**2 + 103*g - 257. Let y(m) = 5*m**3 + 23*m**2 + 34*m - 86. Let c(l) = -6*b(l) + 17*y(l). Factor c(u).
-5*(u - 1)*(u + 4)**2
Let c(l) = l**3 + 9*l**2 + 2*l - 84. Let d be c(-7). Let o(j) be the third derivative of -1/84*j**4 - 1/210*j**5 - 7*j**2 + 0*j**3 + 0*j + d. Factor o(k).
-2*k*(k + 1)/7
Let i(c) = -4*c - 13. Let w be i(-7). Let 17*q**2 - 42*q**2 + 14*q**2 + 20*q + w*q**2 + 16 = 0. What is q?
-4, -1
Let l be 5 + 10 + (-35992)/2400. Let n(d) be the third derivative of 0 + 0*d**4 + 1/1050*d**7 + 0*d + d**2 + 1/300*d**5 + 0*d**3 + l*d**6. Factor n(a).
a**2*(a + 1)**2/5
Let s be (3 - (-28)/(-10))*(-175)/(-21). Let z(g) be the first derivative of 9 - s*g**3 + 0*g - 5/2*g**2. Factor z(y).
-5*y*(y + 1)
Let o(p) = 90*p**2 - 2100*p + 12235. Let m(n) = 45*n**2 - 1050*n + 6117. Let f(l) = 15*m(l) - 8*o(l). Factor f(h).
-5*(3*h - 35)**2
Let i(x) = -3*x**2 - 76*x - 218. Let u be i(-3). Let t be (-46)/(-391) + (-8)/u. Factor t*y**2 - 2/17*y**3 - 16/17 - 4/17*y.
-2*(y - 4)*(y - 2)*(y + 1)/17
Factor 0 + 5/4*h**2 - 1/4*h**3 - 3/2*h.
-h*(h - 3)*(h - 2)/4
Suppose 23*t = 911 + 55. Let j be t + -35 - 5*1. Let -3/4*c**4 - 3/2*c**3 + 0*c - 3/4*c**j + 0 = 0. What is c?
-1, 0
Let l be 9 + 2/3 + (-42)/9. Suppose -12*v = -l*v + 6*v. Solve -2/5*t**2 - 1/5*t**3 + v - 1/5*t = 0 for t.
-1, 0
Let f(h) = -250*h**3 + 738*h**2 - 771*h - 221. Let p(o) = -25*o**3 + 76*o**2 - 77*o - 22. Let a(g) = -2*f(g) + 21*p(g). Let a(k) = 0. What is k?
-1/5, 1, 4
Let a = 51461/17 + -3027. Let y(b) be the first derivative of 2/17*b**5 + 0*b + 14/51*b**3 + 1/51*b**6 + a*b**2 + 9/34*b**4 - 6. Suppose y(q) = 0. What is q?
-2, -1, 0
Let m be -14 + -1 - 186660/(-8540). Suppose m + 6/7*c**2 - 36/7*c = 0. Calculate c.
2, 4
Suppose -12*j + 7 = 547. Let p be -7 - (693/j - -8). Find y such that 2*y - 12/5 - p*y**2 = 0.
2, 3
Let h(q) be the first derivative of q**3/3 + 21*q**2/2 + 38*q - 78. Let b be h(-19). Factor -2/5*o**4 + 0*o - 2/5*o**2 + 4/5*o**3 + b.
-2*o**2*(o - 1)**2/5
Let d(f) = f**3 - 8*f**2 - 8*f + 3. Let l be d(9). Suppose 3*c + 4*i - 2 - l = 0, c + 6 = 4*i. Solve -5*t**c - 8*t + t - 3*t = 0 for t.
-2, 0
Let g(m) be the third derivative of m**6/480 + 11*m**5/240 - 5*m**4/12 + 7*m**3/6 + 3*m**2 + 250. Factor g(h).
(h - 2)*(h - 1)*(h + 14)/4
Let g(v) be the first derivative of v**4/18 - 130*v**3/27 + 247*v**2/9 - 122*v/3 - 2726. What is n in g(n) = 0?
1, 3, 61
Let u = -1090 + 1094. Let b be (-66)/(-4) - 1/(-2). Factor -u*s**4 - 23*s**2 - b*s**4 + 3*s**2 + 5*s**5 + 30*s**3 + 5*s + s**4.
5*s*(s - 1)**4
Let i be 0 - (-22)/(165/15). Let d(q) be the first derivative of i + q**5 - 125*q + 40*q**3 - 25/2*q**4 + 25*q**2. What is v in d(v) = 0?
-1, 1, 5
Suppose -4*x + 11 = 10*b - 17*b, 4*x + 3*b + 39 = 0. Let g be (-216)/(-162) + (-4)/x. Let 12*p + 4/3*p**g + 0 = 0. Calculate p.
