*2 + 0 + 10/7*m**4 - 22/7*m**3 + d*m.
2*m**2*(m - 2)*(5*m - 1)/7
Let i be -3 + (-9)/(-2) - 667729/(-470). Let k = -1421 + i. Let 4/5*s - k - 2/15*s**2 = 0. Calculate s.
3
Let a(i) be the first derivative of -4/13*i**2 - 2/39*i**3 - 233 - 6/13*i. Solve a(o) = 0 for o.
-3, -1
Factor 2/9*m**2 - 98/9 + 0*m.
2*(m - 7)*(m + 7)/9
Let f(q) be the third derivative of -5/3*q**3 + 11*q**2 + 19/12*q**4 + 2/15*q**5 + 0 - 3*q. Factor f(k).
2*(k + 5)*(4*k - 1)
Suppose -4 = -l + 6 - 10. Let w(b) be the second derivative of -4*b**4 - b - 27/5*b**5 + l*b**2 + 8/3*b**3 + 0. Factor w(d).
-4*d*(3*d + 2)*(9*d - 2)
Suppose 2*u = 4*g - 7 - 3, -2*g = -3*u - 11. Let d be 6 + 3 + (3 + u - 6). Find a such that 4/7 + 2/7*a**d + 10/7*a + 8/7*a**2 = 0.
-2, -1
Factor 12/7*i - 495/7 + 3/7*i**2.
3*(i - 11)*(i + 15)/7
Suppose 473 = -w + 3*w + f + 472, 3*f = -15. Factor -80/7*h**2 - 48/7*h - 4/7*h**4 - 36/7*h**w + 0.
-4*h*(h + 1)*(h + 2)*(h + 6)/7
Let k(f) = -15*f - 15. Let p be k(15). Let m be p/6*2/(-5). Factor -4*x**3 + m*x - 6*x**2 - 26*x + 26*x - 8 + 2*x**4.
2*(x - 2)*(x - 1)**2*(x + 2)
Let h be (-6)/9 - (380/(-360) - ((-28)/(-36))/7). Find v, given that 1/3 - 1/6*v**4 - 1/6*v**2 - h*v + 1/2*v**3 = 0.
-1, 1, 2
Let g(y) be the third derivative of -y**6/60 - 17*y**5/30 - 21*y**4/4 + 27*y**3 + 4*y**2 - 23. Solve g(n) = 0 for n.
-9, 1
Let u = -14827/2 - -7416. Let y(k) be the second derivative of 0 - 26*k + 0*k**4 - 1/4*k**5 + 5*k**2 + u*k**3. What is i in y(i) = 0?
-1, 2
Suppose -59 + 95 = 3*x. Suppose 5*j = -54*v + 50*v + x, -2*v + 6 = 0. Factor 3/2*s**3 + 3/2*s**2 + j + 0*s.
3*s**2*(s + 1)/2
Let l = -11 - -16. Suppose -3*u = -k - 0*k + 23, -l*u = -2*k + 45. Let 8*c**2 - 4*c - 6*c**2 + 2*c**2 - k*c = 0. Calculate c.
0, 6
Factor 18*d**3 - 1584*d + 3872 + 1/2*d**4 + 74*d**2.
(d - 4)**2*(d + 22)**2/2
Let x(p) = -37*p**4 - 189*p**3 + 261*p**2 + 21*p + 8. Let f(t) = -t**4 + t**3 - 5*t**2 - 2*t - 1. Let z(c) = -24*f(c) - 3*x(c). Factor z(i).
3*i*(i - 1)*(i + 5)*(45*i + 1)
Let j = -576 + 612. Factor j + 5*s - 9*s + 14*s + 3*s**2 - 2*s + 16*s.
3*(s + 2)*(s + 6)
Let q(l) = l**2 + 12*l - 52. Let h be q(-21). Factor h*d + 4 - 151*d + 11*d**2 - 4*d**3 + 3*d**2.
-2*(d - 2)*(d - 1)*(2*d - 1)
Let k(d) be the first derivative of d**3/6 - 25*d**2 + 1250*d + 1245. Factor k(n).
(n - 50)**2/2
Let v(i) be the third derivative of -7*i**5/45 + i**4/72 + 6*i**2 - 10*i - 13. Factor v(y).
-y*(28*y - 1)/3
Let s = 12515055 - 48295596825/3859. Let c = 2/227 + s. Factor 2/17*u**2 + 0*u**3 + 0 + 0*u - c*u**4.
-2*u**2*(u - 1)*(u + 1)/17
Let u = 106393 + -531961/5. Solve -u*l - 8/5*l**2 + 4/5 = 0 for l.
-1, 1/2
Let x(n) be the third derivative of -n**8/10080 + n**7/504 - n**6/90 - 49*n**5/30 - 27*n**2 - 3*n. Let d(m) be the third derivative of x(m). Factor d(k).
