- 2/11*l**c - 24/11 = 0. Calculate l.
-1, 3, 4
Let b = 572 - 782. Let d = -839/4 - b. Factor -3/4*q**2 - d + 1/4*q**3 + 3/4*q.
(q - 1)**3/4
Solve -17/2*x**4 + 97/2*x**3 + 1/2*x**5 - 40 + 113*x - 227/2*x**2 = 0 for x.
1, 2, 5, 8
Let g(t) be the third derivative of t**6/360 - 39*t**5/20 - 59*t**4/3 - 710*t**3/9 + t**2 + 206. Factor g(b).
(b - 355)*(b + 2)**2/3
Factor -l**2 - 1476 - l**2 - 201*l + 0*l**2 + 943*l.
-2*(l - 369)*(l - 2)
Solve 2/3*x**4 + 0 + 64/3*x**2 + 2/3*x**5 - 28*x**3 + 448/3*x = 0 for x.
-7, -2, 0, 4
Solve -1/3*r**3 - 434281*r - 286191179/3 - 659*r**2 = 0.
-659
Let u(n) be the third derivative of -n**5/12 + 575*n**4/12 + 11*n**2 - 34*n. Factor u(m).
-5*m*(m - 230)
Let a = -208 - -210. Determine y so that 519 + 170 - 8*y + y**a + 152 - 50*y = 0.
29
Factor -4162*b**2 - 5246*b**2 - 758 + 2642*b - 325 + 3718*b + 24*b.
-3*(56*b - 19)**2
Let v = -35 + 36. Let l(z) = 4*z**3 + z**2 - z + 1. Let r be l(v). Factor -5 + r - 2*o**2 - 7*o + 3*o.
-2*o*(o + 2)
Let q(u) = 83*u**3 - 28*u**2 + 722*u - 1278. Let j(z) = 127*z**3 - 27*z**2 + 723*z - 1277. Let d(o) = 2*j(o) - 3*q(o). Find t, given that d(t) = 0.
-16, 2, 8
Let u = -50357/3 - -16787. Factor -100/3*t + 0 - u*t**5 - 140*t**2 - 481/3*t**3 - 28*t**4.
-t*(t + 10)**2*(2*t + 1)**2/3
Let s = -17833 - -17835. Let a(i) be the second derivative of 0 + 0*i**s - 1/15*i**4 - 26*i + 2/5*i**3. Factor a(n).
-4*n*(n - 3)/5
Let u = 1252 + -3754/3. Let x(l) be the first derivative of -4 + 0*l + u*l**2 - 1/9*l**3. Find i, given that x(i) = 0.
0, 4
Let a(o) be the first derivative of -89 - 16/3*o**2 - 10*o - 2/9*o**3. Determine p so that a(p) = 0.
-15, -1
Let s(a) be the second derivative of -a**5/10 + 155*a**4/6 - 307*a**3/3 + 153*a**2 + 57*a - 6. Factor s(t).
-2*(t - 153)*(t - 1)**2
Let g(m) be the first derivative of m**3 - 3*m**2 - 6*m - 1. Let w(f) = f + 1. Let d = 2773 - 2779. Let o(x) = d*w(x) - g(x). Factor o(i).
-3*i**2
Solve -4/3*m**4 - 484*m**2 + 1444/3*m - 160 + 164*m**3 = 0.
1, 120
Suppose -5*h - 4*j + 9 = 0, -7*h + 3 = -4*h + 3*j. Factor 0*y**4 - 6*y**3 - 17*y**3 + h*y**4 + 18*y**3.
5*y**3*(y - 1)
Let v = -529660 + 529662. Factor 1/5*u**4 + 0 - u**3 + 3/5*u**v + 1/5*u**5 + 0*u.
u**2*(u - 1)**2*(u + 3)/5
Let z = -659 + 702. Factor -148*w + 6*w + 115 - z - 4*w**2.
-2*(w + 36)*(2*w - 1)
Let m = -5 - -9. Suppose 5*p = m*p + i + 13, -26 = -2*p + 4*i. Suppose -25*r + r**2 + 2*r**3 - 5*r**2 + 4 + p*r + 10*r = 0. What is r?
-1, 1, 2
Let w = 148878 - 148851. Factor -1/3*z**3 + 19/3*z**2 + w - 33*z.
-(z - 9)**2*(z - 1)/3
Let d(u) = 70*u + 209. Let p be d(-4). Let i = -71 - p. Factor 1/9*q**3 + i*q + 1/9*q**4 + 0 + 0*q**2.
q**3*(q + 1)/9
Let z be 6/((-1*10)/(-2)). Let b(f) = -f**2 + 273*f + 59488. Let p be b(-143). What is a in z*a + p - 2/5*a**3 + 4/5*a**2 = 0?
