 22/5*i**2 + 0 + 7/5*i + 1/5*i**5 = 0.
0, 1, 7
Let o(k) be the first derivative of -18*k + 16 - 5/12*k**4 + 15/2*k**2 - 5/3*k**3. Let p(q) be the first derivative of o(q). Factor p(s).
-5*(s - 1)*(s + 3)
Let g(m) be the first derivative of m**6/18 + m**5/5 - m**4/12 - m**3/3 - 11. Factor g(v).
v**2*(v - 1)*(v + 1)*(v + 3)/3
Let b(y) be the first derivative of -2*y**5/35 - 3*y**4/4 + 11*y**3/21 + 6427. Factor b(i).
-i**2*(i + 11)*(2*i - 1)/7
Suppose 65 = -3*t + 2*x, 0*x - 75 = 3*t + 3*x. Let j = 25 + t. Let -2*q**j - 550*q + 0*q**2 + 546*q + 6 = 0. Calculate q.
-3, 1
Find r such that -160*r + 32/5 - 250*r**4 + 40*r**3 + 4992/5*r**2 = 0.
-2, 2/25, 2
Let t be 252/45 + 1 + 6*(2 - 3). Let w(r) be the first derivative of t*r**5 - 5 + 3*r**2 + 0*r + 3*r**4 + 5*r**3. Determine z, given that w(z) = 0.
-2, -1, 0
Suppose -2/15*s**4 + 2/3 + 28/15*s + 8/5*s**2 + 4/15*s**3 = 0. Calculate s.
-1, 5
Determine c so that -2*c**2 - 1691065 - 1829179 - 2*c**2 - 6256*c + 1074148 = 0.
-782
Factor 5*c**2 - 2175*c + 2177712 + 4923*c - 2*c**2 + 2364*c.
3*(c + 852)**2
Let p(h) be the first derivative of 3*h**6/2 - 4*h**5 - 77*h**4/4 + 60*h**3 - 18*h**2 - 267. Let p(l) = 0. What is l?
-3, 0, 2/9, 2, 3
Let f(o) be the second derivative of -o**4/12 - 1154*o**3/3 - 665858*o**2 - o - 1089. Solve f(p) = 0 for p.
-1154
Suppose 62*b - 17*b - 3*b = -170*b. Let u(f) be the first derivative of -23 - 22/45*f**3 - 2/15*f**2 + b*f - 7/10*f**4 - 34/75*f**5 - 1/9*f**6. Factor u(y).
-2*y*(y + 1)**3*(5*y + 2)/15
Factor -4/3*n**4 + 2344/3*n**3 + 0 - 343396/3*n**2 + 0*n.
-4*n**2*(n - 293)**2/3
Determine q so that -6/11 - 119/11*q + 61/11*q**2 = 0.
-3/61, 2
Let u(q) be the second derivative of -3*q**5/20 + 31*q**4/4 - 84*q**3 - 2*q - 32. Factor u(x).
-3*x*(x - 24)*(x - 7)
Suppose -3*d - 374 = 3*u + 499, 5*u = -25. Let c = d - -288. Let 0 - 1/8*j - 1/8*j**c = 0. Calculate j.
-1, 0
What is f in 3551*f**2 + 4265*f**3 - 1009865*f**4 - 250*f**5 + 1010840*f**4 - 210 + 2285*f - 10616*f**2 = 0?
-7/2, 1/5, 1, 6
Let y(l) be the third derivative of 11/300*l**5 + 0*l + 52*l**2 + 7/60*l**4 + 0 + 1/10*l**3. Factor y(m).
(m + 1)*(11*m + 3)/5
Let 14070733*r + 3*r**3 + 0*r**3 + 162*r**2 - 14070574*r = 0. What is r?
-53, -1, 0
Let a be (-3 - -1 - -3)*(120/320 - (-39)/24). Factor 8/5*n**3 + 8/5 + 21/5*n**a + 1/5*n**4 + 22/5*n.
(n + 1)**2*(n + 2)*(n + 4)/5
Let r(w) = -3679*w + 14719. Let d be r(4). Factor 0 - 14/3*x - 10*x**2 - 6*x**d - 2/3*x**4.
-2*x*(x + 1)**2*(x + 7)/3
Let h(a) be the second derivative of 35*a**4/12 - 30*a**3 + 80*a**2 - 288*a. Suppose h(d) = 0. What is d?
8/7, 4
Let s(j) = -4*j**2 - 1834*j - 13528. Let z be s(-451). Factor -45*t - 75*t**z - 27/4.
-3*(10*t + 3)**2/4
Factor -173067 - 5*z**3 + 86996 + 86811 + 165*z**2 + 720*z.
-5*(z - 37)*(z + 2)**2
Suppose -2*i**3 - 74/17*i**2 + 8*i + 26/17*i**4 + 2/17*i**5 - 56/17 = 0. Calculate i.
