 s(c).
-5*(c - 2)**2*(7*c - 2)
Find s, given that 2195 + 182*s**3 - 4348*s**2 - 186*s**3 - 19651 + 17440*s = 0.
-1091, 2
Let a = -14895/2 + 7451. Let o(n) be the second derivative of -1/20*n**5 + 12*n - 5/2*n**3 + 0 - 3/4*n**4 - a*n**2. Determine i, given that o(i) = 0.
-7, -1
Let a(j) be the first derivative of 4*j**5/9 - 11*j**4/18 - 98*j**3/27 - 25*j**2/9 + 2*j/3 - 330. Determine q, given that a(q) = 0.
-1, 1/10, 3
Let s(p) be the second derivative of -p**4/16 + 35*p**3/4 + 54*p**2 + 53*p + 1. What is q in s(q) = 0?
-2, 72
Let y(r) be the third derivative of r**2 - 1/1680*r**7 + 0*r**5 + 0*r + 1/240*r**6 + 0*r**4 - 5*r**3 + 0. Let u(s) be the first derivative of y(s). Factor u(k).
-k**2*(k - 3)/2
Let d be (2/(-8))/((36/(-4))/108). Suppose -32*i + 8*i**d - 2*i**4 - 41 + 16*i**2 + 7 + 12*i**2 - 14 - 2*i**4 = 0. Calculate i.
-2, -1, 2, 3
Let l be -57 + ((-160921)/87)/(-31). Factor -1/3*r - l + 8/3*r**2 + 1/3*r**3.
(r - 1)*(r + 1)*(r + 8)/3
Let g(s) be the first derivative of -s**6/24 + 7*s**5/20 - s**4 + 2*s**3/3 + 2*s**2 - 4*s - 1327. Factor g(b).
-(b - 2)**4*(b + 1)/4
Let r be ((-4)/(-6)*-6)/((-4)/40). Suppose r = 14*x - 6*x. Factor -5/3*v**3 + x*v + 0*v**2 - 10/3.
-5*(v - 1)**2*(v + 2)/3
Suppose 0 = -3*s + 22 - 22. Suppose 0 = -1162*g + 1163*g. Determine l, given that 2/13*l**4 + 0*l**2 + 0 + g*l**3 + s*l + 2/13*l**5 = 0.
-1, 0
Let j(w) be the third derivative of w**7/315 - 7*w**6/180 - w**5/90 + 7*w**4/36 + 3*w**2 - 57*w. Factor j(c).
2*c*(c - 7)*(c - 1)*(c + 1)/3
Let k(x) be the third derivative of -x**6/24 - 37*x**5/24 - 5*x**4/2 + 89*x**3/6 + 13*x**2. Let g(a) be the first derivative of k(a). Factor g(b).
-5*(b + 12)*(3*b + 1)
Determine s, given that -11 + 929/4*s**3 - 100*s - 25/4*s**5 - 185/4*s**4 - 707/4*s**2 = 0.
-11, -1/5, 2
Suppose -1053*f + 3392 = 643*f. Factor -507/4 - 39/2*g - 3/4*g**f.
-3*(g + 13)**2/4
Let h(w) = 2*w**3 + 8*w**2 - 6*w - 20. Let f be h(-4). Let -48*q + 5*q**3 - 62*q**3 + 12 + 103*q**2 + 0*q**5 - 28*q**2 - 3*q**5 + 21*q**f = 0. Calculate q.
1, 2
Let g(p) be the second derivative of 1/45*p**6 - 3*p + 12 + 4/9*p**3 + 0*p**4 - 1/10*p**5 + 0*p**2. Suppose g(u) = 0. What is u?
-1, 0, 2
Let p(v) = 39*v**2 - 221*v + 1500. Let m(s) = -8*s**2 + 44*s - 300. Let t(a) = -29*m(a) - 6*p(a). Let t(x) = 0. What is x?
10, 15
Let r be 2/9 - (663/(-216) - 9/24). Let u(m) be the first derivative of -4/15*m**5 + 256/3*m - r*m**4 - 5 - 16*m**3 - 32/3*m**2. Factor u(w).
-4*(w - 1)*(w + 4)**3/3
Suppose 4*j = j + 81. Let c = 167 - 137. Factor -j*r - 10 - 9 + 82*r - c*r**2 - 6.
-5*(r - 1)*(6*r - 5)
Let x = 7622/7803 - 4/289. Let f(b) be the first derivative of -2 - x*b**3 + 11/18*b**4 - 16/9*b**2 + 5/27*b**6 - 8/9*b + 34/45*b**5. Solve f(p) = 0 for p.
