7*n**2 - 5*n**2 + c*n + 40*n = 0.
-11
Determine l, given that -4/5 - 13*l**4 + 8*l - 172/5*l**3 - 63/5*l**2 = 0.
-2, -1, 2/13, 1/5
Suppose 35*v - 37*v = 2*a - 16, 2*v = -5*a + 34. Let d(m) be the first derivative of 8/11*m + 0*m**v + 1/22*m**4 + 19 - 2/11*m**3. Factor d(y).
2*(y - 2)**2*(y + 1)/11
Let n(l) be the first derivative of 3*l**5/35 + 9*l**4/14 + 11*l**3/7 + 9*l**2/7 + 1324. Factor n(u).
3*u*(u + 1)*(u + 2)*(u + 3)/7
Let b(p) be the first derivative of -14/33*p**3 + 10/11*p**2 + 1/22*p**4 + 0*p - 17. Suppose b(v) = 0. What is v?
0, 2, 5
Let g(c) = 2*c + 32. Let z be g(-16). Suppose -8*n = -3*n - 3*j + 8, 30 = 5*j. Solve 2/3 + 1/6*s**4 + 0*s**3 + z*s - 5/6*s**n = 0.
-2, -1, 1, 2
Let w(g) be the second derivative of -34271/18*g**4 + 529/6*g**5 + 0 + 1/126*g**7 - 79507/6*g**2 - 127/90*g**6 - 131*g - 153467/18*g**3. Factor w(k).
(k - 43)**3*(k + 1)**2/3
Let s be 4/(-1 - (-24)/6). Let p = -4 + 20/3. Factor 4/3*i + s*i**3 + p*i**2 + 0.
4*i*(i + 1)**2/3
Let c(z) be the third derivative of -1/27*z**4 - 3 - 11*z**2 + 0*z - 4/27*z**3 + 1/270*z**5 + 1/540*z**6. Find v, given that c(v) = 0.
-2, -1, 2
Factor -4085542*p**3 + 2 - 214358881*p**4 + 24 - 2704020*p**3 - 3872*p - 42 - 7382926*p**3 - 351384*p**2.
-(121*p + 2)**4
Let o be 1/2 + -2 + (-594)/(-27). Let l = -81/4 + o. Determine k, given that 1 + l*k**2 + k = 0.
-2
Let w(x) be the first derivative of 1444/5*x + 182 + 38/5*x**2 + 1/15*x**3. Factor w(g).
(g + 38)**2/5
Suppose -3*x + 270 = -12*x. Let d be ((-30)/9)/(-5) + 17/x. Factor -1/10 + 7/5*c**2 + 13/5*c**3 + 1/2*c**5 + d*c + 19/10*c**4.
(c + 1)**4*(5*c - 1)/10
Let f(b) be the second derivative of b**4/8 + 15*b**3/4 + 75*b**2/2 + 503*b. Factor f(a).
3*(a + 5)*(a + 10)/2
Let d(z) = 29*z**2 + 8*z + 19. Let i(l) = -4*l**2 + l + 1. Let a(m) = -4*d(m) - 28*i(m). Determine x so that a(x) = 0.
-13, -2
Let j(f) be the third derivative of -48*f**2 + 1/60*f**7 + 0 + 0*f + 1/72*f**4 - 1/40*f**5 + 1/224*f**8 + 0*f**3 + 1/720*f**6. Suppose j(b) = 0. What is b?
-2, -1, 0, 1/3
Let p(f) be the third derivative of 0*f + 44*f**2 + 1/36*f**4 + 1/60*f**5 + 0*f**3 + 1/360*f**6 + 1. What is z in p(z) = 0?
-2, -1, 0
Solve 59*x**3 + 13/3 + 61*x - 389/3*x**2 + 16/3*x**4 = 0.
-13, -1/16, 1
Let q(x) = 5*x - 10. Let r be q(3). Suppose 4*p - 13 = 2*u + 33, -4*u + 38 = r*p. Find o such that -p*o**3 + 13 - 58*o - 1 - 4*o**3 - o**2 + 61*o**2 = 0.
2/7, 1, 3
Let h(s) = -s + 39. Let i be h(-6). Let p be (i/(-10) + 3)*-8. Find d such that 39*d**3 - 47*d**3 + p + 36*d + 3*d**4 + 39*d**2 + 26*d**3 = 0.
-2, -1
Let b(h) be the first derivative of -h**4/18 + 2*h**3/3 - 8*h**2/3 + 130*h + 50. Let x(q) be the first derivative of b(q). Factor x(y).
-2*(y - 4)*(y - 2)/3
Suppose 13*t + 5*t = 0. Suppose -2*u - 6 + 12 = t. Solve -8/7 + 4/7*y**u + 8/7*y**2 - 4/7*y = 0.
