 5*a + 6*h - 3*h - 7 = 0. Determine t so that 0*t + 2/13*t**3 + 4/13*t**a + 0 - 2/13*t**4 = 0.
-1, 0, 2
Factor -1/8*g**4 - 1/2*g**3 + 1/4*g**2 - 9/8 + 3/2*g.
-(g - 1)**2*(g + 3)**2/8
Let c be (-1045)/525 - (-4)/2. Let z(r) be the third derivative of 1/420*r**6 + 0 - 1/28*r**4 - r**2 + c*r**5 + 0*r**3 + 0*r. Factor z(w).
2*w*(w - 1)*(w + 3)/7
Let k(g) = -8*g**2 - 42*g + 80. Let c(s) = -6*s**2 - 41*s + 80. Let a(j) = 6*c(j) - 5*k(j). Factor a(z).
4*(z - 5)*(z - 4)
Factor 4*c**5 + 2*c**2 - 80*c**4 - 4*c**3 + 14*c**2 + 135*c**4 + 0*c**3 - 71*c**4.
4*c**2*(c - 4)*(c - 1)*(c + 1)
Let f be (-498)/42*(3 - (0 + -13)). Let q = f + 190. Factor q - 2/7*g**2 + 0*g.
-2*(g - 1)*(g + 1)/7
Suppose -y = 5*q - 60, 5*q - 59 = 5*y + 1. Suppose 65*p - 59*p = q. Factor 2/5*z**p + 2 + 12/5*z.
2*(z + 1)*(z + 5)/5
Let i = -37 - -44. Let j(v) = -v**2 + 6*v + 9. Let x be j(i). Solve 1/4*z**x - 1/2 + 1/4*z = 0 for z.
-2, 1
Let g(n) be the first derivative of n**5/170 - n**3/17 + 2*n**2/17 - 3*n - 3. Let i(c) be the first derivative of g(c). Factor i(v).
2*(v - 1)**2*(v + 2)/17
Suppose 3*j - 27 + 21 = 0. Let y(t) be the second derivative of 0 + 4*t - 2/9*t**3 + 1/3*t**j + 1/18*t**4. Let y(f) = 0. Calculate f.
1
Suppose 0 = i + s + 3 - 6, -4*i - 3*s = -11. Determine x so that -3*x**3 - 7 - 4*x**i + 2*x**3 + 7 - 3*x = 0.
-3, -1, 0
Let i(t) be the third derivative of -t**6/720 - 7*t**5/360 - t**4/9 - t**3/3 - 3*t**2 - 11. Factor i(k).
-(k + 2)**2*(k + 3)/6
Let i(t) = -t**3 - 5*t**2 - 8*t - 10. Let l be i(-4). Suppose 4*x - 2 = l. Factor -v**4 - 7*v**2 - 3*v**4 + 8*v**4 - v**x + 4.
4*(v - 1)**2*(v + 1)**2
Let h(r) = r**2. Suppose 0 = 3*s + 1 - 4. Let l(b) be the third derivative of -b**5/30 + b**4/12 - b**3/2 + 3*b**2. Let v(n) = s*l(n) + 3*h(n). Factor v(g).
(g - 1)*(g + 3)
Let r be (1/(-5))/(14/(-140)). Determine p so that -16 - 15*p + 7*p**r - 4 + 0*p**2 - 2*p**2 = 0.
-1, 4
Let b be 3 + (12/(-3) - 20). Let p be 3*1 + (1 - (-60)/b). Solve p*k**2 + 0*k - 12/7*k**3 - 4*k**5 - 48/7*k**4 + 0 = 0 for k.
-1, 0, 2/7
Let q(w) = 6*w**4 - 2*w**3 - 6*w**2 + 5*w - 3. Let j(l) = -5*l**4 + 2*l**3 + 5*l**2 - 4*l + 2. Let z(t) = -3*j(t) - 2*q(t). Determine u so that z(u) = 0.
-1, 0, 2/3, 1
Let h(i) = 2*i**3 + 8*i**2 + 16*i + 6. Let m(s) = 11 + 4*s**3 - 4 + 1 + 32*s + 15*s**2 + 3. Let z(n) = -5*h(n) + 2*m(n). Solve z(f) = 0.
-2, -1
Let h = -7297/9 - -811. Let d(z) be the first derivative of -6 + 7/15*z**2 + 1/30*z**4 + h*z**3 + 2/5*z. Factor d(c).
2*(c + 1)**2*(c + 3)/15
Let l = 746/39 - 14623/780. Let j = l + 1/52. Suppose 6/5*t**4 + j*t + 0 - 2*t**3 + 2/5*t**2 = 0. What is t?
-1/3, 0, 1
Let o(g) be the second derivative of 5*g**4/3 - 214*g**3/3 + 84*g**2 - 273*g. Factor o(u).
