l**5/16 + 13*l**4/6 + l**2/2 - 15*l - 5. Let z(i) be the third derivative of k(i). Factor z(y).
-(y - 45)**2/6
Suppose 0*z = 2*z - x - 3, -5*x = 3*z - 24. Suppose 3*o - 13 = -2*m, z*o - o = 6. Suppose -26 - 28 + 42 + 8*t + 4*t**m = 0. What is t?
-3, 1
Let a = 883 - 871. Let u be 7/28 - ((-27)/a + 2). Let -5/4*f**2 - 3/4*f**3 + u*f + 0 = 0. Calculate f.
-2, 0, 1/3
Let g(k) be the third derivative of -k**7/2520 - k**6/1080 - 9*k**3 + 80*k**2. Let w(c) be the first derivative of g(c). Factor w(q).
-q**2*(q + 1)/3
Suppose 393*h + 223 = 9262. Let v(a) be the second derivative of -1/2*a**4 - 1/14*a**7 - 3*a**2 + 0 + 5/2*a**3 + 2/5*a**6 - 3/5*a**5 - h*a. Factor v(z).
-3*(z - 2)*(z - 1)**3*(z + 1)
Let x = 890 + -1741/2. Let r = 79/4 - x. Factor 1/2 + r*p - 1/4*p**2.
-(p - 2)*(p + 1)/4
Let b(y) be the third derivative of -y**7/210 - y**6/5 - 17*y**5/15 + 10*y**4 + 18*y**2 - 4*y + 3. Suppose b(w) = 0. What is w?
-20, -6, 0, 2
Let f(l) = l**3 + 26*l**2 + 88*l + 3. Let v be f(-22). Factor -914 - 908 + 1802 + 5*y**v + 5*y**2 - 20*y.
5*(y - 2)*(y + 1)*(y + 2)
Let k(z) = -2*z**3 + z**2 - 1. Let c(r) = -87*r**3 + 123*r**2 + 68*r + 3. Suppose 0 = -23*w + 25*w - 10. Let s(p) = w*k(p) - c(p). Factor s(q).
(q - 2)*(7*q + 2)*(11*q + 2)
Let -88*w - 1128*w**2 + 90*w**4 + 113*w - 730*w - 735*w - 36*w**3 + 3*w**5 = 0. What is w?
-30, -2, 0, 4
Let t(s) be the third derivative of s**8/392 - 39*s**7/490 + 181*s**6/280 - 139*s**5/140 - 33*s**4/8 + 65*s**3/7 + 2*s**2 - 4660*s. Solve t(q) = 0 for q.
-1, 1/2, 2, 5, 13
What is q in -11245*q + 2505*q**2 - 879*q**3 + 4265*q**2 + 1690 + 23*q**4 + 7*q**4 + 34*q**3 = 0?
1/6, 2, 13
Let p(f) be the third derivative of f**7/735 - 9*f**6/140 - 76*f**5/105 - 3*f**4 - 128*f**3/21 - 8*f**2 + 302*f. Let p(r) = 0. What is r?
-2, -1, 32
Let h(r) be the first derivative of 14/15*r**3 - 16 + 72/5*r + 1/20*r**4 + 6*r**2. Determine j, given that h(j) = 0.
-6, -2
Find r such that -101*r + 273 + 251 - 29*r**2 + 435 + r**3 - 36*r - 794 = 0.
-5, 1, 33
Let v(x) be the second derivative of 15*x + 0*x**4 + 0*x**2 - 1/75*x**6 + 0*x**3 + 1/25*x**5 + 0. Suppose v(g) = 0. Calculate g.
0, 2
Let o(q) = -q**2 + 1. Let w(m) = -2*m. Let s(b) = 3*b**2 - 21*b - 22. Let n(u) = s(u) - 5*w(u). Let y(l) = n(l) + 4*o(l). Factor y(r).
-(r + 2)*(r + 9)
What is u in -17/5*u + 17/5*u**3 - 4/5*u**4 + 4/5 + 0*u**2 = 0?
-1, 1/4, 1, 4
Let a(m) = 13140*m**2 + 633*m - 25. Let k(x) = 8760*x**2 + 438*x - 17. Let n(c) = 5*a(c) - 7*k(c). Suppose n(j) = 0. Calculate j.
-1/20, 2/73
Let k = -74 - -76. Suppose -15 = -k*t - 11. Factor 2*s**2 + 10*s**t - 18*s - 27*s**2.
-3*s*(5*s + 6)
Let o(t) = -2*t**4 - t**2 - 2*t + 2. Let w(p) = -24*p**4 + 1110*p**3 + 799*p**2 - 330*p + 10. Let u(v) = 5*o(v) - w(v). Determine i so that u(i) = 0.
