 o(0). Suppose -2 = 5*n - x. Factor 14*u**n - 9*u**5 + 14*u**3 - 4*u**2 - 16*u**4 + u**5.
2*u**2*(u - 1)**2*(3*u - 2)
Let s(l) be the first derivative of 4/9*l**3 + 0*l**4 + 0*l - 4/15*l**5 + 9 - 1/9*l**6 + 1/3*l**2. Suppose s(b) = 0. What is b?
-1, 0, 1
Let b(x) = 5*x**2 + 931*x + 947. Let l(v) = -v**2 - 311*v - 316. Let s(y) = -2*b(y) - 7*l(y). Factor s(k).
-3*(k - 106)*(k + 1)
Let g(j) be the third derivative of -j**8/2688 - j**7/840 + j**6/960 + j**5/240 - 119*j**2. Solve g(y) = 0 for y.
-2, -1, 0, 1
Suppose 2*w - 8 = 2*n + 2*n, 3*n = -4*w - 17. Let i be (w + (-24)/(-4))/1. Suppose 11*k**3 + k**2 + 11*k**2 + i*k**2 - 5*k**3 + 14*k + 4 = 0. Calculate k.
-1, -2/3
Let f(g) = -3*g**3 - 11*g**2 + 28*g + 14. Let z be f(2). Let 18/7 - 9/7*u**z - 3*u = 0. What is u?
-3, 2/3
Let d = 21236 - 21233. Factor 0*z**d + 4/7*z + 0 + 6/7*z**2 - 2/7*z**4.
-2*z*(z - 2)*(z + 1)**2/7
Let a be (-3 + 2)/(2 - 1) + 3. Suppose 5 = a*d + m, -2*d + d = -m - 1. Factor -2/5*s**d - 2/5*s**3 + 2/5*s + 2/5.
-2*(s - 1)*(s + 1)**2/5
Determine n so that 35*n**4 + 24*n**4 - 5*n**5 + n**3 - 145*n**2 + 131*n - 41*n - 14*n**4 + 14*n**3 = 0.
-2, 0, 1, 9
Let o be -2 + 39/15 - (-873)/3395. Let 2/7*y**3 - o - 2/7*y**2 - 10/7*y = 0. What is y?
-1, 3
Let m(l) = 6*l**4 - 32*l**3 + 176*l**2 - 384*l + 292. Let j(s) = 11*s**4 - 64*s**3 + 352*s**2 - 768*s + 583. Let b(t) = 4*j(t) - 7*m(t). Solve b(h) = 0.
2, 6
Let l(b) be the third derivative of b**7/210 + b**6/40 - 48*b**2. Solve l(j) = 0 for j.
-3, 0
Let n = 394 + -13001/33. Let u(d) be the first derivative of 0*d + 1/22*d**4 + 0*d**5 + 2 + 0*d**3 + 0*d**2 - n*d**6. Factor u(k).
-2*k**3*(k - 1)*(k + 1)/11
Let o(m) be the third derivative of m**7/336 - m**6/360 - m**5/48 + m**4/24 - 23*m**3/6 - 23*m**2. Let g(h) be the first derivative of o(h). Factor g(k).
(k - 1)*(k + 1)*(5*k - 2)/2
Let d = 1211 + -1208. Let y(z) be the first derivative of 2/39*z**d - 6/13*z + 2/13*z**2 + 9. Factor y(v).
2*(v - 1)*(v + 3)/13
Let r(z) = -2*z**2 + 12. Let i be r(3). Let b be -3 - ((-2)/i)/(5/(-55)). Find a, given that 2/3*a**4 + 4/3 - 2*a**2 + b*a - 2/3*a**3 = 0.
-1, 1, 2
Determine z so that 16*z + 4 - 25 + 19*z - 19 + 5*z**2 = 0.
-8, 1
Solve -2/9*l**3 + 4/3*l**2 - 8/3*l + 16/9 = 0 for l.
2
Let o(q) be the second derivative of -q**6/1260 - q**5/140 + 2*q**3 - 22*q. Let h(t) be the second derivative of o(t). Determine y so that h(y) = 0.
-3, 0
Let p = 2848 + -2845. Factor 0 + i**p - 1/3*i**5 + 0*i + 0*i**4 + 2/3*i**2.
-i**2*(i - 2)*(i + 1)**2/3
Let s be (-9)/(45/20) + 8. Let -16*f**2 - 180*f**s + 100*f**5 + 297 - 297 + 96*f**3 = 0. Calculate f.
0, 2/5, 1
Find i such that 4/5*i - 14/15*i**2 + 2/15*i**3 + 0 = 0.
0, 1, 6
Let m(a) be the first derivative of -4*a**3 - 4*a**2 + 32*a + 156. Factor m(x).
