ive of -a**6/840 + 3*a**5/14 - 88*a**4/7 + 1936*a**3/21 - 2652*a**2. Factor l(i).
-(i - 44)**2*(i - 2)/7
Let p = -38849 + 38852. Let a(b) be the first derivative of 2/33*b**p + 2/11*b**2 - 6/11*b - 11. Factor a(r).
2*(r - 1)*(r + 3)/11
Let v = -80 - -89. Let 884 - 888 - v*i**2 - 15*i + 2*i**2 + 4*i = 0. What is i?
-1, -4/7
Suppose -3*k = -g - 0*g + 89, 4*g = 5*k + 160. Let o be (-102)/(-105) - (-16)/k. Factor -1/5*n**3 - 4/5*n**2 - o - n.
-(n + 1)**2*(n + 2)/5
Suppose 64*v + 32741*v**3 + 62*v**2 + 3*v**2 - 32740*v**3 = 0. What is v?
-64, -1, 0
Let u be 5/5 + 18*1. Let q = u - 16. Determine g so that 6*g**5 - q*g - 6*g**2 - 8*g**5 + 6*g**4 - g**5 + 6*g**5 = 0.
-1, 0, 1
Let p = 36787 + -183934/5. Factor 0 + p*c**5 - 2/5*c**4 + 0*c + 1/5*c**3 + 0*c**2.
c**3*(c - 1)**2/5
Let o(x) be the second derivative of x**7/14 + 3*x**6/10 - 3*x**5/10 - 3*x**4/2 + x**3/2 + 9*x**2/2 + 260*x. Let o(m) = 0. What is m?
-3, -1, 1
Determine m so that 505523 - 246760 - 2046783 - 5*m**2 + 5980*m = 0.
598
Let o(z) be the third derivative of z**6/40 - 7*z**5/5 - 29*z**4/8 - 232*z**2. What is d in o(d) = 0?
-1, 0, 29
Suppose -x + 7 - 2 = 0. Suppose 3*v + x*f = 4, -3*f + f = 8. Factor 0*s + v*s**2 + 2*s**2 - 7*s**3 - 8*s**3 + 5*s.
-5*s*(s - 1)*(3*s + 1)
Determine g so that 304*g**3 + 3*g**5 + g**5 - 1535*g + 812*g**2 + 1040 - 561*g - 268*g**4 + 204*g**3 = 0.
-2, 1, 2, 65
Let g(u) = -5*u**3 - 394*u**2 - 393*u + 788. Let r(i) = 13*i**3 + 788*i**2 + 784*i - 1575. Let x(q) = -10*g(q) - 4*r(q). Factor x(s).
-2*(s - 395)*(s - 1)*(s + 2)
Let k be (-5 + 48/12)*((-36)/(-9) - 7). Let -3/5 + 3/5*m + 3/5*m**2 - 3/5*m**k = 0. What is m?
-1, 1
Suppose -4/7*p**2 - 4560/7*p + 0 = 0. Calculate p.
-1140, 0
Let l(s) be the second derivative of -s**7/3780 + 37*s**6/1620 + 19*s**5/270 + 9*s**3/2 + 21*s - 2. Let t(x) be the second derivative of l(x). Factor t(b).
-2*b*(b - 38)*(b + 1)/9
Factor -1008 + 216*a - 15*a**2 + 1/3*a**3.
(a - 21)*(a - 12)**2/3
Let c(y) be the second derivative of -1/2*y**4 + 3*y - 1/10*y**5 + 0*y**3 + 0*y**2 + 9. Let c(v) = 0. Calculate v.
-3, 0
Let l = 298553/373210 + 3/74642. Let -l*o**3 + 0 - 8/5*o**4 + 8/5*o**2 - 2/5*o**5 + 6/5*o = 0. Calculate o.
-3, -1, 0, 1
Let l(x) = -1 - 30*x + 11*x + 13*x + 9*x. Let r(h) = -h**2 - 3*h - 10. Let p(w) = 6*l(w) - 3*r(w). Factor p(u).
3*(u + 1)*(u + 8)
Suppose 0 = -5*l - 5*a + 15, -5*l - 95*a + 15 = -92*a. Factor -2/5*n**l + 24/5 + 8/5*n - 6/5*n**2.
-2*(n - 2)*(n + 2)*(n + 3)/5
Let l(v) be the second derivative of -v**4/54 + 284*v**3/27 - 20164*v**2/9 + 271*v + 8. Factor l(i).
-2*(i - 142)**2/9
Let s(u) be the second derivative of -5*u**7/168 + u**6/24 + u**5/4 - 5*u**4/12 + 148*u + 9. What is t in s(t) = 0?
