of -w**6/2160 + 13*w**5/360 - 169*w**4/144 - 17*w**3/3 - 3*w. Let c(j) be the second derivative of s(j). Factor c(o).
-(o - 13)**2/6
Let a be (-14 + 50)*(-10)/(-3). Suppose -12*n**4 + 48 - 164*n**2 - a*n**3 + 515*n**2 - 9*n**4 - 258*n = 0. Calculate n.
-8, 2/7, 1
Let n(b) = -16*b + 835. Let m be n(52). Let l(g) be the first derivative of 10 - 4*g - 3*g**2 - 2/3*g**m. Determine v so that l(v) = 0.
-2, -1
Let s be (132/(-15))/(-11)*5. Suppose 25*n - 2*g = 22*n + 8, -n - g = s. Suppose -27/2*l**2 + 21/2*l**5 + n - 3*l - 15/2*l**3 + 27/2*l**4 = 0. Calculate l.
-1, -2/7, 0, 1
Let h = -19/73 - -279/511. Let t(l) be the second derivative of 0*l**2 - h*l**4 + 1/14*l**5 - 13*l + 0 + 4/21*l**3. Factor t(k).
2*k*(k - 2)*(5*k - 2)/7
Let w = 163 - 150. Factor 10*p**2 + 19*p**2 - 55*p - 43*p**2 - w*p + 18*p**2.
4*p*(p - 17)
Let f = -87595/18 + 4865. Let d = f + 419/198. Factor -d*z**2 - 2/11*z + 8/11 + 2/11*z**3.
2*(z - 4)*(z - 1)*(z + 1)/11
What is g in -85*g**2 - 1/3*g**4 + 4/3*g + 340/3 - 88/3*g**3 = 0?
-85, -2, 1
Let a(c) be the first derivative of 0*c + 74 - 5*c**3 + 5*c**4 - 5/2*c**2. Factor a(w).
5*w*(w - 1)*(4*w + 1)
Let v = 14001 + -13998. Let p(d) be the second derivative of -7*d**2 - 1/42*d**4 - 21*d + 0 + 2/3*d**v. Suppose p(z) = 0. Calculate z.
7
Let y be (-1 - -1) + (-10)/(-4). Suppose 0 = 559*z - 1171*z + 537*z + 150. Let y*r + 0 - 5/6*r**z = 0. What is r?
0, 3
Let d(s) be the second derivative of s**5/4 - 55*s**4/6 - 235*s**3/6 - 60*s**2 - 167*s + 1. Let d(q) = 0. Calculate q.
-1, 24
Determine x, given that -30*x**4 - 5845*x**3 + 261 + 80*x**4 - 7 - 535*x**3 + 2284*x + 3792*x**2 = 0.
-1/5, 1, 127
Suppose -178*y - 137*y + 669 = -92*y. Suppose 21/2*n**2 + 17*n + 1/4*n**4 + 11/4*n**y + 10 = 0. Calculate n.
-5, -2
Let m be ((-10)/7)/((-1755)/(-441) - 4). Let l be 20/m - 38/(-14) - 3. Suppose 3/2*i**4 + 3/2*i**3 - 3/2*i**2 + 0 - 3/2*i**5 + l*i = 0. What is i?
-1, 0, 1
Suppose 116 = 3*w + 55*w. Solve -336*f**2 - 2*f**4 - 1341*f**3 - w*f**4 + 392*f + 4116 + 1269*f**3 = 0.
-7, 3
Let c(t) be the second derivative of -t**4/30 - 316*t**3/15 - 63*t**2 + 246*t - 2. Find p, given that c(p) = 0.
-315, -1
Suppose -386*k = -1137*k + 3004. Let z(r) be the second derivative of 3/5*r**5 + 0 - 19*r + 2/3*r**3 - r**k + 0*r**2 - 2/15*r**6. Factor z(a).
-4*a*(a - 1)**3
Let f(d) be the first derivative of -3*d**4/4 + 29*d**3 - 153*d**2/2 - 243*d + 2717. Let f(a) = 0. Calculate a.
-1, 3, 27
Let w(v) be the second derivative of 4*v + 2/15*v**4 + 0*v**2 + 0 + 1/50*v**5 - 1/3*v**3. Factor w(n).
2*n*(n - 1)*(n + 5)/5
Let y(g) be the first derivative of g**5/15 + 7*g**4/6 - 12*g**3 - 143*g**2/2 + 264. Let x(i) be the second derivative of y(i). Factor x(w).
4*(w - 2)*(w + 9)
Factor -16/7*b**2 + 180/7 + 716/7*b.
