ermine r so that 32/5*r + 0 + 88/5*r**2 - 14/5*r**5 + 48/5*r**3 - 22/5*r**4 = 0.
-2, -1, -4/7, 0, 2
Let t(a) be the first derivative of -3*a**5/25 + 3*a**4 - 109*a**3/5 + 243*a**2/5 - 216*a/5 + 4926. Determine b, given that t(b) = 0.
1, 6, 12
Let i(q) be the first derivative of 10*q**5 + 1235*q**4 + 119018*q**3/3 - 74100*q**2 + 45000*q - 317. Factor i(g).
2*(g + 50)**2*(5*g - 3)**2
Let m be ((-39)/21)/(50/(-2275)). Let f = -1167/14 + m. Factor 0 + f*s**2 + 4/7*s**3 - 12/7*s.
4*s*(s - 1)*(s + 3)/7
Factor 25/3 + 14/3*l**2 - 1/6*l**3 - 77/6*l.
-(l - 25)*(l - 2)*(l - 1)/6
Let l(i) be the first derivative of 2*i**3/3 - 20*i**2 + 168*i + 453. Factor l(f).
2*(f - 14)*(f - 6)
Let q(c) = 250*c - 727. Let v be q(3). Let f(g) be the second derivative of 0*g**2 - v*g + 1/2*g**3 + 0*g**4 + 0 - 3/20*g**5. Solve f(w) = 0 for w.
-1, 0, 1
Let b(g) be the first derivative of g**3/9 - 2*g**2/3 + g + 1305. Suppose b(c) = 0. Calculate c.
1, 3
Let j be (-12 - 4)/(-11 - -4 - -5). Determine k, given that k**4 - j*k - 4*k**4 - 7*k**2 + 4*k**4 + 3*k**2 + 2*k**3 = 0.
-2, 0, 2
Let q(s) be the first derivative of -1/15*s**5 + 1/3*s**4 + 0*s - 1/3*s**3 + 0*s**2 + 18. Factor q(a).
-a**2*(a - 3)*(a - 1)/3
Let r(a) be the first derivative of -a**4/78 + 2*a**3/13 + 29*a + 13. Let y(q) be the first derivative of r(q). Factor y(c).
-2*c*(c - 6)/13
Factor -15*m**4 - 216*m**3 + 3*m**4 - 4752*m**2 - 12*m**3 - 15552*m + 9*m**4.
-3*m*(m + 4)*(m + 36)**2
Find a, given that -1132 - 287*a**2 - 57*a**3 - 35746*a + 36882*a + 58*a**3 = 0.
2, 283
Let p(w) be the first derivative of -w**6/6 - 13*w**5/5 - 47*w**4/4 - 23*w**3/3 + 24*w**2 + 36*w + 2566. Factor p(n).
-(n - 1)*(n + 1)**2*(n + 6)**2
Let f = 58951 - 58949. Solve 3*u + 1/3*u**3 - f*u**2 + 0 = 0.
0, 3
Suppose -3*y - 1 = 2*n - 10, 0 = 4*y - 4. Suppose 35*l**n + 6*l - 15*l**4 + 5*l - 31*l = 0. Calculate l.
-2/3, 0, 1, 2
Let h(n) = 57*n**3 + 227*n**2 - 7*n - 10. Let t be h(-4). Factor 0 + 7/4*j**4 - 11*j**3 - 4*j + 17*j**t.
j*(j - 4)*(j - 2)*(7*j - 2)/4
Let s(d) be the second derivative of -d**4/18 + 38*d**3/9 - 55*d**2 - 1002*d. Factor s(f).
-2*(f - 33)*(f - 5)/3
Let i(t) be the second derivative of t**7/504 + t**6/144 - t**5/12 - t**4/4 - 112*t. Let u(n) be the third derivative of i(n). Factor u(f).
5*(f - 1)*(f + 2)
Let g(q) be the third derivative of q**5/20 + q**4/2 + q**3/3 + 26*q**2. Let p be g(-4). Find u, given that 18*u**2 - 8*u**p - 5*u**2 + 24*u - 104*u + 320 = 0.
8
Suppose -3*d = -12 + 6. Let b(h) = -29*h - 4*h**d + h**2 + 32*h. Let v(k) = 15*k**2 - 16*k + 1. Let c(q) = 22*b(q) + 4*v(q). Solve c(w) = 0.
-2/3, 1
Factor -36*i + 3/4*i**2 + 0.
3*i*(i - 48)/4
Let w(i) be the third derivative of 80/3*i**3 - 10/3*i**4 + 1/3*i**6 - 5/336*i**8 - 4/3*i**5 + 11*i - i**2 + 1/21*i**7 + 0. Factor w(s).