-1, 0, 2/7, 80
Let h = 16393/15 + -3278/3. Determine n so that -168/5*n - 7056/5 - h*n**2 = 0.
-84
Let q(u) be the second derivative of u**5/20 + 13*u**4/12 + 20*u**3/3 + 470*u + 2. Determine p, given that q(p) = 0.
-8, -5, 0
Let n(j) = -9*j**2 - 521*j - 496. Let m(c) = 55*c**2 + 3130*c + 2975. Let f(y) = 4*m(y) + 25*n(y). Suppose f(a) = 0. What is a?
-100, -1
Let x(z) be the third derivative of z**6/300 + z**5/10 - 231*z**4/20 + 4477*z**3/15 + 15*z**2 - 37. Factor x(t).
2*(t - 11)**2*(t + 37)/5
Let l(t) be the second derivative of t**5/130 + 23*t**4/39 + 349*t**3/39 - 396*t**2/13 - 2342*t. Suppose l(v) = 0. What is v?
-36, -11, 1
Let y(v) be the first derivative of 4*v**5/5 + 4*v**4 - 52*v**3/3 - 56*v**2 + 240*v + 1253. Factor y(s).
4*(s - 2)**2*(s + 3)*(s + 5)
Let n = -5 - -3. Let i be ((-2)/(-6)*n)/((-6)/819). Solve 22*w**3 - 72*w**2 + 91 + 10*w**5 - i - 54*w**4 + 78*w**3 + 16*w = 0 for w.
0, 2/5, 1, 2
Let h(m) be the first derivative of 4*m - 12 + 1/12*m**4 - 1/6*m**2 - 4/3*m**3. Find j, given that h(j) = 0.
-1, 1, 12
Let v(b) be the second derivative of -44*b**3 - 87*b - 3/100*b**5 + 0 - 43/20*b**4 + 726/5*b**2. Factor v(z).
-3*(z - 1)*(z + 22)**2/5
What is y in -177/5 + 53/10*y + 1/10*y**2 = 0?
-59, 6
Let f be (12/1200)/((-15)/(-25)). Let o(b) be the third derivative of -f*b**5 + 3*b**2 + 1/2*b**3 + 0*b + 1/12*b**4 + 0. Find d such that o(d) = 0.
-1, 3
Let w(n) be the third derivative of -1/10*n**5 - 1/6*n**4 - 1/30*n**6 - 1/210*n**7 - 1/6*n**3 + 0*n - 35 - 2*n**2. Factor w(h).
-(h + 1)**4
Let a(q) = 6*q**3 + 185*q**2 + 1115*q + 962. Let c(o) = -3*o**3 - 93*o**2 - 558*o - 480. Let i(h) = 6*a(h) + 13*c(h). Factor i(t).
-3*(t + 1)*(t + 6)*(t + 26)
Let x(z) be the first derivative of 22*z**2 + z**4 + 78 - 28/3*z**3 - 20*z. Find l such that x(l) = 0.
1, 5
Let n(u) be the third derivative of -8*u**2 + 0 - 1/390*u**5 - 19/13*u**3 + 29/78*u**4 - 2*u. Factor n(l).
-2*(l - 57)*(l - 1)/13
Let t be -17 + (10/8 - (-148274)/8568). Factor -2/9*j**2 + t*j - 8/3.
-2*(j - 4)*(j - 3)/9
Let j(s) be the second derivative of 3*s**5/40 + 17*s**4/8 - 16*s**3 - 60*s**2 - 2*s - 128. Factor j(k).
3*(k - 4)*(k + 1)*(k + 20)/2
Let v(k) = k**2 - 14*k + 16. Let f be v(13). Let r(h) = h + 1. Let n be r(-1). Factor -4*b - 6*b**4 + 9*b**2 - 3*b**4 + f*b**3 + n*b**3 + b.
-3*b*(b - 1)*(b + 1)*(3*b - 1)
Let q(z) be the first derivative of 5/12*z**4 - 52 + 47/9*z**3 - 20/3*z - 16/3*z**2. Let q(w) = 0. What is w?
-10, -2/5, 1
Let m be (-1)/((-14)/(-882)) + 63. Find k such that 0 - 3/2*k**3 + 0*k**2 + m*k**4 + 3/2*k**5 + 0*k = 0.
-1, 0, 1
Suppose 218*r = 211*r + 14. Solve 16*y - y**2 - 33 - 13*y - 3 + 4*y**r = 0.
-4, 3
Let y(i) = 60*i**2 - 200*i - 660. Let o(z) = -49*z**2 + 200*z + 657. Let m(k) = 5*o(k) + 4*y(k). Determine w, given that m(w) = 0.
