 2)**2/7
Let i(m) = 2*m**2 + m - 1. Let r(a) = a**3 - 13*a**2 - 11*a + 3. Let y(b) = 3*i(b) + r(b). Find q, given that y(q) = 0.
-1, 0, 8
Let p(l) be the first derivative of 9/8*l**6 - 7 - 3/4*l**2 + 0*l - 9/20*l**5 - 13/4*l**3 - 69/16*l**4. Determine u so that p(u) = 0.
-1, -1/3, 0, 2
Let p(u) = -u**5 + u**4 - 2*u**3 - u + 1. Let b(m) = 8*m**5 - 19*m**4 + 16*m**3 + 12*m - 11. Let h(w) = 2*b(w) + 22*p(w). What is z in h(z) = 0?
-1, 0, 1/3
Suppose 6*q - 2*v = 2*q - 20, 0 = 4*q - v + 18. Let c(x) = -x**3 - 3*x**2 + 4*x + 2. Let u be c(q). Factor -16 - 12*l**2 - u*l**3 + 18*l + 8*l + 4*l**3 - 2*l.
2*(l - 2)**3
Let v(s) = -s**3 - 8*s**2 + 8*s - 1. Let o be v(-9). Suppose -11*u + 7*u = -o. Factor 4*k**2 + 64*k - u*k**2 - 62*k.
2*k*(k + 1)
Let h be 4 + (-3)/(-9)*(7 - 254). Let r = h + 79. Suppose -8/9*j**4 - 1/9*j + 0*j**2 + 0 + r*j**3 + 1/3*j**5 = 0. Calculate j.
-1/3, 0, 1
Let j(q) be the third derivative of -q**5/60 + 7*q**4/24 + 4*q**3/3 + 9*q**2 - 5*q. Factor j(b).
-(b - 8)*(b + 1)
Let x(l) be the second derivative of 1/4*l**5 + 5/2*l**2 + 5/2*l**3 + 5/4*l**4 + 0 + 11*l. Factor x(r).
5*(r + 1)**3
Factor -48/11*d**3 - 6/11*d**4 + 0 - 120/11*d**2 - 96/11*d.
-6*d*(d + 2)**2*(d + 4)/11
Let i(k) be the first derivative of 4*k**5/5 - 13*k**4 + 188*k**3/3 - 118*k**2 + 96*k + 815. What is y in i(y) = 0?
1, 3, 8
Let d(o) be the first derivative of -3*o**4/8 + o**3/2 + 63*o**2/4 - 135*o/2 - 57. Factor d(q).
-3*(q - 3)**2*(q + 5)/2
Let r(m) be the second derivative of -m**5/10 + m**3 + 2*m**2 + 81*m. Factor r(v).
-2*(v - 2)*(v + 1)**2
Let a(h) be the third derivative of 0*h**3 - 1/42*h**7 - 5/24*h**4 + 12*h**2 + 0*h - 1/8*h**6 + 0 - 1/4*h**5. Factor a(t).
-5*t*(t + 1)**3
Let x = -46 + 38. Let b be (-14)/(-63) - x/45. Suppose 2/5*q**3 + 9/5*q**2 - b*q + 0 - 9/5*q**4 = 0. Calculate q.
-1, 0, 2/9, 1
Let c(y) be the second derivative of y**4/48 + 5*y**3/24 - 33*y**2/4 + 64*y. Factor c(x).
(x - 6)*(x + 11)/4
Let w(p) be the third derivative of 1/54*p**4 - 1/90*p**5 + 0*p + 1/540*p**6 + 0*p**3 + 0 - 31*p**2. Factor w(f).
2*f*(f - 2)*(f - 1)/9
Find k, given that -3/4*k**2 + 3*k - 3 = 0.
2
Let i = 53/10 - 197/40. Let h(u) be the second derivative of -1/40*u**5 - i*u**4 + 0 - 7*u - 9/4*u**3 - 27/4*u**2. Determine o so that h(o) = 0.
-3
Let n(s) be the second derivative of -s**7/112 + 3*s**5/80 - s**3/16 - 3*s - 27. Factor n(d).
-3*d*(d - 1)**2*(d + 1)**2/8
Let h = -5464/15385 - -2/905. Let m = h + 64/85. Factor -m + 2*x - 14/5*x**2 + 6/5*x**3.
2*(x - 1)**2*(3*x - 1)/5
Suppose -24/5 + 4/5*q**3 - 52/5*q + 4/5*q**4 - 28/5*q**2 = 0. What is q?
-2, -1, 3
Let u(z) be the first derivative of -z**7/525 + 2*z**5/75 - 5*z**2/2 - 7. Let s(p) be the second derivative of u(p). Factor s(i).
