. Let a(k) be the third derivative of s(k). Factor a(q).
-2*q**2/15
Let r(f) be the third derivative of -f**7/105 + 11*f**6/30 - 51*f**5/10 + 68*f**4/3 + 448*f**3/3 - 781*f**2 - 2. Factor r(v).
-2*(v - 8)**2*(v - 7)*(v + 1)
Let g(c) = c - 190*c**2 + c**3 + 191*c**2 - 5 + 4 + 0. Let u(w) = -4*w**3 - 13*w**2 - 31*w - 21. Let i(t) = -12*g(t) - 4*u(t). Factor i(k).
4*(k + 2)**2*(k + 6)
Let n = 243/664 - -2769/3320. Let 3/5*v**5 - 3*v + 12/5*v**4 - 6/5 - n*v**2 + 12/5*v**3 = 0. What is v?
-2, -1, 1
Let h(t) be the second derivative of t**5/12 + 2395*t**4/12 + 1147205*t**3/6 + 549511195*t**2/6 - 1104*t. Factor h(x).
5*(x + 479)**3/3
Let v(t) be the first derivative of 22*t**2 + 24/5*t**5 + 48 + 16*t**3 - 23*t**4 - 24*t. Determine m so that v(m) = 0.
-2/3, 1/2, 1, 3
Let r = -39/2 + 20. Let x be 2 + (3 - 0)*-1 + (-30)/(-24). Factor -3/4*i - x*i**2 - r.
-(i + 1)*(i + 2)/4
Suppose 18 = 4*n + 3*m, 5*n + m = 6*n - 1. Suppose 2*h - 20 = 3*i, -n*h - 2*i - 8 = -64. What is z in -h - 1/4*z**2 - 4*z = 0?
-8
Suppose 12*k + 24 = 8*k. Let d(f) = -8*f**2 + 4*f + 4. Let v = -15 - -10. Let r(c) = 9*c**2 - 4*c - 4. Let q(w) = k*d(w) + v*r(w). Factor q(m).
(m - 2)*(3*m + 2)
Let p(k) be the third derivative of -1/300*k**5 + 1/3*k**3 + 0*k + 1/40*k**4 + 3 + 12*k**2. Determine x, given that p(x) = 0.
-2, 5
Let a(u) = 62*u + 378. Let d(y) = -y**2 + 298*y + 1889. Let r(m) = -11*a(m) + 2*d(m). Factor r(v).
-2*(v + 5)*(v + 38)
Find l such that -16 - 4*l**2 + 52/3*l + 1/3*l**4 - l**3 = 0.
-4, 2, 3
Factor -956/7*g - 2/7*g**2 - 954/7.
-2*(g + 1)*(g + 477)/7
Factor 151/5*j**3 + 26500*j - 25000 - 1/5*j**4 - 1530*j**2.
-(j - 50)**3*(j - 1)/5
Factor -297754000/9 - 3182/9*h**3 - 187620*h**2 - 299439400/9*h - 2/9*h**4.
-2*(h + 1)*(h + 530)**3/9
Let i be (24/(-20))/((-15)/50). Let n(q) = -2*q**3 + 12*q**2 - 17*q + 4. Let r be n(i). Factor -3*h**3 + r*h + 3/4*h**2 + 15/4*h**4 + 0 - 3/2*h**5.
-3*h**2*(h - 1)**2*(2*h - 1)/4
Suppose 28 - 78 = 3*x - 5*d, -4*x - 80 = -8*d. Find p such that x + 2*p**4 + 13/4*p**3 + 1/2*p**2 - 3/4*p = 0.
-1, 0, 3/8
Suppose -4*b - 7*z - 2 = 0, b + 627*z - 631*z - 11 = 0. Factor -9/2*p**4 + 3/4*p**5 + 0 + 0*p + 27/4*p**b - 3*p**2.
3*p**2*(p - 4)*(p - 1)**2/4
Let x(k) be the third derivative of 5*k**5/3 - 155*k**4/3 + 1922*k**3/3 - 59*k**2 - 12*k. Factor x(a).
4*(5*a - 31)**2
Let f be 2 + 3 + -2 - (-9 - -7). Let a(o) = 6*o - 10. Let l be a(f). Factor 4*x**2 - 8*x**4 + l*x**5 - 18*x**5 - 8*x**2 + 10*x**3.
2*x**2*(x - 2)*(x - 1)**2
Let d(z) be the third derivative of z**7/4200 + 7*z**6/1200 + z**5/20 + 7*z**4/24 + 64*z**2. Let x(b) be the second derivative of d(b). Factor x(r).
3*(r + 2)*(r + 5)/5
Suppose 5*x + 1 = -4*l, 0 = 43*l - 47*l + 2*x + 34. Factor -1/5*s**4 + 21/10*s**3 + 5/2*s + 0 - l*s**2.
