+ 8*i**2/7 + 40*i/7 + 100. Factor c(h).
-2*(h - 2)*(9*h + 10)/7
Let u(b) = 2*b + 15. Let p be u(-6). Suppose 7*m**4 - 51*m**2 - 50 - 69*m**2 - 12*m**4 + 45*m**p + 135*m - 5*m**2 = 0. Calculate m.
1, 2, 5
Let c(d) be the third derivative of d**7/2520 + d**6/45 + 8*d**5/15 + 17*d**4/12 - d**3/3 - 12*d**2 - 2. Let a(p) be the second derivative of c(p). Factor a(g).
(g + 8)**2
Factor 147*m**2 - 459*m - 1/3*m**4 + 468 - 43/3*m**3.
-(m - 3)**3*(m + 52)/3
Let f(j) = j**3 + 18*j**2 - 23*j + 16. Let w(i) = 4*i + 5 + 18*i**2 + 10 - 28*i. Let z(v) = -3*f(v) + 4*w(v). Factor z(p).
-3*(p - 4)*(p - 1)**2
Let u be (10/6)/(9696/288). Let p = 975/707 + u. Suppose 32/7*y + p*y**2 + 32/7 + 1/7*y**3 = 0. Calculate y.
-4, -2
Factor 6312*y**2 + 3*y**3 - 6390784 - 6380672*y + 4346*y**2 - 1701*y**2 + 1151*y**2 - 7*y**3.
-4*(y - 1264)**2*(y + 1)
Let n(z) = z**2 + 6*z + 7. Let t be 2 + (-3 - (-9)/(-3) - 1). Let b be n(t). Suppose 5*k**2 - 49*k - 9 - k**3 + 52*k + b*k**3 = 0. What is k?
-3, 1
Factor -52*b + 0 + 1/4*b**4 - 22*b**2 - 5/4*b**3.
b*(b - 13)*(b + 4)**2/4
Determine m, given that 726*m**2 + 452*m**3 + 352*m - 480*m**3 + 80 - 482*m**2 = 0.
-1, -2/7, 10
Let c(m) = 6*m**5 + 601*m**4 - 22496*m**3 + 21909*m**2 + 5. Let v(a) = -2*a**5 - a**4 - a**2 - 1. Let q(i) = -c(i) - 5*v(i). Determine t so that q(t) = 0.
0, 1, 74
Factor 273*p - p**2 + 19829016 - 19829016.
-p*(p - 273)
Let x = 92 - 91. Let f be x + 2/2 + 0/(-6). Factor -26 + i**f + 52 - 16*i + 38.
(i - 8)**2
Let u(j) = j**3 - 376*j**2 - 1142*j + 1897. Let y be u(379). Find g, given that 4/7*g**y + 36/7 + 24/7*g = 0.
-3
Factor 6940/7*i + 6928/7*i**2 - 16/7*i**3 + 248.
-4*(i - 434)*(2*i + 1)**2/7
Let c be (-12)/(-14) + 6264/(-203). Let t be (-5 - -2)/c*(-5)/(-2). Solve 0 + t*s**2 - 3/4*s = 0 for s.
0, 3
Let o(k) be the first derivative of k**3/4 + 345*k**2/8 + 825*k/2 - 1115. Factor o(c).
3*(c + 5)*(c + 110)/4
Let u be 37/666*1863/92. Suppose -1/8*h**2 - u*h - 1 = 0. Calculate h.
-8, -1
Find d, given that -780*d + 296 - 30*d**2 + 21*d**2 + 2110*d = 0.
-2/9, 148
Let b(x) be the first derivative of 1/180*x**5 + 0*x + 0*x**4 - 1 + 0*x**3 - 1/360*x**6 - 17/2*x**2. Let a(s) be the second derivative of b(s). Factor a(m).
-m**2*(m - 1)/3
Let b = 81 - 76. Find c such that -12*c**4 + 64*c - 64 + 88*c**2 + 129*c**2 - 11*c**3 - b*c**3 - 153*c**2 = 0.
-2, 2/3, 2
Let j be (-48)/180*(220/(-5) + 4). Let v(p) be the first derivative of 8/3*p**2 - 2/9*p**3 + 32 - j*p. Let v(k) = 0. Calculate k.
4
Let h be 30/77 + (-28 + -1 - 345396/(-11836)). Find n, given that -2/7*n + 10/7*n**2 - 4/7*n**3 - h = 0.
-1/2, 1, 2
Find k such that -25392 + 536/3*k**2 + 5612*k + 4/3*k**3 = 0.
-69, 4
Let z(q) be the second derivative of 5/12*q**4 + 26*q + 1 - 4*q**2 - 1/2*q**3. Factor z(c).
