, 1, 2
Let x be 8*3 + -1441*(-106)/(-6413). Determine n so that -50/11*n + 20/11*n**2 + 0 - x*n**3 = 0.
0, 5
Let t(m) = -6*m**2 + 2613*m - 610203. Let h(j) = 5*j**2 - 2644*j + 610203. Let i(z) = -3*h(z) - 2*t(z). Find f, given that i(f) = 0.
451
Let h(r) be the third derivative of r**6/360 + 37*r**5/180 + 127*r**4/72 - 55*r**3/6 - r**2 + 35*r. Suppose h(a) = 0. Calculate a.
-33, -5, 1
Let f(p) be the first derivative of -512/9*p - 32/9*p**2 + 4 - 2/27*p**3. Solve f(r) = 0.
-16
Let u(x) be the third derivative of -x**7/1050 + 73*x**6/600 + 383*x**5/300 + 181*x**4/40 + 39*x**3/5 - 1302*x**2. Determine l, given that u(l) = 0.
-3, -1, 78
Let g(l) be the second derivative of -13*l**6/10 - 12*l**5 - 42*l**4 - 64*l**3 - 24*l**2 - 4654*l. Factor g(c).
-3*(c + 2)**3*(13*c + 2)
Let u(z) = -2*z**2 - 6*z + 4. Let r be u(-3). Let 1169*l**2 - 2345*l**2 + 1176*l**2 + 8*l**4 - r*l**5 - 4*l**3 = 0. What is l?
0, 1
Find y, given that -734/9*y**2 + 2*y**3 + 0 - 164/9*y = 0.
-2/9, 0, 41
Let f(i) be the third derivative of -i**8/131040 + i**7/4680 - i**6/468 + 16*i**5/15 + 14*i**2 - 5*i. Let y(t) be the third derivative of f(t). Factor y(w).
-2*(w - 5)*(w - 2)/13
Let a be (-3)/(-12) + 35/20. What is m in 4*m**3 + 2*m**a - m**3 + 4*m**2 - 8 - m**3 = 0?
-2, 1
Determine l so that 2*l**2 + 68/3*l + 35/3*l**4 - 2*l**5 - 40/3 - 61/3*l**3 = 0.
-1, 5/6, 2
Let -249/7*p**4 + 26940/7*p**2 + 23232/7 + 4512/7*p**3 + 3/7*p**5 + 45408/7*p = 0. What is p?
-2, -1, 44
Let y(r) be the third derivative of -r**5/35 + 55*r**4/12 - 64*r**3/21 + 26*r**2 - 4. Factor y(w).
-2*(w - 64)*(6*w - 1)/7
Determine i so that -751538/19 - 7356/19*i - 18/19*i**2 = 0.
-613/3
Let j = 1565 - 3129/2. Let k be ((-9)/(-15))/((-6)/(-5)). Find z, given that -1/8*z**2 + j*z**3 + 1/8 - k*z = 0.
-1, 1/4, 1
Let k(p) be the second derivative of -p**7/112 + 3*p**6/80 + 177*p**5/160 + 105*p**4/32 + 25*p**3/8 - 22*p - 9. Find y, given that k(y) = 0.
-5, -1, 0, 10
Solve -121836*r**2 - 11451440*r - 1/2*r**4 - 428*r**3 + 23393656 = 0.
-286, 2
Factor 64*i - 55*i**2 + 2*i**4 - 2*i**3 + 3*i**2 + 46*i + 58*i - 144.
2*(i - 3)*(i - 2)**2*(i + 6)
Determine g, given that -112/3*g + 0 + 148/9*g**2 + 14/9*g**3 - 2/9*g**4 = 0.
-7, 0, 2, 12
Let q(v) be the third derivative of v**5/390 - v**4/12 + 14*v**3/13 - 126*v**2. Let q(j) = 0. Calculate j.
6, 7
Solve -44*b - 32/5*b**3 + 0 + 2/5*b**4 - 254/5*b**2 = 0.
-5, -1, 0, 22
Let u be 2/14*(6634/310 + -20). Factor u*x**2 + 0*x + 0.
x**2/5
Suppose 0 = 2*t - 745 - 25. Determine l so that -8 + t*l**3 - 6*l**2 - 18*l - 383*l**3 - 2 = 0.
-1, 5
Let w(m) be the first derivative of -2*m**6/3 - 172*m**5/5 - 482*m**4 - 1592*m**3/3 + 966*m**2 + 1764*m + 590. Determine o, given that w(o) = 0.
