. Let w(o) = 3*o**3 + 3*o**2 - 6*o + 8. Let h(d) = 2*u(d) - 9*w(d). Find t such that h(t) = 0.
-4, 1, 2
Let o be 59/19 - (-44)/(-418). Factor -8/3 + 14/3*m - 4/3*m**2 - 2/3*m**o.
-2*(m - 1)**2*(m + 4)/3
Let s(b) = -14*b - 65. Let m be s(-5). Let i(d) be the second derivative of 0*d**3 - 1/54*d**4 + 0*d**2 + m*d + 0. Factor i(k).
-2*k**2/9
Let y(a) = a**3 - 16*a**2 - 40*a - 21. Let t be y(18). Let s = t + 93. Find r such that -1/2*r**4 - 1/2*r**3 + 0*r + s + r**2 = 0.
-2, 0, 1
Let v(c) be the first derivative of -6*c**5/25 - 9*c**4/20 + 3*c**2/10 + 87. Determine d so that v(d) = 0.
-1, 0, 1/2
Factor 24*f**2 + 36*f**3 + 3*f**5 - 5*f**4 + 9*f**4 + 14*f**4.
3*f**2*(f + 2)**3
Let m = 2/249 - -25/332. Let h(q) be the third derivative of -1/6*q**3 + 0 + m*q**4 + 0*q - 1/60*q**5 + 6*q**2. Find z such that h(z) = 0.
1
What is m in 48*m**2 + 40 + 19*m + 54*m**4 + 29*m + 3*m**3 + 10*m**5 - 190*m**2 - 11*m**3 - 2*m**3 = 0?
-5, -2, -2/5, 1
Let d = -9 + 19. Determine s so that 3*s + 5*s**2 + 2*s - d*s**2 = 0.
0, 1
Factor 5/3*i**2 - 5*i + 0.
5*i*(i - 3)/3
Let t(q) be the second derivative of q**5/110 + q**4/66 + 20*q + 1. Factor t(r).
2*r**2*(r + 1)/11
Let o(v) = -22*v - 18. Let x be o(3). Let d be 22/x + (-13)/(637/(-21)). Solve -5/6*a**2 - 1/3*a**3 - d - 2/3*a = 0.
-1, -1/2
Determine s so that 5/6*s**3 - 4/3*s**2 - 1/6*s**4 + 0 + 2/3*s = 0.
0, 1, 2
Suppose 5*b - 5*k - 115 = 0, k = -3*b - k + 49. Let w = b + -17. Factor w + 6*u + 10*u**2 - 7 + 1.
2*(u + 1)*(5*u - 2)
Let v(o) be the first derivative of 0*o + 10 - 5/3*o**3 + 25/2*o**2. Determine g, given that v(g) = 0.
0, 5
Let v = 99 + -97. Let d(x) be the first derivative of 3*x**3 + 21/2*x**v + 4 + 6*x. Let d(y) = 0. What is y?
-2, -1/3
Let p(z) be the third derivative of z**4/12 - z**3/6 + z**2. Let a be p(2). Determine l so that -3*l**3 + 6*l + 2*l**3 - l**a - 4 + 0*l = 0.
-2, 1
Let k(j) = -3*j - 5. Let n be k(-4). Suppose 3*c - 18 - 9 = 0. Suppose 2*d - 3*d**2 + n*d**5 - c*d**3 - d**2 + 5*d**4 - d**2 = 0. Calculate d.
-1, 0, 2/7, 1
Let z(g) = g**4 + 3*g**3 - 3*g**2 + 8*g. Let n(q) be the third derivative of -q**6/120 - q**5/60 - q**3/6 + 17*q**2. Let k(y) = -3*n(y) - z(y). Factor k(b).
-(b - 1)**3*(b + 3)
Let k(p) be the third derivative of p**5/270 - 7*p**4/54 + 56*p**2. Determine d, given that k(d) = 0.
0, 14
Let n(x) be the first derivative of -x**6/40 - 3*x**5/10 - 9*x**4/8 - 20*x**2 - 38. Let m(c) be the second derivative of n(c). Factor m(l).
-3*l*(l + 3)**2
Let v(n) be the first derivative of -4/5*n**5 + 4*n**4 + 16 - 20/3*n**3 + 0*n + 4*n**2. Factor v(f).
-4*f*(f - 2)*(f - 1)**2
Let x(g) = -g + 4*g**2 - 2*g**2 - 7*g + 4*g**2 + g**3 - 4. Let l be x(-7). What is z in -4 + 7*z**l - 2 - 3*z + 6*z**2 - 4*z**3 = 0?
-2, -1, 1
Let k(d) be the first derivative of -4*d**5/45 + d**4/3 + 4*d**3/3 - 6*d**2 - 687. Suppose k(t) = 0. Calculate t.
