j(u) = 0 for u.
1, 24/11
Let v be (1*66 + 2)/((-22)/(-99)). Determine k so that 3*k**4 - 8*k**3 - v*k**2 + 302*k**2 - 7*k**4 = 0.
-1, 0
Let r(s) be the third derivative of 8/33*s**3 + 1/1155*s**7 - 3/110*s**5 + s**2 - 14 + 0*s + 1/330*s**6 - 1/66*s**4. Find j such that r(j) = 0.
-4, -1, 1, 2
Let t = 46 - 42. Suppose -4*x**t - 32*x**3 - 23*x**3 + 35*x**3 - 24*x**3 = 0. Calculate x.
-11, 0
Let y = 1151/2 - 3449/6. Let t(d) be the third derivative of 1/140*d**6 + y*d**4 + 0*d + 16/21*d**3 - 26*d**2 + 0 + 5/42*d**5. Factor t(j).
2*(j + 4)**2*(3*j + 1)/7
Factor -2/3*v**2 + 1756/3*v - 385442/3.
-2*(v - 439)**2/3
Let s(a) = -13*a - 180. Let w be s(-25). What is j in 135*j**2 - 150*j + w*j**2 - 275*j**2 = 0?
0, 30
Factor -7918*f**3 - 8002*f**3 - 723*f**2 + 2105*f**2 + 3702*f - 2*f**4 + 16082*f**3 + 3204.
-2*(f - 89)*(f + 2)*(f + 3)**2
Let o be (-2)/(-5) + (40 - (6318/195 - 10)). Factor -8*f - o - 2/3*f**2.
-2*(f + 3)*(f + 9)/3
Let j be 15 + ((-6)/9)/(70/1365). Factor 4 + 1/2*s**j + 9/2*s.
(s + 1)*(s + 8)/2
Let h(j) be the second derivative of j**7/126 + 2*j**6/15 + 41*j**5/60 + 5*j**4/6 + 973*j. Factor h(q).
q**2*(q + 1)*(q + 5)*(q + 6)/3
Let d(j) = -23*j**2 - 50*j + 204. Let t(p) = 19*p**2 + 48*p - 202. Let f(m) = 5*d(m) + 6*t(m). Determine x so that f(x) = 0.
6, 32
Suppose -23 = -4*n + d, -n + 3725*d + 58 = 3720*d. Solve -4/7*c + 12/7 - 3/7*c**2 + 1/7*c**n = 0 for c.
-2, 2, 3
Let b = 2/11 - 16/209. Let j = 149670 - 149668. Factor -b*v**j - 450/19 - 60/19*v.
-2*(v + 15)**2/19
Let v(p) be the first derivative of p**4/26 - 22*p**3/39 + 23*p**2/13 + 70*p/13 + 14973. Solve v(c) = 0.
-1, 5, 7
Factor 13/5*i**4 + 1/5*i + 0 - 5*i**3 + 11/5*i**2.
i*(i - 1)**2*(13*i + 1)/5
Suppose 6 = 4*y - 2. Let j = 4289/18 + -2140/9. Factor 0*d - 1/4*d**4 + 0*d**3 + j*d**y - 1/4.
-(d - 1)**2*(d + 1)**2/4
Let v(r) = r**3 - 4*r**2 - 3*r + 1. Let q(w) = 2*w**3 + 7*w**2 - 291*w - 543. Let h(b) = -q(b) - 3*v(b). Factor h(o).
-5*(o - 9)*(o + 2)*(o + 6)
Let f(o) be the second derivative of 7*o**6/30 + 11*o**5/5 + 11*o**4/4 - 32*o**3/3 - 10*o**2 + 5*o + 59. Solve f(j) = 0.
-5, -2, -2/7, 1
Let y(c) be the second derivative of 1/12*c**4 + 0 - 25/8*c**2 - 29/40*c**5 + 5/2*c**3 + 44*c - 1/84*c**7 + 7/40*c**6. Solve y(k) = 0.
-1, 1/2, 1, 5
Let v(w) = -7*w + w**2 + 7*w - 7 - w - 2*w**3 + 6. Let a(n) = 2*n**3 - 7*n**2 + 2. Let o(x) = -a(x) - 2*v(x). Solve o(z) = 0 for z.
-2, -1/2, 0
Let d(s) be the second derivative of 3249/4*s**2 + 0 + 1/24*s**4 - 133*s - 19/2*s**3. Factor d(g).
(g - 57)**2/2
Let k(z) = -17*z - 49. Suppose 0 = 193*p - 194*p - 3. Let w be k(p). Factor -4/3 - q**w + 8/3*q.
-(q - 2)*(3*q - 2)/3
Let k be 33 + -39 + 20*1. Let v(j) = -4*j**2 + 40*j - 90. Let l(n) = 20*n**2 - 200*n + 452. Let s(o) = k*v(o) + 3*l(o). Determine a, given that s(a) = 0.
