 (-10280)/(-57825)*(-10)/(-8). Find w such that 16/9*w + 20/9*w**2 + v*w**5 - 2/3*w**3 + 0 - 8/9*w**4 = 0.
-1, 0, 2, 4
Let r be (-11)/(-330)*-5 + (6/(-3) - (-81)/36). Solve -r*p**2 + p - 11/12 = 0.
1, 11
Let o = -1/684522 + 2909219/342261. Determine m so that -15*m + 0 + 1/6*m**4 - o*m**2 - 2/3*m**3 = 0.
-3, 0, 10
Let b(h) = 64*h**3 + 4*h**2 + 8*h + 1. Let q be b(-2). Let m = 514 + q. Let 1/2*g**4 - g - 1/2*g**2 + 0 + g**m = 0. What is g?
-2, -1, 0, 1
Let a(h) = -5*h**4 + 6*h**3 + 94*h**2 + 4*h + 2. Let v(p) = 12*p**4 - 10*p**3 - 187*p**2 - 10*p - 5. Let w(i) = -5*a(i) - 2*v(i). Factor w(q).
q**2*(q - 16)*(q + 6)
Let j be 39 - 6208/160 - 0*2/6. Find l, given that -4/5*l**3 + j*l**2 - 1/5*l**4 + 4/5*l + 0 = 0.
-4, -1, 0, 1
Let a(h) be the third derivative of 110*h**2 - 128*h**3 - 1/20*h**5 + 0 + 4*h**4 + 0*h. Solve a(i) = 0 for i.
16
Let t(q) be the third derivative of -5*q**8/336 - 10*q**7/21 + 4075*q**2. Factor t(d).
-5*d**4*(d + 20)
Suppose -14*q + 118 = 3*p - 10*q, 71 = p - 5*q. Suppose 15*i - p*i = -124. Solve -7/4*n**i + 9/2*n**3 + 2*n + 1/4*n**5 + 0 - 5*n**2 = 0.
0, 1, 2
Let j(p) be the first derivative of p**6/18 - p**5/3 - 13*p**4/12 - 7*p**3/9 + 1668. Find x, given that j(x) = 0.
-1, 0, 7
Let r(u) be the third derivative of 0 + 15*u**2 - 1/48*u**4 + 1/480*u**6 + 1/1344*u**8 + 0*u + 0*u**3 + 1/280*u**7 - 1/80*u**5. Factor r(n).
n*(n - 1)*(n + 1)**2*(n + 2)/4
Let g(i) be the first derivative of -3/2*i**2 + 286 + 14/3*i**3 + 1/2*i**4 - i**5 - 9*i + 1/6*i**6. Factor g(y).
(y - 3)**2*(y - 1)*(y + 1)**2
Find n such that -21*n**3 + 4*n**4 - 2*n**5 - 22*n**4 - 33*n**3 - 10*n**2 - 44*n**2 = 0.
-3, 0
Let r = -94280 - -94284. Solve 0 + 2*a**3 + 1/4*a**r + 0*a + 3*a**2 = 0.
-6, -2, 0
Let y = 3019/1743 + -40/249. Factor 97/7*g + 18/7 - y*g**2.
-(g - 9)*(11*g + 2)/7
Let v(k) = -9*k**2 - 6*k - 5. Suppose 8*z + 10 = 3*z. Let n be 6 - 9/(-6)*z. Let c(b) = -8*b**2 - 7*b - 5. Let w(l) = n*v(l) - 4*c(l). Factor w(m).
5*(m + 1)**2
Let r(h) be the first derivative of 4*h**5/25 - 11*h**4/5 + 56*h**3/5 - 136*h**2/5 + 32*h - 320. Suppose r(q) = 0. What is q?
2, 5
Let k be (18 - 15)/(-4*2/(-8)). Let x(q) be the first derivative of q**2 + 2 - 2/3*q**k + 0*q. Factor x(w).
-2*w*(w - 1)
Let p(w) be the first derivative of 147/4*w**4 + 109*w**3 + 108*w - 19 + 24/5*w**5 + 156*w**2. Solve p(r) = 0.
-2, -9/8, -1
Let c be (36 - 7595/210)/(17/18 - 1). Suppose -2/3*v**4 + 34/3*v**c - 160/3*v**2 + 128/3*v + 0 = 0. What is v?
0, 1, 8
Suppose 317/7*t - 17*t**3 + 96/7 + 4/7*t**4 - 298/7*t**2 = 0. Calculate t.
-3, -1/4, 1, 32
Let c(r) be the third derivative of r**8/100800 + r**7/25200 - r**6/1800 - 2*r**5/3 + 20*r**2. Let l(q) be the third derivative of c(q). Factor l(h).
