2)*(w + 2)/7
Let m(s) be the third derivative of 17*s**7/105 + 3*s**6/5 - 202*s**5/15 - 4*s**4 + 79*s**2 - 4*s + 1. Factor m(f).
2*f*(f - 4)*(f + 6)*(17*f + 2)
Let l(m) = 6*m**4 - 10*m**3 - 60*m**2. Let k(t) = -17*t**4 + 29*t**3 + 179*t**2. Let n(g) = 4*k(g) + 11*l(g). Factor n(p).
-2*p**2*(p - 7)*(p + 4)
Let v(g) be the third derivative of 0*g - 55*g**2 + 289/39*g**3 + 0 + 1/390*g**5 - 17/78*g**4. Factor v(t).
2*(t - 17)**2/13
Let k be (8/(-13 + 253))/(46/345). Factor -k*j**2 + 0*j + 25/4.
-(j - 5)*(j + 5)/4
Let y(h) be the third derivative of h**5/240 - 37*h**4/4 - 445*h**3/6 - 11877*h**2. Let y(d) = 0. Calculate d.
-2, 890
Let j be 2/((-372)/(-2288) + (-20)/110). Let m be 1/1 - 11/((-1320)/j). Determine u, given that 0*u + 0 - m*u**2 = 0.
0
Let b(y) be the first derivative of -1/15*y**5 + 0*y - 1/2*y**4 - 164 + 4/9*y**3 + 1/18*y**6 + 4/3*y**2. Factor b(r).
r*(r - 2)**2*(r + 1)*(r + 2)/3
Let s(r) be the first derivative of -3*r**5/20 - 309*r**4/16 + 53*r**3/2 + 78*r**2 - 2295. Solve s(j) = 0 for j.
-104, -1, 0, 2
Let r(n) = 2*n**2 + 12*n + 253. Let d be r(0). Let j = d + -247. Factor -3/2*a**4 + 0 - j*a**3 + 3/2*a**2 + 6*a.
-3*a*(a - 1)*(a + 1)*(a + 4)/2
Let o be (-90)/(-12) + (-63)/9. Let d = o + 3/10. Suppose 2/5*x**2 + 7/5*x - 1/5*x**3 + d = 0. Calculate x.
-1, 4
Factor -9408/5 - 896/5*m - 2/5*m**3 + 20*m**2.
-2*(m - 28)**2*(m + 6)/5
Let r(j) be the third derivative of 5*j - 3/10*j**5 + 1/3*j**4 + 1/105*j**7 + 4*j**3 + 0*j**6 + 3*j**2 + 0. Factor r(w).
2*(w - 2)**2*(w + 1)*(w + 3)
Let g(n) be the second derivative of -77*n + 0*n**2 + 20*n**3 + 0 - 5/12*n**4. Factor g(c).
-5*c*(c - 24)
Let r = -30 + 35. Let w = 9 - r. Suppose -48*q**4 + 55*q**3 - 67*q**4 + 35*q**w + 35*q**5 - 10*q**2 = 0. Calculate q.
0, 2/7, 1
Let u(p) = -22*p + 56. Let i be u(2). Let t be (-1)/((-8)/i) - 1. Factor 0 + 1/2*j**2 - t*j**4 + 1/2*j**5 - 1/2*j**3 + 0*j.
j**2*(j - 1)**2*(j + 1)/2
Factor -1/4*h**2 - 176400 + 420*h.
-(h - 840)**2/4
Let z be 3/((-15)/(-5) - 2). Let 972 - 41*w**3 - 44*w**z + 305*w**2 - 3996*w + 73*w**3 + 130*w**2 = 0. What is w?
1/4, 18
Let h(z) be the third derivative of -z**6/90 + 3*z**5/5 + 29*z**4/9 + 13*z**2 + z - 118. Factor h(w).
-4*w*(w - 29)*(w + 2)/3
Let a(t) be the third derivative of -t**5/30 - 53*t**4/12 + 488*t**3/3 - 4*t**2 - 149. Factor a(f).
-2*(f - 8)*(f + 61)
Suppose 960 - 3*f**3 + 7792*f - 13459*f + 7101*f + 471*f**2 = 0. What is f?
-2, -1, 160
Let n be (28/2 - -1)*(-10)/(-25). Determine v so that n*v**2 - 2*v**4 + 1474 - 2*v**2 - 1476 + 0*v**4 = 0.
-1, 1
Let j(i) be the second derivative of -i**4/48 + 557*i**3/12 - 278*i**2 - 1062*i. Factor j(b).
-(b - 1112)*(b - 2)/4
Let x(t) = -14*t + 188. Let c be x(17). Let i be 9 + (3 - (-440)/c). Factor 4/5*h**3 + 4*h + 8/5 + i*h**2.
