1*u.
u*(u - 9)/11
Suppose 6 = 7*i - 8*i - r, -4*i - 44*r = -43*r. Factor 16*t**4 - 52*t**3 + 177/4*t**i + 1/2 - 35/4*t.
(t - 2)*(t - 1)*(8*t - 1)**2/4
Let k(s) be the first derivative of -2*s + 4 - 2/3*s**2 + 2/9*s**3. Determine c so that k(c) = 0.
-1, 3
Determine o so that -415 - 70*o**2 - 78*o**2 + 224*o**2 - 71*o**2 + 410*o = 0.
-83, 1
Suppose 0 = -10*l - 7*f + 5*f - 758, 288 = -4*l + 3*f. Let m be -3*2/l + (-62)/775. Factor 0 + m*t - 1/5*t**3 + 1/5*t**2.
-t**2*(t - 1)/5
Suppose -4*z + 12 = j + 3*j, 0 = 2*z. Suppose -j*n = -2*k - 11, -k = 3*k + 3*n - 23. Find r, given that 64*r**2 - 35*r**k - r**3 - 29*r**2 - r**4 = 0.
-1, 0
Factor -33*g + 107 - 18*g - 38*g + 5*g**2 - 36*g + 13.
5*(g - 24)*(g - 1)
Suppose 3*o = 8*q - 13*q - 6, 0 = -4*o - 28. Let a(h) be the second derivative of -1/84*h**4 - 32/7*h**2 + 0 + 8*h + 8/21*h**q. Factor a(n).
-(n - 8)**2/7
Suppose 3*n - 23 = -4*q, -q = 3*n - 5*q - 7. Let -24*f**4 - 12*f**5 + 33*f + 90*f**3 + 2*f**n + 5*f**5 - 96*f**2 + 2*f**5 = 0. Calculate f.
-11, 0, 1
Let t(x) be the third derivative of 0*x + 1/180*x**5 + 0*x**3 + 0 - 211*x**2 - 1/24*x**4. Factor t(r).
r*(r - 3)/3
Let w be (-17572)/2101*154/(-126). Solve w*q - 4/9*q**2 + 200/9 = 0 for q.
-2, 25
Determine o, given that -102 - 261/5*o - 3/5*o**2 = 0.
-85, -2
Let l(q) be the third derivative of -q**5/660 + 163*q**4/66 - 53138*q**3/33 + 2*q**2 - 397*q. Factor l(w).
-(w - 326)**2/11
Let x(m) be the third derivative of 172*m**2 + 0*m + 3/40*m**5 + 1/960*m**6 + 0 - 3/4*m**3 - 1/192*m**4. Factor x(s).
(s - 1)*(s + 1)*(s + 36)/8
Let a(r) be the third derivative of r**8/448 - 11*r**7/280 - 83*r**6/160 + 7*r**5/16 + 109*r**4/16 - 20*r**3 + 2920*r**2. Find m, given that a(m) = 0.
-5, -2, 1, 16
Let b be 6 - (3/12 + (-5685)/(-925)). Let v = 3/740 - b. Find w, given that -v*w + 2/5*w**2 + 2/5*w**3 - 2/5 = 0.
-1, 1
Let j(k) be the third derivative of -k**6/100 - k**5/10 + k**4/5 + 4*k**3 + k**2 + 515. Solve j(n) = 0 for n.
-5, -2, 2
Let i(o) = -o**3 + 45*o**2 - 46*o + 94. Let k be i(44). Let c be -6 - (-42)/(-133)*(-116)/k. Find p, given that -4/19*p**2 + 0*p + 0*p**3 + c + 2/19*p**4 = 0.
-1, 1
Let m(q) be the third derivative of -q**8/1680 - 2*q**7/175 - 3*q**6/50 - 8*q**5/75 - q**2 - 202*q. Determine j so that m(j) = 0.
-8, -2, 0
Suppose 189/5*y**2 - 84/5*y**3 - 72/5 + 6/5*y**5 - 9/5*y**4 - 6*y = 0. What is y?
-4, -1/2, 1, 2, 3
Let u(b) = 5*b**4 - 9*b**3 - 11*b**2 + 15*b - 6. Let z(i) = -i**3 + i**2 + 1. Let f = 113 + -112. Let v(p) = f*u(p) + 6*z(p). Factor v(j).
5*j*(j - 3)*(j - 1)*(j + 1)
Let a be 8*(95/10 - 9). Let r(t) = -19*t**3 - 4*t**2 - 3*t + 18. Let n(v) = -15*v**3 - 4*v**2 - 3*v + 18. Let i(q) = a*r(q) - 5*n(q). Find f such that i(f) = 0.
