x = 19*x. Let u be 2/19 - (51/(-57) + x). Find t such that 1/3*t**2 - 2/3*t - u = 0.
-1, 3
Determine w so that 2*w - 36/7 - 2/7*w**4 - 2*w**3 + 38/7*w**2 = 0.
-9, -1, 1, 2
Let r(w) = -18*w**3 - 222*w**2 - 841*w - 670. Let b(t) = -5*t**3 - 56*t**2 - 210*t - 168. Let p(x) = 22*b(x) - 6*r(x). Determine h so that p(h) = 0.
-3, -1, 54
Let c(i) = -3*i**3 - 5*i**2 - 13*i - 5. Let a(o) = -5*o**3 - 5*o**2 - 13*o - 4. Suppose -271*s + 6 = -273*s. Let n(p) = s*c(p) + 2*a(p). Solve n(v) = 0.
-1, 7
Suppose -q - 11 = -2*t - 3*t, -5*t + 27 = 3*q. Find w such that -16/3*w**4 + 36*w**t + 12 - 212/3*w**2 + 28*w = 0.
-1/4, 1, 3
Let b(l) be the second derivative of 0*l**2 - 2/21*l**7 - 8/3*l**6 - 6*l**4 + 0*l**3 + 288*l - 37/5*l**5 + 0. Let b(f) = 0. Calculate f.
-18, -1, 0
Let f be (11/(-99) - (-6)/(-27)) + 539/132. Let -f - 3*j + 9/2*j**3 + 21/4*j**2 = 0. Calculate j.
-1, 5/6
Let a(s) be the second derivative of -1/24*s**4 + 0 - 123*s - 2025/4*s**2 + 15/2*s**3. Factor a(d).
-(d - 45)**2/2
Factor 0 + 0*d - 2/7*d**4 + 236/7*d**3 - 464/7*d**2.
-2*d**2*(d - 116)*(d - 2)/7
Find r, given that r**2 - 2403859 + 830*r + 2405217 - 2189*r = 0.
1, 1358
Let w(l) be the second derivative of 1/36*l**5 - 1/9*l**2 + 0 - 1/270*l**6 - 57*l - 1/12*l**4 + 7/54*l**3. Factor w(k).
-(k - 2)*(k - 1)**3/9
Suppose 1264*f - 2844 - 1801 + 345 = 189*f. Factor s**3 + 0 + 1/6*s**f - 7/6*s**2 + 0*s.
s**2*(s - 1)*(s + 7)/6
Let c be (-55)/((-16335)/162) - 0. Factor 2/11*k**3 + c*k - 20/11 + 12/11*k**2.
2*(k - 1)*(k + 2)*(k + 5)/11
Let y(q) = -381*q**2 + 291*q - 6618. Let a(u) = -42*u**2 + u + 1. Let i(n) = 9*a(n) - y(n). Factor i(r).
3*(r - 47)**2
Suppose -4*x + 37 = -5*v, x - 2*v = -v + 8. Let o(w) be the first derivative of 384*w - 396*w + x*w**3 - 24*w**2 - 15 + 6*w**3. Factor o(p).
3*(p - 2)*(9*p + 2)
Suppose -175*w + 341 + 67 = -117. Let g(i) be the first derivative of -1/6*i**4 - i**2 + 10 + 2/3*i**w + 2/3*i. Find m such that g(m) = 0.
1
Suppose 46*y = -48*y. Let u(n) be the second derivative of y + 15*n + 0*n**2 - 1/15*n**6 - 2*n**3 - 2/5*n**5 + 11/6*n**4. Factor u(x).
-2*x*(x - 1)**2*(x + 6)
Let c(i) = -161161*i + 644656. Let r be c(4). Factor -24/7 - 90/7*g**2 + 27/7*g**3 + r*g.
3*(g - 2)*(3*g - 2)**2/7
Let v(t) be the second derivative of t**7/168 - 3*t**6/20 + 117*t**5/80 - 41*t**4/6 + 14*t**3 - 219*t + 1. Factor v(b).
b*(b - 7)*(b - 4)**2*(b - 3)/4
Let g(d) = 5*d**2 - 471*d + 1944. Let h(s) = 3*s**2 - 235*s + 972. Let z(w) = -4*g(w) + 7*h(w). Determine y so that z(y) = 0.
-243, 4
Let a(k) be the second derivative of -k**4/16 + 199*k**3/8 + 75*k**2 - 11*k + 15. Factor a(c).
-3*(c - 200)*(c + 1)/4
Let n be ((-18)/8)/9*-8. Let g be (-1 + 10)*2/6. Factor 29*b**g + 6*b - 18*b**3 + 16*b**2 + 16*b**3 + 17*b**n.
