of -4*f**5/5 + 3*f**4 + 48*f**3 - 216*f**2 + 519. Factor g(c).
-4*c*(c - 6)*(c - 3)*(c + 6)
Let f = -1133 + 1138. Let g(c) be the first derivative of 1/6*c**3 - 1/20*c**f + 0*c**2 - 8 - 1/4*c + 0*c**4. Factor g(v).
-(v - 1)**2*(v + 1)**2/4
Let j = 185263 + -185258. Suppose -1312/5*q - 3232/5*q**2 + 54*q**j - 972/5*q**4 - 3312/5*q**3 - 192/5 = 0. What is q?
-2/3, -2/5, 6
Suppose -2/11*y**3 + 34/11*y**2 + 38/11 + 74/11*y = 0. Calculate y.
-1, 19
Factor 3*h - 3*h**4 - 6*h**2 - 3/5 + 6*h**3 + 3/5*h**5.
3*(h - 1)**5/5
Suppose -3*m = -179 - 241. Let y be ((-1)/(-5))/(m/175). Factor 0 + 0*j**3 - 1/8*j**5 + y*j**4 - 1/4*j**2 + 1/8*j.
-j*(j - 1)**3*(j + 1)/8
Let j(b) = b**4 + 4*b**3 - 4*b**2 - 8*b + 9. Let k(c) = 3*c**4 + 15*c**3 - 12*c**2 - 33*c + 36. Let l(g) = -9*j(g) + 2*k(g). Suppose l(h) = 0. Calculate h.
-3, -1, 1
Let p(l) be the third derivative of 0*l + 0*l**3 + 0*l**4 + 1/60*l**5 + 1/120*l**6 + 0 + 11*l**2. Factor p(m).
m**2*(m + 1)
Let b(h) = 8*h**2 + 13*h + 40. Let r be b(-3). Factor -c**2 - r - c**2 - 18*c + 93.
-2*(c - 1)*(c + 10)
Suppose 4*y = s + 1 + 3, 0 = 2*s - 2*y - 4. Suppose n = s*n - 6. Factor 15*l**n - 3*l**3 - 3*l**4 + 679 - 679 - 9*l.
-3*l*(l - 1)**2*(l + 3)
Factor 2926/3*c**2 + 1048/3*c + 2548/3*c**3 + 40.
2*(7*c + 2)**2*(26*c + 15)/3
Let q be ((-224)/(-12)*76/(-133))/((-80)/24). Find h such that -q - 726/5*h**3 - 54/5*h**5 - 140*h**2 - 264/5*h - 328/5*h**4 = 0.
-2, -1, -2/27
Suppose -5*t = 2*p + 16, 26*p + 72 = -3*t + 17*p. Suppose 4*j + 14 = -k, 4*j + j + 22 = k. Suppose 8/3 - 2/3*r**k + t*r = 0. Calculate r.
-2, 2
Let h(w) = w**2 - 11*w - 9. Let x be h(12). Let f be 6 - (1344/80 + -12). Determine y so that 0*y + 0 - 3/5*y**x - f*y**2 = 0.
-2, 0
Let w = -1/22 - -49/110. Let c = 6771/33880 - -1/6776. Factor -w*s - 3/5 + c*s**2.
(s - 3)*(s + 1)/5
Factor -39709 + 1164*p + 39769 + 140*p**3 - 1347*p**2 - 17*p**3.
3*(p - 10)*(p - 1)*(41*p + 2)
Let i(u) be the second derivative of -u**5/120 - 5*u**4/36 - 8*u**3/9 - 8*u**2/3 - 3948*u. Solve i(w) = 0.
-4, -2
Let c(v) = 205*v**2 - 205*v + 2. Let u be c(1). Factor 2/7*z - 2/7*z**3 + 8/7 - 8/7*z**u.
-2*(z - 1)*(z + 1)*(z + 4)/7
Let c(j) be the second derivative of 0 - 35/2*j**2 + 5/12*j**4 + 5*j**3 + 88*j. Factor c(x).
5*(x - 1)*(x + 7)
Factor 0 - 3/4*l**2 - 3*l + 3/8*l**3.
3*l*(l - 4)*(l + 2)/8
Suppose 36*x = 35*x + 2, 2*x - 169 = -5*j. Let b(v) be the third derivative of 0*v**3 + 0*v + 1/60*v**5 - j*v**2 + 0 - 1/24*v**4. Factor b(c).
c*(c - 1)
Let z(d) be the third derivative of 1/210*d**7 - 1/252*d**8 + 0 + 0*d**4 + 0*d**3 + 0*d - 16*d**2 + 1/90*d**5 + 1/40*d**6. Determine a so that z(a) = 0.