-s*(s - 5)**2*(2*s - 1)/10
Let u(v) = 2*v**3 + 18*v**2 - 7*v - 63. Let n be u(-9). Let 2*z**3 + 2/3*z**2 - 25/6*z**4 + 0*z + 3/2*z**5 + n = 0. What is z?
-2/9, 0, 1, 2
Let g be ((-2675)/(-75) + -45)*(-2)/14. Suppose -g*p**3 + 2*p**5 + 26/3*p**4 + 6 - 76/3*p**2 + 10*p = 0. Calculate p.
-3, -1/3, 1
Let p(m) be the third derivative of 20*m**4 + 480*m**3 - 11/3*m**5 - 2*m**2 + 1/42*m**7 + 0*m - 4 - 1/6*m**6. Factor p(d).
5*(d - 6)**2*(d + 4)**2
Let n = -491/24430 + 12/349. Let t(w) be the third derivative of n*w**6 - 1/20*w**5 - 27*w**2 - 4/7*w**3 - 17/28*w**4 + 0*w + 0. Suppose t(h) = 0. What is h?
-2, -1/4, 4
Suppose 5*k + 48 = 4*h, -7 = -2*h + 4*k + 23. Let z be (h + -2 - 5)/1. Let z - 2/13*y**2 + 8/13*y = 0. What is y?
0, 4
Let n(q) = -22*q**2 - 362*q - 3280. Let s(z) = -53*z**2 - 721*z - 6560. Let v(k) = -5*n(k) + 2*s(k). Solve v(g) = 0 for g.
-82, -10
Let a(j) = -j**2 + j. Let g(w) = 6*w + 21. Let b(y) = -2*a(y) - g(y). Let d be b(6). Factor -46*t - 8 + 2*t**2 + 4*t**5 + 58*t - 16*t**d + 6*t**2 + 0.
4*(t - 1)**3*(t + 1)*(t + 2)
Let y(q) be the second derivative of 1/3*q**3 - 4/15*q**6 + 1/21*q**7 - 4*q**2 - 5*q - 1/5*q**5 + 4/3*q**4 - 1. Determine w, given that y(w) = 0.
-1, 1, 4
Let 34/7*p**4 - 300/7*p + 470/7*p**2 - 202/7*p**3 - 2/7*p**5 + 0 = 0. What is p?
0, 1, 5, 6
Let s(q) be the first derivative of q**7/280 - q**6/12 - 37*q**5/40 - 13*q**4/4 - 185*q**3/3 + 122. Let p(h) be the third derivative of s(h). Factor p(z).
3*(z - 13)*(z + 1)*(z + 2)
Let g = 114 - 338/3. Let j be ((-225)/(-120))/(27/72). Factor -4/3*t**2 - g*t**3 + 2/3 + 2/3*t**4 + 2/3*t + 2/3*t**j.
2*(t - 1)**2*(t + 1)**3/3
Let u(h) be the second derivative of 2*h**7/945 + h**6/54 - 2*h**5/45 - 65*h**2 - 3*h - 16. Let w(i) be the first derivative of u(i). Factor w(t).
4*t**2*(t - 1)*(t + 6)/9
Let -66 - 447/4*w**2 - 1/4*w**4 + 619/4*w + 93/4*w**3 = 0. What is w?
1, 3, 88
Let j = 4476 + -4476. Let w(r) be the third derivative of j*r + 0*r**3 + 0 + 1/8*r**4 + 11*r**2 + 1/10*r**5 + 1/40*r**6. Factor w(v).
3*v*(v + 1)**2
Let z(p) be the first derivative of -p**4/30 + 56*p**3/45 - 91*p**2/15 - 16*p - 5434. Factor z(x).
-2*(x - 24)*(x - 5)*(x + 1)/15
Let j be 7/((-42)/6)*-2. Determine i so that 12*i**j - 9*i**2 + 11*i - 2*i = 0.
-3, 0
Let b(k) be the second derivative of -2*k**3/3 + 6*k**2 + 13*k. Let x be b(-5). Factor -2*z**2 + 32*z - x*z - 2*z**3.
-2*z**2*(z + 1)
Factor 249*v + 1 + 135*v**2 - 133*v**2 + 101*v - 1.
2*v*(v + 175)
Let k be (-20)/40*337/(-38) - 5. Let o = -6/19 - k. Factor 0 - 1/4*l + o*l**3 - 1/4*l**2 + 1/4*l**4.
l*(l - 1)*(l + 1)**2/4
Let v = 76 - 72. Let s be (6/v)/(5/10). Let -9*i**3 + 10*i**4 - 2*i**s + 5*i**3 + i**2 - 5*i**2 = 0. What is i?
