i(l) = l**2 + 33*l + 71. Let o(q) = -8*q + 2. Let t(j) = 8*j - 6. Let d(u) = 6*o(u) + 5*t(u). Let k(h) = -9*d(h) - 2*i(h). Factor k(b).
-2*(b - 5)*(b + 2)
Let u(q) = 19*q**2 - 745*q + 160. Let w be u(39). Factor -32/7*s**3 - 96/7*s**2 - 64/7 - 4/7*s**w - 128/7*s.
-4*(s + 2)**4/7
Suppose -631*z + 2342 = 600*z - 1351. Suppose 20/9*a**4 + 4/9*a**5 - 8*a + 4/9*a**z - 28/3*a**2 + 0 = 0. Calculate a.
-3, -1, 0, 2
Factor 4181*d + 336 + 159*d**2 - 2040*d + 3*d**3 - 2639*d.
3*(d - 2)*(d - 1)*(d + 56)
Let g(d) be the second derivative of d**6/6 - 13*d**5/4 + 35*d**4/4 + 65*d**3/6 - 55*d**2 + 1314*d. Let g(v) = 0. Calculate v.
-1, 1, 2, 11
Let s(a) = a**2 - 81*a - 66. Let g(l) = 3*l**2 - 165*l - 132. Let h(k) = -4*g(k) + 9*s(k). Solve h(r) = 0 for r.
-22, -1
Factor 16/7*q**3 + 820/7*q + 900/7 + 32*q**2.
4*(q + 9)*(2*q + 5)**2/7
Let y(u) be the second derivative of -u**7/2205 + 19*u**6/840 - u**5/30 - 3*u**4 - 18*u. Let b(c) be the third derivative of y(c). Find f such that b(f) = 0.
1/4, 14
Let a = -72467 - -362337/5. Solve -12/5 + a*i**2 - 10/3*i = 0 for i.
-2/3, 9
Suppose 4*u = 4*r - 16, -269*r + 264*r + 4*u + 18 = 0. Let i = 25/3 - 8. Determine s, given that 1/9*s**3 + 2/9 - i*s + 0*s**r = 0.
-2, 1
Let n(g) be the second derivative of 2 - 1/27*g**4 - 20/3*g**2 - 14*g - 62/27*g**3. Factor n(c).
-4*(c + 1)*(c + 30)/9
Let j(w) be the third derivative of -w**5/100 + 2131*w**4/20 - 7*w**2 - 2*w + 15. Factor j(r).
-3*r*(r - 4262)/5
Let r(j) be the third derivative of 15/8*j**4 + 0*j**3 + 2*j - 181*j**2 - 1/2*j**5 + 0 + 1/24*j**6. Factor r(u).
5*u*(u - 3)**2
Let i be 1537/(-212) + (2 - -6). Let h(u) be the second derivative of 1/40*u**6 - 7*u - 1/2*u**3 - i*u**4 + 6*u**2 - 3/80*u**5 + 0. Factor h(y).
3*(y - 4)*(y - 1)*(y + 2)**2/4
Let y(k) be the first derivative of k**3/9 - 85*k**2 + 21675*k + 1223. Suppose y(u) = 0. What is u?
255
Let k be -6 - (-10730)/19350 - -5. Let v = -2/1935 - k. Determine t so that -2/9*t**2 + v*t - 2/9*t**3 + 0 = 0.
-2, 0, 1
Let j be 798/418 - (1 - (-12)/(-11) - 0). Factor -8712/7 + 264/7*t - 2/7*t**j.
-2*(t - 66)**2/7
Let w(p) be the first derivative of -48*p**5/25 - 4254*p**4/5 - 504097*p**3/5 - 376479*p**2/5 - 93987*p/5 - 4405. Determine n so that w(n) = 0.
-177, -1/4
Let v(s) = s**3 + 4*s**2 + 17. Let z be v(-5). Let j be z + 14 + 141/(-24). Let -1/4*k**2 + 0 + 0*k + j*k**3 = 0. What is k?
0, 2
Let d(j) be the third derivative of -j**8/168 + 86*j**7/175 + 119*j**6/300 - 392*j**5/75 + 17*j**4/5 + 208*j**3/15 - j**2 - 1078*j. Let d(r) = 0. Calculate r.
-2, -2/5, 1, 52
Factor 216*a**2 + 2314 + 420*a - 1054 - 972 + 3*a**4 + 45*a**3.
3*(a + 2)**2*(a + 3)*(a + 8)
Let o = -136 + 156. Factor -o*c**2 - 188*c**4 - 36*c - 4 - 4 + 216*c**4 + 36*c**3.
