**6/120 + o**5/36 + o**4/72 - o**3/18 + o**2 - 25*o + 27. Let h(u) be the second derivative of s(u). Factor h(a).
(a + 1)**2*(3*a - 1)/3
Let t(j) be the second derivative of 7*j**4/12 - j**3/2 + 5*j**2/2 - 7*j. Let v(o) = -o + 4*o + 4 + 6*o**2 - 7*o. Let f(u) = -4*t(u) + 5*v(u). Factor f(w).
2*w*(w - 4)
Suppose 0*w - w = 7. Let n = 8 + w. Find x such that -9*x**2 + 6*x + 6*x + x**3 - 7 + 3*x**2 - n = 0.
2
Factor -105*r + 7332*r**3 + 110*r**2 - 3672*r**3 - 3665*r**3.
-5*r*(r - 21)*(r - 1)
Suppose 20*o + 3*g + 8 = 18*o, -2 = 4*o - g. Let l be -21 + 25 - (92/20 + o). Factor -l - 3/5*t**2 + t.
-(t - 1)*(3*t - 2)/5
Let k(c) be the third derivative of -c**6/3240 + c**5/360 + 5*c**4/108 - 53*c**3/6 + 80*c**2. Let t(r) be the first derivative of k(r). Factor t(q).
-(q - 5)*(q + 2)/9
Let w(r) = -23*r**3 - 2*r + 1. Let p(b) = -25*b**3 + 122*b**2 - 1760*b + 1639. Let t(a) = p(a) - w(a). Factor t(l).
-2*(l - 39)*(l - 21)*(l - 1)
Solve -98/5 - 97/5*s + 1/5*s**2 = 0.
-1, 98
Let c(z) be the first derivative of -z**3/18 - 25*z**2 + 302*z/3 - 1756. Factor c(k).
-(k - 2)*(k + 302)/6
Let g(b) = -b**3 + 6*b**2 + 3*b + 33. Let c be g(7). Let a be c/(-4)*(4 - (-189)/(-45)). Suppose -a*p**3 - 3/4*p - p**2 + 0 = 0. What is p?
-3, -1, 0
Let n be (-6)/(-720)*-958 + 8 + 0. Let x(l) be the third derivative of n*l**5 + 0*l**3 + 1/120*l**6 + 0*l**4 + 0 + 12*l**2 + 0*l. Suppose x(m) = 0. What is m?
-1, 0
Let r(i) be the first derivative of 12*i**2 - 4/3*i**3 + 64*i + 116. What is n in r(n) = 0?
-2, 8
Let l(v) be the second derivative of -v**4/48 + 13*v**3/4 - 77*v**2/8 - 3*v + 189. Factor l(j).
-(j - 77)*(j - 1)/4
Let l = 5975/7956 - 2/1989. Let f(d) be the first derivative of -l*d**4 + 3/2*d**2 - 2*d**3 + 3/10*d**5 + 9/2*d + 24. Factor f(p).
3*(p - 3)*(p - 1)*(p + 1)**2/2
Factor -50*m + 88 - 2*m**2 - 5*m + 41*m.
-2*(m - 4)*(m + 11)
Let n be ((-3)/10)/(6/(-16)). Let z = 2619448 + -2619443. Determine r so that -n*r**z - 2/5*r**3 + 0*r**2 - 6/5*r**4 + 0 + 0*r = 0.
-1, -1/2, 0
Let n(w) be the second derivative of -1/45*w**6 + 0*w**2 - 1/15*w**5 - 1/18*w**4 - 7 + 0*w**3 + 4*w. Find i, given that n(i) = 0.
-1, 0
Let r(c) = -4*c**3 + 5*c**2 - 71*c. Let t(f) = 3*f**3 - 3*f**2 + 70*f. Let m(h) = 4*r(h) + 5*t(h). Find g, given that m(g) = 0.
-6, 0, 11
Suppose 3*t - l = 95, -3*l + 17 = 5. Let x(i) be the first derivative of 0*i - t + 9/10*i**5 - 1/4*i**6 - 9/8*i**4 + 0*i**2 + 1/2*i**3. What is w in x(w) = 0?
0, 1
Let q(a) = -a**4 + 2*a**2 - a - 2. Let m(z) = 7*z**4 + 23*z**3 - 534*z**2 + 1894*z + 2444. Let j(n) = m(n) + 6*q(n). Factor j(v).
(v - 8)**2*(v + 1)*(v + 38)
Let y = -14237/13 - -42737/39. Determine d so that -4/3*d + 4/3*d**3 + 2/3*d**2 - y*d**4 + 0 = 0.
-1, 0, 1, 2
Determine z, given that 2829*z - 10*z**4 + 408*z**2 + 84*z**3 - 129 + 2765*z - 5290*z - 63 = 0.