-2, -1, 1
Let p = 46195 + -46193. Let h(f) be the third derivative of 0*f - 1/30*f**5 + 39*f**2 + 0 - p*f**3 - 5/12*f**4. Factor h(k).
-2*(k + 2)*(k + 3)
Let n(u) be the third derivative of u**6/40 - u**5 - 73*u**4/8 + 46*u**3 + u**2 - 13*u - 66. Factor n(t).
3*(t - 23)*(t - 1)*(t + 4)
Let z = 150220 - 747587/5. Let j = z + -699. Factor -6/5*o**2 - j - 24/5*o.
-6*(o + 1)*(o + 3)/5
Let l be (10 + 1)*(-29)/((-2871)/27). Let y(b) be the first derivative of -b**2 + 24 + 1/3*b**l - 3*b. Factor y(d).
(d - 3)*(d + 1)
Let l be -207*(-17)/102 + -33. Determine u so that 2 - 3/4*u**2 - 1/4*u**3 + l*u = 0.
-4, -1, 2
Suppose 0 = 4*o + 70 - 78. Let x(u) be the first derivative of -16*u**3 - 60*u**o - 47 - 36*u**2 - 442*u + 186*u - u**4 + 6. Factor x(j).
-4*(j + 4)**3
Suppose -133/2 - 3/4*j**3 - 275/4*j**2 - 537/4*j + 1/4*j**4 = 0. Calculate j.
-14, -1, 19
Determine l so that -17*l**4 - 45*l**4 + 616*l - 1568 - 9*l**4 + 226*l**3 + 2484*l**2 + 2*l**5 + l**5 = 0.
-4, -1, 2/3, 14
Let k = -811829/136 - -101502/17. Determine w, given that -k - 7/8*w**4 - 43/8*w - 31/4*w**2 + 1/8*w**5 - 19/4*w**3 = 0.
-1, 11
Let j(n) be the third derivative of -n**6/480 + n**5/8 + 17*n**4/12 - 41*n**2 - 3. Factor j(c).
-c*(c - 34)*(c + 4)/4
Let t = -307 - -1541/5. Suppose 5*o - k = -223 + 222, 0 = -3*k + 3. Factor -4/5 + o*i**2 + 2/5*i**3 - t*i.
2*(i - 2)*(i + 1)**2/5
Suppose 2369 + 3*w**3 - 1544*w - 486 - 1081*w + 2*w**3 + 4992 + 225*w**2 = 0. Calculate w.
-55, 5
Let d be (((-112)/(-2))/4)/(1/(-2)). Let k be d/7 + (-9)/(-1). Factor -5*w - 902 + 902 - 5*w**2 + k*w**3 + 5*w**4.
5*w*(w - 1)*(w + 1)**2
Let y(s) be the third derivative of -s**7/210 - s**4/24 - s**3/6 + 5*s**2. Let w(b) = -50*b**3 - 120*b**2 - 105*b - 30. Let a(i) = w(i) + 5*y(i). Factor a(c).
-5*(c + 1)**3*(c + 7)
Let v(i) be the second derivative of -i**7/147 + 3*i**6/35 - i**5/5 - 4*i**4/3 + 32*i**3/7 + 128*i**2/7 - 7*i - 13. Determine j, given that v(j) = 0.
-2, -1, 4
Let t(n) = n**2 - 6*n - 5. Let r be t(7). Suppose -6*v = -10*v + 4, j - 2*v + r = 0. Let u + 2*u**2 + u**3 + j*u**2 - 5*u**2 + u**2 = 0. Calculate u.
0, 1
Let y(c) = -c + 12. Let w be y(9). Let s be (w/(-2) + 2)*(3 - -1). Find d such that -5 + 0*d + 12*d + 3*d + 17 + 3*d**s = 0.
-4, -1
Suppose 86 + 519 = 121*n. Let x(u) be the third derivative of -1/660*u**6 + 10*u**2 + 0*u + 0 - 2/33*u**3 - 5/132*u**4 - 2/165*u**n. Factor x(a).
-2*(a + 1)**2*(a + 2)/11
Find y such that 1/2*y**2 - 55/2 - 3*y = 0.
-5, 11
Let k = -935 - -936. Let c(o) = o**2 + o. Let q = -12 + 18. Let u(z) = 4*z**3 - 34*z**2 + 54*z - 36. Let f(n) = k*u(n) + q*c(n). Let f(y) = 0. What is y?
1, 3
Let b(c) be the third derivative of c**5/45 + c**4/36 + c**2 + 2150*c. Solve b(r) = 0.
