tive of -37 + 7/50*w**5 + 17/30*w**4 + 1/75*w**6 + 17/15*w**3 - 2*w + 6/5*w**2. Factor a(n).
2*(n + 1)**2*(n + 2)*(n + 3)/5
Let l(a) = 16*a - 75. Let k be l(5). Suppose 1469*z**2 - 1599*z**2 + 360*z**4 + 10 + 29*z**3 - 9*z**3 - 5*z + 225*z**k = 0. Calculate z.
-1, -1/3, 1/3, 2/5
Let x(o) be the second derivative of o**4/6 - 415*o**3/3 + 826*o**2 - 6344*o. Factor x(g).
2*(g - 413)*(g - 2)
Let -536/5*p**2 + 2464*p + 6/5*p**3 - 15488/5 = 0. What is p?
4/3, 44
Let z(g) be the third derivative of -1/540*g**6 + 16 + 1/45*g**5 + 0*g**3 - 1/45*g**7 + g**2 + 5/756*g**8 + 0*g**4 + 0*g. Suppose z(n) = 0. What is n?
-1/2, 0, 3/5, 2
Let y(l) = 3*l**2 + 6. Let v(r) = 14*r**2 - 3*r + 21. Let d(m) = 17*m**2 - 4*m + 23. Let a(w) = 3*d(w) - 4*v(w). Let s(u) = -2*a(u) - 5*y(u). Factor s(f).
-5*f**2
Let y(k) be the second derivative of -k**5/40 - 43*k**4/8 - 1849*k**3/4 - 79507*k**2/4 + 840*k. Find z, given that y(z) = 0.
-43
Factor 714/5*h + 3/5*h**2 + 42483/5.
3*(h + 119)**2/5
Let 2/3*u**4 - u**5 - 62/3*u**2 + 13*u**3 + 8*u + 0 = 0. What is u?
-4, 0, 2/3, 1, 3
Let p = 14665 + -14663. Let 1/2*c**p - 1/2*c**4 + 0 - 3/2*c + 3/2*c**3 = 0. Calculate c.
-1, 0, 1, 3
Suppose -u - 1 = 0, -5*m + 120 = -4*u - u. Let 5 + q - m - 11*q - 38 + q**2 = 0. What is q?
-4, 14
Suppose -18*p + 75 = -13*p. Suppose -13*k = -p*k + 8. Factor -13/8*b**3 - 1/2*b - 1/8*b**5 + 0 - 3/4*b**k - 3/2*b**2.
-b*(b + 1)**2*(b + 2)**2/8
Let j(q) = 17*q**2 + q. Let b be j(-1). Let r = -2845 - -2852. Suppose -8*l**4 - 4*l**2 - r*l**3 + b*l**4 - 6*l**4 = 0. Calculate l.
-1/2, 0, 4
Let h be ((-24)/16)/((2/(-4))/1). Let 15*j - 9 + h*j**2 - 6 - 11 + 8 = 0. Calculate j.
-6, 1
Factor -220*w**4 - 41*w**2 + 20*w + 344*w**4 - 80 + 540 - 129*w**4 - 130*w**3 - 304*w**2.
-5*(w - 1)*(w + 2)**2*(w + 23)
Let t(g) be the second derivative of 3*g**6/80 + 21*g**5/80 + 73*g**4/96 + 7*g**3/6 + g**2 - 1225*g. Factor t(f).
(f + 1)**2*(3*f + 4)**2/8
Let j(k) be the second derivative of 0 - 1/24*k**4 + 1/4*k**2 + 0*k**3 - 96*k. Let j(d) = 0. Calculate d.
-1, 1
Find d such that 48 + 1/3*d**5 - 25/3*d**3 + 1/3*d**2 + 56*d - 1/3*d**4 = 0.
-3, -1, 4
Let q(s) = -43*s - 84. Suppose 14*a + 7 = -21. Let g be q(a). Let 0*d - 1/2*d**4 - 1/2*d**3 + 0*d**g + 0 = 0. What is d?
-1, 0
Let c(a) be the first derivative of 12/5*a**4 - 181 + 74/15*a**3 + 8/25*a**5 - 3*a**2 - 20*a. Suppose c(t) = 0. Calculate t.
-5/2, -2, 1
Suppose 0 = 4*k - k - 4*d - 53, 0 = 4*d - 4. Let -k*p**2 + 3*p**4 - 5*p**2 + 82*p**3 - 88*p**3 = 0. What is p?
-2, 0, 4
Let l(q) be the third derivative of -1/90*q**5 - 107*q**2 - 2116/9*q**3 + 0 - 23/9*q**4 + 0*q. Find s, given that l(s) = 0.
-46
Suppose 12*o + 2*o = 4354. Find a such that o*a**4 - 25*a - 54*a**2 - a**2 - 316*a**4 - 35*a**3 = 0.