-2, 3
Let w(k) be the second derivative of -k**4/18 + 466*k**3/9 + 467*k**2/3 + 2970*k. What is o in w(o) = 0?
-1, 467
Let m(x) = -5*x + 89. Let h be m(15). Let d be 206/721 + 24/h. Factor 9/4 + 3/8*y**d + 15/8*y.
3*(y + 2)*(y + 3)/8
Let r = -26123 - -26130. Let g(u) be the second derivative of -1/6*u**4 + 1/21*u**r - 3 - 2*u + 0*u**2 + 1/15*u**6 + 0*u**3 - 1/10*u**5. Factor g(t).
2*t**2*(t - 1)*(t + 1)**2
Let y(k) be the first derivative of 8*k**5/45 - 19*k**4/18 - 26*k**3/27 + 94*k**2/9 + 16*k/3 - 7805. Find i, given that y(i) = 0.
-2, -1/4, 3, 4
Let a(p) = 8*p**2 - 3282*p - 3339. Let m(c) = -4*c**2 + 1646*c + 1671. Let h(n) = 3*a(n) + 7*m(n). Find r such that h(r) = 0.
-1, 420
Let o(h) be the second derivative of h**5/20 + 47*h**4/12 + 64*h**3/3 - 88*h**2 + 2*h + 1727. Factor o(r).
(r - 1)*(r + 4)*(r + 44)
Suppose -89 = 5*p - b + 135, 85 = -2*p + 5*b. Let f = 136/3 + p. Factor 2/3*h - 1 + f*h**2.
(h - 1)*(h + 3)/3
Solve 28*q**2 - 3249/2 - 1/4*q**3 - 3021/4*q = 0.
-2, 57
Let h = -596914 - -4178401/7. Factor -54/7 + 57/7*q - h*q**2.
-3*(q - 18)*(q - 1)/7
Let n(t) be the first derivative of -51 + 62*t**2 - 2/3*t**3 - 1922*t. Factor n(k).
-2*(k - 31)**2
Let q(f) = -13*f**4 - 69*f**3 - 136*f**2 - 96*f - 28. Let o(z) = -53*z**4 - 277*z**3 - 543*z**2 - 383*z - 115. Let c(k) = -4*o(k) + 17*q(k). Solve c(i) = 0.
-4, -2, -1, -2/9
Solve -3*v**3 - 62626*v + 31386*v + 31351*v + 45*v**2 - 153 = 0.
-3, 1, 17
Let o(s) be the second derivative of -1 + 0*s**2 + 33*s + 5/3*s**4 + 1/6*s**6 + 0*s**3 + 5/4*s**5. Factor o(i).
5*i**2*(i + 1)*(i + 4)
Let z = -646076/3 - -215362. Solve 2/9*w**5 - 10/9*w**3 - 8/3 - 2/3*w**4 + 8/9*w + z*w**2 = 0 for w.
-2, -1, 1, 2, 3
Let t = 342331 + -1711652/5. Factor 6 - 9/5*b - t*b**2.
-3*(b - 2)*(b + 5)/5
Let l(r) be the third derivative of r**5/4 - 935*r**4/3 - 2495*r**3/6 + r**2 - 1800. Find q such that l(q) = 0.
-1/3, 499
Let n(b) be the third derivative of -b**5/120 - 43*b**4/48 + 20*b**2 - 14. Find z such that n(z) = 0.
-43, 0
Let l be ((-10)/8)/((-165)/(-120) + -9 - -2). Determine i so that -8/9 + l*i**3 - 2/3*i**4 + 14/9*i**2 - 2/9*i**5 + 0*i = 0.
-2, -1, 1
Factor 577*y**2 - 934 - 7*y**3 + 618*y**2 - 6588*y - 692 + 422 - 776.
-(y - 165)*(y - 6)*(7*y + 2)
Let g(f) be the second derivative of -1 - 9/80*f**5 + 0*f**2 - 6*f + 5/12*f**4 - 1/6*f**3. Determine b so that g(b) = 0.
0, 2/9, 2
Let z(j) be the third derivative of -j**8/112 - 11*j**7/70 - 4*j**6/5 - 7*j**5/5 + 3251*j**2. Let z(k) = 0. What is k?
-7, -2, 0
Let j be 165/(-66) + 62/28 + (-1314)/(-63). Find z, given that -16/7*z + 16*z**2 + 0 + j*z**4 - 228/7*z**3 = 0.
0, 1/4, 2/3
Let z be 6/(-9) - ((-3350)/15)/5. Suppose 16*q = 5*q + z. Let f(g) = -3*g**2 - 3*g + 4. Let s(a) = 1. Let l(h) = q*s(h) - f(h). Solve l(x) = 0 for x.