4*(c - 1)*(c + 1)**2*(7*c + 2)
Let m(g) be the second derivative of -1/10*g**6 + 0*g**2 + 9/20*g**5 + 0*g**3 + 0*g**4 + 1 + 73*g. Factor m(a).
-3*a**3*(a - 3)
Factor -242200/3*l**2 + 20878*l**3 + 2/3*l**5 + 0 - 700/3*l**4 + 239432/3*l.
2*l*(l - 173)**2*(l - 2)**2/3
Find m such that -77 - 155/2*m - 1/2*m**2 = 0.
-154, -1
Let s = -16998 - -17004. Let g(r) be the second derivative of -1/105*r**7 - 7/150*r**s + 2*r + 0*r**2 - 1/30*r**3 - 1/12*r**4 - 9/100*r**5 + 0. Factor g(c).
-c*(c + 1)**3*(2*c + 1)/5
Let o be 3500/280 + 2/(-4)*(28 - 6). Factor 39/2*t - 18 - o*t**2.
-3*(t - 12)*(t - 1)/2
Let c(m) be the first derivative of -m**4/2 - 1378*m**3 - 13989. Factor c(t).
-2*t**2*(t + 2067)
Let n(v) = 12 - 49*v**2 - 41*v**2 + 136*v**2 - 12*v - 8*v - 41*v**2. Let x(d) = -3*d**2 + 40*d - 7*d**2 - 13 - 16 + 4. Let f(y) = -5*n(y) - 3*x(y). Factor f(j).
5*(j - 3)*(j - 1)
Let k be (16/(-14))/(1/(-42)). Factor -10*u + 16 - k*u**2 - 4*u**2 - 44*u + 6*u + 24*u**2.
-4*(u + 2)*(7*u - 2)
Let b(w) be the third derivative of 4225/6*w**3 + 0*w + 0 + 1/60*w**5 - 121*w**2 - 65/12*w**4. Determine h so that b(h) = 0.
65
Let g(c) be the third derivative of -c**6/720 + 32*c**5/45 + 613*c**2. Find y such that g(y) = 0.
0, 256
Suppose -16*g = 33*g - 15*g - 238. Let d(s) be the first derivative of 1/6*s**6 + 0*s**5 + 0*s - 3/2*s**2 - 8/3*s**3 + g - 3/2*s**4. Factor d(n).
n*(n - 3)*(n + 1)**3
Let h be ((-62)/(-124))/((-2)/(-24)) + 3059/(-510). Let m(i) be the third derivative of 0*i + 0 - 1/51*i**4 + 29*i**2 + 4/51*i**3 + h*i**5. Factor m(y).
2*(y - 2)**2/17
Suppose -412*b + 677 = -326*b + 505*b - 505. Suppose 0 - 1/2*m**4 - b*m - 11/2*m**2 - 9/2*m**3 + 1/2*m**5 = 0. Calculate m.
-1, 0, 4
Let r = 35 + -30. Let o be (r + 1)*14/224. Factor -1/8*t**3 + 0 - 3/8*t**2 + o*t**4 + 0*t + 1/8*t**5.
t**2*(t - 1)*(t + 1)*(t + 3)/8
Suppose 2*i + d = 340, -i + 5*d + 155 - 7 = 0. Suppose 5*r + 153 = i. Determine a so that -4*a**3 + a + 1 - 70*a**2 + r*a**3 + 69*a**2 = 0.
-1, 1
Let b(p) be the first derivative of -5*p**3/3 + 2345*p**2 - 1099805*p + 825. Factor b(r).
-5*(r - 469)**2
Let q = 105397 - 105395. Factor -10*r**4 - 20 + 10*r - 5/2*r**3 - 5/2*r**5 + 25*r**q.
-5*(r - 1)**2*(r + 2)**3/2
Let 6144 + 184/3*t**3 + 2/3*t**4 + 3848/3*t**2 - 5888*t = 0. What is t?
-48, 2
Let m(c) be the first derivative of 2/15*c**5 + 0*c + 1/2*c**4 - 1/9*c**6 - 2/3*c**2 - 2/9*c**3 + 87. Solve m(n) = 0.
-1, 0, 1, 2
What is u in 565/3*u + 0 - 5/3*u**4 + 575/3*u**3 - 1135/3*u**2 = 0?
0, 1, 113
Factor 8*v**2 + 0 - 22*v - 2/9*v**3.
-2*v*(v - 33)*(v - 3)/9
Suppose -4*x = -15 + 3. Factor -4*s + 4 + 14*s**3 + 7*s**5 - 57*s**x + 12*s**3 + 8*s**3 + 5*s**4 - 29*s**2.
(s - 2)*(s + 1)**3*(7*s - 2)
Let a = -43 - -42. Let q(m) = -3*m + 2. Let c be q(a). Factor -3*t**4 - 4*t**3 + 3*t**3 + 5*t**c + 6*t**3 - 7*t**4.