-4*(b - 45)*(4*b + 1)/7
Suppose 0 = 8*y + 2847 - 11495. Factor -4526*l**4 - y*l**2 - 195*l**3 - 10985*l + 4521*l**4 - 1454*l**2.
-5*l*(l + 13)**3
Let g = 446/19 - 5190/247. Let -g + 12/13*w + 18/13*w**2 + 2/13*w**3 = 0. What is w?
-8, -2, 1
Let c(d) be the third derivative of d**5/30 - 113*d**4/12 - 38*d**3 + 2*d**2 - 2*d + 114. Solve c(g) = 0.
-1, 114
Let s(v) = -v**3 - v**2 + v. Let n(m) = -5*m**3 - 293*m**2 + 590*m + 132. Let t(z) = -n(z) - 10*s(z). Factor t(j).
3*(j - 2)*(j + 22)*(5*j + 1)
Let r be ((-6656)/(-8320))/(0 - (-3)/40) + -2. Let r*h**2 + 96 - 1/3*h**3 - 64*h = 0. What is h?
2, 12
Let c(z) be the second derivative of -z**7/189 + 4*z**6/27 - 34*z**5/45 + 32*z**4/27 + 2658*z. Solve c(v) = 0 for v.
0, 2, 16
Determine q, given that -350/11*q**3 + 128/11*q + 172/11*q**2 + 0 + 50/11*q**4 = 0.
-2/5, 0, 1, 32/5
Let b be ((-1)/3)/(2/(-36)). Let w(i) = 2*i + 9. Let j be w(b). Suppose -15*x**2 + 273 - 142 - j*x - 137 = 0. Calculate x.
-1, -2/5
Let q = -178084 - -2315096/13. Suppose 8/13*d**2 - 4/13 - 6/13*d**3 - q*d**4 + 6/13*d = 0. What is d?
-2, -1, 1/2, 1
Let r(l) be the first derivative of l**6/180 - l**4/12 + 2*l**3 - 6*l + 43. Let f(w) be the third derivative of r(w). Determine k so that f(k) = 0.
-1, 1
Let i(h) = 5*h**2 - 28*h + 4. Let z be ((-3)/5)/(3/45). Let n(k) = 12*k**2 - 57*k + 9. Let j(d) = z*i(d) + 4*n(d). Factor j(o).
3*o*(o + 8)
Let q(c) be the second derivative of 8/21*c**3 + 0 - 1/105*c**6 - 5*c + 0*c**5 + 1/7*c**4 + 3/7*c**2. Factor q(y).
-2*(y - 3)*(y + 1)**3/7
Let y be (-1 - -1)/(10/(-15)*30/(-20)). Let c(t) be the second derivative of -1/72*t**4 + y + 0*t**2 - 10*t - 5/36*t**3. Factor c(w).
-w*(w + 5)/6
Let u(d) = -3*d**3 + 792*d**2 - 53001*d + 102972. Let a(x) = -3*x**3 + 792*x**2 - 52992*x + 102973. Let p(n) = -6*a(n) + 7*u(n). Determine y so that p(y) = 0.
2, 131
Let d(q) = 16*q**3 - 16*q**2 - 65*q + 9. Let n(a) = 59*a**3 - 63*a**2 - 261*a + 33. Let k(j) = 22*d(j) - 6*n(j). Factor k(i).
-2*i*(i - 17)*(i + 4)
Let a be ((10/(-3))/2)/(4560/(-16416)). Let o(k) be the third derivative of 0*k + 2/7*k**3 - 1/140*k**a + 1/15*k**5 - 17/84*k**4 - 6*k**2 + 0. Factor o(n).
-2*(n - 3)*(n - 1)*(3*n - 2)/7
Let u(v) be the second derivative of -v**6/195 + 1386*v**5/65 - 480249*v**4/13 + 443750076*v**3/13 - 230639102001*v**2/13 - 4*v - 122. Factor u(w).
-2*(w - 693)**4/13
Let f(y) = 2*y**3 - 1854*y**2 - 217170*y - 215296. Let c(r) = -5*r**3 + 3707*r**2 + 434343*r + 430592. Let l(a) = -6*c(a) - 13*f(a). Factor l(o).
4*(o + 1)*(o + 232)**2
Let u(s) be the second derivative of -s**5/80 - 637*s**4/8 - 405769*s**3/2 - 258474853*s**2 + 2621*s. Solve u(n) = 0 for n.
-1274
Let o(v) = 2*v**3 + 2*v**2 + v + 7. Let t(w) = 15*w**3 + 16*w**2 - 13*w + 73. Let z(x) = 7*o(x) - t(x). What is r in z(r) = 0?
