= 0. Calculate q.
-2, -1, 1, 37
Factor -226*j + 39*j**2 - 297*j + 478*j - 66.
3*(j - 2)*(13*j + 11)
Let l(i) be the second derivative of -9*i**4/20 + i**3/10 - i - 380. Factor l(x).
-3*x*(9*x - 1)/5
Let d be 0 - (2 - (-9)/(-4)). Let k be 1*-16*57/(-304). Factor 0*c + 0 + 0*c**2 + d*c**k.
c**3/4
Let l(r) = -112 - r + 102 - 6*r - r**2. Let y be l(-4). Factor 12*i**3 + 16*i + 14 + 10*i**y + 30*i**2 - 46.
4*(i + 2)**2*(3*i - 2)
Let y be 2/11 + (-3990)/(-77). Suppose 148 = 3*b - 0*r - 2*r, 2*r = b - y. Let 16*p**4 + 12 - 5*p - 37*p - 12*p**2 + b*p**3 + 10*p = 0. Calculate p.
-3, -1, 1/2
Let m(h) be the first derivative of 5*h**3/3 + 655*h**2/2 + 4340*h + 1840. Factor m(i).
5*(i + 7)*(i + 124)
Factor -6*g + 114 - 11*g**2 + 9*g + 14*g**2 - 174.
3*(g - 4)*(g + 5)
Let g(w) = 68*w + 346. Let a be g(-9). Let v be 76/a + 16/7. Factor 0 + 6/5*d + 2/5*d**v.
2*d*(d + 3)/5
Suppose -5125*i + 2058 + 5796 + 520 = -1876. Find z, given that -4/13*z + 70/13 - 2/13*z**i = 0.
-7, 5
Let o(n) be the second derivative of 147*n**5/5 - 721*n**4/3 + 2480*n**3/9 + 7688*n**2/3 - 3*n + 1006. Solve o(m) = 0 for m.
-1, 62/21
Let r(a) be the first derivative of 100/7*a - 95/7*a**2 + 116/35*a**5 - 60 - 1/3*a**6 - 536/21*a**3 - 29/7*a**4. Determine z so that r(z) = 0.
-1, 2/7, 5
Let j be ((-60)/(-42))/((-2)/(-5656)*4). Factor j*c - 5*c**3 - 960*c + 5*c**2 + 1 + 39.
-5*(c - 4)*(c + 1)*(c + 2)
Let t(v) be the second derivative of -18*v**2 - 29/6*v**4 - 19 - 13*v**3 - 1/15*v**6 - 2*v - 9/10*v**5. Solve t(n) = 0 for n.
-3, -2, -1
Let c be 40/(-12)*(28/(-8) + 2). Let m(z) = -23*z**2 + 31*z - 1. Let h(d) = -d**2 + 2*d + 1. Let b(k) = c*h(k) - m(k). Factor b(t).
3*(2*t - 1)*(3*t - 2)
Let t(i) = 3*i**4 + 18*i**3 - 27*i**2 + 42*i + 4. Let g(y) = -5*y**4 - 26*y**3 + 52*y**2 - 84*y - 7. Let x(a) = 4*g(a) + 7*t(a). Solve x(n) = 0.
-21, -2, 0, 1
Let i(t) be the first derivative of -t**6/24 + 49*t**5/20 + 51*t**4/8 + t**3/6 - 101*t**2/8 - 51*t/4 - 2670. Factor i(q).
-(q - 51)*(q - 1)*(q + 1)**3/4
Let r(h) be the second derivative of 0*h**2 - 1 - 5/8*h**3 - 5/168*h**7 - 1/4*h**6 + 10*h - 25/24*h**4 - 3/4*h**5. Find o such that r(o) = 0.
-3, -1, 0
Let j = -1385/6 + 231. Let u(k) be the second derivative of 3*k - 1/20*k**5 - j*k**3 - 1/6*k**4 + 0 + 0*k**2. Factor u(r).
-r*(r + 1)**2
Let f(n) be the third derivative of n**6/60 + 19*n**5/30 + 5*n**4 + 661*n**2. Let f(u) = 0. What is u?
-15, -4, 0
Let g(a) be the third derivative of a**5/90 - 47*a**4/18 - 95*a**3/9 + 1124*a**2. Suppose g(q) = 0. Calculate q.
-1, 95
Let v be (-24)/30 - (-38)/10. Suppose 2*x - 7 - 15 = 2*b, -x - 3*b - 9 = 0. What is w in v*w**4 + 58*w - 3*w**4 + 15*w**3 - 73*w - 6*w**4 + x = 0?
-1, 1/2, 1, 2
Let z(d) be the third derivative of -d**6/60 + 29*d**5/30 + 65*d**4/12 - 31*d**3 - 5*d**2 + 8*d - 5. Factor z(v).
