hat -320*l**2 + 2001 + 570 + 23673 + 4807*l + 2*l**3 + 7667*l = 0.
-2, 81
Let x be (-36453)/(-838)*(-6)/(-87). Determine l, given that 16/3*l - x*l**2 + 4/3 = 0.
-2/9, 2
Let y = 21 - -3. Suppose -15 = y*m - 29*m. Factor -n**5 - 4*n**3 - 2*n + 4*n**3 - n**5 + 4*n**m.
-2*n*(n - 1)**2*(n + 1)**2
What is n in -10*n - 35*n - 30*n - n**2 + 154 = 0?
-77, 2
Let b(z) be the second derivative of -z**6/10 + 15*z**5 - 572*z**4 - 5408*z**3 - 1044*z. Factor b(o).
-3*o*(o - 52)**2*(o + 4)
Determine m so that -4*m**5 + 12*m - 8*m**3 - 2 + 2 - 36*m**2 - 1653795*m**4 + 20*m**2 + 1653811*m**4 = 0.
-1, 0, 1, 3
Let t(s) be the third derivative of 11/72*s**4 + 0 + 2/3*s**3 - 1/360*s**6 - 2*s - 67*s**2 - 1/90*s**5. Factor t(j).
-(j - 3)*(j + 1)*(j + 4)/3
Suppose 4*q - 2*w + 114 = 0, -2*w + 90 = -3*q + w. Let p = q - -32. Let -9*f - 45*f**3 + p*f**5 + 70*f**2 - 15*f**2 + 5*f**4 - 3*f - 8*f = 0. What is f?
-4, 0, 1
Let v = 2/25 - 1033/13850. Let r = 2201/2770 + v. Solve -r*g**2 - 2/5*g**3 + 4/5 + 2/5*g = 0.
-2, -1, 1
Let o = -638920/171 + 71046/19. Find c, given that -2/9*c**2 - o*c - 44/9 = 0.
-11, -2
Let f be 6/21 + (-17 - 1310/(-70)). Determine l so that 0 + 2/3*l**f - 10/3*l = 0.
0, 5
Suppose -129*z = -126*z - 408. Factor 3851*p - z + 3838*p - 7555*p + 2*p**2.
2*(p - 1)*(p + 68)
Let c(j) be the third derivative of -j**7/70 - j**6/4 - 29*j**5/20 - j**4 + 24*j**3 + 899*j**2. Factor c(l).
-3*(l - 1)*(l + 3)*(l + 4)**2
Suppose -7*g = -5*g - 4*r - 226, 505 = 5*g + 2*r. Factor -5*v**3 - 16*v**3 - 20*v**2 + 6*v**3 - g*v**4 + 108*v**4.
5*v**2*(v - 4)*(v + 1)
Let f(d) = -239*d**2 + 1028*d - 328. Let j(v) = 1433*v**2 - 6166*v + 1966. Let u(q) = 23*f(q) + 4*j(q). Factor u(c).
5*(c - 4)*(47*c - 16)
Let j(m) be the third derivative of -2*m**7/315 + 251*m**6/360 - 143*m**5/60 + 121*m**4/72 + 61*m**3/18 + 2*m**2 + m - 190. Solve j(z) = 0.
-1/4, 1, 61
Let x(d) = -d**3 - 2*d**2 - 3*d + 3. Let b(l) = l - 1. Let j(m) = -4*b(m) - x(m). Let c(k) = -3*k**3 + 19*k + 1. Let r(h) = -c(h) - 5*j(h). Factor r(u).
-2*(u + 1)**2*(u + 3)
Let p = 34422 - 34420. Factor 108/5*c + 3/5*c**p + 972/5.
3*(c + 18)**2/5
Let l(f) be the third derivative of f**5/110 + f**4/22 - 63*f**3/11 - 562*f**2. Determine s so that l(s) = 0.
-9, 7
Let r(w) be the first derivative of -w**4/36 + w**3/3 - 7*w**2/9 - 113. Factor r(s).
-s*(s - 7)*(s - 2)/9
Let w(j) = 5*j**3 - 669*j**2 - 110307*j - 109561. Let a(u) = -11*u**3 + 1339*u**2 + 220628*u + 219122. Let m(z) = -6*a(z) - 13*w(z). Factor m(n).
(n + 1)*(n + 331)**2
Solve -130/7*j**2 - 2/7*j**5 - 202/7*j**3 + 6*j**4 + 708/7*j - 416/7 = 0.
-2, 1, 8, 13
Let 254/3*i**3 + 251*i**2 + 0*i + 0 + 1/3*i**4 = 0. What is i?
-251, -3, 0
Let o(f) be the second derivative of -f**4/4 + 101*f**3 + 557*f. Factor o(g).
