i**6. Factor y(f).
-4*f*(f - 7)*(f - 1)*(7*f - 2)
Let n(h) be the third derivative of h**5/150 - 4279*h**4/180 - 2854*h**3/45 - 526*h**2. Factor n(b).
2*(b - 1427)*(3*b + 2)/15
Factor -3*q**4 - 92 - 32*q + 14*q + 21*q**2 + 44 + 48.
-3*q*(q - 2)*(q - 1)*(q + 3)
Determine z, given that 62/3*z**2 + 7/3*z**3 - 20 - 2/3*z**4 - 7/3*z = 0.
-4, -1, 1, 15/2
Let x(s) = -s**2 - 5*s + 7. Let p be x(-7). Let a be (-92)/(-28) - (12/p - -2). Factor 4*w**2 + 4*w**a + 1 - 3*w**3 - 5*w**2 - w.
(w - 1)**2*(w + 1)
Factor 23460*n**2 + 338*n + 252 - 23121*n**2 + 45*n**3 + 209*n - n**4 + 2*n**4.
(n + 1)**2*(n + 7)*(n + 36)
Let j(o) = o**3 + o**2 + 20. Let g be j(-4). Let w be ((-322)/g - 10) + (-22)/20. Factor 8/5*s**2 + 4/5 + 2*s + w*s**3.
2*(s + 1)**2*(s + 2)/5
Suppose 0*p - 5*p - 10 = 0, -5*p = -2*s + 14. Factor -3*k**3 - 20*k + 114*k**4 - 4*k**3 - 8 - 18*k**s - 115*k**4.
-(k + 1)*(k + 2)**3
Suppose 2588 = 219*d + 1213 - 2786. Let x(r) be the first derivative of 15*r + 6*r**2 + 1/4*r**3 + d - 3/16*r**4. Factor x(k).
-3*(k - 5)*(k + 2)**2/4
Let q(n) = n**3 + n. Let l(s) = -75*s**4 - 148*s**3 + 57*s**2 + 98*s - 36. Suppose 10 = 26*x - 16. Let z(p) = x*l(p) - 2*q(p). Let z(a) = 0. What is a?
-2, -1, 2/5, 3/5
Let n(y) be the first derivative of -49*y**2 + 18 + 28*y**3 + 27/8*y**4 + 1/10*y**5 + 0*y. Let n(o) = 0. What is o?
-14, 0, 1
Factor 1227/5*a - 246*a**2 + 3/5.
-3*(a - 1)*(410*a + 1)/5
Suppose -84*k + 88 + 248 = 0. Let u(t) be the second derivative of 11*t + 0*t**2 + 0 + 1/18*t**3 - 1/18*t**k + 1/60*t**5. Factor u(f).
f*(f - 1)**2/3
Let p = 101504/11 - 710418/77. Factor p*m**2 - 10/7 + 2/7*m - 2/7*m**3.
-2*(m - 5)*(m - 1)*(m + 1)/7
Find g, given that 4420/7*g + 736/7 + 6648/7*g**2 + 36/7*g**3 = 0.
-184, -1/3
Determine o, given that 179 - 119790*o + 80*o**2 + 109 + 4*o**3 + 119418*o = 0.
-24, 1, 3
Let l(c) = -5*c**3 + 2*c**2 + 39*c - 6. Let p(a) = -35*a**3 + 15*a**2 + 270*a - 45. Let o(m) = 15*l(m) - 2*p(m). Factor o(v).
-5*v*(v - 3)*(v + 3)
Let k(m) be the first derivative of 2*m**5/5 - 15*m**4/2 - 142*m**3/3 - 93*m**2 - 76*m + 5098. Find a such that k(a) = 0.
-2, -1, 19
Let y(p) = p**3 + 5*p**2 + 5*p. Let j be y(-2). Suppose j*m - 4 = 4. Factor -5 + m*d**4 + 5 - 12*d**2 + 8*d.
4*d*(d - 1)**2*(d + 2)
Let z(u) be the second derivative of 0 - 5/14*u**2 - 1/7*u**3 + 191*u - 1/84*u**4. Factor z(w).
-(w + 1)*(w + 5)/7
Let a(s) = 7*s**2 + 96*s - 24. Let n be a(-14). Let q(w) be the third derivative of 0*w**3 + 0 - 1/15*w**5 + 1/6*w**n + 0*w + 6*w**2. Factor q(x).
-4*x*(x - 1)
Suppose -b + 770 = 119*b - 790. Let w(a) be the first derivative of -10*a - 5/3*a**3 + b + 15/2*a**2. Factor w(s).
-5*(s - 2)*(s - 1)
Let g be (1995/304)/(-21)*184/(-115). Find v, given that -g*v**3 + 2 + 2*v - 1/2*v**2 = 0.
