*3/9 + 80*m - 2. What is y in x(y) = 0?
-5, -2, 0
Let d(q) be the third derivative of -2/3*q**4 + 1/30*q**5 + 0*q + 0 + 16/3*q**3 + 9*q**2. Solve d(t) = 0.
4
Let f = -6334/7 + 905. Let x be ((-4)/(-16))/(7/4). Let -1/7*y + 0 + f*y**2 + x*y**3 - 1/7*y**4 = 0. What is y?
-1, 0, 1
Let w(l) be the third derivative of l**5/150 - l**4/5 - 43*l**2 + 1. Determine z, given that w(z) = 0.
0, 12
Let o = -836 - -347. Let r be o/45*-1 + 1/(-5). Solve -4/3 - 2/3*w**5 - r*w**2 - 4*w**4 - 6*w - 28/3*w**3 = 0 for w.
-2, -1
Let p = -9 + 9. Suppose p = 5*f - f - 16. Suppose f*l + 3*l**2 + 0*l - l**2 = 0. Calculate l.
-2, 0
Factor 5334 - 16397 + 601*l + 257*l - 9600 - 3*l**2 - 40684.
-3*(l - 143)**2
Suppose 0 = -3*x + 6*x - 6. Factor -7*s**2 - 20*s + 52*s + 4*s**3 - 16 - 2*s**x - 11*s**2.
4*(s - 2)**2*(s - 1)
Suppose -29*y - 20 = -33*y. Suppose -3*v - y*q + 14 = 0, -3*v + 4*v - 7 = -4*q. Factor -9/4*r**2 + 3/4*r**4 - 3/2 + 3/4*r**v - 15/4*r.
3*(r - 2)*(r + 1)**3/4
Let n(i) = 37*i + 74. Let d be n(-2). Let r(g) be the third derivative of 0*g**3 + 6*g**2 + 0*g - 1/30*g**5 - 1/12*g**4 + d - 1/240*g**6. What is v in r(v) = 0?
-2, 0
Let b(w) be the third derivative of -w**7/1470 + w**6/210 - w**5/84 + w**4/84 + 142*w**2. Find t, given that b(t) = 0.
0, 1, 2
Let a be 1 + (-3 - (-5)/((-30)/(-42))). Suppose -3*m + 14 - 2 = 0. Suppose -22/3*b**2 - 26/3*b**3 + 14/3*b**m + 10/3*b**a + 8/3 + 16/3*b = 0. What is b?
-2, -1, -2/5, 1
Solve -2/5*h**3 + 0 - 4/5*h**2 + 16/5*h = 0.
-4, 0, 2
Let l(b) be the third derivative of b**5/210 + b**4/21 + 4*b**3/21 + 96*b**2. Determine d so that l(d) = 0.
-2
Let l(x) be the third derivative of 0*x + 1/30*x**4 + 0*x**5 + 1/525*x**7 + 0 - 1/15*x**3 - 1/150*x**6 - 9*x**2. Factor l(o).
2*(o - 1)**3*(o + 1)/5
Let q(u) = -7*u**3 - 26*u**2 - 73*u - 46. Let z(v) = -27*v**3 - 105*v**2 - 291*v - 183. Let d(f) = -15*q(f) + 4*z(f). Find y such that d(y) = 0.
-7, -2, -1
Let g = 1768 - 1763. Let c(u) be the second derivative of 1/10*u**6 - g*u - 1/4*u**4 - 1/2*u**3 + 0 + 3/20*u**5 + 0*u**2. Factor c(z).
3*z*(z - 1)*(z + 1)**2
Let l(a) be the first derivative of 2*a**3/45 + 9*a**2/5 + 240. Factor l(c).
2*c*(c + 27)/15
Let o(h) be the first derivative of 0*h**2 + 12 + 2/3*h**3 + 0*h - 1/2*h**4. Factor o(u).
-2*u**2*(u - 1)
Let t(j) be the third derivative of j**5/60 - 4*j**2 - 2. Suppose t(o) = 0. Calculate o.
0
Suppose 0 - 9/4*l**2 + 3/4*l**4 - 3/2*l + 0*l**3 = 0. What is l?
-1, 0, 2
Factor -80*n - 9*n**3 + 22*n**2 - 3*n**4 + 26*n**2 + 44*n.
-3*n*(n - 2)*(n - 1)*(n + 6)
Let v(q) be the third derivative of 2*q**7/105 + 2*q**6/9 - 92*q**5/135 + 16*q**4/27 + 35*q**2. What is x in v(x) = 0?
-8, 0, 2/3
Let 0*l**2 + 9/10*l**3 - 1/5 - 7/10*l = 0. Calculate l.