4*(h + 1)**2*(h + 2)/5
Let a be 1230/(-308) + 2*2/1. Let u = 621/770 - a. Find h such that 6/5*h**2 + 1/5 - u*h + 1/5*h**4 - 4/5*h**3 = 0.
1
Let g(s) = -16*s**3 - s. Let w be g(-1). Suppose -12*x**4 + 4*x**3 - 8*x**4 + w*x**4 - 10*x**3 = 0. Calculate x.
-2, 0
Factor y**4 - 32*y - 188/3*y**2 - 64/3*y**3 + 0.
y*(y - 24)*(y + 2)*(3*y + 2)/3
Let u(r) = -r + 2. Let p be u(0). Let y be ((-726)/54 + 11)*((-150)/33 - -4). Solve -2/9*i**3 - y*i**p - 2*i + 0 = 0.
-3, 0
Suppose -d + 5*x - 6 = 0, -d + 0*d + 4*x - 4 = 0. Suppose -4*a + 51 = -y, -d*a = -7*a - 3*y + 27. Factor -6*l**4 - a*l**3 - l**4 - 12*l**2 - 5*l + l + 3*l**4.
-4*l*(l + 1)**3
Let l(i) = -54*i + 4. Let w be l(1). Let r be (4/(-10))/((-40)/w)*-3. Factor 1/6*f**4 + 1/6*f**3 - r*f**2 + 11/6*f - 2/3.
(f - 1)**3*(f + 4)/6
Let s = 373 + -337. Suppose -5*n + 4 + s = 0. Factor -16/3 - 3*r**2 - n*r - 1/3*r**3.
-(r + 1)*(r + 4)**2/3
Let c = 671 - 464. Factor -125 + 77*u - c*u + 3*u**2 - u**2 - 7*u**2.
-5*(u + 1)*(u + 25)
Find g such that 1/6*g**3 + 2691419471/6 + 1934881/2*g + 1391/2*g**2 = 0.
-1391
Let i(y) be the third derivative of -y**5/300 + 5*y**4/2 - 298*y**3/15 - 446*y**2. Let i(k) = 0. What is k?
2, 298
Let m(l) = 14*l**3 - 35*l**2 - 228*l + 145. Let i(z) = -2*z**3 - z**2 + z - 3. Let j(c) = -8*i(c) - m(c). Let j(g) = 0. Calculate g.
-11, 1/2
Let w(l) be the third derivative of -3*l**2 + 0*l**5 + 0*l**4 + 0*l + 2/525*l**7 - 2 + 0*l**3 + 1/150*l**6. Factor w(a).
4*a**3*(a + 1)/5
Factor -162/5*v**2 + 2/5*v + 162/5 - 2/5*v**3.
-2*(v - 1)*(v + 1)*(v + 81)/5
Let l(i) be the second derivative of -i**4/6 + 23*i**3 + 70*i**2 + 5*i - 950. Suppose l(r) = 0. Calculate r.
-1, 70
Determine m so that -117978*m - 14589946 - 318*m**2 - 2/7*m**3 = 0.
-371
Let h be (3/9)/(2/(-6)) + 4. Suppose -8*r + 3*s = -3*r - 30, 0 = -h*r + 4*s + 29. Solve -r*g + 7*g - g**2 + 5*g**2 = 0 for g.
-1, 0
Let j(h) be the third derivative of -1/105*h**5 + 11*h**2 + 1/420*h**6 - 2/7*h**4 + 0*h + 0*h**3 - 1. Factor j(k).
2*k*(k - 6)*(k + 4)/7
Let i(c) be the first derivative of -24 - 4/3*c**3 - 64*c - 34*c**2. Factor i(s).
-4*(s + 1)*(s + 16)
Find h, given that 494*h - 1/2*h**5 + 93/2*h**3 + 252 - 5*h**4 + 293*h**2 = 0.
-14, -2, -1, 9
Suppose -10*x + 1/3*x**4 + 143/3*x**2 - 48 + 10*x**3 = 0. What is x?
-24, -6, -1, 1
Let a(l) be the first derivative of 8/45*l**5 + 3*l**2 + 1/27*l**3 - 16/135*l**6 - 1/9*l**4 + 0*l - 9. Let i(z) be the second derivative of a(z). Factor i(j).
-2*(4*j - 1)**3/9
Let v(m) be the second derivative of -m**5/60 + 67*m**4/18 - 265*m**3/18 + 22*m**2 - 10479*m. Factor v(o).
-(o - 132)*(o - 1)**2/3
Let b(d) = -4*d + 70. Let f be b(17). Solve -49*q**4 - 37*q**4 + 20*q**5 + 19*q**4 + f*q**4 + 48*q**3 - 7*q**4 + 32*q**2 = 0.
