42. Let h(z) = c*s(z) - 10*w(z). Solve h(m) = 0.
-4, 0, 1
Let m(d) be the third derivative of -19*d**5/110 + 227*d**4/132 + 4*d**3/33 + d**2 - 101*d - 3. Factor m(y).
-2*(y - 4)*(57*y + 1)/11
Let r(v) = 17*v**2 + 1830*v - 1844. Let k(i) = 29*i**2 + 3660*i - 3684. Let g(t) = 3*k(t) - 5*r(t). Factor g(p).
2*(p - 1)*(p + 916)
Let t = -220521 + 220524. Suppose 0 + 192/5*o**2 + 3/5*o**4 + 0*o - 48/5*o**t = 0. What is o?
0, 8
Let l(v) be the second derivative of v**5/10 + 11*v**4/6 + 16*v**3/3 - 84*v**2 + 1899*v. Factor l(q).
2*(q - 2)*(q + 6)*(q + 7)
Let v(d) be the first derivative of -20*d - 55/4*d**4 - 10*d**2 - 5*d**5 + 5/2*d**6 + 35*d**3 + 72. Find r such that v(r) = 0.
-2, -1/3, 1, 2
Let g(k) be the first derivative of -k**3/27 - 7*k**2/9 + 5*k/3 - 1394. Factor g(f).
-(f - 1)*(f + 15)/9
Let q(p) = 2*p**3 - p**2 - p + 2. Let i(g) = g**4 - 276*g**3 + 20652*g**2 - 502916*g - 3816360. Let t(o) = -5*i(o) - 60*q(o). Let t(m) = 0. What is m?
-6, 86
Let c(h) be the second derivative of 0*h**2 + 5/48*h**4 - 5/3*h**3 + 96*h + 0. Factor c(p).
5*p*(p - 8)/4
Let z be (-1)/2*((-25860)/8)/(-15). Let r = z + 219/2. What is a in -r*a - 3/4*a**2 - 1/2 = 0?
-2, -1/3
Let a be 4*5/(-60)*2*(-30)/700. Let r(w) be the second derivative of -18*w + 0 + 0*w**2 - 1/21*w**4 - a*w**5 + 0*w**3. Factor r(j).
-4*j**2*(j + 1)/7
Suppose r - 26 - 19 = 5*d, 5*d - 30 = -2*r. Suppose 5*s - m = 59, m = -2*s - 0*s + r. Solve 2*i**3 + 2*i**3 + 8*i**3 - s*i**2 - 8*i**3 = 0 for i.
0, 3
Let m(f) be the second derivative of -f**6/60 + f**5/2 - 17*f**4/24 - 19*f**3/6 + 33*f - 2. Factor m(q).
-q*(q - 19)*(q - 2)*(q + 1)/2
Let k(z) = 10*z**4 - 50*z**3 + 86*z**2 - 64*z + 6. Suppose -4*v + 83 - 107 = 0. Let j(u) = -u**4 + 3*u**3 - u**2 - 1. Let q(t) = v*j(t) - k(t). Factor q(d).
-4*d*(d - 4)*(d - 2)**2
Factor -227*d**2 + 368*d**4 + 97*d**4 - 18723 + 20979*d + 6680*d + 3*d**5 + 28036*d + 17310*d**3 - 54523*d**2.
3*(d - 1)**3*(d + 79)**2
Let r be 2/5 - 227799/(-65). Suppose 0*k**4 + 8*k**3 - 8*k + r - 3501 - 4*k**4 = 0. Calculate k.
-1, 1
Let c(l) be the second derivative of -l**4/120 + 271*l**3/60 - 269*l**2/10 - 6035*l. Let c(d) = 0. What is d?
2, 269
Let y be (35/4)/(17 - 1608/96). Let o(t) be the second derivative of -4/15*t**3 - 1/30*t**4 + y*t + 0 - 3/5*t**2. Factor o(f).
-2*(f + 1)*(f + 3)/5
Suppose a + 59 = -2*o + 61, 2*o - 10 = -5*a. Let y(i) be the second derivative of 0*i**a - 8/9*i**4 - 4/9*i**3 - 7/30*i**5 + 0 + 20*i. Solve y(s) = 0 for s.
-2, -2/7, 0
Factor -18*i**3 + 6867*i - 3319*i - 75 - i**4 - 36*i**2 - 3418*i.
-(i - 1)**2*(i + 5)*(i + 15)
Let i(v) be the second derivative of -256/5*v**2 + 11/25*v**6 + 223/30*v**4 - 287/50*v**5 - 146*v + 96/5*v**3 - 1/105*v**7 + 0. What is a in i(a) = 0?