-2, 2/5, 12
Let g be (-328)/954*(1 + (-7 - -4)). Let t = -10/477 + g. Find w such that 2/15*w**3 - 4/15 + t*w - 8/15*w**2 = 0.
1, 2
Let -1/2*r**3 - 67/2*r**2 - 96*r + 0 = 0. What is r?
-64, -3, 0
Let b be (-4)/20*-11 - 9/45. Let n(k) be the first derivative of 2/3*k + 5/12*k**4 - 3/2*k**b - 2/3*k**3 - 17. Let n(u) = 0. Calculate u.
-1, 1/5, 2
Let x(k) = k**4 + k**2 - k. Let n = -1015 - -1011. Let w(i) = -3*i**4 - 16*i**3 + 59*i**2 - 88*i + 44. Let v(u) = n*x(u) - w(u). Solve v(q) = 0 for q.
1, 2, 11
Suppose 11 = -5*b - 4, z + 4*z - 2*b - 11 = 0. Factor -14/5*h - z + 2/5*h**3 - 7/5*h**2.
(h - 5)*(h + 1)*(2*h + 1)/5
Let s = -393517/5 + 78704. Determine u so that 0*u + s*u**3 + 0 + 0*u**2 + 1/5*u**4 = 0.
-3, 0
Let x(r) = -9*r - 16. Let w be x(-4). Determine s so that 96*s + w*s**3 - 13*s**2 + 75*s**2 + 22*s**2 + 16 = 0.
-2, -1/5
Suppose -6*q = -134*q - 88*q + 432. Suppose j**4 + 1/4*j**5 + 0 - 11/4*j**3 + 3/2*j**q + 0*j = 0. Calculate j.
-6, 0, 1
Determine a so that -1379*a - 4*a**2 - 6615310 + 13227*a - 2158134 = 0.
1481
Let i be 0 - (9310/6220 + -2*1). Let w = i - 1/311. Factor 1/2*a**2 + w - a.
(a - 1)**2/2
Factor 22/9*l**2 + 0 + 2/9*l**3 + 20/9*l.
2*l*(l + 1)*(l + 10)/9
Let y(d) be the first derivative of -7*d**6/2 + 57*d**5/5 + 291*d**4/4 - 79*d**3 - 45*d**2 + 164. Find z, given that y(z) = 0.
-3, -2/7, 0, 1, 5
Let x(i) = 210*i**2 - 530*i + 125. Let n(v) = -15*v**2 + 38*v - 9. Suppose -29*z - 18 = -32*z. Let b(w) = z*x(w) + 85*n(w). Factor b(m).
-5*(m - 3)*(3*m - 1)
Let o be (-6)/(-25)*(-155)/(-248). Let u(q) be the second derivative of -o*q**5 - 1/10*q**6 + 1/2*q**3 + 0*q**2 + 10*q + 0 + 1/4*q**4. Solve u(l) = 0.
-1, 0, 1
Factor 785*p**3 + 63*p**2 + 775*p**3 + 774*p**3 - 4116 - 2331*p**3.
3*(p - 7)*(p + 14)**2
Let l(f) be the first derivative of f**6/40 + f**5/5 - f**2 + 29*f + 36. Let k(w) be the second derivative of l(w). Factor k(r).
3*r**2*(r + 4)
Let o(u) = -9*u**3 - 1271*u**2 - 3907*u + 3157. Let t(w) = 29*w**3 + 3801*w**2 + 11722*w - 9472. Let z(m) = 8*o(m) + 3*t(m). Factor z(y).
5*(y + 4)*(y + 79)*(3*y - 2)
Let n(s) be the second derivative of -2*s**6/105 + 57*s**5/35 + 122*s**4/7 + 1496*s**3/21 + 144*s**2 - 66*s + 1. Suppose n(c) = 0. What is c?
-2, 63
Suppose -2*k - 3*r = 32, -5*k - 5*r = -0*r + 90. Let z be (-161)/k + 38/209. Factor z*d**4 + 0*d + 12*d**3 + 0 + 6*d**2 + 3/2*d**5.
3*d**2*(d + 1)*(d + 2)**2/2
Let l(f) = 4*f + 1243*f**2 - 1244*f**2 - 3*f. Let k(u) = 5*u**2 - 35*u - 30. Let h(x) = -k(x) - 10*l(x). Suppose h(g) = 0. Calculate g.
-3, -2
Let m(r) be the first derivative of -1/21*r**3 + 53/14*r**2 + 54/7*r - 205. Find z such that m(z) = 0.
-1, 54
Let k(i) be the third derivative of 0*i**3 + 0*i**4 + 5/336*i**8 - 2/21*i**7 + 0 + 200*i**2 + 0*i + 0*i**5 + 1/6*i**6. Factor k(n).
