*s**2 = 0.
-2, 1/4, 27
Let i(l) be the second derivative of l**5/120 - l**4/2 - 13*l**3/12 + 37*l**2/6 + 60*l - 8. Factor i(j).
(j - 37)*(j - 1)*(j + 2)/6
Suppose -56*l - 140 + 503 = -645. Let z(y) be the first derivative of 2/15*y**5 - 8/9*y**3 - 1/3*y**4 + 8/3*y**2 - l + 0*y. Factor z(i).
2*i*(i - 2)**2*(i + 2)/3
Suppose r = -y - 12, 4*r - 17927 = -y - 17930. Find u such that 30/7*u**2 + 16/7*u**r + 2/7*u**4 - 8/7*u - 40/7 = 0.
-5, -2, 1
Let i(l) = -2*l**2 + l. Let f(a) = 44 - 6*a**2 + 4 - 38*a - 9*a**3 + 13*a**3 - 14*a**2. Let v(p) = -f(p) + 6*i(p). Factor v(r).
-4*(r - 4)*(r - 1)*(r + 3)
Factor -38/3*n - 13 + 1/3*n**2.
(n - 39)*(n + 1)/3
Let m(p) = 6*p**3 - 1383*p**2 - 1407*p - 18. Let s(w) = -3*w**3 + 691*w**2 + 704*w + 10. Let j(g) = -5*m(g) - 9*s(g). Let j(q) = 0. Calculate q.
-1, 0, 233
Let d(b) = 2*b - 1. Let t be d(2). Find g, given that 13*g**2 - 3*g**2 + 9*g**t - 2*g**2 - 8 + g**4 - 9*g - g**2 = 0.
-8, -1, 1
Let i(t) be the first derivative of 0*t - 1/2*t**2 - 1/6*t**3 - 1/12*t**6 + 3/8*t**4 + 1/10*t**5 - 12. Determine l so that i(l) = 0.
-1, 0, 1, 2
Let z(q) be the first derivative of -3*q**5/20 + 59*q**4/16 - 35*q**3/12 - 59*q**2/8 + 19*q/2 + 4779. Let z(f) = 0. What is f?
-1, 2/3, 1, 19
Let p(n) be the second derivative of n**5/160 + 5*n**4/96 - n**3 - 63*n**2/4 - 695*n. Factor p(m).
(m - 7)*(m + 6)**2/8
Let y(f) be the third derivative of f**8/504 + 8*f**7/63 - 3020*f**2. Factor y(z).
2*z**4*(z + 40)/3
Let z be (-140)/245*((-14)/56)/(3/42). Factor -10/3*n + 8/3*n**z + 4/3 - 2/3*n**3.
-2*(n - 2)*(n - 1)**2/3
Let k(i) be the third derivative of 0 + 4/21*i**4 + 2/735*i**7 - 2*i**2 - 4/105*i**6 + 2/35*i**5 - 2/3*i**3 + 13*i. Factor k(p).
4*(p - 7)*(p - 1)**2*(p + 1)/7
Let 18/13*h**5 - 4*h**3 + 60/13*h**4 + 34/13*h + 44/13 - 8*h**2 = 0. What is h?
-11/3, -1, -2/3, 1
Let q(x) be the second derivative of 3/2*x**3 - 7/15*x**6 + 0*x**2 - 2 + 5/2*x**4 + 1/14*x**7 - 3*x + 1/5*x**5. Factor q(l).
l*(l - 3)**2*(l + 1)*(3*l + 1)
Let n(f) = f**2 + 17*f + 3. Let j(u) = 7*u. Let p(c) = 3*j(c) - n(c). Factor p(s).
-(s - 3)*(s - 1)
Suppose 9*a = 7*a + 7 - 7. Let v(l) be the third derivative of -1/30*l**5 + 18*l**2 + a*l - 1/60*l**6 + 0 + 1/12*l**4 + 1/3*l**3. Factor v(m).
-2*(m - 1)*(m + 1)**2
Determine o, given that -2/3*o**2 - 1412/3 + 1414/3*o = 0.
1, 706
Let c be (-352)/(-693) - (14 + (-1248)/91). Factor c*v**2 + 2/9*v - 4/9.
2*(v - 1)*(v + 2)/9
Let i(v) = 134*v**2 - 632*v + 3094. Let x(a) = -33*a**2 + a - 1. Let k(m) = i(m) + 4*x(m). Find r, given that k(r) = 0.
5, 309
Let p(l) = 12*l**2 + 9*l - 2. Let y(k) = 5*k**2 + 4*k - 1. Let v(t) = 2*p(t) - 5*y(t). Let z(s) = -5*s**2 + 19*s + 36. Let x(d) = 6*v(d) - z(d). Factor x(b).