-2/3, -1/3, 1
Let t(w) be the second derivative of 5*w**4/24 + 55*w**3/12 + 30*w**2 + 143*w - 2. Factor t(c).
5*(c + 3)*(c + 8)/2
Let u(i) be the third derivative of -i**6/72 + 11*i**3/6 + 5*i**2. Let p(b) be the first derivative of u(b). Factor p(w).
-5*w**2
Let m be (-9 + 819/84)*(-16)/(-3). Determine h, given that -3/4*h**2 - 45/2*h**3 + 3/2*h - 81/4*h**m + 0 = 0.
-1, -1/3, 0, 2/9
Let f(d) be the first derivative of 7 + 0*d - 5/4*d**4 + 5/2*d**2 - d**5 + 5/3*d**3. Let f(k) = 0. What is k?
-1, 0, 1
Let t(p) be the first derivative of p**8/3920 + p**7/980 + p**6/840 - 34*p**3/3 - 23. Let r(f) be the third derivative of t(f). Find u, given that r(u) = 0.
-1, 0
Suppose -19*h = -65*h. Find w such that 0*w**2 + 0 - 1/6*w**3 + h*w - 1/6*w**5 + 1/3*w**4 = 0.
0, 1
Let t(f) be the first derivative of 4*f**3/15 - 12*f**2/5 + 32*f/5 - 530. Solve t(s) = 0 for s.
2, 4
Let n be (168/3276)/((8/(-52))/(-2)). Factor -n + 1/3*j**2 + 1/3*j.
(j - 1)*(j + 2)/3
Let k be (2 - 14)/(2*-1). Let u = k + -3. Factor -5*h**u - h + 9*h**2 + 2*h**3 + 4*h - 9*h.
-3*h*(h - 2)*(h - 1)
Let h(j) = -j**2 - 19*j - 16. Let a be h(-18). Factor 5 + 6*t - 6*t - 3*t**a + 5*t**4 - 7*t**2.
5*(t - 1)**2*(t + 1)**2
Let a be (-2)/10 - 2/65. Let b = a + 19/26. Determine v, given that -v**2 - 1/2*v + 0*v**3 + b*v**5 + 0 + v**4 = 0.
-1, 0, 1
Factor -30*w - 2*w**3 + 19*w + 10*w - 6*w**2 + 9*w.
-2*w*(w - 1)*(w + 4)
Determine l so that -22/3 + 2/9*l**2 + 16/9*l = 0.
-11, 3
Suppose 4*y - 53 = -i, -3*y - 46 = -6*y - 2*i. Let n = y + -10. Suppose 9*f + 5*f**2 - 6*f**n - 2*f**2 = 0. What is f?
0, 3
Let m = 30997/27 - 1148. Let z(n) be the third derivative of -m*n**3 + 0*n + 0 - 1/108*n**4 + 6*n**2 + 1/135*n**5. Factor z(x).
2*(x - 1)*(2*x + 1)/9
Let x be (-3)/10 + 10 + (-11942)/1260. Let x*k - 2/9*k**2 + 4/3 = 0. Calculate k.
-2, 3
Let d(k) be the second derivative of -k**7/70 - k**6/60 + k**5/20 + k**4/12 - k**2 + 13*k. Let u(c) be the first derivative of d(c). Find q such that u(q) = 0.
-1, -2/3, 0, 1
Factor -u**2 - 3*u + 82 - 54 + 6*u.
-(u - 7)*(u + 4)
Factor 1/2 - 9/2*c - 9/2*c**3 + 7/8*c**4 + 61/8*c**2.
(c - 2)**2*(c - 1)*(7*c - 1)/8
Let b = 14087/5 + -2817. Determine c, given that 0 - b*c + 11/5*c**2 + 2/5*c**3 - 11/5*c**4 = 0.
-1, 0, 2/11, 1
Find t such that -3*t**4 - 800*t**3 - 12800000 + t**4 - 1193627*t - 3*t**4 - 168902*t - 48000*t**2 + 82529*t = 0.
-40
Let j(c) be the third derivative of 0*c**5 + 0*c + 0*c**3 + 1/336*c**8 + 0*c**4 + 0 + 1/210*c**7 - 1/60*c**6 - 2*c**2. Find n, given that j(n) = 0.
-2, 0, 1
Suppose -7 + 10 = l. Factor 4*r**2 - r + 13*r - 4*r**l - 2*r**2 + 2*r**3.
-2*r*(r - 3)*(r + 2)
Let k(x) be the third derivative of -x**7/630 + x**5/60 + x**4/36 - 2*x**2 - 2*x. Suppose k(d) = 0. What is d?
-1, 0, 2
Suppose -2*b - 10 = -2*x - 112, 2*x + 246 = 5*b. Let l = -44 + b. Suppose 3/2*c**5 + 27/2 - 9/2*c - 21*c**2 + 3*c**3 + 15/2*c**l = 0. What is c?