-2, -1, 2
Factor 1072/13 + 532/13*o - 2/13*o**2.
-2*(o - 268)*(o + 2)/13
Let r(q) be the first derivative of -2*q**5/5 + q**4/8 + q**3/2 - 2125. Factor r(n).
-n**2*(n - 1)*(4*n + 3)/2
Suppose 8198 = 18*r - 13*r - 3*x, 2*r + x - 3277 = 0. Let w = r - 1639. Factor 1/3*c**5 + w*c + c**4 + 0*c**3 + 0*c**2 + 0.
c**4*(c + 3)/3
Let p(i) = 5*i**2 + 7*i - 63. Let a be p(12). Let w = 2239/3 - a. Determine b, given that -4/3*b**2 + 4/3*b**3 + w - 16/3*b = 0.
-2, 1, 2
Suppose 4*j + 5*v - 10 = 0, 54*v - 8 = 4*j + 50*v. Solve -2/13*i**2 + j - 4/13*i = 0 for i.
-2, 0
Let c(p) = -p**3 - p**2 + 2. Let b = -43 - -45. Let j(g) = -g**2 - 4*g**3 + 0*g**2 + 7 - 3*g**2. Let u(s) = b*j(s) - 7*c(s). Factor u(t).
-t**2*(t + 1)
Let a(m) = m**2 - 7*m - 137. Let q be a(16). Factor -46*d - 7 + 158*d + 103 - d**2 - 12*d**3 - 2*d**4 + q*d**2.
-2*(d - 3)*(d + 1)*(d + 4)**2
Let r = 5 + -3. Suppose -32 = 29*m - 45*m. Factor 21*l**m - 14*l**4 - 8*l**2 - 24*l**3 - 5*l**r.
-2*l**2*(l + 2)*(7*l - 2)
Let m(j) = 37*j + 1521. Let q be m(-41). Let l(d) = -d**2 + 4*d + 5. Let o be l(4). Factor 33*g**3 - 2*g**q - 31*g**3 - 2*g**5 - 3 + g**o + 1 - g + 4*g**2.
-(g - 1)**2*(g + 1)**2*(g + 2)
Let p(q) be the first derivative of 1/45*q**6 - 4/25*q**5 + 63 - 32/45*q**3 - 4/15*q + 7/15*q**4 + 3/5*q**2. Factor p(l).
2*(l - 2)*(l - 1)**4/15
Let u(c) be the third derivative of -c**7/70 + 41*c**6/40 - 219*c**5/10 + 40*c**4 + 400*c**3 - 3164*c**2. Solve u(z) = 0.
-1, 2, 20
Let q(c) be the third derivative of -c**6/160 - 3*c**5/40 + 9*c**4/32 + 7*c**3/4 + 946*c**2. Factor q(x).
-3*(x - 2)*(x + 1)*(x + 7)/4
Let y(b) = -6*b**3 + 857*b**2 - 180606*b - 364638. Let m(r) = r**3 - r**2 - 3*r - 4. Let h(p) = -5*m(p) - y(p). Factor h(w).
(w - 427)**2*(w + 2)
Let z = -2652662/9 - -294742. Determine k so that 448/9*k - 256/9 - 4/9*k**5 + z*k**4 + 32/9*k**3 - 256/9*k**2 = 0.
-4, 2
Find l, given that -98 - 2513/2*l - 968*l**3 - 4180*l**2 = 0.
-4, -7/44
Let f(i) = 13*i**3 - 502*i**2 + 5*i + 520. Let n(o) = -6*o**3 + 252*o**2 - 2*o - 260. Let v(d) = -4*f(d) - 9*n(d). Factor v(b).
2*(b - 130)*(b - 1)*(b + 1)
Suppose 49/4*g**3 + 0*g + 1/4*g**4 - 25/2*g**2 + 0 = 0. Calculate g.
-50, 0, 1
Determine o, given that -6/13*o**4 - 1534*o**2 - 27848/13*o + 0 + 700/13*o**3 = 0.
-4/3, 0, 59
Let k be (-6)/16*(-67552)/10555. Let -k*i - 3/5*i**2 + 0 = 0. Calculate i.
-4, 0
Let y(f) = 5*f**3 + 54*f**2 - 55*f. Let p(w) = -484*w - 36*w**3 + 868*w - 267*w**2 - 101*w**2 - 10*w**2. Let g(q) = 2*p(q) + 15*y(q). Factor g(r).
3*r*(r - 1)*(r + 19)
Factor 969/2*j**2 - 105/2*j**3 + 0 - 867/2*j + 3/2*j**4.
3*j*(j - 17)**2*(j - 1)/2
Let m be (-627)/(-57) - 185/25. Let j(x) be the first derivative of -m*x**2 - 3/25*x**5 - 9/10*x**4 - 12/5*x - 2 - 13/5*x**3. Factor j(s).
