)/4
Let w(m) be the third derivative of -m**7/21 - 47*m**6/540 + 16*m**5/45 + m**4/9 - 16*m**3/27 + m**2 - 2308*m - 3. Determine l so that w(l) = 0.
-2, -4/9, 2/5, 1
Suppose -14*r - 1081 = -3419. Factor -163*u**2 - 27*u + 40 - u + r*u**2.
4*(u - 5)*(u - 2)
Determine i so that -2/3*i**3 + 34/3*i**2 - 48 - 36*i = 0.
-1, 6, 12
Suppose 10 = -2*g - 3*t + 29, 0 = 2*g + 5*t - 25. Factor x + 8*x**4 + 5*x + 4*x + 2*x**g - 8*x**2 - 12*x**3.
2*x*(x - 1)**2*(x + 1)*(x + 5)
Suppose 3*s - 21 = -4*r, s + 2*r - 3 = 6. Let -25*p + 38*p + 10*p - 3*p**s + 3*p**2 + 25*p + 60 = 0. Calculate p.
-2, 5
Let x(p) be the third derivative of -p**5/60 - 41*p**4/3 - 13448*p**3/3 + 541*p**2 - 2. Factor x(v).
-(v + 164)**2
Let q(k) be the first derivative of k**7/1680 - 3*k**5/160 + k**4/48 + k**3/4 + 2*k**2 + 11. Let a(p) be the second derivative of q(p). Factor a(r).
(r - 2)**2*(r + 1)*(r + 3)/8
Let c(s) be the third derivative of 4*s**2 + 0*s**3 + 1/60*s**6 + 7/90*s**5 + 1/18*s**4 + 0*s - 3. Suppose c(i) = 0. Calculate i.
-2, -1/3, 0
Let z(p) = 528*p - 27982. Let n be z(53). Factor -28/5*x + 38/5*x**n + 0 + 6/5*x**3.
2*x*(x + 7)*(3*x - 2)/5
Let h(z) be the third derivative of -z**5/12 - 35*z**4/24 + 65*z**3 - 569*z**2. Factor h(c).
-5*(c - 6)*(c + 13)
Suppose 3*j = -s - 182, -4*s - j - 678 = j. Let a = s + 171. Factor 0 - 27/7*q**3 - 3/7*q - 18/7*q**2 - 12/7*q**a.
-3*q*(q + 1)**2*(4*q + 1)/7
Let a = -34 + 12. Let p = 25 + a. Factor 3*g**4 + 11*g**5 + 4*g - 3*g**2 + 2*g - g**p - 12*g**5 - 4*g.
-g*(g - 2)*(g - 1)**2*(g + 1)
Suppose 5*n - 42385 = 5*f, 5*n - 4*f = -0*f + 42390. Let -n - 2*c**2 + 66*c + 214*c - 1318 = 0. What is c?
70
Let l = -29062 + 29064. Let -16/7*f + 8/7*f**3 + 12/7*f**l - 4/7*f**4 - 16/7 = 0. Calculate f.
-1, 2
Let c be 3/(-6)*(-40)/2700. Let t(i) be the second derivative of -c*i**6 + 0*i**3 + 0*i**5 + 2/27*i**4 + 0*i**2 + 2*i + 0. Factor t(l).
-2*l**2*(l - 2)*(l + 2)/9
Let o = 60071/3 - 20023. Let w(h) be the first derivative of o*h**2 + 2/27*h**3 + 2*h - 28. Factor w(g).
2*(g + 3)**2/9
Factor -9*t**3 + 43*t + 75 - 87 + 16*t**3 - 3*t**4 - 39*t**2 - 7*t + 11*t**3.
-3*(t - 2)**2*(t - 1)**2
Let q = -4767 - -4771. Let y(v) be the second derivative of -3*v**3 + 0*v**2 + 1/4*v**q + 0 - 21*v. Factor y(w).
3*w*(w - 6)
Let r be ((-44)/55 + (-44)/(-5))/4. Let m(p) = p**3 - 2*p**2 - p - 3. Let t be m(3). Factor 12*v + 3*v**r - v**2 + t*v + 3*v**2.
5*v*(v + 3)
Let j = 301 + -299. Find t such that -120 - 4*t**2 - 3*t**j + 8*t**2 + 2*t**2 + 9*t = 0.
-8, 5
Let h = -385689/5 + 3471241/45. Solve 4/9*v - h - 4/9*v**3 + 8/9*v**2 = 0 for v.
-1, 1, 2
Let h(p) be the first derivative of -p**4/3 + 32*p**2 + p - 113. Let m(t) be the first derivative of h(t). Factor m(z).
