59)*(i - 21)/7
Let j(l) be the second derivative of l**5/10 + 39*l**4 + 4403*l**3 - 56644*l**2 + 297*l - 5. Factor j(d).
2*(d - 4)*(d + 119)**2
Let z(b) be the first derivative of -1/70*b**5 + 0*b**2 + 1/1260*b**6 + 5/3*b**3 + 5/84*b**4 + 15 + 0*b. Let n(a) be the third derivative of z(a). Factor n(g).
2*(g - 5)*(g - 1)/7
Let q(x) be the first derivative of x**3/27 + 98*x**2/3 + 9604*x + 1256. Let q(u) = 0. What is u?
-294
Find m, given that 3/5*m**5 + 4*m**2 + 28/5*m**4 - 48/5 + 92/5*m - 19*m**3 = 0.
-12, -1, 2/3, 1, 2
Let h(l) be the first derivative of -1/20*l**4 + 1/25*l**5 + 13/10*l**2 - 49 - 6/5*l - 7/15*l**3. Factor h(d).
(d - 2)*(d - 1)**2*(d + 3)/5
Let f(x) be the first derivative of -x**8/1680 + x**6/180 - x**4/24 - 35*x**3/3 + 69. Let y(c) be the third derivative of f(c). Factor y(d).
-(d - 1)**2*(d + 1)**2
Let q(y) = -5680*y**2 + 6210*y - 1805. Let r(g) = 2*g**2 - 5*g. Let w(f) = q(f) - 50*r(f). Factor w(m).
-5*(34*m - 19)**2
Let y(z) be the second derivative of -12*z + 0 + 1/720*z**5 + 0*z**2 + 0*z**4 - 5/3*z**3 + 1/2160*z**6. Let g(w) be the second derivative of y(w). Factor g(p).
p*(p + 1)/6
Let y(g) be the first derivative of -2/9*g**3 + 118/3*g + 58/3*g**2 + 318. Factor y(k).
-2*(k - 59)*(k + 1)/3
Let s(l) = -12*l**4 - 7*l**3 + 44*l**2 + 65*l - 15. Let n(p) = -2*p**4 - p**3 - 3*p - 3. Let m(h) = -5*n(h) + s(h). Factor m(b).
-2*b*(b - 5)*(b + 2)*(b + 4)
Find w, given that 1 - 12*w**2 - 15*w**3 + 3150*w**4 - 4 - 3153*w**4 + 3 = 0.
-4, -1, 0
Let j = 3111/2 + -1555. Let a(t) be the second derivative of j*t**2 + 7/9*t**3 - 1/15*t**5 + 7/36*t**4 + 0 + 18*t. Determine n so that a(n) = 0.
-1, -1/4, 3
Let q be -3 - 456/(-160) - (-36)/240. Let -51/7*v**2 + q + 0*v + 3/7*v**3 = 0. What is v?
0, 17
Let r(m) be the third derivative of m**8/1344 - m**6/240 + m**4/96 - 6*m**2 - 125*m. Factor r(f).
f*(f - 1)**2*(f + 1)**2/4
Let u = 17716 + -17716. Suppose k = r, 0 = -r + 4*r - 5*k + 4. Factor u*y + 5/2 - 5/2*y**r.
-5*(y - 1)*(y + 1)/2
Suppose -35*a + 99*a = -251*a + 630. Factor -3/2 - 15/8*s - 3/8*s**a.
-3*(s + 1)*(s + 4)/8
Let k(n) = -13*n**5 + 311*n**4 + 171*n**3 - 957*n**2 + 232*n + 250. Let t(u) = -u**5 - u**4 + 4*u + 1. Let w(v) = -k(v) - 2*t(v). What is d in w(d) = 0?
-2, -2/5, 1, 21
Let n(c) = 2*c**4 + 8*c**3 - 222*c**2 + 268*c - 104. Let f(b) = -2*b**4 - 13*b**3 + 221*b**2 - 269*b + 105. Let s(g) = -8*f(g) - 7*n(g). Factor s(i).
2*(i - 2)*(i - 1)**2*(i + 28)
Let h be 12/14 + (1 - 1). Let f be ((-19)/(-21))/(12046/3804). Factor -2/7*i**3 + f*i**4 + 2/7*i + 4/7 - h*i**2.
2*(i - 2)*(i - 1)*(i + 1)**2/7
Let s(l) be the third derivative of -l**5/8 - 247*l**4/4 + 99*l**3 + 2*l**2 - 7*l + 3. Factor s(v).
-3*(v + 198)*(5*v - 2)/2
Let h = 8261 + -8261. Let j(r) be the second derivative of 25/18*r**4 + 0 + 2/3*r**3 + 5*r - 7/45*r**6 + 2/5*r**5 + h*r**2. Suppose j(v) = 0. Calculate v.