-(b + 1)*(b + 30)
Suppose 3*r = 5*l + 2, -r - 4*r + 18 = -l. Let m be (3 + -2)*r*24/32. Solve -4/3*v + 4/3 + 4/3*v**m - v**2 - 1/3*v**4 = 0.
-1, 1, 2
Let c(h) = -h**2 + 6*h - 4. Let l(i) be the third derivative of -i**5/60 + i**4/4 - i**3/2 - 38*i**2. Let v(y) = -3*c(y) + 4*l(y). Solve v(d) = 0 for d.
0, 6
Let g = -389208 + 389210. Factor 43/4*w**g - 65/2*w - w**3 + 75/4.
-(w - 5)**2*(4*w - 3)/4
Let t(z) be the third derivative of -z**6/420 + 17*z**5/105 - 313*z**4/84 + 220*z**3/7 - 15*z**2 - 5*z - 19. Determine u so that t(u) = 0.
3, 11, 20
Let w(u) be the third derivative of u**6/24 + 2*u**5/3 + 4*u**4 + 40*u**3/3 + 33*u**2. Let b(s) = -2*s. Let o(p) = 2*b(p) - w(p). Solve o(z) = 0.
-4, -2
Suppose -3*p + 0*x - 34 = -x, -4*p - 52 = 2*x. Let l be 3 - (p/4 + 2). Factor -14*b**4 - 9*b**5 - 4*b**3 + 0*b**4 - 5*b**5 - l*b**4.
-2*b**3*(b + 1)*(7*b + 2)
Let l = 4174 - 4169. Let j(a) be the third derivative of 1/100*a**l + 0*a + 1/20*a**4 + 0*a**3 + 17*a**2 + 0. Let j(h) = 0. Calculate h.
-2, 0
Let y(t) be the third derivative of -t**6/80 - t**5/15 + t**4/16 - 5*t**2 - 14*t + 4. Factor y(r).
-r*(r + 3)*(3*r - 1)/2
Let u(r) = -4*r**2 + 24*r + 352. Let m(p) = -4*p**2 + 35*p + 350. Let t(v) = 12*m(v) - 11*u(v). Find g, given that t(g) = 0.
-2, 41
Suppose -256/9 + 2/9*u**3 - 6*u**2 - 104/3*u = 0. Calculate u.
-4, -1, 32
Let c(z) = -417*z - 597*z + 16360 + 31025 + 25*z**2 - 2536*z. Let x(r) = -2*r**2 + 273*r - 3645. Let d(u) = -3*c(u) - 40*x(u). Suppose d(k) = 0. What is k?
27
Let c(o) be the third derivative of -o**7/210 + 71*o**6/120 - 259*o**5/12 + 1225*o**4/24 - 497*o**2. Factor c(s).
-s*(s - 35)**2*(s - 1)
Let m be 15*((-28)/6 - -5). Let r be (5 - 268/56)*22. Let -3*g**4 - 12/7 + 0*g + r*g**2 - 9/7*g**3 + 9/7*g**m = 0. Calculate g.
-1, -2/3, 1, 2
Let r(i) = i - 21. Let u be r(15). Let n be u/(-27) + 80/45. Factor -9*a**n + a**2 + 5*a**2 - 32*a - 4*a - 108.
-3*(a + 6)**2
Let b(c) be the third derivative of c**5/12 + 125*c**4/24 + 340*c**3/3 - 2*c**2 + 1055*c. What is j in b(j) = 0?
-17, -8
Let m(s) = s**3 - s**2 + 4*s + 7. Let f be m(3). Determine k, given that 15 + 10*k + 17 - 5*k**2 - f = 0.
1
Let y(c) = c**3 + c**2 - 1. Let x be -4 - -1 - (140/(-4))/5. Let p(b) = 8*b**3 + 13*b**2 - 3*b - 9. Let t(f) = x*p(f) - 36*y(f). Solve t(m) = 0 for m.
0, 1, 3
Suppose -4*f + 8*f + 2*y - 90 = 0, f - 25 = -3*y. Suppose -19*a = f - 79. Factor 0 + 0*c - 3/7*c**a + 3/7*c**2.
-3*c**2*(c - 1)/7
Let u(j) = 306*j**2 - 1650*j + 1854. Let c(a) = 19*a**2 - 103*a + 116. Let y(t) = -33*c(t) + 2*u(t). Factor y(x).
-3*(x - 5)*(5*x - 8)
Let y(n) be the third derivative of n**8/13440 - n**7/672 - n**5/30 + 7*n**3/3 + 153*n**2. Let h(w) be the third derivative of y(w). Let h(q) = 0. Calculate q.
