n + 135. Let k(z) = 5*a(z) - 2*d(z). Determine w so that k(w) = 0.
-1, 43
Let n(v) = 5*v**2 + 1426*v + 576. Let p(y) = -18*y**2 - 4276*y - 1728. Let t(m) = 16*n(m) + 5*p(m). Factor t(c).
-2*(c - 144)*(5*c + 2)
Let j(l) = -4*l**3 + 29*l**2 + 36*l + 6. Let a(x) = -20*x**3 + 148*x**2 + 184*x + 32. Let w(h) = 3*a(h) - 16*j(h). Let w(m) = 0. Calculate m.
-1, 0, 6
Let s(g) = g**2 - 2. Let b(j) = 2*j**2 - 218*j + 112. Let u(p) = b(p) + 2*s(p). Determine o, given that u(o) = 0.
1/2, 54
Factor -7678/5*z - 2/5*z**3 - 3842/5*z**2 - 3838/5.
-2*(z + 1)**2*(z + 1919)/5
Let h(p) = -49*p**2 - 1133*p + 5798. Let k(c) = -23*c**2 - 566*c + 2901. Let l(g) = 6*h(g) - 13*k(g). Solve l(y) = 0 for y.
-117, 5
Let y(i) = -i**5 - 4*i**4 - i**2 + 2. Let s(x) = -99*x**5 + 91*x**4 + 515*x**3 + 458*x**2 + 127*x. Let t(f) = s(f) + 3*y(f). Let t(j) = 0. Calculate j.
-1, -2/3, -1/2, -1/17, 3
Let v(i) be the second derivative of 0 + 7/3*i**3 - 15*i + 0*i**4 + 1/1260*i**6 + 1/210*i**5 + 0*i**2. Let s(p) be the second derivative of v(p). Factor s(z).
2*z*(z + 2)/7
Suppose -16*f + 14 = -2. Suppose -83*a + a**2 + 165*a - 2 - 84*a - f = 0. What is a?
-1, 3
Let w be 360/150 - (-4 + 8)/(2 + 8). Solve -2/3*u**4 + 2*u - 2*u**3 + 0 + 2/3*u**w = 0.
-3, -1, 0, 1
Suppose 6 = -5*j + 5*i - 9, j - 1 = -3*i. Let s be (-276)/(-506) - j/(-165)*12. Factor -36/5*u + s*u**2 + 162/5.
2*(u - 9)**2/5
Let v(c) be the first derivative of -1/6*c**2 - 51 - 2*c + 1/9*c**3. What is k in v(k) = 0?
-2, 3
Let q be (-4 - (-6)/2)/(5/(-15)). Solve 30*o**2 + 16*o + o**2 - 75*o**2 + 8*o**q + 20 = 0.
-1/2, 1, 5
Let x = 1121958 + -286097936/255. Let t = x + -62/15. Suppose -t - 10/17*g**2 - 54/17*g = 0. Calculate g.
-5, -2/5
Factor 97/4*m - 1/4*m**2 - 1/4*m**3 + 385/4.
-(m - 11)*(m + 5)*(m + 7)/4
Suppose -4118*i = 3*q - 4113*i - 165, -55 = -q - 4*i. Solve -10/3*z**2 + q*z + 85/3 = 0 for z.
-1/2, 17
Let c = -7/117051 + 117079/468204. Factor -15/4*w**2 + c*w**3 + 0 + 9*w.
w*(w - 12)*(w - 3)/4
Suppose -1600*p + 5360 = -2640. Factor -8*z + 14*z**2 + 0 + 1/2*z**p - 6*z**3 - 1/2*z**4.
z*(z - 2)**2*(z - 1)*(z + 4)/2
Suppose -93*j = -117*j + 120. Let p be ((-104)/48 + 3)/j. Factor -8/3 - 4/3*r - p*r**2.
-(r + 4)**2/6
Determine q so that -2/9*q + 2/9*q**3 - 12*q**2 + 12 = 0.
-1, 1, 54
Factor 3/8*n**2 + 69/4*n + 387/8.
3*(n + 3)*(n + 43)/8
Factor 169*g**2 + 12*g**3 - 14*g**3 - 57*g**2 + 16*g - 49*g**2 - 61*g**2 - 24.
-2*(g - 2)**2*(g + 3)
Let f be 25/(-600)*21*(512/(-280) - (-10)/25). Suppose -f*d**5 + 5 + 10*d - 25/4*d**4 - 35/4*d**3 + 5/4*d**2 = 0. What is d?
-2, -1, 1
Factor -16*c**4 - 4*c**5 + 132 - 62*c**2 - 10*c**2 - 24 - 595*c**3 + 491*c**3 + 108*c - 20*c**4.