-2, -1, -2/5, 1
Let q be (-2)/2*(-9)/3. Let 727*t**3 - 1464*t**q + 732*t**3 + 5*t = 0. Calculate t.
-1, 0, 1
Let z(u) be the first derivative of -u**3/3 + 7*u**2 - 47*u + 455. Let t be z(7). Solve 45/2*n**3 - 50*n - 35/2*n**t - 10 = 0 for n.
-1, -2/9, 2
Let h = -117 + 119. Factor h*w**3 - 18*w**3 + 9*w**3 + 2*w**4 + w**3 + 4*w**2.
2*w**2*(w - 2)*(w - 1)
Let b(c) be the second derivative of 0 + 5/2*c**4 + 18*c**2 - 3/20*c**5 + 23/2*c**3 - 175*c. Find i such that b(i) = 0.
-1, 12
Let s(c) be the second derivative of c**5/110 - 49*c**4/66 - 14*c**3/3 - 104*c**2/11 - 2*c + 277. Factor s(r).
2*(r - 52)*(r + 1)*(r + 2)/11
Let s(q) be the third derivative of -2*q**7/35 + 37*q**6/160 - 21*q**5/80 + 120*q**2 + 5*q. Factor s(u).
-3*u**2*(u - 1)*(16*u - 21)/4
Determine n so that 1/6*n**5 - 17481416/3*n**2 - 983/6*n**4 + 160883/3*n**3 + 35287552/3 - 17966528/3*n = 0.
-2, 1, 328
Suppose 36/7*x + 16/7*x**2 + 18/7 - 4/7*x**3 - 2/7*x**4 = 0. What is x?
-3, -1, 3
Let h be 96/12 - 4 - (0 + 1). Let l(a) be the third derivative of 0*a**h + 0*a**4 + 1/40*a**6 - 1/10*a**5 + 0 + 0*a - a**2. Factor l(v).
3*v**2*(v - 2)
Let c = -414610 - -414614. Find l such that -3/7*l**5 - 6/7*l**3 - 9/7*l**c + 0 + 0*l + 0*l**2 = 0.
-2, -1, 0
Let a(s) be the second derivative of -1/30*s**6 - 11/10*s**5 - 47/4*s**4 + 40 - 110/3*s**3 + 3*s - 50*s**2. Factor a(x).
-(x + 1)**2*(x + 10)**2
Let f(t) be the first derivative of -32/3*t**2 - 128 + 140/3*t**3 - 16/3*t. Factor f(g).
4*(7*g - 2)*(15*g + 2)/3
Let h(f) be the first derivative of 5*f**3/3 - f**2 - f + 4. Let m be h(2). Suppose -3*n**2 - 10 + 0*n - 2*n**2 - m*n = 0. Calculate n.
-2, -1
Let m(y) be the second derivative of 7*y**4/12 + 9*y**3/2 - 77*y**2/2 + 213*y. Let u(k) = -6*k**2 - 28*k + 76. Let h(q) = -4*m(q) - 5*u(q). Factor h(j).
2*(j - 2)*(j + 18)
Let k(b) be the first derivative of b**3/9 + 129*b**2/2 - 130. Factor k(y).
y*(y + 387)/3
Let w(s) be the first derivative of -3*s**4/28 - 89*s**3/7 - 3825*s**2/14 + 101439*s/7 + 8516. Factor w(i).
-3*(i - 13)*(i + 51)**2/7
Let o(a) be the second derivative of 0*a**3 - 27/40*a**5 + 0 + 0*a**4 + 0*a**2 + 27*a + 1/20*a**6. Solve o(w) = 0 for w.
0, 9
Let t be (36/48)/(6/16). Let m be (26/(-455))/(2*t/(-28)). Determine s so that 4/5*s**2 - 4/5*s**3 - 2/5 - 2/5*s**4 + 2/5*s + m*s**5 = 0.
-1, 1
Let l = -35 + 40. Suppose 3*z = -2*z + 20, -z - 16 = -l*y. Factor -2*b**4 - 23 - 9*b**3 - 28*b**2 + b**y + 7 - 36*b.
-(b + 1)*(b + 2)**2*(b + 4)
Let o(i) = 21664*i - 129981. Let q be o(6). Factor -16 + 1000/9*y - 1708/9*y**2 - 98/9*y**q.
-2*(y + 18)*(7*y - 2)**2/9
Let y be (4 + (-192)/22 + 4)/(6/(-11)). Determine d so that -y*d**2 - 5*d + 6 + 4/3*d**3 = 0.
-2, 3/2
Factor -147 + 3*y**2 - 311 - 555*y + 145 - 245.
3*(y - 186)*(y + 1)
Solve 834798*s**2 - 1521*s**3 - 1562912 + 4*s**4 - 2254*s**3 + 235*s**3 - 774384*s - 49814*s**2 = 0 for s.