-1, -1/4, 0, 2
Let w be -2 - 10/((-4840)/979). Let v(z) be the first derivative of -4/33*z**3 + 2/11*z**2 + 0*z + w*z**4 + 8. Factor v(y).
y*(y - 2)**2/11
Let o(l) be the third derivative of -1/5*l**6 + 0 + 3/5*l**5 + 44*l**2 + 0*l + 2/3*l**4 - 8*l**3 + 2/105*l**7. Solve o(t) = 0.
-1, 2, 3
Let y = 4588/8715 - -4/581. Let p(t) be the second derivative of 1/25*t**5 - 22*t + 0 + 14/15*t**3 + 0*t**2 + y*t**4. Factor p(s).
4*s*(s + 1)*(s + 7)/5
Let h(i) = 10*i**3 - 465*i**2 + 18263*i - 17773. Let b(t) = 7*t**3 - 310*t**2 + 12176*t - 11848. Let g(j) = 7*b(j) - 5*h(j). Factor g(z).
-(z - 77)**2*(z - 1)
Let v = -31 - -34. What is a in -3*a**v - 3*a + 24*a**2 + 18*a**2 - 48*a**2 = 0?
-1, 0
Let 702/11*j**2 - 2/11*j**4 + 60/11*j**3 + 0*j + 0 = 0. Calculate j.
-9, 0, 39
Let f(j) be the first derivative of -j**3 - 123*j**2 - 480*j + 68. What is s in f(s) = 0?
-80, -2
Suppose 30 = 11*g - 5*g. Suppose 11 = -g*h + 21. Factor -3 - 12*m**3 + 8*m**h + 11 + 28*m + 0.
-4*(m - 2)*(m + 1)*(3*m + 1)
Find f, given that -110830 - 4*f**2 + 221644 + 9*f**2 - 110825 + f**3 - f + 6*f**2 = 0.
-11, -1, 1
Let f = 2/3302030217 - -2708398556256/10197769986835. Let m = f + 2/1853. Factor 0*p**3 + m*p + 2/15*p**4 + 0 - 2/5*p**2.
2*p*(p - 1)**2*(p + 2)/15
Let f(a) = 4*a**4 - 33*a**3 - 4*a**2 + 36*a. Let m(n) = 36*n**4 - 296*n**3 - 36*n**2 + 324*n. Suppose 49 = -10*c + 19. Let r(u) = c*m(u) + 28*f(u). Factor r(p).
4*p*(p - 9)*(p - 1)*(p + 1)
Let b(r) be the third derivative of 0 - 109*r + 1/120*r**5 + 1/6*r**3 - 1/16*r**4 + r**2. Find q such that b(q) = 0.
1, 2
Let v be ((-1)/2)/((3 - -6)/(-54)). Let g(d) = -3*d**2 + 62*d - 119. Let k(z) = z**2 - 30*z + 59. Let p(x) = v*g(x) + 7*k(x). Factor p(m).
-2*(m - 2)*(m + 14)
Let s be (-4)/(8/21)*(-80)/140 + -4. Let n(y) be the second derivative of 3*y**4 + 54*y**s + 18*y**3 + 0 - 20*y + 1/5*y**5. Factor n(a).
4*(a + 3)**3
Let w = 33814 - 33812. Factor 3/4*h**w + 0 - 3/4*h**4 + 3/4*h**3 - 3/4*h.
-3*h*(h - 1)**2*(h + 1)/4
Factor h**2 - 411/4 - 407/4*h.
(h + 1)*(4*h - 411)/4
Suppose -5*z = -6*z + 2. Solve -59 - 3*j**4 + 9*j**z - 3*j + 28 + 3*j**3 + 25 = 0.
-1, 1, 2
Let d(n) be the second derivative of n**5/20 + 15*n**4/8 - 8*n**3 - 33*n**2 + 111*n. Let l(f) be the first derivative of d(f). Determine r, given that l(r) = 0.
-16, 1
Determine d so that -28*d**2 + 85 - d**3 - 27 - 27*d - 58 = 0.
-27, -1, 0
Let z(g) be the third derivative of 23*g**8/504 - 941*g**7/315 - 1493*g**6/36 - 1133*g**5/6 - 631*g**4/2 - 96*g**3 - 7*g**2 - 120*g. Solve z(b) = 0.
-3, -1, -2/23, 48
Let m(h) = -h**3 + 17*h**2 - 12*h - 141. Let z be m(14). Let g = z + -1394/5. Determine c, given that 6/5 + c**3 - g*c**4 - c - c**2 = 0.
-1, 1, 2, 3
Let m be 4/2 + -2 + 16. Let u = 124 - 122. Factor -6*z + 20*z**2 + 5 + m*z**2 + 26*z - 21*z**u.
5*(z + 1)*(3*z + 1)
Let r(k) be the second derivative of k**5/70 + 11*k**4/42 + 4*k**3/21 - 60*k**2/7 + 2066*k. Factor r(z).
