-6). Let c = h + 848. Determine u, given that -u**2 - 3/4*u**3 + 0 + 1/4*u**4 + c*u = 0.
-1, 0, 4
Suppose -50*z + 40*z = 210. Let q be ((-552)/z)/8 - 3. Let 0 + 0*o**2 + q*o**3 + 0*o**4 + 0*o - 2/7*o**5 = 0. Calculate o.
-1, 0, 1
Determine q, given that 960*q**2 + 0 - 3/4*q**3 - 1917*q = 0.
0, 2, 1278
Let z = 270382 + -3514948/13. Let g be 20/(-6)*18/(-195). Let -z*x - 10/13*x**3 - 24/13*x**2 - g = 0. Calculate x.
-1, -2/5
Let h(d) = -4*d**2 + 11*d + 23. Let p(z) = -2*z**2 + 5*z + 13. Let r(o) = 6*h(o) - 10*p(o). Let b(x) = -x - 2. Let f(m) = -4*b(m) - r(m). Factor f(k).
4*k*(k - 3)
Let o be (-46)/(-40) + (-28)/16 + 1. Let w be 23/7 + (-204)/28 + 7. Factor -o*i**w - 6/5*i - 6/5*i**2 - 2/5.
-2*(i + 1)**3/5
Let p(x) be the second derivative of -75*x**4/8 - 35*x**3 - 49*x**2 + 39*x - 16. Solve p(g) = 0 for g.
-14/15
Let d be (((-120)/9)/(-5))/((-8)/(-12)). Suppose -d*s + 10*c - 7*c = -11, -c + 8 = s. Let -1/3*m**4 + 0*m + 0*m**2 - 1/6*m**3 + 0 - 1/6*m**s = 0. Calculate m.
-1, 0
Let o(x) be the first derivative of x**8/560 + 9*x**7/280 + x**6/8 - 5*x**5/8 - 37*x**3/3 - 201. Let a(w) be the third derivative of o(w). Factor a(t).
3*t*(t - 1)*(t + 5)**2
Let w(l) be the second derivative of l**4/20 - 59*l**3/6 - 99*l**2/5 + 338*l. Solve w(a) = 0 for a.
-2/3, 99
Let f(z) be the first derivative of -33/2*z**2 + 6*z + 260 - 45/4*z**4 - 28*z**3. Determine l so that f(l) = 0.
-1, 2/15
Let w = 3979 - 3964. Let i(s) be the third derivative of 0*s**3 + 0*s**4 - w*s**2 + 0 + 1/150*s**5 + 0*s - 1/300*s**6. Suppose i(x) = 0. Calculate x.
0, 1
Suppose 5*a - 218*j - 262 = -221*j, 5*a - 3*j - 238 = 0. Suppose 5*w = 30*w - a. Find h such that -9/2*h - 6 - 3/4*h**w = 0.
-4, -2
Let s(d) be the third derivative of -d**6/300 - 2*d**5/75 - d**4/60 + 2*d**3/5 + 2*d**2 + 588. What is b in s(b) = 0?
-3, -2, 1
Let o be ((-290)/(-174))/(20/(-128))*6/(-28). Let -4/7*w - 4/7*w**2 + 1/7*w**3 + o = 0. What is w?
-2, 2, 4
Let c(p) be the third derivative of p**5/360 - 5*p**4/24 - 16*p**3/9 - 118*p**2 - 2*p. Factor c(s).
(s - 32)*(s + 2)/6
Let y = -1939 - -1937. Let x be 2/(-13)*31 - (y + -4). Suppose -2/13*b**2 - 12/13*b - x = 0. Calculate b.
-4, -2
Let p(f) = 25 - 1 - 19*f + 0*f**2 - f**2 + 7*f**2. Let c(n) = -3*n**2 - 280 + 11*n - 2*n + 268. Let b(j) = -5*c(j) - 3*p(j). Determine y, given that b(y) = 0.
2
Let y be (-3)/75*1050/(-140). Let r(u) be the first derivative of y*u**5 + 3*u**2 + 0*u + 4*u**3 + 15/8*u**4 - 32. Factor r(m).
3*m*(m + 1)*(m + 2)**2/2
Suppose 0 = 2*y + i - 330, 4*i - i - 170 = -y. Suppose 3*w = -4*h + 3173, h - 638 = w + y. Factor n + 795*n**3 + 0*n - h*n**3 + n.
-2*n*(n - 1)*(n + 1)
Let a(i) be the first derivative of -i**5/15 - 131*i**4/12 - 1408*i**3/3 + 726*i**2 + 7751. Let a(c) = 0. Calculate c.