-1, 2, 442
Let k(t) = -26*t**2 + 794*t - 280. Let l(h) = 27*h**2 - 798*h + 280. Let f(i) = -5*k(i) - 4*l(i). Factor f(n).
2*(n - 35)*(11*n - 4)
Solve -14/5 - 6/5*r**4 - 54/5*r - 44/5*r**3 - 76/5*r**2 + 2/5*r**5 = 0 for r.
-1, 7
Suppose 3*v + 11 = 2*k, 0 = k + 6*v - 2*v + 11. Let q be 22/(-7) - (k + 0 + -5). Factor 0*g**3 + 0 + 6/7*g**2 - q*g**4 + 0*g.
-6*g**2*(g - 1)*(g + 1)/7
Let b be ((1232/294)/11)/(42/931). Factor -14/9*n**4 - 86/9*n - b*n**3 - 124/9*n**2 + 2/9*n**5 - 22/9.
2*(n - 11)*(n + 1)**4/9
Suppose 4*b = 2*k - 6*k + 532, 0 = -2*k + b + 257. What is j in 203*j + 605 - 812*j - 106*j + 8*j**2 + 107*j**2 + k*j**3 - 135*j**3 = 0?
1, 11
Let u(k) = -121*k**3 + 4*k**2 + 8*k + 4. Let a be u(-1). Factor 109 + 100 + 4*v**2 - 104*v - a + 104.
4*(v - 24)*(v - 2)
Let u = 91 - 88. Solve 4*b**5 - 120*b + 115*b**u - 59*b**2 + 45*b**4 + b**5 + 94*b**2 - 80 = 0 for b.
-4, -1, 1
Let p(c) be the second derivative of c**7/630 - c**6/90 + c**5/45 + 22*c**2 + 39*c. Let i(n) be the first derivative of p(n). Determine a so that i(a) = 0.
0, 2
Let f = -58 - -56. Let p(u) = 65*u**2 - 2620*u + 2375. Let k(q) = 3*q**2 - 119*q + 108. Let a(j) = f*p(j) + 45*k(j). Factor a(o).
5*(o - 22)*(o - 1)
Let c(y) = 4*y**2 - 22*y + 30. Let t(m) = -17*m**2 + 89*m - 119. Let x(h) = h**2 - 8*h - 66. Let d be x(-4). Let z(f) = d*c(f) - 4*t(f). Factor z(r).
-4*(r - 8)*(r - 2)
Suppose -4 = -4*f + 3*f. Let u(o) = o**3 + o**2. Let p(w) = -2*w**3 + 7*w + 4 - 51*w**2 + 21*w**2 + 31*w**2. Let j(g) = f*u(g) + 4*p(g). Factor j(a).
-4*(a - 4)*(a + 1)**2
Let y(s) be the second derivative of -s**4/4 - 12*s**3 + 75*s**2/2 - 230*s. Suppose y(z) = 0. What is z?
-25, 1
Let c be 17400/(-1800) + (-5 - -16). Factor 2/3*i - 5/3*i**4 + 0 + 11/3*i**2 + c*i**3.
-i*(i - 2)*(i + 1)*(5*i + 1)/3
Determine j, given that 4/7*j**2 + 108/7*j - 360/7 = 0.
-30, 3
Let a = -389 - -393. Suppose -i = 6*o - 2*o - 1, a*o + 19 = 3*i. Factor -128/3*w + 22/3*w**4 + 24*w**3 + 2/3*w**i + 0 + 32/3*w**2.
2*w*(w - 1)*(w + 4)**3/3
Let t(r) be the first derivative of -r**6/900 + 7*r**5/60 - 17*r**4/30 - r**3/3 - 2*r - 139. Let d(m) be the third derivative of t(m). Factor d(c).
-2*(c - 34)*(c - 1)/5
Let l(u) be the first derivative of 7*u**6/48 + 99*u**5/8 - 3313*u**4/32 + 5729*u**3/24 - 1767*u**2/8 + 77*u - 10886. Let l(m) = 0. What is m?
-77, 2/7, 1, 4
Determine w so that 63 + 334 - 14933*w**2 + 14932*w**2 + 51*w + 75 = 0.
-8, 59
Let m be 258/10 - 30/(-25). Determine b, given that -8 + m*b + 5*b**2 - 15*b - 9*b**2 = 0.
1, 2
Let c(y) be the first derivative of -y**7/42 + y**6/30 + 7*y**5/20 - 13*y**4/12 + y**3 - 186*y - 127. Let q(v) be the first derivative of c(v). Solve q(j) = 0.
-3, 0, 1,