*(18*w + 1)/4
Let f(u) = 15*u**4 + 11*u**3 + 36*u**2 + u - 42. Let c(j) = 2*j**4 + j**3 + 5*j**2 + j - 6. Let l(i) = 14*c(i) - 2*f(i). Find q such that l(q) = 0.
-3, -2, 0, 1
Suppose 2841 = -2*j + 2097. Let t be j/248*(-1 + 3/5). Solve -6/5 + 9/5*v - t*v**2 = 0 for v.
1, 2
Suppose -4*i - 4 = -16, -5*i = 2*x - 29. Let d be 1/x - 53/(-371). Factor 2/7 + 6/7*h**2 - d*h**3 - 6/7*h.
-2*(h - 1)**3/7
Let j(s) = -131*s + 1445. Let p be j(11). Let v(d) be the third derivative of 29*d**2 + 0 - 19/6*d**p + 4/15*d**5 - 10/3*d**3 + 0*d. Factor v(n).
4*(n - 5)*(4*n + 1)
Suppose 5*m + 13*m - 36 = 0. Factor -37*f**2 - 3*f - 41*f**2 + 6 + 75*f**m.
-3*(f - 1)*(f + 2)
Suppose 514098/11 - 2028/11*j + 2/11*j**2 = 0. Calculate j.
507
Let v(l) = -l**3 + 6*l**2 + 7. Let n = 28 - 23. Let f be v(n). Factor 8*t**2 - f*t**3 - t**5 - 4 - 9*t**5 + 8*t + 28*t**4 + 2*t**5.
-4*(t - 1)**4*(2*t + 1)
Let t be 846/105 + -8 - (-1340)/70. Let w(n) be the first derivative of -4 - 8/5*n**2 + t*n + 2/45*n**3. Factor w(b).
2*(b - 12)**2/15
Let k be (-3138)/(-1173) + 4/(-46). Let x = k + -203/85. Factor x*g + 0 + 2/5*g**2 + 1/5*g**3.
g*(g + 1)**2/5
Let x(l) = 28*l**3 - 2*l**2 - 4*l + 14. Let k(z) = 5*z**3 - z + 2. Let u(q) = 6*k(q) - x(q). Factor u(f).
2*(f - 1)*(f + 1)**2
Solve 1918*t + 78*t**3 - 71*t**3 - 70*t**3 - t**4 - 891*t**2 + 1349*t = 0.
-33, 0, 3
Let j = -85559/2 + 42781. Factor -j*y**2 + 0 - 9/4*y**3 + 3/4*y**5 + 0*y**4 + 0*y.
3*y**2*(y - 2)*(y + 1)**2/4
Let a(f) = 6*f**2 + 37*f + 7. Let c be a(9). Factor 2*l**2 + 192*l - 2246 - 5*l**2 - c.
-3*(l - 32)**2
Determine z, given that -126*z**2 - 633/5*z - 3/5 = 0.
-1, -1/210
Suppose -79*d - 71 - 63 = -146*d. Find o, given that -42/11*o + 2/11*o**d + 2/11*o**3 - 90/11 = 0.
-3, 5
Factor 2320*q - 89*q**4 - 2310*q**2 - 3*q**4 + 7*q**4 + 760*q**3 + 8*q**4 + 82*q**4 - 775.
5*(q - 1)**3*(q + 155)
Let a be (33/(-22))/((-2)/4). Suppose 19*r - 48 = a*r. Factor 7*v + v - 8 + 5*v**r - 10*v**3 - v**3 + 10*v**2.
-2*(v - 2)*(v + 1)*(3*v - 2)
Let h = 1001 + -1001. Let z(x) be the third derivative of h*x - 1/24*x**4 + 0*x**5 + 0 + 0*x**3 + 1/120*x**6 + 3*x**2. Factor z(i).
i*(i - 1)*(i + 1)
Let f be ((-2)/2)/(1/(-22)). Let s(k) = -2*k**3 + 7*k**2 + 3*k - 11. Let g be s(3). Factor -3*y**4 - 21*y**3 + 18*y - 3*y**4 - 6*y**4 - g*y**2 + f*y**2.
-3*y*(y - 1)*(y + 2)*(4*y + 3)
Find k such that 530*k + 2004*k**2 - 4103*k**2 + 132 + 2107*k**2 = 0.
-66, -1/4
Let u = -3275 - -3277. Let w(g) be the first derivative of 0*g - 1/2*g**4 - 8/3*g**3 - 1 - 4*g**u. Factor w(d).
-2*d*(d + 2)**2
Let u = -355 - -357. Factor -703*f**2 + 347*f**u + 353*f**2 - 9*f.
-3*f*(f + 3)
Let -372/5*b - 92/5 - 16/5*b**2 = 0. Calculate b.
