- 3)*(l - 1)**2*(2*l + 1)
Let c(w) be the second derivative of -2 + 8/3*w**3 - 64*w**2 - 1/24*w**4 - 5*w. Suppose c(t) = 0. What is t?
16
Let l(b) be the first derivative of -2*b**6/15 - b**5/5 + 9*b**4/5 + 38*b**3/15 - 16*b**2/5 - 33*b/5 - 2950. Let l(y) = 0. Calculate y.
-3, -1, 1, 11/4
Factor -7146*h + 4*h**2 + 814 + 13357*h - 3*h**2 - 7026*h.
(h - 814)*(h - 1)
Let d be 14/(-5 - -7) + -221. Let b = d - -214. Determine c so that 0*c**3 - 3/8*c**2 + b*c + 0 + 3/8*c**4 = 0.
-1, 0, 1
Let n = 16577/3 - 5410. Let b = -113 + n. Factor -8/3 + b*w - 2/3*w**2.
-2*(w - 2)**2/3
Let g(s) be the first derivative of -54/13*s - 30/13*s**3 + 25/26*s**4 + 77 - 81/13*s**2. Factor g(q).
2*(q - 3)*(5*q + 3)**2/13
Let d(f) be the first derivative of f**5/10 - 3*f**4/4 - 33*f**3/2 + 81*f**2 + 1458*f - 1383. Factor d(q).
(q - 9)**2*(q + 6)**2/2
Let g be ((-1)/1 - 2)/(3/(-3)). Let m(n) = -n + 8. Let y be m(g). Factor 6*f**3 + 9*f**3 - y*f**5 - 5*f**4 - 6*f + 16*f + 25*f**2.
-5*f*(f - 2)*(f + 1)**3
Let t(s) be the second derivative of -s**7/175 - 7*s**6/200 - 2*s**5/25 - 3*s**4/40 + 79*s**2 - 24*s. Let b(g) be the first derivative of t(g). Factor b(j).
-3*j*(j + 1)**2*(2*j + 3)/5
Let k(f) = -388*f**2 - 69*f + 522. Let a(j) = -141*j**2 - 23*j + 174. Let y(d) = 11*a(d) - 4*k(d). Solve y(w) = 0.
-29, 6
Let i be -6*1026/(9 + -3). Let r = -1024 - i. Find l such that 3/4*l**3 + 0*l**r - 3/4*l**4 + 0 + 0*l = 0.
0, 1
Let v(x) be the third derivative of -x**7/42 - 175*x**6/24 - 2463*x**5/4 + 117035*x**4/24 - 39605*x**3/3 - x**2 - 2529*x. Let v(k) = 0. What is k?
-89, 1, 2
Let k(f) be the first derivative of -f**5/15 - 3*f**4/4 + 286*f**3/9 - 3019. Factor k(p).
-p**2*(p - 13)*(p + 22)/3
Let h(t) be the second derivative of -1/6*t**4 - 5/3*t**2 + 0 + 259*t + 16/9*t**3. Factor h(g).
-2*(g - 5)*(3*g - 1)/3
Let t(g) be the third derivative of -3/20*g**5 + 0 + 1/2*g**4 + 2*g**3 + 33*g**2 - 1/20*g**6 + 0*g + 1/70*g**7. What is d in t(d) = 0?
-1, 2
Suppose -14 = 2*t + 3*s, 5*t - s + 7 = -11. Let r be 26/8 + t - 756/(-240). Suppose -2/5*y**3 - 18/5*y + r*y**2 + 0 = 0. What is y?
0, 3
Factor 75 + 217*k**3 + 194*k**2 - 271 - 19*k**3 + 7*k**4 - 198*k - 5*k**4.
2*(k - 1)*(k + 1)**2*(k + 98)
Let b(z) = 4910*z - 88378. Let o be b(18). Let 216*s**3 - 285/2*s + 6 + 828*s**o = 0. What is s?
-4, 1/12
Let o(n) be the first derivative of -35*n**4 - 460*n**3/3 - 435*n**2/2 - 90*n + 796. Factor o(c).
-5*(2*c + 3)**2*(7*c + 2)
Find a such that -2/5*a**2 - 92/5*a - 336/5 = 0.
-42, -4
Let v(a) = -23*a**2 - 44*a - 49. Let z(g) = 3*g**2 + 1. Let l(s) = -2*v(s) - 14*z(s). Factor l(j).
4*(j + 1)*(j + 21)
Let p = -1630677 + 4892041/3. Factor -5/3*g**3 + 1/3*g**4 - g**2 + 13/3*g + p.
(g - 5)*(g - 2)*(g + 1)**2/3
Let q(u) be the first derivative of -u**7/1680 + u**5/80 + u**4/24 - 17*u**3/3 - 9. Let s(o) be the third derivative of q(o). Factor s(m).