-1, 0, 3
Let b(f) = -33*f**2. Let o(i) = -61*i**2 + 660*i + 3175. Let l(c) = -2*b(c) + o(c). Factor l(a).
5*(a + 5)*(a + 127)
Factor 54/7*h**4 + 352/7*h**3 + 608/7 + 976/7*h**2 + 1248/7*h + 2/7*h**5.
2*(h + 2)**4*(h + 19)/7
Suppose -115 = -10*z + 65. Let x be z/135 - (-116)/30. Factor 0*t**3 + t**x - t**2 + 0*t**3.
t**2*(t - 1)*(t + 1)
Solve 0 - 46/13*j**2 + 2/13*j**3 + 84/13*j = 0.
0, 2, 21
Let s(g) be the third derivative of g**8/112 - 3*g**7/35 - 31*g**6/40 + 36*g**5/5 + 81*g**4/2 - 216*g**3 + 5*g**2 + 32. Let s(i) = 0. What is i?
-4, -3, 1, 6
Let y = -182 - -184. Find a such that a**2 + y*a**4 + a**3 - a**5 - 13*a**4 + 10*a**4 = 0.
-1, 0, 1
Suppose 0 = 6*d - 11*d + m + 13, -3*m - 9 = -5*d. Factor 30*h**3 - d*h - 27*h**3 + 0*h**3.
3*h*(h - 1)*(h + 1)
Let b(y) be the second derivative of 1/10*y**5 + 3 + 0*y**2 + 1/16*y**4 + 2*y + 0*y**3. Solve b(i) = 0.
-3/8, 0
Let q(c) = -10*c**3 + 50*c**2 + 10*c + 5. Let z(d) = -5*d**3 + 25*d**2 + 4*d + 2. Let i(y) = 2*q(y) - 5*z(y). Determine v, given that i(v) = 0.
0, 5
Let l(a) be the first derivative of a**4/12 + 44*a**3/3 + 87*a**2/2 + 130*a/3 + 1036. Factor l(f).
(f + 1)**2*(f + 130)/3
Let o be 93*(-92)/24242*17/(-2). Suppose -11/4*n - 10*n**2 + 13/2 - 3/4*n**o = 0. What is n?
-13, -1, 2/3
Let f(m) be the second derivative of -25*m**7/357 - m**6/255 + 75*m**5/34 + 265*m**4/102 - 590*m**3/51 - 24*m**2/17 + m - 297. Solve f(c) = 0.
-3, -2, -1/25, 1, 4
Let p be ((-1 + -8)/(-3)*34/(-204))/(-3). Let a(y) be the first derivative of 0*y - p*y**4 + 5 + 1/9*y**6 + 2/9*y**3 + 0*y**2 - 2/15*y**5. Factor a(n).
2*n**2*(n - 1)**2*(n + 1)/3
Let a(v) = -32*v - 64. Let i be a(-2). Let f(o) be the second derivative of 0 + 0*o**2 + 1/30*o**4 + 1/75*o**6 + 11*o + i*o**3 + 1/25*o**5. Factor f(k).
2*k**2*(k + 1)**2/5
Determine v so that -472*v**4 - 4*v**5 + 52*v**4 - 1760 - 10910*v**2 + 1786 - 16*v**4 + 20196*v - 5858 - 12089*v**3 = 0.
-54, -2, 1/2
Suppose 340/11*h**2 - 14450/11*h + 0 - 2/11*h**3 = 0. Calculate h.
0, 85
Let a(r) be the first derivative of 1/4*r**4 + 0*r + 3*r**3 + 4*r**2 + 46. Determine p, given that a(p) = 0.
-8, -1, 0
Let r = 249 + -244. Let p be (-2)/r*(-5)/4. What is b in 0 + 1/2*b**5 - 3/2*b**2 + 3/2*b**4 - b + p*b**3 = 0?
-2, -1, 0, 1
Let d(s) be the third derivative of -s**8/1848 + 68*s**7/1155 - 7*s**6/4 - 34*s**5/165 + 289*s**4/33 - 1472*s**2. Determine y, given that d(y) = 0.
-1, 0, 1, 34
Let l = 989 - 985. Suppose -3*y - 23 = -l*o, -15*y - 12 = 4*o - 11*y. Determine x, given that 50/7*x**4 + 8/7 - 60/7*x**3 - 22/7*x**o + 24/7*x = 0.
-2/5, 1
Suppose -299 = -m - 296. Determine h so that -5*h**5 + 40 + 36*h**4 + 4*h**4 + 2*h + 190*h**2 - 125*h**m - 125*h - 17*h = 0.
