(-33)). Let g = i + -1/350. Factor -3/10*w**3 + 0*w**2 + g*w**4 + 0 + 0*w.
w**3*(5*w - 3)/10
Let c(o) be the second derivative of 0*o**3 + 3/5*o**5 + 8*o + 0*o**2 - 9 + 8/15*o**6 + 2/21*o**7 + 0*o**4. Determine m so that c(m) = 0.
-3, -1, 0
Let c be (4 - 12/8)/(192/18 + -9). Factor 2 + 1/4*l**2 - c*l.
(l - 4)*(l - 2)/4
Let r(c) = -465*c**2 - 14847*c - 14850. Let u(g) = 179*g**2 + 5939*g + 5940. Let a(s) = 5*r(s) + 13*u(s). Determine q so that a(q) = 0.
-1485, -1
Solve -3528375*x + 183100128 - 5*x**3 - 970*x**2 + 350990512 + 36329985 + 8245*x**2 = 0.
485
Let q(l) = -5*l**3 - 6*l**2 - 4*l. Let g(p) = 4*p**2 - 6*p**3 + 731 - 5*p - 11*p**2 - 731. Let s(f) = 4*g(f) - 5*q(f). Let s(u) = 0. Calculate u.
-2, 0
Let f(l) be the second derivative of -l**4/30 + 31*l**3/15 - 30*l**2 - 4*l - 679. Factor f(x).
-2*(x - 25)*(x - 6)/5
Let n = -196 - -198. Suppose -42163*a**2 - 10*a**4 + 42283*a**n + 5*a**5 - 40*a**3 - 240 - 5*a**4 + 80*a = 0. What is a?
-2, 2, 3
Let x(m) be the first derivative of 121*m**5/30 + 517*m**4/8 - 1979*m**3/18 + 107*m**2/4 - 7*m/3 - 8555. Suppose x(h) = 0. What is h?
-14, 1/11, 1
Let m(q) be the first derivative of 20*q + 9*q**2 + 17 - 2/3*q**3. Determine w so that m(w) = 0.
-1, 10
Let u be (-5)/(15/36)*(-17)/51. Let x(i) be the second derivative of 0*i**3 - 8*i + 1/8*i**u - 1/40*i**6 + 0*i**2 - 3/80*i**5 + 0. Find d such that x(d) = 0.
-2, 0, 1
Factor 0 + 3/8*d**5 - 1521/8*d**2 - 87/8*d**4 + 0*d + 741/8*d**3.
3*d**2*(d - 13)**2*(d - 3)/8
Let r(l) be the first derivative of 5*l**4/4 + 75*l**3 - 965*l**2/2 + 735*l - 2611. Let r(n) = 0. What is n?
-49, 1, 3
Let v(z) be the third derivative of 1/84*z**8 + 0*z + 0*z**3 - 1/3*z**4 + 1/3*z**5 - 2/105*z**7 - 1/10*z**6 + 0 + 17*z**2. Solve v(a) = 0 for a.
-2, 0, 1
Let c(q) be the first derivative of 108*q**5/5 - 111*q**4/4 - q**3 + 3*q**2 - 2363. Determine i so that c(i) = 0.
-2/9, 0, 1/4, 1
Factor 32 + 104*j**2 - 15/2*j**3 + 254*j.
-(j - 16)*(j + 2)*(15*j + 2)/2
Let i(l) = 10*l**4 + 63*l**3 + 14*l**2 - 6*l - 6. Let j(h) = 9*h**4 + 62*h**3 + 14*h**2 - 5*h - 5. Let f = 922 + -917. Let p(k) = f*i(k) - 6*j(k). Factor p(u).
-u**2*(u + 14)*(4*u + 1)
Let x(n) be the second derivative of n**4/4 - 185*n**3 + 102675*n**2/2 + 129*n. Solve x(k) = 0.
185
Solve -107/5*h**3 + 106/5 + 263/5*h + 48/5*h**2 + 2/5*h**4 = 0.
-1, -1/2, 2, 53
Let u = -107508 - -1827640/17. Determine a so that -u - 8/17*a**2 - 2/17*a**3 - 10/17*a = 0.
-2, -1
Let r = 27461 + -137303/5. Solve -r*o + 0 + 2/5*o**2 = 0.
0, 1
Let u be ((-16)/18)/((-4)/18). Suppose -6*v + 4*o = -2*v + 8, 18 = v + u*o. Factor -b**v - 13*b - 2*b**2 + 37*b.
-3*b*(b - 8)
Factor 16/3*r**2 + 2/3*r**3 + 14/3*r + 0.
2*r*(r + 1)*(r + 7)/3
Let x(o) be the first derivative of 6*o**5/65 - 2*o**4/13 - 290*o**3/39 + 250*o**2/13 + 2000*o/13 - 1714. Suppose x(t) = 0. What is t?
