 k(i).
2*(i - 3)*(i + 28)
Let j(k) be the first derivative of -k**4 + 3/2*k**2 - 6 - 2/3*k**3 + 0*k + 1/6*k**6 + 2/5*k**5. Find y such that j(y) = 0.
-3, -1, 0, 1
Let o(w) be the third derivative of 1/270*w**5 + 6*w**2 + 0 + 7/54*w**4 + 0*w + 0*w**3. Suppose o(b) = 0. What is b?
-14, 0
Let k(j) be the third derivative of -j**6/96 + 55*j**5/6 - 15125*j**4/6 + 1918*j**2. Find u such that k(u) = 0.
0, 220
Let l(b) = -3860*b**2 - 528*b - 16. Let j(y) = -y**2 - 2*y. Suppose 13*d = -11*d + 24. Let t(r) = d*l(r) - 16*j(r). What is x in t(x) = 0?
-2/31
Let d be ((-6)/4)/((-15)/(-300)). Let l be (-7 - -4)*-1*d/(-12). Determine s so that l*s**2 - 6 - 3/4*s**3 - 3*s**4 - 3/4*s**5 + 3*s = 0.
-2, 1
Let x(t) be the third derivative of -t**6/12 - 2*t**5/3 - 9*t**4/4 + 29*t**2. Let w(k) = -2*k**3 - 8*k**2 - 11*k. Let b(g) = -14*w(g) + 3*x(g). Factor b(i).
-2*i*(i + 2)**2
Determine j, given that 1497226624 + 1362*j**2 - 2473392*j - 1/4*j**3 = 0.
1816
Let -4245698 - 1/2*z**2 + 2914*z = 0. What is z?
2914
Let t(q) be the first derivative of 2*q**3/39 + 15*q**2 + 1399. What is n in t(n) = 0?
-195, 0
Factor 7708/7*f - 2/7*f**2 - 7426658/7.
-2*(f - 1927)**2/7
Let h(o) be the first derivative of -o**5/70 - o**4/21 - 86*o - 13. Let j(d) be the first derivative of h(d). Let j(n) = 0. What is n?
-2, 0
Let n = 268 + -257. Factor -i**3 + 20*i**3 - n*i**3 + 5*i**2 + 3*i**4 - i**4 + i**2.
2*i**2*(i + 1)*(i + 3)
Let h(x) be the first derivative of -648/13*x + 40 - 36/13*x**2 - 2/39*x**3. Factor h(q).
-2*(q + 18)**2/13
Factor -360426*o**3 + 279*o + 248 + 412 + 360417*o**3 - 390*o**2.
-3*(o + 1)*(o + 44)*(3*o - 5)
Let b(h) be the third derivative of 0*h**3 - 4913/4*h**4 + 0 - 1/945*h**7 - 17/60*h**6 + 171*h**2 - 289/10*h**5 + 0*h. Factor b(p).
-2*p*(p + 51)**3/9
Let y(j) = 4*j**3 + 158*j**2 + 1036*j - 544. Let d(w) = -4*w**3 - 158*w**2 - 1036*w + 546. Let i(f) = 7*d(f) + 6*y(f). Let i(q) = 0. Calculate q.
-31, -9, 1/2
Let v be 1*(1 + -6 + 0 + 1). Let z(l) = 4*l**3 + 32*l**2 + 72*l + 48. Let i(b) = 4*b**3 + 32*b**2 + 73*b + 50. Let x(q) = v*i(q) + 5*z(q). Factor x(t).
4*(t + 1)*(t + 2)*(t + 5)
Let o = -852 - -23857/28. Let g = 341/140 - o. Suppose g*p**5 - 32/5*p + 48/5*p**2 + 0 + 24/5*p**3 - 44/5*p**4 = 0. Calculate p.
-1, 0, 2/3, 2
Factor 21*c + 0*c**3 + 2*c**2 + 40*c - 13*c - 2*c**3 + 72.
-2*(c - 6)*(c + 2)*(c + 3)
Factor -1903445/2 - 5/2*d**2 - 3085*d.
-5*(d + 617)**2/2
Let p(n) be the third derivative of -n**7/560 - 5*n**6/64 - 47*n**5/160 - 23*n**4/64 - 11779*n**2. Factor p(i).
-3*i*(i + 1)**2*(i + 23)/8
Let d(g) be the second derivative of -g**5/2 - 865*g**4/48 - 685*g**3/4 - 5625*g**2/8 + 96*g + 42. Factor d(z).
-5*(z + 3)**2*(8*z + 125)/4
Suppose 252 = -539*s + 532*s. Let z be (-14)/(-140)*s/(-6). Let 9/5*c**2 - z*c**3 + 0 - 6/5*c = 0. What is c?