-2*i**2*(i - 2)*(i + 2)/5
Let w(n) = n**3 - 14*n**2 + 10*n - 6. Let s(h) = -2*h**3 + 29*h**2 - 19*h + 13. Let b(m) = 6*s(m) + 13*w(m). Factor b(f).
f*(f - 4)**2
Let f be 0/(1*(-3 + 6)). Find y such that 8/5*y**4 + 0*y**2 + f*y + 0 + 2/5*y**3 = 0.
-1/4, 0
Let z(l) be the first derivative of -l**5/30 + l**3/3 - 2*l**2/3 - 6*l - 8. Let m(x) be the first derivative of z(x). Factor m(i).
-2*(i - 1)**2*(i + 2)/3
Factor 6 - 4*q - 7*q**4 - 10*q**2 - 12*q**2 + 4*q**3 + 14*q**2 + 9*q**4.
2*(q - 1)**2*(q + 1)*(q + 3)
Let o(n) be the third derivative of n**5/330 + 7*n**4/132 + 4*n**3/11 - 22*n**2. Find h such that o(h) = 0.
-4, -3
Let t = 1463 + -1461. Solve 78/7*u**t - 18/7*u**3 + 24/7 - 80/7*u = 0 for u.
2/3, 3
Let q(v) be the second derivative of 3*v**5/100 + v**4/5 - 3*v**3/10 - 27*v**2/5 + 333*v. Factor q(u).
3*(u - 2)*(u + 3)**2/5
Let c(f) = 10*f**3 + 2*f**2 - 4*f. Let t(a) = 29*a**3 + 5*a**2 - 11*a. Let d(k) = 11*c(k) - 4*t(k). Factor d(m).
-2*m**2*(3*m - 1)
Factor -26/17*z - 2/17*z**2 + 28/17.
-2*(z - 1)*(z + 14)/17
Let j = 5 + 0. Determine w, given that -32*w**3 + 10*w**2 - 5 + 32*w**3 - j*w**4 = 0.
-1, 1
Let h = 1057/134 - 26/67. Let j(l) be the first derivative of -6*l - 1/2*l**6 - 2 - 2*l**3 + h*l**2 + 12/5*l**5 - 3*l**4. Factor j(r).
-3*(r - 2)*(r - 1)**3*(r + 1)
Suppose 0 = s - 2*s + 2. Let v be (-15)/(-5) - (3 - (1 - -1)). Solve 0*q**3 - 4*q**v - s*q**5 + 6*q**3 + 0*q**2 = 0 for q.
-2, 0, 1
Let j = -15 - -19. Let r(h) = h**3 - 2*h**2 - 7*h + 9. Let v be r(j). Determine n so that 3*n**3 - 6*n - v*n**2 - 16*n**2 + 32*n**2 = 0.
-2, 0, 1
Let b(v) be the third derivative of 1/945*v**7 + 0 + 0*v**3 + 0*v - 15*v**2 + 0*v**4 + 1/540*v**6 - 1/270*v**5 - 1/1512*v**8. Factor b(w).
-2*w**2*(w - 1)**2*(w + 1)/9
Let z(f) = f + 5. Let u be z(-5). Let v(t) be the first derivative of 10 + 1/28*t**4 + u*t + 1/21*t**3 + 0*t**2. Find c, given that v(c) = 0.
-1, 0
Let z be -9 + (61/7 - (-490)/343). Let 2/7*u**5 + 0 + 4/7*u**2 + z*u**4 + 0*u + 10/7*u**3 = 0. Calculate u.
-2, -1, 0
Suppose 35*s = -4*s + 156. Let v(k) be the third derivative of -6*k**2 + 1/20*k**5 + 0 - 1/4*k**s + 1/2*k**3 + 0*k. Find d such that v(d) = 0.
1
Suppose 105/2*b + 33/2*b**2 + 75/2 + 3/2*b**3 = 0. What is b?
-5, -1
Suppose 1 + 3 = 2*r. Suppose r*d - 3 = 3*g - 14, -3 = 3*d. Find w, given that 3*w**3 - 4*w**4 - 2*w + 5*w**4 + g*w + 3*w**2 = 0.
-1, 0
Let x(d) = -2*d**2 - 3. Let k(p) = 24*p - 166. Let y(q) = k(q) - 2*x(q). Factor y(f).
4*(f - 4)*(f + 10)
Let k(v) be the second derivative of 0*v**2 - 1/10*v**5 - 1/3*v**4 - 1/3*v**3 + 15*v + 0. Factor k(f).
-2*f*(f + 1)**2
Let y(x) = -5*x**2 + 840*x - 855. Let c(z) = 5*z**2 - 840*z + 850. Let l(a) = -4*c(a) - 3*y(a). Factor l(u).
-5*(u - 167)*(u - 1)
Let q(b) be the second derivative of -1/40*b**6 - 3/40*b**5 + 1/4*b**3 + 3/8*b**2 - 21*b + 0*b**4 + 0. Find y, given that q(y) = 0.
