r s(n).
4*(n + 1)*(n + 2)*(n + 3)/7
Let x(o) = 5*o**4 + 8*o**3 + 4*o**2 - 4. Let y(q) = 53 + q**3 - 23 + q**4 - 16 - 15 + 0*q**4. Let c(h) = -x(h) + 4*y(h). Factor c(g).
-g**2*(g + 2)**2
Let x(n) = -715*n + 85087. Let c be x(119). Find k such that 5/4*k + 5*k**c - 15/2 + 5/4*k**3 = 0.
-3, -2, 1
Let d(s) = -4316*s + 8632. Let o be d(2). Let -2/23*w**2 + 48/23*w**5 + 52/23*w**4 + o*w + 2/23*w**3 + 0 = 0. What is w?
-1, -1/4, 0, 1/6
Let t(q) be the first derivative of -2*q**5/5 + 9*q**4/2 + 42*q**3 - 149*q**2 + 156*q - 1503. Solve t(g) = 0.
-6, 1, 13
Suppose -5 = g, -5*p - 4*g = -7 + 10 - 3. Find n, given that 0 + 0*n**2 + 26/11*n**3 + 1/11*n**p + 0*n = 0.
-26, 0
Let c(j) be the second derivative of j**5/5 + 38*j**4/3 + 952*j**3/3 + 3920*j**2 - 8*j + 48. Factor c(l).
4*(l + 10)*(l + 14)**2
Let 386/5*y - 6/5*y**2 + 52 = 0. What is y?
-2/3, 65
Let c = -285 - -481. Let u be (-662)/(-8) - 16/((-176)/33). Find y such that -42*y**2 - u*y**4 + c*y**3 + 4 - 16*y = 0.
-2/7, 2/7, 2
Let c = 4407/13220 + -1/39660. Let c*g**2 + 100/3 - 20/3*g = 0. Calculate g.
10
Let b(q) be the first derivative of -1/135*q**5 + 12 - 4/3*q**3 - 7/3240*q**6 + 0*q**4 + 0*q**2 + 0*q. Let m(h) be the third derivative of b(h). Factor m(j).
-j*(7*j + 8)/9
Let k(z) be the second derivative of 1/40*z**5 - z + 0*z**3 + 11/120*z**6 + 0*z**2 + 1/14*z**7 + 0*z**4 + 132. Factor k(s).
s**3*(3*s + 2)*(4*s + 1)/4
Let k(p) be the second derivative of 2*p**7/7 + 14*p**6/15 + 3*p**5/5 - p**4 - 4*p**3/3 + 2*p - 1158. Solve k(j) = 0 for j.
-1, 0, 2/3
Let r be ((-162980)/8)/29*8/(-10). Suppose -8*x + 578 - r = 0. Determine g so that -2/9*g**x - 44/9*g - 242/9 = 0.
-11
Let s = -14666/111 - -4938/37. Solve 28/9 + s*a - 1/9*a**2 = 0.
-2, 14
Let -80*h + 13*h**3 - 9*h**3 - 9*h**4 - 5*h**5 + 18*h**4 + 480 - 240*h**2 + 21*h**4 + 36*h**3 = 0. Calculate h.
-2, 2, 6
Let f(d) be the first derivative of 0*d + 31/3*d**3 - 134 + 9/5*d**5 + 1/6*d**6 + 6*d**2 + 27/4*d**4. Factor f(a).
a*(a + 1)**2*(a + 3)*(a + 4)
Let i = 25334 + -25334. Let o(j) be the third derivative of 1/48*j**4 + 0 - 1/240*j**6 - 1/24*j**3 + 0*j**5 + i*j - 10*j**2 + 1/840*j**7. Factor o(h).
(h - 1)**3*(h + 1)/4
Let w(r) be the second derivative of -r**6/30 - 3*r**5/5 - 11*r**4/6 + 14*r**3 - 49*r**2/2 + 17*r - 9. Factor w(k).
-(k - 1)**2*(k + 7)**2
Let k(f) be the third derivative of f**4/24 + f**3/6 + 2*f**2 + 9. Let u(l) = -4*l**2 + 44*l - 16. Let h(q) = 12*k(q) - u(q). What is i in h(i) = 0?
1, 7
Let a(m) be the first derivative of 3 - 50 + 57*m**2 - 32*m + 96*m**3 - 14*m**5 - 41*m**2 - 2*m**4. Suppose a(s) = 0. What is s?
-2, -2/5, 2/7, 2
Factor -112/3*u**2 + 0 + 4/3*u**3 + 176*u.
4*u*(u - 22)*(u - 6)/3
Let v(a) be the first derivative of -4*a**5/5 + 6*a**4 + 4*a**3/3 - 12*a**2 + 1698. Determine z so that v(z) = 0.