-2/5, 0, 1
Let b(n) be the third derivative of n**6/60 + 7*n**5/30 - n**4/12 - 7*n**3/3 + 237*n**2. Factor b(a).
2*(a - 1)*(a + 1)*(a + 7)
Let u = 4767 - 4767. Let b(z) be the third derivative of 1/80*z**5 + 0*z + 0 + 1/16*z**4 + 19*z**2 + u*z**3. Factor b(a).
3*a*(a + 2)/4
Let a(j) = 6*j**2 + 16*j + 26. Suppose -2*c + 12 = 2*q, -20*q = 5*c - 16*q - 25. Let i(m) = m**2 - m + 2. Let u(x) = c*a(x) - 4*i(x). Factor u(d).
2*(d + 1)*(d + 9)
Let a(h) be the first derivative of -1/11*h**4 + 0*h + 1/330*h**5 + 6*h**2 + 36 - 13/33*h**3. Let u(v) be the second derivative of a(v). Solve u(w) = 0.
-1, 13
Let x = -6639 + 1208295/182. Let v = x + 1465/546. Let 0 - v*n**2 + 7/3*n + 8/3*n**4 - 1/3*n**5 - 2*n**3 = 0. What is n?
-1, 0, 1, 7
Let p be (-2 + (-8)/(-5))/((-26)/(-4)*(-1282)/92945). Solve -p*r**2 + 2/13*r**3 - 392/13 + 448/13*r = 0.
1, 14
Factor 27*r**3 + 15*r**3 - 2*r**4 - 51*r**3 - 8*r + 15*r**3.
-2*r*(r - 2)**2*(r + 1)
Let l(u) = 20*u**2 - 860*u + 1660. Let i(t) = -9*t**2 + 429*t - 830. Let r(w) = -5*i(w) - 2*l(w). Factor r(m).
5*(m - 83)*(m - 2)
Let t(z) be the first derivative of -2*z**3/3 + 43*z**2 + 376*z + 7685. Find h such that t(h) = 0.
-4, 47
Let p(g) be the third derivative of -g**7/490 - 27*g**6/70 + 11*g**5/7 + 2629*g**2. Factor p(m).
-3*m**2*(m - 2)*(m + 110)/7
Let x(w) be the third derivative of -w**8/224 + 87*w**7/70 - 7569*w**6/80 - 2*w**2 + 4*w - 39. Factor x(a).
-3*a**3*(a - 87)**2/2
Let z = -10377 - -16083. Find b such that 278*b**2 + 6391*b + z*b + 2186*b + 3*b**3 + 159*b**2 - 23*b**2 = 0.
-69, 0
Let i(g) be the first derivative of -g**5/25 - 37*g**4/10 - 71*g**3/15 + 73*g**2/5 - 109. Factor i(o).
-o*(o - 1)*(o + 2)*(o + 73)/5
Let x(o) be the second derivative of o + 176/3*o**3 + 14/15*o**6 + 64*o**2 + 73/10*o**5 + 1/21*o**7 - 9 + 86/3*o**4. Factor x(u).
2*(u + 1)**2*(u + 4)**3
Let c(m) be the first derivative of -m**6/18 - 58*m**5/15 - 90*m**4 - 5600*m**3/9 + 8000*m**2/3 - 3691. Solve c(g) = 0.
-20, 0, 2
Let d(z) = 2*z**3 + 37*z**2 + 20*z + 39. Let n be d(-18). What is l in 0*l - 8*l - 3*l**n + 31*l**2 - 17*l**2 = 0?
0, 2/3, 4
Find t such that -4*t**2 + 0*t + 0 + 1/3*t**4 - 8/3*t**3 + 1/3*t**5 = 0.
-2, 0, 3
Suppose 0 = k - 1, k = -5*v + 5*k - 194. Let c(l) = -l**2 - 41*l - 112. Let r be c(v). Solve 2/7*i**5 + 0*i**4 + 0 - 2/7*i**3 + 0*i + 0*i**r = 0 for i.
-1, 0, 1
Let t be (28/35)/(2/5) + 101. Suppose 0 = -t*l + 89*l + 28. Factor -8*h**l + 0 - 4/3*h**3 + 8/3*h**4 + 6*h + 2/3*h**5.
2*h*(h - 1)**2*(h + 3)**2/3
Let o(x) be the first derivative of -x**5/510 + x**4/34 + 16*x**3/51 + 223*x**2/2 - 133. Let u(j) be the second derivative of o(j). Factor u(t).
-2*(t - 8)*(t + 2)/17
Factor 1/4*k**2 - 15/2 + 1/4*k.
(k - 5)*(k + 6)/4
Let t = 469/6 - 78. Let z be (-20)/45*12/(-16). Suppose -1/6 - t*x**2 - z*x = 0. Calculate x.
-1
Let j(t) = 3