3*b*(b + 1)*(9*b + 2)
Let d be 6 - (-300)/27*(-7)/14. Factor d*g**3 + 2/9*g**4 - 2/9*g**2 - 4/9*g + 0.
2*g*(g - 1)*(g + 1)*(g + 2)/9
Suppose 4*o - 20 = 0, -3*o - 630 = -4*k - 5*o. Factor 14*n - k*n**2 + 167*n**2 - 4 - 2.
2*(2*n + 3)*(3*n - 1)
Let v = 1443 + -1441. Let a(u) be the first derivative of -3/16*u**4 - 3/2*u + v + 9/8*u**2 + 0*u**3. Suppose a(j) = 0. Calculate j.
-2, 1
Let a = 410 - 365. Factor -31 - 9 + 302*s + 18*s**2 - 347*s + 5*s**4 + 17*s**2 + a*s**3.
5*(s - 1)*(s + 1)**2*(s + 8)
Let m(z) be the third derivative of -z**8/560 + 6*z**7/175 - 27*z**6/200 - 20*z**2 + 32. Factor m(j).
-3*j**3*(j - 9)*(j - 3)/5
Let w(s) = 244*s - 316*s - 566*s - 21125 - 21*s**2 + 18*s**2. Let u(g) = -35*g**2 - 7650*g - 253500. Let h(f) = 2*u(f) - 25*w(f). Find l such that h(l) = 0.
-65
Factor 29*d**4 + d**5 + 16547*d**3 + 1963*d**2 + 3240*d - 16240*d**3 - 496*d**2 + 2700.
(d + 3)**3*(d + 10)**2
Find i such that 216*i**3 - 360*i - i**3 - 75*i**2 - 20*i**4 - 45*i**4 - 2*i**5 + i**5 + 6*i**5 = 0.
-1, 0, 3, 8
Let k = -7 + 10. Suppose 2*n + 24 = 4*p, k*n + 20 = 4*p + 2*n. Let 0 + 15/2*o**2 - 6*o**3 - 3/2*o**p + 0*o = 0. Calculate o.
-5, 0, 1
Let m(p) = p**3 + 18*p**2 + 62*p + 9. Let d be m(-10). Suppose -185*u = -d*u + 12. Solve 13/5*s**2 + 2*s**u + 36/5 - 12*s + 1/5*s**4 = 0.
-6, 1
Let j(n) be the third derivative of n**5/120 + n**4/8 - 7*n**3/12 + 7*n**2 - 8. Factor j(k).
(k - 1)*(k + 7)/2
Factor 1584/7*k - 313632/7 - 2/7*k**2.
-2*(k - 396)**2/7
Let s = -166 - -382. Factor 171 + 213 + 3*j**4 + s*j**2 + 181*j + 42*j**3 + 299*j.
3*(j + 2)*(j + 4)**3
Suppose 0 = 8*m - 12*m + 204. Determine p, given that m*p + 4*p**2 - 4*p**3 - 4 + 55*p - 102*p = 0.
-1, 1
Let t(d) be the first derivative of -3 + 1/7*d**3 + 1/14*d**4 + 1/7*d**2 + 1/70*d**5 + 28*d. Let n(c) be the first derivative of t(c). Factor n(h).
2*(h + 1)**3/7
Let k = 398 + -394. Find m such that -2*m**k - 10694*m**3 + 16*m**2 + 10694*m**3 - 32 = 0.
-2, 2
Let h(x) be the second derivative of -x**5/10 - 19*x**4/6 - 16*x**3 - 2*x - 64. Determine i so that h(i) = 0.
-16, -3, 0
Let a = -293210 - -879632/3. What is q in -2/5*q**2 - 2/3*q**3 - 2/15*q**4 + a*q + 8/15 = 0?
-4, -1, 1
Let a(s) = 3*s - 5. Let l be a(4). Suppose -5*n = -l*n + 16. Factor -6*x + n*x + 6*x**3 - 7*x**3 + x**2.
-x*(x - 2)*(x + 1)
Let s = 150028 + -150025. Suppose -133/2*a**s + 0 + 49/4*a**4 - 6*a - 41*a**2 = 0. What is a?
-2/7, 0, 6
Suppose 995 = -3*w + 1067. Let v be ((-6)/9)/((-32)/w). Find l, given that -1/2 + v*l**2 + 0*l = 0.
-1, 1
Let o = -2077729/9 - -231091. Let k = o + -232. Solve 8/9 + 2/3*t - k*t**2 = 0.
-1, 4
Suppose 19/2*u**4 + 33*u + 1/2*u**5 - 67/2*u**3 + 0 - 19/2*u**2 = 0. What is u?
-22, -1, 0, 1, 3
Let 1080 - 14490*b + 13530*b + 52*b**2 + 1224 + 4*b**3 = 0. Calculate b.