5*t**3*(t - 1)**2
Let l(h) = h**2 + 210*h - 16198. Let m be l(-270). Find c, given that -1/2*c**m - 4*c + 9/2 = 0.
-9, 1
Let c(w) be the first derivative of 0*w**3 - 96 - w**4 + 14*w**3 - 31*w**3 - 23*w**3 - 70. Solve c(n) = 0.
-30, 0
What is h in 146*h**3 + 148*h**3 - 289*h**3 + 205*h - 71 + 220*h**2 - 359 = 0?
-43, -2, 1
Let u(h) be the second derivative of -3*h**5/20 + 7*h**4 - 99*h**3/2 + 108*h**2 + h - 219. Solve u(t) = 0 for t.
1, 3, 24
Suppose 4*w - 8 = -q - w, q - 8 = 2*w. Let 4*b**2 + 8*b - q*b - 22 - 26 + 16*b = 0. What is b?
-6, 2
Suppose 0 = 4*l - 2*i - 442, 3*l - 5*i = -i + 344. Suppose 10*c - l = c. Suppose -107*g**2 + 3*g**4 + 3*g**3 + 107*g**2 + c*g**3 = 0. Calculate g.
-5, 0
Suppose -14 = 3*g - 10*g. Let o = 0 + g. What is i in -11*i + 2*i**2 + 10*i - 3*i**o = 0?
-1, 0
Let p be 6*(-5)/(-20)*2. Suppose p*i + 5*q = 31, 7*i + 4*q = 10*i + 14. Determine g so that 0*g + 2/7*g**i + 8/7*g**3 + 0 = 0.
-1/4, 0
Let c be (-44)/1760*-650 + 2/(-8). What is o in -2/5*o**3 + c - 162/5*o + 84/5*o**2 = 0?
1, 40
Let z be ((-330)/1540)/((-2)/8*3). Factor 16/7*w - 24/7 - z*w**2.
-2*(w - 6)*(w - 2)/7
Let l(d) be the first derivative of -25*d**6/6 + 169*d**5 + 969*d**4/2 + 7492*d**3/15 + 244*d**2 + 288*d/5 + 649. What is j in l(j) = 0?
-1, -2/5, 36
Let q(f) be the third derivative of -f**5/12 - 995*f**4/12 - 198005*f**3/6 + 1851*f**2. Factor q(x).
-5*(x + 199)**2
Let n(m) be the first derivative of 11*m - 9 + 0*m**3 + 0*m**2 + 5/12*m**4. Let d(g) be the first derivative of n(g). Solve d(p) = 0 for p.
0
Let t = 78203 + -547321/7. Factor 0 + 0*x - t*x**2 - 44/7*x**4 - 20*x**3 - 4/7*x**5.
-4*x**2*(x + 1)*(x + 5)**2/7
Let i(n) be the first derivative of 1/9*n**2 - 2/9*n + 111 + 1/27*n**6 + 4/27*n**3 - 2/45*n**5 - 1/9*n**4. Factor i(o).
2*(o - 1)**3*(o + 1)**2/9
What is y in -41*y**3 - 2*y**2 - 42*y - 3*y**2 - 21*y**3 + 60*y**3 + 25*y**2 = 0?
0, 3, 7
Let j be (9660/(-63))/(-20) + (234/(-45) - (-1)/5). Factor 1/3*w**3 + 17/3*w + 10/3 + j*w**2.
(w + 1)*(w + 2)*(w + 5)/3
Let g(w) = -w. Let z(v) be the first derivative of 199*v**2 - 75*v + 3 - 2 - 213*v**2 - v**3. Let h(b) = -2*g(b) - z(b). Determine u, given that h(u) = 0.
-5
Let g = -428833 - -1289827/3. Factor -4096/3 + 240*p**2 + g*p + 47/3*p**3 + 1/3*p**4.
(p - 1)*(p + 16)**3/3
Let p(j) = 9*j**3 - 1001*j**2 + 62676*j - 61499. Let z(o) = -10*o**3 + 1002*o**2 - 62712*o + 61498. Let i(m) = -6*p(m) - 5*z(m). Factor i(t).
-4*(t - 124)**2*(t - 1)
Factor 0 - 4*a**2 - 80/7*a - 2/7*a**3.
-2*a*(a + 4)*(a + 10)/7
Let l(j) be the first derivative of j**5/270 + j**4/18 - 16*j**3/27 - 48*j**2 - 25. Let f(h) be the second derivative of l(h). Suppose f(a) = 0. Calculate a.
-8, 2
Let g(a) = 6*a**2 - 576*a + 552. Let j(o) = -14*o**2 + 11