1)**3*(u + 210)**2/9
Let k(s) = s**3 - 6*s**2 + 7*s - 7. Let u be k(5). Suppose -5*a + 4*i + 1 = 0, 0 = -u*a - i - 2 + 6. Factor 2*p**2 - 3*p**2 + 0 + a.
-(p - 1)*(p + 1)
Let l(i) be the first derivative of -i**5/5 - 8*i**4/3 - 26*i**3/3 - 12*i**2 + 133*i + 57. Let m(v) be the first derivative of l(v). Factor m(s).
-4*(s + 1)**2*(s + 6)
Let m(i) be the third derivative of -i**6/420 + 29*i**5/70 - 205*i**4/42 - 176*i**2 + 2*i + 1. Let m(z) = 0. Calculate z.
0, 5, 82
Let t(x) be the second derivative of x**7/42 - x**6/8 - x**5/3 + 39*x**2/2 + 78*x. Let n(z) be the first derivative of t(z). Let n(i) = 0. What is i?
-1, 0, 4
Let s be 3 + (-1063)/(-6*5/(-10)). Let y = s - -352. Find u such that y*u**2 + 50/3 + 20/3*u = 0.
-5
Let s be 12/(-30)*20/3*-7044. Suppose -7*t + 3*t = -s. Factor 10 - 60*j**3 + 4781*j**2 - t*j**2 + 24*j + 41*j.
-5*(j - 2)*(3*j + 1)*(4*j + 1)
Let m(w) be the second derivative of w**5/120 - 31*w**4/9 + 4687*w**3/12 + 27735*w**2/2 - 8123*w. Determine b, given that m(b) = 0.
-10, 129
Let v(h) be the third derivative of 34*h + 1/24*h**4 + 2*h**2 + 0 + 0*h**3 + 1/480*h**6 + 1/60*h**5. What is q in v(q) = 0?
-2, 0
Suppose -3*w**3 - 8*w + w**3 + 42*w**2 - 480 - 168 - w**3 - 55*w = 0. What is w?
-3, 8, 9
Suppose -7 + 4 = -p, 3*d + 3 = 2*p. Let j be 28/20 - d/((-5)/3). Factor 2/23*m**j + 4/23 - 6/23*m.
2*(m - 2)*(m - 1)/23
Let o be -9 + -1 + 17 + -15 + 336/33. What is t in 25/11 - 1/11*t**2 - o*t = 0?
-25, 1
Let x be (-6253)/(-259) + (-1)/7. Let c be ((-119)/51)/(x/(-54)). Let c*l**3 + 3*l - 12*l**2 + 0 = 0. Calculate l.
0, 2/7, 2
Suppose t + 3*m + 10 = 0, 2*t + 5 = -5*m - 11. Solve -36*s + 11 + 15*s**2 - s**4 - 20*s**t + 10*s**2 + 9 + 12*s**2 = 0.
-5, 1, 2
Let m(g) be the third derivative of g**5/12 + 605*g**4/24 + 100*g**3 - 413*g**2 + 1. Factor m(x).
5*(x + 1)*(x + 120)
Let n be -5 + 3 - ((-45)/(6480/(-64)) + (-520)/198). Factor -58/11 + 60/11*w - n*w**2.
-2*(w - 29)*(w - 1)/11
Let l(c) = -13*c**4 + 622*c**3 + 643*c**2 - 627*c - 665. Let o(w) = -6*w**4 + 312*w**3 + 322*w**2 - 314*w - 330. Let i(n) = 2*l(n) - 5*o(n). Factor i(t).
4*(t - 80)*(t - 1)*(t + 1)**2
Let j be 6/(-1) + (-2562)/(-420). Let o(p) be the second derivative of -j*p**6 + 3/10*p**5 - 9/2*p**2 - p**3 + 18*p + 0 + p**4. Find c such that o(c) = 0.
-1, 1, 3
Let n(y) be the third derivative of -y**6/540 + 223*y**5/90 + 1007*y**4/54 + 448*y**3/9 - 1245*y**2. Factor n(m).
-2*(m - 672)*(m + 1)*(m + 2)/9
Determine v so that v**4 - 73*v**2 + 41*v**3 + 131*v - 77*v**2 - 86*v**2 - 44 + 107*v**2 = 0.
-44, 1
Determine y so that 265/4*y - 1/2*y**2 + 133/4 = 0.
-1/2, 133
Suppose 4*p = 3*h, 3*h + 5*p = -0*h - 27. Let q = -1 - h. Factor 0*v**q - 4*v**2 + 3*v**3 + 4*v - 3*v.
v*(v - 1)*(3*v - 1)
Suppose -300 = -24*h + 924. Let q be 8 + ((-33)/h - 7). Let -q*b + 4/17 + 2/17*b**2 = 0. Calculate b.
