 + 5)**2/5
Let n = -1573 - -1378. Let u = -192 - n. Solve 0*j - 2/5*j**u + 0 + 2/15*j**2 = 0 for j.
0, 1/3
Let u(g) = 24*g - 61. Let h be u(3). Let q be 46*7/924 - 2/h. Factor 7/6*y**4 + 1/2 - y**3 + 5/6*y**5 - 5/3*y**2 + q*y.
(y - 1)*(y + 1)**3*(5*y - 3)/6
Let x(b) be the third derivative of -b**7/7560 + b**6/3240 - 22*b**3/3 - 40*b**2. Let n(c) be the first derivative of x(c). Find s, given that n(s) = 0.
0, 1
Let w(x) be the first derivative of 5/2*x**3 + 5*x**2 - 21*x - 1 + 0*x**4 - 1/4*x**5. Let j(b) be the first derivative of w(b). Factor j(q).
-5*(q - 2)*(q + 1)**2
Let w(i) be the second derivative of 5*i**7/42 + 2*i**6 + 15*i**5/2 + 35*i**4/3 + 15*i**3/2 - 111*i - 2. Determine c so that w(c) = 0.
-9, -1, 0
Let r(k) be the second derivative of -5*k**7/273 - 43*k**6/195 - k**5/65 + 94*k**4/39 + 88*k**3/39 - 64*k**2/13 - 2*k - 278. Find o such that r(o) = 0.
-8, -2, -1, 2/5, 2
Let w be 2983/(-471) - (0 - 9 - 3/(-3)). Let a(m) be the second derivative of -65/6*m**3 + 41*m + 0 + w*m**4 + 15*m**2 + 3/4*m**5. Factor a(d).
5*(d - 1)*(d + 3)*(3*d - 2)
Let y(c) be the first derivative of -1/66*c**6 - 20/33*c**3 + 0*c + 7/44*c**4 - 132 + 6/11*c**2 + 2/55*c**5. Determine t so that y(t) = 0.
-3, 0, 1, 2
Suppose 3*m + 75 - 75 = 0. Let v(p) be the second derivative of 0*p**2 + 0 - 8*p + 1/5*p**5 + m*p**3 - p**4. Determine n so that v(n) = 0.
0, 3
Let 2/13*h**5 + 406/13*h**3 - 1202/13*h**2 - 54/13*h**4 + 1392/13*h - 544/13 = 0. Calculate h.
1, 4, 17
Let x(c) = -17*c + 2*c**2 + 37 + 4*c**2 - 2 - 5*c**2. Let w be x(15). Factor 12*o**2 + 20*o**4 - 7*o - 2*o**2 + 7*o + 25*o**3 + 5*o**w.
5*o**2*(o + 1)**2*(o + 2)
Let m be 68/(-510)*3 + 44/10. Factor 2/7*f**m - 6/7*f**2 + 32/7*f - 12/7*f**3 + 24/7.
2*(f - 6)*(f - 2)*(f + 1)**2/7
Let i be -45*(-13)/234*6. Let a(s) be the first derivative of -i + 8*s + 2/3*s**3 - 5*s**2. Factor a(y).
2*(y - 4)*(y - 1)
Suppose -7*j - 13 = 6*j. Let a(h) = -h**4 - h**2 - h - 1. Let m(s) = 2*s**5 + 15*s**4 + 54*s**3 + 51*s**2 - 3*s - 3. Let c(g) = j*m(g) + 3*a(g). Factor c(p).
-2*p**2*(p + 3)**3
Let n(p) be the third derivative of p**7/945 + p**6/270 - p**5/54 - p**4/18 - 8165*p**2. Factor n(l).
2*l*(l - 2)*(l + 1)*(l + 3)/9
Let i = -122038 + 122049. Suppose i*f + 121/2 + 1/2*f**2 = 0. Calculate f.
-11
Let d be 1 - 3 - 3/(-6)*30. Suppose -d*r + 64 = -11*r. Let 16*s + 0*s + 2*s**3 + r - 2*s**2 - 12*s**2 = 0. What is s?
-1, 4
Suppose -9*m + 13*m - 7 = -3*f, f = 3*m - 2. Let z be (6/(72/(-42)))/m - -5. Find k such that 2*k - k**4 - z*k**3 + 1/2*k**5 + 0 + 2*k**2 = 0.
-1, 0, 2
Let g(q) = -3*q - 35. Let a be g(-13). Suppose -2*n + 6*n - 5*w = 33, 23 = a*n - 3*w. Find j such that -1/2*j**5 + 2*j - 3/2*j**3 + 2*j**2 - n*j**4 + 0 = 0.
-2, -1, 0, 1
Let d(j) be the second derivative of -j**6/45 - 7*j**5/30 + 2*j**4/3 - 10*j**3/3 - j - 8. Let s(c) be the second derivative of d(c). Factor s(g).