-4*(z - 4)*(z + 4)
Let q(z) be the third derivative of z**8/672 - z**7/28 + 47*z**6/240 + 47*z**5/120 - 15*z**4/4 + 25*z**3/3 - 4886*z**2. Let q(x) = 0. What is x?
-2, 1, 5, 10
Factor 109032*j**2 + 1406/3*j**3 + 24617632/3*j + 2/3*j**4 - 131442560/3.
2*(j - 5)*(j + 236)**3/3
Factor -2/25*g**4 + 0 + 188/25*g**3 + 0*g - 186/25*g**2.
-2*g**2*(g - 93)*(g - 1)/25
Let t(s) be the first derivative of 9*s**6 + 342*s**5/5 + 210*s**4 + 1000*s**3/3 + 288*s**2 + 128*s - 9671. Determine l so that t(l) = 0.
-2, -4/3, -1, -2/3
Let u(d) = -d**3 - 8*d**2 - 7*d - 5. Let k(z) = -z**2 - z - 1. Let x(t) = 4*k(t) - u(t). Let v be x(-2). What is l in 130 + l**v + 5*l**2 - 127 + 3*l + 4*l = 0?
-3, -1
Let c(y) = -69*y**2 + 240*y - 12. Let l(k) = 11*k**2 + k + 2. Let i(h) = c(h) + 6*l(h). Factor i(r).
-3*r*(r - 82)
Let g(c) be the first derivative of c**5 - 20*c**4 - 125*c**3 - 245*c**2 - 200*c + 4600. Suppose g(u) = 0. Calculate u.
-2, -1, 20
Let p(x) be the first derivative of -92/9*x**2 + 86 + 4/27*x**3 + 2116/9*x. Factor p(w).
4*(w - 23)**2/9
Let w(v) be the second derivative of -v**4/60 + 49*v**3/30 - 24*v**2/5 - 758*v. Factor w(s).
-(s - 48)*(s - 1)/5
Let t(w) = 16*w**2 + 22*w + 12. Let c(v) be the second derivative of v**4/3 - v**3/6 + v**2/2 - 127*v. Let i(p) = -5*c(p) + t(p). Factor i(q).
-(q - 7)*(4*q + 1)
What is q in -1/4*q**2 - 11*q - 123/4 = 0?
-41, -3
Let a be 17/3 - 3/((-18)/(-4)). What is k in -3*k + 12*k**2 + 14*k**4 - 2*k**5 + 41*k**3 - 5*k**a - 2*k**4 - 59*k**3 + 4*k**5 = 0?
0, 1
Suppose 10*y = 15*y - 10. Let b be (-6)/(y + -3 + -1). Determine s, given that -29*s**5 + 4*s**b + 10*s - 15*s**4 + 24*s**5 - 9*s**3 + 15*s**2 = 0.
-2, -1, 0, 1
Suppose -1277 + 3389 = 181*a + 1388. Factor 8/3*i - 2/3*i**3 - 1/3*i**a - 32/3 + 4*i**2.
-(i - 2)**2*(i + 2)*(i + 4)/3
Let b(p) be the third derivative of 85*p**5/12 + 1265*p**4/24 - 5*p**3 - 2*p**2 + 390*p. Factor b(r).
5*(r + 3)*(85*r - 2)
Suppose -4*q = 2*c - 816 + 802, -c = 4*q - 15. Solve 5/2*o**q + 24*o**3 + 65/2*o**2 + 3*o - 8 = 0.
-8, -1, 2/5
Suppose 5*s - 28 = -3. Suppose s*m = 3*t + 30, 2*t + 4 = -4*m + 2*m. Factor v + m*v**2 - 3*v + 14*v.
3*v*(v + 4)
Let v be (5 + 329/(-63))/(9714/72909). Let h = -2/1619 - v. Solve 3/2 + 1/6*j**2 - h*j = 0.
1, 9
Let j(l) be the first derivative of -l**5/35 + 45*l**4/4 - 626*l**3/21 + 5825. Factor j(g).
-g**2*(g - 313)*(g - 2)/7
Factor 22/3*t**2 + 2/3*t**3 + 38/3*t + 6.
2*(t + 1)**2*(t + 9)/3
Determine i, given that -2/5*i**3 - 1976856/5*i - 378238448/5 - 3444/5*i**2 = 0.
-574
Suppose -34*d + 23*d = 0. Let o(a) be the first derivative of -11 + 5/4*a**4 - 5/6*a**6 + 0*a + 0*a**3 + 0*a**5 + d*a**2. Determine q, given that o(q) = 0.
-1, 0, 1
Let x(o) be the first derivative of -o**4/8 + 29*o**3/3 - 219*o**2/4 + 81*o - 316. Factor x(y).
