*3 - 226*l**3.
-4*l**3*(l + 1)*(l + 3)
Let a(f) = 3*f + 45. Let y be a(-18). Let v be (2/4 - 5) + (-4 - y). Factor 5/2*r - 2 - v*r**2.
-(r - 4)*(r - 1)/2
Let b(i) be the third derivative of i**7/945 - 28*i**6/135 + 221*i**5/270 - 55*i**4/54 + 1226*i**2. Solve b(t) = 0.
0, 1, 110
Suppose -16 = -4*p - 2*j, 6 = 2*p + 4*j - 8. Let b(v) = v**3 - 2*v**2 + v - 12. Let k be b(p). Factor k*z**2 - z**2 - z**2 + 6*z**2 + 2*z**3.
2*z**2*(z + 2)
Let q be (22 - 16) + 106/(-22). Let u = q + 313/33. Suppose 16*v**2 + u*v + 0 + 4/3*v**4 + 8*v**3 = 0. What is v?
-2, 0
Let o be (-63)/(-24) - (-78)/208. Suppose 0 = -5*s + 20, 0 = 5*n - 3*s + 5*s - 33. Factor -122*z**2 - 2*z**5 + 110*z**2 - 15*z**4 - z**n + 0*z**5 - 24*z**o.
-3*z**2*(z + 1)*(z + 2)**2
Let p(m) = -9*m**3 - 133*m**2 - 1019*m - 865. Let g(c) = -33*c**3 - 465*c**2 - 3567*c - 3027. Let s(h) = 5*g(h) - 18*p(h). Let s(r) = 0. What is r?
-5, -1, 29
Let x be 0 - (-45)/18*(-24)/10. Let z be -6*(-1)/(-18)*x. Factor 0*j + 1/2*j**5 + 0 + 0*j**z - 3/2*j**4 + j**3.
j**3*(j - 2)*(j - 1)/2
Let z = -147257 - -147275. Factor -2/9*b**4 - 236/9*b**2 - 40*b - z - 40/9*b**3.
-2*(b + 1)**2*(b + 9)**2/9
Let o(c) be the first derivative of c**7/168 - c**6/40 - 3*c**5/40 + c**4/6 + 143*c - 18. Let u(r) be the first derivative of o(r). Factor u(x).
x**2*(x - 4)*(x - 1)*(x + 2)/4
Let j(n) be the third derivative of -n**8/1680 + 2*n**7/175 - 49*n**6/600 + 11*n**5/50 + 4*n**4/15 - 16*n**3/5 + n**2 - 19. Determine d, given that j(d) = 0.
-1, 2, 3, 4
Let o(w) = -5*w**2 + 11469*w - 8225429. Let a(m) = -m**2 - 3*m - 5. Let i(k) = -a(k) + o(k). Factor i(g).
-4*(g - 1434)**2
Let p be ((-3212)/(-11))/((-14)/4). Let t = p + 84. Factor -16/7 + 2/7*v**3 + t*v**2 - 8/7*v.
2*(v - 2)*(v + 2)**2/7
Suppose 4*b = 3*a - 1 - 13, 0 = 4*b + 8. Let h(m) be the third derivative of 0*m + 1/32*m**4 + 0 + 0*m**3 + 1/160*m**6 + 6*m**a - 1/40*m**5. Factor h(i).
3*i*(i - 1)**2/4
Let j(x) = x**3 + 2*x**2 - 65*x - 15. Let d be j(-9). Let u(w) be the third derivative of 7/18*w**4 + 0*w + 49/90*w**5 - 6*w**2 + 1/9*w**d + 0. Solve u(r) = 0.
-1/7
Let s be 0*4/(-40)*-5. Let n be 228/120 - (s + 6/4). What is b in -n*b + 2/5*b**2 - 12/5 = 0?
-2, 3
Let s(d) be the first derivative of -3*d**4/20 + 23*d**3/5 - 213*d**2/10 - 57*d + 2676. Let s(f) = 0. Calculate f.
-1, 5, 19
Let h = -1013 + 1019. Let y be ((-3)/(-18)*-2)/(h/(-36)). Factor -8/7*w**y - 2/7*w + 12/7 - 2/7*w**3.
-2*(w - 1)*(w + 2)*(w + 3)/7
Suppose 3*f + r - 544 = 0, 0 = -6*f + f + 5*r + 880. Suppose f*i + 40 = 185*i. Determine m, given that -13 - 4*m + 24*m**2 + i*m + 0*m - 4*m**3 - 11 = 0.
-1, 1, 6
Let z(k) be the first derivative of -3*k**5/5 + 7*k**3 + 9*k**2 - 361. Suppose z(g) = 0. What is g?
-2, -1, 0, 3
Suppose 7/3*l**2 + 9 - 17/2*l - 1/6*l**3 = 0. What is l?
