p**4/8 + p**3/12 - 3*p**2/4 + 1. Factor t(z).
-z*(z - 6)*(z - 1)*(z + 1)/4
Suppose -5*h - 3 = 17, 16 = 3*n + 5*h. Let y be 0*1/(-2)*-1. Find m such that -8 + 24*m + 36*m**2 + n + y*m = 0.
-1/3
Factor 0*i**5 - 4*i**3 - 128*i**4 + 13*i**5 + 12*i**3 + 144*i**4 - 16*i**2 - 9*i**5 - 12*i.
4*i*(i - 1)*(i + 1)**2*(i + 3)
Determine l so that -3/2*l - 19/2*l**2 + 9 + 1/2*l**4 + 3/2*l**3 = 0.
-6, -1, 1, 3
Let f(q) be the first derivative of 5/3*q**3 - 39 + 405*q - 45*q**2. Find k, given that f(k) = 0.
9
What is y in 5*y**4 - 72*y**2 - 70*y**3 - 9*y**2 + 6*y**2 = 0?
-1, 0, 15
Suppose 72*w = -100*w + 239 + 277. Determine y, given that 2/15*y**2 + 0*y + 0 + 2/15*y**w = 0.
-1, 0
Let b(w) = w**2 + w - 6. Let f be b(4). Let l = f - 11. Find u, given that -2*u**4 - u**2 + 4*u + u**2 - 4*u**3 + 5*u**2 - l*u**2 = 0.
-2, -1, 0, 1
Suppose -198*a**3 + 256*a - 308*a**2 - 44*a**4 - 3*a**5 + 5*a**5 - a**5 - 80 + 370*a**3 + 3*a**5 = 0. Calculate a.
1, 2, 5
Let v = 1322 + -1320. Let s(k) be the third derivative of -1/300*k**6 - 6*k**v + 1/50*k**5 + 0*k + 1/15*k**3 - 1/20*k**4 + 0. Solve s(a) = 0.
1
Let w(i) be the third derivative of -5/84*i**8 - 8*i**2 + 0 + 1/6*i**6 + 0*i - 4/105*i**7 + 2/15*i**5 + 0*i**3 + 0*i**4. What is t in w(t) = 0?
-1, -2/5, 0, 1
Suppose 5*n + 10 = -5*j, -3*j + 390 = 396. Suppose -3*b - 2*b + 3*o = -9, 5*b + 5*o + 15 = 0. Solve -1/3*l**2 + b*l + n + 1/6*l**3 = 0 for l.
0, 2
Let s = -1053 - -1056. Find l such that -1/5*l + 1/5*l**4 - 1/5*l**5 - 2/5*l**2 + 1/5 + 2/5*l**s = 0.
-1, 1
Suppose 5*q = 4*f - 53, -5*f - q + 16 = -72. Let d = -14 + f. Factor -6*h**3 + 4*h**2 - 8*h**d + 5*h**3 + 3*h**4 + 2*h**2.
3*h**2*(h - 2)*(h - 1)
Let q(k) = 2*k**3 + 10*k**2 + 5*k + 27. Let l be q(-5). Solve 8/9*z + 4/9*z**l + 0 - 4/9*z**3 = 0.
-1, 0, 2
Let z = -25 - -28. Suppose -6*r**3 - 31*r - r**z - 10 - 2*r**4 + 5*r**4 - 2*r - 33*r**2 = 0. What is r?
-1, -2/3, 5
Factor f**2 + f**2 - 2*f - 2*f**2 + 2*f**3.
2*f*(f - 1)*(f + 1)
Suppose 2*z + z**5 + 2*z - 20*z**3 + 15*z - 14 + 4*z**4 + 10*z**2 = 0. What is z?
-7, -1, 1, 2
Let h(p) be the first derivative of p**3/3 + 11*p + 201. Let o(x) = 1. Let c = -8 + 6. Let s(g) = c*h(g) + 22*o(g). Factor s(f).
-2*f**2
Let o(a) = 11*a**3 - 10*a**2 + 9*a + 5. Let r(p) = 6*p**3 - 5*p**2 + 5*p + 3. Let i(n) = 3*o(n) - 5*r(n). Suppose i(j) = 0. Calculate j.
0, 2/3, 1
Let i be 18 + ((-5)/2 + 3)*4. Let g = 0 + 2. Determine r, given that -9*r**5 - 8*r**3 - 28*r**4 + i*r + 2 + g + 24*r**2 - 3*r**5 + 0*r**3 = 0.
-1, -1/3, 1
Let u be (-2)/4*(-4 - (-48)/15). Let q be 6/(-45) - 2/(-6). Solve -u*o + 0 - q*o**2 = 0.
-2, 0
Let v(u) = u**3 - 4*u**2 + 3*u + 2. Let h be v(3). Let a be (3 + -1 - 1) + 5 + -4. Determine d so that 2 + 6*d**h - 14*d**a - 4 - 10*d = 0.