-1, 1
Let x(u) be the second derivative of -1/39*u**3 + 0 + 1/130*u**5 + 1/195*u**6 + 0*u**2 - 1/78*u**4 - 14*u. Let x(o) = 0. Calculate o.
-1, 0, 1
Let q be 38/10 + 5 + (-504)/105. Factor -2/13*z**q - 2/13 - 2/13*z**5 + 4/13*z**3 - 2/13*z + 4/13*z**2.
-2*(z - 1)**2*(z + 1)**3/13
Let m be (25 - 20) + 13 + -1. Solve m - 13*n - 2*n**3 - 18*n + 14*n**2 + n + 1 = 0.
1, 3
Let c be 441/(-54)*195/364*(-2 + -7). Let -795/8*n**2 - 63/8*n**3 + 72*n - 27/2 + 75/8*n**5 + c*n**4 = 0. Calculate n.
-3, 2/5, 1
Let t(f) be the second derivative of 7/6*f**3 - 5/12*f**4 + 12*f - f**2 + 0. Factor t(c).
-(c - 1)*(5*c - 2)
Suppose -5*a + 21 = 3*u - 4, -4*u + 2*a = -16. Let -16*w - 4*w**u + 8*w**4 - 13*w**2 + 29*w**2 - 16*w**5 + 60*w**3 = 0. What is w?
-1, 0, 2/5, 2
Let g = 4/73 - -694/657. Factor -8/9*r**2 + 0 - 2/9*r**3 + g*r.
-2*r*(r - 1)*(r + 5)/9
Factor h**2 - 306 - 5*h - 4*h**2 - 154*h + 0*h.
-3*(h + 2)*(h + 51)
Let r(w) = -3*w**2 - 2*w + 301. Let x(q) = -12*q**2 - 9*q + 1203. Let h(m) = -15*r(m) + 4*x(m). Factor h(s).
-3*(s - 9)*(s + 11)
Let k be 12 - 651/60 - 55/(-44). Determine n so that -3*n**2 + k*n**4 - 9/5*n + 9/5*n**3 + 3/5 = 0.
-1, 1/4, 1
Suppose -318 = -5*u + 402. Let j be (-196)/(-90) + 0 - (-32)/u. Factor j*y + 12/5*y**3 + 3/5*y**4 + 18/5*y**2 + 3/5.
3*(y + 1)**4/5
Let f = 7715/3 + -2571. What is v in -8/9 - 8/9*v + f*v**2 = 0?
-2/3, 2
Let d be 218/30 + (-70)/(-210) - 7. Let -d*u + 3/5 - 6/5*u**2 = 0. Calculate u.
-1, 1/2
Let u = -38 + 43. Suppose -12*f**3 - 267*f**2 - 2*f - 3*f**5 + 275*f**2 + f**u + 8*f**4 = 0. Calculate f.
0, 1
Let k(j) be the second derivative of 25*j**5/6 + 15*j**4/2 + 17*j**3/15 + j**2/15 + 219*j. Factor k(x).
2*(x + 1)*(25*x + 1)**2/15
Let w(h) be the second derivative of h**5/10 - h**4/18 + 52*h. Suppose w(g) = 0. What is g?
0, 1/3
Let l = 806 + -803. Let u(z) be the first derivative of 3/4*z**4 - 3 - z**l - 3*z**2 + 0*z. Factor u(g).
3*g*(g - 2)*(g + 1)
Let u(x) = x**4 + 14*x**3 - 31*x**2 - 16*x + 12. Let b(c) = -5*c**3 + 10*c**2 + 5*c - 4. Let v(l) = 8*b(l) + 3*u(l). Solve v(z) = 0 for z.
-2, -1, 1/3, 2
Let i(s) be the third derivative of s**8/672 + s**7/90 + 17*s**6/720 - s**5/60 - 5*s**4/36 - 2*s**3/9 - 168*s**2. Let i(j) = 0. What is j?
-2, -1, -2/3, 1
Let m(t) = 3*t**2 - 44*t - 10. Let c be m(15). Let i(q) be the first derivative of 2/35*q**c + 0*q + 1/7*q**2 - 2/21*q**3 + 3 - 1/14*q**4. Factor i(z).
2*z*(z - 1)**2*(z + 1)/7
Let y(x) = -2*x**2 + 456*x - 22894. Let s(n) = 2*n**2 - 449*n + 22895. Let c(g) = 4*s(g) + 3*y(g). Factor c(v).
2*(v - 107)**2
Let t(a) = 2*a - 2. Let o be t(1). Suppose 4*d - d - 5*g - 34 = o, g + 17 = 4*d. Factor 2*s**3 + 14*s**d - 7*s**5 - 10*s**4 - 4*s**2 + 9*