-1, 0, 1, 6
Let m(u) = u**2 + 4*u - 10. Let l be m(-6). Factor -4 + 21 - 7*y - 3 - 10 - l*y**2.
-(y + 4)*(2*y - 1)
Let v(o) be the first derivative of o**6/16 + 9*o**5/40 - 45*o**4/32 + 17*o**3/8 - 9*o**2/8 + 1425. Factor v(q).
3*q*(q - 1)**3*(q + 6)/8
Let a(c) be the first derivative of -c**8/1120 + c**7/280 + c**6/80 + 16*c**3/3 - c**2 - 2. Let x(t) be the third derivative of a(t). Let x(w) = 0. What is w?
-1, 0, 3
Let p(k) = -13*k + 32. Let a(z) = -32*z + 80. Let s(t) = -5*a(t) + 12*p(t). Let i be s(6). Factor -y**5 + 3*y**5 - 2*y + 4*y**2 - i*y**2 + 0*y**5 + 4*y**4.
2*y*(y - 1)*(y + 1)**3
Let d(m) be the first derivative of -5*m**3/3 + 135*m**2/2 + 140*m - 28. Find u, given that d(u) = 0.
-1, 28
Suppose 26*d - 59 = 19. Let n(q) be the third derivative of 1/70*q**7 - 1/8*q**4 + 0 + 0*q**d + 3/20*q**5 + 0*q + 23*q**2 - 3/40*q**6. Solve n(i) = 0.
0, 1
Let z(k) be the third derivative of -k**6/30 - 526*k**5/3 + 8*k**2 + 25*k + 1. Determine p so that z(p) = 0.
-2630, 0
Let p(g) = -124*g**3 + g + 1. Let n be p(-1). Let h = -118 + n. Determine i, given that 0 + i**4 + 0 - 5*i**5 + h*i**3 + 4*i**5 = 0.
-2, 0, 3
Let f(d) be the third derivative of -d**7/105 - d**6/80 + 47*d**5/240 - d**4/4 - 3*d**3/8 - d**2 - 4*d - 343. Determine g so that f(g) = 0.
-3, -1/4, 1, 3/2
Suppose 0 = n + w - 7, -5*n + 47 = 4*w + 15. Let b(c) be the second derivative of 1/3*c**4 - 6*c + 2*c**3 + 0 + n*c**2. Factor b(a).
4*(a + 1)*(a + 2)
Factor 39/2*j + 140 + 1/4*j**2.
(j + 8)*(j + 70)/4
Let f(d) = -d**3 - 6*d**2 + 17*d + 8. Let y be f(-8). Suppose -g - 2 + 4 = y. Factor -g*o**2 + 8*o - 1036 + 0*o**2 + 1030.
-2*(o - 3)*(o - 1)
Let d be ((-105)/(-30))/((-7)/(-4)). Factor -28 + 15041*m**2 + 4 - d*m - 15039*m**2.
2*(m - 4)*(m + 3)
Let g = -263 + 266. Suppose -5*x = -5*b + b + g, 4*b - 5 = 3*x. Find f such that -9/4*f**5 + 15/4*f**3 - 15/4*f**4 + 0 - 3/2*f + 15/4*f**b = 0.
-2, -1, 0, 1/3, 1
Let p(d) be the first derivative of -d**6/66 - 4*d**5/55 + 21*d**4/44 + 104*d**3/33 + 40*d**2/11 - 991. Suppose p(k) = 0. What is k?
-4, -1, 0, 5
Suppose 1730*m**2 + 4*m**3 + 433/4 - 3463/4*m = 0. What is m?
-433, 1/4
Let t be -11*6/6 + 148. Suppose -t*d = -131*d - 12. What is b in -21/5*b**d + 24/5*b + 3/5*b**3 + 48/5 = 0?
-1, 4
Factor -2*c - 13 + 31 + 9*c**2 + 3 - 22*c - c**3 - 1.
-(c - 5)*(c - 2)**2
Suppose l - 35 = 4*n, 5*l - 199*n + 198*n - 23 = 0. Solve -2/11*b**l + 8/11 + 14/11*b + 4/11*b**2 = 0 for b.
-1, 4
Solve 312*h**2 + 8 - 169/2*h**3 + 102*h = 0 for h.
-2/13, 4
Let u(f) = 3*f - 19. Let d be u(8). Let j(t) = 2*t**2 - 9*t - 2. Let b be j(d). Factor -6 + 3*h - 5*h - b*h**3 + 11*h.
-3*(h - 1)**2*(h + 2)
Let f(o) be the second derivative of 17 - 54*o**2 + 1/60*o**5 + 35/36*o**4 - 4*o + 16*o**3. Determine u, given that f(u) = 0.
