n that 3*b**5 - 4*b**4 - 4*b - 13*b**n - 12*b**2 + 3*b**4 - 5*b**4 - 4*b**5 = 0.
-2, -1, 0
Let y(o) = 42*o**3 + 160*o**2 + 462*o - 15. Let u(k) = -59*k**3 - 240*k**2 - 693*k + 21. Let m(d) = 5*u(d) + 7*y(d). Determine z, given that m(z) = 0.
-77, -3, 0
Let 96*r**3 + 96*r**3 - 1645*r - 187*r**3 - 1029 + 7644 + 65*r**2 = 0. Calculate r.
-27, 7
Factor 51/2*l - 1/2*l**3 - 2*l**2 + 27.
-(l - 6)*(l + 1)*(l + 9)/2
What is l in 0 - 97*l - 1/2*l**2 = 0?
-194, 0
Let v(y) be the first derivative of 0*y + 5/9*y**6 - 2/3*y**3 + 9/5*y**5 + 11/12*y**4 + 0*y**2 + 36. Determine h so that v(h) = 0.
-2, -1, 0, 3/10
Let x(p) be the third derivative of -7/20*p**6 - 3/8*p**4 + 0 + 13/140*p**7 - 1/112*p**8 + 0*p + 0*p**3 + 310*p**2 + 23/40*p**5. Let x(s) = 0. What is s?
0, 1/2, 1, 2, 3
Let n(w) = 54*w**2 - 259*w - 1553. Let k(y) = 38*y**2 - 173*y - 1035. Let j(r) = -7*k(r) + 5*n(r). Factor j(o).
4*(o - 26)*(o + 5)
Let x be (-866)/22560 - 64/(-1504). Let t(m) be the third derivative of 0*m - x*m**5 + 1/96*m**4 + 0*m**3 + 0 + 14*m**2. Factor t(p).
-p*(p - 1)/4
Find x such that -844*x**2 + 424*x**2 + 432*x + 422*x**2 + 112 + 318 = 0.
-215, -1
Let b(m) be the second derivative of -m**6/10 - 87*m**5/5 - 115*m**4/4 - 13*m - 3. Factor b(n).
-3*n**2*(n + 1)*(n + 115)
Let v(x) be the second derivative of -63*x**4/4 - 60*x**3 - 600*x**2/7 - 3659*x. Factor v(r).
-3*(21*r + 20)**2/7
Let p(w) be the second derivative of -w**4/3 + 118*w**3/3 + 244*w**2 - 864*w - 1. Determine u so that p(u) = 0.
-2, 61
Suppose -q + 2 = -2*t, -14*q + 13*q + 2 = 0. Suppose t = -307*v + 284*v. Factor 1/4*d**2 + v + 1/4*d.
d*(d + 1)/4
Let y(l) be the first derivative of -42/5*l + 9/2*l**2 - 9/4*l**4 + 3/25*l**5 + 13/5*l**3 - 2. Solve y(u) = 0 for u.
-1, 1, 14
Let w(c) be the second derivative of -1/15*c**4 - 88*c + 0 - 338/5*c**2 - 52/15*c**3. Determine s so that w(s) = 0.
-13
Let h(i) be the second derivative of i**7/525 + 11*i**6/900 + i**5/60 - i**4/30 + 121*i**3/6 + 91*i. Let t(q) be the second derivative of h(q). Factor t(l).
2*(l + 1)*(l + 2)*(4*l - 1)/5
Let r(h) be the third derivative of -h**7/126 + h**6/24 + h**5/36 - 5*h**4/24 - 38*h**2 - 3*h - 17. Factor r(t).
-5*t*(t - 3)*(t - 1)*(t + 1)/3
Let p(s) be the third derivative of s**6/480 + s**5/3 + 449*s**4/96 + 185*s**3/12 + 3230*s**2 + 1. Determine a, given that p(a) = 0.
-74, -5, -1
Factor 639 - 237 + 517 + 1712*u + 2*u**3 + 434*u**2 + 785.
2*(u + 2)**2*(u + 213)
Let w(u) = 68*u**2 + 259*u + 1145. Let n(k) = 19*k**2 + 86*k + 382. Let h(p) = 7*n(p) - 2*w(p). Suppose h(m) = 0. Calculate m.
-4, 32
Let m(y) = 9*y**2 - 12*y - 160. Let h(p) = 11*p**2 - 10*p - 161. Let z(w) = -4*h(w) + 5*m(w). Factor z(x).
(x - 26)*(x + 6)
Let p(m) be the first derivative of m**5/10 - 1111*m**4/4 + 410699*m**3/2 + 617716*m**2 + 618272*m + 489. Factor p(x).
