36*t**4 - d*t**6 + 0*t**3. Determine i so that l(i) = 0.
-1, 0
Let c be ((-73)/876)/((-13)/(-8) - 2). Find b such that 0*b**4 + 4/9*b**3 + 0 - c*b**5 + 0*b**2 - 2/9*b = 0.
-1, 0, 1
Let u(j) be the first derivative of -7*j**3/3 - 9*j**2/2 - 2*j + 91. Determine c, given that u(c) = 0.
-1, -2/7
Suppose 16*l - 24 = 72. Let i be 987/940 - l/(-8). Determine n so that -6/5*n + 1/5*n**2 + i = 0.
3
Let v(u) be the second derivative of -1/50*u**6 + 0*u**2 - 4*u + 1/20*u**4 - 3/100*u**5 - 1 + 1/10*u**3. Factor v(o).
-3*o*(o - 1)*(o + 1)**2/5
Let o be 178/408 - (-8 + (-1940)/(-240)). Factor -8/17*l - 8/17 + o*l**2.
2*(l - 2)*(3*l + 2)/17
Let r(t) be the third derivative of 0 + 1/480*t**5 - 5*t**2 - 1/1440*t**6 - 5/6*t**3 + 0*t + 1/48*t**4. Let k(m) be the first derivative of r(m). Factor k(q).
-(q - 2)*(q + 1)/4
Let m be 32/6 - 3/9. Suppose -5*w + 35 = m*v, w - 3*v = -0*w + 7. Solve -21*z**5 - 24*z**4 - 13*z**5 + 78*z**4 - 36*z**3 - z + w*z**5 + 10*z**2 = 0.
0, 1/3, 1
Let v(d) be the first derivative of -13*d**4/5 - 112*d**3/15 + 40*d**2 + 64*d/5 + 723. Let v(q) = 0. What is q?
-4, -2/13, 2
Let w = -35 + 61. Suppose w - 32 = -2*v. Factor -1/2*q + 3/4*q**2 - 1/4*q**v + 0.
-q*(q - 2)*(q - 1)/4
Let w(y) be the second derivative of y**6/240 - 7*y**5/80 - 31*y**4/96 - y**3/3 + 261*y. Let w(j) = 0. Calculate j.
-1, 0, 16
Let o(w) = -3*w**2 - 18*w - 20. Let m be -54 - 4/(12/3). Let a(q) = -80*q**2 - 485*q - 540. Let g(v) = m*o(v) + 2*a(v). Suppose g(f) = 0. What is f?
-2
Suppose -5*r + 12 + 3 = 0. Let m = -160 - -484/3. Factor 0*y - y**2 + m - 1/3*y**r.
-(y - 1)*(y + 2)**2/3
Let z = 680 + -3399/5. Let o = 5 - 3. Factor -z*m**o + 2/5*m + 3/5.
-(m - 3)*(m + 1)/5
Let y(f) be the third derivative of f**5/150 - 11*f**4/30 + 8*f**3/3 - 60*f**2 - 4*f. Factor y(a).
2*(a - 20)*(a - 2)/5
Let z(s) be the second derivative of -8/15*s**6 + 0*s**2 + 0*s**3 - 2/3*s**4 + 3*s + 0 - 9/5*s**5. Find i such that z(i) = 0.
-2, -1/4, 0
Let l(f) = -948*f + 951. Let w be l(1). Factor 0*o**w + 0*o - 3/5*o**5 + 0*o**2 + 0 + 3/5*o**4.
-3*o**4*(o - 1)/5
Suppose 0 = -5*z - 3*i + 2875, -2*i + 2337 = 4*z - 7*i. Solve z*w**2 - 11*w - w**3 - 14*w - 588*w**2 = 0 for w.
-5, 0
Let m(u) be the third derivative of -u**5/15 + 4*u**4/3 + 6*u**3 - 77*u**2. Solve m(d) = 0.
-1, 9
Suppose -3*n = 5*j + 3, -2*j + 3 = -3*j. Let t(o) be the first derivative of 4/5*o**5 - 1/2*o**n + 0*o - 4/3*o**3 - 8 + o**2. Factor t(m).
2*m*(m - 1)*(m + 1)*(2*m - 1)
Factor 5/2*u - 25*u**2 - 5/2*u**3 + 25.
-5*(u - 1)*(u + 1)*(u + 10)/2
Let x = 1 - -3. Let b be 0/(x/(-1 + -3)). Determine z so that 2/3*z**4 + 2*z**2 + b - 2/3*z - 2*z**3 = 0.
0, 1
Let m(u) be the third derivative of 2/21*u**3 + 0 + 11/84*u**4 - 13/210*u**5 - 7*u**2 + 0*u. Factor m(y).
