rivative of 5/8*k**4 + 0*k - 14*k**2 - 1/20*k**5 + 0 - 3*k**3. What is u in q(u) = 0?
2, 3
Let -395*b**2 + 1170*b**2 - 389*b**2 + 5*b**3 - 391*b**2 = 0. Calculate b.
0, 1
Let p(h) = -h**4 + 7*h**3 - 18*h**2 + 18*h - 8. Let l(n) = -n**4 + 7*n**3 - 18*n**2 + 17*n - 8. Let g(t) = -2*l(t) + 3*p(t). What is y in g(y) = 0?
1, 2
Let y = 33 - 41. Let b(j) = j + 8. Let t be b(y). Factor t + 0*s - 2/7*s**3 - 2/7*s**2.
-2*s**2*(s + 1)/7
Let r(p) = -113 - p**2 + 113 + 5*p**2 - 3*p. Let v(y) = -2*y + 2*y - 3*y**2 + 2*y. Let u(z) = -2*r(z) - 3*v(z). Factor u(s).
s**2
Suppose -3*v + 25 = -2*p - 28, -2*p - 13 = 5*v. Let t = p - -22. Factor -18/5*y**2 - 8/5 + 4/5*y**t + 24/5*y.
2*(y - 2)**2*(2*y - 1)/5
Suppose -5*c - 213 = -b - 203, 0 = b + c + 2. Factor b*l + 0 + 4/15*l**3 + 2/15*l**2 - 2/5*l**4.
-2*l**2*(l - 1)*(3*l + 1)/15
Factor -981*o**2 + 512 - 2043*o**2 + 2*o**5 + 5346*o - 1576 - 1852 + 652*o**3 - 76*o**4 + 16*o**4.
2*(o - 9)**3*(o - 2)*(o - 1)
Let r be (((-15)/(-5))/(2 - 3))/(-1). Factor -p - 2*p + r*p + 3*p**2.
3*p**2
Let a be 174/10 - 4/10. Suppose t = -2*m + 26, -5*t + 0*m = -4*m - 200. Factor 3*y**2 - 4*y**2 - a*y**2 - 2*y**3 + t*y - 24 + 5*y**3.
3*(y - 2)**3
Solve 2*i**2 - 197*i + 2*i**3 + 201*i - 4*i**3 = 0.
-1, 0, 2
Factor -25 - 5/6*j**2 - 155/6*j.
-5*(j + 1)*(j + 30)/6
Suppose 572*f - 573*f = 0. Let o(g) be the first derivative of 1/30*g**5 + 1/24*g**4 + 0*g - 1/9*g**3 + 6 + f*g**2. Suppose o(b) = 0. Calculate b.
-2, 0, 1
Factor -22/13*s - 1452/13 + 32/13*s**2 + 2/13*s**3.
2*(s - 6)*(s + 11)**2/13
Let a(g) = 2*g**3 + g + 1. Let y be a(0). Factor y - 3 + 2 - 2*j**2.
-2*j**2
Let m(i) = 10*i - 1. Let a be m(1). Factor 11*v**5 - 18*v**5 + a*v**5.
2*v**5
Let j(f) be the first derivative of -f**4/18 + 4*f**3/27 + 5*f**2/3 - 8*f - 807. Factor j(s).
-2*(s - 3)**2*(s + 4)/9
Let q(t) = -32*t**3 - 598*t**2 - 5985*t + 6632. Let c(b) = 11*b**3 + 199*b**2 + 1995*b - 2211. Let u(x) = -17*c(x) - 6*q(x). Determine w, given that u(w) = 0.
-21, 1
Let n(d) be the third derivative of -d**8/336 - 3*d**7/280 - d**6/80 - d**5/240 + 42*d**2. Let n(i) = 0. What is i?
-1, -1/4, 0
Let f(l) be the first derivative of 16/35*l**5 + 8 + 2/7*l**6 + 0*l**3 + 0*l**2 + 1/7*l**4 + 0*l. Factor f(c).
4*c**3*(c + 1)*(3*c + 1)/7
Let i(s) be the third derivative of 0*s - 15*s**2 + 0*s**4 + 0*s**3 + 1/480*s**6 + 1/240*s**5 + 0. What is w in i(w) = 0?
-1, 0
Let h = 3/94 + 79/470. Solve 3/5*x**2 + h*x**3 + 1/5*x**5 - 3/5*x**4 - 2/5*x + 0 = 0 for x.
-1, 0, 1, 2
Suppose 5*m = -s + 4, 0*s - s - 2*m + 4 = 0. Factor 0*j**2 + 2*j**2 - 2*j**2 + s*j**2 - 12*j**3 + 12*j**4 - 4*j**5.