0, 1, 2
Solve -57*b**2 - 18*b**4 - 29*b**3 - 31*b**2 - 56*b + 16*b**4 - 5*b**3 = 0.
-14, -2, -1, 0
Let r = -7016245/4 + 1754062. Factor 0*s + 0 + 9/2*s**2 - r*s**3.
-3*s**2*(s - 6)/4
Let n(a) be the second derivative of 1/120*a**6 - 9/40*a**5 + a - 9/2*a**3 + 7/4*a**4 + 0 + 0*a**2. Let t(f) be the second derivative of n(f). Factor t(d).
3*(d - 7)*(d - 2)
Suppose 23*x = 17*x. Find j such that -44*j**2 - 1358*j**5 + x*j + 4*j**4 - 8*j - 48*j**3 + 1374*j**5 = 0.
-1, -1/4, 0, 2
Suppose -f = -5, -220 = 3*o + f - 0*f. Let y = o + 120. Suppose 7*x + 5*x - 6*x**3 - 6*x**3 - y*x**2 = 0. What is x?
-4, 0, 1/4
Let k(x) be the first derivative of -3*x**5/40 + 15*x**4/8 - 17*x**3/2 + 12*x**2 - 1000. Factor k(c).
-3*c*(c - 16)*(c - 2)**2/8
Let n(t) be the third derivative of -t**8/252 - 2*t**7/45 - t**6/45 + 28*t**5/45 + 4*t**4/3 - 2*t**2 + 1693. Find u, given that n(u) = 0.
-6, -2, -1, 0, 2
Let k be (10/25)/((-152)/(-1520)). Let g(q) be the third derivative of 0*q + 0 - 1/120*q**6 + 0*q**5 - 29*q**2 + 1/24*q**k + 0*q**3. Factor g(w).
-w*(w - 1)*(w + 1)
Factor -15*x + 0 + 31/2*x**2 - 1/2*x**3.
-x*(x - 30)*(x - 1)/2
Let l = 10/33 + 458/231. Let q be 2 + 1/(((-18)/(-4))/9). Suppose -l + 60/7*y**2 - 466/7*y**3 + 72/7*y + 30*y**q = 0. What is y?
-2/5, 2/7, 1/3, 2
Let m(b) be the first derivative of -32*b - 91 + 36/5*b**5 + 40*b**2 + 248/3*b**3 + 43*b**4. What is a in m(a) = 0?
-2, -1, 2/9
Suppose 4*l = 163 - 99. Determine v so that -v**2 + 8*v - l*v - 6*v + 30 - 15*v = 0.
-30, 1
Let d = 10841/42948 - 26/10737. Determine v, given that 5/2*v - d*v**3 + 0 - 9/4*v**2 = 0.
-10, 0, 1
Let a(r) be the first derivative of -89 + 1/9*r**3 + 0*r + 0*r**2 + 1/4*r**4 + 1/5*r**5 + 1/18*r**6. Factor a(x).
x**2*(x + 1)**3/3
Let l(w) = 16*w**2 + 343*w + 1793. Let j be l(-9). Solve -2/11*f**j + 48/11 - 10/11*f = 0.
-8, 3
Suppose -3*r = -20*r - 114*r + 262. Let b = 4/7 - 6/35. What is s in -3/5*s - b*s**r - 1/5 = 0?
-1, -1/2
Suppose -3*n - 16 = -4*u, -2*n - 2 + 14 = 3*u. Let z be (-7)/(42/u) - 21/(-18). Factor -1/4*a + z - 1/2*a**2 + 1/4*a**3.
(a - 2)*(a - 1)*(a + 1)/4
Let w = 1911 - 468. Let h = w + -1441. What is t in -3*t**h - 12/5 + 63/5*t = 0?
1/5, 4
Let o(j) = j**3 - 9*j**2 - 12*j + 24. Let t be o(10). Let p(l) be the third derivative of -1/18*l**t + 1/90*l**5 + 0*l + 18*l**2 + 0 - 1/3*l**3. Solve p(d) = 0.
-1, 3
What is o in 20*o + 3*o**2 + 13*o**2 + 5*o**2 - 26*o**2 = 0?
0, 4
Let i be (4/3 - 2)/(64/17280). Let t be (7 + i/24)/(-1). Find s such that 1/8*s**3 - t - 3/4*s**2 + 9/8*s = 0.
1, 4
Let p(s) be the second derivative of s**6/75 - 69*s**5/100 + 47*s**4/30 + 57*s**3/10 - 99*s**2/5 - 33*s + 24. Determine t, given that p(t) = 0.
-3/2, 1, 2, 33
Let s(a) = 8*a**3 + a - 1. Let m be s(0). Let d be (-63)/(-56) - -3 - (-4)/m. Let -7/8*x**2 - 15/8*x - 9/8 - d*x**3 = 0. What is x?
