- 22/9*q**3 - 56/9*q**2 + 0 + 26/9*q**4 = 0. Calculate q.
-1, -2/13, 0, 2
Suppose 21/2*l**4 - 126117/2*l + 41229/4*l**2 - 4551/8*l**3 + 10935 = 0. What is l?
5/28, 18
Let c be 12/(-8) - (-7)/((-14)/675). Let b = -339 - c. Factor -1/7*w**3 + 4/7*w**2 + 0*w + b.
-w**2*(w - 4)/7
Let w(d) be the second derivative of 1/2*d**2 - 102*d + 0 + 1/3*d**3 + 1/12*d**4. Factor w(z).
(z + 1)**2
Let l(j) be the first derivative of -5*j**4/4 - 50*j**3/3 - 85*j**2/2 - 40*j - 725. Determine g so that l(g) = 0.
-8, -1
Let h(i) be the first derivative of -i**4/4 - 64*i**3/3 - 183*i**2/2 + 4040. Factor h(t).
-t*(t + 3)*(t + 61)
Suppose l - 15 = 66. Let j = -81 + l. Find n, given that -n**2 + n + 0*n - 5*n + j*n**2 = 0.
-4, 0
Solve -36 + 2/3*g**2 + 106/3*g = 0.
-54, 1
Let h = -82818 - -82821. Factor 0 + 18/5*u + 33/5*u**2 + 18/5*u**h + 3/5*u**4.
3*u*(u + 1)*(u + 2)*(u + 3)/5
Let f(w) be the third derivative of -w**6/40 - 153*w**5/4 - 195075*w**4/8 - 16581375*w**3/2 - 5*w**2 - 20. Factor f(o).
-3*(o + 255)**3
Let k be (5/4)/((-57)/76 + 1). Factor -3/2*w - 8/3*w**2 - 1/6*w**k - 1/3 - w**4 - 7/3*w**3.
-(w + 1)**4*(w + 2)/6
Let m be ((-102)/1190)/((-4)/28). Find z such that 96/5*z + 33/5*z**2 + m*z**3 + 84/5 = 0.
-7, -2
Suppose 2*o + 4*g + 16 = 0, 0 = o - 5*g + 144 - 171. Solve -6 - 3/2*l**3 + 21/2*l - 3*l**o = 0 for l.
-4, 1
Determine m so that -52 - 368/7*m - 4/7*m**2 = 0.
-91, -1
Solve -141*q - 2*q**4 - 96*q + 313*q - 2*q**4 - 128*q - 44*q**2 + 48 + 52*q**3 = 0 for q.
-1, 1, 12
Let -36 - 2*q**2 - 453 + 70*q - 119 = 0. Calculate q.
16, 19
Let w = -514 - -515. Let x = 17/11 - w. Factor x*s**5 + 0 - 6/11*s + 0*s**3 - 12/11*s**4 + 12/11*s**2.
6*s*(s - 1)**3*(s + 1)/11
Let v(p) = p**2 + 20*p - 19. Let m be v(1). Determine o, given that -12*o - 13*o**4 - 24*o**m - 10*o**3 - 2*o**3 - 3*o**3 + 10*o**4 + 0*o**3 = 0.
-2, -1, 0
Let w(j) = 3*j**3 - 9*j**2 - 15*j - 3. Let x(s) = 6*s**3 - 18*s**2 - 29*s - 5. Let d be 19 + 3/9*-3. Let p = d - 23. Let k(b) = p*w(b) + 3*x(b). Factor k(g).
3*g*(g - 4)*(g + 1)
Let x = 799 - 473. Let g be (-6)/(-2) - x/(-4)*8. Factor -4*i**2 - 4*i**5 - 12*i**4 - 655*i - 12*i**3 + g*i.
-4*i**2*(i + 1)**3
Let q(m) be the second derivative of -44/21*m**3 - 121/42*m**4 - 38*m - 4/7*m**2 + 0. Factor q(h).
-2*(11*h + 2)**2/7
Let v(y) = y**2 - 5*y. Let l(m) = 13*m**2 + 1484*m + 511. Let h(o) = l(o) - 10*v(o). Factor h(w).
(w + 511)*(3*w + 1)
Find p, given that -15*p**4 + 1/2*p**5 + 0*p**2 + 29/2*p**3 + 0*p + 0 = 0.
0, 1, 29
Let u(f) be the first derivative of -f**5/10 - 17*f**4/4 + 82*f**3/3 + 114*f**2 - 1833. Factor u(a).
-a*(a - 6)*(a + 2)*(a + 38)/2
Factor -215/7 - 209/7*q + 6/7*q**2.
(q + 1)*(6*q - 215)/7
Let r(u) be the third derivative of -151*u**2 - 8/21*u**7 + 0*u + 5/336*u**8 + 0 - 20*u**5 + 375/8*u**4 + 0*u**3 + 47/12*u**6. Factor r(j).