-66, 0, 1
Let r(d) be the third derivative of d**6/360 + 103*d**5/180 - 13*d**4/9 - 3518*d**2. Determine h so that r(h) = 0.
-104, 0, 1
Let x(z) be the third derivative of 0 - z + 16*z**2 + 5/54*z**4 - 7/9*z**3 - 1/270*z**5. Find y such that x(y) = 0.
3, 7
Let n(k) be the first derivative of 3*k**5/5 + 15*k**4 + 69*k**3 + 123*k**2 + 96*k + 4724. Determine i, given that n(i) = 0.
-16, -2, -1
Let u(c) = 24*c**3 - 10*c**2 - 27*c - 33. Let z(o) = 11*o**3 - 4*o**2 - 14*o - 14. Let h(w) = -6*u(w) + 13*z(w). Factor h(s).
-(s - 4)*(s - 2)**2
Let u(x) be the first derivative of 22/3*x**3 + 9*x**2 + 19/18*x**4 - 99 + 0*x + 2/45*x**5. Factor u(t).
2*t*(t + 1)*(t + 9)**2/9
Let j(d) be the third derivative of -d**5/12 + 1155*d**4/2 - 1600830*d**3 + 1184*d**2. Factor j(w).
-5*(w - 1386)**2
Suppose -2*k = -2, -3*l - 2*l - 4*k + 34 = 0. Suppose 6 = -53*v + l. Determine z, given that -5/4*z + v + 5/4*z**2 = 0.
0, 1
Let o(w) = w**2 - 5*w - 4. Let c be o(6). Let b(l) = 260*l - 1100. Let t be b(6). Solve -6 + 451*h - h**c - 2*h**2 - t*h = 0 for h.
-2, -1
Let s(g) be the first derivative of 0*g - 3/4*g**2 - 20 - 3/20*g**5 - 17/12*g**3 - 15/16*g**4 + 1/24*g**6. Solve s(z) = 0 for z.
-1, 0, 6
Let n(y) be the second derivative of -y**7/70 + 9*y**5/20 + y**4/2 - 6*y**3 - 88*y**2 - 44*y - 2. Let x(q) be the first derivative of n(q). Factor x(d).
-3*(d - 3)*(d - 1)*(d + 2)**2
Let j(n) be the first derivative of 5*n**6/6 - 58*n**5 + 140*n**4 + 10*n**3/3 - 565*n**2/2 + 280*n - 723. Factor j(f).
5*(f - 56)*(f - 1)**3*(f + 1)
Let a(l) be the first derivative of 3*l + 18*l**3 - 26*l**3 + 15 - 4 + 7*l**3. Let a(b) = 0. What is b?
-1, 1
Let l(z) be the first derivative of 4*z**3/3 - 9986*z**2/5 - 7992*z/5 - 8196. Determine b so that l(b) = 0.
-2/5, 999
Suppose 31*b = 14*b + 51. Factor 60*s + 15*s**3 + 10*s**b + 34*s**2 - 23*s**3.
2*s*(s + 2)*(s + 15)
Let t be -5 - ((-143)/13 - -4*1). Determine o so that 0*o**3 + 15*o**3 - 5*o**2 + 5*o**4 + 15*o**t = 0.
-2, -1, 0
Let z(x) = -2*x**3 + 10*x**2 - 4*x - 2. Let h(n) = n**4 - 4*n**3 + 20*n**2 - 7*n - 5. Suppose 0 = -11*a - 10 - 12. Let v(c) = a*h(c) + 5*z(c). Factor v(l).
-2*l*(l - 1)**2*(l + 3)
Find c, given that 153*c**3 + 3*c**4 - 925*c + 13*c**3 - 154*c**3 - 164*c**2 - 545*c - 109*c**2 = 0.
-7, 0, 10
Let f = 624 + -153. Factor -4 + 463*k + 4*k**4 - 920*k + f*k - 2*k**5 - 16*k**2 + 4*k**3.
-2*(k - 1)**4*(k + 2)
Let a = 5429 - 10843/2. Let x(s) be the first derivative of 10 + 12*s + a*s**2 + s**3. Factor x(m).
3*(m + 1)*(m + 4)
Let o(v) = 3028*v**2 - 2655*v + 582. Let f(t) = 3027*t**2 - 2650*t + 580. Let n(d) = -3*f(d) + 2*o(d). Solve n(y) = 0.
24/55
Let v(k) be the first derivative of -16*k**5/3 - 10*k**4/3 - 5*k**3/6 + 56*k**2 + 37. Let s(p) be the second derivative of v(p). Factor s(z).
