3*m - 12. Let s(l) = 18*n(l) - z(l). What is j in s(j) = 0?
-1, 1, 2
Suppose -2*h - j + 30 = 2*j, 5*h - 2*j = -1. Factor -8/3*v**h - 10/9*v**4 + 0 - 2*v**2 - 4/9*v.
-2*v*(v + 1)**2*(5*v + 2)/9
Let r = 66276434/15 + -4416644. Let j = -1784 + r. Factor -4/5 + j*l**2 + 38/15*l.
2*(l + 3)*(7*l - 2)/15
Let i(t) = -t**4 + t**3 + t**2 + t + 1. Let m(k) = -k**4 + 10*k**3 + 6*k**2 - 5*k - 1. Let g(q) = 3*i(q) - m(q). Solve g(w) = 0.
-2, -1/2, 1
Let s = -45 + 58. Let t be (768/18)/(s/3). Find j such that -96/13*j + 24/13*j**2 + t - 2/13*j**3 = 0.
4
Let n(o) = o**2 - 14*o + 48. Let h(t) = 6*t + 1. Let u(s) = 15*h(s) - 3*n(s). Factor u(k).
-3*(k - 43)*(k - 1)
Let f(r) be the second derivative of -r**5/70 + r**3/21 - 174*r. Factor f(i).
-2*i*(i - 1)*(i + 1)/7
Let h(j) be the third derivative of j**6/420 - j**5/42 - j**4/7 + 12*j**3/7 - 79*j**2. Let h(x) = 0. What is x?
-3, 2, 6
Factor 50*k**3 - k**3 - 5*k + 0*k - 64 + 63*k**2 - 43*k.
(k - 1)*(7*k + 8)**2
Let g(q) be the first derivative of 15/8*q**4 + 16 + 0*q**2 + 3/2*q**5 + 0*q + 5/6*q**3 + 5/12*q**6. Factor g(p).
5*p**2*(p + 1)**3/2
Let p(w) = 3*w + 67. Let i be p(-21). Let v be i/18 + (-6 - 520/(-90)). Suppose 0*u + v + 3/7*u**2 = 0. Calculate u.
0
Suppose 2*h + 0*h - 12 = 0. Suppose -4*i - 5*m = -16, -i + 4 = 4*m - h*m. Solve -g**3 + i + 3*g + 3*g - g**3 = 0.
-1, 2
Let q(w) be the second derivative of w**6/16 + 9*w**5/80 - w**4/8 - 3*w**3/8 - 3*w**2/16 + 16*w. Suppose q(z) = 0. What is z?
-1, -1/5, 1
Let k be 42/15 + (-1)/(-5). Suppose -51*a + 43*a = -40. Suppose 16*w**k - 8*w**4 + w**2 - 15*w**3 + w**2 + 5*w**a = 0. Calculate w.
-2/5, 0, 1
Let r(p) = -11*p**5 - 16*p**4 + 34*p**3 + 74*p**2 - 86*p - 160. Let t(k) = k**5 + k**4 + k**3 + k**2 + k. Let x(a) = r(a) + 6*t(a). Factor x(s).
-5*(s - 2)**2*(s + 2)**3
Let i(r) be the third derivative of r**7/1785 + r**6/170 + 3*r**5/170 + r**4/51 + 128*r**2. Factor i(z).
2*z*(z + 1)**2*(z + 4)/17
Let y(t) be the first derivative of -10*t**4 + 14 - 20/3*t**3 + 0*t - 5/6*t**6 - 5*t**5 + 0*t**2. Factor y(a).
-5*a**2*(a + 1)*(a + 2)**2
Find r such that -25*r + 363*r**2 - 28*r**3 - 8*r**3 - 315*r**2 - 8*r**4 + 9*r + 12*r**5 = 0.
-2, 0, 2/3, 1
Let w(n) be the second derivative of 21*n**6/25 + 327*n**5/25 + 47*n**4/6 - 52*n**3/15 - 4*n**2 - 2*n. Solve w(h) = 0 for h.
-10, -1/3, 2/7
Suppose 0 = 2*a - 7*a. Suppose -5*x - 4*b + 18 = a, -4*b + b = -x - 4. Let 4*t**4 - 3*t**2 + 41 + 91*t**x - 31 + 32*t**3 + 96*t + 26 = 0. What is t?
-3, -1
Let p be (0 + -10)*(-10)/20. What is o in 31*o**2 + 12*o**3 - p - 40*o**5 + 70*o**4 + 35*o - 96*o**2 - 7*o**3 = 0?
-1, 1/4, 1/2, 1
Let s(f) be the third derivative of -f**8/13440 - f**7/1680 - f**6/480 - f**5/240 + f**4/6 - 12*f**2. Let w(m) be the second derivative of s(m). Factor w(p).