-3*g*(g - 202)
Let t(c) be the third derivative of 0*c**3 + 0*c + 0 + 0*c**4 - 33*c**2 - 1/84*c**8 - 1/15*c**5 + 1/30*c**6 + 2/105*c**7. Suppose t(k) = 0. What is k?
-1, 0, 1
Let x(p) = 50*p**3 - 278*p**2 - 5760*p - 10359. Let k(r) = -22*r**3 + 140*r**2 + 2880*r + 5180. Let o(q) = 9*k(q) + 4*x(q). Factor o(t).
2*(t + 2)*(t + 36)**2
Suppose -60 = 32*r - 62*r. Let t be (-4)/70*(-33 + 28). Factor t*m**4 + 0*m + 0 + 6/7*m**r - 8/7*m**3.
2*m**2*(m - 3)*(m - 1)/7
Let a(m) = m**3 + 4*m**2 - 3*m - 3. Let c = -63 + 56. Let l(x) = 2*x**3 + 9*x**2 - 7*x - 7. Let t = 6 - 3. Let r(y) = c*a(y) + t*l(y). Factor r(v).
-v**2*(v + 1)
Let k(z) = -3*z + 30. Let i be k(9). Suppose s + 0*s = -2*x + i, -5*s - 7 = -x. Factor 4*d**x - 148*d**3 + 142*d**3 + d**5 + 7*d**5 - 8*d**4 + 0*d + 2*d.
2*d*(d - 1)**2*(2*d + 1)**2
Let g(u) = 24*u**4 + 34074*u**3 + 24196791*u**2 + 24171258*u + 6040689. Let b(v) = -2*v**4 - v**3 - 2*v - 1. Let w(o) = 6*b(o) + g(o). Factor w(f).
3*(f + 1419)**2*(2*f + 1)**2
Let r(a) be the second derivative of -1/27*a**4 + 0 + 21/2*a**2 + 1/270*a**5 + 4/27*a**3 - 5*a. Let h(b) be the first derivative of r(b). Factor h(s).
2*(s - 2)**2/9
Let p = 106366 + -106363. Let -10/3*r**2 - 1/3*r**p - 23/3*r - 14/3 = 0. What is r?
-7, -2, -1
Let v = -5795 + 5798. Let i(a) be the second derivative of 0 + v*a**2 - 1/2*a**3 + 13*a - 1/2*a**4 + 3/20*a**5. Find j, given that i(j) = 0.
-1, 1, 2
Let l = 6589/1338 + -115/446. Determine f so that 16/3 + l*f - 2/3*f**2 = 0.
-1, 8
Let s(y) = -25 + 2*y + 7 - 3*y**2 + 10 + 14*y. Let w(i) = 7*i**2 - 31*i + 20. Let x(l) = -5*s(l) - 2*w(l). Factor x(v).
v*(v - 18)
Let c(w) be the second derivative of -w**5/70 - 11*w**4/21 - 41*w**3/21 - 20*w**2/7 - 2*w - 3126. Factor c(b).
-2*(b + 1)**2*(b + 20)/7
Find a such that 6/5*a**3 - 96/5 - 3/5*a**5 - 3*a**4 + 84/5*a**2 + 24/5*a = 0.
-4, -2, 1, 2
Suppose -5231*u = -5273*u. Let 0 - 46/3*k**2 - 44/3*k**3 + 2/3*k**4 + u*k = 0. What is k?
-1, 0, 23
Let l = 140555/21 + -6682. Let k = -66/7 + l. Determine b, given that 25/9*b + 0 + 1/9*b**4 - b**3 + k*b**2 = 0.
-1, 0, 5
Let s(q) = -q**3 + q**2 + 16*q + 26. Let a be s(5). Let r be (0 + 18/24)*4/a. Determine c, given that -4*c**2 - 3*c - r*c**4 + 3*c**3 + 9/2 = 0.
-1, 1, 3
Suppose 451*v - 1057 - 296 = 0. Let h(u) be the first derivative of -1/7*u**v - 9/7*u**2 + 0*u + 35. Factor h(n).
-3*n*(n + 6)/7
Let j(g) = -g**3 - 3*g**2 - 2*g + 4. Let i be j(-3). Factor 5 - 20*f + 7*f**4 + i + 8*f**4 - 20*f**3 + 72*f**2 - 142*f**2.
5*(f - 3)*(f + 1)**2*(3*f - 1)
Let t be (-75)/(-35) + (-202193260)/(-42462). Suppose t + 1225/3*h + 1/9*h**3 + 35/3*h**2 = 0. Calculate h.
-35
Let a(b) be the third derivative of 0*b**4 - 7/96*b**6 + 0*b**3 - b**2 - 1/1344*b**8 - 11/840*b**7 - 5/48*b**5 - 52 + 0*b. Factor a(r).