2*(z - 2)*(z + 3)*(z + 10)/7
Suppose -13*k + 3088 - 2906 = 0. Solve k*f**2 - 6/7*f**3 + 176/7*f + 72/7 = 0.
-1, -2/3, 18
Let w(t) be the second derivative of -5/3*t**3 - 2*t - 11 + 1/6*t**4 + 6*t**2. Factor w(i).
2*(i - 3)*(i - 2)
Let k be 420/126 + (-10)/(-6). Suppose 3*f + 36 = -3*l + 42, -2*f = k*l - 16. Factor 7/2*c**l + 4*c**2 + 2*c - 19/2*c**3 + 0.
c*(c - 2)*(c - 1)*(7*c + 2)/2
Let h(z) = z**3 - 22*z**2 + 22*z + 1. Let d be h(1). Let t(b) be the third derivative of 1/44*b**4 + 0*b**3 + 0 + 0*b - 1/330*b**5 - 22*b**d. Factor t(i).
-2*i*(i - 3)/11
Let x(s) be the second derivative of s**7/13860 + s**6/1320 - 22*s**4/3 - s**3/3 + 29*s. Let i(d) be the third derivative of x(d). Solve i(f) = 0.
-3, 0
Let q = 1/6316 + 12625/44212. Find o such that -2/7*o**2 + 8/7*o + 8/7 - q*o**3 = 0.
-2, -1, 2
Let f(u) be the third derivative of -1/8*u**6 + 0*u**3 + 0*u - 7/20*u**5 + 0*u**4 + 0 + 40*u**2. Factor f(n).
-3*n**2*(5*n + 7)
Suppose n = 3*r + 2*r - 45, 3*r = 6. Let w be (n/14 - -2)*(-4)/5. Determine o, given that -w*o**3 + 0 + 2/15*o**2 + 4/15*o = 0.
-2/3, 0, 1
Let l(u) be the first derivative of -u**5/25 - 23*u**4/20 - 21*u**3/5 - 61*u**2/10 - 4*u - 1124. Factor l(b).
-(b + 1)**3*(b + 20)/5
Suppose -3407 = -20*p + 1873. Factor -308*m**3 + 208*m - 32 - 10*m**4 + 226*m**4 - p*m**2 - 20*m**4.
4*(m - 2)*(m + 1)*(7*m - 2)**2
Suppose -84*t + 167*t - 104 = 57*t. Let g(n) be the first derivative of -10*n**2 - 2/3*n**3 - 16*n + 1/2*n**t + 30. Factor g(a).
2*(a - 4)*(a + 1)*(a + 2)
Let w = -985 - -992. Suppose -13 = -2*f + n - 3, -2*n + w = 5*f. Find v, given that 0 - 3/4*v**2 - 3/8*v - 3/8*v**f = 0.
-1, 0
Let q(m) be the first derivative of -4*m**3 + 0*m**2 + 7/4*m**4 + 31 - 30*m + 3/20*m**5. Let a(o) be the first derivative of q(o). Factor a(s).
3*s*(s - 1)*(s + 8)
Let c be ((-36)/14 - 2)/(18836/3808 + 30/(-6)). Suppose 32*b - c*b**2 - 3 = 0. What is b?
3/16
Suppose 3*b - 60 = -b - 4*o, -5*b + 63 = -o. Suppose -5*w**3 - 11*w**3 + b*w**3 - 585*w + 675 - 87*w**2 = 0. What is w?
-15, 1
Factor 136 - 24*q - 9*q - 35*q + 61*q**2 - 4*q - 59*q**2.
2*(q - 34)*(q - 2)
Let x(q) = -11*q - 380. Let n be x(-35). Let a be 44/156*33 - 4 - n. Factor -a - 2/13*b**3 + 2/13*b + 4/13*b**2.
-2*(b - 2)*(b - 1)*(b + 1)/13
Let j(h) be the second derivative of -h**4/54 - 2*h**3/9 - 8*h**2/9 + 2*h + 536. Factor j(l).
-2*(l + 2)*(l + 4)/9
Factor -3872/5 + 9/5*p**3 - 794/5*p**2 + 3520*p.
(p - 44)**2*(9*p - 2)/5
Let s(b) = -2*b + 3*b + 2 - 3*b + 2*b**3 + 9*b. Let r be s(6). Suppose 2*d**2 + 36*d**3 - r*d**4 - 10*d**2 + 448*d**4 = 0. What is d?
0, 2/7, 1
Let x be 2*(7150/(-1300))/(22/(-6)). Factor 1/3*a**x - 16/3*a**2 + 16/3 - 1/3*a.
(a - 16)*(a - 1)*(a + 1)/3
Let x = -742 - -731. Let s(k) = k**3 + 11*k**2