-1, 1, 16
Let h = -618 - -659. Suppose 0 = 55*r - h - 69. Determine s so that -16/9*s**5 + 172/9*s**4 - 28/9*s + 292/9*s**r - 388/9*s**3 - 32/9 = 0.
-1/4, 1, 8
Let v(s) = 2632*s + 576411. Let j be v(-219). Let 94/5*b**2 + 2/5*b**j + 92/5*b + 0 = 0. What is b?
-46, -1, 0
Let w(t) = 26372*t - 474692. Let a be w(18). Determine g, given that 2/3*g**5 + 154/3*g**2 + 22*g**3 - 26/3*g**a + 0 - 196/3*g = 0.
-2, 0, 1, 7
Let j(n) = -42*n - 963. Let k be j(-23). Factor 6/5*d**2 + 0 - 4/5*d - 2/5*d**4 + 0*d**k.
-2*d*(d - 1)**2*(d + 2)/5
Let x(p) be the third derivative of 0 + 5/18*p**4 + 2/15*p**5 - 11/9*p**3 - 1/18*p**6 + 0*p - 1/315*p**7 - 87*p**2. Determine o so that x(o) = 0.
-11, -1, 1
Let f = -597 + 163. Let c = f + 436. Determine y so that 3/8*y**3 + 0 + 3/4*y**c + 3/8*y = 0.
-1, 0
Let j(h) be the second derivative of -5*h**7/56 - 23*h**6/10 - 1563*h**5/80 - 547*h**4/8 - 215*h**3/2 - 75*h**2 + 2018*h. Solve j(x) = 0 for x.
-10, -5, -2, -1, -2/5
Let j(h) be the first derivative of 3*h**5/5 + 6*h**4 + 23*h**3 + 42*h**2 + 36*h + 152. What is f in j(f) = 0?
-3, -2, -1
Let i(w) be the third derivative of -w**8/840 - 3*w**7/350 - w**6/600 + w**5/25 - w**2 - 558*w. Let i(g) = 0. Calculate g.
-4, -3/2, 0, 1
Let g(s) be the second derivative of -s + 5/14*s**4 - 1/35*s**6 - 4 + 1/14*s**5 - 4/21*s**3 - 1/147*s**7 - 12/7*s**2. Let g(n) = 0. What is n?
-3, -2, -1, 1, 2
Let o(p) = -p**2 - p - 1. Suppose 5*d = 669 - 84. Let n be d/(-52)*(-8)/3. Let t(u) = 8*u**2 + 10*u + 8. Let m(r) = n*o(r) + t(r). Determine a so that m(a) = 0.
-1
Let y(n) be the first derivative of -n**4/3 - 352*n**3/9 + 182*n**2/3 + 712*n/3 - 138. Factor y(a).
-4*(a - 2)*(a + 1)*(a + 89)/3
Suppose -10*z + 20 = -80. Suppose -z*g + 26 = -4. Solve 2 + 3*p - 1/2*p**2 + 0*p**4 - 7/4*p**g + 1/4*p**5 = 0 for p.
-2, -1, 2
Factor -96*z - 136*z**2 - 25*z**4 - 44*z**3 + 8*z**4 + z**4 + 12*z**4.
-4*z*(z + 1)*(z + 4)*(z + 6)
Let k(m) = -23*m**2 + 1095*m - 1096. Let q(r) = 52*r**2 - 2190*r + 2192. Let t(x) = -9*k(x) - 4*q(x). What is v in t(v) = 0?
-1096, 1
Suppose -2*s - 10 = -18. Solve 5*f + 10*f**3 - 15*f - 2*f**4 - 3*f**s + 5 = 0 for f.
-1, 1
Let t(x) be the second derivative of 2/5*x**5 + 0*x**2 + 0*x**3 + x**4 - 1/42*x**7 - 103*x - 1/30*x**6 + 0. Find p such that t(p) = 0.
-2, 0, 3
Let o(f) = 9*f**2 - 762*f + 3977. Let u(a) = -43*a**2 + 3044*a - 15909. Let m(c) = 9*o(c) + 2*u(c). Let m(d) = 0. Calculate d.
-159, 5
Let d(j) be the third derivative of 2*j**7/105 - 196*j**6/15 + 2561*j**5 + 196*j**4/3 - 76832*j**3/3 + 37*j**2 - 3. Let d(r) = 0. What is r?
-1, 1, 196
Let q(t) be the second derivative of -96*t**2 - 3*t - 13 - 2/21*t**7 - 16/3*t**4 + 14/15*t**6 - 12/5*t**5 + 128/3*t**3. Factor q(p).
-4*(p - 3)*(p - 2)**3*(p + 2)
Let l = -15/334 + 1741/9018. Let d(y) be the first derivative of -8/45*y**5 + 0*y**2 + 0*y - l*y**3 + 21 + 5/18*y**4 + 1/27*y**6. Factor d(k).
