43. Suppose -4*u = -5*a - 12, u - 1 = 3*a + l. Solve -7/5*r - r**2 - 3/5 - 1/5*r**u = 0 for r.
-3, -1
Let b(j) = j**2 - 4*j + 3. Let v(m) = -m + 1. Suppose -4*z - s + 80 = 4*s, -z + 3*s + 3 = 0. Let a(n) = z*v(n) - 5*b(n). Let a(d) = 0. What is d?
0, 1
Let n be (-84)/140 + (-14)/(-15). Factor 2/3*z**3 - n*z**2 + 1/3 - 1/6*z**5 - 1/2*z + 0*z**4.
-(z - 1)**3*(z + 1)*(z + 2)/6
Let n be (-14)/56 - 66/(-8). Let h = n - 5. Solve 3*m - 4*m**3 + 3*m - 5*m + h*m**3 = 0 for m.
-1, 0, 1
Factor 27*d**3 - 45*d**3 - 3*d**5 - 160*d**2 - 75*d + 8*d**5 - 72*d**3.
5*d*(d - 5)*(d + 1)**2*(d + 3)
Let b(m) be the second derivative of -5*m**4/4 + 7*m**3 + 9*m**2/2 + 137*m. Solve b(x) = 0.
-1/5, 3
Let r(y) be the third derivative of -13*y**5/20 - 13*y**4/4 - 4*y**2. Let j(f) = f - 3*f**2 - 5*f - 2*f + 0*f. Let s(t) = -27*j(t) + 2*r(t). Factor s(x).
3*x*(x + 2)
Let m be 2/8 + (-22)/(-104). Let f = -5/1404 - -17/108. Let m*a**2 + f*a + 6/13*a**3 + 2/13*a**4 + 0 = 0. Calculate a.
-1, 0
Let z(p) be the third derivative of -p**6/60 + 8*p**5/45 + 13*p**4/36 - 2*p**3/3 + 39*p**2. Solve z(q) = 0.
-1, 1/3, 6
Factor 1/5*x**3 + 729/5*x - 54/5*x**2 + 0.
x*(x - 27)**2/5
Let y(z) = z**2 + z. Let h(l) be the third derivative of -l**5/15 - l**4/6 - 25*l**2. Let r(x) = 2*h(x) + 6*y(x). Solve r(d) = 0 for d.
-1, 0
Factor 668/3*b**2 - 5/3*b**3 - 22177/3*b - 8978/3.
-(b - 67)**2*(5*b + 2)/3
Determine z, given that 16/3*z - 28/3*z**2 + 0 + 4/3*z**4 + 8/3*z**3 = 0.
-4, 0, 1
Suppose 0 = 3*i - 9 - 3. Suppose 0 = 5*u - w - 9, 3*u = -0*w - 2*w + 8. Find v such that 51*v**i - 6*v + 8*v**5 - 23*v**5 + 0*v + 33*v**u - 63*v**3 = 0.
0, 2/5, 1
Suppose -13 = -5*l - 2*y, l + y - 22 + 20 = 0. Factor 1/5*h**l - 1/5*h**5 + 0*h**2 + 0 + 0*h + 0*h**4.
-h**3*(h - 1)*(h + 1)/5
Suppose -25*a + 21*a = -28. Let y be (-21)/a*(3/(-6))/1. Factor 2*x**3 - y*x - 1 + 0*x**4 - 1/2*x**5 + x**2.
-(x - 2)*(x - 1)*(x + 1)**3/2
Let c(a) be the first derivative of 7*a**6/9 - 71*a**5/30 - 41*a**4/6 - 11*a**3/18 + 23*a**2/6 - 4*a/3 + 80. Solve c(p) = 0 for p.
-1, 1/4, 2/7, 4
Factor -6*x**4 + 43*x**2 + x**4 - 140*x**3 + x**4 + 25*x**2 + 76*x**2.
-4*x**2*(x - 1)*(x + 36)
Let z(y) be the first derivative of -y**6/9 + 2*y**5/15 + y**4/6 - 2*y**3/9 + 34. Factor z(g).
-2*g**2*(g - 1)**2*(g + 1)/3
Let a(x) be the third derivative of x**6/240 - x**4/48 - 2*x**2 - 38*x. Factor a(y).
y*(y - 1)*(y + 1)/2
Factor -11*r - 2*r**2 + 73*r - 2*r**3 - 27*r**2 - 12*r - 19*r**2.
-2*r*(r - 1)*(r + 25)
Let c(q) = -q**3 - q**2. Let r(m) = 12*m**3 + 2*m**2 + 24*m - 16. Let h = 26 - 41. Let l be h/(-5)*44/(-6). Let y(j) = l*c(j) - 2*r(j). Factor y(x).
-2*(x - 4)**2*(x - 1)
Determine k, given that 8/5*k**2 - 8/5 - 28/5*k + 28/5*k**3 = 0.