-4*(x + 2)*(3*x - 4)
Suppose 14*z - 9*z - 20 = 0. Let y(h) = h**3 - 5*h**2 + 5*h - 2. Let u be y(4). Let 0*k**4 + 7*k**z - k**u - 2*k**3 + 2*k - 6*k**4 = 0. Calculate k.
-1, 0, 1, 2
Let m(y) be the first derivative of y**5/180 + y**4/36 - y**3/6 - 2*y**2 - 12. Let s(a) be the second derivative of m(a). Factor s(g).
(g - 1)*(g + 3)/3
Let b(i) be the third derivative of 1/16*i**4 + 0*i + 1/2*i**3 + 0 - 1/20*i**5 - 1/80*i**6 + 29*i**2. Determine q so that b(q) = 0.
-2, -1, 1
Let n = -38/9 + 40/9. Let h(b) = -3*b - 31. Let w be h(-11). Factor 0 + 2/9*v**w + n*v.
2*v*(v + 1)/9
Let t be (-2 + 3)/(3/9). Solve -r**t + 6*r + 2*r**4 - 5*r**3 - 6 + 2*r**2 + 2 = 0.
-1, 1, 2
Let f(z) be the first derivative of z**5/15 + 25*z**4/12 + 88*z**3/9 + 14*z**2 + 524. Find v such that f(v) = 0.
-21, -2, 0
Let c(j) = j**3 - 16*j**2 - 19*j + 37. Let o be c(17). Let t = 6 - o. Factor 45/4*a**4 - 3*a**3 - t*a**2 + 0*a + 0.
3*a**2*(3*a - 2)*(5*a + 2)/4
Let r(g) be the third derivative of -g**6/120 + 73*g**5/30 - 5329*g**4/24 + 2*g**2 + 7. Solve r(l) = 0.
0, 73
Let f(z) be the third derivative of z**7/1785 + z**6/340 + z**5/510 - z**4/68 - 2*z**3/51 + 50*z**2 - z. What is m in f(m) = 0?
-2, -1, 1
Let p(g) be the third derivative of -1/60*g**5 - 3/2*g**3 + 1/4*g**4 + 0*g + 0 + 11*g**2. Let p(k) = 0. Calculate k.
3
Solve 568*c + 2 - 40 - 98 - 148*c**2 - 50*c**4 - 8 - 910*c**3 = 0.
-18, -1, 2/5
Let d be (-600)/(-9000) + (-316)/(-210). Determine t so that -24/7 - 38/7*t**2 - 1/7*t**4 + d*t**3 + 52/7*t = 0.
1, 2, 6
Let n be (5*(-4)/8)/((-3)/6). Suppose 0*s = 2*s + 2*h - 6, -4*s + n = -3*h. What is g in 3*g + 3/2*g**s - 9/2 = 0?
-3, 1
Solve -17*n**4 + 16*n**2 - 2 - 21*n**2 + 15*n**4 + 9*n**2 = 0 for n.
-1, 1
Let w = 101 + -100. Suppose 2 = 2*s - j, -j - w = -3*s + 4. Suppose 0 + 4/7*t**2 - 2/7*t - 2/7*t**s = 0. What is t?
0, 1
Find h, given that -40*h**4 + 5*h**5 - 95*h**2 - 45*h**2 + 115*h**3 - h**5 + 60*h + h**5 + 0*h**5 = 0.
0, 1, 2, 3
Let p(w) be the first derivative of 4*w**6/9 + 8*w**5/3 + 25*w**4/6 - 20*w**3/9 - 20*w**2/3 + 16*w/3 + 97. Find m such that p(m) = 0.
-2, 1/2
Let k(s) be the third derivative of -s**7/280 - s**6/120 + s**5/40 + s**4/8 + 7*s**3/2 - 6*s**2. Let h(p) be the first derivative of k(p). Factor h(x).
-3*(x - 1)*(x + 1)**2
Let o(k) be the second derivative of -k**7/147 + k**6/15 - 3*k**5/70 - 59*k**4/42 + 104*k**3/21 - 48*k**2/7 + 86*k. Solve o(a) = 0 for a.
-3, 1, 4
Let w(j) = -j**3 - 3*j**2 + 10*j + 5. Let n be w(-5). Factor 5*h**2 + 10*h + 0*h**2 + n*h.
5*h*(h + 3)
Let m = -107 - -103. Let y(q) = q**3 + 7*q**2 + q - 5. Let n(l) = 2*l**3 + 6*l**2 - 4. Let s(h) = m*y(h) + 5*n(h). Solve s(o) = 0.
-1, 0, 2/3
Let a be -8*-3*6/36. Let i(x) be the second derivative of 0 + 0*x**2 + 0*x**5 + 1/30*x**a - 4*x - 1/75*x**6 + 0*x**3. Determine v so that i(v) = 0.