-24, 3, 8
Let p = 182 - 180. What is r in 57*r**3 + p*r**2 + 64*r**3 - 117*r**3 + 2*r**4 = 0?
-1, 0
Suppose 2 = 4*y - 2*b, 0 = y - 15*b + 11*b + 17. Let w(l) be the second derivative of -2/7*l**2 + 1/21*l**4 + 0*l**y + 23*l + 0. Factor w(h).
4*(h - 1)*(h + 1)/7
Let z(b) be the first derivative of -5*b**3/3 - 2355*b**2 - 1109205*b + 3379. Let z(h) = 0. What is h?
-471
Suppose 2*h - 2464 = 18*h. Let k = -114 - h. Suppose 0*j**2 + 20*j**3 + 0*j**4 + 0 - 5/2*j**5 - k*j = 0. Calculate j.
-2, 0, 2
Let u(n) = -28 - 2*n + 2*n - 2*n**2 + 15*n + 5*n. Let r be u(8). Determine z, given that r*z + 8*z + 2*z**2 - 6*z = 0.
-3, 0
Find n, given that 0*n - 3/8*n**5 + 3/4*n**4 + 0 - 3/4*n**2 + 3/8*n**3 = 0.
-1, 0, 1, 2
Let m(k) = k**2 - k. Let c = -297 - -296. Let h(j) = 2*j**3 - 7*j**2 - 7*j. Let b(a) = c*h(a) - 5*m(a). Factor b(i).
-2*i*(i - 3)*(i + 2)
Let h = 19789/484200 + 10/2421. Let m(b) be the third derivative of 13*b**2 + 21/100*b**5 + 2/5*b**3 + 0*b + 0 + 2/5*b**4 + h*b**6. Let m(n) = 0. What is n?
-1, -2/3
Let b(x) = -1 + x**5 + 0 + x**4 + 22*x**2 - 23*x**2. Let m(u) = -2*u**5 + 38*u**4 - 39*u**3 + 2*u**2 + 6*u - 5. Let g(c) = 5*b(c) - m(c). Factor g(k).
k*(k - 3)*(k - 1)**2*(7*k + 2)
Suppose -13*x + 24 = -x. What is g in -3*g + 2*g - 772*g**x - 6 + 773*g**2 + 0*g = 0?
-2, 3
Let l(a) be the first derivative of -2*a**5/15 + 28*a**4/3 - 1952*a**3/9 + 1792*a**2 - 6144*a + 3553. Suppose l(j) = 0. What is j?
4, 24
Let m(u) be the third derivative of -u**7/315 + u**6/180 + 11*u**5/90 - u**4/4 - 2*u**3 + 3634*u**2. Solve m(o) = 0 for o.
-3, -1, 2, 3
Factor -5/2*q**4 + 170*q + 675/2*q**2 + 165*q**3 + 0.
-5*q*(q - 68)*(q + 1)**2/2
Suppose -25*i + 14*i = 385. Let g be 0 - 2/(-5) - 42/i. Suppose -2*k**3 - g*k + 24/5*k**2 + 0 - 12/5*k**4 = 0. Calculate k.
-2, 0, 1/2, 2/3
Suppose -3*d + 36 = 3*m, -3*m - 325*d + 327*d = 14. Solve -4*o - 1/5*o**m - 20 = 0.
-10
Suppose 26*c = 3484 - 78. Let j = c + -131. Factor -2/21*k**4 - 4/21*k**3 + 0*k + j - 2/21*k**2.
-2*k**2*(k + 1)**2/21
Let p(g) be the first derivative of g**3/6 + 81*g**2/2 - 164*g + 696. Factor p(q).
(q - 2)*(q + 164)/2
Let h(w) = -53*w + 375. Let t be h(7). Let s(d) be the second derivative of 7/18*d**3 + 1/18*d**t + 0 + 2/3*d**2 + 11*d - 1/60*d**5. Factor s(o).
-(o - 4)*(o + 1)**2/3
Determine s so that -26/5*s**4 + 184/5 + 562/5*s**2 - 576/5*s**3 + 1296/5*s = 0.
-23, -1, -2/13, 2
Let v = 76258/31775 - -2/31775. Factor 0 - 18/5*a - v*a**2 - 2/5*a**3.
-2*a*(a + 3)**2/5
Let j(q) = 4*q**3 - q**2 - q - 2. Let n(s) = 8*s**3 - 71*s**2 - 171*s - 6. Let w(f) = 3*j(f) - n(f). Let w(a) = 0. Calculate a.
-14, -3, 0
Let n(a) be the second derivative of a**4/8 - 236*a**3 + 167088*a**2 + a - 400. Factor n(s).
3*(s - 472)**2/2
Let s(w) be the third derivative of -1/8