-1, -2/7, 1
Let g = 1/483 + 463/9660. Let c(b) be the first derivative of g*b**4 + 1/2*b**2 - 4 - 2/5*b - 4/15*b**3. Factor c(q).
(q - 2)*(q - 1)**2/5
Let r(q) = q**2 - q + 48. Suppose 4*b - 5*b = 0. Let t be r(b). Factor 1176*v**3 - 1029*v**4 + 428*v + 1601*v**2 + t - 89*v**2 + 52*v.
-3*(v - 2)*(7*v + 2)**3
Factor k**3 - 1/7*k**4 + 0 - 2*k**2 + 8/7*k.
-k*(k - 4)*(k - 2)*(k - 1)/7
Let w be 1/(2 + (-28)/16). Suppose -w*u + 29 = 3*z, -3*u + u = -4*z + 2. Suppose -l + 2*l**2 + 3*l**z + l + 3*l**5 - 4*l**5 = 0. Calculate l.
-1, 0, 2
Suppose -188*d = -187*d - 18. Let t be d/(-135) + 44/30. Find r such that 0 + 2/3*r**4 - t*r**5 - 2/3*r - 2/3*r**2 + 2*r**3 = 0.
-1, -1/2, 0, 1
Let s(x) be the third derivative of -1/6*x**3 - 1/720*x**5 + 0 + 1/72*x**4 - 1/2160*x**6 + 5*x**2 + 0*x. Let g(h) be the first derivative of s(h). Factor g(k).
-(k - 1)*(k + 2)/6
Let w(o) be the second derivative of o**8/480 + o**7/140 + o**6/180 - 13*o**4/12 + 10*o. Let a(t) be the third derivative of w(t). Factor a(k).
2*k*(k + 1)*(7*k + 2)
Let f be (-23 + (-1130)/(-49))*56. Suppose 46/7*v**4 + 0 + f*v**5 + 0*v + 26/7*v**3 + 4/7*v**2 = 0. Calculate v.
-1, -2/3, -1/4, 0
Let p(s) be the third derivative of s**7/315 + s**6/20 + 7*s**5/90 - s**4/4 - 8*s**3/9 + 26*s**2. Factor p(l).
2*(l - 1)*(l + 1)**2*(l + 8)/3
Let y be 4 + -2*(-12)/8. Suppose -5*j = -3*g - 10, -g + y*j - 20 = 2*j. Factor -107*o**5 + 15*o**3 + 114*o**g - 2*o - o**2 - 15*o**4 - 4*o**4.
o*(o - 1)**3*(7*o + 2)
Let r = 1119723 - 604650077/540. Let q(a) be the third derivative of -7/9*a**4 + 11*a**2 - 8/27*a**3 + 0*a - r*a**6 + 0 - 49/45*a**5. Find t such that q(t) = 0.
-2/7
Let k be -7 - (1023/(-55) - -11). Solve 12/5*d**4 + 12/5*d + 24/5 - 6*d**2 - 3/5*d**3 - k*d**5 = 0 for d.
-1, 2
Let t(y) = y - 9. Let g be (3/(-3))/((-3)/33). Let o be t(g). What is m in 1 + 1 + 15*m**2 + m - 16*m**o = 0?
-1, 2
Let r be (-9)/3*10/(-15). Let p(j) = 5 - 2 - 3*j**2 - j**3 + r*j**4 + 8*j**2 + j. Let f(m) = -m**4 - 2*m**2 - 1. Let b(c) = 5*f(c) + 2*p(c). Factor b(d).
-(d - 1)*(d + 1)**3
What is u in -1451*u**2 - 28*u**3 - 6 - 18*u**4 + 2890*u**2 - 1415*u**2 + 20*u + 8*u**5 = 0?
-1, 1/4, 1, 3
Suppose -5*f - 2 = -m + 10, -f = -4*m + 10. Let d(w) be the first derivative of 1/25*w**5 + 1/5*w**4 + 1/5*w**m + 9 + 1/3*w**3 + 0*w. Find q such that d(q) = 0.
-2, -1, 0
Let t = 320/1639 + -2/149. What is d in 0 + 0*d - 2/11*d**2 + t*d**3 = 0?
0, 1
Let j = -3969 + 35725/9. Factor j*x**3 + 2/9 - 2/9*x**5 + 2/9*x**4 - 2/9*x - 4/9*x**2.
-2*(x - 1)**3*(x + 1)**2/9
Let r be -6*(1680/100 + -17)/((-6)/(-10)). Factor 2/5*x**3 + 2/5*x**r - 2/5*x**4 - 2/5*x + 0.
-2*x*(x - 1)**2*(x + 1)/5
Let v(j) be the first derivative of -2/39*j**3 + 12/13*j - 1/13*j**2 - 22. Factor v(k).
-2*(k - 2)*(k + 3)/13
Let l(p) = p**3 + 15*p**2 - p - 9. Let x be l(-15). Factor -16 + 178*i + x + 5*i**2 - 173*i.
