 1)/3
Let u(p) be the second derivative of p**4/20 - 8*p**3/5 - 1131*p**2/10 - 606*p. Factor u(k).
3*(k - 29)*(k + 13)/5
Let n(k) be the third derivative of -k**6/300 + 338*k**5/75 - 28561*k**4/15 + 82*k**2 - 3. Factor n(d).
-2*d*(d - 338)**2/5
Let a(s) be the second derivative of -s**4/18 + 4*s**3 - 155*s**2/3 + 7792*s. Find n, given that a(n) = 0.
5, 31
Let o = -440 + 458. Factor 79*j - 19 - o - 4 + 2 - 2*j**2.
-(j - 39)*(2*j - 1)
Let d be (3685/(-201) - -20)/(-1 + 18/8). Determine x so that 64/3*x + 44/3*x**3 - 48*x**2 + 256/3 - d*x**4 = 0.
-1, 4
Suppose -1678/7*u - 3090/7*u**3 + 240/7 + 8/7*u**5 + 3586/7*u**2 + 934/7*u**4 = 0. What is u?
-120, 1/4, 1
Let z be (75 - 8/(-2)) + (-55)/(-11). Let t be 1/7 + 3/(z/4). Factor 4/7 + 2/7*q - t*q**2.
-2*(q - 2)*(q + 1)/7
Let j(r) be the third derivative of r**9/362880 - r**8/30240 - r**7/6048 + 43*r**5/60 - 16*r**2 - 2. Let m(b) be the third derivative of j(b). Factor m(a).
a*(a - 5)*(a + 1)/6
Let l be (-1455)/194*2/(-3). Let n(k) be the first derivative of 0*k**2 + 9/5*k**l - 3/4*k**4 - 2 + 0*k - 2*k**3. Suppose n(a) = 0. What is a?
-2/3, 0, 1
Let j(n) be the second derivative of -7*n**4/4 + 244*n**3 + 210*n**2 + 247*n + 3. Factor j(x).
-3*(x - 70)*(7*x + 2)
Let a(j) = j**3 - 7*j**2 - 218*j + 1346. Let p be a(6). Factor -13/6*b + 7/3 - 1/6*b**p.
-(b - 1)*(b + 14)/6
Let h(g) be the second derivative of 10*g**6/3 - 26*g**5 + 28*g**4 + 272*g**3/3 + 64*g**2 + 207*g. Factor h(t).
4*(t - 4)*(t - 2)*(5*t + 2)**2
Let l = 30524 - 274670/9. Solve l*m**2 - 10/9*m**3 + 0 + 20/9*m = 0.
-2/5, 0, 5
Let f be (-26)/104*(6 + -13 + -9). Factor 280/13*h**3 + 343000/13*h + 14700/13*h**2 + 3001250/13 + 2/13*h**f.
2*(h + 35)**4/13
Suppose -78*v = -44*v. Let a(l) be the third derivative of 10*l**2 + 0*l - 11/180*l**5 + 1/360*l**6 + 1/3*l**4 + v + 2*l**3. Determine b so that a(b) = 0.
-1, 6
Let c = -110186 - -110186. Factor c - 72/5*t - 96/5*t**2 - 2/5*t**4 - 26/5*t**3.
-2*t*(t + 1)*(t + 6)**2/5
Suppose 21*i - 2 = h + 19*i, 0 = 4*h + 2*i - 22. Let a(m) be the second derivative of 1/50*m**5 - 9*m + 0 + 0*m**2 + 4/15*m**3 + 2/15*m**h. Factor a(g).
2*g*(g + 2)**2/5
Let c(j) be the first derivative of -6*j + 1/6*j**4 + 54 + 2/9*j**3 - 3*j**2. Solve c(m) = 0 for m.
-3, -1, 3
Let q(t) be the first derivative of 18 + 26*t + 0*t**2 + 1/80*t**5 + 1/12*t**3 - 1/16*t**4. Let h(o) be the first derivative of q(o). Factor h(s).
s*(s - 2)*(s - 1)/4
Let -27*j**4 - 609*j + 31*j**2 - 30*j**2 - 216 + 477*j**3 + 81*j**2 + 189*j + 104*j**2 = 0. Calculate j.
-2/3, 1, 18
Let j be (-115)/(-46)*12/10. Let s(h) be the second derivative of 0*h**2 - 2/21*h**j + 0 - 1/42*h**4 + 4/35*h**5 - 1/21*h**6 - 6*h. Factor s(r).
-2*r*(r - 1)**2*(5*r + 2)/7
Let l(c) = -c - 33 - 13 + 0*c**2 + c**2. Let g(w) = -w**2 + w + 31. Let i be -2 - ((-352)/(-24) - 12)*(-15)/4. Let h(a) = i*g(a) + 5*l(a). Factor h(x).
