Let x be (-53)/1 - (-28 - -38). Let c be -12*15/(-20) + x/9. Solve -1 + 1/2*h + 1/2*h**c = 0 for h.
-2, 1
Let h be 8 + -19 + 34422/27. Let j = 1265 - h. Factor -2/9*y**3 + 10/9 + 2/9*y - j*y**2.
-2*(y - 1)*(y + 1)*(y + 5)/9
Factor -1135*o**2 - 3*o**3 + 2299*o**2 + 2691*o**2.
-3*o**2*(o - 1285)
Solve -3 + 40*q**2 - 14*q**2 - 171*q + 43 + 2*q**3 + 115*q - 12*q**2 = 0.
-10, 1, 2
Find p, given that -1908*p**2 + 7 + 6 + 1968*p**2 + p**5 - 60*p**4 - p**3 - 13 = 0.
-1, 0, 1, 60
Let a = -552295/6 - -92258. Let c = a - 208. Find q, given that 5/2*q - c*q**2 - 5/3 = 0.
1, 2
Determine q so that 4415*q - 14*q**2 - 19*q**2 - 17*q**2 + 46*q**2 - 507*q = 0.
0, 977
Let n = -8494 - -8497. Let h(z) be the first derivative of -6*z**n - 3/4*z**4 - 27/2*z**2 + 0*z - 5. Let h(o) = 0. What is o?
-3, 0
Let v = 1886 - 1874. Let h be (v/(-35))/(12/80*-4). Solve 2/7*s**5 + 12/7 - 12/7*s**3 - 38/7*s - h*s**4 + 40/7*s**2 = 0 for s.
-3, 1, 2
Let l(w) be the first derivative of -w**5/5 + 7*w**4/2 - 23*w**3 + 70*w**2 - 100*w - 303. Factor l(g).
-(g - 5)**2*(g - 2)**2
Let q(s) be the third derivative of s**6/660 - 91*s**5/330 + 2*s**4/3 + 60*s**3/11 + 415*s**2 + s - 5. Factor q(o).
2*(o - 90)*(o - 2)*(o + 1)/11
Let r be 663/816 + -1 + 2/((-32)/(-15)). Factor 1/2 + r*c**3 - 1/4*c**2 - 3/4*c - 1/4*c**4.
-(c - 2)*(c - 1)**2*(c + 1)/4
Let u(q) = -3*q**3 + 2849*q**2 - 2013558*q + 2010722. Let c(x) = x**3 - 6*x**2 - x + 1. Let h(v) = -2*c(v) - u(v). Factor h(w).
(w - 1418)**2*(w - 1)
Let w be ((-1595)/(-957))/(5/12). Find c, given that -2/7*c**2 - 14 + w*c = 0.
7
Let p(g) be the first derivative of 26*g**2 + 183 + 2/9*g**3 + 1014*g. Factor p(t).
2*(t + 39)**2/3
Suppose 0 = 4*k, -3*k + 0 = 2*h - 6. Factor d**2 - h*d**2 - d**2 - 32*d - 61*d.
-3*d*(d + 31)
Let i(n) = -4*n**3 - 37*n**2 - 243*n - 213. Let c(m) = 9*m**3 + 75*m**2 + 484*m + 425. Let r(q) = 3*c(q) + 7*i(q). Factor r(p).
-(p + 1)*(p + 9)*(p + 24)
Suppose 4*k - 64 = -28*k. Let -146*m**3 - 4*m + 436*m**3 - 141*m**3 + k*m**2 - 147*m**3 = 0. What is m?
-2, 0, 1
Let t(y) be the third derivative of -y**7/4200 + y**6/150 - 7*y**5/200 + 17*y**4/8 + 53*y**2. Let f(m) be the second derivative of t(m). Factor f(c).
-3*(c - 7)*(c - 1)/5
Let t(v) be the second derivative of v**5/100 - 3*v**4/4 + 189*v**3/10 - 2187*v**2/10 - 2*v + 1072. Solve t(w) = 0 for w.
9, 27
Let l(j) be the first derivative of j**6/720 - 7*j**5/180 + 2*j**4/9 + 32*j**3/9 + 13*j**2/2 - 22. Let v(b) be the second derivative of l(b). Factor v(h).
(h - 8)**2*(h + 2)/6
Determine h so that -1/7*h**5 - 1/7*h - 37/7 + 74/7*h**2 + 2/7*h**3 - 37/7*h**4 = 0.
-37, -1, 1
Let u(l) be the second derivative of 11 + 20/3*l**2 - l - 1/18*l**4 - 1/9*l**3. Suppose u(t) = 0. What is t?