-2*(k - 4)*(k - 1)
Let z = 11730437/638392 + 2/79799. What is o in -3/8*o**2 - z + 21/4*o = 0?
7
Let m(b) be the third derivative of b**9/5040 - 3*b**8/1120 + 3*b**7/280 - b**4/24 - 13*b**3 - 14*b**2. Let n(l) be the second derivative of m(l). Factor n(z).
3*z**2*(z - 3)**2
Let m = 150/11 + -245/22. Let u(k) be the third derivative of 0*k - 4*k**2 + 25/24*k**4 - 1/12*k**5 - 1/24*k**6 + 0 - m*k**3. Suppose u(o) = 0. Calculate o.
-3, 1
Factor 14*r**3 - 122 - 198 - 296*r - 2205*r**2 + 2157*r**2 + 2*r**4.
2*(r - 5)*(r + 2)**2*(r + 8)
Let t(j) be the first derivative of 1/4*j**4 - 1/2*j**6 + 0*j + 7/5*j**5 + 282 - 7/3*j**3 + j**2. Suppose t(f) = 0. What is f?
-1, 0, 1/3, 1, 2
Let j(o) = -3*o**2 - 158*o + 57. Let f(i) = 5*i**2 - 73*i - 165. Let q be f(16). Let t be j(q). Factor 4/5*m**3 - 4/5*m**2 + 6/5*m**t + 2/5*m**5 - 6/5*m - 2/5.
2*(m - 1)*(m + 1)**4/5
Factor 1098 + 15798 - 48080846*j**2 + 48080816*j**2 - 3*j**3 + 1344*j.
-3*(j - 22)*(j + 16)**2
Let c = 15/949 - 2520679/8541. Let h = c + 296. Factor 16/9*b**2 + h*b + 2/3*b**3 + 0.
2*b*(b + 2)*(3*b + 2)/9
Let p(j) = 7*j + 14. Let h be p(-2). Let k(s) be the second derivative of -5*s + h - 1/20*s**5 + 0*s**4 - 1/60*s**6 + 0*s**2 + 0*s**3. Factor k(m).
-m**3*(m + 2)/2
Let q be 378/(-18) - (-9313)/417. Let -12 + q*z**2 - 24*z + 24*z**3 + 32/3*z**4 = 0. What is z?
-3/2, -1, -3/4, 1
Let y(a) be the second derivative of 25*a**7/14 + 23*a**6/2 - 2547*a**5/20 + 1225*a**4/4 - 196*a**3 + 54*a**2 - 5*a - 41. Find j such that y(j) = 0.
-9, 1/5, 2
Solve 50 - 158 - 537*v**2 + 532*v**2 + 76*v - 112 - v = 0 for v.
4, 11
Suppose 0 = -5*q - 3*c - 9, -2*q - 3*c - 15 + 6 = 0. Let h = -163 + 165. Factor -1/4*p**3 + 0*p**h + p + q.
-p*(p - 2)*(p + 2)/4
Let p(n) be the first derivative of n**6/180 - n**5/90 + n**2 - 95*n - 110. Let b(o) be the second derivative of p(o). Find q such that b(q) = 0.
0, 1
Let q = 96629/7 - 13804. Let n(z) be the third derivative of -q*z**3 + 10*z**2 + 0 + 1/105*z**5 + 1/735*z**7 - 1/21*z**4 + 0*z + 1/105*z**6. Solve n(x) = 0.
-3, -1, 1
Let z = -3134/15 + 209. Let j(n) be the third derivative of -z*n**5 + 2/105*n**7 + 0*n**3 + 12*n**2 + 0*n**4 + 0*n**6 + 0 + 0*n. Factor j(m).
4*m**2*(m - 1)*(m + 1)
Let r = 307 + -308. Let p(s) = -2*s**3 - s - 1. Let y(x) = 3*x**4 + 23*x**3 + 27*x**2 - 80*x - 161. Let w(n) = r*y(n) - p(n). Factor w(t).
-3*(t - 2)*(t + 3)**3
What is w in 1/4*w**3 + 9/4*w**2 - 33/4 - 25/4*w = 0?
-11, -1, 3
Factor 867*w + 275*w + 75*w**2 - 77*w**2.
-2*w*(w - 571)
Let g = -673396 - -673400. Factor 0 - 9*r**2 - 1/5*r**g + 54/5*r + 12/5*r**3.
-r*(r - 6)*(r - 3)**2/5
Suppose -12 = 24*t - 26*t. Suppose -3*l + 16 = -b + t*b, 5*b - 3*l = 4. Factor -8 + 3*a + a - 3*a**b + 7*a**2.
