) be the first derivative of -1/5*d**2 - 18 - 2/15*d**m + 1/10*d**4 + 2/5*d. Find b, given that n(b) = 0.
-1, 1
Let g = -1455 - -2204. Let j = -5241/7 + g. Factor 8/7*t**3 + 0*t**2 - j*t**4 - 32/7*t + 32/7.
-2*(t - 2)**3*(t + 2)/7
Let k = -739/43 + 2999/172. Factor -7/2*o**2 + 0 + k*o**4 - 13/4*o**3 + 0*o.
o**2*(o - 14)*(o + 1)/4
Let x(n) = -n**2 - 2*n + 2. Let y be x(0). Suppose -y*k = 2*a - 14, -5*a - 4*k = -16 - 15. Factor -1176*o + 25*o**a + 1176*o - 10*o**4 + o**5.
o**3*(o - 5)**2
Let m(b) be the third derivative of b**8/168 + 2*b**7/35 + b**6/20 - b**5/3 + 1706*b**2. Factor m(x).
2*x**2*(x - 1)*(x + 2)*(x + 5)
Let f be 6/(-12) + (-18909)/(-44). Let v = f + -427. Factor -33/4*l - 9/2*l**3 + 3/4*l**5 - 3/4*l**4 + v + 21/2*l**2.
3*(l - 1)**4*(l + 3)/4
Let z = -33818/5 + 6122. Let d = z - -642. Let 0*m**2 + d*m**3 - 2/5*m + 0 = 0. What is m?
-1, 0, 1
Factor -21/4*n**3 - 8 - 359/4*n**2 - 185/2*n.
-(n + 1)*(n + 16)*(21*n + 2)/4
Suppose -32 = -3*b - 5*o, -9*b + 4*b = 4*o - 36. Factor 3*m**b - 9*m - 2 + 9*m**3 - 7 + 738*m**2 - 735*m**2 + 3.
3*(m - 1)*(m + 1)**2*(m + 2)
Let r(l) = -2*l**2 - 59*l - 87. Let q be r(-30). Let f be (q/18 - -6)*-6. Let 0 + 0*n + 0*n**2 - 3/4*n**f + 3/4*n**4 = 0. Calculate n.
0, 1
Let c = 11092 - 221839/20. Let f(a) be the first derivative of 0*a + 0*a**3 + c*a**5 + 0*a**2 - 46 - 3/16*a**4. Factor f(g).
g**3*(g - 3)/4
Let c(b) be the second derivative of 8/105*b**6 - 1 - 20/21*b**3 + 1/147*b**7 - 24/7*b**2 + 1/3*b**4 + 18*b + 3/10*b**5. Suppose c(h) = 0. Calculate h.
-3, -2, 1
Suppose 405*m**2 - 807/2*m + 0 - 3/2*m**3 = 0. Calculate m.
0, 1, 269
Let w(l) be the third derivative of -l**7/18900 + l**6/450 - l**5/25 - 7*l**4/12 - l**3/3 - 2*l**2 - 27. Let m(o) be the second derivative of w(o). Factor m(n).
-2*(n - 6)**2/15
Suppose -3*t - 20*t + 1817 = 0. Suppose 10*q + 29 - t = 0. Solve -44/9*u**2 + 26/9*u + 4*u**3 - 14/9*u**4 - 2/3 + 2/9*u**q = 0 for u.
1, 3
Let n = -761/6 + 2285/18. Factor -n*a**2 - 22/9*a - 121/9.
-(a + 11)**2/9
Let h(w) be the first derivative of 3*w + 178 - 2*w**3 + 3/2*w**2. Solve h(f) = 0 for f.
-1/2, 1
Let k = 252 - -976. Let c = k + -1223. Suppose 27/8*z**4 + 12*z**3 + 6 + 21*z**2 + 3/8*z**c + 18*z = 0. What is z?
-2, -1
Suppose -2*d**3 + 12*d - 10*d**2 - 9*d**3 + 21*d**2 + 10*d**3 = 0. Calculate d.
-1, 0, 12
Let o(d) = 45*d**2 - 30*d - 50. Let i(p) = p**2 + 13*p + 25. Let r be i(-13). Let y(t) = -2*t**2 + 2. Let k(u) = r*y(u) + o(u). Factor k(z).
-5*z*(z + 6)
Let b(i) be the first derivative of -137 + 0*i + 0*i**2 - 3/4*i**4 - 8*i**3. Factor b(j).
-3*j**2*(j + 8)
Solve 1276/13*c + 0 - 2/13*c**2 = 0 for c.
0, 638
Let d be 578/(-11 + (-6 - -9) + 19). Let 2/11*v**2 + d - 68/11*v = 0. Calculate v.