-4*(g + 4)*(2*g - 1)
Let y(v) be the second derivative of 3 - 13*v + 0*v**2 - 5*v**4 + 2*v**3 - 33/20*v**5. Determine l, given that y(l) = 0.
-2, 0, 2/11
Suppose -m + 17 = -5*t, 6 - 10 = m + 2*t. Find y such that -22*y**2 + 10*y**2 - 148*y + 0*y**m - 48 = 0.
-12, -1/3
Factor -10203*m + 20313*m - 9913*m - 202 + 5*m**2.
(m - 1)*(5*m + 202)
Find o, given that 0 + 2/13*o**2 - 1770/13*o = 0.
0, 885
Let j(n) be the first derivative of 1/3*n - 1/12*n**4 + 86 - 7/27*n**3 + 7/18*n**2. Factor j(k).
-(k - 1)*(k + 3)*(3*k + 1)/9
Suppose 0 = -24*g + 16218 + 6198. Factor g*q - 2*q**3 - 938*q - 4*q**2 + 6*q**3 + 4*q**4.
4*q*(q - 1)*(q + 1)**2
Let p = -116 - -119. Let f(x) = -x + 14. Let h be f(10). Solve -6*q + 6*q**p + 2*q - 2*q + 3 - 3*q**h = 0.
-1, 1
Let b = 53386/9 + -5930. Let u be 34/117 + 14/91. Factor -2/3*y**2 - 8/9 + b*y + 2/9*y**4 - u*y**3.
2*(y - 2)*(y - 1)**2*(y + 2)/9
Solve 465/7*u**2 - 54/7*u**3 + 0 + 1/7*u**4 - 1100/7*u = 0.
0, 5, 44
Let f(q) be the second derivative of q**5/20 - 13*q**4/3 + 142*q**3/3 - 184*q**2 + 4*q + 934. Factor f(t).
(t - 46)*(t - 4)*(t - 2)
Suppose q - 21 = 4*n + 3, -2*q - 3*n - 7 = 0. Suppose q*j + z = -4*z + 27, 0 = -z - 1. Factor 5*g**2 - j*g**2 + 4*g**2.
g**2
Let h(y) be the third derivative of 0*y + 9/2*y**3 - 1/40*y**6 - 15/8*y**4 + 0 - 31*y**2 + 7/20*y**5. Determine s so that h(s) = 0.
1, 3
What is q in 88 - 3099*q**2 - 268*q - 3097*q**2 + 6208*q**2 = 0?
1/3, 22
Let w be 36/198 - 75/(-11) - 132/28. Factor 68/7*o - w - 16/7*o**2.
-4*(o - 4)*(4*o - 1)/7
Solve 129*s**2 + 238*s**2 + 1545*s**2 + 400*s**4 - 4*s**5 + 368*s**2 - 1924*s**3 = 0 for s.
0, 2, 3, 95
Let z(v) = 55*v + 281. Let p be z(-5). Let u be p/(-4) + (0 - -2). Solve -1/6*l**3 + 0 + u*l**4 + 1/6*l**5 + 0*l - 1/2*l**2 = 0 for l.
-3, -1, 0, 1
Let y(x) be the third derivative of x**6/1080 + x**5/270 - x**4/27 + 901*x**2. Find q such that y(q) = 0.
-4, 0, 2
Let i be (-4)/8*-2*113. What is c in -4*c**2 + 86 + c**2 - 7*c - i + 25*c = 0?
3
Let m = 15 + 14. Suppose m = 4*g + 3*l, -g + 4*l - 5 - 2 = 0. Factor 120*c**3 - 245*c**g - 9*c**4 - 210*c**2 - 96*c**4 + 190*c**2.
-5*c**2*(c + 1)*(7*c - 2)**2
Let g(o) = o**3 - 2*o**2 - o + 2. Let z(r) = 8*r**3 - 188*r**2 + 162*r + 18. Let x(w) = -36*g(w) + 4*z(w). Factor x(f).
-4*f*(f - 1)*(f + 171)
Let p = 278 + -284. Let g be (-90)/(-225) + p/(-10) + 1. Factor 0*z + 1/4*z**g + 0.
z**2/4
Let i = -201 - -205. Let y be 34/187*11/i. Factor 0*t**2 - t + t**3 + y - 1/2*t**4.
-(t - 1)**3*(t + 1)/2
Let z(l) = -39*l**4 + 1809*l**3 - 23484*l**2 + 123750*l - 226857. Let w(y) = y**4 + y**3 - y**2 + 2. Let x(d) = -9*w(d) + z(d). Factor x(h).
-3*(h - 5)**2*(4*h - 55)**2
Let t = 73 - 67. Factor -2*n**2 + 10 - t*n - 4 + 16 + 26*n.