0, 5
Suppose 3105*z = -630*z. Find j such that -2/7*j**3 + 44/7*j**2 + z - 242/7*j = 0.
0, 11
Let p = -1616350/11 + 146941. Determine t so that -p*t**2 + 58/11*t - 841/11 = 0.
29
Let y be 76/13 - (-4)/26. Let f(k) = k + 6. Let t be f(y). Suppose -28 - t*z**2 + 80*z - 35*z**4 + 95*z**3 + 8 + 5*z**5 - 113*z**2 = 0. What is z?
1, 2
Let b(q) be the second derivative of -q**6/40 + 3*q**5/4 + 33*q**4/8 + 17*q**3/2 + 59*q**2/2 - 125*q. Let n(z) be the first derivative of b(z). Factor n(m).
-3*(m - 17)*(m + 1)**2
Let f(o) be the second derivative of o**5/10 - 43*o**4/6 + 86*o**3 - 216*o**2 + 138*o - 1. Let f(k) = 0. What is k?
1, 6, 36
Let v(c) = -5*c**2 - 13*c + 6. Let n(k) = 12*k**2 + 21*k - 9. Let l(t) = -t**2 + 2*t - 1. Let s(o) = -2*l(o) - n(o). Let q(i) = 4*s(i) - 7*v(i). Factor q(h).
-(h + 2)*(5*h - 1)
Let u(t) be the first derivative of -t**3 + 35*t**2/2 - 26*t - 261. Let p be u(10). Solve -13/2*y**2 - 47/2*y**3 + 1/2 - p*y**4 + 3/2*y - 8*y**5 = 0.
-1, -1/4, 1/4
Let u(j) be the first derivative of -j**6/5 + 49*j**5/25 - 29*j**4/5 + 38*j**3/5 - 23*j**2/5 + j + 135. Solve u(t) = 0 for t.
1/6, 1, 5
Let j be -1*(16/(-12))/2. Let o = 181851 + -545551/3. Determine r, given that 0 - 4/3*r**2 + o*r**5 + 0*r**3 + 4/3*r**4 - j*r = 0.
-1, 0, 1
Let u = 21 - -2265. Let s = u + -2282. Let 19/9*f**3 + 25/9*f**2 + 16/9*f + 7/9*f**s + 4/9 + 1/9*f**5 = 0. What is f?
-2, -1
Let h(y) be the second derivative of y**4/8 - 5*y**3/2 - 117*y**2/4 - 95*y. What is a in h(a) = 0?
-3, 13
Let v(x) = 2*x - 1. Let k(d) = 11*d - 37. Let f(m) = 2*k(m) - 10*v(m). Let q be f(33). Factor -1/3 - j**q + j + 1/3*j**3.
(j - 1)**3/3
Let c(s) be the first derivative of 4*s**5/5 + s**4/4 - 19*s**3/3 - 2*s**2 + 12*s + 1994. Suppose c(r) = 0. What is r?
-2, -1, 3/4, 2
Let d = 591/29 - 15. Let a = d + -439/87. Solve -i**2 - a*i**3 + 0 + 1/3*i**5 + 0*i + i**4 = 0.
-3, -1, 0, 1
Let g(p) be the second derivative of p**7/210 - 4*p**6/75 - p**5/20 + 2*p**4/3 + 2*p**3/15 - 16*p**2/5 - 2627*p. Let g(w) = 0. What is w?
-2, -1, 1, 2, 8
Let g(n) be the first derivative of -20 - 5/6*n**3 - 55/2*n**2 - 605/2*n. Factor g(p).
-5*(p + 11)**2/2
Let z(a) be the third derivative of a**6/60 + 13*a**5/15 - 14*a**4/3 + 3*a**2 - 137. Solve z(p) = 0.
-28, 0, 2
Factor 0 - 64*o**3 - 126*o**2 - 188/3*o - 2/3*o**4.
-2*o*(o + 1)**2*(o + 94)/3
Suppose -d - 7 = -3*g, 2*d + 81 = -3*g + 76. Let x be (3 - 9)*((-20)/(-15))/d. Suppose 4/11*l - 2/11*l**x + 16/11 = 0. What is l?
-2, 4
Let k(p) be the first derivative of -p**8/672 - p**7/210 + p**6/80 + p**5/30 - p**4/12 + 46*p**2 + 122. Let a(m) be the second derivative of k(m). Factor a(f).
-f*(f - 1)**2*(f + 2)**2/2
Let i = 6 - 7. Let v be (i/3)/(19/(-1824)). Factor v*s**2 - 8*s**3 + 4*s**5 + 1 + 4 - 33*s + 5*s - 8*s**4 + 3.
4*(s - 1)**4*(s + 2)
Let g(m) = 5*m**3 - 24*m**2 + 69*m - 73. Suppos