-3, 43
Let z(n) be the second derivative of 5/2*n**3 + 3*n**2 + n**4 + 190*n + 0 + 3/20*n**5. Factor z(y).
3*(y + 1)**2*(y + 2)
Let g(l) be the second derivative of 0*l**2 - 13*l + 2/135*l**6 + 1/27*l**4 + 4/45*l**5 - 4/9*l**3 + 0. Determine o, given that g(o) = 0.
-3, -2, 0, 1
Let i(u) be the third derivative of -u**7/840 + u**6/24 - 53*u**5/240 - 85*u**4/48 - 4*u**3 + 2*u**2 - 6*u - 7. Factor i(w).
-(w - 16)*(w - 6)*(w + 1)**2/4
Let x(k) be the third derivative of -k**6/120 + k**5/30 - k**4/8 - k**3 + 64*k**2. Let u(d) = d**2 + d. Let h(f) = -40*u(f) + 5*x(f). Find l such that h(l) = 0.
-3, -2, -1
Let v = 6098425/3 + -2032807. Determine a so that 4/3 - v*a**2 + 2/3*a**3 - 2/3*a = 0.
-1, 1, 2
Let l be (37 - (-9)/(-9))/2. Suppose -l = -4*d + 54. Solve -162/13*o**4 + 0 - d*o**3 - 80/13*o**2 - 8/13*o = 0.
-1, -2/9, 0
Let v = 14/35965 - -14372/35965. Suppose 2*a + 44/5*a**2 - 28/5 - v*a**5 - 16/5*a**4 - 8/5*a**3 = 0. What is a?
-7, -2, -1, 1
Let h(a) be the third derivative of a**6/240 + a**5/15 + a**4/3 - 4*a**2 + 74. Solve h(b) = 0 for b.
-4, 0
Suppose 3*m - 4*o + 46 = 0, -18 = 3*m - 16*o + 19*o. Let g be 1/((-84)/(-56) - m/(-16)). Factor -4/7*x**4 + 0 + 0*x + 0*x**2 - g*x**3.
-4*x**3*(x + 2)/7
Let g be (0 + 6/(-5))/(-73 - 83880/(-1152)). Solve g*s - 64/5 + 4/5*s**3 + 28/5*s**2 = 0.
-4, 1
Suppose 3244*i + s - 5 = 3239*i, -4*s = -i - 20. Let n(j) be the first derivative of i*j**2 - 64/3*j**3 - 8*j**4 + 0*j - 45 - 4/5*j**5. Factor n(y).
-4*y**2*(y + 4)**2
Suppose 0 = 5*p - 5*t + 10, 25 = 5*p + 7*t - 5*t. Let g(y) = 5*y**2 + 100*y + 2595. Let x(o) = 2*o**2 - o - 3. Let n(m) = p*g(m) - 6*x(m). Factor n(v).
3*(v + 51)**2
Suppose -168*m**2 + 5*m**3 + 7*m**3 - 14*m**3 + 168 + 701*m - 699*m = 0. Calculate m.
-84, -1, 1
Let q(r) be the third derivative of -r**5/12 - 1435*r**4/24 - 475*r**3 - 1651*r**2. Factor q(x).
-5*(x + 2)*(x + 285)
Let v be 1342/(-198) - -10 - 2/9. Let g(r) be the third derivative of -5/6*r**v + 0*r + 0 - 1/300*r**5 + 9*r**2 - 1/12*r**4. Factor g(k).
-(k + 5)**2/5
Let o(u) be the first derivative of -u**4/26 + 298*u**3/39 + 1240*u**2/13 + 5024*u/13 + 3747. Factor o(l).
-2*(l - 157)*(l + 4)**2/13
Let w be ((-8)/(-6))/(6*1/63). Let d be 12/w - ((-36)/(-42))/(-3). Find j such that -2/7*j**2 - d + 10/7*j = 0.
1, 4
Let t(y) be the first derivative of y**8/1890 - 19*y**7/1260 + 7*y**6/54 - 49*y**5/540 - 30*y**3 - 99. Let g(c) be the third derivative of t(c). Factor g(w).
2*w*(w - 7)**2*(4*w - 1)/9
Let i = 31 - 29. Let -32*m - 6*m**4 - 26*m**3 - 22*m**2 - 2*m**3 - 8 - 21*m**2 - 3*m**i = 0. What is m?
-2, -1, -2/3
Suppose -3*j + 3*n - 6 = 0, -2*j + n = j - 2. What is a in 7*a - a**j - 4*a + 6*a**2 + 0*a**2 = 0?
-3/5, 0
Let m(l) be the secon