(c + 1)*(5*c - 8)
Let t(v) be the third derivative of -2*v**2 + 17/140*v**5 + 1/14*v**4 + 0 - 6/7*v**3 - 30*v + 3/140*v**6. Determine l, given that t(l) = 0.
-2, -3/2, 2/3
Let p(m) be the first derivative of m**4/14 - 24*m**3/7 + 132*m**2/7 - 256*m/7 - 1270. Factor p(f).
2*(f - 32)*(f - 2)**2/7
Let t(z) be the third derivative of 87*z**6/20 + 221*z**5/35 + 275*z**4/84 + 4*z**3/7 + 3*z**2 + 31*z + 24. Factor t(n).
2*(3*n + 1)**2*(203*n + 12)/7
Let r be -4 + 23841/2979 - 4. Let u = 657/1655 + r. Determine a, given that u*a**3 - 14/5*a**2 - 24/5 + 32/5*a = 0.
2, 3
Let t be 5 - ((7 + -3)/4 + -1). Suppose 5*q - t = 3*r - 14, 12 = 4*r + 3*q. Solve -15*a**4 + 20*a**2 - 33*a - 38*a + 25*a**r + 51*a = 0.
-1, 0, 2/3, 2
Let r(w) be the second derivative of w**5/110 - 97*w**4/33 + 35*w**3/3 - 192*w**2/11 - 1786*w. Factor r(h).
2*(h - 192)*(h - 1)**2/11
Let i(v) be the second derivative of -4/5*v**2 + 31/30*v**3 + 3 + 1/15*v**4 + v. Determine l so that i(l) = 0.
-8, 1/4
Let o = -121/80 + 153/80. Factor -o*i**2 + 11/5*i + 21/5.
-(i - 7)*(2*i + 3)/5
Let g(w) = -w**5 + w**4 - w**3 + w**2 - w + 3. Let b(d) = -3*d**5 + 9*d**4 - 19*d**3 - 35*d**2 - 29*d + 15. Let y(o) = b(o) - 5*g(o). Let y(r) = 0. Calculate r.
-2, -1, 0, 3
Suppose -160 = -27*o + 2. Let u be -2*o/18*(-27)/15. Let 0*b**3 - 3/5*b**4 + u*b + 0 + 9/5*b**2 = 0. Calculate b.
-1, 0, 2
Determine j, given that 27/2 + 10*j**3 + 67/2*j**2 + 37*j = 0.
-27/20, -1
Let -3/5*p**4 - 27/5*p**3 + 0 + 72/5*p - 42/5*p**2 = 0. Calculate p.
-6, -4, 0, 1
Let f(k) be the third derivative of 37*k**5/16 - 3*k**4/16 + 2*k**2 - 460*k. Find q, given that f(q) = 0.
0, 6/185
Let v = 10450895 + -2184242573/209. Let m = 550/19 + v. Suppose -2/11*i**2 - m*i - 98/11 = 0. Calculate i.
-7
Let r(k) be the second derivative of -k**6/180 - 29*k**5/18 - 148*k**4 - 576*k**3 - 223*k**2/2 + 14*k. Let f(i) be the first derivative of r(i). Factor f(b).
-2*(b + 1)*(b + 72)**2/3
Let c(n) be the third derivative of -n**8/840 - n**7/525 + n**6/100 + n**5/150 - n**4/30 - 537*n**2. Find j such that c(j) = 0.
-2, -1, 0, 1
Let t(k) be the second derivative of 741321*k**4/4 + 861*k**3 + 3*k**2/2 - 6216*k + 2. Suppose t(n) = 0. What is n?
-1/861
Let w be 7/84*(0 + -3)*-24. Find h, given that w*h**3 + 27*h**2 - 4*h**4 - 7*h**2 + 44*h**2 - 192 + 10*h**3 - 64*h = 0.
-2, 2, 6
Let n(x) = -124*x**3 + 114*x**2 + 10*x. Let j(r) = 25*r**3 - 23*r**2 - 2*r. Let y(k) = -11*j(k) - 2*n(k). Factor y(c).
-c*(c - 1)*(27*c + 2)
Let j be 86/129 - (-7)/3. What is p in -4*p**3 - 3*p**j - 2*p**3 + 8*p**2 + 7*p**3 - 6*p = 0?
0, 1, 3
Let k(y) = -8*y**3 + 65*y**2 - 52*y + 356. Let i be k(8). Factor 0*d - 2*d**i + 0*d**2 - 7/3*d**3 + 1/3*d**5 + 0.
d**3*(d - 7)*(d + 1)/3
Let x(y) be the first derivative of -y**5/360 - 5*y**4/72 - 25*y**3/36 - 47*y**2/2 - 2*y + 39. Let i(s) be the second derivative of x(s). Factor i(h).
