9)**3/5
Let p = 8728/447 - 1320/149. Let -p + 8/3*c - 1/6*c**2 = 0. What is c?
8
Let s(n) be the third derivative of 57/5*n**5 + 71*n**2 + 16*n**4 + 0 + 133/60*n**6 - 32/3*n**3 + 1/7*n**7 + 0*n. Find c, given that s(c) = 0.
-4, -1, 2/15
Let h(q) be the second derivative of -q**7/315 - 2*q**6/25 - 47*q**5/75 - 34*q**4/15 - 193*q**3/45 - 22*q**2/5 - 975*q. What is v in h(v) = 0?
-11, -3, -2, -1
Let y(d) = 2*d**2 - 14*d - 15. Let c be y(10). Let v = c - 43. Factor 59*m - 4*m**v + 60*m - 103*m - 12.
-4*(m - 3)*(m - 1)
Factor 286*r**2 - 460 - 81*r - 375*r - 282*r**2.
4*(r - 115)*(r + 1)
Let o be -4 + ((-30)/(-54) - -3) + 8722/630 + 1. Solve -102/5*u - 27/5*u**2 + 3/5*u**3 - o = 0 for u.
-2, -1, 12
Factor -1226178/7 - 3132/7*y - 2/7*y**2.
-2*(y + 783)**2/7
Let u = -40 + 46. Suppose 4*h - 20 = -h, h = -d + u. Factor -10*j**d + 11*j**2 - 3*j**2 + 6*j.
-2*j*(j - 3)
Let z(f) be the first derivative of f**3/2 - 447*f**2/2 + 212. Suppose z(v) = 0. Calculate v.
0, 298
Let k be (-10)/2 + 10/5. Let s be 1/((-6)/(-45)) + k/(-2). What is x in s*x**4 + 7*x**3 - 7*x**4 - 3*x**3 = 0?
-2, 0
Let y(d) be the second derivative of -2 - 3/20*d**5 - 1/2*d**4 - 1/2*d**3 + 0*d**2 - 11*d. Solve y(b) = 0.
-1, 0
Let l(s) be the first derivative of 1/12*s**3 + 13/8*s**2 + 99 + 3*s. Suppose l(u) = 0. Calculate u.
-12, -1
Let x be (6/15*-2)/(((-11970)/(-600))/(-57)*8). Factor 192/7*u + 576/7 + x*u**3 - 44/7*u**2.
2*(u - 12)**2*(u + 2)/7
Let c = 573 - 571. Suppose -7*j**c + 10*j**2 + 193*j - 187*j + 3 = 0. Calculate j.
-1
Let p(c) be the first derivative of -8/3*c**3 + 117 - 14/15*c**5 + 0*c**2 + 0*c - 8/3*c**4 - 1/9*c**6. Factor p(i).
-2*i**2*(i + 2)**2*(i + 3)/3
Let k(j) = -132*j**2 - 711*j - 777. Let t(s) = -133*s**2 - 716*s - 769. Let f(b) = -7*k(b) + 6*t(b). Suppose f(o) = 0. What is o?
-25/7, -11/6
Let p(r) be the third derivative of 0*r - 72*r**2 + 0*r**3 + 0 - 1/660*r**6 + 0*r**4 + 2/165*r**5. What is t in p(t) = 0?
0, 4
Let u(j) be the second derivative of 18/5*j**2 - 25*j - 3 - 1/30*j**4 - 17/15*j**3. Find f such that u(f) = 0.
-18, 1
Let b be 13760/(-15480)*66/(-7) - 8*1/1. Suppose -8/7*k**2 + 2/3*k**3 - b*k + 32/21 - 2/21*k**4 = 0. What is k?
-1, 2, 4
Suppose 6 = 3*r, 1879 = -2*t - 4*r + 1891. Factor -20/13*b**4 + 0 + 34/13*b**3 + 0*b + 2/13*b**5 - 16/13*b**t.
2*b**2*(b - 8)*(b - 1)**2/13
Let r = -207 - -314. Let -53 - 54 - u**5 - 3*u**4 + r + 4*u**2 = 0. What is u?
-2, 0, 1
Let x(l) be the third derivative of -l**6/40 - 44*l**5/5 - 7565*l**4/8 + 7921*l**3 + 2593*l**2. Factor x(b).
-3*(b - 2)*(b + 89)**2
Let t = 161/160 + 127353/1120. Let p = 115 - t. Factor p*s + 2/7*s**2 - 4/7.
2*(s - 1)*(s + 2)/7
Let t(f) = 32*f**3 + 37*f**2 - 115*f + 65. Let u be (-12)/(-2) - (0 + -5). Let d(z) = -16*z**3 - 18*z**2 + 57*z - 33. Let v(m) = u*d(m) + 6*t(m). Factor v(i).