-4*j**2*(j - 1)**3
Let w(g) be the third derivative of -g**10/37800 - g**9/7560 - g**8/5040 - 7*g**5/60 - 13*g**2. Let y(s) be the third derivative of w(s). Solve y(u) = 0.
-1, 0
Let d(k) = -98*k**5 + 163*k**4 - 44*k**3 - 24*k**2 + 3*k. Let w(p) = 49*p**5 - 81*p**4 + 22*p**3 + 12*p**2 - 2*p. Let r(m) = -3*d(m) - 5*w(m). Factor r(b).
b*(b - 1)**2*(7*b + 1)**2
Let r(l) be the second derivative of l**5/300 + l**4/15 + 8*l**3/15 - 9*l**2 + l. Let i(a) be the first derivative of r(a). Factor i(z).
(z + 4)**2/5
Let x(t) = -4*t**3 - t**2 + 9*t + 90. Let y(i) = -i**3 + 2*i**2 - i + 2. Let r(l) = x(l) - 5*y(l). Factor r(n).
(n - 8)*(n - 5)*(n + 2)
Let a be ((-12)/12)/(1/(-23)) - 3. Suppose -a*l**3 - 155*l**2 - 49*l - 231*l + 51 + 29 = 0. Calculate l.
-4, 1/4
Let a(k) be the first derivative of 11 + 1/2*k**2 - 4/3*k + 1/9*k**3. Solve a(y) = 0 for y.
-4, 1
Let i(b) be the second derivative of b**7/84 + b**6/120 - b**5/24 - b**4/24 + b**2/2 - 7*b. Let y(c) be the first derivative of i(c). Factor y(z).
z*(z - 1)*(z + 1)*(5*z + 2)/2
Suppose 75/2 - 6267/8*d**3 + 129*d**4 - 345*d + 7743/8*d**2 - 6*d**5 = 0. Calculate d.
1/4, 1, 10
Factor 3015*a + 59*a**2 + 11872 + 3*a**3 + 121*a**2 + 12128 + 585*a.
3*(a + 20)**3
Let b(t) be the third derivative of t**6/540 + t**5/30 + 122*t**2. Determine p so that b(p) = 0.
-9, 0
Let b(u) be the first derivative of 4 - 27/4*u**2 + 9/2*u**3 - 9/8*u**4 + 1/10*u**5 + 0*u. Let b(k) = 0. What is k?
0, 3
Suppose -2/3*y**3 + 2/3*y + 12*y**2 - 12 = 0. What is y?
-1, 1, 18
Suppose 11*x - 15*x - 224 = 0. Let y = -56 - x. Determine l, given that -6/5*l**3 - 6/5*l**4 - 2/5*l**2 + 0*l - 2/5*l**5 + y = 0.
-1, 0
Determine q so that -3/2*q**5 - 33/4*q + 81/4*q**4 + 135/4*q**2 - 177/4*q**3 + 0 = 0.
0, 1/2, 1, 11
Let t(x) = 3*x**5 + 13*x**4 - 8*x**3 - 30*x**2 + x + 15. Let j(c) = c**4 + c**3 + c. Let w(q) = 2*j(q) + t(q). Find p, given that w(p) = 0.
-5, -1, 1
Let n(h) be the second derivative of 4*h - 9/8*h**4 - 1/120*h**6 + 3/20*h**5 + 9/2*h**3 + 0 + 4*h**2. Let u(m) be the first derivative of n(m). Factor u(y).
-(y - 3)**3
Let l = 8 + -1. Let z(m) = m - 7. Let h be z(l). Let 1/3*k**2 + h + k = 0. Calculate k.
-3, 0
Solve 0*u + 2/13*u**5 + 22/13*u**3 + 0 + 10/13*u**2 + 14/13*u**4 = 0 for u.
-5, -1, 0
Let r be (-6*(-5)/210)/(30/21). Let l(f) be the third derivative of -3/10*f**3 + 0 - 1/100*f**5 - 3*f**2 + r*f**4 + 0*f. Solve l(v) = 0.
1, 3
Let h(q) be the first derivative of q**8/5040 - q**7/504 + q**6/120 - 7*q**5/360 + q**4/36 - 4*q**3 - 18. Let d(r) be the third derivative of h(r). Factor d(m).
(m - 2)*(m - 1)**3/3
Let b(u) = -9 - 5*u**2 - 7*u**3 + 3 - u**2 + 6*u**3 - 12*u. Let q(i) = 2*i**3 + 12*i**2 + 24*i + 11. Let n(c) = -5*b(c) - 2*q(c). Suppose n(v) = 0. Calculate v.
-2
Let i(j) = 2*j**3 + 4*j**2 - 7*j - 6. Let f be i(-1). Factor 9/2*n + 2 + 3*n**2 + 1/2*n**f.
(n + 1)**2*(n + 4)/2
Factor -3/7*a**2 + 270/7*a - 6075/7.
