iven that 8/13 + 4/13*d**2 + w*d**o - 14/13*d = 0.
-4, 1
Let d = -59280 - -59283. What is s in -1/2*s**d + 2*s**2 - 5/2*s + 1 = 0?
1, 2
Let z(w) be the first derivative of w**5/25 + 3*w**4/10 + 4*w**3/5 + w**2 + 3*w/5 + 1680. Factor z(k).
(k + 1)**3*(k + 3)/5
Let a(c) be the first derivative of 0*c + 8*c**3 - 2 - 5*c**4 + 0*c**2 + 2/3*c**6 - 8/5*c**5. Factor a(d).
4*d**2*(d - 3)*(d - 1)*(d + 2)
Let k = 197 - 177. Let h = 8 - 5. Factor -10*o**3 + 25*o**2 - k*o + h + 2 + 0.
-5*(o - 1)**2*(2*o - 1)
Let g(m) = 100*m - 694. Let c be g(7). Let w(o) be the third derivative of 10*o**2 + 0 - 1/780*o**c + 0*o + 1/156*o**4 - 1/39*o**3 + 1/390*o**5. Factor w(s).
-2*(s - 1)**2*(s + 1)/13
Let f be (-56 + 62)*((8/(-4))/2)/(-3). Let b(w) be the first derivative of 1/14*w**4 + 0*w + 2/21*w**f - 27 + 10/63*w**3. Find t such that b(t) = 0.
-1, -2/3, 0
Let f(v) = 6*v**2 - v + 86. Let j be f(0). Suppose 3*s**2 + 33 - j - 22 = 0. Calculate s.
-5, 5
Let h(n) be the first derivative of -2*n**5/5 - 21*n**4/2 + 50*n**3/3 + 1425*n**2 - 9000*n - 975. What is d in h(d) = 0?
-15, 4, 5
Let l(d) be the first derivative of -3723875*d**4/12 + 168175*d**3/3 - 7595*d**2/2 + 343*d/3 - 607. Find s, given that l(s) = 0.
7/155
Let u(p) = -p**2 - 7*p + 5. Let b be u(-7). Let x be (b/(-35))/((100/(-14))/5). Find q such that 1/10 + x*q + 1/10*q**4 - 1/5*q**3 + 1/10*q**5 - 1/5*q**2 = 0.
-1, 1
Factor 222/7*x**2 + 2/7*x**4 + 0 + 114/7*x**3 + 110/7*x.
2*x*(x + 1)**2*(x + 55)/7
Factor 24/7 - 160/7*u + 26/7*u**2.
2*(u - 6)*(13*u - 2)/7
Let m be (-3151)/(-4110) + ((-1)/6)/1. Find t, given that -m*t**2 + 0 + 18/5*t = 0.
0, 6
Suppose 0 = 8*v + 69 - 85. Factor 2*n**v + 4*n + 10*n - 24 + 3*n - 9*n.
2*(n - 2)*(n + 6)
Let v = 7135 - 35671/5. Let s(j) be the first derivative of 2/25*j**5 - 1 - 14/15*j**3 + 0*j + v*j**2 + 1/5*j**4. Determine d, given that s(d) = 0.
-4, 0, 1
Let c(x) be the first derivative of -4*x**5/5 - 135*x**4 + 4*x**3/3 + 270*x**2 + 787. Factor c(m).
-4*m*(m - 1)*(m + 1)*(m + 135)
Suppose 20 = -5*i, -9*x + 8*x - 5*i = 8. Determine s, given that -5*s**2 + 414*s**4 + x*s + 4*s**3 - 418*s**4 + 25*s**2 = 0.
-1, 0, 3
Let d be (-343)/588*(-54)/63. Let 7 - d*c**2 - 13/2*c = 0. What is c?
-14, 1
Let a(f) = f**3 - 5*f**2 + 8*f - 4. Let b be a(5). Let r = b - 12. Determine y so that -5 - 3*y - 21*y**3 + r*y**3 + 3*y**2 + 2 = 0.
-1, 1
Let h(r) be the second derivative of -r**4/12 - 257*r**3/3 + 515*r**2/2 - 3401*r. Solve h(l) = 0.
-515, 1
Factor -1/3*v**3 + 0 + 253*v + 58/3*v**2.
-v*(v - 69)*(v + 11)/3
Solve -2/3*s**2 - 34*s - 96 = 0.
-48, -3
Let r(j) = 3*j**2 + 9*j + 8. Let k be r(-1). Suppose -2599*f**4 + 2*f + 2*f**2 + 2601*f**4 + 4*f**3 - k*f = 0. What is f?
-1, 0
Let q(r) be the third derivative of r**6/120 + 3*r**5/50 + 7*r**4/40 + 4*r**3/15 - 1100*r**2 + 1. Let q(k) = 0. Calculate k.