1, 2
Let b(v) = 27*v**2 - 810*v + 138. Let m(f) = 58*f**2 - 1619*f + 299. Let x(w) = -13*b(w) + 6*m(w). Suppose x(y) = 0. Calculate y.
0, 272
Let j(b) = -6*b**3 - b. Let i(m) = 1278*m**3 - 1332*m**2 + 445*m - 49. Let w(d) = -2*i(d) + 6*j(d). Solve w(o) = 0 for o.
1/4, 7/18
Let t(z) be the first derivative of z**7/490 + 3*z**6/280 + z**5/70 + 50*z**2 + 128. Let g(d) be the second derivative of t(d). Factor g(l).
3*l**2*(l + 1)*(l + 2)/7
Let g(k) be the third derivative of 7*k**6/240 + 19*k**5/60 + 2*k**4/3 - 8*k**3/3 + 6*k**2 + 93. Factor g(q).
(q + 2)*(q + 4)*(7*q - 4)/2
Let o(p) be the first derivative of -1/18*p**3 + 20/3*p + 252 + 1/4*p**2. Solve o(a) = 0.
-5, 8
Let s be ((-44)/(-748))/(-1 + (-642)/(-623)). Let x = s + -31/17. Factor x*f - 2/19*f**3 + 2/19*f**2 - 2/19.
-2*(f - 1)**2*(f + 1)/19
Let t(i) = 552*i**3 - i**2 + 20*i - 20. Let z be t(1). Let a = 551 - z. Find o such that 4/11*o + a - 4/11*o**4 + 6/11*o**2 - 6/11*o**3 = 0.
-2, -1/2, 0, 1
Factor -2986*o + 5874 + 2874 + 696*o**2 - 1388*o + 2*o**4 - 66*o**3 + 114*o**2.
2*(o - 9)**3*(o - 6)
Let m(y) be the second derivative of 16/3*y**3 + 30*y**2 + 10 + 1/3*y**4 + 4*y. Suppose m(u) = 0. What is u?
-5, -3
Determine v so that -76 + 32*v + 0*v**3 - 101 + 46 - 4*v**4 + 3 + 48*v**2 - 8*v**3 = 0.
-4, -2, 2
Suppose 3*l - s = 107, 2*s + 99 - 29 = 2*l. Factor l*j - 17 + 12*j**2 + 3*j**3 + 49 - 2*j**3.
(j + 2)**2*(j + 8)
Determine c, given that -1/6*c**5 - 10/3*c + 2/3*c**4 - 8/3*c**2 + 3/2*c**3 + 0 = 0.
-2, -1, 0, 2, 5
Let g(i) be the first derivative of -57 + 0*i + 8/33*i**3 + 2/55*i**5 + 2/11*i**4 + 0*i**2. Determine z so that g(z) = 0.
-2, 0
Let t = 264684 + -794047/3. Factor 0 - 1/3*d**4 - 2*d + t*d**2 + 2/3*d**3.
-d*(d - 3)*(d - 1)*(d + 2)/3
Suppose 8 + 92*x**3 - 590*x + 125780*x**2 + 54*x**3 - 125344*x**2 = 0. Calculate x.
-4, 1/73, 1
Let w(g) be the first derivative of -2/45*g**3 - 242/15*g + 22/15*g**2 + 66. Factor w(t).
-2*(t - 11)**2/15
Let y(f) be the second derivative of -5*f**4/72 + 20*f**3/9 - 25*f**2 - 10*f - 48. Suppose y(p) = 0. Calculate p.
6, 10
Let k = 714147 + -10708108/15. Let v = k - 273. Factor 4/15 - v*y**2 - 2/15*y.
-2*(y - 1)*(y + 2)/15
Suppose 461 + 433 = 290*t - 266. Suppose 3/8*s**t - 3/4 + 9/8*s**3 - 9/8*s + 3/8*s**2 = 0. Calculate s.
-2, -1, 1
Let a(b) be the second derivative of -5*b**7/42 + 10*b**6/3 - 121*b**5/4 + 115*b**4/2 + 510*b**3 - 1620*b**2 - 1740*b. Let a(g) = 0. What is g?
-2, 1, 6, 9
Let c(s) be the third derivative of s**6/30 - s**5 + 2*s**4 + 56*s**3/3 + 1301*s**2. Factor c(x).
4*(x - 14)*(x - 2)*(x + 1)
Determine o so that -43*o**2 + 81*o**2 - 24*o**2 - 9*o**3 + 8*o**3 = 0.
0, 14
Let a(v) be the second derivative of 5*v**4/12 - 220*v**3/3 - 2891*v. Factor a(o).