5*j*(j - 5)**2*(j - 3)**2
Suppose -5*o - a = -523, 14*o - 13*o = 3*a + 95. Let j = 106 - o. Let -2/11*t + 0*t**j + 0 + 12/11*t**3 - 16/11*t**4 + 6/11*t**5 = 0. Calculate t.
-1/3, 0, 1
Factor -290*d + 0*d**2 - 16*d**3 + 303*d - 4*d**2 - 4*d**4 + 11*d.
-4*d*(d - 1)*(d + 2)*(d + 3)
Let s be (-2110)/8*(-204)/680. Let g = s - 79. Factor 1/4 + 3/8*i**2 - 5/8*i + 1/8*i**3 - g*i**4.
-(i - 1)**3*(i + 2)/8
Let n(c) be the third derivative of -c**7/42 - 7*c**6/8 - 11*c**5/4 + 505*c**4/24 + 95*c**3 + 2*c**2 - 497*c - 1. Let n(r) = 0. Calculate r.
-19, -3, -1, 2
Let m(l) = -11*l + 57. Let v be m(4). Suppose -4*n + 48*w = 49*w - v, 4*w + 2 = 2*n. Factor -1/4*k**n - 1/4 - 3/4*k - 3/4*k**2.
-(k + 1)**3/4
Factor 816/5 + 14/5*f - 2/5*f**2.
-2*(f - 24)*(f + 17)/5
Let x(g) be the first derivative of 2*g**6/15 - 6*g**5/5 - 12*g**4 - 80*g**3/3 + 27*g + 166. Let i(o) be the first derivative of x(o). Factor i(z).
4*z*(z - 10)*(z + 2)**2
Let t(q) = -86*q**2 - 34*q - 540. Let o(d) = 22*d**2. Let g(p) = 4*o(p) + t(p). Factor g(z).
2*(z - 27)*(z + 10)
Factor 3/4*o**2 + 3435/4 - 1719/2*o.
3*(o - 1145)*(o - 1)/4
Let b(x) = 18*x**2 - 2691*x - 448845. Let a(k) = -5*k**2 + 673*k + 112210. Let v(f) = 22*a(f) + 6*b(f). Factor v(u).
-2*(u + 335)**2
Suppose -123*z - 576 = -139*z. Suppose 0 = -6*i - z*i + 126. Solve -1/2*f**2 - i*f - 9/2 = 0 for f.
-3
Let v(g) be the first derivative of g**4 - 200*g**3/3 + 1250*g**2 + 639. Determine c, given that v(c) = 0.
0, 25
Let y = 583 + -1113. Let k = y - -530. Let -3/5*s**5 + k + 0*s**3 - 6/5*s**2 + 3/5*s + 6/5*s**4 = 0. What is s?
-1, 0, 1
Let o(q) be the second derivative of -q**5/20 - 5*q**4/24 + 2*q**3/3 + 5*q**2 - 952*q. Factor o(l).
-(l - 2)*(l + 2)*(2*l + 5)/2
Let z(q) be the first derivative of -q**6/10 - 77*q**5/50 + 19*q**4/40 + 77*q**3/30 - 13*q**2/20 - 2446. Determine x so that z(x) = 0.
-13, -1, 0, 1/6, 1
Let h(g) = -g**3 + 111*g**2 + 3735*g + 245. Let c be h(-27). Factor 96/7*n - 32/7 - 96/7*n**c + 40/7*n**3 - 6/7*n**4.
-2*(n - 2)**3*(3*n - 2)/7
Let z(a) = -a**3 + 2*a + 2. Let c(u) = -32*u**3 - 9456*u**2 - 6724*u + 2704. Let f(h) = c(h) - 4*z(h). Factor f(i).
-4*(i + 1)*(i + 337)*(7*i - 2)
Let w = 38 - 38. Suppose 2*g - 3*x - 1 = 0, w*g + 2*x + 4 = 3*g. Factor -1 + 3*a**3 + 0*a - g*a**3 - 15*a**2 + 16*a**2 - a.
(a - 1)*(a + 1)**2
Let n be 64/160 - 4/(-40). Let f(a) be the second derivative of -23*a + 0*a**2 + 0 - n*a**4 + 0*a**3 + 3/20*a**5. Factor f(v).
3*v**2*(v - 2)
Let y = 5 - 2. Let j = 35/1363 + 1188/6815. Solve j*o - 1/10*o**4 + 0*o**2 - 1/5*o**y + 1/10 = 0 for o.
-1, 1
Let m(g) be the first derivative of -1/18*g**4 - 7/3*g**2 - 16 + 20/9*g + 8/9*g**3. Find z such that m(z) = 0.