-1, -1/4
Suppose 26*f = -89*f + 19*f. Solve f*n - 4/5*n**3 - 28/5*n**2 + 0 = 0.
-7, 0
Determine x so that 1/9*x**5 - 1/9*x**4 + 5/9*x + 1/3 - 2/9*x**2 - 2/3*x**3 = 0.
-1, 1, 3
Let s(z) be the first derivative of 2*z**3/39 + 12*z**2/13 + 40*z/13 + 167. Factor s(g).
2*(g + 2)*(g + 10)/13
Let q(w) = -4*w**2 + 6*w - 3. Let h(n) = -n**2 + n - 1. Let y(r) = 12*h(r) - 4*q(r). Let y(t) = 0. Calculate t.
0, 3
Let x be ((-30)/(-20))/(6/20). Solve 6*t**2 + 2*t**4 + 9/4*t + 1/4*t**x + 0 + 11/2*t**3 = 0.
-3, -1, 0
Determine i so that -2/5*i**4 + 28/5 - 6*i - 26/5*i**2 + 6*i**3 = 0.
-1, 1, 14
Let s = -412/819 - -66/91. Solve s*o**2 + 4/9 - 2/3*o = 0.
1, 2
Suppose 2*v + 3*v = d + 25, -39 = -4*v - 3*d. Suppose -v*b + 5*b + 2 = 0. Let 0 - 14/13*h**b - 4/13*h = 0. What is h?
-2/7, 0
Let x(u) be the second derivative of u**7/14 - 2*u**6/5 + 3*u**5/20 + 7*u**4/2 - 10*u**3 + 12*u**2 - 14*u + 10. Let x(s) = 0. What is s?
-2, 1, 2
Let x(q) be the third derivative of q**7/5460 - q**6/1170 - q**5/780 + q**4/78 + 2*q**3/3 + 4*q**2. Let n(p) be the first derivative of x(p). Factor n(m).
2*(m - 2)*(m - 1)*(m + 1)/13
Let r(v) = 5*v**2 - 808*v + 31211. Let a(g) = -10*g**2 + 1619*g - 62423. Let x(t) = -6*a(t) - 13*r(t). What is s in x(s) = 0?
79
Let t(s) be the first derivative of s**6/18 - s**5/15 - 7*s**4/12 + 13*s**3/9 - s**2 + 49. Let t(h) = 0. Calculate h.
-3, 0, 1, 2
Suppose 13 - 15 = -2*l, 0 = m - 3*l. Let 1/4*x**m + 1/4*x**4 - 1/4*x**2 + 0 - 1/4*x = 0. What is x?
-1, 0, 1
Let a(k) be the second derivative of 3*k**5/140 - 5*k**4/7 + 11*k**3/2 + 363*k**2/7 - 28*k. Suppose a(d) = 0. Calculate d.
-2, 11
Let h = 11/151 - -71/3171. Suppose 40/21*x + 200/21 + h*x**2 = 0. Calculate x.
-10
Find r such that 23*r**2 + 22*r**2 - 14*r - 5 - 4 - r**4 - 33*r**2 - 2*r**3 + 14 = 0.
-5, 1
Let f(j) = j**3 - 9*j**2 - 6*j - 2. Let b(g) = -2*g**2 - 1 - 1 - 6*g - 6*g**2. Let a(s) = -3*b(s) + 2*f(s). Factor a(v).
2*(v + 1)**3
Let z = 0 - -3. Solve 4*k**2 - 3*k**z - 3*k**2 - k**2 + 3*k**5 = 0 for k.
-1, 0, 1
Let b be (952/21)/(-4)*6/4. Let r be (b/(-68))/((-6)/(-16)). Factor -4*t + 6 + r*t**2.
2*(t - 3)**2/3
Let n(q) = q**2 + 2*q + 2. Let g be n(0). Suppose -2*d + 10 = -2. Suppose -d - 3/2*o**g + 6*o = 0. What is o?
2
Let i(d) be the first derivative of 0*d + 5 - 10/3*d**3 - 5/4*d**4 + 0*d**2. Let i(b) = 0. What is b?
-2, 0
Let w = 4028 - 4023. Solve 2/5*n**4 + 0*n + 0 - 1/5*n**3 + 1/5*n**w - 2/5*n**2 = 0 for n.
-2, -1, 0, 1
Let r(q) be the first derivative of -8*q**5/7 - 123*q**4/14 + 248*q**3/21 + 33*q**2/7 - 4*q + 122. Suppose r(p) = 0. Calculate p.
-7, -2/5, 1/4, 1
Let y(s) be the second derivative of -16/15*s**2 - 8/45*s**3 - 1/90*s**4 + 0 - 5*s. Suppose y(o) = 0. Calculate o.