-1, 0, 1
Factor 0 - 3/2*i**3 - 723/2*i**2 - 360*i.
-3*i*(i + 1)*(i + 240)/2
Let i(g) be the third derivative of g**8/1848 - g**7/385 + g**6/330 + g**2 - 4. What is b in i(b) = 0?
0, 1, 2
Let f(k) be the first derivative of -k**4/2 + 34*k**3/3 - 42*k**2 + 53. Suppose f(b) = 0. Calculate b.
0, 3, 14
Let f(a) be the second derivative of a**6/90 - 7*a**5/15 + 61*a**4/9 - 112*a**3/3 + 96*a**2 - 551*a. Factor f(p).
(p - 12)**2*(p - 2)**2/3
Suppose 110*s + 31*s - 468 = 24*s. Factor 2/3*z**s + 2/3*z**5 - 4/3*z + 0 - 10/3*z**2 - 2*z**3.
2*z*(z - 2)*(z + 1)**3/3
Let r(v) be the third derivative of v**7/420 - v**6/48 - 7*v**5/40 - 23*v**4/48 - 2*v**3/3 - 662*v**2 - 2*v. Let r(h) = 0. What is h?
-1, 8
Let g = 27 - 22. Factor 7*q**2 + 0*q**2 - 2*q**3 + 2*q**g - 7*q**2.
2*q**3*(q - 1)*(q + 1)
Suppose -10*q - 24 = -13*q - 5*v, 5*q + 3*v = 24. Let p(t) be the second derivative of 0 + 4*t**2 - 9*t - 1/6*t**4 + t**q. Factor p(a).
-2*(a - 4)*(a + 1)
Suppose 64*s - 60 = 66*s. Let z be 96/(-15)*s/11. Factor -512/11 - z*d**2 - 2/11*d**4 - 32/11*d**3 - 512/11*d.
-2*(d + 4)**4/11
Find o such that -4/5*o**5 + 16/5*o**2 - 16/5*o**4 + 0*o + 4/5*o**3 + 0 = 0.
-4, -1, 0, 1
Let c(x) be the second derivative of -1/5*x**3 + 9/50*x**6 + 12/25*x**5 - x + 1/4*x**4 + 0 + 0*x**2. Factor c(j).
3*j*(j + 1)**2*(9*j - 2)/5
Let x = -41 + 47. Let a(w) = -2*w**4 - w**3 - 3*w**2 + w + 5. Let c(j) = j**4 + j**3 + 3*j**2 - j - 4. Let l(z) = x*c(z) + 4*a(z). Factor l(m).
-2*(m - 2)*(m - 1)*(m + 1)**2
Let n(o) be the second derivative of -o**5/50 + 17*o**4/30 - 56*o**3/15 + 52*o**2/5 + 2*o + 8. Solve n(f) = 0.
2, 13
Let n be (4 - 5)*(4 - (16 - -3)). Suppose n*h - 15 = 15. Factor 3/4*u**3 + 9/4*u**h + 0*u + 0.
3*u**2*(u + 3)/4
Let 17*d - 289/2 - 1/2*d**2 = 0. What is d?
17
Let o = -54/37 + 2737/1850. Let q(l) be the third derivative of o*l**5 - 1/300*l**6 + 0 + 0*l**3 + 0*l + 3*l**2 + 0*l**4. Find i such that q(i) = 0.
0, 3
Let v(j) = -5*j + 5. Let z(x) = -x**2 + 4*x - 4. Let i be (13 + -18)*(-1 + 2). Let o(a) = i*z(a) - 4*v(a). Suppose o(b) = 0. What is b?
0
Let b(u) be the third derivative of u**5/100 - 3*u**4/8 + 13*u**3/5 + 25*u**2 + 3. Find q, given that b(q) = 0.
2, 13
Let c(p) = -p**3 + 6*p**2 - 6*p. Let b be c(4). Let r be (56/b + -5)*2/22. Factor -2/11*z**3 + 0 + r*z**2 + 2/11*z**5 - 2/11*z**4 + 0*z.
2*z**2*(z - 1)**2*(z + 1)/11
Let l(j) be the second derivative of 5*j**4/12 - 25*j**3 + 1125*j**2/2 + 33*j. Factor l(d).
5*(d - 15)**2
Factor 0 + 3/4*n**3 + 0*n + 135/4*n**2.
3*n**2*(n + 45)/4
Let g(p) be the first derivative of -p**5/10 - p**4/2 + 19*p**3/6 - 7*p**2/2 - 34. Factor g(t).
-t*(t - 2)*(t - 1)*(t + 7)/2
Let z(s) be the first derivative of 29 + 2/3*s**