-5, 4
What is s in 3866/11*s + 1548/11 - 10/11*s**2 = 0?
-2/5, 387
Solve -56 + 2/3*s**2 - 50/3*s = 0.
-3, 28
Suppose -7*v - 1 + 15 = 0. Let l be -2*((-82)/164)/((-7)/(28/(-8))). Factor 1/4*k**v + 1/4 - l*k.
(k - 1)**2/4
Let y(p) be the second derivative of 0*p**2 - 1/45*p**6 + 1/30*p**5 + 0*p**3 - 1/63*p**7 + 2 - p + 1/18*p**4. Factor y(f).
-2*f**2*(f - 1)*(f + 1)**2/3
Find q, given that 0 - 80*q - 1252/9*q**2 + 14/9*q**3 = 0.
-4/7, 0, 90
Let i(f) = 40*f - 2792. Let v be i(70). Let y(h) be the first derivative of 0*h**2 + 2/21*h**3 + 0*h + v. Factor y(z).
2*z**2/7
Let -25508/3*q**2 - 2096/3 - 14648/3*q + 98*q**3 = 0. What is q?
-2/7, 262/3
Let v = -18958 + 18962. Let t(q) be the third derivative of 3*q**3 - 11*q**2 + 1/2*q**v + 0 + 0*q + 1/30*q**5. Determine k, given that t(k) = 0.
-3
Let a = 591686/7 - 84519. Let -22/7*l - 4*l**3 - 3/7 + a*l**2 = 0. What is l?
-3/28, 1
Let x be (553/(-632))/((-1)/8). Let c(m) be the second derivative of 0 - 41*m + 15/2*m**2 - 3/4*m**4 - x*m**3. Factor c(i).
-3*(i + 5)*(3*i - 1)
Let a(i) = 2290*i + 2. Let r be a(0). Let y(h) be the first derivative of -13/7*h**r + 12/7*h + 51 - 52/21*h**3 - 1/2*h**4. Find u such that y(u) = 0.
-3, -1, 2/7
Let n = -2519914/15 - -504008/3. Factor 122/5*u - 12/5 + n*u**2.
2*(u + 3)*(21*u - 2)/5
Factor -2750277*x - 207104 + 22144 - 41546306*x**3 + 4653290*x**4 - 49922920*x**2 - 22994*x**5 - 2515643*x - 115562034*x**3 - 11301*x**5.
-5*(x - 68)**2*(19*x + 2)**3
Let u(o) = -o**2 - 41*o - 179. Let y be u(-6). Factor 28*j - 13*j**2 + 15 - 7*j**2 - 45 - 9*j**2 + y*j**2.
2*(j - 1)*(j + 15)
Let q(m) be the third derivative of -2*m**7/105 - 11*m**6/6 + 23*m**5/3 + 55*m**4/6 - 76*m**3 + 792*m**2 - 4*m. Determine c so that q(c) = 0.
-57, -1, 1, 2
Let s = 75 - 65. Factor 23428*c**4 - 23431*c**4 - 969*c**2 + 9*c**3 - s*c**3 - 104*c**3 - 867*c.
-3*c*(c + 1)*(c + 17)**2
Let n(k) = 6*k**2 - 5*k + 9. Let i(y) = 4*y**2 - 9*y + 13. Let c(d) = d**2 - 2*d + 3. Let s(a) = -9*c(a) + 2*i(a). Let t(r) = n(r) + 5*s(r). Factor t(o).
(o - 4)*(o - 1)
Suppose 5*d + 4*z = 43, 4*d - 20 = 3*z + 2. Let h = 12 - d. Determine l so that -87*l**3 - 24*l**2 - 24*l**4 - 38*l**3 + 81*l**3 - 4*l**h = 0.
-3, -2, -1, 0
Let f = 106871/4 + -26717. Let u(y) be the second derivative of 0 - 9/2*y**3 + 30*y + 15/2*y**2 + 3/20*y**5 + f*y**4. Find q such that u(q) = 0.
-5, 1
Let s = 104752/13 + -523474/65. What is m in -s*m - 16/5 + m**4 + 11/5*m**2 - 1/5*m**5 + 23/5*m**3 = 0?
-2, -1, 1, 8
Let d be (-27145)/(-8010) - (-182)/(-63). Suppose -d*t**2 + 9/2 - 9/2*t + 1/2*t**3 = 0. What is t?
-3, 1, 3
Factor 139774 + 5946*i + 2*i**3 + 1253*i - 46462 + 577*i + 216*i**2.
2*(i + 36)**3
Find j, given that 45*j**3 - 15*j - 15*j**2 - 62*j**4 + 77*j**4 - 2*j**5 + 4*j**5 - 5*j**5 - 27*j = 0.
