15*b**j + 2/75*b**5 + 0*b. What is s in p(s) = 0?
2/3, 1
Suppose -72 = -7*n - 9. Let d(x) be the third derivative of 0 - 1/66*x**5 - 1/660*x**6 + 0*x + n*x**2 - 2/33*x**4 - 4/33*x**3. Factor d(q).
-2*(q + 1)*(q + 2)**2/11
Let w(p) be the third derivative of p**6/60 + p**5/15 + p**4/12 + p**2 - 42*p. Factor w(j).
2*j*(j + 1)**2
Suppose 0 = 33*j - 17*j. Let q(i) be the first derivative of j*i - 5 + 10/27*i**3 - 7/18*i**4 + 2/9*i**2. Factor q(n).
-2*n*(n - 1)*(7*n + 2)/9
Suppose 99 = 2*d + 5*f + 366, 5*d - 2*f = -595. Let o = 124 + d. Solve 24*q + 49/4*q**4 - 42*q**o + 4 + 22*q**2 = 0 for q.
-2/7, 2
Let c(t) be the first derivative of t**7/840 + t**6/80 + 13*t**5/240 + t**4/8 + t**3/6 - 9*t**2/2 + 1. Let l(f) be the second derivative of c(f). Factor l(k).
(k + 1)**2*(k + 2)**2/4
Let a(t) be the first derivative of -4*t**3/3 + 32*t**2 + 68*t - 359. Suppose a(j) = 0. Calculate j.
-1, 17
Let w = -2782 - -2784. Let a(c) be the second derivative of 0*c**w + 0 - c - 3/10*c**5 + 0*c**3 + 1/4*c**4. Factor a(y).
-3*y**2*(2*y - 1)
Let k(s) be the third derivative of -s**7/630 + s**6/4320 - 49*s**4/24 - 45*s**2. Let u(v) be the second derivative of k(v). Determine j so that u(j) = 0.
0, 1/24
Factor -8 + 5 + 9*v + 1 + 2 - 3*v**2.
-3*v*(v - 3)
Let a(l) be the second derivative of -l**5/330 + 5*l**4/66 + l**3/3 + 23*l**2/2 - 9*l. Let z(m) be the first derivative of a(m). Let z(g) = 0. Calculate g.
-1, 11
Let f(c) = -52*c - 14. Let p be f(-7). Let u be (35/p)/(0 - (-2)/4). Factor 0 + 2/5*i - u*i**2.
-i*(i - 2)/5
Let o(s) = -3*s**5 + 17*s**4 - 13*s**3 - s**2 + 4*s. Let h(x) = 3*x**5 - 16*x**4 + 14*x**3 - 5*x + 1. Let a(f) = 4*h(f) + 3*o(f). Factor a(z).
(z - 2)*(z - 1)**3*(3*z + 2)
Let t be 4 - 51/(6/(-2)). Let 18*f + 13*f**3 - t*f - 2 - 12*f**3 = 0. What is f?
-1, 2
Factor 1144*g**4 - 60*g**2 - 17*g - 83*g - 1129*g**4 + 25*g**3.
5*g*(g - 2)*(g + 2)*(3*g + 5)
Let -205*l + 372 - 17*l - 86*l + 4*l**2 - 68*l = 0. Calculate l.
1, 93
Let b(t) = t**3 - 6*t**2 - 8*t + 7. Let y be b(7). Suppose y = -0*j + 3*j. Determine s, given that j*s**2 + 0 + 2/5*s**3 - 2/5*s = 0.
-1, 0, 1
Factor -24*j - 2*j + j**2 + j - j.
j*(j - 26)
Let z be (-197)/(-7) - 11/77. Factor -8*l - 4*l**3 - 4*l**5 - z*l**2 + 3*l**4 - 22*l**3 + 13*l**5.
l*(l - 2)*(l + 1)*(3*l + 2)**2
Find u such that -595*u - u**3 + 74*u**2 + 648 - 505*u + 212*u - u**3 + 168*u = 0.
1, 18
Let r = 12 + -1. Let w = r - 9. Suppose 11*x**w - 6*x + 0*x**3 - 2*x**2 + 2*x**3 - 5*x**3 = 0. What is x?
0, 1, 2
Let o(l) = -l**2 - 82*l - 1192. Let g be o(-19). Suppose 14/3*r**2 - 7*r**3 + 8/3*r**4 + 20/3*r - 1/3*r**g - 8 = 0. Calculate r.
-1, 2, 3
Solve 192*i**2 + 16*i**5 - 7*i - 68*i**5 - 196*i**3 - 21*i - 12*i**5 - 480*i**4 = 0 for i.