-1, 0
Let t(a) be the third derivative of a**7/105 - a**6/60 - a**5/10 + a**4/12 + 2*a**3/3 + 109*a**2 + 1. Factor t(u).
2*(u - 2)*(u - 1)*(u + 1)**2
Let j(b) be the third derivative of -1/60*b**6 + 0*b**3 + 1/40*b**5 + 1/420*b**7 + 0*b + 51*b**2 + 0 + 0*b**4. What is u in j(u) = 0?
0, 1, 3
Let d(v) = -2*v**3 + 1 + 3*v**3 + 230*v + 1 + 48*v**2 - 40*v. Let y(g) = 6*g**3 + 336*g**2 + 1329*g + 15. Let n(k) = 15*d(k) - 2*y(k). Factor n(j).
3*j*(j + 8)**2
Suppose 248*l - 2045 - 1827 = 344. Let j(y) be the first derivative of -l + 5/3*y**3 + 0*y**2 - 5*y. What is c in j(c) = 0?
-1, 1
Let x(y) = -y**5 - 9*y**4 + 130*y**3 + 757*y**2 - 5319*y - 5944. Let g(a) = a**2 - 2*a - 5. Let s(m) = -6*g(m) + 2*x(m). Let s(n) = 0. Calculate n.
-11, -1, 7
Solve 2547*w**4 + 0 + 1944*w - 2550*w**4 + 90*w**2 + 0 + 78*w**3 - 765*w**2 = 0 for w.
0, 8, 9
Suppose -11*a = -14*a + 42. Suppose 5*r - a = -4. Suppose -4*s**2 + 263*s - 269*s + s**r = 0. What is s?
-2, 0
Factor 13783 - 13918 + 3*m**2 - 2*m**2 + 42*m.
(m - 3)*(m + 45)
Let r be -2*(-25)/2400*12. Solve 289/4 - 17/2*y + r*y**2 = 0.
17
Let v be 43/111 - 118/2183. Let h(n) be the second derivative of v*n**4 + 18*n**2 + 0 + n + 4*n**3. Let h(c) = 0. What is c?
-3
Let m(o) be the first derivative of o**3/4 - 153*o**2/2 + 7803*o + 86. What is u in m(u) = 0?
102
Suppose -45*i + 234*i = 124*i + 195. Suppose -36/5*k**2 - 192/5 - 144/5*k - 3/5*k**i = 0. Calculate k.
-4
Let b(d) be the first derivative of 27/25*d**5 + 0*d - 18/5*d**2 - 81/20*d**4 - 1/10*d**6 + 200 + 31/5*d**3. Determine y, given that b(y) = 0.
0, 1, 3, 4
Let d(c) be the third derivative of c**8/896 - 3*c**7/560 - c**6/20 + 11*c**5/20 - 9*c**4/4 + 5*c**3 - 1181*c**2. Factor d(k).
3*(k - 2)**4*(k + 5)/8
Let c(s) = 2*s**3 - 8*s**2 - s - 9. Let p be c(5). Determine j so that 25 - 12 + 1662*j**2 - p*j - 1665*j**2 + 26 = 0.
-13, 1
Let d(x) be the second derivative of x**5/5 + 11*x**4/3 - 260*x**3 - 5547*x. Factor d(k).
4*k*(k - 15)*(k + 26)
Let 2/11*w**2 - 4/11*w - 6/11 = 0. What is w?
-1, 3
Let -2684/7*m - 2904/7 - 7*m**3 - 710/7*m**2 - 1/7*m**4 = 0. Calculate m.
-22, -3, -2
Let f(s) = s**2 - 63*s + 197. Let n be f(3). Let p = n + -49/3. Factor 8/9*c**2 + 2/9*c**3 + p*c + 0.
2*c*(c + 1)*(c + 3)/9
Let y(n) = -4*n**2 + 600*n + 48672. Let a(t) = -18*t**2 + 2392*t + 194688. Let z(j) = -6*a(j) + 26*y(j). Solve z(p) = 0 for p.
-156
Let f = 18676/5 - 3735. Let b(h) be the second derivative of 12*h + 8*h**2 - f*h**5 + 0 - 16/3*h**3 + 5/3*h**4. Factor b(z).
-4*(z - 2)**2*(z - 1)
Let m be -4 - (-4 + 4 + (-7 - -1)). Let -7*s - 1167 - s**2 - 111*s + 267 - 3*s**m - 2*s = 0. What is s?
-15
Let b(w) = 11*w**2 - 44*w + 5. Let h be b(4). Let 55*v**4 - h*v**5 + 0*v**5 - 28 + 200*v - 112 + 185*v**2 - 100 - 195*v**3 = 0. What is v?
-1, 1, 3, 4
Find f, giv