4*(u - 21)*(5*u - 2)
Let k be ((-12)/75)/((-42)/70). Determine x, given that 2/15*x**4 - k*x**3 + 2/15*x**2 + 0*x + 0 = 0.
0, 1
Let p(b) be the third derivative of -1/80*b**6 + 1/60*b**5 - 1/96*b**4 - 1/1344*b**8 + 5*b**2 + 0*b + 1/210*b**7 + 0 + 0*b**3. Determine m so that p(m) = 0.
0, 1
Let v be (-6)/(-9)*3/24. Let k(l) be the third derivative of v*l**4 + 1/12*l**5 + 0*l**3 - 5*l**2 + 0*l + 0. Solve k(p) = 0.
-2/5, 0
Let o be -82 + 99 - (-2 - -14). Suppose 362/7*d**4 - 1362/7*d**2 - 40*d - 6*d**o - 478/7*d**3 + 200/7 = 0. Calculate d.
-1, -2/3, 2/7, 5
Suppose 4*w + 2 = 2*c, 13 = -2*w - 5*c - 6. Let q be 0/2*w/4. What is l in -8/11 + 2/11*l**3 + 6/11*l**2 + q*l = 0?
-2, 1
Let b(l) = -3*l**2 + 3*l + 14. Let i be b(3). Let u be -4 - -8 - (-4 + -4)/i. Factor 1/2 - 1/4*k**u + 1/4*k.
-(k - 2)*(k + 1)/4
Let u(f) = f**2 + 16*f + 24. Let t be u(-10). Let r be 40/18 + (32/t)/4. Find q such that -2/5*q + 56/5*q**4 + 4/5 - 42/5*q**r - 16/5*q**3 = 0.
-1/2, 2/7, 1
Let q(y) = y**2 + 2*y + 1. Suppose 0 = -3*c - 4*h - 0 + 3, -6 = -2*h. Let j be q(c). Factor j*a**2 + 21 + 12*a - 21.
4*a*(a + 3)
Let n(w) be the second derivative of -3*w**2 + 0 + 4/3*w**3 + 3*w - 1/6*w**4. Suppose n(z) = 0. Calculate z.
1, 3
Let k(t) = 3*t**2 - 5*t - 6. Let m(r) = -2*r - 1. Let z(h) = k(h) - 2*m(h). Determine v, given that z(v) = 0.
-1, 4/3
Let 36/7 + 20/7*w - 17/7*w**2 - 1/7*w**3 = 0. What is w?
-18, -1, 2
Suppose 3*h = -4*s + 593, -3*h + 2*s + 427 + 136 = 0. Solve -h*m + 9 + 377*m - 192*m - 3*m**2 = 0.
-3, 1
Let d(r) = r**3 - r + 1. Let g(b) = -b**3 - 36*b**2 - 119*b - 82. Let z(c) = -2*d(c) + g(c). Factor z(i).
-3*(i + 1)*(i + 4)*(i + 7)
Let k be 52/4160*(4 + -2). Let t(w) be the third derivative of -k*w**4 - 1/5*w**3 + 1/50*w**5 + 0*w - 12*w**2 + 1/200*w**6 + 0. Factor t(q).
3*(q - 1)*(q + 1)*(q + 2)/5
Let y = 375 + -4499/12. Let r(k) be the second derivative of 0*k**2 + 1/6*k**3 + y*k**4 + 0 - 1/20*k**5 - 1/30*k**6 + k. Determine m so that r(m) = 0.
-1, 0, 1
Let j(r) = 8*r + 3. Let k be j(0). Let c(a) be the second derivative of 5/12*a**k - a + 0 + 1/8*a**4 + 1/2*a**2. Determine i so that c(i) = 0.
-1, -2/3
Let u = -7 - -18. Let s = 13 - u. Factor 5*g**s + 3 - 3*g - 2 - g**3 - 2*g**2.
-(g - 1)**3
Let z(m) = -4*m - 21. Suppose -18 = -7*i + 10*i. Let g be z(i). Let 32*y**3 - 32*y**g - 2*y**4 + 2*y**2 = 0. Calculate y.
-1, 0, 1
Let g(a) be the third derivative of 0*a**3 + 0*a - 4*a**2 + 1/60*a**6 + 0 + 4/3*a**4 - 4/15*a**5. Let g(t) = 0. Calculate t.
0, 4
Let y(h) = h**2 - 6. Let l be y(0). Let c be 4/(-28) - l/42. Suppose i**2 + 2*i**2 + c*i + 2*i**2 - 5*i - 10 = 0. Calculate i.
-1, 2
Suppose 0 = -49*d + 48*d + 4. Determine r, given that 2*r**5 + 3*r**2 - 4*r - 9*r**d + 2*r**3 + 4*r**4 - r**4 + 3*r**2 = 0.