-7, -1, 0, 1/4
Let t(g) be the second derivative of -g**6/120 - 37*g**5/40 - 30*g**4 - 108*g**3 - 9*g - 14. Determine o, given that t(o) = 0.
-36, -2, 0
Suppose 4*m**3 - 187 + 376 + 4*m**2 - 193 - 4*m = 0. Calculate m.
-1, 1
Let i(p) be the first derivative of 2*p**4 - 6*p**2 - p**4 + 2 + 10*p**2 + 4*p**3. What is u in i(u) = 0?
-2, -1, 0
Let j = 11198/3959 - 105/37. Let s = j + 649/749. Factor 0*c + 2/7*c**2 + 2/7*c**5 + s*c**4 + 6/7*c**3 + 0.
2*c**2*(c + 1)**3/7
Let x(s) be the third derivative of -s**5/20 + 3*s**4/4 + 82*s**2. Let x(o) = 0. Calculate o.
0, 6
Let m be 1020/918*(-3)/(-15). Determine p, given that 0 - 8/9*p**4 + m*p**3 + 8/9*p**2 - 2/9*p = 0.
-1, 0, 1/4, 1
Let l(n) be the first derivative of n**6/2 - 3*n**5/5 - 15*n**4/4 - 3*n**3 - 116. Solve l(j) = 0 for j.
-1, 0, 3
Let u(h) = 3*h**2 + 322*h + 107. Let k(q) = -54*q - 18. Let v(m) = -26*k(m) - 4*u(m). Find i such that v(i) = 0.
-1/3, 10
Let c(x) be the third derivative of x**6/160 - x**5/32 - x**4/16 + 7*x**3/3 - 11*x**2. Let z(n) be the first derivative of c(n). Determine s so that z(s) = 0.
-1/3, 2
Let a(o) be the second derivative of -3/20*o**5 + 20*o + 0*o**3 + 0*o**2 - 9/70*o**7 + 1/10*o**4 + 0 - 8/25*o**6. Let a(x) = 0. Calculate x.
-1, 0, 2/9
Let y(p) be the first derivative of 2/7*p**2 - 3 - 3*p - 1/42*p**4 + 1/21*p**3. Let b(l) be the first derivative of y(l). Factor b(z).
-2*(z - 2)*(z + 1)/7
Let z(v) = 105*v - 626. Let u be z(6). Let 342/7*k + 336*k**u + 456*k**3 + 1587/7*k**2 + 27/7 = 0. Calculate k.
-3/7, -1/4
Let p(h) = -9*h**2 + 18*h - 33. Let u(m) = m**2 + m + 5. Let j(f) = p(f) + 12*u(f). Find d, given that j(d) = 0.
-9, -1
Let d = -14 + 9. Let x(o) = -1083*o**2 + 223*o - 17. Let h(a) = a + 1. Let b(g) = d*h(g) - x(g). Factor b(p).
3*(19*p - 2)**2
Suppose 3*g + 0*g - 29 = -2*f, -4 = -2*f + 2*g. Factor 11*c**2 + 2*c**3 - c**2 - 5*c - f*c**3 + 0*c**2.
-5*c*(c - 1)**2
Let h(u) be the third derivative of -u**5/40 - 85*u**4/8 - 7225*u**3/4 - 733*u**2. Determine b so that h(b) = 0.
-85
Let k(v) be the second derivative of -v**7/1470 + v**5/70 - v**4/21 + v**3/14 - 8*v**2 + 13*v. Let m(w) be the first derivative of k(w). Factor m(g).
-(g - 1)**3*(g + 3)/7
Let f be ((-32)/(-112))/((36/(-21))/(-2)). Let l(x) be the third derivative of 0 + 0*x - f*x**3 - 1/30*x**5 + 1/6*x**4 - 3*x**2. Let l(g) = 0. Calculate g.
1
Let s = -8/701 + 5648/3505. Factor s + 2/5*n**3 - 6/5*n**2 + 0*n.
2*(n - 2)**2*(n + 1)/5
Let o(a) be the second derivative of 0 + 1/2*a**2 + 1/12*a**4 + 1/3*a**3 - 33*a. Suppose o(w) = 0. What is w?
-1
Let k(p) be the second derivative of -p**6/90 + 2*p**5/15 - p**4/2 + 9*p**2/2 - 63*p. Solve k(c) = 0 for c.
-1, 3
Let r(c) = -2*c + 4*c + 12*c - 2*c**2 - 3 - 6*c. Let d(p) = -10*p**2 + 38*p - 14. Let n(f) = -3*d(f) + 14*r(f). Let n(s) = 0. Calculate s.