1, 2
Suppose 49*a**4 + 26*a**2 + 20 + 53*a**2 - 80*a - 14*a**4 + 23*a**2 - 5*a**5 + 23*a**2 - 95*a**3 = 0. What is a?
1, 2
Let y(o) be the third derivative of -o**5/15 + 28*o**4/3 + 1024*o**3/3 + 4119*o**2. Factor y(j).
-4*(j - 64)*(j + 8)
Suppose 21*g = 2*g + 38. Suppose 1455 - 1451 = g*s. Let 0 + 16/3*o + s*o**3 - 28/3*o**2 = 0. What is o?
0, 2/3, 4
Let h(f) = -2*f - 5. Let m be h(-6). Suppose -p + 0*p = -2*c + m, 5*p + 5 = 0. What is d in -4 + 0 + 0 - 5 + c*d**2 - 6*d = 0?
-1, 3
Suppose 0 = -28*q + 291 - 67. Factor -1138*n**3 - 30*n**2 - 33*n**4 + 1073*n**3 + q*n**4.
-5*n**2*(n + 2)*(5*n + 3)
Let g(l) be the third derivative of l**8/336 + l**7/21 - l**6/5 + l**5/30 + 23*l**4/24 - 2*l**3 - 19*l**2 - 137*l. Solve g(o) = 0 for o.
-12, -1, 1
Suppose -4 + 11 = 7*n - 14. Let l(b) be the second derivative of 0*b**5 - 2/255*b**6 - 1/357*b**7 + 0 + 1/51*b**4 + 1/51*b**n + 0*b**2 - 11*b. Factor l(w).
-2*w*(w - 1)*(w + 1)**3/17
Factor -81 - 35*k**3 - 1700*k - 57 + 239 + 319 + 815*k**2.
-5*(k - 21)*(k - 2)*(7*k - 2)
Let d(t) = -12*t**2 + 4*t + 12. Let w(j) = -12*j**2 + 4*j + 11. Suppose -30 - 30 = -6*k. Let h be (k/(-15) + 2)*-3. Let l(o) = h*w(o) + 3*d(o). Factor l(p).
4*(p - 1)*(3*p + 2)
Suppose 5*c - 255 = 5*v, 3*c - 3*v - 159 = -2*v. Let n = c + -51. Factor 48*k**3 + n*k**5 + 0*k**4 - 42*k**3 - 9*k**4.
3*k**3*(k - 2)*(k - 1)
Let l(c) be the first derivative of -c**6/540 - c**5/60 - 53*c**3/3 + 24. Let q(h) be the third derivative of l(h). Factor q(w).
-2*w*(w + 3)/3
Let g(i) be the second derivative of i**4/8 + 205*i**3/4 + 136*i - 2. Factor g(p).
3*p*(p + 205)/2
Determine p so that 2/13*p**3 - 154/13*p - 120/13 - 32/13*p**2 = 0.
-3, -1, 20
Let s be (16 + -5 + -16)*(-2)/5. Factor 1410*h**3 + 387*h - 1413*h**3 - 104*h**2 - 85*h**s - 195.
-3*(h - 1)**2*(h + 65)
Let p be 2 - (45 - 45)*2/(-6). Let y(s) be the second derivative of -s + 0*s**p + 1/66*s**4 + 0 - 5/33*s**3. Find u, given that y(u) = 0.
0, 5
Let j(c) be the third derivative of -c**6/720 - c**5/9 - 25*c**4/9 - 960*c**2. Find z, given that j(z) = 0.
-20, 0
Let i(z) be the first derivative of z**4/4 - 61*z**3/3 - 2*z**2 + 244*z - 1687. Let i(u) = 0. Calculate u.
-2, 2, 61
Let a(n) be the first derivative of -12*n**3 + 470*n**2 - 1000*n + 138. Factor a(v).
-4*(v - 25)*(9*v - 10)
Let j be (-1)/((-35)/5) + 14133/196. Let n = j - 72. Factor n*a**2 + 0 + 1/2*a.
a*(a + 2)/4
Let d(g) = -g**2 + 52*g + 350. Let o be d(-6). Let c(u) be the first derivative of 8*u - 17*u**o - 28 - 2*u**4 + 40/3*u**3. Factor c(i).
-2*(i - 4)*(2*i - 1)**2
Let t = -412/33 + 857/66. What is x in 25*x - 625/2 - t*x**2 = 0?
25
Let z = -83402/3 - -27801. Find v such that 0 + z*v**2 + 5/3*v = 0.
-5, 0
Let s(j) be the third derivative of -j**6/30 + 11*j**5/15 - 2*j**4/3 - 40*j**3 + 3*j**2 - 116*j. Factor s(g).
-4*(g - 1