-4*(c - 1)*(c + 1)*(c + 3)**3
Let g be ((-21774)/(-30))/(5/(-2) + 3). Let x = g - 1451. Factor -x*u**3 - 12/5 + 12/5*u**2 + 3/5*u.
-3*(u - 4)*(u - 1)*(u + 1)/5
Let q(c) be the second derivative of 3*c**5/20 - 49*c**4/2 + 1040*c**3 + 24336*c**2 + 4075*c. Solve q(t) = 0 for t.
-6, 52
Suppose 3*s = 11 + 79. Suppose -28 + 12 = n - 5*x, 3*x = 12. Determine m, given that 4*m**4 + 100*m - n*m**3 - s*m - 4*m**2 - 32*m - 34*m = 0.
-1, 0, 1
Find a, given that -1728/7 - 60/7*a**2 + 576/7*a + 2/7*a**3 = 0.
6, 12
Let k be (-5)/(-1) + 141 + -2. Let d = -99 + k. Suppose 90*y**4 + 35*y**3 + d*y - 2 + 2 - 95*y**4 - 75*y**2 = 0. Calculate y.
0, 1, 3
Suppose -2*n = -1 + 25. Let i be n/9 + 10/3. Determine f, given that 3*f**3 - 8*f**3 - f**i - 4*f**2 + 0*f**3 = 0.
-1, 0
Let a(p) be the second derivative of 11*p**7/441 + 31*p**6/105 + 97*p**5/105 - p**4/7 - 205*p**3/63 - 25*p**2/7 + 2133*p. Determine w, given that a(w) = 0.
-5, -3, -1, -5/11, 1
Let t be (0 - 4 - -1)/1 - -5. Let h = 9 - 5. Factor q**3 + t*q**4 + q**3 + 4*q**3 - 3*q**5 + q**h.
-3*q**3*(q - 2)*(q + 1)
Suppose -46*x - 6 = -48*x. Suppose x*o = -2*s + 7, 5*o - 5 = -5*s + 5. Let 0*h - 2/15*h**o + 0 - 4/15*h**2 + 2/5*h**4 = 0. What is h?
-2/3, 0, 1
Let n(g) be the third derivative of -17*g**2 - 1/12*g**5 - 95/12*g**4 - 185/6*g**3 + 0 - 5*g. Factor n(l).
-5*(l + 1)*(l + 37)
Let z(o) be the first derivative of -5*o**6/3 - 256*o**5/5 + 327*o**4/2 - 500*o**3/3 + 56*o**2 - 3599. Find a, given that z(a) = 0.
-28, 0, 2/5, 1
Solve 2/9*i + 1/9*i**4 + 4/9*i**3 + 0 + 5/9*i**2 = 0.
-2, -1, 0
Let x(i) be the second derivative of i**4/138 + 73*i**3/23 + 10*i - 51. Suppose x(v) = 0. Calculate v.
-219, 0
Suppose -3 + 17 = 7*d. Find a such that 4*a**4 + 234*a + 32*a**d + 15*a**3 + 5*a**3 - 218*a = 0.
-2, -1, 0
Let c(n) be the first derivative of -n**5/10 - 53*n**4/16 - 75*n**3/2 - 1309*n**2/8 - 605*n/2 + 4647. Let c(x) = 0. Calculate x.
-11, -5/2, -2
Let m(a) be the second derivative of a**5/140 + 11*a**4/84 - 76*a**3/21 - 7089*a. Find c, given that m(c) = 0.
-19, 0, 8
Let z(n) = -n**2 - 47*n + 1431. Let c be z(-68). Factor 2/9*g - 2/9*g**c + 4/9 - 4/9*g**2.
-2*(g - 1)*(g + 1)*(g + 2)/9
Factor -770/3*o + 1160/3*o**2 + 64 - 260*o**3 + 200/3*o**4 - 2/3*o**5.
-2*(o - 96)*(o - 1)**4/3
Let n(w) be the second derivative of -w**6/75 - w**5/5 + 23*w**4/6 - 16*w**3/3 - 204*w**2/5 + 2*w - 169. Suppose n(y) = 0. What is y?
-17, -1, 2, 6
Let n be 5/40*74*4. Suppose 4*y + 5 = n. Factor 3 - y - p**2 + 3*p**2 + 3*p**2 + 20*p**3 - 20*p.
5*(p - 1)*(p + 1)*(4*p + 1)
Let h(i) be the second derivative of -2*i**7/315 - i**6/75 + 2*i**5/25 + 7*i**4/90 - 2*i**3/15 - 80*i + 9. Suppose h(o) = 0. Calculate o.
-3, -1, 0, 1/2, 2
Let w = -449 - -447. Let c(o) = 3*o**3 + 38*o**2 - 129*o + 98. Let z(h) = -21*h**3 - 267*h**2 + 903*h - 690. Let x(r) = w*z(r) - 15*c(r). Factor x(n).