-1, -2/7, 0, 3
Let r = -31 + 12. Let h = r + 22. Suppose -3*z - 3 + 2*z**2 - h*z**3 + 4*z**2 + 3 = 0. Calculate z.
0, 1
Let b(x) = 2*x**2 - x. Let c(m) = 5*m**4 - 65*m**3 + 242*m**2 - 156*m - 480. Let w = -237 + 238. Let u(g) = w*c(g) + 4*b(g). Solve u(t) = 0.
-1, 4, 6
Let p be (-2)/5*1955/(-34) - 0. Let n(m) = m**3 - 22*m**2 - 16*m - 57. Let h be n(p). Find l, given that -2*l**2 - 491 + h - 63 + 60*l = 0.
15
Suppose -3*y + 37 = 5*a, -4*y - 4*a = 9 - 45. Solve 96 - 16*k**y - k**4 - k**4 + 144*k - 24*k**3 - 3*k**5 - 53*k**2 + 101*k**2 = 0.
-2, 2
Let x(h) be the second derivative of -107*h + 1/6*h**4 + 0*h**2 - 1 + 17/3*h**3. Factor x(k).
2*k*(k + 17)
Suppose -k - 120 = -6*k. Suppose 6*i - 6 = k. Factor 1/6*x**i + 1/3*x**2 + 0*x + 0 + 2/3*x**4 + 5/6*x**3.
x**2*(x + 1)**2*(x + 2)/6
Let z = -405 + 578. Let f = 176 - z. Factor 2*o**2 - 4/5*o**f - 8/5*o + 2/5.
-2*(o - 1)**2*(2*o - 1)/5
Factor -710*q**2 + 4*q**3 + 1401*q**2 - 3*q**3 - 734*q**2 - 46*q + 88.
(q - 44)*(q - 1)*(q + 2)
Let c be (-415)/(-5) + 0*4/(-12). Let z be (74 - c) + 130/14. Factor 0 + 0*v - z*v**2.
-2*v**2/7
Let f be 5*(-8)/(-20) + (-24)/2. Let a(g) = -g**2 - 10*g + 8. Let z be a(f). Factor 40 - 15 + 75 + 4*o**2 - z*o - 32*o.
4*(o - 5)**2
Let f(j) = -385*j**2 + 5405*j - 40. Let z(s) = -29*s**2 + 416*s - 3. Let y(n) = 3*f(n) - 40*z(n). Factor y(r).
5*r*(r - 85)
Factor -87362 - 418*j - 1/2*j**2.
-(j + 418)**2/2
Let v(g) = 15*g**2 + 553*g + 7. Let t(q) = -20*q**2 - 736*q - 9. Let h(l) = 7*t(l) + 9*v(l). Determine w, given that h(w) = 0.
-35, 0
Find k, given that -21*k**3 + 1010*k - 627*k - 1764 + 205*k + 9*k**2 + 18*k**3 = 0.
-14, 3, 14
Let c(l) be the third derivative of -l**6/180 + 4*l**5/9 - 197*l**4/36 - 238*l**3/9 - 1521*l**2. Factor c(y).
-2*(y - 34)*(y - 7)*(y + 1)/3
Suppose 4*d = 3*c - 6, 0 = -5*c + c - d + 8. Let i = 85 + -67. Solve -2*t**2 - 4*t**3 - 12*t - 22*t**2 - i*t**2 + 26*t**c = 0 for t.
-3, -1, 0
Let k(r) = -r**3 + 78*r**2 - 760*r + 66284. Let n be k(79). Factor 0 - n*x + 3/5*x**4 - 27/5*x**2 - 9/5*x**3.
3*x*(x - 5)*(x + 1)**2/5
Let l(f) be the first derivative of f**3/5 - 399*f**2/10 - 1644*f/5 - 3334. Find g, given that l(g) = 0.
-4, 137
Suppose 25 = -5*t, 3*x - 5*t + 6*t = -11. Let u be (-5 + -3 + (-55)/(-7))*x. Factor 2/7*b**4 - 2/7*b**5 - u*b + 4/7*b**3 + 2/7 - 4/7*b**2.
-2*(b - 1)**3*(b + 1)**2/7
Let s(g) be the second derivative of g**6/10 + 21*g**5/10 - 5*g**4 - 39*g**3 - 135*g**2/2 + 2*g + 1280. Factor s(j).
3*(j - 3)*(j + 1)**2*(j + 15)
Let n(x) be the second derivative of x**5/40 + 29*x**4/24 - 31*x**3/6 + 2369*x. Factor n(p).
p*(p - 2)*(p + 31)/2
Determine y so that 2286777*y**3 - 2290242*y**3 + 2*y - 2*y - 3*y**5 - 201*y**4 - 3267*y**2 = 0.