-2*(v - 31)*(v - 1)*(v + 3)
Suppose -s - 3*r = -138, 2*s - r - 130 = s. Suppose -s + 5*t**3 + 25*t**2 - 155 + 302 + 35*t = 0. Calculate t.
-3, -1
Let m(j) be the second derivative of 7*j**4/18 + 5*j**3/54 - 44*j - 9. Factor m(f).
f*(42*f + 5)/9
Suppose 0 = -634*u + 1825 + 1077 - 1000. Factor 8/5 + 4*k + 16/5*k**2 + 4/5*k**u.
4*(k + 1)**2*(k + 2)/5
Let r(t) = -t**3 + 10*t**2 - 7*t - 5. Let v be r(7). Let g be (-6)/(-48) + v/24. Factor -10*k + g*k**3 - 15*k**2 - 5*k**3 - 4*k**3.
-5*k*(k + 1)*(k + 2)
Suppose 7*g - 8 - 6 = 0. Factor -2*s**5 + 2*s - 3 + 7*s**4 - 3*s**4 - 5372*s**g + 3 + 5368*s**2.
-2*s*(s - 1)**3*(s + 1)
Suppose 29*d - 30*d + 14163 = 4*y, -d = -2*y + 7089. Suppose 0 = y*p - 3535*p - 14. Factor f**3 + 49/4 + 91/2*f - 55/4*f**p.
(f - 7)**2*(4*f + 1)/4
Let p(k) = -2*k - k**3 + 8*k - 5*k**2 - 4*k**2 + 68 - 79 + 69. Let y be p(-9). Find t such that 0*t**2 + 8/17*t**3 + 24/17*t**y + 0*t + 18/17*t**5 + 0 = 0.
-2/3, 0
Let y(w) be the third derivative of -w**5/150 - 11*w**4/12 - 18*w**3/5 + 38*w**2 - 91. Factor y(s).
-2*(s + 1)*(s + 54)/5
Let m(l) = -l**2 + 12*l - 13. Let p be m(9). Factor 3*c**2 - p*c + 12 - 5*c + 12*c - 5*c.
3*(c - 2)**2
Solve 3*z**3 - 255*z + 36*z**2 - 307686 + 153841 + 153845 = 0.
-17, 0, 5
Let t = 204 - 193. Let w be 3/(-27) + -3 + -5 + t. Factor -32/3*d + w*d**2 - 2/9*d**3 + 8.
-2*(d - 6)**2*(d - 1)/9
Suppose g = 4*i - 2, -2*g + 79*i + 9 = 84*i. Let j = 0 + 3. Factor -1/2*o**4 - 2*o**j + 2*o**g + 0 + 0*o + 1/2*o**5.
o**2*(o - 2)*(o - 1)*(o + 2)/2
Suppose 1590*r + k = 1592*r - 16, 0 = -r + k + 14. Factor 3/5*z**r + 8112/5 + 312/5*z.
3*(z + 52)**2/5
Let h(g) = -33*g**4 - 111*g**3 - 18*g**2. Let a(i) = -i**3. Let t(r) = -6*a(r) + h(r). Let t(b) = 0. What is b?
-3, -2/11, 0
Let h be (4 - 44/16)/(7 + (-18416)/2688). Solve 18*x + 46/5 + h*x**2 - 2/5*x**3 = 0 for x.
-1, 23
Find d, given that 93/2*d**2 + 51/2*d**3 + 0 + 45/2*d + 3/2*d**4 = 0.
-15, -1, 0
Let k be 70/168*-6*3/(-5). Let m be (-29)/8 - (-12)/(-1 + 4). Factor k*r - 3/2 - m*r**2.
-3*(r - 2)**2/8
Let f = 3397906/32259 + 14/10753. Factor 184/3*k - 107/3*k**4 + 16/3 - 136*k**2 + f*k**3 + 9/2*k**5.
(k - 2)**4*(27*k + 2)/6
Let o(y) be the third derivative of y**8/168 + 2*y**7/35 + 13*y**6/60 + 2*y**5/5 + y**4/3 + 1241*y**2. Factor o(f).
2*f*(f + 1)**2*(f + 2)**2
Let k(i) be the second derivative of -i**4/36 + 467*i**3/18 - i + 126. Let k(u) = 0. What is u?
0, 467
Suppose -40 - 30*d**4 + 616*d**3 - 540*d**2 - 5*d**5 + 21 - 301*d**3 + 19 = 0. What is d?
-12, 0, 3
Let t(f) be the third derivative of -f**5/90 - 139*f**4/2 - 173889*f**3 + 991*f**2. Determine a so that t(a) = 0.
-1251
Let w = -113369 + 113404. Find c such that -w*c - 735/2 - 5/6*c**2 = 0.