-5, -1, 0
Suppose -2*y = -r - 14, 0*y + 24 = 5*y + 3*r. Factor 45*a + 45*a**3 + y*a - 51*a**3 - 99*a**2.
-3*a*(a + 17)*(2*a - 1)
Let m(r) be the second derivative of r**5/100 - r**4/20 - 23*r**3/15 - 36*r**2/5 + 497*r - 1. Factor m(c).
(c - 9)*(c + 2)*(c + 4)/5
Let k(o) be the second derivative of 4 - 32/27*o**3 + 4/45*o**5 + 17*o + 2/9*o**4 - 64/9*o**2 + 1/135*o**6. Factor k(u).
2*(u - 2)*(u + 2)*(u + 4)**2/9
Let o(r) = 4*r**2 - 7*r + 2. Let k be o(4). Suppose 26*l = 142 - k. Factor -8/7*m**l - 2/7*m**5 + 0*m**3 + 32/7*m + 32/7*m**2 + 0.
-2*m*(m - 2)*(m + 2)**3/7
Let f(n) be the second derivative of n**5/35 + 57*n**4/7 + 328*n**3/21 - 2040*n**2/7 - 3484*n + 2. Suppose f(l) = 0. Calculate l.
-170, -3, 2
Suppose -3*z + 41 = 4*d + 14, -z + 20 = 5*d. Suppose 8 = -2*t - 4*j, -2*t + 4 = -4*t - 2*j. Factor 12 + 6*w + d*w**2 - 18*w + t*w**2.
3*(w - 2)**2
Let g(b) = 15*b**2 + 13*b. Suppose 16*l = 15*l - 1. Let x be g(l). Factor -1/4*h**x + 1/4*h**3 + 0 - 1/2*h.
h*(h - 2)*(h + 1)/4
Let -4/3*o**2 - 1/3*o**3 + 52/3*o - 80/3 = 0. What is o?
-10, 2, 4
Suppose -10*r - 790 - 620 = 0. Let x = r + 144. Factor 40 + 115*d + 122*d + 135*d**2 - 4*d**3 - 87*d + 29*d**x.
5*(d + 1)*(d + 4)*(5*d + 2)
Determine i so that 1239/5 + 1242/5*i + 3/5*i**2 = 0.
-413, -1
Let o = 17741/5 + -3548. Let l(b) be the second derivative of -6*b**3 + 0*b**2 + 0 + 2*b**4 - o*b**5 + 7*b. Let l(u) = 0. What is u?
0, 3
Let o(k) = -765*k**2 + 10407*k. Let x(p) = 64*p**2 - p. Let l(b) = o(b) + 12*x(b). Determine j so that l(j) = 0.
-3465, 0
Let t be (-1250)/(-60) + (-2)/(-12). Let a = t - 10. What is m in -3*m + 3 - 13*m**2 + 14*m**3 + 10*m**2 - a*m**3 = 0?
-1, 1
Let d(a) be the first derivative of -10*a**6/3 - 11*a**5 + 235*a**4/4 + 5*a**3/3 - 215*a**2/2 + 50*a - 168. Solve d(p) = 0.
-5, -1, 1/4, 1, 2
Let g be (-8)/(-14) + (-408)/714. Let w(j) be the third derivative of 1/330*j**6 + j**2 + 1/1155*j**7 + 0 + 0*j**5 - 1/33*j**3 - 1/66*j**4 + g*j. Factor w(d).
2*(d - 1)*(d + 1)**3/11
Factor 623*z - 95 - 85 + 10*z**2 - 2*z**2 - 677*z - 6*z**2.
2*(z - 30)*(z + 3)
Factor -18 - g**2 + 202*g + 116 - 27 + 151 - 19.
-(g - 203)*(g + 1)
Let a(u) = -3*u**2 + 3*u + 9. Let r be a(7). Let l be (r/15 - -7)/((-2)/10). Let -720*s**4 + 724*s**l + 3*s**5 - 7*s**5 = 0. Calculate s.
0, 1
What is b in 21*b**3 + 0 + 36/7*b**4 + 12/7*b**2 + 0*b = 0?
-4, -1/12, 0
Suppose -4*t + 549 = 4*k + 165, -4*t = 3*k - 389. Suppose t = 29*o + 14. Suppose 1/3*h**o + 4 - 1/3*h**2 - 8/3*h = 0. Calculate h.
-3, 2
Let w(q) be the first derivative of -q**6/20 + 13*q**5/15 + q**4 + 49*q**3/3 + 8. Let h(x) be the third derivative of w(x). Factor h(k).
-2*(k - 6)*(9*k + 2)
Suppose 1300 = -6*s + 56*s. Let l(v) = -v**3 + 27*v**2 - 37*v + 288. Let a be l(s). Factor 7/2*b - 19/4*b**a - b**4 + 1/8*b**5 - 1 + 25/8*b**3.