-3, -1
Let f be (-2 - 96/(-51)) + (-554)/(-85) + (-136)/34. Factor f*t + 7/5*t**2 - 4/5.
(t + 2)*(7*t - 2)/5
Let l(n) = -2*n**3 - n - 1. Let x(a) = -23*a**3 - 6*a**2 + 25*a - 51. Let u(o) = -22*l(o) + 2*x(o). Determine b, given that u(b) = 0.
-10, 2
Let s be 24068/1641*12*1/44. Factor -2/5*l**3 + s - 8/5*l**2 + 14/5*l.
-2*(l - 2)*(l + 1)*(l + 5)/5
Let l be 8 - 7 - 8/(-4). Factor -76*v**2 - 6*v**2 - 23*v**2 + 605 - 495*v - 5*v**l.
-5*(v - 1)*(v + 11)**2
Let s be 21/(-168)*(-4)/(-18)*-12. Let 5/3*t - s*t**2 - 4/3 = 0. What is t?
1, 4
Let g(c) be the first derivative of c**4/3 - 292*c**3/9 + 2486*c**2/3 - 8228*c + 5242. Determine f so that g(f) = 0.
11, 51
Find n, given that 12*n**2 + 6*n**2 + 2*n**2 - 39 + 65*n - 291 = 0.
-6, 11/4
Factor 4*x - 48/5 - 2/5*x**3 + 6/5*x**2.
-2*(x - 4)*(x - 2)*(x + 3)/5
Let y(i) = -183*i - 911. Let x be y(-5). Let l(n) be the second derivative of 0*n**2 + 0 + 0*n**3 + 1/80*n**5 + 4*n + 0*n**x. Find g, given that l(g) = 0.
0
Solve -168*w**2 + 1060*w**3 + 73 - 4336*w**4 + 305 - 900*w + 4286*w**4 = 0.
-1, 3/5, 21
Let k(i) = i**4 + 15*i**3 + 5*i. Let g(u) = -106*u**4 + 1582*u**3 - 5138*u**2 - 862*u. Let o(s) = -g(s) + 4*k(s). Factor o(d).
2*d*(d - 7)**2*(55*d + 9)
Suppose -5*f - 64*g + 62*g + 270 = 0, 2*g - 108 = -2*f. Factor -111*k**2 + 3*k**3 - 61*k**2 + f*k**2 + 58 - 27*k + 83*k + k**3.
2*(k - 29)*(k - 1)*(2*k + 1)
Let r be (94/564)/(-1*1/(-12)). Factor 3/4*x**3 + 33/4*x - 21/4*x**r - 15/4.
3*(x - 5)*(x - 1)**2/4
Suppose -190/3*d + 188 + 2/9*d**2 = 0. Calculate d.
3, 282
Let a(j) be the second derivative of 2*j**7/21 + 56*j**6/15 + 52*j**5/5 - 2*j**4/3 - 106*j**3/3 - 52*j**2 - j + 95. Factor a(c).
4*(c - 1)*(c + 1)**3*(c + 26)
Let b = 3316/555 - 530/111. Factor 78/5*y + 132/5 + b*y**2.
6*(y + 2)*(y + 11)/5
Let g(n) be the first derivative of n**5/60 + 7*n**4/18 + 10*n**3/3 + 12*n**2 - 28*n + 63. Let f(u) be the first derivative of g(u). Factor f(c).
(c + 2)*(c + 6)**2/3
Let y(o) = -o**3 - o**2 + 7*o + 2. Let i be y(0). Suppose 10*z**2 + 0*z**2 + z**i + z**3 + 12*z**2 - 7*z**2 = 0. Calculate z.
-16, 0
Let c be (-2)/(-6) + (-2888)/9120. Let t(s) be the second derivative of 14*s + 1/18*s**3 - c*s**5 + 0*s**4 + 0 + 0*s**2. Factor t(f).
-f*(f - 1)*(f + 1)/3
Let n(s) = 75*s**4 + 48*s**3 + 21*s**2 - 108*s - 180. Let j(h) = -2*h**4 - h**3 - h**2 + 2. Let u(i) = 36*j(i) + n(i). Factor u(a).
3*(a - 3)*(a + 2)**2*(a + 3)
Let x(u) be the third derivative of -u**6/1320 + u**5/660 + u**4/11 + 6*u**3/11 + 4*u**2 - 250. What is l in x(l) = 0?
-3, -2, 6
Let d be 7 + (7280/(-861) - -2). Let i = d - -5/41. Determine t so that 0 + 1/3*t**2 + 1/3*t**4 + i*t**3 + 0*t = 0.
-1