-21
Suppose -66*l - 36 + 17948*l**4 - 9*l - 39*l**2 + 3*l**3 - 17945*l**4 = 0. Calculate l.
-3, -1, 4
Suppose d + 132 = 166. Suppose 22*k + d*k - 112 = 0. Factor 3/2*z**k + 3/2*z - 9.
3*(z - 2)*(z + 3)/2
Let h(n) be the first derivative of 2*n**3/3 - 1170*n**2 + 684450*n - 1109. Find o such that h(o) = 0.
585
Suppose -208*r + 14667 - 14251 = 0. Determine c so that 0 + 36/5*c**4 + 16/5*c + 2*c**5 - 26/5*c**3 - 36/5*c**r = 0.
-4, -1, 0, 2/5, 1
Let t be 48/18 - (13/(-3) - -4). What is p in 23*p**2 + 110*p**4 - 115*p**4 - 60 + 42*p**2 - 5*p - 2*p**3 + p**3 + 6*p**t = 0?
-3, -1, 1, 4
Factor 152*y - 1/6*y**2 - 34656.
-(y - 456)**2/6
Let v = -3835/132 + 11549/396. Find h such that -11/9*h + v*h**3 - 8/9*h**2 + 2 = 0.
-2, 1, 9
Factor 82/7 - 80/7*m - 2/7*m**2.
-2*(m - 1)*(m + 41)/7
Factor 4/7*x**2 - 356/7*x + 0.
4*x*(x - 89)/7
Suppose 6455*v - 1413*v = -2053*v + 4386 + 9804. Factor 0 + 8/9*a**4 + 0*a + 14*a**3 - 32/9*a**v.
2*a**2*(a + 16)*(4*a - 1)/9
Let d be 54/(-576)*(-1856)/145. Solve -14/5*y - 8/5 - d*y**2 = 0 for y.
-4/3, -1
Let h = -985 - -1696. Let v = -708 + h. Suppose 0 - 3/2*s**4 - 3*s**v + 3/2*s**2 + 3*s = 0. What is s?
-2, -1, 0, 1
Let m = -449490 - -449493. What is t in 0 + 1/4*t**4 + 0*t - 1/4*t**m - 1/2*t**2 = 0?
-1, 0, 2
Let h(k) be the third derivative of 0*k**4 + 0 + 0*k**5 - 1/1848*k**8 + 0*k**3 + 2/1155*k**7 + 0*k - 1/660*k**6 + 2*k**2. Suppose h(t) = 0. Calculate t.
0, 1
Let r(s) = -14*s**3 + 76*s**2 - 494*s - 2136. Let o(g) = -12*g**3 + 75*g**2 - 494*g - 2141. Let t(c) = -6*o(c) + 5*r(c). Solve t(v) = 0 for v.
-3, 19
Let d(q) be the third derivative of q**5/130 + 509*q**4/78 - 680*q**3/39 + 10*q**2 - 41*q. Find x, given that d(x) = 0.
-340, 2/3
Let k(u) be the second derivative of -u**4/12 + u**3 + 475*u**2/2 + 48*u + 4. Factor k(g).
-(g - 25)*(g + 19)
Let g be (-9)/(-3)*1 + -11. Let o be ((-12)/(-2))/((-6)/g). Determine i so that 0 - 2*i**2 - o + 12 + 2*i = 0.
-1, 2
Suppose 17*l = 16*l + 4. Factor l*y + 3*y**2 + 5*y + 0*y - 6*y.
3*y*(y + 1)
Solve 1313*f**2 + 19773/2 - 46*f**3 - 11154*f + 1/2*f**4 = 0.
1, 13, 39
Let c(z) be the first derivative of z**7/168 + z**6/24 - 5*z**4/6 + z**3/3 + 8*z + 71. Let a(t) be the third derivative of c(t). Factor a(q).
5*(q - 1)*(q + 2)**2
Let v = -24215 + 24215. What is d in 0*d + 35/4*d**4 + v*d**2 + 3*d**3 - 3/4*d**5 + 0 = 0?
-1/3, 0, 12
Let b = -292 + 421. Let k be 58/18 + 215/b. Factor -k*l - 242/9 - 2/9*l**2.
-2*(l + 11)**2/9
What is o in 3300/7*o**3 + 56 - 600*o + 10634/7*o**2 + 242/7*o**4 = 0?
-7, 2/11
Let f(t) be the first derivative of -9/11*t**2 + 198 + 2/33*t**3 + 36/11*t. Determine p, given that f(p) = 0.
3, 6
Let l be (-8)/(-30) + (-987)/(-2961). Solve 9/5*h**2 - 9/5 + l*h**3 - 3/5*h = 0 for h.
-3, -1, 1
Let b(t) be the third derivative 