-20/3, -2, 5
Let y(q) = 8*q**3 + 8*q**2 - 26*q - 16. Let t be y(-2). What is a in 102/7*a**2 - 138/7*a + t + 8/7*a**3 = 0?
-14, 1/4, 1
Let s(f) = f**2 - 9. Let u be s(3). Suppose u = 3*c - 5*r + 6, 24 = 4*c + 2*r + 2*r. Factor -16*j - 30*j**4 - 38*j**2 + 26*j**4 + 6*j**2 - 20*j**c.
-4*j*(j + 1)*(j + 2)**2
Let o = 150941 + -1358413/9. Find n, given that o*n + 20/3*n**2 + 4/9*n**3 + 0 = 0.
-14, -1, 0
Let h(p) be the second derivative of p**4/60 + p**3/2 - 63*p**2/5 + 2*p + 325. Factor h(z).
(z - 6)*(z + 21)/5
Let y = 4 + 0. Let x = 8011 + -7995. Let z**3 - 4*z**2 + 11*z**3 + 214*z**5 - 210*z**5 + 24*z**2 - x*z - 20*z**y = 0. What is z?
-1, 0, 1, 4
What is c in -2/5*c**3 + 8 + 56/5*c + 14/5*c**2 = 0?
-2, -1, 10
Let l be (4 - (2 - 2))*-1. Let t be l + (-1)/((-4)/32). Factor 0*k + t*k**2 - k**2 - 33*k.
3*k*(k - 11)
Suppose 5334*q = 5638*q - 912. Factor 2/5*n**2 - 2/5*n**q + 2/5*n - 2/5.
-2*(n - 1)**2*(n + 1)/5
Suppose 9*v - 296 = 424. Find u, given that -42*u + 1994*u**2 + 175*u**3 + 15*u**5 + v - 27*u + 145*u**4 - 108*u - 2219*u**2 - 13*u = 0.
-8, -2, -1, 1/3, 1
Let t be (-6 + 36/8)*(-8)/6. Suppose -y - 10 = -3*m - 0*y, 2*m - 3*y = t. Suppose -l**5 + 2*l**5 - 6*l**2 + m*l**4 + 5*l**3 + 8*l**2 = 0. What is l?
-2, -1, 0
Let v = 4103/7119 + -5/1017. Find x, given that 0 - v*x**2 + 8/7*x = 0.
0, 2
Let s be (-1 - 65260/84) + -4. Let r = s + 782. Factor -2/21*d**2 - r*d + 4/21.
-2*(d - 1)*(d + 2)/21
Let m = -183114 + 183116. Let 16/13*k**m - 14/13*k**3 - 2/13*k**4 + 0*k + 0 = 0. Calculate k.
-8, 0, 1
Let q(f) be the second derivative of -f**4/3 - 1404*f**3 - 2217618*f**2 - 4368*f. Factor q(b).
-4*(b + 1053)**2
Let v(g) be the third derivative of g**9/181440 - g**5/5 - 2*g**2 - 15*g. Let x(d) be the third derivative of v(d). Factor x(p).
p**3/3
Let p(u) = u**2 + u + 6. Let z be p(0). Suppose -z*v = -v - 10. Find r, given that -3*r**2 + r**5 - v*r + 8*r**4 - 5*r**2 - 2*r + 3*r**5 = 0.
-1, 0, 1
Factor -167753 - 2810*p - 3591529 + 2*p**2 - 4*p**2 - 2674*p.
-2*(p + 1371)**2
Let f(b) be the first derivative of 4/5*b**5 + 228*b**2 + 256/3*b**3 + 14*b**4 - 185 + 252*b. Let f(q) = 0. What is q?
-7, -3, -1
Let n = -74542/7 - -223633/21. Suppose 8/3*b**2 + 6 - 7*b - n*b**3 = 0. Calculate b.
2, 3
Let v(i) be the first derivative of i**5 + 15*i**4/2 - 40*i**3 - 160*i**2 + 1430. Solve v(l) = 0 for l.
-8, -2, 0, 4
Suppose 49*q = -9*q + 116. Let f = 84 + -44. Factor 47*z**2 - z**4 + 3*z - 3*z**4 - 3*z**3 - z**4 - f*z**2 - q.
-(z - 1)*(z + 1)**2*(5*z - 2)
Suppose 27/2*s**2 - 1/2*s**4 + 54*s - s**3 + 54 = 0. Calculate s.
-3, -2, 6
Suppose 133*s - 2396 + 4776 = 2646. Solve 0 - 3/5*m**5 - 3/5*m**s + 3/5*m**4 - 6/5*m + 9/5*m**3 = 0 for m.