(b - 2)**3*(b - 1)**2/8
Let m(y) = 94*y**2 - 1222*y - 494. Let x(b) = 14*b**2 - b - 1. Let i(a) = -m(a) + 6*x(a). Suppose i(k) = 0. Calculate k.
-2/5, 122
Factor -120*p**3 - 62*p**2 + 4208*p**5 + 2*p + 7*p**2 - 2*p - 4218*p**5 - 75*p**4.
-5*p**2*(p + 1)**2*(2*p + 11)
Let i(f) be the second derivative of -f**4/4 - 13*f**3 + 81*f**2/2 + 97*f - 1. Determine n so that i(n) = 0.
-27, 1
Factor 196 - 76 + 4*v**3 + 1 - 40*v**2 - 44*v**2 + 155 - 196*v.
4*(v - 23)*(v - 1)*(v + 3)
Let t be (-36)/(-14) + 66/154. Determine h, given that 13865*h - 99*h**t + 1125 - 481*h**3 - 9515*h + 20*h**4 + 3905*h**2 = 0.
-1/2, 15
Factor 4834480 - 4*s**3 - 805*s + 110*s**2 - 4832520 - s**3.
-5*(s - 8)*(s - 7)**2
Determine f so that -942*f - 6*f**3 + 22*f**3 - 615*f**2 - 9*f**3 + 624 + f**3 - 2*f**3 = 0.
-2, 1/2, 104
Suppose 2/7*p**2 - 800/7 + 60/7*p = 0. Calculate p.
-40, 10
Let i(c) be the second derivative of -c**4/36 - 119*c**3 - 382347*c**2/2 + 66*c + 17. Find b such that i(b) = 0.
-1071
Let i = -11353/35 + 1679/5. Solve -i*q - 76/7 - 4/7*q**2 = 0 for q.
-19, -1
Let v(i) = 257*i - 1795. Let h be v(7). Let t be 3/(-2)*(-1)/3. Factor 1/2*o**5 + 0 - 1/2*o**2 + 0*o - t*o**3 + 1/2*o**h.
o**2*(o - 1)*(o + 1)**2/2
Solve 2*l**3 - 120*l + 9712*l**2 + 9707*l**2 + 9708*l**2 - 29135*l**2 = 0 for l.
-6, 0, 10
Let 13*c**2 - 112*c - 4*c**3 + 103*c**2 - 2112 + 2112 = 0. Calculate c.
0, 1, 28
Let j = -261 - -260. Let p be j/(-2)*5/(-70)*-4. Factor 0 - p*m**5 - 1/7*m - 6/7*m**3 + 4/7*m**2 + 4/7*m**4.
-m*(m - 1)**4/7
Let k(g) be the first derivative of -48/7*g**2 - 3/28*g**4 + 20 + 384/7*g - 2*g**3. Suppose k(j) = 0. Calculate j.
-8, 2
Let b(j) = -48*j - 663. Let d be b(-23). Let s = 445 - d. Determine z so that z**2 + 1/4*z**5 + 0 + 0*z + 1/2*z**s - 7/4*z**3 = 0.
-4, 0, 1
Let b(o) be the first derivative of -o**6/90 - o**5/15 + 8*o**3/9 + o**2 - 297*o - 29. Let s(w) be the second derivative of b(w). Find i, given that s(i) = 0.
-2, 1
Let j(b) be the second derivative of b**4/60 + 2*b**3/3 + 91*b**2/10 + 12*b - 37. Find h such that j(h) = 0.
-13, -7
What is f in 2909*f**3 + 0*f**5 - 42*f - 2859*f**3 - 8*f**5 - 36 - 14*f**4 + 50*f**2 = 0?
-3, -1, -3/4, 1, 2
Let n(d) be the first derivative of d**5/15 - 35*d**4/6 + 23*d**3/3 + 1131. Factor n(q).
q**2*(q - 69)*(q - 1)/3
Let p(c) be the second derivative of 2*c**7/105 + 29*c**6/150 + 27*c**5/100 - 23*c**4/60 - 31*c**3/30 - 3*c**2/5 - 539*c. Find i, given that p(i) = 0.
-6, -1, -1/4, 1
Let x(c) be the third derivative of c**6/280 + 13*c**5/35 - 4*c**4 + 326*c**2. Let x(j) = 0. Calculate j.
-56, 0, 4
Let j(r) be the third derivative of 0 - 7/60*r**5 + 21*r**2 + 0*r - 1/40*r**6 + 1/30*r**7 + 1/8*r**4 + 0*r**3. Factor j(i).
i*(i - 1)*(i + 1)*(7*i - 3)
Let y be (