-18, 1
Let a(h) be the second derivative of 1/36*h**6 + 46 - 3*h + 1/12*h**5 + 0*h**2 + 0*h**3 + 5/72*h**4. Determine u so that a(u) = 0.
-1, 0
Solve 931*k - 3*k**2 - 654*k + 120960 + 1397*k + 0*k**2 - 354483 = 0.
279
Suppose -51 = -12*i + 9. Let b be 7 + (-12 - i) - -13. Determine m, given that -1/3*m**4 + 4/3*m**b + 0 - 5/3*m**2 + 2/3*m = 0.
0, 1, 2
Let m(q) be the third derivative of 4/45*q**3 + 1/900*q**6 + 19*q**2 + 0 + 0*q + 2/45*q**4 + 1/90*q**5. Factor m(b).
2*(b + 1)*(b + 2)**2/15
Let g be 18 + 3 + (-6)/(-2). Suppose w + 5*y = 73, y - 533 = -7*w + 2*w. What is t in 4/3*t**2 + g*t + w = 0?
-9
Let s(n) be the third derivative of -25*n**8/336 + 8*n**7/21 + 27*n**6/4 - 46*n**5/3 - 785*n**4/24 + 140*n**3 + 246*n**2 - 6. Suppose s(k) = 0. Calculate k.
-24/5, -1, 1, 7
Let h(i) be the first derivative of -5/2*i**2 + 11/2*i + 55 - 1/6*i**3. Factor h(o).
-(o - 1)*(o + 11)/2
Let t = -1/17947 - 47505705/71788. Let n = t - -662. Determine d so that 3/4*d - 1/2 - n*d**2 = 0.
1, 2
Suppose 3*y = n + 159, 2*n = -2*y + 68 + 30. Factor 4 - 6*v**3 + 23*v + 35*v - y*v - 4*v**2.
-2*(v - 1)*(v + 1)*(3*v + 2)
Let c(w) be the first derivative of 257 - 9/4*w**2 + 0*w + 1/6*w**3. Factor c(u).
u*(u - 9)/2
Suppose 3*v + l - 16 = 0, 48*l - 49*l - 26 = -4*v. Solve 9*j**4 + 2*j**5 + 46*j**2 - 55*j**2 + 5 + 3*j**3 - v*j + j**5 - 5 = 0 for j.
-2, -1, 0, 1
Suppose -27 = -v + 3*j, 6 = 4*v + 2*j - 144. Suppose -q + 36 = 2*q. Let 4*w**3 - q*w**2 - 1 - v*w + 8 - 27 = 0. Calculate w.
-1, 5
Let z(r) be the second derivative of -2/3*r**4 + 6/5*r**6 - 149*r + 10*r**3 - 14*r**2 + 0 - 2/21*r**7 - 14/5*r**5. Factor z(u).
-4*(u - 7)*(u - 1)**3*(u + 1)
Factor 77/2*d - 38 - 1/2*d**2.
-(d - 76)*(d - 1)/2
Suppose 2*r = -2*b + 6, 4*b - 6 + 21 = 5*r. Factor 8*t**5 + 4*t**r + 4843*t**4 + 0*t**5 - 4855*t**4.
4*t**3*(t - 1)*(2*t - 1)
Factor 14/3*d**2 + 42 - 281/6*d + 1/6*d**3.
(d - 7)*(d - 1)*(d + 36)/6
Suppose -3*x = 10*f + 81, -278*f + 274*f - 30 = 2*x. Let 13/4*j**2 - 9/4*j**4 - 1 - x*j + 19/4*j**3 - 7/4*j**5 = 0. What is j?
-2, -1, -2/7, 1
Let n(d) be the second derivative of -d**7/147 + 2*d**6/21 + 3*d**5/70 - 2*d**4/3 - 20*d**3/21 - 5109*d. Suppose n(r) = 0. Calculate r.
-1, 0, 2, 10
Suppose 43/5*s + 53/5*s**3 - 6 + 123/5*s**2 + 3/5*s**4 = 0. What is s?
-15, -2, -1, 1/3
Suppose -14*r + 70 = -4*r. Let 89*n + 18*n**3 - r*n**2 + 84*n - 5*n**4 - 179*n = 0. What is n?
-2/5, 0, 1, 3
Suppose -3874*u**2 - 63/2*u**4 - 1/4*u**5 - 18849/4*u - 3721/2 - 2107/2*u**3 = 0. What is u?
-61, -2, -1
Factor -342 + 7/2*l**2 - 1196*l.
(l - 342)*(7*l + 2)/2
Let x be 39780/2040 + (-16 - -1). Solve 9/2*c**4 - x - 8*c**2 - 3*c**3 + 12*c - c**5 = 0.
-3/2, 1, 3
Let l(a) = 209*a**4 - 1154*a**3 + 223*a**2 + 4