-23, -1/4
Let x = 580 + -846. Let t = x - -268. Factor 0 + 4/9*p**t + 14/9*p**3 + 0*p.
2*p**2*(7*p + 2)/9
Let j = 5137/2124 - -839/59. Let x = j + -8/9. Factor 3/4*m**3 + 6*m**2 + x*m + 27/2.
3*(m + 2)*(m + 3)**2/4
Suppose 0 = 2324*h + 2381*h - 4579*h - 504. Factor 3/2*a**h + 83/4*a**2 + 39/4*a - 9/4 + 41/4*a**3.
(a + 1)*(a + 3)**2*(6*a - 1)/4
Let s(z) be the second derivative of z**5/240 - z**4/48 - 5*z**3/8 - 161*z**2/2 + 15*z. Let k(u) be the first derivative of s(u). Factor k(m).
(m - 5)*(m + 3)/4
Let o be -1 + 1 + 711/60. Let m = -41/4 + o. Factor -2/5*l - 1/5*l**2 + m.
-(l - 2)*(l + 4)/5
Let n be 4/(-22) + (-12)/(-66). Factor -15*g**3 + 21*g + 34*g - 28 - 2 + n - 15*g**2 + 5*g**4.
5*(g - 3)*(g - 1)**2*(g + 2)
Suppose 0 = 5*m + 7*x - 2*x - 420, 3*m - 248 = -x. Let c = m + -78. Factor 12*r + 52*r**3 + 48*r**2 + 4*r + 16*r**4 + 8*r**4 + c*r**5.
4*r*(r + 1)**2*(r + 2)**2
Let s(x) be the third derivative of x**8/448 - x**7/280 - x**6/32 + x**5/16 + x**4/8 - x**3/2 + 3804*x**2. Solve s(o) = 0 for o.
-2, -1, 1, 2
Solve -723/5*g**2 - 1098/5*g + 0 + 1/5*g**4 - 116/5*g**3 = 0 for g.
-3, 0, 122
Let h(d) be the second derivative of d**6/45 - 13*d**5/15 - 20*d**4/3 - 54*d + 2. Find z such that h(z) = 0.
-4, 0, 30
Let r(f) be the third derivative of 0 + 0*f**5 + 1/60*f**6 + f**2 - 33*f - 2/3*f**3 - 1/4*f**4. Find y such that r(y) = 0.
-1, 2
Let t = 465822 - 465822. Let m be 1/(-2)*-4 - -1. Determine f, given that 2/13*f**4 + 2/13*f - 2/13*f**2 - 2/13*f**m + t = 0.
-1, 0, 1
Let n = -1668 - -1671. Let l(w) be the second derivative of 0*w**3 - 1/80*w**5 + 1/2*w**2 - 1/16*w**4 + 0 - n*w. Factor l(k).
-(k - 1)*(k + 2)**2/4
Let h(x) = x**3 - 19*x**2 + 34*x + 3. Let v be h(17). Factor 24*k**2 + 14*k**2 - 33*k**2 + 5*k**4 - 10*k**3 + 15*k - 10 - 5*k**v.
5*(k - 2)*(k - 1)**2*(k + 1)
Find y, given that -800/9*y**4 + 30640/9*y**3 + 2/3*y**5 - 85060/3*y**2 + 61610/9*y + 163724/9 = 0.
-2/3, 1, 11, 61
Let o(n) = 2608*n**4 - 26*n**3 + 14*n**2 - 14. Let t(v) = 522*v**4 - 5*v**3 + 3*v**2 - 3. Let y(q) = 3*o(q) - 14*t(q). Factor y(l).
4*l**3*(129*l - 2)
Let z(r) = -4*r**3 - 2*r - 2. Let b(i) = -i**4 + i + 1. Let o be (1 + (-4)/16)*40. Let c = 28 - o. Let x(d) = c*b(d) - z(d). Determine n, given that x(n) = 0.
-2, 0
Let d(f) be the second derivative of 1/180*f**6 + 3 + 0*f**2 - 1/72*f**4 - 1/40*f**5 + 1/18*f**3 + 1/252*f**7 - 7*f. Find n, given that d(n) = 0.
-2, -1, 0, 1
Let n(r) be the third derivative of 2*r**2 - 7/1800*r**6 + 1/300*r**5 - 5/3*r**3 + 0*r**4 + 0*r + 0. Let p(j) be the first derivative of n(j). Factor p(c).
-c*(7*c - 2)/5
Let b be (13 + (-1309)/102)/(3/2). Let v(h) be the first derivative of 16/3*h + 3 + b*h**3 + 4/3*h**2. Factor v(n).