-r**2*(r + 1)*(r + 5)**2/4
Determine g, given that 2*g**2 - 135*g - 82 + 5*g**2 + 2*g**2 + 228 + 97 + 3*g**3 = 0.
-9, 3
Let f(s) be the third derivative of -s**6/1980 - 19*s**5/165 - 361*s**4/33 - 16*s**3 + 27*s**2. Let r(d) be the first derivative of f(d). Factor r(h).
-2*(h + 38)**2/11
Let t(o) be the first derivative of 0*o**4 + 3*o**3 - 3/5*o**5 + 0*o + 112 - 3*o**2. Find g such that t(g) = 0.
-2, 0, 1
Suppose 573*o - 965 = 181. Factor 16/13*w + 2/13*w**o + 32/13.
2*(w + 4)**2/13
Suppose -15 = 7*s - 43. Solve -6*i**2 - 12*i**s + 50596 - 27*i - 3*i**5 - 6*i + 36*i**3 - 50578 = 0 for i.
-6, -1, 1
Let p = -158 - -186. Let -p*l + 4*l**2 + 5*l**3 + 6 - 24*l**2 - 9*l**3 - 18 = 0. Calculate l.
-3, -1
Let m be (44 - 9) + 0/2. Let x be 10/m - (-24)/210. Factor -x + 1/5*y + 1/5*y**2.
(y - 1)*(y + 2)/5
Let c(y) be the first derivative of 8 - y**3 - 1/6*y**4 - 2*y**2 - 9*y. Let a(u) be the first derivative of c(u). Solve a(w) = 0.
-2, -1
Let 772/7*n**3 + 244/7*n**4 - 16/7*n**5 + 368/7*n**2 - 144/7*n + 0 = 0. What is n?
-2, -1, 0, 1/4, 18
Let x(s) be the first derivative of 2*s**3/9 + 1072*s**2/3 + 574592*s/3 + 338. Suppose x(q) = 0. What is q?
-536
Suppose -788*j = -627*j. Find f, given that 3/2*f**3 + 0*f + 3*f**4 + j - 3*f**2 - 3/2*f**5 = 0.
-1, 0, 1, 2
Factor 4*t**2 - t**2 + 160083 - 3634*t + 5020*t.
3*(t + 231)**2
Suppose -4*j = i + 34, 3810 - 3780 = -3*i - 4*j. Factor -8 - 10/3*m - 1/3*m**i.
-(m + 4)*(m + 6)/3
Let w(z) be the first derivative of 2/15*z**3 - 74 - 8/5*z**2 + 32/5*z. Factor w(r).
2*(r - 4)**2/5
Let o = 123 + -117. Factor -2*b**2 + o*b**2 + 12*b + 113 - 105.
4*(b + 1)*(b + 2)
Let n(t) be the first derivative of -9/2*t**2 + 3/20*t**4 + 24/5*t + 6/5*t**3 + 26. Determine c so that n(c) = 0.
-8, 1
Let g = -149777/4 + 37445. Let -9/2 - g*u + 3/4*u**2 = 0. What is u?
-2, 3
Let w(j) = -j**3 - 7*j**2 + 44*j + 329. Let p be w(-7). Let c(x) be the first derivative of 2*x**2 + 6*x + 2/9*x**3 - p. Factor c(z).
2*(z + 3)**2/3
Suppose 31*b - 82 = 383. Suppose 25*p + b = 28*p. Factor 2/19*g**4 + 4/19*g**3 - 2/19*g - 4/19*g**2 + 2/19 - 2/19*g**p.
-2*(g - 1)**3*(g + 1)**2/19
Let r be ((-10)/(-5) - 8)/(-1 + -1). Let z be r/(-2)*14/(-7). Determine o, given that -2*o**2 + z*o**3 + 8*o**2 - 9*o**2 - 6*o = 0.
-1, 0, 2
Let u(x) be the second derivative of -x**4/8 - 147*x**3/4 + 675*x**2/2 - 978*x. Find n, given that u(n) = 0.
-150, 3
Factor 32/3 + 52/9*w + 2/9*w**2.
2*(w + 2)*(w + 24)/9
Factor -2/3*w**2 + 608/3*w + 408.
-2*(w - 306)*(w + 2)/3
Let w(j) = -44*j + 3698. Let y be w(84). Find n, given that -2/3*n**5 + 64/3 - 40/3*n**y + 16*n - 6*n**4 - 52/3*n**3 = 0.
-4, -2, 1
Let o(y) be the first derivative of -y**4/4 - 8*y**3 + 54*y**2 + 40*y + 54. Let k(v) be the first derivative of o(v). Fa