-3, 0, 3
Let a(t) be the second derivative of t**5/330 - t**4/44 - 4*t**3/33 - 15*t**2 - 2*t. Let b(j) be the first derivative of a(j). Factor b(h).
2*(h - 4)*(h + 1)/11
Suppose -4*v + 10 = 2*d, 3*d - 8 = -v + 2. Determine h so that -17*h**d + 46*h - 30*h - 38*h**2 + 31*h**3 + 8 = 0.
-2/7, 1, 2
Suppose 5*z = -2*t + 23, 0 = z + 2*t - 10 - 1. Let u(v) = -v**3 + v + 4. Let c be u(0). Find s such that 0*s + 1/2*s**c + 1/2 - s**2 + 0*s**z = 0.
-1, 1
Factor -17*l + 4*l**2 - 7*l + 14 - 136 + 12*l - 38.
4*(l - 8)*(l + 5)
Let m(o) = -o**2 + 80*o - 759. Let j be m(69). Let w = 14/27 + -1/54. Factor h**2 + j - w*h - 1/2*h**3.
-h*(h - 1)**2/2
Let a = 2/4127 - -4123/8254. Let w = 1/5 + 3/10. Solve a*j**3 + 0 + w*j - j**2 = 0.
0, 1
Let i(w) be the second derivative of -21*w**5/20 + 5*w**4/4 + 8*w**3 + 6*w**2 - 26*w. What is s in i(s) = 0?
-1, -2/7, 2
Factor 8/3 + 10/3*h**2 - 2/3*h**3 - 16/3*h.
-2*(h - 2)**2*(h - 1)/3
Let f be (-18)/3*(4/(-8) - 0). Factor 33*w**5 - 4*w**4 - w**f + 3*w**3 - 31*w**5.
2*w**3*(w - 1)**2
Let n(f) = -2*f**3 + 2*f**2 - f + 1. Let t(y) = 2*y**3 - 38*y**2 - 41*y + 77. Let l(b) = 3*n(b) + t(b). Let l(z) = 0. What is z?
-5, -4, 1
Suppose -4948/3*w**2 - 332/3 + 2716/3*w**3 + 1760*w**4 - 884*w - 64/3*w**5 = 0. Calculate w.
-1, -1/4, 1, 83
Let i = -7257/7 - -1037. Suppose -2/7*s**5 + 2/7*s**3 - 2/7*s**2 + i*s**4 + 0 + 0*s = 0. Calculate s.
-1, 0, 1
Let x = -28/1105 + 384/65. Factor -x - 90/17*r - 24/17*r**2 - 2/17*r**3.
-2*(r + 2)*(r + 5)**2/17
Suppose 20 = -7*b + 2*b. Let p(w) = 5*w**3 + 2*w**2 + 2*w + 5. Let g(n) = -3*n**3 - n**2 - n - 3. Let s(l) = b*p(l) - 7*g(l). Factor s(j).
(j - 1)**2*(j + 1)
Let t(s) be the first derivative of -3*s - 2/3*s**3 + 23 - 11/4*s**2 + 1/8*s**4. Factor t(c).
(c - 6)*(c + 1)**2/2
Let n be (15/(-2520))/(3/(-6)). Let j(m) be the third derivative of 1/210*m**5 - 2/21*m**3 + 0 - n*m**4 + 0*m - 2*m**2. Factor j(v).
2*(v - 2)*(v + 1)/7
Let r(k) be the first derivative of 42*k**6 + 1636*k**5/5 + 788*k**4 + 1088*k**3/3 - 640*k**2 + 192*k - 470. What is t in r(t) = 0?
-3, -2, 2/9, 2/7
Let h = 190472/5 - 38094. Let r = 14 - 10. Factor -2/5*k**3 - 2/15*k - h*k**2 + 0 - 2/15*k**r.
-2*k*(k + 1)**3/15
Suppose -64*p - 360*p**2 - 36*p + 15*p**3 - 50*p**3 = 0. Calculate p.
-10, -2/7, 0
Let r = -7379/480 - -123/8. Let b(o) be the third derivative of 0*o**5 + 0 + 0*o + 0*o**3 - 5*o**2 + 0*o**4 + r*o**6 + 1/840*o**7. Let b(t) = 0. What is t?
-1, 0
Let g(x) = x**2 - 19*x - 46. Let f be g(22). Factor -2*y**4 - 4*y**2 - f*y**3 + 17 + 55 + 84*y - 2*y**4.
-4*(y - 2)*(y + 1)*(y + 3)**2
Let x(c) = c**3 - 181*c**2 - 3864*c + 4038. Let b(j) = 180*j**2 + 3866*j - 4042. Let y(i) = 6*b(i) + 4*x(i). What is m in y(m) = 0?