2, 3, 9
Factor -744*m**3 + 2*m**4 + 828*m**3 - 2*m**4 - 2*m**4 + 718*m**3.
-2*m**3*(m - 401)
Let g(h) = -52*h + 835. Let b be g(16). Let f(a) be the third derivative of 0*a**b + 0 - 1/12*a**5 + 32*a**2 + 5/3*a**4 + 0*a. Factor f(o).
-5*o*(o - 8)
Determine x so that -72200/9 + 760/9*x - 2/9*x**2 = 0.
190
Factor -686/9*i + 0 - 2/9*i**2.
-2*i*(i + 343)/9
Let p(q) = 1. Let g(n) = -n**2 - 8 - 10*n + 25*n - 7*n - 11*n. Suppose 2*x + 0 = 2. Let m(c) = x*g(c) + 6*p(c). Find s such that m(s) = 0.
-2, -1
Let b be ((-38)/84 - (-14 + 1411/102)) + (-561)/(-77). Factor -22/3 + 1/3*g**2 - b*g.
(g - 22)*(g + 1)/3
Let c(n) = -244*n**2 - 48*n - 5. Let g(q) = -245*q**2 - 40*q - 4. Let r(i) = -8*c(i) + 10*g(i). Suppose r(a) = 0. What is a?
-8/249, 0
Let x(f) = -10*f + 4. Let o be x(1). Let c be (o/8)/((1/(-1))/252). Factor c*g**3 + 15*g**2 + 3*g**4 - 207*g**3 + 0*g**4.
3*g**2*(g - 5)*(g - 1)
Let m be (-2 - 3) + 594/12*36. Let n = m - 12421/7. Suppose 12/7*d**3 + n*d**4 + 0 + 0*d - 10/7*d**2 - 4/7*d**5 = 0. What is d?
-1, 0, 1/2, 5
Suppose 0 = -3*f + 5*q + 461, -19 = -f - 3*q + 158. Let -5 - f*w + 44 - 3*w**2 + 126*w = 0. Calculate w.
-13, 1
Let -51*w + 95*w**3 + 45*w**2 - 247203*w**4 - 43*w - w**5 + 247158*w**4 = 0. Calculate w.
-47, -1, 0, 1, 2
Let l(j) = 2*j**2 - 70*j + 13. Let n be l(35). Suppose -31 = -5*c - 2*f, 2*c - n = -3*f + 2*f. Factor -2/3*s**4 + 0 - 1/6*s**c - 2/3*s**2 - s**3 - 1/6*s.
-s*(s + 1)**4/6
Let t(h) = 20*h**3 - 10000*h**2 - 19892*h - 9944. Let d(x) = -6*x**3 + 2857*x**2 + 5683*x + 2841. Let s(v) = 24*d(v) + 7*t(v). Factor s(m).
-4*(m + 1)**2*(m + 356)
Suppose 2*u = -2*t + 8, -48 + 64 = 3*u + 2*t. Let l be (0 - u/10)/((-1170)/2600). Factor -l + 4/3*b + 4/9*b**2.
4*(b - 1)*(b + 4)/9
Suppose -6 = 14*x + 50. Let w(z) = 7*z**3 + 3*z**2 + z + 3. Let a(y) = -y**2 + y + 3. Let b(o) = x*w(o) + 4*a(o). Factor b(j).
-4*j**2*(7*j + 4)
Let r = 185/146 - 2113/1898. Find d such that -r*d**4 + 12/13 - 10/13*d**2 - 10/13*d**3 + 10/13*d = 0.
-3, -2, -1, 1
Let o(n) be the third derivative of 11*n**2 + 3 + 192*n**3 + 0*n - 12*n**4 + 2/5*n**5 - 1/180*n**6. Factor o(k).
-2*(k - 12)**3/3
Suppose -j = -8*j - 0*j + 35. Let k(u) be the second derivative of 0 + 1/36*u**3 - 9*u - 1/120*u**j + 0*u**2 + 0*u**4. Let k(v) = 0. What is v?
-1, 0, 1
Let l(a) be the third derivative of 0*a - 1/60*a**5 + 1/6*a**3 - 1/48*a**6 + 235*a**2 + 0 + 5/48*a**4. Suppose l(h) = 0. Calculate h.
-1, -2/5, 1
Let q(p) = 306*p - 1254. Let u(r) = r**2 + 1223*r - 5018. Let i(o) = 11*q(o) - 3*u(o). Factor i(a).
-3*(a - 4)*(a + 105)
Suppose -7*i + 12 + 2 = 0. Let b(j) be the third derivative of 0 + 0*j**5 + 1/168*j**8 - 1/90*j**6 + 1/315*j**7 + 0*j**4 + 0*j + 0*j**3 + j**i. Factor b(l).