(n + 4)**2/3
Let w(c) be the second derivative of -c**6/15 + 113*c**5/5 - 12769*c**4/6 - 8018*c. Determine s, given that w(s) = 0.
0, 113
Let v(m) = -8*m**4 - 10*m**2 - 7. Let r(h) = 6*h**4 + 6*h**2 + 5. Suppose 2*y - 126 + 136 = 0. Let q(o) = y*v(o) - 7*r(o). Suppose q(p) = 0. What is p?
-2, 0, 2
Let t(w) = -8*w**4 + 88*w**3 - 118*w**2 - 4860*w - 10798. Let m(v) = 18*v**4 - 174*v**3 + 241*v**2 + 9720*v + 21595. Let p(r) = -2*m(r) - 5*t(r). Factor p(k).
4*(k - 15)**2*(k + 3)*(k + 4)
Let q = -5877 - -117549/20. Let o(w) be the second derivative of -6*w + 0*w**2 - 1/4*w**4 + 0 - q*w**5 + w**3. Factor o(p).
-3*p*(p + 1)*(3*p - 2)
Let r(d) be the second derivative of -d**5/4 - 385*d**4/12 - 3400*d**3/3 + 12000*d**2 - 92*d + 1. Factor r(a).
-5*(a - 3)*(a + 40)**2
Let i(y) be the second derivative of 0 - 13/42*y**4 - 232*y - 18/7*y**2 + 31/21*y**3. Factor i(d).
-2*(d - 1)*(13*d - 18)/7
Let h(y) = 6*y**2 + 387*y + 714. Let l(x) = x**2 + x - 14. Let m(i) = h(i) - 3*l(i). Factor m(q).
3*(q + 2)*(q + 126)
Let t be (8 + 3)*(-297)/(-66). Find d such that -69*d**2 - 27/2*d**4 - t*d - 45*d**3 - 27/2 - 3/2*d**5 = 0.
-3, -1
Let y(x) be the second derivative of 0 + 60*x**3 - 175*x + 5400*x**2 + 1/4*x**4. Factor y(p).
3*(p + 60)**2
Let b be (247/(-57) - -3)/(2/(-12)). Let g be b/(-5)*(-355)/1278. Let -g - 2/3*d - 2/9*d**2 = 0. What is d?
-2, -1
Suppose -3*f = -2*v - 1, -1 = v - f - 0*f. Let o be v + 5/7*7. Factor 0*a**2 - 6/7*a - 4/7 + 2/7*a**o.
2*(a - 2)*(a + 1)**2/7
Let q(u) be the second derivative of -1/24*u**4 + 0 + 0*u**3 + 1/120*u**6 + 0*u**5 - 9*u - 7/2*u**2. Let l(m) be the first derivative of q(m). Factor l(b).
b*(b - 1)*(b + 1)
Let x = -45892 - -45892. Solve -24*f**2 + 0 + x*f - 2/3*f**4 - 8*f**3 = 0.
-6, 0
Let x(n) be the third derivative of -n**5/150 - 241*n**4/5 - 696972*n**3/5 + 2797*n**2 + n. Factor x(j).
-2*(j + 1446)**2/5
Let x(b) = 222*b - 26862. Let g be x(121). Determine l so that 1/2*l**5 - 1/2*l**4 - 1/2*l**3 + 1/2*l**2 + g + 0*l = 0.
-1, 0, 1
Let s(b) be the third derivative of -b**8/2016 + b**7/70 + b**6/30 - 49*b**5/180 + 19*b**4/48 - 105*b**2 + 9. Let s(l) = 0. What is l?
-3, 0, 1, 19
Let d(t) be the second derivative of 1 - 22/21*t**3 - 6*t - 1/42*t**4 - 121/7*t**2. Factor d(b).
-2*(b + 11)**2/7
Factor 117*q**2 + q**4 + 415*q + 2*q**4 + 1163*q + 957*q - 63*q**3.
3*q*(q - 13)**2*(q + 5)
Let l(x) be the third derivative of -x**5/60 - 19*x**4/24 + 46*x**3/3 + 1410*x**2. Factor l(u).
-(u - 4)*(u + 23)
Suppose 693 = 6*g + 609. Suppose -g*f = -39*f + 50. Factor 2/5*u**2 + 12/5 + f*u.
2*(u + 2)*(u + 3)/5
Let m(i) be the first derivative of 1/2*i**2 - 1/24*i**4 + 1/18*i**3 + 0*i + 52. What is g in m(g) = 0?
-2, 0, 3
Let o(c) be the third derivative of c**7/560 + c**6/80 + c**5/40 + 13*c**3/6 - 84*c**2. Let z(j) be the first derivative of o(j). Factor z(n).
3*n*(n + 1)*(n + 2)/2
Let l be (-6)/(-63) - 8756/(-231). Let b b