(x - 1112)**2*(x + 1)**2/2
Let l(s) be the second derivative of 5*s**7/42 - 67*s**6/6 - 71*s**5/4 + 995*s**4/12 + 845*s**3/3 + 340*s**2 + 24*s - 46. Suppose l(z) = 0. What is z?
-1, 2, 68
Suppose -11*q = 5*q - 272. Suppose -4*i + 3*y = -q, -5*i + i + 15 = -5*y. Solve -8/5*f**3 + 0 + 4/5*f + 0*f**4 + 0*f**2 + 4/5*f**i = 0 for f.
-1, 0, 1
Let t(u) be the first derivative of 6241*u**6/12 - 31521*u**5/10 + 7033*u**4/4 + 24638*u**3/3 - 630*u**2 + 16*u + 1470. Solve t(s) = 0.
-1, 2/79, 2, 4
Let s be (-14)/77 + 36400/9625. What is m in -s*m**5 - 64/15*m**2 - 8/15*m - 158/15*m**3 - 52/5*m**4 + 0 = 0?
-1, -2/3, -2/9, 0
Let r = -36 + 35. Let q = 2 - r. Factor 3*k**4 + 7*k**2 + 2*k**3 - 6 - 8*k + 7*k**q - k - 4*k**2.
3*(k - 1)*(k + 1)**2*(k + 2)
Let a(y) be the third derivative of 13/105*y**5 - 1/735*y**7 - 75/7*y**3 + 1/105*y**6 - 5/7*y**4 - 198*y**2 + 0*y + 0. Factor a(s).
-2*(s - 5)**2*(s + 3)**2/7
Let s be (-1)/((-4)/(-10)*(-15)/(-12)). Let m be s/7 - 268/(-7). Factor 81 - m + 3*r**4 - 3*r**3 + 6*r - 46 - 3*r**3.
3*(r - 1)**3*(r + 1)
Let g be ((-2373)/(-2373))/(((-9)/(-48))/(6/10)). Factor -2/5*h**3 - 8/5 - g*h - 2*h**2.
-2*(h + 1)*(h + 2)**2/5
Let a(v) = 15*v**4 - 716*v**3 - 433*v**2 + 283*v - 15. Let u(p) = -60*p**4 + 2865*p**3 + 1731*p**2 - 1131*p + 63. Let f(s) = 21*a(s) + 5*u(s). Factor f(b).
3*b*(b - 48)*(b + 1)*(5*b - 2)
Let c(k) = 7*k - 17. Let b be c(4). Suppose 0 = -b*w - 3*w + 70. Find t, given that -15*t**2 + 15*t + 120*t**4 - 75*t**3 + 3 - 128*t**w + 44*t**5 + 36*t**5 = 0.
-1/4, 1
Let k(s) be the first derivative of 25/56*s**4 - 2/7*s**3 - 3/2*s**2 - 3/70*s**5 + 17 + 4*s. Let u(c) be the second derivative of k(c). Factor u(p).
-3*(p - 4)*(6*p - 1)/7
Let s = -198 - -530/3. Let l = -826/39 - s. Determine i, given that 2/13*i - 2/13 + 2/13*i**2 - l*i**3 = 0.
-1, 1
Factor 404*v + 85 - 66*v**2 + 61*v**2 - 324*v.
-5*(v - 17)*(v + 1)
Let t(c) = -c**4 - 23*c**3 - 166*c**2 - 394*c + 8. Let k(d) = -5*d**4 - 115*d**3 - 829*d**2 - 1969*d + 44. Let r(s) = -6*k(s) + 33*t(s). Factor r(w).
-3*w*(w + 6)**2*(w + 11)
Let i(d) = 3*d**3 + 708*d**2 - 14*d - 7. Let x(f) = 2*f**3 + 472*f**2 - 10*f - 5. Let s(n) = 5*i(n) - 7*x(n). What is b in s(b) = 0?
-236, 0
Let v(j) be the third derivative of 1/15*j**5 + 153*j**2 + 1/168*j**8 + 0*j + 2/35*j**7 - 8/3*j**3 + 0 + 11/60*j**6 - j**4. Factor v(r).
2*(r - 1)*(r + 1)*(r + 2)**3
Let d(m) be the first derivative of m**6/21 + 8*m**5/7 + 129*m**4/14 + 76*m**3/3 - 32*m**2/7 - 768*m/7 + 3414. Let d(u) = 0. Calculate u.
-8, -3, -2, 1
Let a(l) be the first derivative of -l**3/6 - 7*l**2/4 - 5*l + 1296. Let a(q) = 0. Calculate q.
-5, -2
Let j(p) = 3*p**3 + 2159*p**2 - 5. Let o(z) = -4*z**3 - 2158*z**2 + 6. Let h(s) = -6*j(s) - 5*o(s). Factor h(y).