-1, 0, 1, 2
Let v be 2/(-5) - (144/1260)/((-3)/28). Let f(i) be the third derivative of 10*i**2 + 1/30*i**6 + v*i**3 + 0 + 1/2*i**4 + 1/5*i**5 + 0*i. Factor f(h).
4*(h + 1)**3
Suppose 5*n + 97 = -8. Let t = 25 + n. Factor 24*a**2 - 12*a**3 + 2*a**5 - 2*a**5 + 13*a**3 + a**5 - 6*a**t + 16*a.
a*(a - 4)**2*(a + 1)**2
Let p(w) = w**5 - 26*w**4 - 623*w**3 - 1797*w**2 - 3*w. Let b(o) = 24*o**4 + 624*o**3 + 1796*o**2 + 4*o. Let t(j) = 3*b(j) + 4*p(j). Factor t(l).
4*l**2*(l - 18)*(l + 5)**2
Let f(h) = -h**2 + 171*h - 4858. Let c be f(36). Factor 0 + 44*g**4 - 160/7*g**3 + 0*g + 484/7*g**5 + 16/7*g**c.
4*g**2*(g + 1)*(11*g - 2)**2/7
Let i(x) = -2*x**3 + 18*x**2 + 20*x - 13. Let l be i(11). Let q = -1937/7 - l. Factor 0*w**3 + 6/7*w**4 + 0 - q*w**5 - 8/7*w**2 + 0*w.
-2*w**2*(w - 2)**2*(w + 1)/7
Let n = 91660/3 + -30553. Let n*q**2 + 8/3 - 2*q = 0. Calculate q.
2, 4
Let j(i) be the second derivative of -i**4/3 + 3644*i**3/3 + 3646*i**2 - 8229*i. Factor j(m).
-4*(m - 1823)*(m + 1)
Let r(t) be the first derivative of -66*t**2 - 32*t + 40 - 16/3*t**3. Determine y so that r(y) = 0.
-8, -1/4
Let q(r) be the first derivative of -r**4/28 - 82*r**3/21 - 80*r**2/7 - 7897. Factor q(l).
-l*(l + 2)*(l + 80)/7
Find p such that 1/3*p**4 + 13*p**3 + 0 - 441*p + 105*p**2 = 0.
-21, 0, 3
Let u(n) be the second derivative of n**7/210 - n**6/150 - 67*n**5/100 + 193*n**4/60 - 21*n**3/5 + 3902*n. Solve u(g) = 0.
-9, 0, 1, 2, 7
Let d = 239 - 236. Suppose 783 - 39*b**d - 128*b - 823 + b**3 - 4*b**4 - 114*b**2 = 0. Calculate b.
-5, -2, -1/2
Factor -84*o**2 + 9/2*o**3 - 63 - 435/2*o.
3*(o - 21)*(o + 2)*(3*o + 1)/2
Factor -9/4*i - 3/4*i**3 + 15/4*i**2 - 27/4.
-3*(i - 3)**2*(i + 1)/4
Suppose 4*w = 12, 5*w + 53 = 5*v - 777. Suppose 158*h - v*h + 55 = 0. Let -2/3*i**4 + 8/3 + 2/3*i**h + 16/3*i - 10/3*i**3 + 2/3*i**2 = 0. What is i?
-1, 2
Let f be 150/21 - (29 - 22). Let h be (-7 + (-306)/(-42))/(2 + 0). Determine i so that 4/7*i**2 - 4/7 - f*i**3 + h*i = 0.
-1, 1, 4
Let q = 953/4540 + -9/908. Let -18/5 + q*h**2 - 7/5*h = 0. Calculate h.
-2, 9
Let g be -3*(-2)/6 + 11. Suppose -11*i - 46 = -12*i + 2*n, 5*i - 195 = 3*n. Factor -i*j**2 + 24*j - 1 - 2*j**3 + 17 + g*j**3.
2*(j - 2)**2*(5*j + 2)
Let w be -3 - ((-12)/16 - 105/60) - -17. Factor -3/2*c**2 + w*c - 27.
-3*(c - 9)*(c - 2)/2
Let t(d) = d**2 + 20*d + 55. Let k be t(-3). Factor 5*s**4 + 617*s**2 - 545*s**2 + 44*s**3 - s**k.
4*s**2*(s + 2)*(s + 9)
Factor -13 - 2*p**3 + 35 - 38 + 20*p - 2*p**2.
-2*(p - 2)*(p - 1)*(p + 4)
Let t(u) be the first derivative of -u**7/735 + u**5/70 - u**4/42 + u**2/2 + 9*u - 3. Let p(c) be the second derivative of t(c). Factor p(y).
-2*y*(y - 1)**2*(y + 2)/7
Let y = -36 + 36. Suppose 0 = -y*d + d - 4. Find i such that -2*i**d - 11*i**3 + 20*i**2 + 6*i