-2*(y - 1)*(13*y + 2)/7
Let n(k) be the second derivative of k**5/140 + 5*k**4/42 + 2*k**3/3 + 12*k**2/7 - 41*k. What is a in n(a) = 0?
-6, -2
Let a(p) be the second derivative of -p**5/70 - 29*p**4/21 - 841*p**3/21 + 40*p. Factor a(j).
-2*j*(j + 29)**2/7
Let a be 0/2*((-81)/18 - -4). Factor 0 + 0*x**2 + 9/2*x**4 + a*x + x**3.
x**3*(9*x + 2)/2
Suppose -p + 51 = 2*t, 3*p - 96 - 60 = -5*t. Suppose p*f**2 - 12 - f + 41*f - 50*f**2 = 0. Calculate f.
-6, 2/7
Let x be (-7)/(-42) - (-35)/6. Factor 7*i**4 - 16*i**3 + 6*i**3 - x*i**3 - 35*i**4.
-4*i**3*(7*i + 4)
Factor -20*v**4 - 49*v**5 - 24*v**3 + 158*v**5 - 50*v**5 - 55*v**5.
4*v**3*(v - 6)*(v + 1)
Solve 3*p**5 + 9/5*p**4 + 12/5*p**2 + 0*p + 0 - 36/5*p**3 = 0.
-2, 0, 2/5, 1
Let x(q) be the second derivative of -q**7/42 + q**6/15 + q**5/5 - 2*q**4/3 + 94*q. Let x(p) = 0. What is p?
-2, 0, 2
Let v = 3849/2 - 1924. Let y(a) be the first derivative of -8/9*a**3 + 0*a + 4/15*a**5 - 4/3*a**2 + v*a**4 + 5 - 1/9*a**6. Suppose y(z) = 0. Calculate z.
-1, 0, 2
Let q(z) = z - 10. Let s be q(7). Let i(r) = r**2 - r + 1. Let u(x) = 2*x**2 - 4*x + 3. Let b(j) = s*i(j) + u(j). Suppose b(t) = 0. What is t?
-1, 0
Suppose 5/2*b**5 - 35/2*b**3 + 25/4*b**4 - 45*b - 55*b**2 - 45/4 = 0. Calculate b.
-3, -1, -1/2, 3
Suppose 5*v = 215 - 200. Let x(p) be the second derivative of 0 - 13/21*p**4 - 2/105*p**6 - 8/7*p**v - 6/35*p**5 - 8/7*p**2 + 9*p. Factor x(t).
-4*(t + 1)**2*(t + 2)**2/7
Let n = 167/220 + -1/110. Let d be -3*(-95)/180 - (-4)/6. What is t in -d*t**4 + 0*t + 3*t**3 - n*t**2 + 0 = 0?
0, 1/3, 1
Suppose 0 = -160*q + 162*q - 8. Suppose 4*j = 2*j - 3*j. Let 0 + j*w - 2/13*w**q + 2/13*w**3 + 0*w**2 = 0. Calculate w.
0, 1
Let d = -22747 + 22747. Suppose 2/11*c**4 + 2/11*c**3 - 4/11*c**2 + 0*c + d = 0. What is c?
-2, 0, 1
Let v(a) be the third derivative of 1/45*a**6 + 0*a + 0 - 1/90*a**5 - 13*a**2 + 0*a**3 + 0*a**4. Factor v(n).
2*n**2*(4*n - 1)/3
Let c(o) = -3*o**2 - 17*o. Let q(m) = -11*m - 4*m**2 + 6*m - 10*m - 3*m. Let t(v) = -6*c(v) + 5*q(v). Factor t(k).
-2*k*(k - 6)
Let u(s) be the third derivative of s**5/420 - 3*s**4/56 + 4*s**3/21 + 93*s**2. Suppose u(d) = 0. What is d?
1, 8
Find u, given that 0 - 2/13*u**3 + 2/13*u**2 + 12/13*u = 0.
-2, 0, 3
Let v be 432/(-384)*32/(-6). Factor -v*j - 3/4*j**2 - 12.
-3*(j + 4)**2/4
Suppose 0 = -18*k + 14*k + 16. Let n(r) = -5*r**2 + 25*r. Let u(w) = w**2 - 6*w. Let y(c) = k*n(c) + 18*u(c). Factor y(t).
-2*t*(t + 4)
Let x(u) be the third derivative of -u**5/60 - 53*u**4/12 - 2809*u**3/6 + 4*u**2 + 17*u. Suppose x(g) = 0. Calculate g.
-53
Let w be -2*(5 - (-5 + 306/30)). Factor -w*f**3 + 3/5*f**2 + 3/5*f - 2/5.
-(f - 2)*(f + 1)*(2*f - 1)/5
Suppose 8*n + 103 = 7. Let g(v) = -6*v**3 + 42*v**2 + 6*v - 47. Let b(a) = -15*a**3 + 105*a**2 + 15*a - 117. Let m(l) = n*g(l) + 5*b(l). Factor m(h).
