+ 228*k + k**n - 2*k**2 + 0*k**2 - 4*k**2 = 0.
0, 76
Let x be -1 - (-5 - -3 - -4). Let q be x*21/(-14)*24920/18. Suppose 2*r**2 - 2 + 8 + 6228*r**3 - q*r**3 + 10*r = 0. Calculate r.
-1, 3
Let s = 32691/14 - 32595/14. Factor -s*g - 576/7 - 1/7*g**2.
-(g + 24)**2/7
Let y be ((-4)/2)/(-6 + (-392)/(-70)). Let i(u) be the third derivative of -3*u**2 + 0*u + 1/30*u**y + 1/12*u**4 + 0 + 0*u**3. Suppose i(c) = 0. What is c?
-1, 0
Factor -264*u**2 - 174*u**2 - 500*u + 731*u**2 + 96 + 52*u**3 + 59*u**2.
4*(u - 1)*(u + 8)*(13*u - 3)
Let v(d) be the third derivative of -148*d**2 - 1/720*d**6 + 0 + 1/24*d**4 - 1/360*d**5 + 0*d**3 + 0*d. Factor v(a).
-a*(a - 2)*(a + 3)/6
Let b(m) be the first derivative of 3*m**5/25 - 81*m**4/20 - m**3/5 + 81*m**2/10 - 944. Determine f, given that b(f) = 0.
-1, 0, 1, 27
What is w in 2439*w - 2025*w + 3*w**4 - 11214*w - 147*w**3 + 2280*w**2 = 0?
0, 9, 20
Factor 927/2 + 3/2*h**2 - 159*h.
3*(h - 103)*(h - 3)/2
Let m(c) = 61*c**3 - 1876*c**2 + 13*c - 13. Let z(b) = -42*b**3 + 1251*b**2 - 9*b + 9. Let w(n) = 9*m(n) + 13*z(n). What is p in w(p) = 0?
0, 207
Let p = 915007/7 - 130715. Factor 720/7*j - 648/7 + p*j**3 - 74/7*j**2.
2*(j - 18)**2*(j - 1)/7
Let y = 347/18 + -172/9. Let j(p) be the first derivative of 8/3*p**2 + y*p**4 - 10/9*p**3 + 15 - 8/3*p. Factor j(u).
2*(u - 2)**2*(u - 1)/3
Let u(y) be the third derivative of 0*y**4 - 18*y + 0 + 6*y**5 - y**2 + 0*y**3 - 1/420*y**8 - 11/10*y**6 - 8/75*y**7. Factor u(c).
-4*c**2*(c - 2)*(c + 15)**2/5
Let x(g) = -1127*g**2 + 400*g - 36. Let a(i) = 16*i**2 - i - 2. Let s(z) = 14*a(z) - x(z). Factor s(u).
(7*u - 2)*(193*u - 4)
Let i(w) = 7*w**2 + 47*w - 9. Let z be i(-7). Determine h so that -2*h**2 + 5*h**2 - 3*h**4 + 3*h**z + 5*h**5 - 7*h**5 - 2*h + h**3 = 0.
-1, 0, 1, 2
Let t = -1741 + 1207. Let a be 623/t + 8/6. Factor 1/3*d**3 - 2/3*d - a*d**4 + 1/2*d**2 - 2/3.
-(d - 2)**2*(d + 1)**2/6
Let b(n) be the third derivative of n**6/660 + 97*n**5/165 - 5895*n**2. Factor b(i).
2*i**2*(i + 194)/11
Let a(s) be the third derivative of -s**8/280 + 13*s**7/350 - s**6/200 - 31*s**5/100 + 3*s**4/40 + 9*s**3/5 + 2732*s**2. Find v, given that a(v) = 0.
-1, 1, 3/2, 6
Let p(m) = 3*m**2 - 6. Let a(c) = -15*c**2 - 597*c - 279. Let l(y) = -a(y) - 3*p(y). Factor l(z).
3*(z + 99)*(2*z + 1)
Let s(q) = 24*q**3 - 513*q**2 - 3*q + 12. Let f(v) = 71*v**3 - 1539*v**2 - 8*v + 32. Let p(c) = 3*f(c) - 8*s(c). Factor p(h).
3*h**2*(7*h - 171)
Let n = -82 - -100. Factor n*k + 0*k**5 - 442*k**4 + 39*k**2 + 29*k**3 + 451*k**4 + k**5.
k*(k + 1)*(k + 2)*(k + 3)**2
Suppose -146/7*f**4 - 1/7*f**5 + 0 + 146/7*f**2 - 21*f + 148/7*f**3 = 0. Calculate f.