-(p + 1)**3/2
Suppose -2*x + 5*x = 0. Let o be (-53)/(-3 - (x - 2)). Determine w, given that 2*w**3 + 2*w**5 - 55*w**2 - 4*w**3 + 2*w**4 + o*w**2 = 0.
-1, 0, 1
Let c be (40 + 54/(-9))*2/4. Suppose -f - c = -20. Suppose -4/9*y**2 + 4/9*y + 4/9 - 4/9*y**f = 0. Calculate y.
-1, 1
Suppose 38/3*t**3 + 0 + 2*t**4 + 10/3*t + 14*t**2 = 0. Calculate t.
-5, -1, -1/3, 0
Let j(m) be the first derivative of -3*m**5/5 - 15*m**4/2 + 11*m**3 - 173. Factor j(w).
-3*w**2*(w - 1)*(w + 11)
Let x(p) = 5*p**2 + 1. Let v be x(1). Let n be 10/4 + v/4. Suppose 1 - 9*o**n + 0 + 2*o**3 + 8*o**4 - 2*o = 0. What is o?
-1, 1
Let n(v) = -2*v**4 - 4*v**3 - 5*v**2 + 7*v + 5. Let k(j) = j**4 - 3*j**3 + 1. Let o(g) = 2*k(g) + 2*n(g). Solve o(b) = 0 for b.
-6, -1, 1
Let k be (-9 - 2 - -11)/3. Factor 2/9*n**2 + 0 + k*n.
2*n**2/9
Suppose -6*a = -10*a + 72. Factor -a*d**3 + 0*d**2 + 20*d**4 + 6*d**2 - 2*d**2 - 6*d**4.
2*d**2*(d - 1)*(7*d - 2)
Suppose -23*a = -21 - 71. Let l(m) be the second derivative of 4*m + 0*m**3 - 1/6*m**a + 0 + 0*m**2 - 1/10*m**5. Find d, given that l(d) = 0.
-1, 0
Factor -2310*h - 35*h**3 + 2178 + 1357/2*h**2 + 1/2*h**4.
(h - 33)**2*(h - 2)**2/2
Factor 2/9*l**4 + 2*l + 0 + 14/9*l**3 + 10/3*l**2.
2*l*(l + 1)*(l + 3)**2/9
Factor 16*b**3 + 370*b**2 - 45*b**4 + 362*b - 789 - 136*b**3 - 336 + 238*b.
-5*(b + 3)**2*(3*b - 5)**2
Let q(l) be the first derivative of 11*l**5/3 - 16*l**4/3 + 8*l**3/3 + 10*l**2 + 2. Let g(y) be the second derivative of q(y). Factor g(s).
4*(5*s - 2)*(11*s - 2)
Let r be 189/17 - 26/221. Let n(q) = -2*q + 27. Let b be n(r). Factor 80*p**2 + 5*p**5 + 32*p + 32*p**4 + 72*p**3 - p**b - 4*p**4.
4*p*(p + 1)*(p + 2)**3
Let h be (2 - (-9)/18) + -2. Factor 1 - h*r + 1/2*r**3 - r**2.
(r - 2)*(r - 1)*(r + 1)/2
Let b(g) be the second derivative of g**5/300 + g**4/60 - g**3/10 + 5*g**2 - 4*g. Let t(u) be the first derivative of b(u). Determine s, given that t(s) = 0.
-3, 1
Find c, given that 654*c + 1532*c - 19683 + c**3 - 81*c**2 - 684*c + 685*c = 0.
27
Let d(k) be the first derivative of 3/20*k**5 + 3 + 0*k**2 + 0*k**3 - 7*k - 3/4*k**4. Let m(q) be the first derivative of d(q). Let m(o) = 0. What is o?
0, 3
Let 0 - 2/3*n**3 - 28*n + 46/3*n**2 = 0. Calculate n.
0, 2, 21
Let d be (32/(-21))/(2/(-6)). Let i be -7 - ((-6)/(-4) - 1057/98). Factor -d - 2/7*t**2 - i*t.
-2*(t + 4)**2/7
Factor -10/11*r - 2/11*r**4 + 0 - 6/11*r**3 + 18/11*r**2.
-2*r*(r - 1)**2*(r + 5)/11
Let n(f) = 3*f**3 + 12*f**2 - f - 14. Let s(z) = -4*z**3 - 13*z**2 + z + 16. Let g(d) = -3*n(d) - 2*s(d). Let g(k) = 0. Calculate k.
-10, -1, 1
Factor -11*p**3 + 49*p**2 - 735 + 6*p**2 - 4*p**3 - 35*p + 3*p**3 + 7*p**3.
-5*(p - 7)**2*(p + 3)
Let r = 1 - 3. Let g be r*6/(-3)*1. Factor 0 - m**g + 0*m - 1/3*m**2 + 1/3*m**5 + m**3.
m**2*(m - 1)**3/3
Suppose 9*x - 108 = 72. Suppose 2*b**2 + 11*b + 3*b**2 + 0*b**2 + 14*b + x = 0. What is b?