-4
Let v(i) be the first derivative of 3*i**4/20 + 8*i**3/15 + 2*i**2/5 - 34. Determine c so that v(c) = 0.
-2, -2/3, 0
Let j = -8661 - -8665. Factor 0 + 3/5*h**3 + 3/5*h**j + 0*h**2 + 0*h.
3*h**3*(h + 1)/5
Let a(i) be the first derivative of -i**4 - 1/15*i**5 + 3 + 0*i + 5/2*i**2 - 6*i**3. Let f(r) be the second derivative of a(r). Factor f(j).
-4*(j + 3)**2
Let t(p) = 2*p + 8. Let c be t(-2). Factor -d**3 - 3*d**5 - 3*d**4 + 3*d**2 + 12*d**c - 8*d**3.
-3*d**2*(d - 1)**3
Let u = -82 - -22. Let z = -58 - u. Solve y - 1 - 1/4*y**3 + 1/4*y**z = 0 for y.
-2, 1, 2
Let -1/4*j**3 + 0 - 3/2*j + 5/4*j**2 = 0. What is j?
0, 2, 3
Let v(q) be the first derivative of -q**4/6 - 20*q**3/9 - 3*q**2 - 155. Factor v(y).
-2*y*(y + 1)*(y + 9)/3
Let s(t) be the second derivative of 2/5*t**4 + 0 + 6*t - 4/25*t**6 - 1/21*t**7 + 0*t**2 + 1/50*t**5 + 4/15*t**3. Suppose s(l) = 0. Calculate l.
-2, -1, -2/5, 0, 1
Let a(k) be the second derivative of -2/15*k**5 - 1/15*k**6 + 2/9*k**4 + 0*k**2 + 16*k + 0 + 0*k**3. Factor a(y).
-2*y**2*(y + 2)*(3*y - 2)/3
Let y(o) = -8*o - 5. Let z be y(2). Let b be (1 - 3)/(z/266). Factor 16/3 - 50/3*n**3 + 16/3*n**4 + b*n**2 - 2/3*n**5 - 56/3*n.
-2*(n - 2)**3*(n - 1)**2/3
Let f(b) = b**3 - 11*b**2 + 22*b - 22. Let g be f(9). Factor 22*z**2 - 28*z**3 - 12*z**5 + 5*z**4 - g*z**2 + 27*z**4.
-4*z**2*(z - 1)**2*(3*z - 2)
Let k(p) = -3*p**2 + 23*p + 56. Let i(v) = 3*v**2 - 24*v - 57. Let u(g) = 2*i(g) + 3*k(g). Determine j, given that u(j) = 0.
-2, 9
Let s be (50/(-18) - -1)*(-13)/((-117)/(-18)). Let -10/9*f**4 + 8/9 - s*f + 10/3*f**2 + 4/9*f**3 = 0. What is f?
-2, 2/5, 1
Let i(b) be the first derivative of 3*b**2/2 + 5*b - 46. Let k be i(-1). Factor -7/4*t + 3/4*t**k + 1/2.
(t - 2)*(3*t - 1)/4
Suppose f + 5*l = -16, 16*f = 17*f + l. Find q such that -1222/11*q**f + 24/11 - 202/11*q**2 + 104/11*q - 1224/11*q**3 - 280/11*q**5 = 0.
-3, -1, -2/5, -1/4, 2/7
Suppose -5*j + 6 = 3*k, -2*j + 27 - 6 = -5*k. Let q be (-5 + 6)*(j + (-5 - -2)). Let 2/7*t**3 - 4/7*t**2 + q + 2/7*t = 0. What is t?
0, 1
Let u(l) be the first derivative of -l**6/8 - 9*l**5/20 - 3*l**4/8 + l**3/2 + 9*l**2/8 + 3*l/4 - 38. Factor u(a).
-3*(a - 1)*(a + 1)**4/4
Suppose -2*k + 6*k - 12 = 0. Factor 33*l**k - 15*l**2 + 35*l**3 - 63*l**3 - 5 + 15*l.
5*(l - 1)**3
Let -15*t - 46 + 3*t**2 - 42 - 48 + 94 = 0. What is t?
-2, 7
Let m(j) be the third derivative of j**7/1365 + j**6/60 + 2*j**5/13 + 28*j**4/39 + 64*j**3/39 + 58*j**2. Determine q so that m(q) = 0.
-4, -1
Let c(a) be the first derivative of 1/3*a**3 + 0*a + 19 + 0*a**2 - 1/4*a**4. Factor c(y).
-y**2*(y - 1)
Let w(v) be the second derivative of -v**4/78 + 8*v**3/39 - 12*v**2/13 - 381*v. Suppose w(h) = 0. Calculate h.
2, 6
Let r(c) = -4*c**2 + 7*c - 18. Let t(q) = -2*q**2 + 2*q. Let z(v) = 5*r(v) - 20*t(v). Find l such that z(l) = 0.
-2, 9/4
