3*l(x). Let t(d) = 0. Calculate d.
-1, 1/3, 1
Let y(h) = 20*h**2 - 10*h - 5. Let z be y(1). Let a(b) be the third derivative of 0*b**3 + 0 - 1/90*b**z + 0*b - 4*b**2 - 1/9*b**4. Factor a(k).
-2*k*(k + 4)/3
Let j = -702 + 690. Let x be (-3)/(-12) + 15/j + 1. Factor x + 3/2*s + 3*s**4 - 3/2*s**5 + 0*s**3 - 3*s**2.
-3*s*(s - 1)**3*(s + 1)/2
Suppose -51 = -3*t + 5*z, t - 1110*z + 1115*z = -43. Factor 13/3*u**2 + 0 - t*u - 8/3*u**3 + 1/3*u**4.
u*(u - 6)*(u - 1)**2/3
Let o(r) = -r**2 + 7*r + 34. Let x be o(12). Let y be (-4)/x + (-38178)/(-2808). Find p, given that 5/4*p**3 - 35/4*p**2 + y*p - 25/4 = 0.
1, 5
Let c(d) be the second derivative of d**7/3360 + 11*d**6/240 + 121*d**5/40 + d**4/3 + 209*d. Let j(i) be the third derivative of c(i). Factor j(m).
3*(m + 22)**2/4
Let u(j) be the first derivative of -4*j**3/9 - 524*j**2 - 205932*j + 5618. Find x, given that u(x) = 0.
-393
Suppose -2*r = -4*x + 170, 5*x + 6*r = 4*r + 208. Let d be (-2)/(-12)*(280/x)/5. Factor 0 + 2/9*l**4 - d*l**2 + 0*l + 0*l**3.
2*l**2*(l - 1)*(l + 1)/9
Let u(o) be the second derivative of o**7/4 - 46*o**6/5 + 4209*o**5/40 - 1285*o**4/4 + 408*o**3 - 216*o**2 - 846*o. Determine x, given that u(x) = 0.
2/7, 1, 12
Let f(r) be the first derivative of -r**3/3 + 89*r**2/2 + 182*r + 943. Factor f(c).
-(c - 91)*(c + 2)
Let k be 9/(776/112 + 32/56). Suppose 20 = 4*j + 5*q, 2*j + 2*q = -3*j + 8. Factor -k*f**2 + 6/5*f**3 + j - 2/5*f**4 + 2/5*f.
-2*f*(f - 1)**3/5
Let t(l) be the third derivative of l**7/90 - l**6/12 + 31*l**5/180 + l**4/6 - 10*l**3/9 - 15*l**2 + 33. Factor t(a).
(a - 2)**2*(a - 1)*(7*a + 5)/3
Factor 2416*m - 2357 + 301 - 2*m**2 - 2*m**2 - 7 - 349.
-4*(m - 603)*(m - 1)
Let w(o) = 2216*o - 119659. Let l be w(54). Factor 0*y + 3/2*y**4 - 5/2*y**l + 0 + 0*y**2 + y**3.
-y**3*(y - 1)*(5*y + 2)/2
Suppose 2/7*w**3 - 40/7*w**2 + 262/7*w - 80 = 0. What is w?
5, 7, 8
Suppose -7*n + 0*n + 98 = 0. Suppose -4*s = -n*s + 300. Let 3*z**2 - 32*z - z**2 + s*z = 0. What is z?
0, 1
Suppose 2*f = -16, -725*l = -721*l + 6*f - 48. Determine r, given that 96 + 3/2*r**2 - l*r = 0.
8
Let a(h) be the first derivative of -4*h**5/5 + 21*h**4 - 536*h**3/3 + 408*h**2 + 1440*h - 1873. Factor a(y).
-4*(y - 10)*(y - 6)**2*(y + 1)
Suppose 1/4*o**4 + 0 + 0*o + o**2 - o**3 = 0. What is o?
0, 2
Suppose -7 - 8 - 15 = -3*l, 3*k + l - 10 = 0. Factor k*g + 18/5*g**3 + 0 - 12/5*g**2 - 6/5*g**4.
-6*g**2*(g - 2)*(g - 1)/5
Let w be 25/(-5)*12 - -62. Factor 56/11 - 6/11*x - 2/11*x**w.
-2*(x - 4)*(x + 7)/11
Let q(z) be the second derivative of z**6/6 - 5*z**5 - 35*z**4/4 + 2561*z - 2. Factor q(v).
5*v**2*(v - 21)*(v + 1)
Let v = -201 - -137. Let r = -62 - v. Let -2*c**r - 4*c**3 - 4*c**2 - c + 9*c + 2*c**2 = 0. What is c?