2*l**3*(l + 1)*(3*l - 2)/3
Factor 0 + 59/2*p + 1/2*p**2.
p*(p + 59)/2
Let q(y) be the third derivative of -y**9/5040 + y**7/840 + 11*y**4/12 + 34*y**2. Let x(p) be the second derivative of q(p). Find k, given that x(k) = 0.
-1, 0, 1
Let u(q) = q**2 - 114*q + 125. Let p(o) = o**2 - 110*o + 125. Let y(f) = 3*p(f) - 4*u(f). Suppose y(b) = 0. What is b?
1, 125
Suppose -4*c + 83 = -77. Suppose -s + 43 = c. Determine a, given that -16*a**2 + 4*a**s - 11*a**2 + a**3 + 7*a**2 = 0.
0, 4
Suppose c - v = -1681 + 539, 0 = -4*c - 5*v - 4568. Let l = -1140 - c. Factor -3/5*t**l - t**3 - 1/5*t**4 + 0 + 0*t + 1/5*t**5.
t**2*(t - 3)*(t + 1)**2/5
Solve 41/4*c**4 + 0 + 43/4*c**3 - 1/4*c**5 - 41/4*c**2 - 21/2*c = 0 for c.
-1, 0, 1, 42
Let r(t) be the third derivative of -t**6/228 + 49*t**5/15 - 14477*t**4/19 + 23064*t**3/19 - 2*t**2 + 355*t. Factor r(u).
-2*(u - 186)**2*(5*u - 2)/19
Let u(i) = -i**5 + 2*i**4 - i**2 + i + 1. Let x(l) = 2*l**5 - 4*l**4 - 2*l**3 + 9*l**2 - 8*l + 1. Let r(b) = u(b) + x(b). Factor r(h).
(h - 1)**4*(h + 2)
Determine o, given that 43237380096/5 - 379275264/5*o + 1247616/5*o**2 - 1824/5*o**3 + 1/5*o**4 = 0.
456
Factor -4*n**2 - 139 + 283326*n - 283226*n + 355.
-4*(n - 27)*(n + 2)
Let n = 59 - -1. Suppose 0 = 15*v + 34*v - 98. Factor 2 + 3*l + 59*l**v - n*l**2 - 4.
-(l - 2)*(l - 1)
Let k(r) = -15*r**2 + 8316*r - 1126172. Let v(x) = 3*x**2 - 1662*x + 225234. Let w(m) = 3*k(m) + 16*v(m). Let w(z) = 0. Calculate z.
274
Suppose 48*a - 98 + 2 = 0. Let f(y) = -54*y + 110. Let w be f(a). Suppose 2/11*n**3 - 4/11 - 6/11*n + 0*n**w = 0. Calculate n.
-1, 2
Let s(r) be the first derivative of -r**7/1260 - r**6/540 - r**3/3 - 15*r**2/2 + 48. Let u(k) be the third derivative of s(k). Find y, given that u(y) = 0.
-1, 0
Let x(i) be the second derivative of -i**6/105 - 57*i**5/35 + i**4/42 + 38*i**3/7 + 42*i + 6. Suppose x(l) = 0. What is l?
-114, -1, 0, 1
Let q be (-678)/(-1130)*2/48. Let n(t) be the third derivative of 3/16*t**4 + 7*t**2 + 0 - q*t**5 + 0*t**3 + 0*t. Determine o so that n(o) = 0.
0, 3
Let m(h) = -9*h + 159. Let g be m(17). Let n be -8*g/(-240)*(-15)/(-2). Solve -1/6 + n*v - 4/3*v**2 = 0.
1/8, 1
Let w(f) = -20*f**2 + 17*f**2 + 4*f**2. Let u(m) = 11*m**2 + 16*m + 4. Let a(z) = 3*u(z) - 12*w(z). Find v, given that a(v) = 0.
-2, -2/7
Let h = -3823 + 3841. Let t(r) be the second derivative of -5/2*r**3 + 0 + 3/20*r**5 - h*r + 1/4*r**4 + 9/2*r**2. Factor t(w).
3*(w - 1)**2*(w + 3)
Let t(m) = -1 + 36*m**2 - 20*m**2 + m - 17*m**2. Let x(g) = 4 - 6*g + 4*g**2 + 0*g + 0. Let f(q) = 14*t(q) + 3*x(q). Factor f(a).
-2*(a + 1)**2
Let s = 1745/388 - 315/97. Factor 1/4*z**3 + 1/4*z**2 + 3/4 - s*z.
(z - 1)**2*(z + 3)/4
Let z(c) be the second derivative of -c**7/70 + 11*c**6/50 - 21*c**5/20 + 5*c**4/4 - 2038*c. Factor z(