-9, 0
Let v(a) be the third derivative of a**8/1176 - 41*a**7/735 + a**2 - 352. What is f in v(f) = 0?
0, 41
Suppose -u + 3 + 9 = 0. Suppose -3*f + u = 2*s - 3*s, -3*f = s - 18. Factor 0*z + 281*z**3 - 277*z**3 + 1 - s*z.
(z + 1)*(2*z - 1)**2
Let j(x) be the first derivative of 2*x**6/3 - 56*x**5/5 - 32*x**4 - 1082. Suppose j(m) = 0. Calculate m.
-2, 0, 16
Let d(n) = -2*n - 5. Let p be d(-4). Factor -x**4 - x**2 - 2*x**p - 31*x + 31*x.
-x**2*(x + 1)**2
Let o = 83 - 17. Factor -70 + 94 - 65*i + 50*i**3 + o*i**2 + 44*i**2 - 47*i.
2*(i + 3)*(5*i - 2)**2
Let k = -3088 + 46321/15. Let f(c) be the third derivative of k*c**4 + 0*c**6 + 0*c - 1/50*c**5 + 0 + 9*c**2 - 1/10*c**3 + 1/1050*c**7. What is t in f(t) = 0?
-3, 1
Let h(p) be the first derivative of p**5/25 - 2*p**4/15 - 2*p**3 + 72*p**2/5 + 29*p + 143. Let l(m) be the first derivative of h(m). Factor l(g).
4*(g - 3)**2*(g + 4)/5
Let q be (-14)/(-6)*(4660/560 - 8). Solve q*t**2 - 27/4*t - 15/2 = 0 for t.
-1, 10
Let k(u) = -5*u**2 - 3*u - 3. Let f(z) = 22*z**2 - 345*z - 693. Let a(r) = f(r) + 5*k(r). Let a(b) = 0. What is b?
-118, -2
Let l(j) = -27*j - 16*j + 32*j - 21 - 9*j**2. Let p(y) = -14*y**2 - 16*y - 32. Let m(b) = -8*l(b) + 5*p(b). Factor m(z).
2*(z + 2)**2
Solve 522/7*h**2 + 1026/7 - 1545/7*h - 3/7*h**3 = 0 for h.
1, 2, 171
Determine w, given that -26/7*w**2 - 24/7 + 2/7*w**4 + 50/7*w - 2/7*w**3 = 0.
-4, 1, 3
Let u(m) be the third derivative of 4 + 7/300*m**5 + 3/10*m**3 + 17/120*m**4 - 1/600*m**6 - 29*m**2 + 0*m. Factor u(c).
-(c - 9)*(c + 1)**2/5
Let j(y) be the third derivative of y**5/210 - 13*y**4/12 + 10*y**2 - 32*y. Factor j(a).
2*a*(a - 91)/7
Let s(z) be the second derivative of 3 + 1/84*z**7 + 1/4*z**4 + 38*z - 1/15*z**6 + 0*z**3 + 1/40*z**5 + 0*z**2. Solve s(g) = 0 for g.
-1, 0, 2, 3
Let m(u) be the second derivative of u**6/180 + u**5/30 - u**4/4 + 5*u**3/9 - 45*u**2/2 + 29*u - 1. Let q(y) be the first derivative of m(y). Factor q(d).
2*(d - 1)**2*(d + 5)/3
Let v(h) be the first derivative of 3*h**4/4 - 2172*h**3 + 1769094*h**2 - 5310. Determine f so that v(f) = 0.
0, 1086
Let p be (-147)/(-63) - (-3)/(-9). Factor 159*f**3 - f**5 - 729*f**p + 2*f**5 + 723*f**3 - 99*f**3 - 55*f**4.
f**2*(f - 27)**2*(f - 1)
Factor -8*v**4 - 56*v**3 + 163242 + 3*v**5 - 32*v**2 + 48*v - 163242.
v*(v - 6)*(v + 2)**2*(3*v - 2)
Let h(k) be the first derivative of 2*k**5/105 - 11*k**4/21 - 80*k**3/9 + 22*k**2/21 + 186*k/7 + 12720. Determine r so that h(r) = 0.
-9, -1, 1, 31
Let h(s) be the third derivative of -s**5/9 - 35*s**4/24 + 5*s**3 + 2*s**2 - 169*s - 11. Factor h(m).
-5*(m + 6)*(4*m - 3)/3
Let x = -819938 + 13939018/17. Determine t, given that -30/17*t - x - 2/17*t**2 = 0.
-12, -3
Let r be (18/(-2))/((-12)/4). Factor -3*c**5 - 12*c**r - 18*c**3 - 3*c**5 + c**5 - 25*c**4.