-2, 0, 1
Let t(q) = -47 + 144 + 20*q + q**2 + 5 + 0*q**2. Let h be t(-11). Factor 0 + 1/8*w**h + 3/8*w**2 - 1/2*w.
w*(w - 1)*(w + 4)/8
Let c be 1/((-2)/(-50))*-2. Let n = 57 + c. Let 27*d**2 - 112*d**2 - 59*d**2 - 4*d**4 - 41*d**3 - n*d**3 = 0. What is d?
-6, 0
Let z = -1687520 + 1687522. Factor 33*s + 7*s**z - 121/3 + 1/3*s**3.
(s - 1)*(s + 11)**2/3
Let p = -530 + 277. Let z = p - -376. Suppose -90*s**5 - 135*s**4 - s + 100*s**3 + 138*s**2 - 9*s - z*s**2 = 0. What is s?
-2, -1/3, 0, 1/3, 1/2
Let k(g) be the second derivative of -g**5/100 + 7*g**4/4 - 133*g**3/10 - 101*g**2/2 + 7883*g. Factor k(q).
-(q - 101)*(q - 5)*(q + 1)/5
Let p = 24 - 20. Suppose -3*a - 16 = -8*a - j, 3*a + p*j = 13. Determine u, given that -2 + 2*u**3 - 2*u**2 - 4*u + 2*u**a + 2*u**4 + 2*u**2 = 0.
-1, 1
Let i be (138/(-17) + 1 + 7)*(-51)/3. Suppose 8/5*m**3 + 4/5*m**5 + 0*m + i*m**4 + 0 + 2/5*m**2 = 0. Calculate m.
-1, -1/2, 0
Let a(k) be the third derivative of -k**6/30 + 16*k**5/15 + 35*k**4/6 + 12*k**3 + 696*k**2. Factor a(r).
-4*(r - 18)*(r + 1)**2
Let m be 80/6 + (286/33 - 9). Determine a so that -m*a**2 - 41139*a + 41171*a - 20 - a**3 + 2*a**3 = 0.
1, 2, 10
Let t(f) be the first derivative of -69 + 9*f - 15/2*f**2 + 15/4*f**4 - 3*f**3. Factor t(l).
3*(l - 1)*(l + 1)*(5*l - 3)
Let j(z) = 2*z**4 - 499*z**3 + 475*z**2 + 494*z - 497. Let q(l) = -3*l**4 + 748*l**3 - 714*l**2 - 741*l + 745. Let m(d) = 7*j(d) + 5*q(d). Factor m(r).
-(r - 246)*(r - 1)**2*(r + 1)
Let s(p) be the third derivative of 0*p + 0 + 104*p**2 + 0*p**4 + 1/90*p**5 - 4/9*p**3. Factor s(y).
2*(y - 2)*(y + 2)/3
Let p = 526 + -524. Factor 74*f + 6*f**2 + 33*f - 19*f - 2*f**p.
4*f*(f + 22)
Let f = -7 - -121/17. Let m be 1/(-5)*(67 + -82). Let 0 - f*y**4 - 2/17*y**m + 2/17*y + 2/17*y**2 = 0. What is y?
-1, 0, 1
Let v be ((1 - 1) + 76/(-57))*(-72)/32. Let 10/9*u**v - 4/3*u + 0 + 10/9*u**4 + 2/9*u**5 - 10/9*u**2 = 0. What is u?
-3, -2, -1, 0, 1
Solve l**2 + 813*l - 83*l + 62*l - 5*l**2 - 39204 = 0 for l.
99
Let c(v) be the second derivative of 41/27*v**3 + 2*v + 7/108*v**4 - 4/3*v**2 + 15. Let c(a) = 0. What is a?
-12, 2/7
Let j be ((-10)/(-75))/(2/3). Let i be 154/(-550)*(-10)/42*6. Determine z so that j*z - 1/5*z**3 + 2/5 - i*z**2 = 0.
-2, -1, 1
Factor 0 + 355/11*v**4 + 119/11*v**5 + 113/11*v**2 + 351/11*v**3 - 2/11*v.
v*(v + 1)**3*(119*v - 2)/11
Let c be 10/(6 + ((-8)/4 - 2)). Let n(a) be the third derivative of 0 - 3/32*a**4 - 1/8*a**3 - 18*a**2 + 0*a + 1/20*a**c. Solve n(r) = 0 for r.
-1/4, 1
Factor -15*y**3 + 1/2*y**4 + 241/2*y**2 - 318*y + 266.
(y - 19)*(y - 7)*(y - 2)**2/2
Let r be -12*((-4209)/(-244))/(-69). Let -8/5*y**2 - 4/5 + 2*y**r - 22/5*y = 0. Calculate y.