-21, -1, 1
Let f be (41/(-11))/41 - 14/(-33). Let l(u) be the second derivative of -f*u**3 + u**2 + 0 - 3/10*u**5 - 19*u - 5/6*u**4. Factor l(y).
-2*(y + 1)**2*(3*y - 1)
Let t(m) be the first derivative of -m**6/2 + 12*m**5/5 - 3*m**4/4 - 6*m**3 + 782. Determine x, given that t(x) = 0.
-1, 0, 2, 3
Let u(m) be the first derivative of 0*m**2 - 25/4*m**4 - 5/6*m**6 - 6*m**5 + 0*m**3 - 31 + 0*m. Solve u(o) = 0 for o.
-5, -1, 0
Factor -196369 + 1672*n + 174*n**2 - 172*n**2 + 545817.
2*(n + 418)**2
Let q(s) be the third derivative of 100/3*s**3 + s**2 + 0 + 1/12*s**5 + 35/12*s**4 + 91*s. Solve q(p) = 0 for p.
-10, -4
Let a(r) = -r**2 + 11*r + 42. Let y be a(14). Find s, given that 105*s**3 - s + y*s**2 - 10*s**4 + s + 5*s - 60 + 84*s**2 + 96*s**2 = 0.
-1, 1/2, 12
Suppose 27633*j + 404 = 14016*j + 13819*j. Factor 2/3*q**j + 14/3*q + 20/3.
2*(q + 2)*(q + 5)/3
Suppose 12*n = -11*n + 230. Suppose -7*w + n = -2*w. Factor 54 + 3/2*u**w + 18*u.
3*(u + 6)**2/2
Let d(r) be the first derivative of 0*r + 1/10*r**4 + 2/5*r**2 - 140 + 2/5*r**3. Suppose d(y) = 0. What is y?
-2, -1, 0
Factor 9155*d - 4505*d + 5*d**2 - 4485*d.
5*d*(d + 33)
Let n be ((2 - -1) + 0)*(7 - 6). Suppose 0 = 5*p - p, -n*p = -c + 2. Suppose 11*d**2 + 7 + 3*d**3 + 4*d**c - 7 = 0. Calculate d.
-5, 0
Let g(d) be the second derivative of d**9/5040 + d**8/320 + d**7/56 + 3*d**6/80 + d**4/12 - d + 73. Let i(m) be the third derivative of g(m). Factor i(l).
3*l*(l + 1)*(l + 3)**2
Let d(m) = -9*m - 6. Let r be d(-1). Suppose -8*v + c + 5 = -4*v, -5*v = -4*c - 20. What is l in 1/2*l**4 + 0*l + 0 + v*l**2 + l**r = 0?
-2, 0
Factor -50*d**4 + 2200 + 197*d**3 - 367*d**2 - 25*d**5 - 2660*d + 1097*d**2 + 13*d**5 + 7*d**5 - 52*d**3.
-5*(d - 2)**3*(d + 5)*(d + 11)
Let d = 116 + -139. Let l = 24 + d. Factor -28*m**3 + l - 48*m**2 - 1 + 16*m + 0.
-4*m*(m + 2)*(7*m - 2)
Let l(v) be the first derivative of -v**9/24192 + v**7/6720 + 23*v**3 + 48. Let k(r) be the third derivative of l(r). Find z, given that k(z) = 0.
-1, 0, 1
Let s = -7 + 9. Suppose -15*d + 308 = -26*d. Let n(w) = 16*w**2 - 4*w - 6. Let b(a) = a**2 - a - 1. Let q(r) = d*b(r) + s*n(r). Suppose q(c) = 0. Calculate c.
-4, -1
Let n(g) be the second derivative of -5*g**7/42 - 7*g**6/3 - 23*g**5/2 + 50*g**4/3 + 595*g**3/6 - 245*g**2 + 1353*g. Let n(j) = 0. What is j?
-7, -2, 1
Solve -40*v - 1/7*v**3 + 37/7*v**2 - 1200/7 = 0.
-3, 20
Let h = 958 - 962. Let s be (-14)/h*(-420)/(-196). Determine g so that 9/2*g + 11/2*g**3 - 1 - 3/2*g**4 - s*g**2 = 0.
2/3, 1
Let u be (48/(-14) + 3)*((-204)/18 - (1 + -12)). Factor u*l**3 - 6/7*l**2 + 0 - 16/7*l.
l*(l - 8)*(l + 2)/7
Let z(v) be the second derivative of -v**6/24 + v**5/4 - 5*v**4/12 + 7*v**2 - 48*v. Let o(q) be the first derivative of z(q). Factor o(g).