(i + 3)*(4*i - 3)**2
Factor -88*f + 2*f**2 - 218 - 156 + 2*f**2 - 42.
4*(f - 26)*(f + 4)
Let m(q) be the first derivative of -q**4/4 + 5*q**3/3 + 16*q**2 + 36*q - 1606. Factor m(w).
-(w - 9)*(w + 2)**2
Solve -66*g - 249/2*g**3 - 162*g**2 - 27*g**4 + 0 + 3/2*g**5 = 0 for g.
-2, -1, 0, 22
Determine m, given that 75/4*m**4 + 669/4*m**3 + 804*m + 2469/4*m**2 + 3/4*m**5 + 336 = 0.
-8, -7, -1
Let z(x) = -136*x**3 + 1857*x**2 - 6430*x - 143. Let b(r) = -543*r**3 + 7425*r**2 - 25719*r - 573. Let y(c) = 4*b(c) - 15*z(c). Let y(i) = 0. Calculate i.
-1/44, 7
Let k be (9/27)/(-1*(-4)/24). Suppose t + k*t - 12 = 3*q, -3*q = -2*t + 12. Let t + 2*p - 2/3*p**2 - 4/3*p**3 = 0. What is p?
-3/2, 0, 1
Find f, given that -19*f - 4*f**2 + 11*f**3 - 36 + 44*f**2 - 13*f**3 - 5*f**2 - 20*f**2 = 0.
-1, 4, 9/2
Factor -76/9*d + 2/9*d**2 - 1078/9.
2*(d - 49)*(d + 11)/9
Let z(n) be the second derivative of -n**5/20 + 15*n**4/4 + 32*n**3 - 9728*n**2 - 2611*n. Find b such that z(b) = 0.
-19, 32
Let d(u) = 2*u**2 + 8*u - 28. Suppose 158 = -6*x + 122. Let r(t) = 2*t**2 + 9*t - 26. Let q(k) = x*r(k) + 5*d(k). Determine p, given that q(p) = 0.
-8, 1
Let c(q) be the second derivative of 22/3*q**3 - 11/3*q**4 - 6*q**2 + 4/15*q**6 + 4*q - 2 + 1/5*q**5. Find x, given that c(x) = 0.
-3, 1/2, 1
Let y(r) be the third derivative of r**5/150 - 4*r**4/15 - 19*r**3/5 + 737*r**2. Factor y(u).
2*(u - 19)*(u + 3)/5
Suppose -4*r - 409 = -289. Let v be (35/(-4) - -5)/(r/40). What is k in v - 5/4*k**2 - 15/4*k = 0?
-4, 1
Let p(v) be the first derivative of 3*v**4/8 + 19*v**3 + 312*v**2 + 2112*v + 3851. Determine y, given that p(y) = 0.
-22, -8
Suppose 1442 = 2*b + 4*v - 4682, -2*b - 5*v + 6119 = 0. Determine o so that 31*o**3 + 2347*o + 47*o**3 + 341*o - 720*o**2 + 62*o**4 - 65*o**4 - b = 0.
2, 8
Let t(q) be the third derivative of 1/210*q**5 + 0*q**3 - q**2 + 0*q - 49 - 1/42*q**4. Factor t(u).
2*u*(u - 2)/7
Let s be 7/(-8)*-12*20/30. Let k(l) be the third derivative of s*l**2 + 1/90*l**5 + 1/9*l**3 + 0 - 5/72*l**4 + 0*l. Let k(j) = 0. Calculate j.
1/2, 2
Let r(w) be the first derivative of -w**4/2 + 4*w**3 - 8*w**2 + 770. Factor r(p).
-2*p*(p - 4)*(p - 2)
Factor 17/4*x**3 - 1/4*x**4 - 45/2*x**2 + 54 + 27*x.
-(x - 6)**3*(x + 1)/4
Let w(j) = 304*j + 8210. Let t be w(-27). What is f in 12/5 + 12/5*f**5 + 51/5*f**t - 63/5*f - 63/5*f**4 + 51/5*f**3 = 0?
-1, 1/4, 1, 4
Let t(j) be the third derivative of 1/1344*j**8 - 1/30*j**5 + 1 + 0*j**4 + 0*j**3 - 1/140*j**7 - 1/32*j**6 + 0*j + j**2. Factor t(g).
g**2*(g - 8)*(g + 1)**2/4
Suppose 3*j + 2*j - 70 = -5*h, -3*j - h = -36. Factor 108 + j*a**2 - 9*a - 12*a**2 - 62 - 54.