-3*(a - 45)**2/7
Let o be (-33 - (11 + -55)) + (0 - 9). Find w, given that -2/3*w**o + 16/3*w + 0 = 0.
0, 8
Let l(f) = -f**5 - 16*f**4 - 25*f**3 - 14*f**2 + 4*f - 4. Let j(y) = 2*y**4 + 2*y**3 + y**2 - y + 1. Let c(w) = -4*j(w) - l(w). Factor c(u).
u**2*(u + 1)*(u + 2)*(u + 5)
Let n(x) be the third derivative of x**6/24 + 7*x**5/3 + 1105*x**4/24 + 845*x**3/3 + x**2 + 161*x. Factor n(l).
5*(l + 2)*(l + 13)**2
Find i, given that -144*i - 176*i**2 + 7*i**3 - 3*i**3 + 160 + 371*i**2 - 171*i**2 = 0.
-10, 2
Let p(f) be the second derivative of -f**8/20160 + f**6/2160 - 5*f**4/6 + 6*f. Let y(n) be the third derivative of p(n). Factor y(m).
-m*(m - 1)*(m + 1)/3
Suppose -5*b + 376 - 381 = 0. Let d be b/(-5) + 35/(-175). Suppose 2/3*a**2 + 2/9*a**3 - 8/9 + d*a = 0. Calculate a.
-2, 1
Let s(z) be the first derivative of -3/10*z**5 - 1/3*z**4 + 3 + 0*z**2 - 1/9*z**3 + 7*z. Let r(y) be the first derivative of s(y). Factor r(m).
-2*m*(3*m + 1)**2/3
Suppose -3*q + 59 = -5*r + 34, -5 = -2*q + r. Factor 3/7*f**2 + 1/7*f**3 + 0*f + q.
f**2*(f + 3)/7
Suppose -2*z + 5*m = -9, 2*z + 3*m = -2*z + 5. Determine j so that j + z*j + 6*j**4 + 30*j**3 - 15*j**3 + 12*j**2 = 0.
-1, -1/2, 0
Let f(q) be the second derivative of -q**4/16 + 5*q**3/8 - 3*q**2/2 - 79*q. Find w, given that f(w) = 0.
1, 4
Factor 116/15 - 178/15*g + 2/5*g**2.
2*(g - 29)*(3*g - 2)/15
Let p(h) = -5*h**2 + 106*h + 95. Let i(b) = -2*b**2 + 35*b + 31. Let v(z) = 8*i(z) - 3*p(z). Determine a so that v(a) = 0.
-37, -1
Let w = -952 + 952. Let h(t) be the first derivative of 4 + 3/8*t**2 + w*t + 3/4*t**3 + 3/20*t**5 + 9/16*t**4. Factor h(u).
3*u*(u + 1)**3/4
Let x(k) = -k**3 + k**2 + 1. Let v(c) = -40*c**2 - 60*c - 32. Let w(l) = v(l) + 4*x(l). Find r such that w(r) = 0.
-7, -1
Let q(t) = -t**2 - 22*t - 121. Let f(s) = 3*s**2 + 66*s + 363. Let z(j) = 2*f(j) + 7*q(j). Solve z(a) = 0 for a.
-11
Let a(y) be the second derivative of 4/3*y**3 - 1/12*y**4 + 7*y - 8*y**2 + 0. Let a(x) = 0. What is x?
4
Solve -30*y - 12 + 12*y**4 - 4*y**4 + 12 + 4*y**5 - 32*y**3 - 72*y**2 - 6*y = 0.
-3, -1, 0, 3
Suppose 2734/5*c**2 + 237/5*c**3 + c**4 - 1152/5 - 1824/5*c = 0. What is c?
-24, -2/5, 1
Let i(h) be the second derivative of h**5/10 + 37*h**4/6 - 118*h**3/3 + 80*h**2 + 28*h. Factor i(a).
2*(a - 2)*(a - 1)*(a + 40)
Let 4/5*j**2 + 14/5*j + 8/5 - 2/5*j**3 = 0. Calculate j.
-1, 4
Suppose j = -4*k + 33 + 25, 0 = -5*j - 3*k + 222. Suppose -2*s**5 + 16*s**4 - 14*s**3 + j*s - 26*s**3 - 36 + 33*s**2 - 13*s**2 = 0. What is s?
-1, 1, 2, 3
Suppose 0 = -3*m + 3*t + 138, -3*t + 166 = 5*m - 80. Suppose 3*c - m = 2*q, -5*c + 71 = -q - 2. Factor c*w - w**2 + 3 - 5 - 11*w.
-(w - 2)*(w - 1)
Let p(k) = -k**2 - 4*k - 1. Let c be p(-3). Suppose 0 = 5*j + i + 2, 5*j - j + i = -c. Factor 0*h