-2*(n - 11)*(n + 1)
Let s(a) be the third derivative of -1/6*a**7 + 0*a + 7/12*a**5 + 5/12*a**4 + 0 - 5/112*a**8 + 34*a**2 + 1/24*a**6 + 0*a**3. Find w, given that s(w) = 0.
-2, -1, -1/3, 0, 1
Suppose 7*m - 6*m + 308 = 23*m. Let u(d) be the first derivative of -m - 7/18*d**3 + 1/6*d**2 + 0*d. Suppose u(t) = 0. What is t?
0, 2/7
Let z be (-5 - 0)/(-5) - -5*2. Determine k so that 110*k - 4*k**5 + 24*k**4 - 80*k**2 + k**3 + z*k**3 - 62*k = 0.
-2, 0, 1, 6
Let j be (-76)/(-18) + (-38)/171. Factor 4 + j*a**3 - 7*a**2 - 2*a**2 - 2*a - 3*a**2 - 2*a**3 + 8.
2*(a - 6)*(a - 1)*(a + 1)
Suppose 3*w + 90 = -3*i, 0 = -4*w - 6 + 2. Let d be (0/1)/(i + 31). Suppose 4/3*k + 2/9*k**4 + d + 16/9*k**3 + 26/9*k**2 = 0. Calculate k.
-6, -1, 0
Let v(z) be the third derivative of -z**5/300 + 79*z**4/30 - 12482*z**3/15 - 20*z**2 - z. Factor v(u).
-(u - 158)**2/5
Let c(y) be the second derivative of -2/15*y**6 - 22/3*y**3 + 0 + 7/10*y**5 + 8*y**2 + 27*y + 3/2*y**4. Suppose c(q) = 0. Calculate q.
-2, 1/2, 1, 4
Let c be 78/28 - (-90)/420. What is y in 0 + 0*y + 1/4*y**c - 1/2*y**2 = 0?
0, 2
Let g(b) = b**2 + 29*b + 110. Let p be g(-33). Suppose -242 + 7*w**4 + p - 42*w**2 - 5*w + 51*w**3 - 11*w = 0. What is w?
-8, -2/7, 0, 1
Factor 18*b + 3/4*b**4 - 9/2*b**3 - 27 + 15/4*b**2.
3*(b - 3)**2*(b - 2)*(b + 2)/4
Let u(x) = 6*x**2 + 359*x + 640. Let y be u(-58). Find v, given that 0 - 4/5*v + 6/5*v**y - 2/5*v**3 = 0.
0, 1, 2
Factor -1227 + 143*m**3 - 44853 - 77*m**3 + 97*m**3 - 4880*m**2 - 5*m**4 + 26880*m + 117*m**3.
-5*(m - 24)**2*(m - 4)**2
Let j be 11/6 + (80 - 38786/516). Factor -j + 14/3*w - 2/3*w**2.
-2*(w - 5)*(w - 2)/3
Let z(w) = 8*w**2 + 56*w + 3700. Let l(m) = 3*m**2 + 25*m + 1850. Let r(p) = 5*l(p) - 2*z(p). Factor r(g).
-(g - 50)*(g + 37)
Let v(a) be the second derivative of a**7/70 - a**6/25 - 9*a**5/100 + 2*a**4/5 - 2*a**3/5 - 714*a. Solve v(t) = 0 for t.
-2, 0, 1, 2
Let k(o) = 11*o**3 - 43*o**2 + 65*o + 91. Let y(t) = -31*t**3 + 128*t**2 - 193*t - 275. Let c(w) = -11*k(w) - 4*y(w). Factor c(g).
3*(g - 11)*(g - 3)*(g + 1)
Let j(p) be the first derivative of -3*p**2/2 + 108*p + 175. Let k be j(35). Let 5*m + 1 + m**k + 17/4*m**2 = 0. What is m?
-2, -1/4
Factor -572/5 + 14*s - 2/5*s**2.
-2*(s - 22)*(s - 13)/5
Let 2*v**3 - 6*v**3 - 12*v**2 - 51*v**2 + 0*v**3 + 5*v**3 = 0. What is v?
0, 63
Solve -2/15*i**3 + 0 - 4*i**2 + 2/15*i**4 + 0*i = 0 for i.
-5, 0, 6
Let y be ((-996)/83)/(3 + -9). Let f(g) be the second derivative of 10*g + 1/66*g**4 + 4/33*g**3 + 0 - 5/11*g**y. Find b, given that f(b) = 0.
-5, 1
Let i(u) = 2*u - 9. Let a be i(8). Suppose 4*r = a*r - 5*b - 194, 5*r + 2*b - 282 = 0. Let -20*l - 56*l**2 + 4*l + r*l**2 = 0. Calculate l.