-147, -1, 0, 1
Let h(x) be the first derivative of -x**6/51 + 16*x**5/85 - 9*x**4/17 + 32*x**3/51 - 5*x**2/17 - 2158. Determine q so that h(q) = 0.
0, 1, 5
Let z(k) = 3*k**3 - 225*k**2 + 4548*k - 8226. Let n(i) = 3*i**3 - 224*i**2 + 4547*i - 8230. Let o(b) = 3*n(b) - 4*z(b). Suppose o(d) = 0. What is d?
2, 37
Let r = -379 + 522. Suppose 2*o = r*p - 141*p, 2*p - 12 = -4*o. Suppose -9*u - 15/2 - 3/2*u**p = 0. What is u?
-5, -1
Let r be 1 - 1971/6 - -1. Let x = r - -330. Factor -3 - 23/2*j - x*j**2.
-(j + 3)*(7*j + 2)/2
Factor -664*f**2 - 31*f**2 + 254*f**2 - 4 + 84*f.
-(21*f - 2)**2
Let k(c) be the first derivative of 25*c**2 + 2/3*c**3 + 48*c + 33. Find g, given that k(g) = 0.
-24, -1
Let z(j) = -36*j**4 - 16*j**3 + 172*j**2 + 24*j - 16. Let y(q) = -7*q**4 - 3*q**3 + 33*q**2 + 5*q - 3. Let v(c) = -16*y(c) + 3*z(c). What is a in v(a) = 0?
-1, 0, 2
Let i(l) = 84*l**2 + 260*l - 2976. Let h(t) = 16*t**2 + 52*t - 593. Let o(p) = 16*h(p) - 3*i(p). Solve o(d) = 0 for d.
-20, 7
Factor 1548 - 702*w - 111*w**2 + 1170 + 2*w**4 + 14*w**3 + 2142 - 63*w**2.
2*(w - 6)*(w - 5)*(w + 9)**2
Let n(z) be the first derivative of -46 - 15*z**2 - 85/3*z**3 - 25/4*z**4 + 0*z. Let n(j) = 0. Calculate j.
-3, -2/5, 0
Let s(t) be the second derivative of -t**4/48 + 859*t**3/24 + 206*t - 8. Suppose s(i) = 0. What is i?
0, 859
Let l(s) be the third derivative of -s**8/168 + 41*s**7/525 - 31*s**6/100 + 67*s**5/150 - s**4/6 + 31*s**2. Let l(r) = 0. Calculate r.
0, 1/5, 1, 2, 5
Suppose -84/19 + 188/19*g**2 + 14/19*g**3 - 118/19*g = 0. What is g?
-14, -3/7, 1
Let l = -51009 - -51009. Find w, given that -169/6*w**3 - 13/3*w**4 - 1/6*w**5 + l*w + 0 + 0*w**2 = 0.
-13, 0
Let u(z) be the first derivative of -z**3/12 + 453*z**2/4 + 907*z/4 - 3077. Solve u(v) = 0 for v.
-1, 907
Let u = 167 + -164. Suppose -18*h**u - 26*h - 3*h**3 + 11*h + 33*h**2 + 3*h**4 + 0*h**2 = 0. Calculate h.
0, 1, 5
Let w(q) be the second derivative of q**5/390 + 7*q**4/156 + 2*q**3/13 + 7*q**2 - 2*q - 46. Let s(o) be the first derivative of w(o). Factor s(z).
2*(z + 1)*(z + 6)/13
Let j(x) be the third derivative of 11*x**5/60 + 14*x**4/3 + 10*x**3/3 - 2*x**2 - 1487. Factor j(m).
(m + 10)*(11*m + 2)
Let w = 164124/11 + -14914. Determine n, given that 32/11*n**2 + 36/11 - w*n + 2/11*n**3 = 0.
-18, 1
Let k(r) be the second derivative of r**6/75 - 7*r**5/25 - 34*r**4/15 - 24*r**3/5 + 30*r + 8. Determine j, given that k(j) = 0.
-2, 0, 18
Solve -530/11*x + 2/11*x**2 + 1572/11 = 0 for x.
3, 262
Factor -10476*y**2 - 16848 - 991*y**5 - 1734*y**3 - 116*y**4 + 502*y**5 + 487*y**5 - 25704*y.
-2*(y + 1)*(y + 6)**3*(y + 39)
Let l be (2/(-3))/(1/(-6)). Let n(i) = -i + 21. Let v be n(l). Solve 12*r**2 - 16*r + r**3 - 2*r**3 + 18 + 4*r**3 - v*r = 0.
-6, 1
Suppose 86 + 74 + 191*h**2 + 28*h - 96*h**2 - 94*h**2 = 0. Calculate h.