-3, -1, 1
Let b be 208/(-91) - (-4)/14. Let o be (0/21)/(0 - (0 + b)). Factor -4/5*u**3 - 2/5*u**2 + 0 + o*u + 6/5*u**4.
2*u**2*(u - 1)*(3*u + 1)/5
Let v(g) be the first derivative of 5*g**6/12 - 3*g**5/2 - 5*g**4/4 + 10*g**3 - 10*g**2 + 42. Suppose v(s) = 0. What is s?
-2, 0, 1, 2
Let k = 70 + -419/6. Let u(o) be the first derivative of -3 + k*o**2 - 2/9*o**3 + 0*o + 1/12*o**4. Factor u(z).
z*(z - 1)**2/3
Let j(d) be the second derivative of d**5/25 - 8*d**4/5 - 34*d**3/5 - 52*d**2/5 - 2*d + 5. Factor j(p).
4*(p - 26)*(p + 1)**2/5
Let l be ((-15)/(-18))/((-210)/(-1134)). Factor 15/4*y**3 + 0 + 3/4*y - l*y**2.
3*y*(y - 1)*(5*y - 1)/4
Suppose -4*g + 2*h = -g + 1, -5*g + 3*h = 0. Let b(t) be the second derivative of 0*t**2 + 0 + 0*t**4 + 1/135*t**6 + 0*t**g - 2*t + 0*t**5. Factor b(y).
2*y**4/9
Suppose 62 = 32*x - 2. Let p(u) be the first derivative of 0*u - 12/5*u**5 + 1/3*u**6 + 13/2*u**4 - 3 - 8*u**3 + 4*u**x. Factor p(a).
2*a*(a - 2)**2*(a - 1)**2
Let r(o) be the second derivative of -o**4/24 - 19*o**3/12 + 21*o**2/2 + 3*o + 7. Let r(q) = 0. Calculate q.
-21, 2
Let q(s) = -s**3 - 17*s**2 - 18*s + 7. Let g be q(-16). Determine p, given that 12 - 29*p - 10*p**4 - 17*p**3 - p**3 - 7*p + g*p**2 + 13*p**4 = 0.
1, 2
Let d(s) be the first derivative of -3/5*s**5 - 3/2*s**4 - 9*s + 4*s**3 - 11 + 3*s**2. Factor d(f).
-3*(f - 1)**2*(f + 1)*(f + 3)
Let i(j) be the third derivative of -j**8/840 + j**7/840 + j**6/45 - j**5/30 - 10*j**3/3 + 19*j**2. Let m(h) be the first derivative of i(h). Factor m(l).
-l*(l - 2)*(l + 2)*(2*l - 1)
Let r = 160 + -159. Suppose -3*s + s + 2*l = 2, l - r = 5*s. Solve 44/7*g**3 + 16/7*g - 8*g**2 - 10/7*g**4 + s = 0.
0, 2/5, 2
Let u(g) = -3*g**4 - 29*g**3 - 243*g**2 - 671*g - 577. Let y(t) = 2*t**4 + t**3 - t**2 - t + 1. Let d(m) = 5*u(m) + 5*y(m). Solve d(a) = 0.
-12, -2
Determine z, given that 14861 + 6167*z + 8*z**4 - 9*z**4 - 1734*z**2 - 98382 - 68*z**3 - 25819*z = 0.
-17
Suppose 15*a - 18 - 12 = 0. Let o be a*(5/(-5))/((-4)/8). Factor 4/3 - 22/3*w**3 - 20/3*w + 11*w**2 + 5/3*w**o.
(w - 2)*(w - 1)**2*(5*w - 2)/3
Suppose -4*w + 5 = 21. Let k be 2/w*6 + 7. Factor p**k + 2*p + 0*p**3 - 1 + 2*p**3 - 4*p**3.
(p - 1)**3*(p + 1)
Let z(t) = -3*t + 27. Let s be z(9). Suppose 0 = -2*v + 3*c + 1, -6*c + 4*c = 4*v - 10. Factor s*o + 1/3*o**v - 1/3.
(o - 1)*(o + 1)/3
Suppose 7*w - 10 = 2*w. Suppose -n = -w*n + 4. Find v, given that -1/6*v + 0 + 1/3*v**n - 1/3*v**2 + 1/6*v**5 + 0*v**3 = 0.
-1, 0, 1
Suppose -11*k - 48 = -15*k. Solve -1 + 3*z + 1 + 0*z**2 + k*z**2 = 0 for z.
-1/4, 0
Let f(p) = 15*p**2 - 110*p - 85. Let x(d) = 22*d**2 - 162*d - 128. Let b(h) = 7*f(h) - 5*x(h). Factor b(n)