4*(a - 1)*(a + 2)
Let c = -99 + 110. Suppose 3*t + c = 4*v, 5*t + 7 = 2*v - 2. Determine b so that -10*b + 2*b - 3*b**2 + b**2 + b**v = 0.
-8, 0
Let y(t) be the first derivative of 6/25*t**5 + 1/15*t**6 - 3/10*t**4 - 6/5*t**2 - 22/15*t**3 - 60 + 0*t. Solve y(s) = 0 for s.
-3, -1, 0, 2
Let f(q) = 6*q**2 + 9*q + 9. Suppose -8 - 1 = -3*m. Suppose -2*c + 32 = 24. Let p(t) = -7*t**2 - 8*t - 9. Let u(b) = c*f(b) + m*p(b). Factor u(s).
3*(s + 1)*(s + 3)
Let b = 159/7 + -311/14. Let n(y) be the second derivative of 14*y + 7/60*y**6 - 5/24*y**4 + 0 + 7/12*y**3 - b*y**2 - 1/8*y**5 - 1/42*y**7. Solve n(m) = 0.
-1, 1/2, 1, 2
Let l(j) be the first derivative of 2*j**3/15 + 178*j**2/5 + 354*j/5 - 495. Factor l(p).
2*(p + 1)*(p + 177)/5
Let y be (-26)/(-8) - 5/20. Suppose y*r - 11 = -5. Suppose -s**3 - 4*s**4 + 3*s - 2 - 4*s + 12*s**r - 4*s + 0*s**3 = 0. What is s?
-2, -1/4, 1
What is o in 33*o**2 + 1218*o**3 - 239*o**2 - 2*o**4 - 1324*o**3 - 102*o = 0?
-51, -1, 0
Let v(j) be the second derivative of 1369*j**4/108 - 74*j**3/27 + 2*j**2/9 + 39*j + 15. Solve v(a) = 0.
2/37
Let k = 290 + -328. Let j be -3 - (-1518)/342 - (-4)/k. Factor j*s + 2/21*s**2 + 14/3.
2*(s + 7)**2/21
Let v(y) = 2*y**2 + 4*y. Let w(g) = -g**3 - 30*g**2 - 17*g. Let b(c) = 6*v(c) - w(c). Factor b(f).
f*(f + 1)*(f + 41)
Let v(z) be the second derivative of z**5/2 + 29*z**4 + 576*z**3 + 3584*z**2 - 9*z - 122. Factor v(s).
2*(s + 16)**2*(5*s + 14)
Let u(k) = k**2 - 3*k + 14. Let y = -67 + 62. Let v(x) = 3*x**2 - 7*x + 29. Let z(w) = y*u(w) + 2*v(w). Solve z(f) = 0.
-4, 3
Suppose 35 = l - 2*h, 2*l = -2*l - 5*h + 127. Let w = 35 - l. Let -3*p**5 - 2 + 2*p**3 + p**5 + w = 0. What is p?
-1, 0, 1
Let x(t) be the second derivative of t**6/15 + 151*t**5/10 + 1925*t**4/2 + 1875*t**3 + 7*t - 218. Factor x(l).
2*l*(l + 1)*(l + 75)**2
Let y(l) be the third derivative of -l**5/180 - 35*l**4/24 + 37*l**3 - 89*l**2 + 9*l. Factor y(c).
-(c - 6)*(c + 111)/3
Let u be (-2)/3*(12 + -6). Let a(r) = -8*r**3 + 12*r**2 + 20*r. Let b(s) = 7*s**3 - 11*s**2 - 18*s. Let w(j) = u*b(j) - 3*a(j). Factor w(v).
-4*v*(v - 3)*(v + 1)
Let o(z) be the third derivative of z**7/1680 + 181*z**6/960 + 37*z**5/20 + 353*z**4/48 + 44*z**3/3 + 2142*z**2. Factor o(h).
(h + 1)*(h + 2)**2*(h + 176)/8
Factor -66/5*d - 28 + 2/5*d**2.
2*(d - 35)*(d + 2)/5
Suppose 8 = -2*x, 5*w = -8*x + 4*x + 9. Let a(l) = 7*l**2 + 9*l - 11. Let t(r) = -11*r**2 - 14*r + 17. Let z(c) = w*t(c) + 8*a(c). Factor z(v).
(v - 1)*(v + 3)
Let w(r) be the first derivative of -r**5/10 - 199*r**4/8 + r**3/6 + 199*r**2/4 - 14026. Factor w(j).
-j*(j - 1)*(j + 1)*(j + 199)/2
Determine t, given that 0 - 53*t**3 + 3/4*t**5 - 79*t**4 + 0*t + 0*t**2 = 0.
-2/3, 0, 106
Solve -708*t**4 + 771*t**4 - 1370*t**3 + 111*t**5 + 623*t**2 - 280*t + 572*t**2 