-(m - 2)*(m + 1)**2/2
Factor 630*w**2 + 675 - 418*w + 103*w - 282*w + 126*w + 5*w**5 - 25*w**4 - 744*w - 70*w**3.
5*(w - 3)**3*(w - 1)*(w + 5)
Let i be 314/6 - (4 + 56/(-21)). Let 10*z - 6*z**3 + 56*z**4 + 4*z**5 + z**5 - 81*z**4 - 35*z**2 + i*z**3 = 0. Calculate z.
0, 1, 2
Let b(s) = 880*s**3 + 432*s**2 + 56*s - 12. Suppose 6*a = -a - 112. Let q(v) = v**3 - v - 1. Suppose 6*t - 3 = 3. Let f(x) = a*q(x) + t*b(x). Factor f(l).
4*(6*l + 1)**3
Let i be 116438/714 + (-35)/21. Determine y, given that -i*y + 588/17*y**2 + 2/17*y**4 + 4802/17 - 56/17*y**3 = 0.
7
Let n(i) be the third derivative of 1/65*i**5 - 2*i**2 - 1/156*i**4 + 0 - 2/13*i**3 + 3*i + 1/780*i**6. Factor n(g).
2*(g - 1)*(g + 1)*(g + 6)/13
Let r = 1003 + -998. Let s(j) be the third derivative of -2/15*j**6 + 0 + 0*j**4 + 1/15*j**r + 0*j + 2/35*j**7 + 0*j**3 - 6*j**2. Factor s(g).
4*g**2*(g - 1)*(3*g - 1)
Factor 101*z - 71*z**2 + 27*z**4 + 317*z**2 - 144*z**3 - 184*z - 3*z**5 - 106*z + 54 + 9*z**4.
-3*(z - 6)*(z - 3)*(z - 1)**3
Factor 716/5*i**2 - 4/5*i**3 + 0 + 1448/5*i.
-4*i*(i - 181)*(i + 2)/5
Let r = 61385 + -61383. Let 1/5 - r*j**2 + 1/5*j + 8/5*j**3 = 0. What is j?
-1/4, 1/2, 1
Let f = -299 - -304. Solve -131*m - 5*m**f - 10 - 70*m**3 + 181*m - 30*m**4 - 80*m**2 - 95*m = 0 for m.
-2, -1
Let a be 322452/5512*150/52. Solve 357/4*q**2 + 49/4*q**3 + 855/4*q + a = 0 for q.
-3, -15/7
Let p(u) be the second derivative of -9*u**5/5 + 5*u**4 + 64*u**3/3 + 24*u**2 - 694*u. Factor p(t).
-4*(t - 3)*(3*t + 2)**2
Let n be -5 + 424/3*(-297)/(-36). Factor 438*b**2 - 9*b**3 + 15 - n*b + 267 + 450*b.
-3*(b - 47)*(b - 1)*(3*b - 2)
Let v be (8*(-6)/78)/4*26*-1. Find y such that 38/3*y**v + 448/3*y**3 + 4096/3*y + 2/5*y**5 - 8192/15 + 768*y**2 = 0.
-8, 1/3
Let s(j) be the first derivative of -3*j**4/4 + 11*j**3 + 123*j**2 - 1680*j - 6720. What is q in s(q) = 0?
-8, 5, 14
Factor -39 + 194*r - 135*r + 5*r**2 - 152 - 19 - 154*r.
5*(r - 21)*(r + 2)
Let g(m) be the first derivative of -12*m + 5/3*m**3 - 1/10*m**5 + 1/8*m**4 + 66 - m**2. Let g(u) = 0. Calculate u.
-2, 2, 3
Let a(i) be the third derivative of -i**6/180 + 4*i**5/15 - 73*i**3/6 - 79*i**2. Let m(q) be the first derivative of a(q). Factor m(v).
-2*v*(v - 16)
What is s in 18 - 28*s**2 + 1 - 19 + s**3 - 2*s**3 - 160*s = 0?
-20, -8, 0
Let l(g) be the second derivative of -g**4/16 - 1285*g**3/8 - 223*g - 8. Factor l(f).
-3*f*(f + 1285)/4
Determine l, given that -76/3*l**3 + 230/3*l - l**2 - 152/3 + 1/3*l**4 = 0.
-2, 1, 76
Let m(d) be the third derivative of 0*d + 3*d**3 - 2*d**2 + d**4 - 1/15*d**5 + 1/105*d**7 - 1/15*d**6 - 8. What is j in m(j) = 0?