-5*c**3*(c + 2)*(c + 3)
Let p = 164 - 38. Let z be 8/(((-16)/40)/(14/(-10))). What is d in -z*d**2 - p*d + 41 - 6*d - 1 = 0?
-5, 2/7
Let f = -383 - -243. Let d be (-60)/(-36)*(-24)/f. Find l such that 2/7*l**2 + d*l + 0 = 0.
-1, 0
Let h = 433 + -532. Let u be (1/3 - h/27)/1. Factor 0*x + 0 - 3/7*x**u - 3/7*x**3 + 3/7*x**2 + 3/7*x**5.
3*x**2*(x - 1)**2*(x + 1)/7
Suppose -33*q = -37*q - 4*m, 20 = 5*q - 5*m. Let k be (q/(-8))/(144/(-384)). Factor 1/6*v**5 + 0 + 1/6*v + 2/3*v**4 + k*v**2 + v**3.
v*(v + 1)**4/6
Let a(g) be the second derivative of 18 + 3/44*g**4 + 0*g**2 + 1/220*g**5 + 2*g + 4/33*g**3. Factor a(z).
z*(z + 1)*(z + 8)/11
Let x(t) be the first derivative of -3*t**4/4 + 93*t**3 - 138*t**2 - 11969. Let x(d) = 0. What is d?
0, 1, 92
Let o(h) = 8*h - 3*h + 2 - h. Let w be o(0). Factor k**2 - 1 - 4*k**3 + 3 + 7*k - k**2 + 4*k**w.
-(k - 2)*(2*k + 1)**2
Let f(q) = -3*q**2 - 136*q + 40. Let z(b) = 4*b**2 + 271*b - 80. Let w be ((-8)/(-6))/(2/(-21)*-7). Let d(j) = w*z(j) + 5*f(j). Let d(i) = 0. What is i?
-20, 2/7
Suppose 3*l - 5 = 2*t + 8, -2*l - 3*t = -13. Let u(k) = -k**2 + 9*k + 1. Let x(i) = -i**2 + 8*i. Let j(c) = l*x(c) - 4*u(c). Find n such that j(n) = 0.
2
Suppose 2172/11*u**2 - 4624/11 + 134/11*u**3 - 2584/11*u + 2/11*u**4 = 0. Calculate u.
-34, -1, 2
Suppose -792 + 8 = 49*t. Let d be (t/(-60))/((-15)/(-100)). Factor -4/9*o**2 - 4/3 - d*o.
-4*(o + 1)*(o + 3)/9
Solve -6264*t**2 - 6266*t**2 + 198*t + 12535*t**2 + 42*t = 0 for t.
-48, 0
Let s(n) be the first derivative of 32 - 9/4*n**3 - 3/40*n**5 + 0*n**2 + 3/4*n**4 - 37*n. Let d(v) be the first derivative of s(v). Solve d(w) = 0 for w.
0, 3
Let v(j) be the second derivative of j**5/60 + j**4/6 - 19*j**3/18 - 4*j**2 - 26*j + 11. Factor v(f).
(f - 3)*(f + 1)*(f + 8)/3
Let g(a) = -a + 7. Suppose 0*y = 5*y + 25, 5*o + 10 = -4*y. Let j be g(o). Factor 0*b**3 - 4/9*b**2 - 2/9*b**j + 2/9*b + 0 + 4/9*b**4.
-2*b*(b - 1)**3*(b + 1)/9
Let s(m) = m**4 - m**3 - m**2 + m - 1. Let h(p) = 7*p**4 - 13*p**3 + 5*p**2 + p - 5. Let f = 132 + -137. Let l(a) = f*s(a) + h(a). Factor l(x).
2*x*(x - 2)*(x - 1)**2
Let h(r) be the first derivative of 1/15*r**3 + 97 - 22/5*r**2 + 0*r. Factor h(x).
x*(x - 44)/5
Let j(w) = 12*w**2 + 27*w - 87. Let o be j(3). Factor o*v**3 - 49*v**3 - 24 - 49*v**3 - 28*v.
4*(v - 3)*(v + 1)*(v + 2)
Suppose 3*k - 5*s + 7*s = 67, 4*k + 5*s = 101. Suppose k*l - 30 = 4*l. Factor -743*h**l + 3*h**4 - 3*h + 2*h**3 + 752*h**2 - 11*h**3.
3*h*(h - 1)**3
Let b = 8254/5165 + 2/1033. Let x = -30/29 - -1542/145. Factor -b*d**2 + 0 - 18*d**4 - x*d**3 + 0*d - 10*d**5.
-2*d**2*(d + 1)*(5*d + 2)**2/5
Let m(q) be the first derivative of -7*q**6/4 + 24*q**5/5 