-33, -1, 0
Suppose 92 + 52 = 48*o. Let d = -1/37 - -44/259. Factor d*n**o + 0 + 2/7*n**2 + 1/7*n.
n*(n + 1)**2/7
Let z be (30/42 - -4) + (-2)/(-7). Let m(b) be the second derivative of 5/18*b**4 - 1/3*b**2 - 8/27*b**3 - 2/45*b**z + 0 + 29*b. Factor m(u).
-2*(u - 3)*(u - 1)*(4*u + 1)/9
Let k = 38/2133 + 2162596/14931. Factor -6/7*h**2 - k + 156/7*h.
-6*(h - 13)**2/7
Let t(c) be the third derivative of -1/3*c**4 + 1/120*c**6 - c**2 + 2/3*c**3 - 1/168*c**7 + 1/1344*c**8 + 1/15*c**5 - 80*c + 0. Factor t(w).
(w - 2)**3*(w - 1)*(w + 2)/4
Let t(u) be the first derivative of 2/21*u**4 + 17 - 1/630*u**6 + 0*u**2 - 5/3*u**3 + 0*u - 1/70*u**5. Let a(b) be the third derivative of t(b). Factor a(g).
-4*(g - 1)*(g + 4)/7
Suppose -7*d + 16730 = 16695. Let x(o) be the second derivative of -11/18*o**4 + 1/63*o**7 + 1/15*o**6 - 7*o - 4/3*o**3 - 4/3*o**2 + 0 - 1/30*o**d. Factor x(t).
2*(t - 2)*(t + 1)**3*(t + 2)/3
Let m(d) = d**3 + d + 7. Let s(z) = -2*z**3 + 6*z**2 - 4*z - 28. Let g(v) = -4*m(v) - s(v). Factor g(x).
-2*x**2*(x + 3)
Let p(t) be the first derivative of t**3/6 - 107*t**2/4 + 53*t + 353. Determine h, given that p(h) = 0.
1, 106
Suppose 20*z - 22*z + 2*r - 28 = 0, -4*z - 5*r = -88. Suppose -2/7*a**3 + 62/7*a + 0*a**z - 60/7 = 0. What is a?
-6, 1, 5
Let a = 61615 + -554515/9. Factor -20/9*y**3 + 2/9*y**4 + a*y - 50/9 + 16/3*y**2.
2*(y - 5)**2*(y - 1)*(y + 1)/9
Let q(t) = -3*t**2 - 2203*t + 8. Let u(p) = -p**2 + 4*p - 4. Let i(y) = q(y) + 2*u(y). Factor i(s).
-5*s*(s + 439)
Let u(l) be the third derivative of -l**6/15 + 197*l**5/30 + 151*l**4/12 - 50*l**3/3 + 1026*l**2. Factor u(t).
-2*(t - 50)*(t + 1)*(4*t - 1)
Let u(n) = -2*n + 47. Let m(o) = o**2 - 595*o - 939. Let i(s) = m(s) - 5*u(s). Factor i(p).
(p - 587)*(p + 2)
Let l(t) = -18*t**3 + 207*t**2 + 45*t + 758. Let i be l(12). Let 1/11*k**3 + 17/11*k**i + 0 + 0*k = 0. Calculate k.
-17, 0
Let i(j) be the first derivative of j**5/20 - 11*j**4/12 + 19*j**3/6 - 9*j**2/2 + 33*j + 94. Let o(b) be the first derivative of i(b). Factor o(k).
(k - 9)*(k - 1)**2
Suppose 274 = -10*i - 566. Let o be (-16)/i*3 - 6/42. Factor o + 1/7*p**2 - 4/7*p.
(p - 3)*(p - 1)/7
Suppose 2*v - 5*k + k = 12, 0 = -5*v + 5*k + 25. Find d, given that d**3 + d**4 + d**2 - 2*d + 59 - 3*d - 61 - v*d**2 = 0.
-1, 2
Let v(p) be the second derivative of -p**5/130 + 7*p**4/39 - 11*p**3/39 - 2*p**2 + 3076*p. Determine d so that v(d) = 0.
-1, 2, 13
Let b(f) be the second derivative of -f**8/3360 - f**7/315 - f**4/12 - f**3 - 50*f. Let a(l) be the third derivative of b(l). What is x in a(x) = 0?
-4, 0
Let o(n) = n**3 + 10*n**2 + 24*n + 15. Let m(k) = k + 1. Let y be -1*(4 - 5)*-5. Let v(i) = y*m(i) - o(i). Factor v(u).
-(u + 1)*(u + 4