-5*(8*z + 1)**2
Suppose -5*j + 194 = -6*v + 4*v, -3*v = -9. Let u = -37 + j. Let -4*b**3 + 7*b**u - 6*b**2 - 3*b**3 + 2*b**3 = 0. What is b?
0, 3
Factor 451*p**2 + 469*p**2 + 426*p - 1390*p**2 + 467*p**2.
-3*p*(p - 142)
Suppose p - 8 = -3*p. Suppose -p*v - 2*v - 4*x + 16 = 0, x = v - 10. Suppose v*t**5 + 7*t**3 - 3*t**5 + 0*t**2 - 8*t**2 - 19*t**3 = 0. Calculate t.
-1, 0, 2
Let u(v) be the first derivative of -477*v**4/20 + 161*v**3/5 + 474*v**2/5 - 12*v/5 - 6674. Let u(k) = 0. What is k?
-1, 2/159, 2
Let n(u) be the second derivative of u**6/6 - 11*u**5/4 + 95*u**4/6 - 100*u**3/3 - 188*u + 7. Factor n(d).
5*d*(d - 5)*(d - 4)*(d - 2)
Solve 22/3*q**3 - 64/3*q - 1/3*q**4 - 44/3 + q**2 = 0 for q.
-1, 2, 22
Let c(g) be the first derivative of -210 - 7/5*g**4 + 8/5*g**2 - 16/5*g**3 + 64/5*g - 4/25*g**5. Solve c(m) = 0 for m.
-4, -2, 1
Let b be (30/(-27))/((-6)/27). Find n, given that 29*n + 115*n - 48 + 16*n**3 - 27*n**b - 15*n**3 + 312*n**2 - 75*n**4 + 71*n**3 = 0.
-2, -1, 2/9, 2
Let z(y) = -y**2 + 299*y + 12062. Let h be z(335). Factor -2*r**h + 0 + 4/7*r.
-2*r*(7*r - 2)/7
Solve -2/9*o**2 + 68/9*o + 86 = 0 for o.
-9, 43
Let u = -26982/7 - -3855. Let b be ((-2)/3)/(14/(-36)). Suppose -u*t**2 - b - 15/7*t = 0. Calculate t.
-4, -1
Factor -163 + 76*p + 25 - 17*p + 86*p + 3*p**2 + 60*p.
(p + 69)*(3*p - 2)
Let j(u) = 11*u**3 - 628*u**2 - 5144*u - 10307. Let k(w) = -8*w**3 + 628*w**2 + 5136*w + 10306. Let r(x) = -2*j(x) - 3*k(x). Determine z, given that r(z) = 0.
-4, 322
Let b be 8/84 - 876/(-63) - 12. Find i, given that -15/2 - 4*i - 1/2*i**b = 0.
-5, -3
Factor 95/6*b - 5/6*b**2 + 50/3.
-5*(b - 20)*(b + 1)/6
Let k be 39040/(-336)*6/(-12). Let z = k + -402/7. Determine s so that -1/3*s**5 + z*s**2 + s - 2/3*s**3 - s**4 + 1/3 = 0.
-1, 1
Let r(b) be the third derivative of b**6/30 + 3*b**5/5 - 35*b**4/3 - 1252*b**2. Factor r(y).
4*y*(y - 5)*(y + 14)
Let b(y) be the first derivative of y**3 - 3447*y**2/7 + 1968*y/7 - 1425. Suppose b(c) = 0. What is c?
2/7, 328
Factor 480/7 - 62/7*k + 2/7*k**2.
2*(k - 16)*(k - 15)/7
Factor 83 + 66 + 4*l**2 + 24*l + 20*l + 141 - 170.
4*(l + 5)*(l + 6)
Let 87*p - 75*p - 13*p**3 - 2*p**2 + p**5 + p**4 + 2*p**2 - p**2 = 0. Calculate p.
-4, -1, 0, 1, 3
Let u(x) be the first derivative of x**6/1620 - x**5/270 - 2*x**4/27 - 11*x**3/3 - 36. Let y(r) be the third derivative of u(r). Factor y(v).
2*(v - 4)*(v + 2)/9
Suppose 3/4*z**3 + 27/4*z**2 - 45 - 12*z = 0. Calculate z.
-10, -2, 3
Let n(h) be the first derivative of 8*h + 40*h**3 + 42 + 26*h**2 + 64/5*h**5 + 32*h**4 + 2*h**6. Solve n(a) = 0 for a.
-2, -1, -1/3
Let c = 15230 + -15228. Let v(l) be the third derivative of -5/336*l**8 + 0*l**7 + 0*l**4 + 0*l + 1/24*l**6 + 0 - 15*l**c + 0*l**5 + 0*l**