-1, 3
Let c be ((-3)/(-5) - (-880)/(-50))/(-1). Suppose 9*y - 52 = -c*y. Factor -12/5*l - 3/5*l**y - 9/5.
-3*(l + 1)*(l + 3)/5
Let 8 + 14/5*c**4 - 52/5*c**3 - 114/5*c**2 + 112/5*c = 0. What is c?
-2, -2/7, 1, 5
Let q = 179 - 107. Let u = q - 70. Solve -336*y - 2*y**3 - y**3 + 44*y**u + 94*y + y**3 = 0 for y.
0, 11
Let l(r) = -192*r**3 - 4200*r**2 - 4140*r - 176. Let p(v) = 13*v**3 + 280*v**2 + 276*v + 12. Let j(n) = 3*l(n) + 44*p(n). Find s, given that j(s) = 0.
-69, -1, 0
Let r(i) = -2*i**2 + i - 2. Let q(a) = -6*a**3 - 341*a**2 + 1234*a - 539. Let p(t) = q(t) - 4*r(t). Suppose p(d) = 0. What is d?
-59, 1/2, 3
Let c be -47*(-6 + 6 + -1). Factor 1 - 62*n + c*n + n**2 - 1.
n*(n - 15)
Let d be (1 - (-11)/(-13)) + 11948/754. Find o such that -2*o**2 - d - 4*o**2 + 0*o**2 + 5*o**2 - 10*o = 0.
-8, -2
Let u = 172 - 170. Factor -21699*r**u + 21683*r**2 - r + 11*r + 15 + 13 + 2*r**3.
2*(r - 7)*(r - 2)*(r + 1)
Let g be ((-4)/(-7))/(15/105). Suppose -b + 0*b - t = -8, -2*b - 4*t = -22. Solve -4*a**4 + b*a**2 + 3*a**4 - 4*a**g = 0.
-1, 0, 1
Let x(y) be the second derivative of 1/1440*y**6 + 1/120*y**5 + 0*y**2 + y**3 + 0 - 2*y + 1/24*y**4. Let l(m) be the second derivative of x(m). Factor l(r).
(r + 2)**2/4
Let s(r) = -r**3 + 11*r**2 - 12*r + 24. Let t be s(10). Suppose 4*h + 0 + 1 = -d, t = d - h. Factor 4*n**d + 2*n - n**5 + 0*n**5 + 7*n + 2*n**2 - 12*n - 2.
-(n - 2)*(n - 1)*(n + 1)**3
Let q(s) be the third derivative of s**7/1260 - s**6/90 + s**5/20 - 161*s**4/24 - s**2 - 103*s. Let z(u) be the second derivative of q(u). Factor z(a).
2*(a - 3)*(a - 1)
Suppose 2190 = -365*g + 359*g. Let j = -361 - g. Suppose 2/5*k - 2/5*k**3 - 2/5*k**2 + 0 + 2/5*k**j = 0. What is k?
-1, 0, 1
Let n(m) be the second derivative of m**6/45 + 49*m**5/3 + 61477*m**4/18 + 118580*m**3/3 + 175692*m**2 - 5418*m. Let n(k) = 0. Calculate k.
-242, -3
Let u(p) be the third derivative of p**7/3150 + 29*p**6/450 + 841*p**5/150 + 7*p**4/6 + 155*p**2. Let g(o) be the second derivative of u(o). Factor g(h).
4*(h + 29)**2/5
Suppose -20 = -3*p - p. Suppose 0 = -p*j - j + 18. Let 0*x**j - 5*x - x**3 - 3*x**2 + 3*x + 0*x**3 = 0. What is x?
-2, -1, 0
Factor 266256/5 + 1032/5*c + 1/5*c**2.
(c + 516)**2/5
Let s(p) = -p**5 - p**4 + 2*p**3 - p**2 - p + 2. Let v(c) = -6*c**5 + 344*c**4 + 1404*c**3 + 2064*c**2 + 1370*c + 360. Let n(o) = 8*s(o) - v(o). Factor n(k).
-2*(k + 1)**4*(k + 172)
Factor 2/17*k**4 + 0 - 32/17*k - 22/17*k**3 + 52/17*k**2.
2*k*(k - 8)*(k - 2)*(k - 1)/17
Let b(w) = 14*w**3 + 12*w**2 - 16*w - 10. Let h(n) = -12*n**3 - 12*n**2 + 16*n + 8. Let o(f) = 4*b(f) + 5*h(f). Factor o(z).
-4*z*(z - 1)*(z + 4)
Let x = -7384 + 59075/8. Let n(p) be the first derivative of 1/8*p**2 - 1/3*p**3 + 0*p + 1/24*p**6 - 1/5*p**5 - 21 + x*p**4. Determine y so that n(y) = 0.
0