-2, 0, 1, 2
Let v(p) = -p**3 - 2*p**2 - p + 1. Let t(x) = -7*x**3 + 40*x**2 + 159*x + 117. Let i(s) = -2*t(s) + 10*v(s). Suppose i(l) = 0. Calculate l.
-2, -1, 28
Let b = 387036 + -107983387/279. Let n = b + 45/31. Suppose 2/3*y + 4/9 + n*y**2 = 0. Calculate y.
-2, -1
Let z = 6776742/5 - 1355348. Factor -8/5*q + 8/5*q**3 - 2/5*q**2 + z.
2*(q - 1)*(q + 1)*(4*q - 1)/5
Let v(k) = 33*k**2 + 336*k + 2169. Let p(f) = -89*f**2 - 1006*f - 6505. Let h(g) = 3*p(g) + 8*v(g). Let h(i) = 0. Calculate i.
-103, -7
Suppose 1/3*l**2 + 176 + 56/3*l = 0. Calculate l.
-44, -12
Suppose -l = 3*z + 3 + 7, 0 = z. Let s be (4/6)/(l/15) - -4. Factor i**2 - 2*i + 4*i - 4*i**2 + i**s.
i*(i - 2)*(i - 1)
Let n = -228819 + 1368605/6. Let h = 719 + n. Find x, given that -h*x + 2/3*x**2 - 1/6*x**3 + 1/3 = 0.
1, 2
Let w(x) be the first derivative of -x**4/8 - 73*x**3/2 - 109*x**2/2 + 686. Let w(z) = 0. What is z?
-218, -1, 0
Let t(z) be the first derivative of 1/2*z**4 - 7/30*z**5 + 25/18*z**3 + 52 + 1/2*z**2 + 0*z. Solve t(n) = 0.
-1, -2/7, 0, 3
Let v = 67523/162228 + 6/13519. Let p(s) be the second derivative of 16*s + 1/4*s**5 - 30*s**2 + v*s**4 + 0 - 20/3*s**3. Determine d, given that p(d) = 0.
-2, 3
Let w be (22 - 15) + (-2 + (-21)/9)*1. Find i such that -2/3*i**2 - 16/3*i**3 + w + 5*i - 2*i**4 + 1/3*i**5 = 0.
-1, 1, 8
Let k be (-9)/(-1) + 295/(-50) + 845/(-325). Solve k*h**2 - 1/4*h**3 - 9 + 15/4*h = 0 for h.
-4, 3
Let l be 675/450*((-4)/(-20) + 19/5). Let n(r) be the first derivative of -1/20*r**5 + 1/4*r**3 - 1/16*r**4 + l + 1/8*r**2 - 1/2*r. Solve n(h) = 0.
-2, -1, 1
Let o(n) = 2*n**2 + 6*n - 54. Let l be o(-7). Factor 66 - 3*q**2 - 116 - q - 2*q**l - 63*q + 9*q.
-5*(q + 1)*(q + 10)
Let l be ((-6)/1)/((-3760)/4606). Let y(b) be the second derivative of -2*b**2 - b**3 + 25*b - l*b**6 + 287/40*b**5 + 29/4*b**4 + 0. Let y(t) = 0. Calculate t.
-2/7, 2/9, 1
Let s(o) = -1497 + 2*o**2 + 2904 - 1473 - 9*o + 0*o**2. Let l be s(-4). Suppose -10/3*t**3 - 1/3*t**4 - 13/3*t**l + 20*t - 12 = 0. Calculate t.
-6, 1
Find x such that 1/2*x**3 - 8*x + 0 + 3/4*x**4 - 12*x**2 = 0.
-4, -2/3, 0, 4
Let j(p) be the first derivative of 0*p**2 + 10 + 1/70*p**5 - 1/42*p**4 + 7/3*p**3 - 1/504*p**6 + 0*p. Let y(k) be the third derivative of j(k). Factor y(q).
-(q - 2)*(5*q - 2)/7
Let h(v) be the first derivative of -42 + 0*v**2 + 0*v**3 + 1/54*v**4 - 17*v. Let i(u) be the first derivative of h(u). Suppose i(w) = 0. Calculate w.
0
Let n(x) = -165 + 0*x - 15*x + 189*x**2 + 82*x**3 - 19*x**3. Let l(z) = -13*z**3 - 38*z**2 + 3*z + 33. Let d(h) = -24*l(h) - 5*n(h). Factor d(t).
-3*(t - 1)*(t + 1)*(t + 11)
Suppose -105*k + 104*k + p + 1 = 0, -3*p = 4*k - 25. Let y(m) be the first derivative of -2/3*m**4 + 16/3*m - 9 - k*m**3 - 2*m**2. Suppose y(i) = 0. What is i?