-(h + 5)**2/6
Let n(g) = 2*g**2 + 13*g + 10. Let x be n(-6). Suppose -f = -6*w + 2*w + 92, 0 = -3*w + x*f + 82. Factor 70*a**2 - w - 8 + 21*a**3 + 54*a + 15*a + 50*a**2.
3*(a + 1)*(a + 5)*(7*a - 2)
Let c(t) be the third derivative of -169*t**5/180 + 85*t**4/18 - 2*t**3/9 - 265*t**2. Find h such that c(h) = 0.
2/169, 2
Let f be (-56)/6*(32 + (-3445)/106). Solve -12*s**2 - f*s - 2/3 - 40/3*s**3 - 16/3*s**4 = 0.
-1, -1/2
Let l be 7 - (132*(-85)/70 - (-20 + 3 + 8)). Solve -2048/7 + l*j**3 - 11008/7*j - 36/7*j**4 - 7816/7*j**2 = 0.
-1, -2/9, 16
Factor 1/2*g**4 + 10 + 7*g**3 + 26*g + 45/2*g**2.
(g + 1)**2*(g + 2)*(g + 10)/2
Let q(t) = 9*t**2 + 84*t + 312. Let x be (-98)/21*5/((-70)/12). Let v(p) = -p**2 - p + 2. Let g(z) = x*v(z) + q(z). Factor g(w).
5*(w + 8)**2
Let o = 1524 + -1521. Let z be (-10)/3*(-24)/16. Factor -u**2 - 1/4*u**z + 1/2*u**4 - u + 3/4*u**o + 0.
-u*(u - 2)**2*(u + 1)**2/4
Let r(t) be the first derivative of 0*t - 3/2*t**3 + 0*t**2 + 15/16*t**4 + 3/20*t**5 + 164. Find g such that r(g) = 0.
-6, 0, 1
Let u be (18 - 1729/95) + 12046/5. Let j = u - 2405. Factor 0 - 1/6*b + 0*b**3 + 1/6*b**5 + 1/3*b**2 - 1/3*b**j.
b*(b - 1)**3*(b + 1)/6
Let l(p) = -p**4 - 17*p**3 + 18*p**2 + 9*p + 3. Let c(m) = m**4 + 16*m**3 - 17*m**2 - 6*m - 2. Let v(x) = -3*c(x) - 2*l(x). Find u such that v(u) = 0.
-15, 0, 1
Let s be (3 - 6 - (-12)/5) + 1288/230. Solve -2/13*b**4 + 6/13*b**3 + 0 + 2/13*b**2 - 4/13*b - 2/13*b**s = 0 for b.
-2, -1, 0, 1
Suppose -4*r + u + 9 = 0, -5*u - 1 = 3*r - 2. Factor -9*h**r + h**3 + 3*h**2 - h**2 - 5*h**2.
h**2*(h - 12)
Let q(d) = -2*d**2 + 88*d + 490. Let p be q(-5). Let s(o) be the first derivative of p*o**3 + 0*o - 1/26*o**4 + 0*o**2 + 2/65*o**5 - 33. Factor s(a).
2*a**3*(a - 1)/13
Let s(h) = 322*h - 4506. Let p be s(14). Find f, given that 0 + 0*f**3 - 1/2*f**4 + f + 3/2*f**p = 0.
-1, 0, 2
Let s(q) be the third derivative of q**8/90720 - q**6/810 + q**5/30 + 47*q**4/24 - 122*q**2. Let h(a) be the third derivative of s(a). Factor h(c).
2*(c - 2)*(c + 2)/9
Let x(u) = -7*u**3 + 36*u**2 - 41*u + 24. Let z(s) = 6*s**3 - 32*s**2 + 42*s - 24. Let t(m) = -2*x(m) - 3*z(m). Determine w so that t(w) = 0.
1, 2, 3
Let p = 103261 - 103259. Solve 0 + 12/5*c + 3/5*c**p = 0.
-4, 0
Let t = -94 + 67. Let u be (t/12 + 0)*-16. Let -u*y - 37*y + 70*y - y**2 = 0. Calculate y.
-3, 0
Let f be (-14)/21 - 44/(-3). Let n(k) = k - 12. Let s be n(f). Factor -3*h**5 + 0*h**4 + 4*h + 4*h**5 + h**5 - 6*h**3 - 2*h**s + 2*h**4.
2*h*(h - 1)**2*(h + 1)*(h + 2)
Let w(r) be the second derivative of -r**9/68040 - r**8/15120 + r**7/3780 + 295*r**4/12 + 40*r. Let k(a) be the third derivative of w(a). Fact