*5 + 2*l. Factor j(u).
-(u - 1)*(u + 1)*(u + 2)**2/2
Let l(p) be the first derivative of p**6/33 - 2*p**5/55 - p**4/11 + 41. Determine z so that l(z) = 0.
-1, 0, 2
Let -78*s**2 + 47*s**2 + 4 + 35*s**2 - 8*s = 0. What is s?
1
Let w = -216 - -216. Let z(l) be the third derivative of 0*l + 4*l**2 + 1/3*l**3 - 1/8*l**4 + w + 1/60*l**5. Let z(n) = 0. What is n?
1, 2
Let h(k) = -18*k**2 - 7*k. Let m(p) = -10*p**2 - 4*p. Let c(t) = -6*t**2 + t + 1. Let b be c(-1). Let y(z) = b*h(z) + 11*m(z). Factor y(s).
-2*s*(s + 1)
Let p(f) be the first derivative of 3*f**5/20 + f**4/2 - f**3/2 - 3*f**2 + 16*f - 12. Let o(g) be the first derivative of p(g). Suppose o(k) = 0. Calculate k.
-2, -1, 1
Solve -2 - 108/11*x**2 + x**3 - 141/11*x = 0.
-1, -2/11, 11
Let p(f) = 9*f**2 + 37*f - 20. Let s(m) = -8*m**2 - 39*m + 15. Let j(y) = 3*p(y) + 4*s(y). Factor j(n).
-5*n*(n + 9)
Factor 49/3*f**3 - 2723/3*f**2 + 1544/3*f - 220/3.
(f - 55)*(7*f - 2)**2/3
Let d(c) be the third derivative of -c**5/40 + c**4/16 - 108*c**2. Find s, given that d(s) = 0.
0, 1
Factor -2/11*y**5 + 0*y + 10/11*y**3 + 0*y**2 + 0 - 8/11*y**4.
-2*y**3*(y - 1)*(y + 5)/11
Let t(x) be the second derivative of 50/3*x**3 - 5/12*x**4 + 0 - 250*x**2 + 34*x. Suppose t(a) = 0. What is a?
10
Let u(r) be the third derivative of r**5/150 + r**4/12 - 14*r**3/15 + 22*r**2. Determine y so that u(y) = 0.
-7, 2
Factor -13372 + 1708 + 20*p + 412*p - 4*p**2.
-4*(p - 54)**2
Let k(g) = 3*g**2 + 24*g + 45. Let f(w) = -3*w**2 - 24*w - 45. Let q(l) = -3*f(l) - 4*k(l). Factor q(j).
-3*(j + 3)*(j + 5)
Factor 115/3*b - 5/3*b**2 + 0.
-5*b*(b - 23)/3
Let m be ((-2 - 3) + 4)/((-2)/4). Let f be m/4 + 60/40. Factor -5/2*b - 25/4 - 1/4*b**f.
-(b + 5)**2/4
Suppose 4*j**2 + 2*j - 56*j - 73*j - 25*j + 1444 = 0. Calculate j.
19
Suppose 0 + 40/9*n**2 + 2/9*n**4 - 32/9*n - 16/9*n**3 = 0. What is n?
0, 2, 4
Suppose -49*i + 66*i + 56*i = 0. Suppose -8/3*t**3 + 0*t - 4/3*t**2 - t**4 + i = 0. Calculate t.
-2, -2/3, 0
Let a = -2761 - -2761. Let -3/5*r**2 + 9/5*r + a = 0. Calculate r.
0, 3
Let y(b) be the first derivative of b**6/320 - b**5/160 - 9*b**2/2 + 9. Let d(o) be the second derivative of y(o). Solve d(z) = 0 for z.
0, 1
Suppose 2*a - 11*y + 6*y = 5, -2*a - 3*y + 13 = 0. Find l such that 103*l - a - 7*l + 3645*l**3 - 1215*l**2 + 39*l = 0.
1/9
Let j(t) be the second derivative of 2/27*t**3 + 30*t - 5/54*t**4 + 0 + 1/45*t**5 + 0*t**2. Determine i, given that j(i) = 0.
0, 1/2, 2
Let c(r) be the second derivative of -r**5/70 + 29*r**4/42 - 80*r**3/21 + 52*r**2/7 - 105*r + 1. Let c(n) = 0. Calculate n.
1, 2, 26
Let w(d) be the second derivative of d**8/11200 - d**6/1200 - 3*d**4/4 - d. Let v(j) be the third derivative of w(j). Let v(g) = 0. What is g?
-1, 0, 1
Let g(t) be the first derivative of 3*t**4 - 4/5*t**5 + 0*t - 4*t**3 + 2*t**2 - 18. Find z, given that g(z) = 0.