4, 6
Let q = 8473 + -1245529/147. Let l(w) be the second derivative of 0 - 21*w - q*w**7 - 1/35*w**5 + 0*w**4 + 0*w**2 + 0*w**3 + 4/105*w**6. Factor l(k).
-4*k**3*(k - 1)**2/7
Let g = 1516 + -1502. Suppose 84*t = g*t. Factor -4/5*o**3 - 2*o**5 + t + 0*o**2 + 14/5*o**4 + 0*o.
-2*o**3*(o - 1)*(5*o - 2)/5
Let n(r) = -r**2 + 15*r - 10. Let a be n(3). Suppose 5*m + 18 - 2*m**4 - a*m**2 - 25*m + 20*m**3 + 10*m**2 = 0. Calculate m.
-1, 1, 9
Let f(a) be the third derivative of 0 - 2/15*a**5 + 0*a**4 + 1/180*a**6 - 90*a**2 + 0*a + 256/9*a**3. Factor f(g).
2*(g - 8)**2*(g + 4)/3
Let h(f) be the second derivative of 1/3*f**2 - 5/27*f**3 + 1/54*f**4 + 0 + 1/90*f**5 + 11*f. Factor h(o).
2*(o - 1)**2*(o + 3)/9
Let d(o) be the third derivative of 2/105*o**7 + 8/3*o**4 + 1/84*o**8 + 81 + o**2 - 4/5*o**6 + 8/3*o**5 - 32*o**3 + 0*o. What is g in d(g) = 0?
-6, -1, 2
Let w(c) = 190*c**2 + 2105*c + 55. Let y(g) = 7*g**2 + 78*g + 2. Let n be (-4)/((-8)/(-24) + (-21)/9). Let z(i) = n*w(i) - 55*y(i). Factor z(b).
-5*b*(b + 16)
Let 31/2 - 95/2*s**2 - 3/2*s**3 - 61/2*s = 0. What is s?
-31, -1, 1/3
Let n be 16/(-88) + 2/11. Suppose -3*s - 2 = -2*k, 5*s - 3*k + 4*k - 14 = n. Factor 0 + 2/7*g**s + 6/7*g.
2*g*(g + 3)/7
Factor -128 + 3*a**3 + 136*a**2 - 79*a**2 - 4*a**3 - 97*a**2 - 3*a**3 - 128*a.
-4*(a + 2)*(a + 4)**2
Let g(n) = -n**3 - 13*n**2 + 29*n - 13. Let d be g(-15). What is a in -841 + 1818*a**d - 912*a**2 - 58*a - 907*a**2 = 0?
-29
Factor -147*x + x**3 - 72*x**2 - 495571 + 0*x**3 + 495497.
(x - 74)*(x + 1)**2
Let o(p) be the first derivative of -3*p**4/14 - 188*p**3/7 - 6627*p**2/7 + 1320. Factor o(v).
-6*v*(v + 47)**2/7
Let q(n) = 318*n**3 + 210*n**2 + 7556*n + 68. Let h(j) = 28*j**3 + 19*j**2 + 687*j + 6. Let f(b) = -68*h(b) + 6*q(b). Solve f(s) = 0 for s.
-15, 0, 23
Let v(c) = -19*c**2 - 4900*c - 1987820. Let x(l) = -6*l**2 - 1633*l - 662606. Let n(j) = -5*v(j) + 16*x(j). Solve n(p) = 0.
-814
Let z(h) be the second derivative of -h**5/20 - h**4/4 + h**3/6 + 3*h**2/2 - 14*h + 9. Solve z(y) = 0.
-3, -1, 1
Let m be (-1)/(44/46 - 1) + -2. Find c, given that -4*c**3 - 2*c**3 + 227*c + 3*c**3 - m*c**2 - 251*c + 48 = 0.
-4, 1
Factor -26*x**3 - 15567*x**2 + 8509*x - 24480*x**2 - 633*x**2 - 2540 - 28834*x - 54*x**3.
-5*(x + 508)*(4*x + 1)**2
Let l(y) = 104*y**2 - 80*y + 642. Let b(u) = 573*u**2 - 401*u + 3209. Let f(n) = -2*b(n) + 11*l(n). Factor f(g).
-2*(g - 7)*(g + 46)
Let r be (15/75 + (-29)/20)*-4. Let p be (3/(-60))/(r/(-20)). Solve 1/5 - 1/5*y**3 + 1/5*y - p*y**2 = 0.
-1, 1
Let c(s) be the first derivative of s**4/4 - 99*s**3 - 1991. Factor c(p).
p**2*(p - 297)
Let u(x) be the first derivative of 1/180*x**5 + 1/2*x**2 - 1/24*x**4 + 0*x**3 + 0*x + 3. Let k(w) be the second derivative of u(w). Let k(c) = 0. Calculate c.