-1, 0, 1, 2
Let q(h) be the second derivative of 0 - 1/15*h**5 + 6*h + 0*h**3 - 1/3*h**4 - 3/2*h**2. Let w(g) be the first derivative of q(g). Let w(i) = 0. Calculate i.
-2, 0
Factor 5 + 3*u - 6*u**2 + u**2 - 4*u + 6*u - 5*u**3.
-5*(u - 1)*(u + 1)**2
Let -48/5*q**3 - 6*q**2 + 0 + 60*q - 6/5*q**4 = 0. Calculate q.
-5, 0, 2
Let w(n) = n**2 + 14*n. Let b be w(-15). Let g be 33/(-2)*20/b*-1. Factor 25/3*t**4 - 44/3*t - 8/3 - g*t**2 - 5/3*t**3.
(t - 2)*(t + 1)*(5*t + 2)**2/3
Find c, given that 5*c**3 + 22*c + 10 + 33/2*c**2 + 1/2*c**4 = 0.
-5, -2, -1
Let a(z) be the second derivative of -z**6/15 - z**5/15 + 2*z**4/9 + 2*z**3/9 - z**2/3 - 4*z + 2. Find r, given that a(r) = 0.
-1, 1/3, 1
Suppose f - 5*f = -8. Find b such that -4*b**2 - 4*b - 4 + 0*b**f - b**2 + 4*b**2 = 0.
-2
Let b(x) be the third derivative of -x**7/1155 - x**6/220 - x**5/165 + 105*x**2. Factor b(g).
-2*g**2*(g + 1)*(g + 2)/11
Suppose 4*x = -4*d + 8 + 4, -x + 3 = 4*d. Let d*k - 3*k + 625*k**2 - 626*k**2 = 0. Calculate k.
-3, 0
Let w(a) = 886*a - 2653. Let f be w(3). Determine v, given that 1/3*v + 0 + 1/3*v**f + 0*v**4 - 2/3*v**3 + 0*v**2 = 0.
-1, 0, 1
What is y in -2/3*y**2 + 6*y**3 + 0 + 2/3*y**4 - 6*y = 0?
-9, -1, 0, 1
Suppose 0*d - 25*d + 50 = 0. Let w(y) be the first derivative of -2/5*y**5 - 2/5*y**d + 4 - 1/10*y**4 + 1/5*y**6 + 2/3*y**3 + 0*y. Determine z so that w(z) = 0.
-1, 0, 2/3, 1
Let v be 35/7*((-182)/(-10) - 1). Let i = -84 + v. Find p, given that -14/11*p**i + 0 - 2/11*p**4 + 10/11*p**3 + 6/11*p = 0.
0, 1, 3
Suppose -w - 5 = -6*w. Suppose 5*j - 3*i - 18 = 0, 4*i + 2 = -j + w. Solve 0 + 0*u - u**4 + u**2 + 1/2*u**j - 1/2*u**5 = 0 for u.
-2, -1, 0, 1
Let d(x) = x**4 - x**3 - x**2 + x + 2. Let k(b) = -18*b**4 + 63*b**3 - 72*b**2 + 27*b - 30. Let i(z) = 15*d(z) + k(z). Let i(t) = 0. What is t?
0, 1, 14
Let y(f) = 19*f**4 + 118*f**3 - 210*f**2 + 34*f - 17. Let a(k) = -7*k**4 - 39*k**3 + 70*k**2 - 12*k + 6. Let u(i) = 17*a(i) + 6*y(i). Let u(g) = 0. What is g?
0, 2, 7
Suppose -61*n + 62*n = 0. Let m(h) be the second derivative of -5/9*h**3 - 7/18*h**4 + n + 2/3*h**2 - 5*h. Determine o so that m(o) = 0.
-1, 2/7
Let k(z) = 2*z**2 + 2*z - 197. Let o(j) = -9*j**2 - 18*j + 789. Let y(r) = 21*k(r) + 5*o(r). Factor y(w).
-3*(w + 8)**2
Let d(w) be the third derivative of 2*w**7/105 + 11*w**6/30 + 2*w**5 + 293*w**2. Factor d(i).
4*i**2*(i + 5)*(i + 6)
Let 244*r + 5*r**2 - 304*r - 8*r**2 + 63 = 0. What is r?
-21, 1
Let y = -65 + 44. Let m be ((-7)/(y/2))/1. Factor -2/3*h**2 + m + 0*h.
-2*(h - 1)*(h + 1)/3
Let q(u) be the first derivative of -7/10*u**2 - 2/15*u**3 + 14 - 4/5*u + 1/20*u**4. Let q(w) = 0. Calculate w.
-1, 4
Suppose 35860 = 4*p + 35852. Solve -8/3 + 9*k**3 - 4*k + 6*k**p = 0 for k.
-2/3, 2/3
Factor -1372000 - 58800*p - 11*p**2 + 9*p**3 - 11*p**3 - 2*p**3 - 829*p**2.
-4