0, 1
Let r(k) be the second derivative of -k**4/15 + 4*k**3/5 + 256*k. Find q, given that r(q) = 0.
0, 6
Let t(i) be the second derivative of -1/720*i**6 - 1/180*i**5 + 2*i**2 + 0 + i + 1/144*i**4 + 1/18*i**3. Let r(u) be the first derivative of t(u). Factor r(q).
-(q - 1)*(q + 1)*(q + 2)/6
Suppose -3*r + r + 8 = 0. Let b be 3 - r/(-8)*-2. Determine m, given that 2*m + 5*m**2 + 1 + 3*m**2 - 9*m**2 - b = 0.
1
Let w = -4325/2 - -2164. Let j(r) be the first derivative of -1/6*r**6 - 1/2*r**2 + 0*r + 4/3*r**3 + 4/5*r**5 + 6 - w*r**4. Solve j(p) = 0 for p.
0, 1
Let s = 53089/40 - 1327. Let b(i) be the second derivative of 3/8*i**4 + 0 - 1/4*i**3 + 1/20*i**6 - 3*i + 0*i**2 - s*i**5. Let b(w) = 0. What is w?
0, 1
Let a(j) be the third derivative of 3*j**6/10 - 7*j**5/15 - 28*j**4/3 - 8*j**3 + 14*j**2 + 4*j. Factor a(y).
4*(y - 3)*(y + 2)*(9*y + 2)
Let c(f) be the second derivative of -f**8/4200 + f**7/1050 - f**5/150 + f**4/60 - 7*f**3/6 - 11*f. Let y(m) be the second derivative of c(m). Solve y(g) = 0.
-1, 1
Let t(h) = -3*h - 2. Let l be t(-3). Let k be (-25)/(-5) - 4 - -5 - 4. Factor -4*b**k + 5 - b + l + 9*b.
-4*(b - 3)*(b + 1)
Let n(q) be the first derivative of -q**7/420 + q**6/90 + 7*q**5/60 + q**4/3 + 8*q**3/3 - 6. Let u(z) be the third derivative of n(z). Factor u(p).
-2*(p - 4)*(p + 1)**2
Factor 3*x**2 - 29*x**2 - 360 + 0*x**3 - 5*x**3 - 44*x**2 - 300*x.
-5*(x + 2)*(x + 6)**2
Let u(j) be the third derivative of 9*j**7/350 - 3*j**6/20 - 29*j**5/100 + 9*j**4/20 + 4*j**3/5 - 17*j**2. Determine g, given that u(g) = 0.
-1, -1/3, 2/3, 4
Let r be -2 + (-6)/(-1680) + (-6)/(-3). Let q(d) be the third derivative of 8*d**2 - r*d**6 - 1/420*d**5 + 0*d - 1/735*d**7 + 0*d**4 + 0 + 0*d**3. Factor q(w).
-w**2*(w + 1)*(2*w + 1)/7
Let q = 1075 - 4295/4. Let g(y) be the first derivative of -1/12*y**3 + q*y**2 + y - 14 - 5/32*y**4. Let g(c) = 0. Calculate c.
-2, -2/5, 2
Determine m so that 1/5*m**2 - 174/5*m - 35 = 0.
-1, 175
Let m(z) be the first derivative of z**3/12 - z**2/4 - 2*z - 38. Factor m(w).
(w - 4)*(w + 2)/4
Let t(u) be the second derivative of u**6/195 + 14*u**5/13 + 2450*u**4/39 - 7*u - 4. Factor t(f).
2*f**2*(f + 70)**2/13
Let q(w) be the first derivative of 20/3*w**3 + 25/2*w**2 - 32 + 5/4*w**4 + 10*w. Factor q(y).
5*(y + 1)**2*(y + 2)
Let g(r) = -1925*r - 194050. Let n(z) = -z**2 - 3859*z - 388099. Let c(b) = -9*g(b) + 5*n(b). Let c(m) = 0. What is m?
-197
Let x(j) be the second derivative of j**4/78 - 2*j**3/39 - 15*j**2/13 - 130*j. Let x(d) = 0. What is d?
-3, 5
Let w(b) = 2*b**5 + 10*b**4 + 12*b**3 - 12*b - 4. Let c(k) = 10*k**5 + 50*k**4 + 60*k**3 + 2*k**2 - 59*k - 19. Let h(y) = 2*c(y) - 11*w(y). Factor h(l).