2*y**2*(y - 1082)
Suppose -60/7 + 127/7*o**2 + 8/7*o**3 + 464/7*o = 0. What is o?
-10, -6, 1/8
Let m = -1/656299955 + -30363717416547/1002826331240. Let y = 37/382 - m. What is z in y - 27/4*z + 3/8*z**2 = 0?
9
Let n = -99 + 102. Suppose 5*i = 3*b + 13, -2*i = -6*i + 4*b + 4. What is z in -16*z**4 + 2*z**n - 6*z**3 + 26*z + 8 - 162*z**i + 156*z**5 + 24*z**2 = 0?
-1, 4/3
Factor -2/3*w**3 - 1734*w + 0 - 68*w**2.
-2*w*(w + 51)**2/3
Let j(w) be the third derivative of -w**5/30 + 1117*w**4/12 - 372*w**3 + w**2 + 640. Let j(v) = 0. Calculate v.
1, 1116
Suppose 3*j + 3 = -3*h - 6, 12 = -2*h - 4*j. Suppose h*a - 3*a + 12 = 3*f, 5*a = -f + 12. Find c such that 5 + 15*c**2 - 5 - 4*c - 19*c**f = 0.
-1, 0
Let g be ((-6)/(-2))/(3/10). Suppose -29*d + 100 = -45. Solve -3*v + 10*v**3 - v - g + 10*v**2 - 11*v + d*v**3 = 0 for v.
-1, -2/3, 1
Solve -3*c**4 + 4393216 - 13177551*c**2 + 25151/2*c**3 - 2200800*c = 0.
-2/3, 1/2, 2096
Let j(v) be the first derivative of -108 + 5/3*v**3 + 85/2*v**2 + 0*v. Factor j(u).
5*u*(u + 17)
Let l(q) be the second derivative of q**6/90 - 7*q**5/30 + 13*q**4/9 - 11*q**3/3 + 9*q**2/2 + q - 757. Suppose l(k) = 0. What is k?
1, 3, 9
Let s(i) = 35*i + 560. Let g be s(-16). Let l(v) be the first derivative of 1/9*v**3 + g*v**2 + 17 - 1/3*v. Factor l(t).
(t - 1)*(t + 1)/3
Let f(o) be the second derivative of -o**7/840 - 3*o**6/80 + o**5/4 + 73*o**4/6 - 3*o - 24. Let m(u) be the third derivative of f(u). Factor m(k).
-3*(k - 1)*(k + 10)
Let k be (-14)/(-572)*56 - (182574/2691)/147. Suppose -k*l**4 + 14/11*l**2 - 6/11*l**3 + 6/11*l - 4/11 = 0. Calculate l.
-1, 2/5, 1
Let x(g) be the second derivative of -g**5/180 - g**4/72 + g**3/9 - g**2/2 - 8*g. Let j(d) be the first derivative of x(d). Determine h, given that j(h) = 0.
-2, 1
Let d = -52 + 91. Suppose 24 = -d*m + 41*m. Solve -20*z**5 + m*z**4 + 8*z**3 + 0*z - 24*z**4 + 0*z = 0.
-1, 0, 2/5
Let m(t) = -10*t**2 + 8*t - 11*t**2 - 25*t - 7*t**2. Let k(i) = -13*i**2 - 10*i. Let h(l) = 13*k(l) - 6*m(l). Factor h(v).
-v*(v + 28)
Solve 4*g**2 - 20512*g + 5833066 + 2860395 - 43974 + 3471441 + 14175456 = 0 for g.
2564
Let u = -376/77 - -772/77. Factor 3/7*h**2 - 12/7*h - u.
3*(h - 6)*(h + 2)/7
Let m be 2 + 66 + (21 - 25). Let 81*o**4 + m - 53*o**2 - 116*o**3 - 280*o**3 - 352*o + 374*o**2 + 307*o**2 = 0. Calculate o.
4/9, 2
Factor -338*f**2 - 2*f**3 + 7*f**3 + 308*f**2 + 245*f**2 + 210*f.
5*f*(f + 1)*(f + 42)
Suppose 32*p - 23*p = 54. Let y(a) = -7*a**2 + 4*a - 18. Let u(x) = x**2 - 2*x + 1. Let s(m) = p*u(m) + y(m). Factor s(c).
-(c + 2)*(c + 6)
Factor -45*f**2 + 50*f**3 - 12*f**2 - 10*f**2 + 292*f**4 - 297*f**4 - 13*f**2.
-5*f**2*(f - 8)*(f - 2)
What is q in 24*q**2 - 381*q + 575*q - 198*q - 24 + 