-3*(h - 7)*(h - 1)*(h + 1)
Let n(u) be the third derivative of 5*u**8/336 + 11*u**7/42 + 23*u**6/24 - 47*u**5/12 - 5*u**4 + 30*u**3 - 3*u**2 + 4*u. Find z such that n(z) = 0.
-6, -1, 1
Suppose -v = -7*v + 24. Factor -8*p**3 + 4*p + 4*p**v + 19*p**3 - 15*p**3 - 4*p**2.
4*p*(p - 1)**2*(p + 1)
Determine y, given that -68/9*y**2 + 4 + 32/9*y**4 + 2/3*y**5 + 8/3*y**3 - 10/3*y = 0.
-3, -1, 2/3, 1
Let t(x) = 7*x - 29. Let p(h) = 16*h - 59. Let i(q) = -6*p(q) + 13*t(q). Let b be i(-5). Solve 0 - 4/7*y**b + 0*y - 2/7*y**3 = 0 for y.
-2, 0
Let p be (-52335)/(-18) + (-6)/(-4). Factor -p - 5*f + 5*f**2 + 2909.
5*f*(f - 1)
Suppose 2*l + 3*m - 14 = 0, 6*l + 3*m - 15 = 3*l. Find f, given that -523*f + 529*f - l + 1 + 2*f**2 = 0.
-3, 0
Let j be -1 - (-3)/21*11. Let o(f) = -f**2 - 14*f - 11. Let s be o(-13). Determine h, given that 24/7*h**s + 0 - j*h**3 - 36/7*h = 0.
0, 3
Let d = 136/129 + 12/43. Let z(o) be the first derivative of d*o - o**2 + 2/9*o**3 - 1. Find q such that z(q) = 0.
1, 2
Let x be (-4)/18 + (-8)/(-36). Let v(m) be the second derivative of 0*m**4 + x + 1/45*m**6 + 1/30*m**5 + 0*m**3 + 0*m**2 - 3*m. Solve v(g) = 0 for g.
-1, 0
Let t(u) be the second derivative of -u**8/6720 + u**7/504 - u**6/240 - 3*u**5/40 - 17*u**4/12 - 17*u. Let j(q) be the third derivative of t(q). Solve j(a) = 0.
-1, 3
Let h be (-1 - -1)/((-19 + 95)/19). Factor 2/13*x**2 - 2/13*x + h.
2*x*(x - 1)/13
Find r such that 0*r - 5/3*r**3 + 0 - 5/12*r**5 - r**2 + 23/12*r**4 = 0.
-2/5, 0, 2, 3
Suppose 0 = q + 63 - 2. Let h = q + 64. Solve -w**4 + 8/5 + 28/5*w - 7/5*w**h + 18/5*w**2 = 0.
-2, -1, -2/5, 2
Solve -124/3*t**2 + 128/3*t + 52/3*t**3 - 8/3*t**4 - 16 = 0 for t.
1, 3/2, 2
Let w(i) be the second derivative of i**7/357 - 2*i**6/255 + i**5/170 + 35*i - 1. Find j, given that w(j) = 0.
0, 1
Let d = 76 + -22. Find i such that 3*i**4 + 54 + 0*i**4 - d - 6*i**3 = 0.
0, 2
Suppose 3*a - 21 = -39*c + 42*c, -2*a + 4*c = -28. Find b such that -3/2*b**4 + 3/2*b**2 - b + 1/2*b**5 + 1/2*b**3 + a = 0.
-1, 0, 1, 2
Let l be (-1256)/52 - (-4)/26. Let c be ((-4)/l)/((-6)/(-18)). Solve -1/6*s**3 + 0 - c*s**2 - 1/3*s = 0 for s.
-2, -1, 0
Let r = 673/2 + -329. Let x = -7 + r. Find n such that -1/2*n**4 + 1/4*n + 0*n**3 + 0 + x*n**2 - 1/4*n**5 = 0.
-1, 0, 1
Let z be (-8)/4*(22 + -24). Factor -1/3*v**z + v**2 - 1/3*v + 1/3*v**3 - 2/3.
-(v - 2)*(v - 1)*(v + 1)**2/3
Let r = -17 - -20. Suppose 5*d**3 + 15*d - 12*d**3 + 2*d**r - 10*d**2 = 0. What is d?
-3, 0, 1
Let p(c) be the first derivative of c**4/2 + 4*c**3/3 - 13*c**2 + 20*c + 12. What is r in p(r) = 0?
-5, 1, 2
Let o be 5 + -4 + (-17)/17. Factor 3/8*d**5 + 3/8*d + 0*d**2 - 3/4*d**3 + o + 0*d**4.
3*d*(d - 1)**2*(d + 1)**2/8
Suppose -1