-8/5, -1
Let s(p) = 2*p**3 + 967*p**2 + 118105*p + 117131. Let f(d) = 2*d**3 + 966*d**2 + 118108*d + 117132. Let t(b) = 3*f(b) - 4*s(b). What is w in t(w) = 0?
-242, -1
Suppose 13*k = 15*k + 4. Let p be (16/(-12) - k)/(1 + 0). Find n, given that -2/3*n**2 - 1/3*n**5 - p*n**3 + n**4 - 1/3 + n = 0.
-1, 1
Let s(x) be the second derivative of -5*x**5/4 + 20*x**4 + 5875*x**3/6 + 1155*x**2 + x - 2895. Factor s(q).
-5*(q - 21)*(q + 11)*(5*q + 2)
Let s(f) = 2*f**4 + 5*f**3 - 2*f**2 - 5*f. Let u(z) = z**4 + 5*z**3 - z**2 - 5*z. Let t = 167 + -171. Let j(a) = t*s(a) + 3*u(a). Let j(h) = 0. Calculate h.
-1, 0, 1
Factor -6*b**3 - 2/5*b**4 + 0*b - 72/5*b**2 + 0.
-2*b**2*(b + 3)*(b + 12)/5
Let c(r) = 16*r**3 + 385*r**2 + 797*r + 188. Let x(u) = 16*u**3 + 386*u**2 + 798*u + 184. Let a(k) = -2*c(k) + 3*x(k). Factor a(s).
4*(s + 2)*(s + 22)*(4*s + 1)
Factor 3561*g - 20 + 3*g**2 + 122 - 3666*g.
3*(g - 34)*(g - 1)
Let p(v) be the third derivative of 2*v**8/147 - 8*v**7/245 - 19*v**6/84 + 9*v**5/35 + 43*v**4/84 + 2*v**3/7 + 770*v**2. Suppose p(t) = 0. What is t?
-2, -1/4, 1, 3
Let u(m) be the first derivative of 703*m**4/24 - m**3/18 - m**2/6 + 356. Factor u(c).
c*(19*c + 1)*(37*c - 2)/6
Let u(z) be the second derivative of 0*z**2 + 8/3*z**3 + 1/6*z**4 + 3*z + 1. Let u(d) = 0. What is d?
-8, 0
Let c(x) = -6*x**2 + 4*x + 28. Let d(i) = -69*i**2 + 133*i**2 - 10*i - 46*i**2 - 84. Let g(w) = -8*c(w) - 3*d(w). Factor g(a).
-2*(a - 2)*(3*a + 7)
Let y(z) be the first derivative of -29 + 12*z - 12*z**2 + 3/2*z**4 + 3*z**3 - 3/5*z**5. Find s, given that y(s) = 0.
-2, 1, 2
Let x(d) be the first derivative of 3*d**4/4 + 16*d**3 + 72*d**2 + 1070. Find l such that x(l) = 0.
-12, -4, 0
Let k(v) be the first derivative of 2*v**5/65 + 266*v**4/13 + 141512*v**3/39 - 2876. Suppose k(i) = 0. What is i?
-266, 0
Let l = 197067 - 197065. Factor 3/7*v**5 - 30/7*v**4 - 51/7*v + 48/7*v**3 + 24/7 + 6/7*v**l.
3*(v - 8)*(v - 1)**3*(v + 1)/7
Let s be (((-400)/75)/2 + 4*1)*75/100. Let 2/3*l - s + 1/3*l**2 = 0. Calculate l.
-3, 1
Let j be 1 + 116/12 - 18/27. Let w(a) be the first derivative of -j - 81/2*a - 3/2*a**4 - 27*a**2 - 1/10*a**5 - 9*a**3. Determine t so that w(t) = 0.
-3
Let k(g) = -5*g**2 - 210*g + 335. Let m(a) = -4. Let n(l) = k(l) + 30*m(l). Factor n(i).
-5*(i - 1)*(i + 43)
Suppose 7*r - 3039 + 2899 = 0. Let t be ((-36)/r - -1)*15/(-18). Factor 0*v + 0 + 0*v**2 + t*v**4 - 2/3*v**3.
2*v**3*(v - 1)/3
Let k(s) be the first derivative of 4/5*s**2 - 128/5*s + 13/10*s**4 - 2/25*s**5 + 32/5*s**3 - 245. Find a such that k(a) = 0.
-2, 1, 16
Let -3*h**2 - 2*h**2 - 52*h**2 - 360 + 7*h**2 + 540*h + 10*h**5 - 175*h**3 + 26*h**4 + 9*h**4 = 0. What is h?
