 4/5*k**3 - 48/5*k**2 + 54 + 36/5*k = 0.
-3, 3, 5
Let y(i) = 2*i**3 + 8*i**2 - 15. Let l be y(-3). Determine k so that k**3 + 42*k**5 - 46*k**5 - 20*k**4 + 20*k**2 + 3*k**l = 0.
-5, -1, 0, 1
Suppose -2*u - u - 39 = m, -3*m - 4*u - 122 = 0. Let s = m - -44. Suppose 5*q**4 - q**2 - 6*q**s + 5*q**3 + q**5 + 2*q**2 - 6*q**5 = 0. What is q?
-1, 0, 1
Suppose -73 + 8 = -3*w + 2*z, -4*w + 72 = z. Let t(s) be the first derivative of -w - 2/45*s**3 - 2/75*s**5 + 0*s + 0*s**2 - 1/15*s**4. Factor t(y).
-2*y**2*(y + 1)**2/15
Let o be (2 - 5) + 560/504*9/2. Solve 2/3 + 5/6*m + 1/6*m**o = 0 for m.
-4, -1
Let u = 66991 - 66989. What is z in -289/4*z**u - 49 - 119*z = 0?
-14/17
Let u = 53635/2 + -25145. Let l = 1675 - u. Factor -l*x + 0 + 1/4*x**2.
x*(x - 10)/4
Let v(l) be the second derivative of -1/42*l**4 + 1 - 4/7*l**2 - 4/21*l**3 - 87*l. Solve v(g) = 0.
-2
Let m(k) be the third derivative of 0*k + 1/1260*k**7 + 1/48*k**4 - 22 + k**2 - 1/240*k**6 - 1/18*k**3 + 1/360*k**5. Factor m(o).
(o - 2)*(o - 1)**2*(o + 1)/6
Let o = -611/1930 + 119/193. Let b(a) be the second derivative of -5*a - a**3 + 3/20*a**5 + 0*a**2 - 5 + o*a**6 + 1/14*a**7 - 3/4*a**4. Factor b(p).
3*p*(p - 1)*(p + 1)**2*(p + 2)
Let q(d) be the first derivative of 21/4*d**3 - 15/32*d**4 + 125 + 87/16*d**2 - 27/4*d. Factor q(i).
-3*(i - 9)*(i + 1)*(5*i - 2)/8
Factor 0 - 2/5*n**4 + 0*n**2 + 0*n + 184/5*n**3.
-2*n**3*(n - 92)/5
Let z(h) = 55*h + 45*h - 85 + 3*h**2 - 45*h + 88 + 23*h. Let f be z(-26). Let 0 + 4/11*i**f + 0*i**2 + 0*i + 2/11*i**4 = 0. What is i?
-2, 0
Let l be (-6)/14 - (-62)/14. Let a be (10/15)/(-1)*-3. Factor -7*y**2 + 9*y**a - 4*y**3 - l*y**4 + 6*y**2.
-4*y**2*(y - 1)*(y + 2)
Let n = -465 + 467. Solve 0*x**2 + x**3 + 2 + 5*x**2 + 5*x**n - x - 12*x**2 = 0 for x.
-1, 1, 2
Let n(s) = s**2 + 2*s - 62. Let m be n(11). Suppose -5*t**2 - 154*t - 1034 + m*t - 187*t + 1044 - 3390 = 0. What is t?
-26
Let x(u) = 19 - 15*u**2 + 2*u**3 - 2*u - 2*u - u**3 + 3*u. Let k be x(15). Factor 2*j**3 + 25*j - 17*j**3 + 0*j**k - 5*j - 5*j**4.
-5*j*(j - 1)*(j + 2)**2
Let y = -97 + 88. Let p be 75/(-18) - 6/y - -5. Factor 0*i + 0 - 3/2*i**3 - 3/2*i**2 + 3/2*i**4 + p*i**5.
3*i**2*(i - 1)*(i + 1)**2/2
Let l(p) be the third derivative of 0*p + 3/2*p**3 + 0*p**4 + 0 + 17/360*p**6 - 1/40*p**5 + 12*p**2. Let f(k) be the first derivative of l(k). Factor f(r).
r*(17*r - 3)
Let z(m) = -m**2 - 15*m - 15. Let r be z(-14). Let i be (r/2)/(15/(-270)). Suppose 0*u - 3*u**3 - 4*u + 6*u + i*u**4 + u - 9*u**2 = 0. What is u?
-1, 0, 1/3, 1
Let u = 2/1137791 + 2275568/7964537. Let 4/7 + u*x**2 + 6/7*x = 0. What is x?
-2, -1
Let i(g) be the third derivative of g**6/360 - 17*g**5/90 + 7*g**4/9 + 128*g**3/9 + 2409*g**2 - 2*g - 2. Factor i(j).