-45, 1
Let x(h) = 3*h**2 - 9*h + 6. Suppose l - 3*l = -18. Let b = l + -15. Let t(j) = -3*j**2 + 9*j - 6. Let m(z) = b*x(z) - 5*t(z). Suppose m(q) = 0. Calculate q.
1, 2
Let h be 2/(-15)*-12*-5. Let g be (2/h)/(3/(-8)). Factor 4/3*v**3 + g*v**2 + 0 + 2/3*v**4 + 0*v.
2*v**2*(v + 1)**2/3
Let n = -209/2 + 1077/10. Find c such that 52/5*c + 4/5*c**4 + 12*c**2 + n + 28/5*c**3 = 0.
-4, -1
Let l(x) be the second derivative of 8*x**7/21 + 16*x**6/15 - 331*x**5/20 + 605*x**4/24 - 61*x**3/4 + 9*x**2/2 - 59*x + 1. Solve l(a) = 0.
-6, 1/4, 1/2, 3
Suppose -16*w = -21*w + 30. Let i be (28/98)/(1 + w/(-14)). Factor i*q - 1/4 - 1/4*q**2.
-(q - 1)**2/4
Let b(q) be the first derivative of q**5/5 - q**4/2 + 16. Let b(l) = 0. Calculate l.
0, 2
Let z(n) be the third derivative of 0*n + 0*n**4 - 2/105*n**5 + 13*n**2 + 3 + 1/420*n**6 + 0*n**3. Factor z(x).
2*x**2*(x - 4)/7
Let g(l) be the second derivative of l**4/48 + 2*l**3/3 - 17*l**2/8 + 732*l. Factor g(p).
(p - 1)*(p + 17)/4
Let z(a) be the third derivative of -a**5/60 + 11*a**4/24 - 3*a**3 + 129*a**2. Solve z(j) = 0.
2, 9
Let n(g) be the third derivative of -25/36*g**4 + 1/36*g**5 + 0 - 4*g**2 + 125/18*g**3 + 0*g. Solve n(q) = 0.
5
What is p in 0 + 103/4*p + 1/4*p**2 = 0?
-103, 0
Determine n so that 2 + 1/2*n**2 - 5/2*n = 0.
1, 4
Let d be 696/1740*(-10)/(-6). Solve -8/3 + d*j**3 + 2*j**2 + 0*j = 0 for j.
-2, 1
Let f be 2/9 - (-368)/(-36). Let m be ((-127)/(-1))/((-10)/f). Let 12*v**4 - 127 - 8*v**2 - 4*v**3 + m = 0. What is v?
-2/3, 0, 1
Let b = 4331/38817 - 2/4313. Let q(d) be the first derivative of 6 + 0*d**2 + 1/30*d**5 + 1/6*d - b*d**3 + 0*d**4. Factor q(w).
(w - 1)**2*(w + 1)**2/6
Let m(w) be the third derivative of -1/108*w**4 + 0 + 1/270*w**5 - 3*w**2 + 0*w**3 + 0*w. Factor m(s).
2*s*(s - 1)/9
Let c = 5869 + -11723/2. Factor c*x**2 + 5 - 5/4*x**3 - 45/4*x.
-5*(x - 4)*(x - 1)**2/4
Let m(p) be the second derivative of p**5/5 + 4*p**4/3 - 10*p**3/3 - 36*p. Factor m(y).
4*y*(y - 1)*(y + 5)
Let s = -7 - -17. Factor 2*o**2 + 0*o**3 - 4*o**4 - 4*o**3 - 3*o**5 + 12 - s + 5*o + 2*o**5.
-(o - 1)*(o + 1)**3*(o + 2)
Let t be 11214/(-216) + (-1 - (4 - 2)). Let d = t - -241/4. Factor -2/3*s**2 + 8/3 - d*s + 4/3*s**3.
2*(s - 2)*(s + 2)*(2*s - 1)/3
Factor b**5 + 3 - b**2 - 220*b - 2*b**3 + 221*b - 5*b**2 - 2*b**4 + 5*b**4.
(b - 1)**2*(b + 1)**2*(b + 3)
Suppose -3*h + 84 = 3*h. Factor -2*u - 14 - 4*u**2 + 2 + 0 - h*u.
-4*(u + 1)*(u + 3)
Let r(i) = -6*i**4 + 164*i**3 - 1600*i**2 - 1764*i + 2. Let v(s) = -13*s**4 + 328*s**3 - 3202*s**2 - 3528*s + 5. Let q(x) = -5*r(x) + 2*v(x). Solve q(b) = 0.
-1, 0, 21
Let d = 5 + -3. Let u be 9/(-6) + 14/4. Solve 3*y - y**2 + 2*y**d - u*y = 0.
-1, 0
Let q(m) be the second derivative 