-1/2, 0
Let p(c) be the second derivative of -c**5/10 + 174*c**4 - 91175*c**3 + 542882*c**2 - 5*c - 57. Let p(q) = 0. Calculate q.
2, 521
Let l = -231383/2 + 117745. Factor -l*d - 111/2*d**2 - 50653/2 - 1/2*d**3.
-(d + 37)**3/2
Let k(j) be the third derivative of 49*j**2 + 1/30*j**6 + 0*j**3 + 0*j**4 + 4/15*j**5 + 0 + 0*j. Determine z, given that k(z) = 0.
-4, 0
Let l = 128 - 133. Let q be l - (219/66)/(11/(-22)). What is z in -200/11*z**2 - q - 120/11*z = 0?
-3/10
Let k be (29 - (-1782)/(-36) - -17)*-3. Determine z, given that -1/4*z**2 + k - 19/4*z = 0.
-21, 2
Suppose -3171 = -190*q - 2791. Factor -8/5 - 1/5*t**q + 6/5*t.
-(t - 4)*(t - 2)/5
Let o = 269675/23964 + -20/5991. Factor -o + 25/2*z - 5/4*z**2.
-5*(z - 9)*(z - 1)/4
Let n(t) be the first derivative of t**4/28 + 32*t**3/21 + 185*t**2/14 + 250*t/7 - 31. Let n(x) = 0. What is x?
-25, -5, -2
Let t = 340061/226698 + -7/113349. Determine k, given that 3/2*k**3 + 6*k**2 - 6*k - t*k**4 + 0 = 0.
-2, 0, 1, 2
Suppose 0 = 5*d + 2*h - 63, h - 25 = -3*d + 3*h. Solve -11*v + 5*v**2 + 3*v**3 - 12*v**2 + 4*v**2 - 17 + v**4 + d = 0 for v.
-3, -1, 2
Let z(l) = -8 + 3 - 12*l**2 + 51*l - 33*l - 2*l**3 + 4*l**3. Let o be z(4). Factor -10/7*c - 4/7 + 2/7*c**o + 2/7*c**4 - 6/7*c**2.
2*(c - 2)*(c + 1)**3/7
Let n(b) = 3*b + 15. Let k be n(-4). Suppose -2*u - 46 = h - k*h, 2*h - 3*u = 50. Factor 12*j**4 + h*j**3 - 50*j**2 - 8 + 32*j + 2*j**5 + 19*j**3 - 26*j**4.
2*(j - 2)**2*(j - 1)**3
Let i(d) = -3*d + 18. Let m be i(5). Factor -b**5 + m*b**3 + 137548 - 137548 - 11*b**2 + 6*b + 3*b**4.
-b*(b - 3)*(b - 1)**2*(b + 2)
Let t(u) be the first derivative of u**6/2 - 4*u**5/5 - 13*u**4 - 26*u**3/3 + 49*u**2/2 + 30*u + 823. What is f in t(f) = 0?
-3, -1, -2/3, 1, 5
Let q(a) be the second derivative of a**4/12 - 179*a**3/6 - 90*a**2 + 2118*a. Factor q(h).
(h - 180)*(h + 1)
What is o in -34/3*o - 52/9*o**3 + o**4 - 16/9 - 49/3*o**2 = 0?
-1, -2/9, 8
Let r(x) = -8*x**2 - 264*x. Let v be r(-33). Solve v + 5/6*f**2 + 2/3*f - 1/4*f**3 = 0.
-2/3, 0, 4
Let i be 14/(-6)*((-60)/25)/(280/60). Suppose 0*w - 2/5*w**5 + 0 + i*w**2 - 6/5*w**4 + 2/5*w**3 = 0. What is w?
-3, -1, 0, 1
Suppose -5*h - 5*q + 35 = 0, -4*h + 1 = -q - 7. Let -4*w - 20 + 5*w**3 + 5*w**2 - 2*w**h - 2*w**3 = 0. What is w?
-5, -2, 2
Let v(a) be the second derivative of a**7/840 + a**6/120 + a**5/60 - 68*a**3/3 + 31*a. Let r(y) be the second derivative of v(y). Factor r(g).
g*(g + 1)*(g + 2)
Let o = 7721 + -38589/5. Let i(r) be the first derivative of -16/5*r**3 - 9/10*r**4 - o*r**2 - 2/25*r**5 + 0*r + 33. Find u, given that i(u) = 0.
-4, -1, 0
Let t(u) = -169*u + 1525. Let o be t(9). Let a(q) be the second derivative of 0 - 3/80*q**5 + 3*q + 0*q**2 - 1/12*q**o - 1/24*q**3. Factor a(i).
-i*(i + 1)*(3*i + 1