(j - 32)*(j - 4)*(j + 2)/3
Let b(x) = -6*x**4 - 9*x**3 - 40*x**2 - 42*x - 19. Suppose 12*j + 21 = 11*j. Let t(h) = -h**4 - h**2 - h - 1. Let i(g) = j*t(g) + 3*b(g). Solve i(d) = 0 for d.
-1, 12
Let l(x) = -6*x**2 - 822*x + 201. Let t(p) = 14*p**2 + 1641*p - 403. Let k(n) = 5*l(n) + 3*t(n). Factor k(r).
3*(r + 68)*(4*r - 1)
Let i(a) be the third derivative of -13*a**4/12 + a**3/3 + 170*a**2. Let c be i(0). Determine o so that 1/4*o - 1/4*o**4 - 1/4*o**3 + 0 + 1/4*o**c = 0.
-1, 0, 1
Factor -3*j**5 - 550*j**3 + 155*j**4 + 154*j**4 + 5*j**5 - 37*j**4 + 88*j**2 + 188*j**2.
2*j**2*(j - 1)**2*(j + 138)
Let n(u) = -180*u**2 + 25*u + 320. Let d(q) = 29*q**2 - 4*q - 53. Let l(y) = -25*d(y) - 4*n(y). Factor l(f).
-5*(f - 3)*(f + 3)
Let u(j) be the first derivative of -j**6/15 - 16*j**5/5 + 323*j**4/10 - 188*j**3/5 - 7830. Suppose u(h) = 0. What is h?
-47, 0, 1, 6
Let n(k) be the first derivative of k**6/2 - 21*k**5/5 - 15*k**4 + 96*k**3 - 6699. Suppose n(l) = 0. What is l?
-4, 0, 3, 8
What is h in 454276 + 1/2*h**3 - 673*h**2 + 225790*h = 0?
-2, 674
Let i(h) be the third derivative of -h**9/3024 + h**7/504 - 19*h**4/24 - 17*h**2. Let r(d) be the second derivative of i(d). Factor r(c).
-5*c**2*(c - 1)*(c + 1)
Let 3/8*l**3 - 6*l**2 + 6 - 3/8*l = 0. What is l?
-1, 1, 16
Let c(y) be the second derivative of -y**6/45 + 11*y**5/15 - 16*y**4/3 - 32*y**3 + 1942*y. Suppose c(x) = 0. Calculate x.
-2, 0, 12
Let q be 24/(-13) - (-1627349)/100581. Factor -6 - 22/3*h**2 - q*h + h**3.
(h - 9)*(h + 1)*(3*h + 2)/3
Factor 601/4*v + 3 + 25/2*v**2.
(v + 12)*(50*v + 1)/4
Let o(u) be the first derivative of 0*u + 3/5*u**5 - 2/21*u**3 + 0*u**2 - 41/28*u**4 + 197. Solve o(p) = 0.
-1/21, 0, 2
Suppose -5*i + 420 = -3*i + 4*z, -3*z = i - 213. Determine h so that -29 + 19*h + 5*h**2 - 147*h + 68*h + i = 0.
5, 7
Factor -2/3*n**2 - 140/9*n - 46/9.
-2*(n + 23)*(3*n + 1)/9
Let d be (-35)/(3675/30) + -1 + 1209/42. Solve -d*j + 5/4*j**2 + 605/4 = 0 for j.
11
Suppose -19/10*v**3 + 0 - 36/5*v + 459/10*v**2 = 0. What is v?
0, 3/19, 24
Let k(f) = -f**2 + 6*f - 1. Let t(j) = j**3 + 63*j**2 + 804*j + 790. Let s(v) = -6*k(v) - t(v). Factor s(x).
-(x + 1)*(x + 28)**2
Let r(l) = 13*l**4 - 93*l**3 + 79*l**2 + 170*l + 5. Let g(o) = 32*o**4 - 232*o**3 + 196*o**2 + 424*o + 12. Let n(a) = 5*g(a) - 12*r(a). Factor n(p).
4*p*(p - 10)*(p - 2)*(p + 1)
Suppose 1 = -2*k + 5. Suppose 13*w + 21 = 60. Solve -2936 + 2936 - k*i**w + 2*i = 0.
-1, 0, 1
Let k(z) be the first derivative of z**6/3 + 18*z**5/5 + 7*z**4 + 1610. Suppose k(i) = 0. What is i?
-7, -2, 0
Let h be ((-205)/25 - -7)/((-2)/(-10)). Let s(d) = d + 2. Let o(w) = 5*w**2 + 36*w + 57. Let p(a) = h*s(a) + o(a). Let p(b) = 0. Calculate b.
-3
Let z be ((2 - -2) + -4)/(-2). Let i be 2*(-9*6/(-36) + z). Find p such that -2/5*p**4 - 2/5*p**5 + 0*p**2 + 0*p + 0*p**i + 0 = 0.