-2/5, 0, 2
Let q(n) be the second derivative of -n**6/45 - 67*n**5/30 - 385*n**4/6 - 121*n**3 - 123*n - 6. Determine u so that q(u) = 0.
-33, -1, 0
Solve -25/4*x - 21 - 1/4*x**2 = 0.
-21, -4
Let q(b) be the first derivative of -b**4 - 8*b**3/3 + 16*b**2 - 336. Factor q(m).
-4*m*(m - 2)*(m + 4)
Let i be 32/14 + (-4)/14. Let l be ((-28)/30 + 2)*1665/2220. Solve 6/5*n + l + 2/5*n**i = 0.
-2, -1
Let t = 85553 - 85549. Solve 4/7*m - 6/7*m**2 + 0 - 30/7*m**t - 32/7*m**3 - 8/7*m**5 = 0 for m.
-2, -1, 0, 1/4
Let i(v) be the third derivative of -180/7*v**5 - 1/14*v**3 - 46*v + 2*v**2 - 15/7*v**4 + 0. Solve i(u) = 0.
-1/60
Let d(r) = -2*r**2 + 46*r + 118. Let h(c) = -10*c**2 + 185*c + 474. Let m(s) = 18*d(s) - 4*h(s). Factor m(g).
4*(g + 3)*(g + 19)
Suppose -2*h = 4*b - 140, -5*b + 5*h + 76 = -99. Find c such that -46 - 60 + 99*c**2 - 9 - b + 3*c**4 - 33*c**3 - 15*c = 0.
-1, 2, 5
Let l be (1/1)/((-238)/120 + 2). Let -12*t**2 - l*t**4 - 442 + 14*t**5 + 58*t**3 + 442 = 0. What is t?
0, 2/7, 1, 3
Let d(z) = -6*z**2 - 19*z + 1638. Let w be d(15). Suppose o**w + 3/2 + 3/2*o**2 - 4*o = 0. What is o?
-3, 1/2, 1
Suppose -2707/3*p**3 - 1/6*p**5 + 85184/3 + 34012/3*p**2 + 43/2*p**4 + 40656*p = 0. What is p?
-2, -1, 44
Let p(l) = -20*l - 167. Let s be p(-9). Factor -15*o**2 - s*o**2 + 25*o**2 - 13*o - 26*o + 42.
-3*(o - 1)*(o + 14)
Find q such that 3*q**2 - 26*q**2 + 2*q + 8 - 6893*q**3 + 6903*q**3 = 0.
-1/2, 4/5, 2
Let r be (104/585)/((30/(-54))/(-5)). What is c in 22/5*c**3 + 38/5*c + r + 49/5*c**2 + 3/5*c**4 = 0?
-4, -2, -1, -1/3
Let z(g) be the second derivative of -g**8/1120 + g**7/168 - g**6/80 + g**5/120 - 85*g**3/6 + 84*g. Let t(o) be the second derivative of z(o). Factor t(y).
-y*(y - 2)*(y - 1)*(3*y - 1)/2
Let y be (13/(-4))/((-5)/60). Suppose 7*x + 18 = y. Factor 26/5*q**2 + 6/5 + 6/5*q**x + 26/5*q.
2*(q + 1)*(q + 3)*(3*q + 1)/5
Let g(a) be the second derivative of 3*a**7/70 + 11*a**6/120 + a**5/30 - 58*a**2 - 4*a - 5. Let s(z) be the first derivative of g(z). Solve s(m) = 0 for m.
-1, -2/9, 0
Let k(q) be the second derivative of -256/21*q**3 - 38/35*q**5 - 42*q + 128/7*q**2 + 100/21*q**4 - 1/147*q**7 + 1 + 2/15*q**6. Determine g, given that k(g) = 0.
2, 4
Suppose -5*y - 34 = -9. Let f be y + 21/6 - 11/(-2). Factor -1/10*d - 1/5*d**2 + 1/5*d**f + 1/10*d**5 + 0*d**3 + 0.
d*(d - 1)*(d + 1)**3/10
Let y(u) = 3*u**3 - u**2 - u. Let f be y(2). Suppose 5*l + 4*n + 0*n = 9, 0 = -2*l + 2*n + f. Factor 42 - 93 - l*v**2 - 35*v + 21.
-5*(v + 1)*(v + 6)
Suppose -9*g - 1886 = 3*c - 4*g, -3*c - 4*g = 1882. Let f = c + 622. Find a, given that -2/7*a**3 + 0*a + 1/7*a**5 + 0*a**2 + 1/7*a**4 + f = 0.
-2, 0, 1
Suppose 23*j = -30 + 122. Suppose -j*k = y + 18, y - 3*k - 4 - 13 = 0. Factor 2*l**y - 2*l**3 - 2/3*l + 0 + 2/3*l**4.
2*l*(l