-(a + 1)*(a + 8)
Let s(q) = -q**3 + q**2 + 4*q - 4. Let v be s(2). Suppose w + 3*l - l - 4 = v, l - 3 = -w. Find u, given that -4/7*u**3 - 2/7*u**4 + 2/7*u**w + 4/7*u + 0 = 0.
-2, -1, 0, 1
Let q(c) = -20*c**4 + 52*c**3 + 320*c**2 + 272*c - 120. Let s(b) = b**4 - 1. Let l(w) = -q(w) - 8*s(w). Suppose l(g) = 0. What is g?
-2, 1/3, 8
Find p, given that -5*p**2 + 13 + 9*p**4 - p**4 - 17*p**2 - 1 + 2*p**5 + 2*p**2 - 2*p = 0.
-3, -2, -1, 1
Suppose -8 = -6*o + 4. Let n = -242 - -244. Let -2/3*w**o - 4/3 + n*w = 0. Calculate w.
1, 2
Let w(x) be the second derivative of -x**8/2240 - 61*x**3/6 - 36*x. Let c(g) be the second derivative of w(g). Factor c(y).
-3*y**4/4
Let q = -529 - -535. Find x, given that -8 + 3*x**2 + 19*x - 61*x - 31 - q = 0.
-1, 15
Let q(h) = h**2 - 12*h - 87. Let a be q(18). Let l be (-2)/((-133)/a - (-2)/6). Let 0 - l*t - t**2 + 4/3*t**3 = 0. Calculate t.
-1/4, 0, 1
Let g(o) be the third derivative of o**7/210 + 119*o**6/40 + 71*o**5/4 + 1063*o**4/24 + 59*o**3 + o**2 + 615*o + 2. What is d in g(d) = 0?
-354, -1
Let z = -779 - -782. Factor -5 - 5*u**4 - 8*u**5 + 16*u**2 - 108*u - 6*u**2 - 2*u**z + 109*u + 9*u**5.
(u - 5)*(u - 1)**2*(u + 1)**2
Factor 1/7*a**2 + 468/7 - 236/7*a.
(a - 234)*(a - 2)/7
Let o(y) be the third derivative of y**5/12 + 275*y**4/24 - 2698*y**2. Solve o(v) = 0 for v.
-55, 0
Let o(c) be the second derivative of c**5/300 + c**4/120 - 2*c**3/3 + 165*c**2/2 + 42*c. Let u(x) be the first derivative of o(x). Let u(n) = 0. Calculate n.
-5, 4
Factor -8/15*d**3 - 16/3*d + 32/5 - 58/15*d**2.
-2*(d + 4)**2*(4*d - 3)/15
Suppose 22920 = 670*z - 694*z. Let k = z - -7665/8. Factor k + 5/4*y + 1/8*y**2.
(y + 5)**2/8
What is g in -1/3*g - 14 + 43/3*g**2 - 1/3*g**4 + 1/3*g**3 = 0?
-6, -1, 1, 7
Let m(w) be the first derivative of -2*w**3/3 - 876*w**2 + 1754*w - 1540. Factor m(u).
-2*(u - 1)*(u + 877)
Let t be (-9)/(-5) - 7/((-84)/(-12)). What is i in 4/5*i - t*i**2 + 48/5 = 0?
-3, 4
Let z(a) be the second derivative of a**7/15120 - a**6/480 - a**5/72 + 59*a**4/12 - 69*a. Let c(l) be the third derivative of z(l). Factor c(w).
(w - 10)*(w + 1)/6
Let b(a) be the first derivative of a**3 + 1/4*a**4 + 31 - 2*a - 1/2*a**2 - 1/5*a**5. Let b(v) = 0. Calculate v.
-1, 1, 2
Let j be 8 + (-6 - 1) + (-96)/240. Let m = 338 + -334. What is t in j*t**2 + 0 + 6/5*t - 3/5*t**m - 6/5*t**3 = 0?
-2, -1, 0, 1
Let g(w) be the first derivative of w**5 + 360*w**4 + 35035*w**3 + 102245*w**2 - 2260. Factor g(h).
5*h*(h + 2)*(h + 143)**2
Let v(u) = 4*u**4 + 27*u**3 - 63*u**2 - 112*u + 240. Let x(c) = 2*c**4 + 14*c**3 - 32*c**2 - 56*c + 120. Let p(w) = 6*v(w) - 11*x(w). Factor p(k).
2*(k - 2)**2*(k + 3)*(k + 5)
Let x(t) = -324*t - 83. Let v be x(-4). Factor 8*h + 1230 + v + 8*h**2 - 2475 - 2*h**3.
-2*(h - 4)*(h - 2)*(h + 2)
Let j(m) be the third derivative of -1/24*m**6 