-4, -1
Let j(c) be the second derivative of -1/30*c**6 - c**4 - 20*c - 3/10*c**5 + 0*c**2 - 4/3*c**3 + 0. Factor j(q).
-q*(q + 2)**3
Let b be (5/(-290))/((-6)/9). Let t = b + 1359/1276. Suppose -14/11*j**3 + 24/11*j**2 + t + 50/11*j = 0. Calculate j.
-1, -2/7, 3
Let u(k) be the third derivative of 1/420*k**7 - 1/120*k**6 + 1/120*k**5 + 0*k**3 + 0*k + 0 + 0*k**4 + 3*k**2. Factor u(j).
j**2*(j - 1)**2/2
Let v be 1*26 + (15 - 13) - 4. Let q be (-5 + 122/v)*8. Factor 1/3*z**3 - q*z**2 + 2/3 - 1/3*z.
(z - 2)*(z - 1)*(z + 1)/3
Let r be (1/2 - -1)*12/(-294)*-7. Factor -r*x**2 + 3/7*x + 0.
-3*x*(x - 1)/7
Factor 6/5*q**2 + 3/5*q**3 + 0 + 3/5*q.
3*q*(q + 1)**2/5
Let u(p) = -p**2 - p. Let a = -2 + -7. Let q be 110/a - (-4)/18. Let t(h) = -4*h**2 - 4*h + 2. Let n(l) = q*u(l) + 4*t(l). Solve n(m) = 0 for m.
-2, 1
Suppose -3*i + 1368 = 9*i. Let h = 117 - i. Factor -1/4*t**h + 1/4*t - 1/2 + 1/2*t**2.
-(t - 2)*(t - 1)*(t + 1)/4
Let p = 4333/9 - 481. Let i(n) be the first derivative of 0*n**2 + 7 + p*n**3 + 0*n. Factor i(x).
4*x**2/3
Let b(t) = 2*t**2 + 2*t + 1. Let m(g) = 32*g**2 + 600*g - 138. Let k(j) = 2*b(j) + m(j). Factor k(v).
4*(v + 17)*(9*v - 2)
Let -d**2 - 24492 + 15*d + 12233 + 12203 = 0. What is d?
7, 8
Let b(g) be the first derivative of g**4/24 + g**3/12 + 4*g - 10. Let h(t) be the first derivative of b(t). Determine a so that h(a) = 0.
-1, 0
Suppose -580*y = -599*y + 38. Factor -4*k - y + 5/2*k**2.
(k - 2)*(5*k + 2)/2
Let x(y) = 3*y**2 + 35*y - 38. Let t(b) = -4*b**2 - 7*b**2 + 25 - 140*b + 126. Let w(u) = 2*t(u) + 9*x(u). Suppose w(q) = 0. What is q?
-8, 1
Solve -10/11*m**2 - 6/11*m**3 + 0 - 4/11*m = 0.
-1, -2/3, 0
Let l be 5/((-25)/3)*-20. Let z be (l/(-8))/((-6)/28). Factor 0*t**2 - t - z*t + 0*t**2 - 2*t**2 - 6.
-2*(t + 1)*(t + 3)
Let p(r) be the third derivative of r**5/150 - 11*r**4/60 - 4*r**3/5 - 8*r**2 - 5. Find v, given that p(v) = 0.
-1, 12
Let q = -1958 + 3925/2. Factor 0 + q*a - 3/2*a**2.
-3*a*(a - 3)/2
Factor 27/8 - 3/8*q**3 + 27/8*q - 3/8*q**2.
-3*(q - 3)*(q + 1)*(q + 3)/8
Let t be (-242)/132*(-12)/33. Factor 32/3 + t*n**4 + 22*n**2 - 20/3*n**3 - 80/3*n.
2*(n - 4)**2*(n - 1)**2/3
Let -104/7*n**2 - 2/7*n**5 + 12/7*n**4 - 30*n + 20/7*n**3 - 100/7 = 0. What is n?
-2, -1, 5
Suppose -5*a + 3*m + 26 = 0, 3*a + 5*m = 2*m + 6. Suppose a*q + o - 2 = 0, 3*o = 2*q + 2*o + 2. Find x such that 0*x + q + 1/8*x**2 + 1/8*x**3 = 0.
-1, 0
Let l(m) be the first derivative of 2*m**5 - 5/2*m**2 + 0*m - 10/3*m**3 + 0*m**4 + 31 + 5/6*m**6. Factor l(c).
5*c*(c - 1)*(c + 1)**3
Let i(j) be the third derivative of -j**9/60480 - j**8/8960 - j**7/3360 - j**6/2880 + j**4/8 + 5*j**2. Le