-14, -2, 1
Let d be (-48)/3 - (3 - (-11 - -30)). Factor 4*z + d + 14/3*z**2 + 2/3*z**3.
2*z*(z + 1)*(z + 6)/3
Let p be 388350/792 + 1/(-4) + 4. Let l = p - 493. Solve -l - 38/11*j - 18/11*j**3 + 68/11*j**2 = 0.
-2/9, 1, 3
Solve -4*k**5 - 85*k**3 - 20*k**2 - 7*k**4 - 18*k**4 + 9*k**5 - 35*k**3 + 126*k + 34*k = 0.
-2, 0, 1, 8
Let w(t) be the third derivative of -t**8/1680 - t**7/75 + 23*t**6/120 - 28*t**5/75 - 2*t**4 - 2*t**2 - 6*t + 137. Suppose w(k) = 0. Calculate k.
-20, -1, 0, 3, 4
Solve 11/3*q**3 + 0 - 1/3*q**4 + 0*q + 0*q**2 = 0.
0, 11
Factor 108 - 23*y - 29/2*y**2 - 1/2*y**3.
-(y - 2)*(y + 4)*(y + 27)/2
Determine z so that z - 3*z**3 - 6*z**2 - 34*z**2 - 2*z**3 - 46*z - 15*z = 0.
-6, -2, 0
What is w in 155 - 81 + 334 - 244*w - 4*w**2 + 288*w + 0*w**2 = 0?
-6, 17
Suppose -5*h - 2*c + 12 = -4*c, c + 7 = 3*h. Factor -24*r**3 - 4 - h*r**4 - 5 - 4 - 48*r**2 + 1 - 2*r**4 - 40*r.
-4*(r + 1)**3*(r + 3)
Find y, given that -1185/7 + 1/7*y**2 + 232/7*y = 0.
-237, 5
Factor 348/5*u - 16/5 - 456*u**2 + 940*u**3.
4*(5*u - 1)**2*(47*u - 4)/5
Let b = 70834/759 - -2/253. Let x = 1113710/78309 - -2/8701. Solve b*f**3 - 98/9*f**4 + 320/3*f - 2024/9*f**2 - x = 0 for f.
2/7, 4
Let j(p) be the third derivative of p**7/1575 + p**6/45 + 109*p**5/450 + p**4/10 - 72*p**3/5 + 174*p**2. Suppose j(o) = 0. Calculate o.
-9, -4, 2
Let n be 2034/(-51) - (-4)/(-34). Let i = n + 47. Suppose -7*v**4 - 22*v**3 + 9*v**2 - v**5 + i*v**3 - 18*v**2 = 0. Calculate v.
-3, -1, 0
Suppose 5*m + 2*y = 6 + 14, 5*m - 20 = 5*y. Let o be 9 + 780/(-91) - 1892/(-28). Determine u so that m*u**2 + o*u**3 + 0*u + 4*u**2 - 66*u**3 + 8*u = 0.
-2, 0
Find w such that 12/11*w**4 + 8/11*w**3 - 10/11*w - 12/11*w**2 + 2/11*w**5 + 0 = 0.
-5, -1, 0, 1
Let c(b) be the third derivative of -1/280*b**7 + 3/2*b**5 - 8*b**4 + 22*b**3 + 0 + 232*b**2 - 1/10*b**6 + 0*b. Find y, given that c(y) = 0.
-22, 2
Let f be (5/15)/((-2)/(-12)). Let g = -257/3 + 87. Suppose 16/3*d**3 - 8/3*d**f + 4/3 - 8/3*d - 8/3*d**5 + g*d**4 = 0. Calculate d.
-1, 1/2, 1
Let j be (-6)/10*20/(-6). Factor 30 + 5*l + 16*l**2 - 21*l**j + 20*l.
-5*(l - 6)*(l + 1)
Let -680/9 - 328/9*g**2 - 4/9*g**3 + 1012/9*g = 0. Calculate g.
-85, 1, 2
Let w(y) be the first derivative of -1/2*y**4 + 74 + 0*y - 1/2*y**2 - y**3. Factor w(l).
-l*(l + 1)*(2*l + 1)
Let l = 6179 - 6173. Let j(h) be the first derivative of 1/6*h**4 + h**2 + 10/9*h**3 - l*h - 13. Factor j(k).
2*(k - 1)*(k + 3)**2/3
Let q(l) = 6*l**2 - 48*l + 122. Let h be q(3). Suppose -h*z + 385 = 3*z. Factor -4/3*d**3 + 16/3 + z*d**2 - 24*d.