-2*(l - 1)*(l + 1)**3*(l + 3)
Suppose -3*n - n = -44. Let r be 7/5 - (7/5 - 2). Solve -n*v**4 - 16*v**2 + 42*v**3 + r*v + 9*v**5 - 18*v**4 - 15*v**4 + 7*v**5 = 0.
0, 1/4, 1/2, 1
Let l(v) be the third derivative of -v**5/90 - v**4/12 - 2*v**3/9 - 225*v**2. Factor l(i).
-2*(i + 1)*(i + 2)/3
Suppose 4*t - 42 = -5*g, -6 = -26*t + 22*t + g. Factor 1/5*y**t - 6/5*y + 1/5*y**2 + 0.
y*(y - 2)*(y + 3)/5
Let b = 60 + -63. Let o(t) = 2*t**4 + 15*t**3 - 3*t**2 - 15*t + 1. Let d(q) = q**4 + 7*q**3 - q**2 - 7*q. Let j(l) = b*o(l) + 7*d(l). Factor j(m).
(m - 1)*(m + 1)**2*(m + 3)
Suppose -3*n + 1 = -x, -14 - 5 = 3*n - 5*x. Let d be 3*(-1 - -3)/n. Suppose u - 3*u**3 + 51*u**2 - 49*u - 12*u**3 + d + 9 = 0. What is u?
2/5, 1, 2
Let x(g) be the first derivative of g**3/9 - 35*g**2/6 + 34*g/3 + 47. Factor x(i).
(i - 34)*(i - 1)/3
Let s = -166 - -665/4. Let l(h) be the third derivative of -10*h**2 + 1/4*h**5 + 1/70*h**7 + 0*h + 0*h**3 - s*h**4 - 1/10*h**6 + 0. Factor l(t).
3*t*(t - 2)*(t - 1)**2
Let q be (-6 - -2)/(9/(-8) - -1). Suppose 46*d - q = 38*d. Find w such that 0 + 2/5*w**5 + 2/5*w + 0*w**2 + 0*w**d - 4/5*w**3 = 0.
-1, 0, 1
Let m be (-3)/2*(-176)/66. Let h be (-68)/(-18) - (-8)/36. Let 2*r**4 + m*r**4 - r**3 + 4 + 8*r - 6 - h*r**2 - 7*r**3 = 0. Calculate r.
-1, 1/3, 1
Let m(o) = -8*o - 46. Let h be m(-6). Let b(g) be the second derivative of -3/50*g**5 + 0*g**h + 0 - 1/15*g**3 + 2/15*g**4 + 3*g. Find r, given that b(r) = 0.
0, 1/3, 1
What is v in 9*v**2 + 436*v + 431*v - 6*v**3 - 870*v = 0?
0, 1/2, 1
Let b(a) be the second derivative of -a**5/5 - 8*a**4/3 + 6*a**3 + 8*a + 1. Factor b(g).
-4*g*(g - 1)*(g + 9)
Let b(g) be the second derivative of -g**5/10 + 35*g**4 - 4900*g**3 + 343000*g**2 - 182*g. Factor b(s).
-2*(s - 70)**3
Suppose 14*c - 650 = c. Let s = 52 - c. Factor 0*w + 0 + 1/2*w**4 + w**3 + 1/2*w**s.
w**2*(w + 1)**2/2
Let q(a) be the third derivative of -a**5/60 + a**4/6 - 2*a**3/3 + 93*a**2. Factor q(y).
-(y - 2)**2
Let t(v) = 16*v + 20. Let s(i) = -i**2 - i - 1. Suppose -4 = -3*p + 8. Let k(o) = p*s(o) + t(o). Determine q so that k(q) = 0.
-1, 4
Let l(u) be the third derivative of u**8/840 + 41*u**7/1050 + 41*u**6/200 + 16*u**5/75 - 17*u**4/30 - 457*u**2. What is b in l(b) = 0?
-17, -2, 0, 1/2
Suppose -86 = -4*o + 226. Suppose -3*i = -3*q + 48, 4*i + o = 5*q + i. Find c such that -q*c + 28*c**3 - 13*c**3 - 6*c**2 + 5 + c**2 = 0.
-1, 1/3, 1
Let k(g) be the first derivative of -2/3*g**3 - 27 + 0*g**2 + 2*g. Factor k(x).
-2*(x - 1)*(x + 1)
Suppose -24192/5*r + 2/5*r**5 + 0 + 58/5*r**4 + 72*r**3 - 2592/5*r**2 = 0. What is r?
-12, 0, 7
Solve -131*s - 357 + 4*s**3 + 15*s + 2*s**2 - 10*s**2 + 477 = 0.
-5, 1, 6
Let t(z) be the third derivative of 8/5*z**5 - 8/105*z**7 + 5/