17
Let p = 110 + -74. Solve 99*z**2 - 6*z**5 - 59*z**4 + 104*z**4 + 0*z**2 - p + 12*z - 114*z**3 = 0.
-1/2, 1, 2, 3
Let l = 613946 + -3683675/6. Factor -l*w**2 + 11/3 + 3/2*w.
-(w - 11)*(w + 2)/6
Suppose -176 - 112 = -9*x. Suppose -16 - 30*q + 12053*q**2 - 12045*q**2 - x*q = 0. What is q?
-1/4, 8
Let m(i) be the first derivative of 3*i**4/16 + 11*i**3/4 - 15*i**2 + 21*i + 1456. Factor m(y).
3*(y - 2)*(y - 1)*(y + 14)/4
Let x(p) be the third derivative of p**7/490 + 11*p**6/56 + 209*p**5/140 + 257*p**4/56 + 51*p**3/7 + 634*p**2 + 2. What is k in x(k) = 0?
-51, -2, -1
Find u such that -1/12*u**2 + 9/4*u - 13/6 = 0.
1, 26
Let w = -651 - -656. Solve -17 + 1 + w*c**2 - 19*c**2 + 0 - 2*c**3 - 28*c = 0 for c.
-4, -2, -1
Suppose 1 - 4 = -2*t - o, 0 = 2*t + 2*o - 6. Factor t*v**4 + 0*v**3 + 3*v**3 + 2*v**4 + v**4.
3*v**3*(v + 1)
Let u(d) = -6*d**3 + 2*d**2 + 24*d + 16. Let c(h) = -h**3 - h**2 + h + 1. Let z(l) = 8*c(l) - u(l). Determine r, given that z(r) = 0.
-2, -1
Let k(g) = -3*g**3 + 2*g**2 - 31*g + 24. Let a(s) = 2*s**3 - s**2 + 26*s - 21. Let d(t) = -4*a(t) - 3*k(t). Factor d(f).
(f - 4)*(f - 1)*(f + 3)
Let v(a) be the second derivative of a**5/20 - 5*a**4/12 - a**3/2 - 7*a**2 - 207*a. Let c be v(6). Factor 12/5*f**3 + 0 + 4/5*f**c + 4/5*f + 12/5*f**2.
4*f*(f + 1)**3/5
Suppose -708 - 929 = -631*a - 375. Factor 1/3*z**5 - 16/3*z - 16/3 + 16/3*z**3 + 7/3*z**4 + 8/3*z**a.
(z - 1)*(z + 2)**4/3
Suppose u - 59 = -2*g, u = 1 - 6. Solve -19*t**3 - 6*t**3 + 53*t**2 + 4*t**4 + g*t**3 - 32*t**3 - 5*t**4 - 27*t = 0.
-27, 0, 1
Let o(i) be the second derivative of -i**5/4 + 5*i**4/12 + 845*i**3/6 - 845*i**2/2 + 928*i. Factor o(b).
-5*(b - 13)*(b - 1)*(b + 13)
Let p(i) be the first derivative of -i**5/5 + 2*i**3 + 4*i**2 + 11*i - 20. Let b(u) be the first derivative of p(u). Factor b(t).
-4*(t - 2)*(t + 1)**2
Factor -28*i**2 + 0 - 17/3*i**3 + 1/3*i**4 + 0*i.
i**2*(i - 21)*(i + 4)/3
Let a(s) be the third derivative of -s**5/40 + 85*s**4/8 + 171*s**3/4 + 280*s**2 - 1. Factor a(r).
-3*(r - 171)*(r + 1)/2
Let z(d) be the third derivative of 243/80*d**5 + 1/6*d**3 + 3*d**2 + 0*d + 0 + 9/8*d**4. Find o such that z(o) = 0.
-2/27
Factor -2 + 2/3*s**3 - 62/9*s**2 + 74/9*s.
2*(s - 9)*(s - 1)*(3*s - 1)/9
Let p(s) be the first derivative of -16/3*s**2 + 49 - 4/9*s**3 + 12*s. Factor p(b).
-4*(b - 1)*(b + 9)/3
Let p be ((-4)/(-10))/(54/(-45)) - 28/(-84). Let g(v) be the third derivative of 0*v**4 + 1/120*v**5 + 12*v**2 + 0*v**3 - 1/240*v**6 + 0*v + p. Factor g(o).
-o**2*(o - 1)/2
Find h such that 19/6*h**3 + 19/2*h**2 + 1/6*h**4 - 319/6*h + 121/3 = 0.
-11, 1, 2
Let h(d) = -6*d + 3. Let k = -40 - -35. Let v be h(k). Suppose v*z**5 + z - z - 36*z**5 = 0. Calculate z.
0
Let c(r) be the third derivative of 0*r**3 + 1/525*r**7 + 0*r - 7/300*r**6 + 1/25*r**5 + 0 - 70*r**2 + 0*r**4. Solve c(t) = 0 for t.