-(y - 54)*(y - 3)*(y - 1)/2
Suppose 2*m - 3*v - 8 = -v, 20 = m - 5*v. Let w be (6/(-144)*-99 - 4)/1. Factor m + w*g**2 + 1/2*g.
g*(g + 4)/8
Let s(k) be the first derivative of -k**6/24 + 27*k**5/5 - 2913*k**4/16 - 163*k**3/6 + 2241*k**2/2 - 1458*k + 1415. Determine y, given that s(y) = 0.
-2, 1, 54
Let o = 112 + -110. Let v be -6 - 12*o/(-3). Factor 2*z**v - 4 - 14/3*z.
2*(z - 3)*(3*z + 2)/3
Factor -1241046 - 1993*v + 586518 - 2051*v - 3*v**2 - 708300.
-3*(v + 674)**2
Let d = -168 + 844/5. Let t be (-32)/(-30)*(-18)/(-24). Let 8/5*b - t*b**2 - d = 0. Calculate b.
1
Let a(h) be the first derivative of 5*h**3/12 - 55*h**2/8 - 65*h/2 + 2201. Factor a(y).
5*(y - 13)*(y + 2)/4
Let u(t) be the second derivative of t**6/150 + 23*t**5/300 + 13*t**4/60 - 4*t**3/15 - 23*t**2 + 75*t. Let x(v) be the first derivative of u(v). Factor x(s).
(s + 2)*(s + 4)*(4*s - 1)/5
Find f such that -2/11*f**5 + 1472/11*f - 2/11*f**4 - 768/11 + 180/11*f**3 - 80*f**2 = 0.
-12, 1, 2, 4
Let h = 131 + -35. Suppose -4*o = 4*y - h, 5*y - 2*o - 136 = -51. Factor -185*t**3 - y*t**2 - 20*t + 4*t**2 + 205*t**3 + 20 - 5*t**4.
-5*(t - 2)**2*(t - 1)*(t + 1)
Let o(z) be the first derivative of z**6/42 - 14*z**5/5 - 615*z**4/28 - 940*z**3/21 + 202*z**2/7 + 1248*z/7 + 2607. Find f such that o(f) = 0.
-3, -2, 1, 104
Let k be (-291)/(-837) + 687/7099. Let o(s) be the second derivative of 0 - k*s**3 + 4/3*s**2 - 46*s + 1/18*s**4. Factor o(b).
2*(b - 2)**2/3
Find j such that 8*j - 2/13*j**2 - 774/13 = 0.
9, 43
Find x, given that -10/3 - 7/3*x - 1/3*x**2 = 0.
-5, -2
Let t(c) be the first derivative of -c**4/8 + 49*c**3/6 - 55*c**2 - 1845. Factor t(u).
-u*(u - 44)*(u - 5)/2
Suppose -4/3*f**4 - 1/3*f**5 - 76 - 704/3*f**2 + 691/3*f + 82*f**3 = 0. Calculate f.
-19, 1, 12
Suppose -217 = -15*m + 83. Let j be (1 - -12) + -1*1. What is l in 0*l - 5*l**5 - 10*l**2 + j*l + 20*l**4 - 7*l - 10 - m*l**3 + 20*l = 0?
-1, 1, 2
Let t(r) be the first derivative of -5*r**3/3 - 127*r**2/2 - 50*r + 4784. Let t(u) = 0. What is u?
-25, -2/5
Let o(g) = 5*g**2 + 12*g + 60. Suppose -52*k + 53*k = 0. Suppose 2*v + 3 - 11 = k. Let w(q) = 14*q**2 + 37*q + 181. Let n(t) = v*w(t) - 11*o(t). Factor n(m).
(m + 8)**2
Let v(p) be the second derivative of -p**7/14 + p**6/10 + 57*p**5/20 - p**4/4 - 45*p**3 - 108*p**2 - 3742*p - 2. Solve v(b) = 0.
-3, -2, -1, 3, 4
Let d(o) = -405*o**3 + 803*o**2 + 6*o + 2. Let k(p) = -811*p**3 + 1605*p**2 + 14*p + 5. Let n(w) = -5*d(w) + 2*k(w). Determine g so that n(g) = 0.
-1/403, 0, 2
Let s = -93 + 108. Factor -6*n**3 + 5*n**3 + 4*n**3 + 45 + s*n + 2*n**3 - 25*n**2.
5*(n - 3)**2*(n + 1)
Let r be 3/7 - 5505/30828. Factor -1 + r*k**2 - 3/4*k.
(k - 4)*(k + 1)/4
Determine n so that -160/7*n**2 + 0*n - 4/7*n**3 + 0 = 0.
-40, 0
Let s(r) be the second derivative 