-5*g*(g - 2)*(g - 1)
Let l(z) be the first derivative of z**5/10 - 5*z**4/2 + 77*z**3/6 - 11*z**2/2 - 60*z - 1117. Find h, given that l(h) = 0.
-1, 2, 4, 15
Let v(u) be the first derivative of -234848275*u**4/4 - 445210*u**3 - 1266*u**2 - 8*u/5 - 7315. Factor v(b).
-(1055*b + 2)**3/5
Let m(r) be the first derivative of -2*r**3/15 - 268*r**2/5 - 1064*r/5 + 1852. Solve m(f) = 0.
-266, -2
Let m(h) be the second derivative of -68 + 5/21*h**3 + 1/42*h**4 - 2*h + 0*h**2. What is d in m(d) = 0?
-5, 0
Let a(v) be the third derivative of -v**6/180 + 13*v**5/72 - 13*v**4/16 - 7*v**3/2 - 689*v**2. Let a(f) = 0. What is f?
-3/4, 3, 14
Let p(y) be the second derivative of -4/35*y**5 + 1/6*y**4 - 43*y + 0 + 1/35*y**6 + 0*y**2 - 2/21*y**3. Find q, given that p(q) = 0.
0, 2/3, 1
Let o(q) be the second derivative of -q**4/12 - q**3/6 - q**2/2 + 2*q. Let f = -997 + 993. Let g(i) = i**2 - 9*i - 4. Let p(y) = f*o(y) + g(y). Factor p(u).
5*u*(u - 1)
Let a(n) be the first derivative of 2*n**3/15 + 268*n**2/5 - 538*n/5 + 2233. Factor a(x).
2*(x - 1)*(x + 269)/5
Suppose -4*i = 2*u - 34, 3*u - 3194 + 3176 = 5*i. Factor 20*s**4 + 0 + 0*s + 1/2*s**5 + 0*s**i + 0*s**2.
s**4*(s + 40)/2
Let v(l) be the second derivative of l**8/672 - 13*l**6/240 - l**5/10 + l**2/2 - 2*l + 20. Let a(g) be the first derivative of v(g). Let a(f) = 0. Calculate f.
-3, -1, 0, 4
Let m(t) be the second derivative of 8*t**3 + 0 + 0*t**2 - 49/3*t**4 + 123*t + 8/15*t**6 + 3/5*t**5. Factor m(y).
4*y*(y - 3)*(y + 4)*(4*y - 1)
Let s(g) be the first derivative of 1/40*g**5 - 1/4*g**3 + 1/6*g**4 + 3/2*g**2 + 0*g - 17. Let x(l) be the second derivative of s(l). Let x(r) = 0. Calculate r.
-3, 1/3
Let b(t) be the second derivative of -t**6/75 - 121*t**5/50 - 473*t**4/30 - 587*t**3/15 - 234*t**2/5 - 210*t. Let b(g) = 0. What is g?
-117, -2, -1
Let g be 32/10*222/444. Let w(s) be the first derivative of 2/3*s**3 - g*s + 4/5*s**2 - 3/10*s**4 + 16. Find o such that w(o) = 0.
-1, 2/3, 2
Suppose 77 = 5*k + 4*b, 2*k - 5027*b - 49 = -5030*b. Determine t, given that 0 - t**2 + 0*t + 3/4*t**k - 9/4*t**3 + 5/2*t**4 = 0.
-4, -1/3, 0, 1
Let f(u) be the third derivative of u**8/192 - u**7/21 + 11*u**6/120 + u**5/15 - 487*u**2. Find q, given that f(q) = 0.
-2/7, 0, 2, 4
Factor 2*v**2 - 1/4*v**3 + 99/4*v + 45/2.
-(v - 15)*(v + 1)*(v + 6)/4
Let r(y) = -12*y**4 + 11*y**3 - 2*y**2 + 11*y. Let u(i) = -10*i**4 + 9*i**3 + i**2 + 10*i. Let x(n) = 4*r(n) - 5*u(n). Solve x(v) = 0.
-2, -1/2, 0, 3
Let a(x) be the third derivative of x**5/300 - 191*x**4/60 + 36481*x**3/30 - 152*x**2 - 6*x. Determine y, given that a(y) = 0.
191
Factor -5027 + 2605 - 2*p**2 + 476*p - 144*p - 11356.
-2*(p - 83)**2
Let j(b) be the third derivative of 5/24*b**4 + b + 0*b**3 - 1/6*b**5 + 1/21*b**7 + 0*b**6 + 0 - 5/336*b**8 + 6*b**2. Sup