-3*(x - 3)*(x + 2)
Suppose -4*g + q = 4*q - 191, -5*g = 5*q - 240. Let h = 51 - g. Factor -5*d**h + 4*d**4 + 2*d**5 - d**5.
d**4*(d - 1)
Let f(v) = -2*v**2 + 18*v - 6. Let y be f(5). Find r such that 34*r + 14*r**4 - 11 + 1 - y*r**3 + 1 - 2*r**2 - 3 = 0.
-1, 3/7, 1, 2
Let w(f) be the third derivative of -f**8/560 + 2*f**7/105 + 3*f**6/200 - 7*f**5/150 - f**2 - 286*f. Find k, given that w(k) = 0.
-1, 0, 2/3, 7
Suppose 3*g - 24 = 5*t, 337*t - 342*t + 56 = 7*g. Let l(b) = b**3 - 8*b**2 + 7*b + 2. Let f be l(7). Suppose 3/4*j + 3/4*j**f + t = 0. Calculate j.
-1, 0
Suppose 0 = -11*i + 10*i + 6*i. Determine p, given that 48*p + 140*p**2 - 15 - 161*p**2 - 21 + i*p + 3*p**3 = 0.
2, 3
Suppose -30*j + 47 + 2*j**2 + 34 - 29 = 0. Calculate j.
2, 13
Let d(q) be the second derivative of -4/3*q**2 - 27*q - 13/27*q**3 + 0 + 5/27*q**4 + 11/90*q**5. Factor d(y).
2*(y + 1)**2*(11*y - 12)/9
Suppose z = -4*g - 22, 10*z - 4*g = 8*z - 104. Let c be (1/(z/35))/(30/(-27)). Let 1/2*h**3 + 0 - c*h**2 + 0*h + 1/4*h**4 = 0. What is h?
-3, 0, 1
Suppose -d + 5 = -2. Suppose 1 = w - 3*m, 3*m = 3*w - 2*m - d. Solve -i**2 + 110*i + w - 110*i = 0 for i.
-2, 2
Let u(v) = -v**2 - 35*v - 96. Let r be u(-31). What is i in 4 + 5 - r*i + 0*i**3 + i**3 - 5*i**2 + 16*i**2 + 47*i = 0?
-9, -1
Let c(n) = 7*n**2 + 5*n - 6. Let p(r) = -8*r**2 - 5*r + 4. Suppose g + 6 = -z, 18 = -5*z - 5*g + 3*g. Let u(h) = z*p(h) - 3*c(h). What is a in u(a) = 0?
-2, 1
Let w = -587348/5 + 117484. Solve w*q**2 + 72/5*q - 142/5*q**3 - 32/5 + 6*q**4 = 0.
-2/3, 2/5, 1, 4
Let p(c) = 4*c**2 + 6*c. Suppose -2 - 16 = -3*v. Let r(n) = -114 + 226 - 112 - 30*n + 28*n - n**2. Let b(q) = v*p(q) + 20*r(q). Find g, given that b(g) = 0.
0, 1
Let j(v) be the first derivative of 1153*v**3 - 229 + 3072*v + 3168*v**2 + 99/2*v**4 + 3/5*v**5. Factor j(m).
3*(m + 1)**2*(m + 32)**2
Determine r so that -29797*r + 29861*r + 20*r**3 + 22*r**2 - 2*r**4 - 86*r**2 = 0.
0, 2, 4
Suppose 2*m - 8 = -4*a, -24 = -0*a - a + 5*m. Suppose -3*u + 7*u - 2*v = 2, 0 = u + a*v + 4. Suppose 3/2*q**2 + u - 9/2*q = 0. Calculate q.
0, 3
What is l in -5*l**2 - 35*l**2 - 580 + 65*l**2 + 705*l = 0?
-29, 4/5
Solve 242*z + 79*z**2 + 164 + 0*z**4 - 85*z**2 + 2*z**4 - 82*z**3 = 0.
-1, 2, 41
Let f(l) = -l**3 - 5*l**2 + 5*l - 3. Let q be f(-6). Solve 4*j**2 + 5*j**5 - j**3 + 2*j**3 - 21*j**4 + 8*j**4 + 3*j**q = 0 for j.
-2/5, 0, 1, 2
Let r(c) = c + 12. Let w be r(-7). Suppose -137 = w*g + x - 2449, 0 = 2*g - 3*x - 935. Find l, given that -3*l**2 + 463*l - g*l = 0.
0
Let b = 386656 + -386654. What is z in -3 + 6*z**b + 3/2*z - 3*z**4 + 3/2*z**5 - 3*z**3 = 0?
-1, 1, 2
Find h, given that 1107*h**2 + 2*h**4 - 219*h**3 + 12*h**4 - 573*h + 126 - 450*h**2 - 10*h**4 + 5*h**4 = 0.