-3*(n - 2)*(n - 1)*(n + 15)
Let a(c) be the third derivative of -c**6/300 + 37*c**5/150 - 104*c**4/15 + 256*c**3/3 + 76*c**2 - 6*c. Factor a(o).
-2*(o - 16)**2*(o - 5)/5
Let c(r) = -2*r**3 - 63*r**2 - 28*r + 95. Let k be c(-31). Let b(x) = 56*x**2 - 46*x. Let g(v) = 2*v**3 + 2*v**2 + v. Let d(l) = k*g(l) - b(l). Factor d(p).
4*p*(p - 12)*(p - 1)
Let j(s) = -s**4 + 8*s**3 + 17*s**2 + 6*s. Let i = -76 + 74. Let y(n) = -n**3 - n**2 + n. Let d(a) = i*y(a) - j(a). Suppose d(h) = 0. What is h?
-1, 0, 8
Suppose 4*d - 6 = 14. Let g be 52/(-130) + (-124)/(-10) + -1. Determine j, given that d*j**5 - 13*j**4 + g*j**4 + 29*j**4 + 40*j**3 + 20*j**2 - 2*j**4 = 0.
-2, -1, 0
Suppose 5*b = -5*l + 140, 19 = -4*l + 4*b + 99. Find i, given that 562 - 12*i**2 + 16*i**2 - l*i + 222 + 136*i = 0.
-14
Suppose -151*w + 154*w = 162. Factor 4*u**3 - 225 - w*u**3 + 1548*u**2 + 5*u**4 - 1408*u**2 - 28*u - 2*u.
5*(u - 5)*(u - 3)**2*(u + 1)
Find k such that 0*k + 1/5*k**2 + 17/10*k**4 + 19/10*k**3 + 0 = 0.
-1, -2/17, 0
Let q = -201779/780 + 139/156. Let v = q + 261. Solve -32/5*r + 16/5 - 108/5*r**2 - 76/5*r**3 - v*r**4 = 0 for r.
-2, -1, 1/4
Suppose 9*k = -4*k + 858. Let z be (-6)/k*-2 + 97/11. Factor -z*r**3 + 2 + 14*r**3 - 2.
5*r**3
Let s = -370397/4 + 92600. Find x such that -s*x**3 - 1/4*x**2 - 1/4*x**5 - 3/4*x**4 + 0 + 0*x = 0.
-1, 0
Let p(c) be the second derivative of 0*c**2 - 1/30*c**6 + 226*c + 0*c**4 + 3/4*c**5 + 0 + 0*c**3. Determine x so that p(x) = 0.
0, 15
Let m be (-2)/((-18)/5) + (-52)/(-117). Let a(x) = 4*x**2 - 7*x - 6. Let q(w) = 2*w**2 - w + 2. Let j(z) = m*q(z) - a(z). Find y, given that j(y) = 0.
-1, 4
Factor -15*l**5 + 6594*l**4 - 90363*l**2 - 200037*l**2 - 778796*l**3 + 55436*l**3 - 53*l + 53*l.
-3*l**2*(l - 220)**2*(5*l + 2)
Let f(l) be the third derivative of l**6/60 - l**5/6 - 25*l**4/6 - 139*l**2 - 2*l. Determine g so that f(g) = 0.
-5, 0, 10
Let i(z) = z**2 + 19*z + 73. Let r be i(-14). Let j(k) be the first derivative of -7 + 2/3*k**r + k**2 - 4*k. Suppose j(n) = 0. What is n?
-2, 1
Factor 63 + 496*j + 92 + 100 + 164 + 4*j**3 + 253 + 88*j**2.
4*(j + 2)*(j + 6)*(j + 14)
Let q = 882 + -879. Find x, given that 49 + 451 - 6*x**q + 105*x**2 + 600*x + 9*x**3 + 2*x**3 = 0.
-10, -1
Solve -109*i - 3*i**3 + 11*i**2 + 240 - i**3 - 11*i**2 + 285*i + 20*i**2 = 0 for i.
-3, -2, 10
Let b(t) be the second derivative of -2/15*t**4 - 1/30*t**3 - 4*t + 1/100*t**5 + 4/5*t**2 - 3. Factor b(a).
(a - 8)*(a - 1)*(a + 1)/5
Let f(s) be the second derivative of 0*s**2 + 7/45*s**7 + 3/25*s**5 - 119/225*s**6 + 8/45*s**3 - 36*s + 0 + 22/45*s**4. Suppose f(g) = 0. Calculate g.
-2/7, 0, 1, 2
Suppose 5*d = -5, -5 = 3*g - 2*d + 11. Let h be 8/(-48) - g/4. Let 4/3 - h*i**2 - 2*i = 0. Calculate i.
-2, 1/2
Let x(f) be the second de