5*o*(o - 88)
Suppose 15*z + 44 = 17*z. Let t be 3/z*(-12)/(-9). Factor 6/11 + 8/11*r + t*r**2.
2*(r + 1)*(r + 3)/11
Let o(c) be the third derivative of 0*c**3 + 1/7*c**4 - 1/420*c**6 + 0*c - 125*c**2 + 0 + 11/210*c**5. Suppose o(z) = 0. What is z?
-1, 0, 12
Solve 62/5*v - 2/5*v**2 + 72 = 0 for v.
-5, 36
Let b(l) = l**4 - 10*l**3 - 6*l**2 + 98*l + 138. Let n(j) = -5*j**4 + 51*j**3 + 29*j**2 - 491*j - 687. Let k(d) = 11*b(d) + 2*n(d). Solve k(t) = 0 for t.
-2, 6
Let b = 7957 + -7948. Let p(h) be the first derivative of 3*h**2 + b - 4*h - 2/3*h**3. Factor p(n).
-2*(n - 2)*(n - 1)
Factor 0 + 56/3*r**2 + 32*r + 2/9*r**4 + 32/9*r**3.
2*r*(r + 4)*(r + 6)**2/9
Let j(z) = z**2 + 15*z + 105. Let r(f) be the second derivative of -f**3/6 + f**2/2 - 3*f - 6. Let w(x) = j(x) - 5*r(x). Find a such that w(a) = 0.
-10
Let m = 163 + -523. Let q be 8/60 + (-1572)/m. Suppose 3/4*t + q - 3/4*t**2 = 0. Calculate t.
-2, 3
Suppose 195*l - 28 = -102*l + 566. Let i(c) = 8*c - 40. Let j be i(5). Factor 0 + j*h - 2/3*h**4 - 2*h**3 + 0*h**l.
-2*h**3*(h + 3)/3
Let j be (-2)/4*(-10)/4. Let v(s) = s**2 + 1204*s + 20183. Let a be v(-17). Find i, given that 0*i**2 + 5/2*i**3 - 5/4*i**a - 5/2*i + j = 0.
-1, 1
Suppose 2*q - 4*w = 4*q - 16, 0 = -5*w + 10. Factor q + 0 - 81*l + 76*l + l**2.
(l - 4)*(l - 1)
Let z be (-3135)/(-60)*114/1881. Factor 1/6*n**3 + 13/2*n + z + 7/2*n**2.
(n + 1)**2*(n + 19)/6
Let m be 92 + 12/(-8)*-4. Suppose -141*c**2 - m*c**4 - 13*c**3 + 97*c**4 - 100 + 35*c**3 + 220*c = 0. Calculate c.
1, 10
Let g be ((-2)/10)/((-61)/1220). Let w(v) be the third derivative of 1/12*v**g + 0 + 0*v - 1/60*v**5 + 0*v**3 - 20*v**2. Factor w(j).
-j*(j - 2)
Let i(k) be the second derivative of k**5/14 - 29*k**4/84 - 41*k**3/42 - 6*k**2/7 - 2053*k. Find o, given that i(o) = 0.
-3/5, -1/2, 4
Let t be (-20 + (-1358)/(-70))/(-9). Let s(l) be the third derivative of 0*l**3 + t*l**5 - 1/4*l**6 + 0 + 0*l + 1/12*l**4 + 18*l**2. Solve s(u) = 0.
-1/5, 0, 1/3
Let p(n) be the second derivative of -n**7/2940 - n**6/105 - 11*n**5/420 + 77*n**3/2 - 78*n + 1. Let t(h) be the second derivative of p(h). Factor t(a).
-2*a*(a + 1)*(a + 11)/7
Let m be 7/(-4)*8/28*-110. Factor -78 + 2*s + 39 + 24 + m - 2*s**2.
-2*(s - 5)*(s + 4)
Factor 300/7 + 36963/7*k**2 + 6660/7*k.
3*(111*k + 10)**2/7
Let m(o) be the third derivative of -o**5/180 + 5*o**4/18 - 14*o**3/3 + 6*o**2 - 3*o + 18. Solve m(h) = 0.
6, 14
Let b(l) = 1 - 6*l + 3 - 21*l**2 + 12*l**2 + 8*l**2. Let g be b(-5). Let 13 + 2*c + 3*c**2 - g*c - 11 = 0. Calculate c.
1/3, 2
Let l be 27/(14 - (594/36 - 13)). Let s be ((-65)/(-2))/(28/8). Factor -l - d**2 + s*d.
-(d - 9)*(7*d - 2)/7
Determine p, given that -203*p**2 - 201/2*p**3 + 1/2*p**4 + 0*p