0, 1
What is r in -3*r**3 + 124*r**2 - 123 + 13*r**2 - 249*r - 266*r**2 = 0?
-41, -1
Let w(j) be the third derivative of j**7/70 + j**6/40 - j**5/5 - j**4/2 - 3*j**2. Let w(g) = 0. What is g?
-2, -1, 0, 2
Let u(i) = 8*i**3 - 37*i**2 - 29*i + 149. Let g(n) = 12*n**3 - 56*n**2 - 44*n + 224. Let t(z) = 5*g(z) - 8*u(z). Solve t(j) = 0 for j.
-2, 3
Let p(j) be the third derivative of 1/4*j**5 + 0 + 0*j**3 - 3/8*j**4 + 0*j - 1/70*j**7 - 1/40*j**6 + 29*j**2. Suppose p(i) = 0. What is i?
-3, 0, 1
Let w(o) be the second derivative of o**7/42 + o**6/30 - o**3/6 - 4*o. Let g(t) = -8*t**5 - 6*t**4 + 6*t. Let i(j) = g(j) + 6*w(j). Solve i(d) = 0.
0
Let k(j) be the first derivative of -1/24*j**5 - 1/18*j**3 - 3 + 0*j**2 - 7/72*j**4 + 6*j. Let i(x) be the first derivative of k(x). Factor i(b).
-b*(b + 1)*(5*b + 2)/6
Let v(b) = 2*b**4 + 26*b**2 + 13*b + 5. Let x(u) = -u**4 - u**2 + u - 1. Let a(c) = -v(c) - 5*x(c). Let a(f) = 0. What is f?
-2, -1, 0, 3
Find m, given that -1/9*m**2 + 32/9 + 14/9*m = 0.
-2, 16
Let i(s) be the second derivative of 5*s**8/336 - s**7/42 + 9*s**2/2 + 9*s. Let o(w) be the first derivative of i(w). Factor o(a).
5*a**4*(a - 1)
Suppose 0 = -5*n + 3*i + 148 - 31, 2*n - 43 = 5*i. Let h = 28 - n. Let h*v**3 - v**3 - 2*v**3 = 0. What is v?
0
Determine c so that -1328/5*c - 3084/5*c**3 + 640*c**2 + 20*c**5 + 192/5 + 184*c**4 = 0.
-12, 2/5, 1
Let o(y) = 25*y - 50. Let n be o(2). Factor n - 8/15*m + 2/15*m**2.
2*m*(m - 4)/15
Let p be 6/(-4)*-6*1. Let g(n) = -20*n**3 + 20*n**2 + 9*n + 9. Let h(f) = -5*f**3 + 5*f**2 + 2*f + 2. Let s(z) = p*h(z) - 2*g(z). Factor s(t).
-5*t**2*(t - 1)
Suppose -3165 + 1043 = -46*b + 3168. Factor -75/2 - b*i - 15/2*i**2.
-5*(i + 15)*(3*i + 1)/2
Let s(x) be the first derivative of 0*x + 5 - 2/9*x**2 - 2/27*x**3. Factor s(j).
-2*j*(j + 2)/9
Let r(z) be the first derivative of z**5/5 + 18*z**4 - z**3/3 - 36*z**2 - 702. Factor r(m).
m*(m - 1)*(m + 1)*(m + 72)
Let -4*g**2 + 5*g**5 - 5*g**3 + 9*g**2 - 24*g**4 + 19*g**4 = 0. What is g?
-1, 0, 1
Let i(u) = -5*u**2 - 43*u - 38. Let h(a) = 35*a**2 + 300*a + 265. Let f(z) = 8*z + 5. Let t be f(-1). Let j(b) = t*h(b) - 20*i(b). Let j(r) = 0. What is r?
-7, -1
Suppose -2*h - 3*f + 8 = -f, h + 2*f - 3 = 0. Factor -s**5 + 5*s**4 + h*s**5 - 10*s**3 + s**5.
5*s**3*(s - 1)*(s + 2)
Let r(n) be the third derivative of n**5/60 + 11*n**4/12 + 7*n**3/2 + 23*n**2 + 2*n. Determine k, given that r(k) = 0.
-21, -1
Let t(p) be the second derivative of 4*p + 0 - 4/165*p**6 - 1/22*p**5 + 7/66*p**4 + 2/33*p**3 + 0*p**2. Find f, given that t(f) = 0.
-2, -1/4, 0, 1
Let p be (-16)/(-16) + 9/6*2. Let f(n) be the third derivative of 1/12*n**p + 1/60*n**6 + 0*n - 1/15*n**5 + 0*n**3 + 0 + 7*n**2. Factor f(b).
2*b*(b - 1)**2
Le