-5*(s - 2)**3*(s + 2)**2
Find b, given that 606/7*b**2 - 220/7 + 614/7*b + 2*b**4 - 214/7*b**3 = 0.
-1, 2/7, 5, 11
Let s(r) = 2*r**2 - 2*r + 1. Let l(c) be the second derivative of 13*c**4/12 - 31*c**3/6 + 12*c**2 - c - 53. Let x(k) = -l(k) + 6*s(k). What is u in x(u) = 0?
1, 18
Factor 0 + 3/5*m**2 + 27/5*m.
3*m*(m + 9)/5
Let m be (0/(-2) - 1)/(1/(-155)). Let -m*u + 3*u**2 + 7*u**2 + 290 + 0*u**2 - 3*u**2 - 2*u**2 = 0. Calculate u.
2, 29
Let -7670*y + 5*y**4 + 2706*y**3 - 3021*y**3 - 13355*y + 3 - 3 + 5655*y**2 = 0. Calculate y.
0, 5, 29
Let l be 3 + (-144)/21 - (14 + (12 - 31)). Factor -66/7*y**2 - l*y**3 - 2 - 72/7*y.
-2*(y + 1)*(y + 7)*(4*y + 1)/7
Let i = -22 - -24. Suppose -22 = -3*y - a, -4 = -i*y - 2*a + 16. Factor -2*r**4 + 2*r**2 + 3*r**5 + r**3 + 4*r**5 - y*r**5 - 2*r**3.
r**2*(r - 2)*(r - 1)*(r + 1)
Let v(b) = -4*b**2 - 634*b + 2602. Let t be v(4). Factor 2/7*j**t - 20/7 + 6/7*j.
2*(j - 2)*(j + 5)/7
Factor -4*v**2 - 1154*v + 2063*v - 1881*v.
-4*v*(v + 243)
Suppose 6*l - 9*l = 5*g - 651, 3*g + l - 393 = 0. Factor g*p - 1124 - p**2 + 0*p**2 - 2*p**2 - 328.
-3*(p - 22)**2
Let b(w) = 29*w**3 - 2571*w**2 - 66573*w. Let i(q) = -35*q**3 + 2570*q**2 + 66574*q. Let j(f) = 10*b(f) + 9*i(f). Determine m so that j(m) = 0.
-258/5, 0
Let k = -37/7 + 155/28. Let f(t) be the second derivative of -9/20*t**5 - k*t**4 - 10*t + 3*t**2 - 1/10*t**6 + 0 + 3/2*t**3. Let f(x) = 0. Calculate x.
-2, -1, 1
Let n = -211144 - -633434/3. Factor -n - 1/6*w**2 + 5/6*w.
-(w - 4)*(w - 1)/6
Let h(r) = -2*r**2 + 605*r + 589. Let v(f) = 602*f + 590. Let z(j) = 2*h(j) - 3*v(j). Factor z(k).
-4*(k + 1)*(k + 148)
Let i(k) be the first derivative of -k**6/6 + 62*k**5/25 + k**4/4 - 62*k**3/15 + 1780. Find g, given that i(g) = 0.
-1, 0, 1, 62/5
Let t(l) be the third derivative of l**6/420 + 4*l**5/21 + 7*l**4/4 + 36*l**3/7 + 468*l**2 + 2*l. Factor t(h).
2*(h + 1)*(h + 3)*(h + 36)/7
Let m(r) be the first derivative of r**6/30 - r**5/8 - r**4/8 + 2*r**3/3 + r**2 + 75*r + 45. Let i(w) be the first derivative of m(w). Solve i(n) = 0.
-1, -1/2, 2
Let v(f) = f**3 - f. Let h(k) be the second derivative of k**6/15 + 3*k**5/5 - 7*k**4/3 + 7*k**3/3 + 165*k. Let w(u) = -2*h(u) - 28*v(u). Factor w(g).
-4*g**2*(g - 1)*(g + 14)
Let 108*i**2 - 135*i**3 + 24*i**4 - 293*i**5 - 291*i**5 - 280*i**5 + 867*i**5 = 0. What is i?
-12, 0, 1, 3
Let y(v) = -v**2 + 159*v + 458. Let b(x) = -3*x**2 + 321*x + 960. Let d(k) = -4*b(k) + 9*y(k). What is g in d(g) = 0?
-47, -2
Let k be 3/(-5) + 1008/80. Factor k*c**2 - 3*c**4 + 410311 - 410311.
-3*c**2*(c - 2)*(c + 2)
Let l(s) be the second derivative of -s**4/42 + 44*s**3/21 + 885*s**2/7 + 1652*s. Factor l(m).