5*(i - 1)*(i + 2)
Suppose -2*l = -0*l + 3*l. Let p be ((-344)/(-68) + -5)*(2 - l). Let 2/17*k**3 + 6/17*k + p + 6/17*k**2 = 0. What is k?
-1
Suppose -3*w + 6 = 0, -2*w - 26 = -4*o + o. Suppose 4*v - 12 = -3*i + 2*v, -22 = -5*i - 4*v. Factor -10*r + o + 4*r**2 - 2 - i*r.
4*(r - 2)*(r - 1)
Let c(f) be the second derivative of 1/4*f**5 + 1/6*f**6 - 10*f**3 + 0*f**2 - 23*f - 10/3*f**4 + 0. Solve c(o) = 0 for o.
-2, 0, 3
Let p(d) be the second derivative of -d**6/6 + 3*d**5/4 + 15*d**4/4 - 45*d**3/2 + 111*d. Suppose p(v) = 0. What is v?
-3, 0, 3
Suppose 2*i = 2*o + 7 - 21, -2*o = 2. Let g be 0/(5 + i/2) - -2. Solve 2/9*k**5 + 0 - 10/9*k**4 + 4/9*k + g*k**3 - 14/9*k**2 = 0 for k.
0, 1, 2
Let j be (-14 - (-495)/75) + 9. Solve 0 - 4/5*b**2 - j*b = 0 for b.
-2, 0
Let w(c) be the third derivative of c**5/210 - 5*c**4/21 - 44*c**3/21 + 28*c**2 + 11. Factor w(x).
2*(x - 22)*(x + 2)/7
Suppose -2*d + 5*o = 3, d + 3*o + 15 + 14 = 0. Let m be ((-7)/d)/(3 - 2). Factor -m - 3/4*s - 1/4*s**2.
-(s + 1)*(s + 2)/4
Let k be 18/120*-2 + ((-81)/(-18))/3. Factor -k*b - b**2 - 1/5*b**3 + 0.
-b*(b + 2)*(b + 3)/5
Suppose 3*s - 2*a - a - 27 = 0, s + 2*a = -6. Factor -2/5*m**3 + 6/5*m + 9/10 + 1/10*m**s - 1/5*m**2.
(m - 3)**2*(m + 1)**2/10
Let d(k) = -80*k**3 - 73*k**2 + 15*k + 3. Let n(o) = 120*o**3 + 109*o**2 - 23*o - 5. Let b = 38 + -33. Let r(x) = b*n(x) + 7*d(x). Factor r(s).
2*(s + 1)*(4*s + 1)*(5*s - 2)
Suppose -6 = -5*j + l, -5*j - l + 91 - 67 = 0. Solve 1/4*s**3 + 16 + j*s**2 + 12*s = 0.
-4
Let w(g) be the third derivative of g**7/1260 + 7*g**6/720 - 17*g**5/360 + g**4/16 + 4*g**2 + 1. Factor w(p).
p*(p - 1)**2*(p + 9)/6
Let d = -44 - -47. Let a be (-1 + 15/24)/(18/(-40)). Factor 5/6*v + 5/3*v**d + 1/6 + a*v**4 + 5/3*v**2 + 1/6*v**5.
(v + 1)**5/6
Solve -53*b**2 + b**3 + 19*b**2 - 2*b + 17*b**2 + 18*b**2 = 0 for b.
-2, 0, 1
Let c(w) = -11*w**3 - w**2 + 41*w + 40. Let u(g) = -14*g**3 + 42*g + 40. Let o(y) = 4*c(y) - 3*u(y). Solve o(d) = 0 for d.
-5, -1, 4
Let o(d) = -d**2 - 9*d + 12. Suppose f + 11 = 1. Let i be o(f). Suppose -1/3*h**3 - 1/3*h - 2/3*h**i + 0 = 0. What is h?
-1, 0
Let t(y) be the first derivative of y**5/20 + 5*y**4/16 - 7*y**3/12 - 5*y**2/8 + 3*y/2 - 587. What is r in t(r) = 0?
-6, -1, 1
Let h(z) = 5*z**2 + 32*z - 33. Let j be h(1). Suppose -48/11*w + 0 - 260/11*w**3 + 50/11*w**j - 232/11*w**2 = 0. Calculate w.
-2/5, 0, 6
Suppose 0 = -8*l - 68 + 84. Let n(h) be the second derivative of 0 + 5/2*h**3 - 75/4*h**l - 5*h - 1/8*h**4. Factor n(x).
-3*(x - 5)**2/2
Let l(y) be the third derivative of -5*y**5/6 - 9*y**4/4 - 2*y**3/3 - 18*y**2 - 4*y. Factor l(p).
-2*(p + 1)*(25*p + 2)
Let y(o) be the first derivative of -o**2 - 16*o - 25. Let n be y(-9). Suppo