0, 1, 6
Let l be 38/(-399)*-9*28/9. Factor -l*k**2 + 2/3*k**3 - 14/3*k + 20/3.
2*(k - 5)*(k - 1)*(k + 2)/3
Let w = -106612/3 - -35618. Factor -836/9*p - 170/9*p**2 - 8/9*p**3 + w.
-2*(p + 11)**2*(4*p - 3)/9
Let x be 1632/136 - (-44)/(-5). Let p(o) be the third derivative of 0 + 9/2*o**3 + 9*o**2 + 6*o**4 + 0*o + x*o**5. Factor p(s).
3*(8*s + 3)**2
Suppose 24 - 2/3*n**5 + 6*n**4 - 30*n**2 - 8/3*n + 10/3*n**3 = 0. Calculate n.
-2, -1, 1, 2, 9
Suppose 5*d - 33 = 2*l, 2*d = -0*d - 3*l - 2. Let q be (-4)/(d - (-85)/(-15)). Factor -q - m**2 + 5*m**2 + 5*m - 2*m**3 + 5*m - 6.
-2*(m - 3)*(m - 1)*(m + 2)
Let b(v) be the second derivative of -2*v**6/3 + 33*v**5/5 + 39*v**4 - 54*v**3 - 2271*v. Determine g, given that b(g) = 0.
-3, 0, 3/5, 9
Let c(x) be the first derivative of x**3/3 - 31*x**2/2 + 58*x - 554. Suppose c(h) = 0. What is h?
2, 29
Let m(r) be the first derivative of 2*r**4/5 + 84*r**3/5 + 704*r**2/5 - 768*r/5 - 3659. Suppose m(y) = 0. What is y?
-24, -8, 1/2
Let w be (16632/(-196))/(-33) - ((-20)/14 + 2). Let l(d) be the third derivative of 4*d**3 + 0*d + 31*d**w - 5/6*d**4 + 0 + 1/15*d**5. Factor l(p).
4*(p - 3)*(p - 2)
Factor -12530*t**2 + 4*t**3 + 115 + 61 - 12486*t**2 + 25092*t**2 - 256*t.
4*(t - 2)*(t - 1)*(t + 22)
Find k, given that 147*k**3 + 872*k - 500*k**2 - 143*k**3 + 200*k**2 - 576 = 0.
1, 2, 72
Let p(y) be the second derivative of -1/44*y**4 + 30*y - 1/22*y**2 + 1/22*y**3 + 0 + 1/220*y**5. Factor p(n).
(n - 1)**3/11
Suppose 6*w + 5*r = 9*w - 37, -w + 4*r = -24. Suppose -k + 2*y - 2 = -4*k, 0 = k - 4*y + w. Factor -1/4*h**2 + k + 1/4*h.
-h*(h - 1)/4
Let p be ((-22)/16 - -1)*((-59850)/189)/25. Factor 4*d + 7/4*d**4 + 1/4*d**5 + 25/4*d**2 + p*d**3 + 1.
(d + 1)**3*(d + 2)**2/4
Let k(p) be the second derivative of p**6/18 - 301*p**5/12 + 9500*p**4/3 - 6250*p**3 - 2*p - 124. Suppose k(a) = 0. Calculate a.
0, 1, 150
Suppose 0*d + 3*d - 4*l = 16, 4 = 3*d - l. Let i be ((-14)/(-10) - 1)*5/1. Factor d - 7 + 9*w**i - 3*w**3 - 1 - 4.
-3*(w - 2)**2*(w + 1)
Let s = -226 - -229. Find d such that -23*d + 20*d - 18 + 12*d**2 - 3*d**s + 0*d**3 = 0.
-1, 2, 3
Let c be -3 - 288/(-1 - 2) - 5. Let i be -2 - 40/c*-6. Let -6/11 - 2/11*r**2 + i*r = 0. Calculate r.
1, 3
Factor -57/2*p + 42*p**2 - 5415 + 3/2*p**3.
3*(p - 10)*(p + 19)**2/2
Let y = 11886 + -11883. Let x(m) be the second derivative of -5/6*m**y + 0 - 3/4*m**4 + 1/4*m**5 + m**2 + 7/30*m**6 + m. Find z such that x(z) = 0.
-1, 2/7, 1
Let m(u) be the third derivative of 0*u - 25*u**2 + 0*u**4 + 0*u**3 - 2/15*u**5 + 1/6*u**6 + 1/84*u**8 - 8/105*u**7 - 3. Determine l so that m(l) = 0.
0, 1, 2
Let u be -70*(-20)/(-240) + (5 - -1). Let w(a) be the second derivative of -u*a**6 + 1/2*a**5 + 0 - 5/3*a