-4, -1, 1/2
Let f(g) be the third derivative of -2*g**7/105 + 49*g**6/30 - 263*g**5/15 + 215*g**4/6 + 5*g**2 - 53*g - 1. Factor f(h).
-4*h*(h - 43)*(h - 5)*(h - 1)
Let a be ((-90)/40 + 2)*-16 + -4. Let r(h) be the third derivative of 1/69*h**3 - 2/69*h**4 + 16*h**2 + a + 8/345*h**5 + 0*h. Suppose r(d) = 0. What is d?
1/4
Factor -23164 + 22964 + 3*o**2 - 9*o**2 + 245*o.
-(o - 40)*(6*o - 5)
Let k(f) be the first derivative of -3*f**5/80 - f**4/4 - 5*f**3/8 - 3*f**2/4 - 10*f + 83. Let z(d) be the first derivative of k(d). What is r in z(r) = 0?
-2, -1
Find g such that 2/11*g**2 + 938/11 - 940/11*g = 0.
1, 469
Let v be (-46)/(-4) + (-13)/(-26). Let g be (4/3)/(v/18). Determine l, given that 50*l - 125 - l**2 + 4*l**2 - 8*l**g = 0.
5
Factor 7/4*v**4 - 85/4*v**2 - 3 + 16*v + 13/2*v**3.
(v - 1)**2*(v + 6)*(7*v - 2)/4
Let g(c) be the second derivative of 2*c**6/15 + 324*c**5/5 - 326*c**4 + 1960*c**3/3 - 654*c**2 - 1300*c. Determine x so that g(x) = 0.
-327, 1
Let v = -1997 - -9991/5. Let w(p) be the first derivative of -3 - 3/2*p**2 + 9/2*p**3 + v*p**5 - 9/2*p**4 + 0*p. Factor w(u).
3*u*(u - 2)*(2*u - 1)**2/2
Let w(m) be the third derivative of 0*m**3 + 1/735*m**7 + 0 - 11/210*m**5 + 0*m - 56*m**2 + 1/105*m**6 + 1/14*m**4. Determine h so that w(h) = 0.
-6, 0, 1
Let f(y) be the first derivative of 4*y**5/5 + 13*y**4 - 4*y**3/3 - 26*y**2 - 3224. Find l, given that f(l) = 0.
-13, -1, 0, 1
Let s(l) be the third derivative of l**8/15680 - l**7/5880 - l**6/840 + 53*l**4/12 - 6*l**2 - 3. Let u(c) be the second derivative of s(c). Factor u(q).
3*q*(q - 2)*(q + 1)/7
Factor 0*y**2 + 37 - 145 - 22*y**2 + 197*y**3 - 23*y - 196*y**3 - 108*y.
(y - 27)*(y + 1)*(y + 4)
Let i be 3/2 - (-39024)/96. Solve 120 - i + 400*r**2 + 48*r - 197*r**2 - 205*r**2 = 0 for r.
12
Let c = 23933/3160 - -83/3160. Factor 2/5*y - 2/5*y**3 - 38/5 + c*y**2.
-2*(y - 19)*(y - 1)*(y + 1)/5
Let u be 439/(73/(-45) + (-70)/(-315)). Let d = -313 - u. Factor 0 + 4/7*y**3 + d*y**4 + 0*y + 0*y**2.
4*y**3*(y + 1)/7
Let r = 4277/169480 - 1/4237. Let v(i) be the first derivative of 1/20*i**2 + 1/50*i**5 - 1/30*i**3 + 0*i - 27 - r*i**4. Find z such that v(z) = 0.
-1, 0, 1
Let z(p) be the third derivative of -p**7/210 + 11*p**6/60 + 4*p**5/5 - 1104*p**2. Suppose z(o) = 0. Calculate o.
-2, 0, 24
Let n(d) be the second derivative of -6*d**7/7 + 104*d**6/5 - 772*d**5/5 + 832*d**4/3 - 512*d**3/3 + 95*d + 26. Factor n(t).
-4*t*(t - 8)**2*(3*t - 2)**2
Suppose -2*s - 10*n + 6*n - 6 = 0, -5*s = 2*n + 39. Let f be (3/(-76))/(s/48). Factor 18/19*u - 24/19*u**2 + 0 + 2/19*u**5 - f*u**3 + 8/19*u**4.
2*u*(u - 1)**2*(u + 3)**2/19
Let j(q) be the first derivative of -q**3/3 + 35. Let s(v) = -2*v**3 - 14*v**2 - 32*v. Let l(x) = -2*j(x) - s(x). Factor l(i).
2*i*(i + 4)**2
Let l(g) be the second deriv