-1, -1/5, 2
Let z(f) be the first derivative of f**4 + 35*f**3/3 - 5*f**2 - 5*f + 308. Let o be z(-9). Factor 2 + 2/9*p**o + 8/3*p - 8/9*p**3 - 4/9*p**2.
2*(p - 3)**2*(p + 1)**2/9
Suppose -3*z - 5*z + 16 = 0. Suppose 5*a**z - 290*a + 328*a + 0*a**2 + 212*a + 3125 = 0. Calculate a.
-25
Factor 1173*l**2 - 43931 + 48848*l - 71317 - 162920*l - 3*l**3.
-3*(l - 196)**2*(l + 1)
Suppose 2/3*r**5 - 310/3*r**2 + 424/3 + 144*r + 34*r**4 - 218/3*r**3 = 0. Calculate r.
-53, -1, 2
Factor -684/7 + 2/7*p**2 + 58/7*p.
2*(p - 9)*(p + 38)/7
Find i, given that -2/7*i**2 - 758/7*i - 2256/7 = 0.
-376, -3
Let d = -133 + 136. Factor -9*w**4 + 3*w**5 + 6*w**d + w**3 + 2*w**3 - 295*w**2 + 292*w**2.
3*w**2*(w - 1)**3
Let l(i) be the first derivative of i**4/4 - 10*i**3/3 - 12*i**2 - 235. Let w be l(12). Let 0 - 3*n**2 - 1/3*n**4 + 2*n**3 + w*n = 0. Calculate n.
0, 3
Let z be ((-116)/(-493))/(285/969). Suppose 6/5*q - 2/5*q**3 + 0 - z*q**2 = 0. Calculate q.
-3, 0, 1
Let r(k) be the third derivative of 1/320*k**6 + k + 0 - 1/240*k**5 + 0*k**3 + 0*k**4 - 6*k**2. Factor r(g).
g**2*(3*g - 2)/8
Factor 11990*a**2 + 1330672/3*a + 1295029/3 + 1/3*a**4 + 328/3*a**3.
(a + 1)*(a + 109)**3/3
Let n be -48 + 17/((-527)/(-1550)). Solve 3*l + 9 - 3/4*l**3 - 9/4*l**n = 0.
-3, -2, 2
Let r(w) be the first derivative of w**6/40 + 11*w**5/60 + w**4/2 + 2*w**3/3 - w**2/2 + w - 152. Let p(q) be the second derivative of r(q). Factor p(v).
(v + 1)*(v + 2)*(3*v + 2)
Factor -1/2*j**3 + 6*j**2 - 17/2*j - 15.
-(j - 10)*(j - 3)*(j + 1)/2
Solve 62/5*n**4 - 608/5*n + 40 + 674/5*n**2 - 326/5*n**3 - 2/5*n**5 = 0.
1, 2, 25
Let m(b) be the second derivative of b**7/21 - 8*b**6/15 - b**5/5 + 26*b**4/3 + 73*b**3/3 + 28*b**2 + b - 5. Find u, given that m(u) = 0.
-1, 4, 7
Let c(o) be the second derivative of o**5/100 - 13*o**4/15 - 53*o**3/30 - 2*o - 69. Factor c(b).
b*(b - 53)*(b + 1)/5
Let u = -310 - -322. Let c(d) = -10*d**3 - 16*d**2 + 78*d - 90. Let m(x) = -2*x**3 + x**2. Let g(f) = u*m(f) - 2*c(f). Determine j, given that g(j) = 0.
3, 5
Let b = 219 + -209. Let i be b/45 - -28*(-9)/(-162). Solve -i*a**2 + 4/9 - 10/3*a = 0.
-2, 1/8
Let c(i) be the second derivative of i**5/5 + 2*i**4/3 - 26*i**3 + 144*i**2 - 7*i - 23. Suppose c(t) = 0. Calculate t.
-8, 3
Let c(g) be the third derivative of g**8/33600 - g**7/525 - g**6/144 + 29*g**4/12 - 210*g**2. Let o(w) be the second derivative of c(w). Factor o(m).
m*(m - 25)*(m + 1)/5
Let v be (-697)/((-252)/21*(-1)/12). Let c = v - -697. Factor -1/9*r**3 + 2/9*r**2 + c + 0*r.
-r**2*(r - 2)/9
Let j(z) = 2*z**3 - 448*z + 35. Let a be j(-15). Let d(v) be the third derivative of -1/140*v**a + 0*v + 21*v**2 + 1/2*v**3 + 3/28*v**4 + 0. Factor d(s).
-3*(s - 7)*(s + 1)/7
Let n(r) be the second derivative of -1/3*r**4 - 2 + 0*r**2 + 2/3*r**3 + 142*r. Factor n(s).
-4*s*(s - 1)
Factor 4 - 2085672*h**2 - 4 - 2810*h + 2085667*h**2