-20, -8
Let w(p) = -p**2 + p - 2. Let a(o) = -o**2 + 105*o - 36 - 11*o**2 - 36 - 133*o. Let r(c) = -2*a(c) + 28*w(c). Factor r(q).
-4*(q - 22)*(q + 1)
Let r = 197807/14311 + -5/1301. Let g = 707/44 - r. Factor -g - 15/4*z**2 + 21/4*z + 3/4*z**3.
3*(z - 3)*(z - 1)**2/4
Let j(o) be the first derivative of -o**7/2520 + o**6/1080 + o**5/72 + o**4/24 - 28*o**3 - 27. Let r(t) be the third derivative of j(t). Factor r(h).
-(h - 3)*(h + 1)**2/3
Let k = 20181/2 + -10090. Factor -2*p**2 + k*p**3 - 1 + 5/2*p.
(p - 2)*(p - 1)**2/2
Let r(i) = -i**2 + 3*i + 32. Let h be r(-4). Factor 32*k**5 - 4 + 0 - 37*k**5 - 35*k**h + 4.
-5*k**4*(k + 7)
Determine x, given that -524*x**2 + 337*x + 75 - 101 + 217*x - 118 + 130*x - 76*x**3 + 60*x**4 = 0.
-3, 4/15, 1, 3
Let y(p) = -p - 6. Let v be y(0). Let w be v*1*((-5)/15)/1. Find d, given that 4*d + 4*d**w - 57 + 33 + 0*d = 0.
-3, 2
Let y(v) = -4*v**3 + 222*v**2 + 28*v - 882. Let f(c) = -16*c**3 + 889*c**2 + 118*c - 3529. Let n(u) = -2*f(u) + 9*y(u). Find j, given that n(j) = 0.
-2, 2, 55
Let q = -204579 - -204581. Factor 25/2*i - 5/4*i**3 + 15/4*i**q + 0.
-5*i*(i - 5)*(i + 2)/4
Let k(q) = -24*q**2 - 4*q + 24. Let t(x) = -x**3 + x**2 + x - 4. Let n be t(0). Let o(y) = -y**3 - y**2 + 1. Let a(v) = n*o(v) + k(v). Factor a(m).
4*(m - 5)*(m - 1)*(m + 1)
Let b be ((-14)/(-84))/(80/3). Let w(d) be the second derivative of -1/12*d**3 + b*d**5 - 17*d + 1/240*d**6 - 1/24*d**4 + 0*d**2 + 0. Factor w(j).
j*(j - 2)*(j + 1)*(j + 2)/8
Suppose -6 = -3*t - 2*d, -1 - 10 = t + 5*d. Let f be (-328)/(-4) - t/2. Let z - f*z**3 + z**4 - z**2 + 81*z**3 - 2*z = 0. What is z?
-1, 0, 1
Factor 0 + 18/5*a + 1/5*a**2.
a*(a + 18)/5
Let j(c) be the third derivative of 3/80*c**5 - 1/4*c**3 + 2*c + 0 - 1/32*c**4 - 25*c**2. Factor j(m).
3*(m - 1)*(3*m + 2)/4
Let o(q) be the first derivative of -q**6/6 + 2*q**5/5 - q**4/4 - 1050. Factor o(j).
-j**3*(j - 1)**2
Let i be (-33)/(-11) - 2*-3. Determine j so that 89*j**4 + i*j**2 + 0*j**2 - 2*j + 2*j**3 + 98*j**4 - 8 - 188*j**4 = 0.
-2, -1, 1, 4
Factor -348 - 40*j + 17*j + 51*j**2 - 76*j - 54*j**2.
-3*(j + 4)*(j + 29)
Let x = -3998 + 4012. Let k(z) be the third derivative of 0*z**7 + x*z**2 + 0 + 1/168*z**4 + 0*z - 1/420*z**6 + 0*z**3 + 1/2352*z**8 + 0*z**5. Solve k(u) = 0.
-1, 0, 1
Let z(g) be the first derivative of 3/4*g**4 + 0*g + 67 - 7/20*g**5 + 1/24*g**6 + 0*g**2 + 0*g**3. Factor z(m).
m**3*(m - 4)*(m - 3)/4
Let c(l) be the first derivative of -l**4/10 - 118*l**3/15 - 98*l**2 - 2376. Suppose c(i) = 0. Calculate i.
-49, -10, 0
Suppose 71 = -4*r + 83. Factor -13*i**2 - 9 + 12*i + 17 - 8 + i**r.
i*(i - 12)*(i - 1)
Let t(u) be the third derivative of 32*u**2 - 5/102*u**4 - 1/510*u**5 - 16/51*u**3 + 0 + 3*u. Factor t(x).
-2*(x + 2)*(x + 8)/17
Let j be (18/(-120)*-2)/(13/(104/48)). Let l(i) be the thi