-1, 0
Let g(d) = -8173*d - 49036. Let b be g(-6). Find j, given that -1/6*j - 2 + 1/6*j**b = 0.
-3, 4
Let a(u) be the first derivative of -1/3*u**3 + 1/5*u**5 + 0*u + 0*u**2 + 7 + 1/4*u**4 - 1/6*u**6. Suppose a(z) = 0. What is z?
-1, 0, 1
Suppose b + 22255 = k, 44524 = -k + 3*k + 5*b. Suppose -7*x**3 + 15*x**3 + 5357 - k - 524*x**2 - x**3 - 3*x**3 + 17420*x = 0. What is x?
1, 65
Let m be (639/7668)/((-1)/(-15)). Let -m*d**2 - 15/4 - 25/4*d + 5/4*d**3 = 0. Calculate d.
-1, 3
Find v, given that 1/2*v**2 + 0 - 331*v = 0.
0, 662
Let u(i) = -3*i - 7. Let x be u(-7). Factor x*l**3 + l - 3*l + 10*l**3 - 22*l**3.
2*l*(l - 1)*(l + 1)
Suppose 12 = 2*p - 2*a, -2*a - 7 = -10*p + 9*p. Let j(q) be the second derivative of 1/9*q**2 - 8*q + 0 + 1/45*q**p - 1/54*q**4 - 2/27*q**3. Factor j(s).
2*(s - 1)*(s + 1)*(2*s - 1)/9
Suppose -4*h - 5*m = -28, -h + 5*h + m = 12. Let b(f) be the second derivative of -2*f + 2*f**3 - 1/4*f**4 + 0 + 0*f**h. Let b(d) = 0. What is d?
0, 4
Suppose 37 = -t + 39. Factor -2738*w + 4*w**4 - 12*w**3 + 2738*w + 8*w**t.
4*w**2*(w - 2)*(w - 1)
Factor -1/2*f**2 + 291/2*f + 0.
-f*(f - 291)/2
Suppose 0 = 11*a - 233 - 53. Let t = 29 - a. Solve t - 14 - 5 + 2*j**2 + j + 3*j = 0 for j.
-4, 2
Let h be 12/(-24) - 158/4. Let x be h/(-22) - (-22)/121. Factor -o**2 + 2*o**3 + 7*o**2 - x*o**2 + 0*o**2.
2*o**2*(o + 2)
Let c(o) = 2*o**5 - o**3 + 2*o + 1. Let z(k) = -36*k**5 - 116*k**4 + 40*k**3 + 100*k**2 + 48*k + 12. Let v(a) = 12*c(a) - z(a). Solve v(f) = 0.
-2, -3/5, -1/3, 0, 1
Let q(k) = 30*k**2 + 510*k - 3. Let n(o) = o**3 + 33*o**2 + 510*o - 4. Let c(a) = 3*n(a) - 4*q(a). Let c(g) = 0. What is g?
-10, 0, 17
Determine i, given that 176/9 - 86/9*i**3 + 86/9*i - 59/3*i**2 + 1/9*i**4 = 0.
-2, -1, 1, 88
Let z(s) be the first derivative of s**7/14 + s**6/2 + 27*s**5/20 + 7*s**4/4 + s**3 - 55*s - 120. Let q(n) be the first derivative of z(n). Factor q(j).
3*j*(j + 1)**3*(j + 2)
Let r = 98/541 - -2411/1623. Factor -q - r + 2/3*q**2.
(q + 1)*(2*q - 5)/3
Let f be 351/(-78)*2/(-9) + 3. Find r, given that 0*r - 14/5*r**5 + 14/5*r**3 + 6/5*r**f + 0 - 6/5*r**2 = 0.
-1, 0, 3/7, 1
Let z(u) = u**3 + u + 1. Let k(o) = -o**5 + 2*o**4 - 3*o**3 - 6*o - 6. Let x = 74 - 80. Let q(s) = x*z(s) - k(s). Solve q(m) = 0 for m.
-1, 0, 3
Suppose -1495 = -2*x - 1491. What is h in -24*h + h**2 - 14*h - 25*h + 71*h - 2*h**x - 7 = 0?
1, 7
Find b such that 161/2*b**3 + 23/2*b**4 - 9880*b + 11552 - 3527/2*b**2 - 1/2*b**5 = 0.
-8, 1, 19
Let k(f) be the first derivative of 0*f - 76/3*f**3 - 18*f**2 - 39 - 11*f**4 - 4/5*f**5. Determine c, given that k(c) = 0.
-9, -1, 0
Factor 4/17*n**2 - 6*n - 342/17.
2*(n + 3)*(2*n - 57)/17
Let g(m) be the third derivative of 0*m + 8