-(d - 4)**2*(4*d - 1)/3
Let a(z) be the third derivative of 2 + 10*z**2 + 0*z + 1/60*z**5 - 5/6*z**4 + 0*z**3. Factor a(u).
u*(u - 20)
Let w(f) be the first derivative of 3*f**5/25 - 9*f**4/20 + 6*f**2/5 + 655. Factor w(c).
3*c*(c - 2)**2*(c + 1)/5
Let z(s) be the third derivative of -194/15*s**5 + 0 - 2*s**3 + 130/21*s**7 - 7*s**6 + 125/84*s**8 - 43/6*s**4 - 36*s**2 + 0*s. Find i, given that z(i) = 0.
-3, -1/5, 1
Suppose -13*w = 6*w - 3249. Factor -327 - v**2 + 44*v - 328 + w.
-(v - 22)**2
Find v, given that 5*v + 22*v + 18*v**2 - 8*v**3 + 5*v + 0*v + 9*v**3 = 0.
-16, -2, 0
Suppose -2*p + 5*o - 45 = -132, -2*o + 234 = 4*p. Let a be p/90 - ((-252)/(-81))/14. Factor 4/15*y**2 + 0*y - 2/3*y**3 + a*y**4 + 0.
2*y**2*(y - 1)*(3*y - 2)/15
Let v = 435 - 433. Let f be 7 + 2 - (2 + -4). Factor -8 - 3*c**v - 4*c + f*c**2 - 2*c**2 - 2*c**2.
4*(c - 2)*(c + 1)
Let v(p) be the third derivative of -2 - 4*p**2 + 0*p - 1/840*p**8 - 17/300*p**6 - 17/150*p**5 - 1/10*p**4 + 0*p**3 - 1/75*p**7. Solve v(w) = 0.
-3, -2, -1, 0
Let g(f) be the first derivative of -f**5/12 + 5*f**4/24 + 5*f**3 + 3*f**2 - 6*f + 154. Let u(k) be the second derivative of g(k). Factor u(a).
-5*(a - 3)*(a + 2)
Let k = -352689/5 + 70541. Determine g so that -k*g + 16/5 + 4/5*g**3 + 0*g**2 - 1/5*g**4 = 0.
-2, 2
Solve 656/5*s - 384/5 + 152*s**2 + 36/5*s**3 - 86/5*s**4 - 2*s**5 = 0.
-8, -2, 2/5, 3
Suppose 2*p - 74 - 94 = -5*y, 0 = -p - 1. Factor -10*l**2 + 99 - 35 - y*l + 58*l.
-2*(l - 4)*(5*l + 8)
Let p be (10/(-12) - (68/(-24) - -3))*-5. Solve 5/4*u**5 - 25/4*u**3 - 5/4*u**4 + p*u - 5 + 25/4*u**2 = 0.
-2, -1, 1, 2
Let d(s) be the second derivative of s**6/30 + 3*s**5/5 - 61*s**4/12 - 42*s**3 - 90*s**2 + 8919*s. What is p in d(p) = 0?
-15, -2, -1, 6
Let f = -32374 - -32377. Determine w so that -10/7*w**2 + 0 - 2/7*w**4 - 4/7*w - 8/7*w**f = 0.
-2, -1, 0
Let x(t) = t - 35. Let v be x(42). Factor -6*o + 12*o**3 + 35*o**2 - 2*o**3 - v*o**3 - 34*o + 2*o**3.
5*o*(o - 1)*(o + 8)
Suppose -2*p = -p - 3. Let f = 19 - p. Factor -t - t**2 - f*t**2 + 6*t**2 + 7*t**2.
-t*(4*t + 1)
Let g be -2*(-77)/42*33. Solve -69*k + g*k**2 - 30 + 114*k**2 + 25*k**3 - 245*k**2 + 4*k = 0.
-1, -3/5, 2
Suppose 235 + 9 = 84*u - 8. Let a(j) be the first derivative of 1 + 2/3*j**u + 2*j**2 + 2*j. Suppose a(d) = 0. Calculate d.
-1
Let 14940 - 28142 + 3*l**2 - 207*l + 14666 = 0. Calculate l.
8, 61
Let b be 84/(-2793) - 198/(-627). Find v such that -16/7 + 4/7*v**2 - 8/7*v + b*v**3 = 0.
-2, 2
Find n, given that 292 + 105*n + 69*n**2 - 67*n**2 + 45*n = 0.
-73, -2
Let h(k) = 29*k**2 + 108*k + 4. Let q(t) = -108*t**2 - 432*t - 15. Let u(j) = 15*h(j) + 4*q(j). Factor u(d).
3*d*(d - 36)
Let o be 598/(-20) + 9/(10 + -100). Let f be (-112)/o + (-86)/215. Suppose 0*t - 8/3 + f*t**2 + 0*t**3 - 2/3*t**4 = 0. Calculate t.
-2, -1, 1, 2
Let d(p) = 3*p**2 - 5262*p - 2312655. Le