0, 3
Let i(l) be the second derivative of -3*l**5/10 + 41*l**4/6 + 16*l**3/3 - 28*l**2 - 100*l + 6. Factor i(s).
-2*(s - 14)*(s + 1)*(3*s - 2)
Suppose -5*i - 3*w = -6, -102*i + 12 = -104*i - 6*w. Factor 0 + 44/7*b - 90/7*b**2 + 48/7*b**i - 2/7*b**4.
-2*b*(b - 22)*(b - 1)**2/7
Let x be (-174)/(-4)*(-8 + (3 - 3)). Let d be 9*(7 + x/54). Factor 65*o**2 + d + 85/2*o.
5*(2*o + 1)*(13*o + 2)/2
Let l(i) be the third derivative of -2*i**7/105 - 17*i**6/6 + i**5/5 + 253*i**4/6 - 340*i**3/3 - 723*i**2 + 4*i. Determine r so that l(r) = 0.
-85, -2, 1
Let i(r) be the second derivative of 6*r**2 + 0 + 1/15*r**6 + 1/3*r**3 - 1/10*r**5 + 47*r - 7/6*r**4. Find c, given that i(c) = 0.
-2, -1, 1, 3
Let n be ((-5 - -6) + -2 + -21)/(-2). Suppose -4*d - 1 = -4*q + n, 3*q - 15 = 0. Factor 10*l + 338 + 5*l**d - 338.
5*l*(l + 2)
Let g(v) = -v**3 + 8*v**2 + 92*v + 137. Let w be g(-5). Let -5/2*r**3 - 65/2*r**w + 0 - 55*r = 0. Calculate r.
-11, -2, 0
Let m = 33 + -37. Let q be (-5)/(-2) + ((-36)/8 - m). Determine k, given that 4*k**3 + 11*k**q - 9*k**3 + 4*k**2 - 13*k - 2*k + 5 = 0.
1
Let j(d) be the third derivative of 0*d**3 + 0*d**5 - 1/840*d**6 + 1/735*d**7 - 1/2352*d**8 + 0*d**4 + 3 - d**2 + 0*d. Factor j(o).
-o**3*(o - 1)**2/7
Let g = 513491 + -3602082/7. Let a = g - -1093. Factor -a*i**2 + 2/7*i**3 + 6/7*i - 2/7.
2*(i - 1)**3/7
Suppose 10*r + 9 = 9. Suppose z - 4 = -r. Factor -p + 14*p**2 + 25*p**z + 3*p**2 + 28*p**2 + 11*p + 60*p**3.
5*p*(p + 1)**2*(5*p + 2)
Let l = -149 - -48. Let r = l + 105. Solve 0*c**3 + c**5 - 404*c**4 + 406*c**r + c**3 = 0.
-1, 0
Let w(z) = -6*z**2 - 28*z - 18. Let x(o) = 31*o**2 + 142*o + 89. Let k(a) = -a**2 + 11. Let c be k(-3). Let h(v) = c*x(v) + 11*w(v). Factor h(m).
-4*(m + 1)*(m + 5)
Let j be (16857/(-42))/(5 + 102/(-24)). Let s = 536 + j. Find y, given that s*y**2 + 2/7*y**4 - 8/7*y**3 + 0 + 0*y = 0.
0, 1, 3
Let v(c) = 9*c**2 - 3*c - 6. Let r(j) = -7*j**2 + 3*j + 5. Suppose 18 = -5*i + 4*p, i + 5*p = 5*i + 9. Let w(s) = i*r(s) - 5*v(s). Let w(f) = 0. Calculate f.
-1, 0
Let j(m) be the third derivative of -2*m**6/75 - m**5/60 + 10*m**4/3 + 25*m**3/6 + 24*m**2 + 18*m. Find r such that j(r) = 0.
-5, -5/16, 5
Let v be (-2)/12*(-22 + 21) + (-2274)/(-180). Let -1/5*f**5 + 11/5*f**4 - 36/5*f**3 + v*f + 16/5*f**2 + 0 = 0. What is f?
-1, 0, 4
Suppose 15*z = 101 - 11. Find g such that -47*g**2 + 20*g**4 - z*g + 6*g**3 + 44*g**2 - 17*g**4 = 0.
-2, -1, 0, 1
Let d be 12/(-4)*(-11)/(-3). Let n be (-1)/d - 4180/(-1936). Find j such that n + 1/4*j**2 + 3/2*j = 0.
-3
Let q(y) be the second derivative of -y**6/180 - y**5/10 + 17*y**3/2 - y**2 - 13*y + 2. Let h(u) be the second derivative of q(u). Let h(c) = 0. What is c?
-6, 0
Let a(b) =