + 3/5 - 18/5*z**2 = 0?
-1/3, 1/3, 1
Suppose 320*t + 5*t**2 + 9533 - 4*t + t**2 - 10733 - 10*t**2 = 0. What is t?
4, 75
Find c such that 4*c**4 - 20699*c**2 - 344*c + 20519*c**2 - 34*c**3 + 202*c**3 = 0.
-43, -1, 0, 2
What is x in 478 + 21*x**2 - 46*x**2 + 24*x**2 + 164*x + 211*x + 102*x = 0?
-1, 478
Factor 494*a - 742 - 245*a - 5*a - 2*a**2 + 262.
-2*(a - 120)*(a - 2)
Let p = 460 - 451. Factor 16*a**2 - 20*a**2 + p*a**3 + 4 - 14*a + 6*a**3 - a**3.
2*(a - 1)*(a + 1)*(7*a - 2)
Let g = -819 + 810. Let j be 0 - -4 - (162/g)/(-18). Let -3/4*p - 19/4*p**2 - 21/4*p**4 - p**5 - 33/4*p**j + 0 = 0. Calculate p.
-3, -1, -1/4, 0
Suppose -2030/3*i**2 + 1000/3 - 32/3*i**3 + 58/3*i**4 + 1000/3*i + 4/3*i**5 = 0. What is i?
-10, -1/2, 1, 5
Let h(z) = 17*z - 75. Let j be h(5). Suppose -6 = -3*y - i, -3*y + j*i - 3 = 14*i. Solve 1/3*f**y - 1/3 - f**2 + f = 0 for f.
1
Let p(v) = -1149*v**2 + 234*v. Let z(l) = -229*l**2 + 48*l. Let f(o) = 5*p(o) - 24*z(o). Factor f(q).
-3*q*(83*q - 6)
Let t(k) = -k**2 - 10*k - 7. Let c be t(-9). Factor -6*l**c - 30*l - 22*l**3 - 15*l**2 + 19*l**3.
-3*l*(l + 2)*(l + 5)
Factor -18*f**3 - 50*f + 203/3*f**2 + 1/3*f**4 + 0.
f*(f - 50)*(f - 3)*(f - 1)/3
Let m(v) be the second derivative of -1/30*v**4 + 1/2*v**2 + 25 + 1/10*v**3 + 2*v. Find t such that m(t) = 0.
-1, 5/2
Find v, given that -551 + 2*v**5 + 46*v**4 + 1470*v - 4*v**5 + 452*v**3 + 333 + 1316*v**2 + 776 = 0.
-3, -1, 31
Let i(k) = k**3 + 13*k**2 - 58*k - 182. Let j be i(-16). Let z be (-142)/j - ((22 - 11) + -6). Find u, given that z - 4/11*u - 2/11*u**2 = 0.
-4, 2
Let z(s) = -2*s**3 - 11*s**2 + 8*s + 51. Let t be z(5). Let r be (-20)/(-250) - t/3325. Determine d, given that -r*d**2 + 2/19*d + 4/19 - 2/19*d**3 = 0.
-2, -1, 1
Let k(o) be the second derivative of 16*o**4/27 - 514*o**3/27 + 32*o**2/9 - 1294*o. Let k(t) = 0. Calculate t.
1/16, 16
Factor 3075 - 187 + 277*o + 4*o**2 - 304 - 339*o + 2650*o.
4*(o + 1)*(o + 646)
Suppose -4*u - 797 = 247. Let c be ((-5)/6)/(145/u). Factor 0 + c*j**3 + 1/2*j**4 + 3/2*j**2 + 1/2*j.
j*(j + 1)**3/2
Factor 0 + 5/2*m**2 + 2*m + 1/2*m**3.
m*(m + 1)*(m + 4)/2
Determine d so that -400*d + 16*d**2 - 29*d**2 + 4*d**3 + 1532 - 132 - 60*d + 29*d**2 = 0.
-14, 5
Let u(n) be the second derivative of 7 - 1/110*n**5 + 1/33*n**4 - 2/11*n**2 + 1/33*n**3 - 2*n. Determine i, given that u(i) = 0.
-1, 1, 2
Suppose d - 3*j = 25, -d + 3*j + 45 = 4*j. Let k be 5/d + 120/64. Suppose 5*l + 1/3*l**3 - 7/3*l**k - 3 = 0. What is l?
1, 3
Let r = 1 + -1. Let b(u) be the third derivative of 0 + 1/135*u**5 - 1/108*u**6 + 0*u**3 + 4/945*u**7 - 1/1512*u**8 + 0*u**4 - 10*u**2 + r*u. Factor b(w).
-2*w**2*(w - 2)*(w - 1)**2/9
Let v = -9748 + 9753. Determine k, given that 0*k + 3/2*k**4 + 3/2*k**v - 3/2*k**3 + 0 - 3/2*k**2 = 0.
-1, 0, 1
Suppose -65*m**3 + 160 - m**4 - 2*m**4 + 129*m**2 - 19 + 390*m + 17*m**3 + 75 = 0. What is m?
-18, -1, 4
Let f = 31 + 4. Let a be f/(-20)*-4 + (-2 - 1). Factor 2*z**5 - 4*z - z**3 + 6*z**a + 3*z**3 - 6