1, 10
Let k(s) = -166*s**4 - 22*s**3 + 430*s**2 + 364*s - 58. Let i(o) = -15*o**4 - 2*o**3 + 39*o**2 + 33*o - 5. Let j(a) = -68*i(a) + 6*k(a). Factor j(g).
4*(g - 2)*(g + 1)**2*(6*g + 1)
Let d(h) be the first derivative of -4*h**5/35 + 4*h**3/3 - 12*h**2/7 - 150. Factor d(p).
-4*p*(p - 2)*(p - 1)*(p + 3)/7
Let j(n) = -n - 4 + 6 - 32*n**3 + 33*n**3. Let u be j(1). What is s in -3/4*s**5 + 3*s**4 - 3/2*s**u + 15/4*s - 3*s**3 - 3/2 = 0?
-1, 1, 2
Let y(a) = 1690*a - 10099. Let p be y(6). Let w(s) be the second derivative of 0 - 4*s**3 - p*s - 5/3*s**4 + 1/5*s**5 + 0*s**2. Factor w(b).
4*b*(b - 6)*(b + 1)
Let c = 25 - 11. Let k = -506 + 508. Factor -4 - c*y**3 - 10*y**k + 19*y**3 + 4 + 5*y.
5*y*(y - 1)**2
Suppose 7322 - 44*i - 24*i + 6996 - 2*i**2 - 14768 = 0. What is i?
-25, -9
Suppose 0 = 3*i - 5*c - 18 + 57, 37 = -4*i + 5*c. Factor 2/9*a - 2/9*a**4 + 4/9*a**i - 2/9 + 2/9*a**5 - 4/9*a**3.
2*(a - 1)**3*(a + 1)**2/9
Factor -35862/7*c - 2/7*c**3 + 526/7*c**2 + 166410/7.
-2*(c - 129)**2*(c - 5)/7
Let n be (-9 - 48)*4/10. Let q = n + 813/35. Factor -3/7*a**2 + q*a + 0.
-3*a*(a - 1)/7
Factor 7532*b + 1438*b**2 + 1445*b**2 - 2885*b**2 - 7091378.
-2*(b - 1883)**2
Let k(n) be the second derivative of 80802*n**5/5 - 14539*n**4/4 + 205*n**3/3 - n**2/2 + 6562*n. Factor k(w).
(8*w - 1)*(201*w - 1)**2
Let d be (-474390)/(-239454) - 2/(-106). Determine t so that -72*t**d + 27/2*t**3 - 24 + 78*t = 0.
2/3, 4
Find j, given that 26*j**3 - 8*j - 55*j**3 + 464*j**2 - 464 + 12*j + 25*j**3 = 0.
-1, 1, 116
Factor 560/3*x + 80/3 + 25/2*x**3 - 295/3*x**2.
5*(x - 4)**2*(15*x + 2)/6
Let o(a) be the second derivative of a**6/135 - 23*a**5/90 - 41*a**4/27 + 104*a**3/27 + 3059*a. Let o(h) = 0. Calculate h.
-4, 0, 1, 26
Suppose 25*s + 9*s = -272. Let k(v) = 2*v**2 + 12*v - 30. Let c be k(s). Factor 1/6*t**c - 1/3*t + 1/6.
(t - 1)**2/6
Solve 14/5*z**3 - 878/5*z + 116/5*z**2 - 52 = 0 for z.
-13, -2/7, 5
Let x(r) = r**2 + 5*r - 17. Let m be x(-7). Let v be (30/(-45) + (-2)/m)/2. Factor -3/2*t**4 + v - 3*t**3 + 9*t + 15/2*t**2.
-3*t*(t - 2)*(t + 1)*(t + 3)/2
Let j(n) be the first derivative of 6/5*n + 2/5*n**2 - 2/15*n**3 - 85. Factor j(q).
-2*(q - 3)*(q + 1)/5
Let c(h) be the second derivative of h**4/60 - 31*h**3/10 + 91*h**2/5 + 2520*h. Suppose c(b) = 0. What is b?
2, 91
Let t(s) be the first derivative of 3/7*s**2 + 3 - 9/7*s + 1/7*s**3. Solve t(n) = 0 for n.
-3, 1
Factor 36/7*f + 2/7*f**2 + 162/7.
2*(f + 9)**2/7
Let z(r) be the first derivative of -2*r**3/33 + 199*r**2/11 - 12230. Let z(a) = 0. What is a?
0, 199
Let h(n) be the first derivative of 5*n**4 - 96*n**3 - 1414*n**2 + 1176*n + 8929. Find t, given that h(t) = 0.
-7, 2/5, 21
Let g = -485498 + 3398487/7. Factor -g*j**2 - 144/7 - 24/7*j.
-(j + 12)**2/7
Let s(m) = -m + 45. Let x be s(10). Fact