-3*(s + 1)**2*(s + 2)**2/5
Let o(h) be the second derivative of -h**7/273 + 82*h**6/195 + 846*h**5/65 + 1764*h**4/13 + 7200*h**3/13 - 8070*h. Let o(a) = 0. What is a?
-6, 0, 100
Let y(m) = -m**2 - m + 10. Let c be y(-3). Suppose -g + 2*q - 4 = 0, 0 = -c*q + 12. Find v such that -108*v**2 + 96*v**g + v**3 + 0*v**3 - 4*v**3 = 0.
-4, 0
Let z(n) be the second derivative of -n**5/5 - 3*n**4 + 1221*n. Factor z(k).
-4*k**2*(k + 9)
Suppose 0 = 4*i - 4*w + 96, -5*w = -9*w + 12. Let y be (-55)/(-17) - (-7)/(49/i). Factor -2/17*h + 4/17*h**2 - y + 2/17*h**3.
2*(h - 1)*(h + 1)*(h + 2)/17
Let l(s) be the third derivative of -3/4*s**5 - 3/2*s**3 - 7/80*s**6 + 5 + 0*s - 29/16*s**4 - 3*s**2. Let l(t) = 0. What is t?
-3, -1, -2/7
Let c(i) be the first derivative of -i**4/12 + 130*i**3/9 - 383*i**2/6 + 254*i/3 + 3800. Factor c(p).
-(p - 127)*(p - 2)*(p - 1)/3
Let h(w) be the third derivative of w**5/20 - 21*w**4/8 + 34*w**3 + 280*w**2. Factor h(k).
3*(k - 17)*(k - 4)
Let h(q) = -q**3 + q**2 + 6*q + 25. Let k be h(0). Let -2*j - 21*j**3 - k*j + 2*j + 16*j**3 - 30*j**2 = 0. Calculate j.
-5, -1, 0
Let c be -30 + ((-12444)/(-442) - -2). Suppose -c*p**3 + 38/13*p + 8/13*p**2 + 28/13 = 0. Calculate p.
-2, -1, 7
Let i(l) be the first derivative of 0*l**2 - 46 - 5*l**4 - 40/3*l**3 + 5/6*l**6 + 0*l + 2*l**5. Factor i(d).
5*d**2*(d - 2)*(d + 2)**2
Let r(g) = g**3 - 10*g**2 - 12*g + 14. Let d be (-2)/32 - (-4248)/384. Let i be r(d). Find p, given that 0 - 1/4*p**i + 0*p + 1/4*p**2 = 0.
0, 1
Let n be ((-2)/(-6))/((-138)/(-36) + -3). Let p be (-67)/(-2546) + (-1115)/(-950). Factor n - p*d + 6/5*d**2 - 2/5*d**3.
-2*(d - 1)**3/5
Find v such that -47*v**2 - 4*v**2 - 10*v**2 + 264 - 15*v**2 - 1748*v - 4*v**2 = 0.
-22, 3/20
Factor -54*c**3 - 280*c**3 - 6*c**4 - 295*c**3 + 155*c**3 + 4*c**4.
-2*c**3*(c + 237)
Suppose 4*b = -2*q + 14, 3*b - 1 = 2*q - 8. Suppose 0 = 2*a + 2*z - 30, -q*z - 9 = 3*a - 44. Suppose -6*l**2 + l - a - 3*l + l**2 - 18*l = 0. Calculate l.
-2
Suppose n + j - 316 = 0, -2*j + 312 = n - 5*j. Let t be 126/n*(-40)/(-42). Suppose -2/21*u**2 + t + 0*u = 0. What is u?
-2, 2
Let u(g) be the second derivative of g**5/150 - 13*g**4/15 + 47*g + 9. Factor u(k).
2*k**2*(k - 78)/15
Let w be 3/((1/(-14))/((-20)/24)). Suppose 5*n - w = -4*f - f, -3*n = f - 17. Factor 0 + 22/5*r**f - 4/5*r.
2*r*(11*r - 2)/5
Let q(x) be the third derivative of -x**7/140 - 19*x**6/80 + 11*x**5/20 + 5*x**4/2 + 36*x**2 + 2*x - 56. Suppose q(i) = 0. What is i?
-20, -1, 0, 2
Let o = -126 + 131. Factor 6 - o*w**2 + 39*w - 26*w - 26*w.
-(w + 3)*(5*w - 2)
Let t(g) be the third derivative of g**7/105 + 23*g**6/20 + 611*g**5/15 + 85*g**4 - 2312*g**3/3 - 3*g**2 + 2*g + 962. Factor t(w).
2*(w - 1)*(w + 2)*(w + 34)**2
Find k, given that 1/3*k**3 + 15*k**2 + 0 - 94/3*k =