-6, 2
Suppose 0 = 3*q - 15, -5*q = 4*k - 8*q - 5. Let -15*y**4 + 472*y + 10 - 235*y + k*y**2 - 272*y + 35*y**3 = 0. What is y?
-1, 1/3, 1, 2
Let m(l) be the third derivative of -l**8/672 - 11*l**7/30 - 2027*l**6/80 - 1463*l**5/15 - 361*l**4/3 + 2646*l**2. Solve m(a) = 0 for a.
-76, -1, 0
Let g(u) = u**4 + 2*u**2 + u. Let s(a) = 6*a**4 - 10*a**3 - 78*a**2 + 207*a - 105. Let n(d) = 20*g(d) - 4*s(d). Solve n(l) = 0.
-7, 1, 15
Let q be 3 - (-276)/16*6496/336. Factor 25*s**3 + 600*s - 288 - 1/2*s**4 - q*s**2.
-(s - 24)**2*(s - 1)**2/2
Let a(u) = -u**4 + u**3 + u**2 + 6*u - 3. Let i(t) = 3*t**4 + 5*t**3 + 234*t**2 + 996*t + 804. Let q(f) = 4*a(f) + i(f). Find b such that q(b) = 0.
-6, -1, 22
Let b(p) be the first derivative of p**6/33 + 28*p**5/55 + 61*p**4/22 + 56*p**3/11 + 36*p**2/11 + 3254. Factor b(i).
2*i*(i + 1)**2*(i + 6)**2/11
Let p(q) be the first derivative of 0*q - 1/2*q**3 + 9/4*q**2 - 1/10*q**5 - 5/8*q**4 - 32. What is v in p(v) = 0?
-3, 0, 1
Suppose -4*j = -3*o - 8, -3*j + 2 + 4 = 3*o. Let v = -6 + 8. Factor 349*m**v - 349*m**2 - j*m**4.
-2*m**4
Let w(d) be the first derivative of 2*d**5/15 + 124*d**4/3 + 15376*d**3/3 + 953312*d**2/3 + 29552672*d/3 - 1179. Let w(c) = 0. Calculate c.
-62
Let o = 328 - 324. Factor 7*l**o + l**5 - l**4 - 30*l**3 + 3*l**4 + 2*l**5.
3*l**3*(l - 2)*(l + 5)
Let s(r) = r**2 + 13*r + 1. Let j = 40 - 44. Let z(t) = 0*t + 12*t + 0*t. Let q(w) = j*s(w) + 5*z(w). Determine h, given that q(h) = 0.
1
Suppose -6711 = 16*d + 6441. Let k = d + 826. Factor 0*p - 4/7*p**2 + 0 + 8/7*p**k - 2*p**3.
2*p**2*(p - 2)*(4*p + 1)/7
Let l(y) be the second derivative of -y**6/120 - 2*y**5/5 - 37*y**4/8 + 68*y**3/3 - 289*y**2/8 - 28*y. Factor l(s).
-(s - 1)**2*(s + 17)**2/4
Suppose 583*k - 601*k - 19 + 19 = 0. Let d(b) be the second derivative of -5/14*b**3 - 1/7*b**4 - 3/14*b**2 + k - 9*b. Find j such that d(j) = 0.
-1, -1/4
Let o(d) be the first derivative of 1/27*d**4 + 8*d - 8/9*d**2 + 9 + 2/9*d**3. Let g(l) be the first derivative of o(l). Factor g(j).
4*(j - 1)*(j + 4)/9
What is f in -4711 + 3*f + 408*f**5 + 4693 - 12*f**4 + 30*f**2 - 411*f**5 = 0?
-3, -2, -1, 1
Find k, given that -434*k**3 - 2*k**5 + 5586*k**2 - 74*k**4 + 0*k**5 + 5695*k - 583*k + 4790*k + 2446*k = 0.
-21, -2, 0, 7
Let t(x) be the first derivative of 1166*x**3/27 + 584*x**2/9 + 2*x/9 + 8133. Factor t(h).
2*(h + 1)*(583*h + 1)/9
Let z be 36445/155610 - (-12)/56. Let i = z + -1/247. Suppose 2/9*a + i*a**3 - 7/9*a**2 + 1/9 = 0. Calculate a.
-1/4, 1
Solve -9/2*k**4 + 22 + 25/2*k**2 - 42*k + 25/2*k**3 - 1/2*k**5 = 0.
-11, -2, 1, 2
Let i(n) = 10*n**3 + 6*n**2 - 7*n + 5. Let b be i(3). Find o such that -152*o + b*o - 151*o - 5*o**3 = 0.
-1, 0, 1
Suppose -8*c = -6*c - 18. Suppose 12*p = 