-2*(m - 59)*(m + 15)/7
Let d(j) be the first derivative of 171/14*j**4 + 0*j + 150/7*j**2 + 190/7*j**3 + 15 + 1/7*j**6 + 78/35*j**5. Determine y, given that d(y) = 0.
-5, -2, -1, 0
Let m(j) be the first derivative of -5*j**3/3 - 75*j**2/2 + 500*j - 576. Factor m(q).
-5*(q - 5)*(q + 20)
Suppose 0 = -9*m - 3 + 21. Let u be (2/(-3))/(m/(-9)). Suppose g**4 - 65*g + 2*g**4 + u*g**5 + 65*g = 0. Calculate g.
-1, 0
Let j(v) be the first derivative of -33*v**2 + 24*v + 9. Let l be j(-11). Find m, given that 6*m**4 + 750*m**3 - l*m**3 - 9*m**2 - 3*m**4 - 6*m = 0.
-1, 0, 2
Let g(w) = -11*w**2 + 9*w - 234. Let o(r) = 20*r**2 - 12*r + 234. Let t(s) = 3*g(s) + 2*o(s). Factor t(m).
(m + 6)*(7*m - 39)
Let r(h) be the second derivative of h**6/105 + 11*h**5/35 - 331*h**4/42 - 352*h**3/21 - 6137*h. Find k, given that r(k) = 0.
-32, -1, 0, 11
Suppose 1099805/6 + 5/6*t**2 - 2345/3*t = 0. What is t?
469
Suppose -8*k + 13*k = 2*r + 281, -3*r = -k + 51. Let j be k - (-3 + -1 + 1). Suppose j*f + f**4 + 2*f**4 + 84 + 54*f**2 - 60 + 21*f**3 = 0. Calculate f.
-2, -1
Let h be (-5 - 1183/(-35))*(-104)/(-312). Factor 288/5 + h*f + 2/5*f**2.
2*(f + 12)**2/5
Suppose 44 = 7*n + 9. Factor n*m**2 - 858 - 2*m + 808 + 47*m.
5*(m - 1)*(m + 10)
What is a in 153/2*a**3 + 0 + 3/4*a**4 - 309/2*a - 315/4*a**2 = 0?
-103, -1, 0, 2
Let p = 3/65740 + 65713/591660. Factor -1/9*f**4 + 0 - 2/9*f + 2/9*f**3 + p*f**2.
-f*(f - 2)*(f - 1)*(f + 1)/9
Let x be (16 - (8 + -20)) + -24. Suppose 0*w + 0*w**3 + 1/6*w**2 - 1/6*w**x + 0 = 0. What is w?
-1, 0, 1
Let i = 1431 - 1476. Let y be 17/i - (576/60)/(-16). Suppose -2*l - y*l**3 + 4/3*l**2 + 0 = 0. What is l?
0, 3
Let y be ((-10176)/1908)/((-2)/(-7) + 242/(-504)). Suppose 10*f - 4*f = 8064. Factor -196*r**4 - 1056*r**2 + f*r**3 + 2048/7*r - y.
-4*(r - 6)*(7*r - 2)**3/7
Let j(u) = -u**3 + 7*u**2 - 10*u + 2. Let m be j(4). Suppose 4*h + 20 = b + b, 5*b + m = -5*h. Factor -2 + 3 - 3 - c**b + 3*c.
-(c - 2)*(c - 1)
Let s(r) be the second derivative of 3*r**5/20 - 75*r**4 + 299*r**3/2 - 32*r + 10. Suppose s(a) = 0. What is a?
0, 1, 299
Let x be (-1 - -5)*((-42)/(-4) + -10). Let m(a) be the first derivative of -a - 2/3*a**3 + 2*a**x - a**4 + 3/5*a**5 - 1. Determine u so that m(u) = 0.
-1, 1/3, 1
Let u = 6503/39 - 32203/195. Find b such that 26/5*b**2 + 8/5*b - u + 2*b**3 = 0.
-2, -1, 2/5
Find h such that 0*h - 60/7*h**3 + 0 + 288/7*h**2 + 3/7*h**4 = 0.
0, 8, 12
Let a(c) = 204*c**2 + 36*c + 36. Let k be a(-1). Let u = k - 1834/9. Factor u*o**3 + 4/3 - 8/9*o**2 + 2/9*o.
2*(o - 3)*(o - 2)*(o + 1)/9
Let s(g) = g**3 + 46*g**2 + 45*g + 3. Let i be s(-45). Factor 1458*n**2 + 2*n**3 - 7*n**i + 60*n - 1438*n**2.
-5*n*(n - 6)*(n + 2)
Suppose -3*s - 6 = -5*s + 2*y, s - 1 = 2*y. Let a(b) be the second derivative of 0*b**3 + 0*b**2 - 3/20*b**s - 1/2*b**4 + 0 + 12*b. Find 