5*n**3*(n - 2)**2
Let w = -284998 - -285000. Factor -17/3*d + 3*d**w - 2/3.
(d - 2)*(9*d + 1)/3
Let c(j) = -5*j**3 - 24*j**2 + 3*j + 2. Let r(b) = -b**4 - 25*b**3 - 130*b**2 + 15*b + 11. Let x(p) = 22*c(p) - 4*r(p). Factor x(w).
2*w*(w - 3)*(w + 1)*(2*w - 1)
Suppose 16 = 36*q - 32*q. Factor -29 + 20*d + 31 - 12 - 14 - q*d**2.
-4*(d - 3)*(d - 2)
Let g be 926/9 - (-23)/207. Suppose 0 = 32*p - g - 57. Factor 16/5*q**4 + 0*q - 4/5*q**3 + 0*q**2 - 12/5*q**p + 0.
-4*q**3*(q - 1)*(3*q - 1)/5
Let v be (3 - 1) + ((-1498)/300 - -6 - 3). Let l(t) be the third derivative of 1/300*t**6 - 21*t**2 + 0 + 0*t**3 + 0*t + 0*t**4 - v*t**5. Factor l(x).
2*x**2*(x - 1)/5
Factor 1634*s**2 - 2*s**3 + 247657*s - 685697*s - 3502*s**2 - 868624.
-2*(s + 2)*(s + 466)**2
Let d(t) = -t**2 + 10*t + 26. Let q be d(11). Factor -q*z**4 - 27*z**2 - 2*z**3 + 6 + 41*z**3 - 2*z - z.
-3*(z - 1)**3*(5*z + 2)
Solve -6/7*t**5 - 426/7*t - 843/7*t**4 + 1278/7*t**3 + 0 - 3/7*t**2 = 0 for t.
-142, -1/2, 0, 1
Let w(p) be the second derivative of p**6/15 + 21*p**5/10 + 31*p**4/6 - 43*p**3 + 76*p**2 + 2*p - 1812. Find a, given that w(a) = 0.
-19, -4, 1
Let f be 54/2 + 2 - -5. Let w = -31 + f. Factor 3*p + 3*p**3 - w*p**3 - 2*p**3 - p**3.
-3*p*(p - 1)*(p + 1)
Let w(t) be the second derivative of t**4/12 + 25*t**3/6 + 78*t**2 + 2481*t. Let w(x) = 0. What is x?
-13, -12
Let v(l) = 8*l**2 + 931*l - 1725. Let a(c) = 4*c**2 + 462*c - 862. Let d(k) = 13*a(k) - 6*v(k). Find h such that d(h) = 0.
-107, 2
Let h(b) be the first derivative of 0*b + 36 - 3/4*b**4 - b**3 + 3/5*b**5 + 1/2*b**6 + 0*b**2. Solve h(u) = 0.
-1, 0, 1
Let l be 1 + (160/15)/32. Let i(d) be the second derivative of 3*d**4 - 3/10*d**6 - 13/10*d**5 + 1/6*d**7 + 0*d**2 + 0 - 13*d - l*d**3. What is u in i(u) = 0?
-2, 0, 2/7, 1, 2
Let m(q) = -4*q**3 + 31*q**2 - 10*q. Let i(y) = 3*y**3 - 16*y**2 + 11*y. Let a(d) = 3*i(d) + 2*m(d). Determine b, given that a(b) = 0.
-13, -1, 0
Let d = 5337/4 + -1334. Let s(y) be the second derivative of -d*y**4 + 3/100*y**5 + 0 - 7*y + 27/10*y**2 + 3/10*y**3. Factor s(g).
3*(g - 3)**2*(g + 1)/5
Let j be (-4 - 1539640/(-456)) + (438/(-1168))/((-18)/16). Solve 1432/19*h - j*h**2 - 8/19 = 0 for h.
2/179
Let x(b) be the second derivative of 7/8*b**3 + 2*b - 1/16*b**4 + 0 + 0*b**2. What is y in x(y) = 0?
0, 7
Find c, given that -192200/11*c**2 + 1240/11*c - 2/11 = 0.
1/310
Suppose -79*p + 104*p + 7000 = 0. Let f be -8*42/p*10/4. Solve 0*v**4 + 0 - 1/2*v**5 + 1/2*v**f + 0*v**2 + 0*v = 0.
-1, 0, 1
Let o = 71 - 50. Let w = o - 18. Factor 3 + 4*u**3 - w*u + 2*u**3 - 6*u**2 - u**4 - 3*u**5 + 5*u**4 - u**4.
-3*(u - 1)**3*(u + 1)**2
Let 3/2*q + 114*q**2 - 114 - 3/2*q**3 = 0. What is q?
-1, 1, 7