-2, -1, 0, 1, 7
Let x(c) be the first derivative of c**6/3060 + 7*c**5/510 - 26*c**3/3 + 15. Let r(h) be the third derivative of x(h). Determine q, given that r(q) = 0.
-14, 0
Let n(y) be the first derivative of -y**6/15 - y**5/2 - 4*y**4/3 - 4*y**3/3 - 21*y - 24. Let j(u) be the first derivative of n(u). Factor j(s).
-2*s*(s + 1)*(s + 2)**2
Let g(f) be the first derivative of -f**7/1050 + f**6/300 + f**5/100 + 49*f**2 - 46. Let z(c) be the second derivative of g(c). What is r in z(r) = 0?
-1, 0, 3
Let c be ((-5)/(30/33))/(2/(-4)). Suppose 0 = v - 13 + c. Suppose -95 - 3*n**4 + 49 - 3*n + 3*n**v + 3*n**3 + 46 = 0. What is n?
-1, 0, 1
Let a = 2157304/3 - 719074. Factor -880/3*y**2 + 0 + 800/3*y - 2/3*y**4 + a*y**3.
-2*y*(y - 20)**2*(y - 1)/3
Let r(v) be the first derivative of -3*v**5/35 - 9*v**4/7 + 69*v**3/7 + 210*v**2 + 2700*v/7 + 9421. Suppose r(k) = 0. What is k?
-10, -1, 9
Solve 5075*m**2 + 1163 - 56887*m + 46722*m + 3922 + 5*m**3 = 0 for m.
-1017, 1
Suppose 5*p - 13 = -3*j, -32 = p - 5*p + 3*j. Let y = -255 - -257. Factor -d**3 + d**2 + p*d**y - 8*d**2 + d**4.
d**2*(d - 2)*(d + 1)
Suppose 0 = -395*f + 97051 - 96261. Suppose 18/7*o**f + 708/7*o + 6962/7 = 0. Calculate o.
-59/3
Let b(a) be the first derivative of 3/8*a**2 - 33 - 3/16*a**4 - 1/12*a**3 + 1/20*a**5 + 0*a. Suppose b(y) = 0. Calculate y.
-1, 0, 1, 3
Let c(w) be the second derivative of w**7/56 - 3*w**6/8 + 33*w**5/20 + 31*w**4/4 - 24*w**3 - 96*w**2 - 9*w + 2. Solve c(f) = 0 for f.
-2, -1, 2, 8
Let n = -501397 - -501403. Factor 63/5*z + n + 3/5*z**3 + 36/5*z**2.
3*(z + 1)**2*(z + 10)/5
Let x(y) be the third derivative of -y**8/4320 + y**7/378 + y**6/360 + 53*y**5/60 - 24*y**2. Let q(o) be the third derivative of x(o). Factor q(c).
-2*(c - 3)*(7*c + 1)/3
Suppose -4*z = -5*s - 42, 31*z - 35*z = -s - 50. Suppose 8*l - 3*l**2 + 10*l + 4 + 0*l - z - 15 = 0. Calculate l.
2, 4
Let l be (-98)/(-35) - 7/(-35). Solve -5*x**4 - 11*x**2 + 15*x**l + 28*x**2 + 10*x**2 - 243*x + 6*x**4 - 4*x**4 + 324 = 0 for x.
-4, 3
Let q(i) be the third derivative of -i**5/12 - 5*i**4/4 + 45*i**3/2 - 36*i**2 - 8. Factor q(h).
-5*(h - 3)*(h + 9)
What is z in -2292*z**4 - 56280 - 4*z**5 - 981544*z**2 - 169876 - 976980*z - 331752*z**3 - 12943 - 85801 = 0?
-285, -1
Let s(y) be the second derivative of y**4/18 + 334*y**3/9 + 27889*y**2/3 - 1375*y. Find a such that s(a) = 0.
-167
Let g be 1/(865/175 + 124/2170). Factor -9/5*j - 6/5*j**2 - 4/5 - g*j**3.
-(j + 1)**2*(j + 4)/5
Let y(m) = 6 - 4 - m + 3 - m**2. Let t be y(0). Determine v so that -2*v**5 - v**t + 7*v**5 = 0.
0
Let q be 3 + 29451/(-2754) - -6. Let l = -47/54 - q. Factor 0 - 2/17*u - l*u**2.
-2*u*(7*u + 1)/17
Let w(i) = -i**3 + 17*i**2 - 17*i + 46. Let r be w(16). Let u be 176/r - (-5 + (-42)/(-10)). Factor 12*o + u*o**3 + 8/