1/3, 1, 2, 21
Let g(f) be the first derivative of 4*f**5/35 + 69*f**4/14 + 1178*f**3/21 + 192*f**2 - 1656*f/7 + 6986. Determine d, given that g(d) = 0.
-23, -6, 1/2
Let a = -2128 + 2128. Let h(q) be the third derivative of 0*q**4 + 14*q**2 + 0*q**5 + 0 + 0*q - 1/40*q**6 + 0*q**3 + 1/112*q**8 + a*q**7. Solve h(y) = 0 for y.
-1, 0, 1
Suppose 82 - 200 = -52*q - 7*q. Let -5/3*m**4 - 32/3*m**3 - 64/3*m - 24*m**q - 16/3 = 0. Calculate m.
-2, -2/5
Let d be (-4 - (-4 - 2))/1. Let b(k) = -k - 8. Let s be b(-12). Factor -v**3 - 6*v**5 - v**4 + d*v**s + 5*v**5 - v**2 + 2*v**3.
-v**2*(v - 1)**2*(v + 1)
Suppose 0 = -4*l + 5*f + 99, -14*l + 9*l + 150 = -f. Factor l*s**2 - 35 - 29*s**2 - 20*s + 13.
2*(s - 11)*(s + 1)
Let o = 2131631 + -4263253/2. Let -15*a**2 + 18*a**3 + 3/2*a**5 + 0 + o*a - 9*a**4 = 0. Calculate a.
0, 1, 3
Let p(x) be the third derivative of -x**5/270 + 17*x**4/54 + 65*x**3/9 - 5760*x**2. Factor p(y).
-2*(y - 39)*(y + 5)/9
Factor 5/2*q**3 - 20*q**2 - 910*q + 9800.
5*(q - 14)**2*(q + 20)/2
Suppose -4 = 2*y - 3*y. Let v(t) = -t**2 - 17*t - 19. Let w(x) = 18*x + 20. Let q(j) = y*v(j) + 6*w(j). Solve q(d) = 0 for d.
-1, 11
Let h be ((-2)/7)/(1/(-7)*1). Factor 10*v**2 - v**3 + 12*v**2 - 7*v**h.
-v**2*(v - 15)
Let p(i) be the second derivative of -i**7/420 + 7*i**6/240 + 7*i**5/30 + 5*i**4/12 - 26*i**2 + i - 41. Let o(q) be the first derivative of p(q). Factor o(g).
-g*(g - 10)*(g + 1)*(g + 2)/2
Suppose 3*c + 3 = 0, 296 = 5*s + 2*c - 12. Let m = -55 + s. Factor 25*b**2 + 3*b - 6*b**2 - m*b**2 + 4 - 13*b**2.
-(b - 4)*(b + 1)
Suppose -3*o + 19 = -11. Suppose p - 14 + o = 0. Find j such that -4*j**5 + 10*j**2 - 10*j + 10*j**3 - j**5 - 5 - 5*j**p + 5*j = 0.
-1, 1
Suppose 7*b = 44*b + 444. Let c be (-60)/126 + b/(-9). Solve -3/7*d**3 + 9/7*d**2 - c*d + 0 = 0.
0, 1, 2
Let i(d) be the second derivative of d**4/24 + 15*d**3/4 - 693*d**2/2 + 8868*d. Factor i(b).
(b - 21)*(b + 66)/2
Let o(y) be the first derivative of -y**4/4 + 117*y**3 - 41067*y**2/2 + 1601613*y - 776. Solve o(w) = 0 for w.
117
Let u be 12*10/(-15) + (160/(-56))/(2/(-7)). Find d, given that 0 - 4/5*d**u + 8/5*d = 0.
0, 2
Suppose -4*n = 2*j - 28, 5*n - 6 = -5*j + 34. Find o such that 639/5*o**j + 4332/5 + 3/5*o**4 - 3876/5*o + 102/5*o**3 = 0.
-19, 2
Let s(o) = 2*o**2 - 2*o. Let q(r) = -23*r**2 + 113*r - 240. Let w(i) = q(i) + 9*s(i). Factor w(t).
-5*(t - 16)*(t - 3)
Let j = 50 + -48. Suppose -2*i**2 - 6*i**2 - 5*i**2 - 65*i + 8*i**j = 0. What is i?
-13, 0
Determine o, given that -5/2 - 1/4*o**2 + 7/4*o = 0.
2, 5
Suppose 0 = a - 7*a + 18. Factor 6*s - 12 + 12*s**2 - 6*s - 2*s + 2*s**a.
2*(s - 1)*(s + 1)*(s + 6)
Suppose -4 = -5*j - 4*a, 4*a = -a - 2 + 7. Fa