2*k**2*(k - 2)*(k - 1)**2/9
Suppose -2*u + 8 = -l + 3*l, 4 = -2*l + u. Suppose 0 = -4*a + 19*p - 20*p + 22, 3*a + p = 17. Factor 2/3*w + 0*w**4 + 16/9*w**2 - 2/9*w**a + 4/3*w**3 + l.
-2*w*(w - 3)*(w + 1)**3/9
Suppose -3*d = d + 4*q + 12, 2*d + 5 = -q. Let u be ((-5)/d)/(4/8) + -3. Determine v so that 3*v**3 + 18*v**4 + v**5 - u*v**3 - 20*v**4 = 0.
0, 1
Determine x, given that 4*x + 899 + 8*x + 28*x + 2*x**2 - 899 = 0.
-20, 0
Let n(k) = 9*k**3 - 10*k**2 + 14*k + 882. Let l(p) = -p**3 - 24*p. Let t(m) = -14*l(m) - 2*n(m). Suppose t(c) = 0. What is c?
-9, 7
Let n = 16633 - 16633. Let a(m) be the first derivative of 0*m + 23/4*m**4 + n*m**2 + 7/5*m**5 + 2*m**3 + 13. Factor a(x).
x**2*(x + 3)*(7*x + 2)
Let s(g) = 18*g**4 - 111*g**3 - 51*g**2 + 18*g. Let r(a) = 9*a**4 - 56*a**3 - 25*a**2 + 8*a. Let y(v) = 9*r(v) - 4*s(v). Suppose y(q) = 0. Calculate q.
-1/3, 0, 7
Let k(y) be the first derivative of y**5/25 - y**4/2 + 3*y**3/5 + 26*y**2/5 + 32*y/5 + 125. Find d such that k(d) = 0.
-1, 4, 8
Let y be (72/(-60))/(3/((-9)/(-27)*-115)). Factor -2/3*z**3 - 80*z + 96 - y*z**2.
-2*(z - 1)*(z + 12)**2/3
Let u(y) = -3*y**3 + 15*y**2 + 32*y - 10. Let q(l) = -2*l**3 + 16*l**2 + 32*l - 8. Let w(s) = -5*q(s) + 4*u(s). Factor w(m).
-2*m*(m + 2)*(m + 8)
Suppose 3*a - k - 7 = 2*a, k - 5 = -5*a. Factor 11*z**3 + 46*z**4 - z**3 - 47*z**4 - 15*z**a - 10*z**2.
-z**2*(z - 5)**2
Let v = 48314/470301 - 2/12059. Let n(z) be the first derivative of -4/13*z + 1/26*z**4 + v*z**3 - 11 - 1/13*z**2. Solve n(j) = 0 for j.
-2, -1, 1
Suppose 2*n - 5*n = -6. Solve 11*x**2 + 68*x - 21*x**2 + 578 + 12*x**n = 0.
-17
Factor -115/4 - 9/2*g + 1/4*g**2.
(g - 23)*(g + 5)/4
Let b(l) = 12*l**2 + 6*l - 814. Let p be b(8). Factor -4/9*g - 1/9*g**p + 1/9*g**3 + 4/9.
(g - 2)*(g - 1)*(g + 2)/9
Suppose 242*i + 40 = 246*i. Factor -64*a**2 + 7*a + 111*a - 13*a**4 + i*a + 21*a**4 - 24*a**3 + 2*a**5.
2*a*(a - 2)**2*(a + 4)**2
Solve 0*g - 1/4*g**5 + 0*g**2 + 9/4*g**3 + 0*g**4 + 0 = 0.
-3, 0, 3
Factor 641 + 1576*t - 3982*t + 1166 + 596 + 5 - 2*t**2.
-2*(t - 1)*(t + 1204)
Let c be -1 + 0 - 30/(-26). Suppose -557 - 17 = -148*h - 139*h. Factor -2/13*o**h + c*o + 4/13.
-2*(o - 2)*(o + 1)/13
Let f(b) be the second derivative of -b**4/30 + 27*b**3/5 - 584*b**2/5 + 4*b - 276. Factor f(y).
-2*(y - 73)*(y - 8)/5
Let a be 62/341 + (-141)/(-11). Let 32 - p + 11*p - 4*p**2 - a*p + 3*p + 8*p = 0. Calculate p.
-2, 4
Let o(j) be the second derivative of -7*j**6/240 + 11*j**5/40 + 5*j**4/24 - 30*j**2 + 27*j + 2. Let z(y) be the first derivative of o(y). Factor z(d).
-d*(d - 5)*(7*d + 2)/2
Suppose 5*a - 506 = 1334. Let m be (46/a)/((-21)/12 + 2). Factor -1/2 - m*o**2