-6, -2, 1, 3/2, 2
Suppose -113*w + 162 = -23 - 41. Let v(h) be the first derivative of -10/3*h**3 + 5/2*h**w + 0*h + 17. Suppose v(a) = 0. Calculate a.
0, 1/2
Let z(o) be the first derivative of o**6/2700 - o**5/900 - 2*o**3/3 + o**2/2 + 69. Let s(f) be the third derivative of z(f). Factor s(v).
2*v*(v - 1)/15
Let b be (1/(-13) + 18177/14235)*(-3)/4*-4. Find s, given that -16/5*s**3 + 0 + b*s - 2/5*s**5 + 4*s**4 - 4*s**2 = 0.
-1, 0, 1, 9
Let p(g) = 2*g**3 - 84*g**2 + 3*g - 123. Let u be p(42). Let s(f) be the first derivative of -51 + f**2 + 4/15*f + 16/15*f**u + 11/30*f**4. Factor s(t).
2*(t + 1)**2*(11*t + 2)/15
Solve -1/7*u**2 + 5/7*u**3 - 4/7 + 1/7*u**4 - 1/7*u**5 - 8/7*u = 0.
-1, 2
Let h(k) = 2*k**3. Let i(c) = 116*c**3 - 100*c**3 + 90*c - 23*c + 52*c**2 - 196 + 73*c. Let u(w) = 6*h(w) - i(w). Find r, given that u(r) = 0.
-7, 1
Let h(c) be the first derivative of -2/15*c**4 + 1/45*c**6 - 100 + 0*c - 2/25*c**5 + 0*c**3 + 0*c**2. Factor h(u).
2*u**3*(u - 4)*(u + 1)/15
Let q(a) be the second derivative of 2/39*a**3 + 3 - 2*a + 1/78*a**4 + 0*a**2 - 1/130*a**5. What is g in q(g) = 0?
-1, 0, 2
Suppose 447 = -24*x - 201. Let z be x - -25 - 42/(-15). Factor 4/5*s**2 - 2/5*s + 2/5*s**3 - z.
2*(s - 1)*(s + 1)*(s + 2)/5
Let y(r) be the second derivative of r**5/20 - 7*r**4/12 - 85*r**3/6 + 91*r**2/2 - 4146*r. Factor y(v).
(v - 13)*(v - 1)*(v + 7)
Let w(m) be the first derivative of m**3 + 135*m**2 + 6075*m + 756. Solve w(u) = 0.
-45
Determine y, given that 19*y**5 - 135*y**3 + 96*y**2 + 308*y**3 + 307*y**3 + 54*y**3 + 465*y**4 + 8*y**5 = 0.
-16, -1, -2/9, 0
Let l(c) = 3*c**3 + 72*c**2 + 181*c - 79. Let j(v) = 3*v**3 + 67*v**2 + 180*v - 76. Let f(d) = -5*j(d) + 4*l(d). Factor f(n).
-(n + 8)**2*(3*n - 1)
Factor -353 + 4666185*s - 4665641*s + s**2 + 1437.
(s + 2)*(s + 542)
Let v be -36 - 15894/(-441) - 666/(-490). Factor 8/5 + v*j - 1/5*j**2.
-(j - 8)*(j + 1)/5
Let j = 18375 + -18372. Let o(a) be the third derivative of -4 + 1/42*a**4 + 1/210*a**5 + 0*a + a**2 + 1/21*a**j. Factor o(k).
2*(k + 1)**2/7
Let u(a) be the third derivative of 0 - 1/140*a**7 - 3*a**2 + 0*a**4 - 3/80*a**6 - 1/20*a**5 + 0*a**3 + 3*a. Determine r so that u(r) = 0.
-2, -1, 0
Suppose 681 = 59*m + 785*m - 1007. Determine d, given that -1/3*d**5 + 2/3*d**m - d**4 + d - 2/3*d**3 + 1/3 = 0.
-1, 1
Let s(j) be the first derivative of -5*j**4/4 - 95*j**3 - 555*j**2/2 + 116365*j - 2056. Suppose s(v) = 0. What is v?
-37, 17
Let k = 761752/21 - 108820/3. Factor 2/7*f**2 + k*f - 16/7.
2*(f - 2)*(f + 4)/7
Let m be 2/11 + (-2)/11. Suppose -37*q = -42*q - 2*t + 38, 5*t = -q + 49. Solve 32/3*f**2 + 2/3*f**q + 0 - 16/3*f**3 + m*f = 0.
0, 4
Factor -366/7*j + 240/7 + 129/7*j**2 - 3/7*j**3.
-3*(j - 40)*(j - 2)*(j - 1)/7
Suppose o + 4*g = 18, 29*o = 31*o + 4*