(h - 1)*(h + 2)/5
Suppose -108*k = -116*k + 4008. Let u = k + -1501/3. Factor 2/3*d + 2/3 + u*d**5 + 2/3*d**4 - 4/3*d**2 - 4/3*d**3.
2*(d - 1)**2*(d + 1)**3/3
Factor 6083*v**2 - 3023*v**2 - 3063*v**2 - 348 - 99*v.
-3*(v + 4)*(v + 29)
Let z be 420/100 + 6 + -7. Let a(j) be the second derivative of z*j**2 + 0 + 15*j + 1/30*j**4 + 8/15*j**3. Suppose a(l) = 0. Calculate l.
-4
Factor -25/4*h - 1/4*h**2 - 75/2.
-(h + 10)*(h + 15)/4
Let p(i) be the third derivative of 0 - 1/140*i**7 + 0*i + 0*i**3 + 1/80*i**6 + 1/40*i**5 - 1/16*i**4 - 251*i**2. Factor p(w).
-3*w*(w - 1)**2*(w + 1)/2
Let l = -677 + 1375. Let x = -1395/2 + l. What is j in 1/2*j + x*j**2 - 1/2 - 1/2*j**3 = 0?
-1, 1
Let f(i) be the first derivative of 18/7*i**2 + 5/7*i**4 - 16/7*i**3 - 41 - 8/7*i. Let f(p) = 0. What is p?
2/5, 1
Find c such that 610 + 923/2*c**2 - 1222*c - 3/2*c**3 = 0.
2/3, 2, 305
Let f = -168 - -172. Factor -6*j**4 - 9625*j**2 + 0*j**f - 111*j**3 + 9571*j**2.
-3*j**2*(j + 18)*(2*j + 1)
Let f(b) = 22*b**2 - b + 2. Let v be f(1). Let -29*a**4 - 7*a**4 - a**3 + 21*a**5 - 6*a**2 - v*a**4 + 34*a**3 + 11*a**4 = 0. Calculate a.
0, 2/7, 1
Suppose 46 = -y - 4*i, -1253*i + 1251*i - 34 = -5*y. Find d, given that -6/5*d**y + 12/5*d - 3/5*d**3 + 24/5 = 0.
-2, 2
Let -194481 + 59535/2*w + 432*w**2 + 3/2*w**3 = 0. Calculate w.
-147, 6
Factor -155/3 - 51/2*z + 1/6*z**2.
(z - 155)*(z + 2)/6
Let y(v) be the first derivative of -v**2 - 1/5*v**5 + 24*v - 17/3*v**3 + 53 + 2*v**4. Find n, given that y(n) = 0.
-1, 2, 3, 4
Determine b so that 11/3 - 16/3*b**2 - 13/6*b - 1/6*b**5 + 5/3*b**4 + 7/3*b**3 = 0.
-2, -1, 1, 11
Factor -31*b - 81*b**2 + 166*b**2 + 127*b - 82*b**2.
3*b*(b + 32)
Let s(k) = -2*k**3 + 325*k**2 - 119*k - 6966. Let i be s(162). Factor 4/5*h**3 + i*h**2 + 0 - 2/5*h + 0*h**4 - 2/5*h**5.
-2*h*(h - 1)**2*(h + 1)**2/5
Suppose -6*k + 8*k - 692 = 0. Let b = k + -343. Solve 0 - 14/9*a**b - 2/3*a**4 - 2/9*a - 10/9*a**2 = 0.
-1, -1/3, 0
Let a = 310 + -190. Solve -53*f + a*f**2 - 5*f**3 + 26*f + 0*f**3 + 27*f = 0.
0, 24
Let i(f) = f**3 + 26*f**2 - 790*f + 90. Let p be i(-44). Factor -1/8*c**p - 3/4 - 5/8*c.
-(c + 2)*(c + 3)/8
Determine m so that -5/2*m**3 - 816750*m + 2475*m**2 + 89842500 = 0.
330
Let j(r) be the first derivative of r**6/2160 - r**4/144 - 5*r**3/3 + 5*r - 197. Let k(q) be the third derivative of j(q). Determine t so that k(t) = 0.
-1, 1
Let t be (-6)/(-18) + (0 - 38/6). Let l(d) = 3*d**2 + 14*d + 20. Let c be l(t). Factor -10*u + 13*u**3 + 5 - 49*u**4 - 3*u**3 + c*u**4.
-5*(u - 1)**3*(u + 1)
Let h(d) be the third derivative of -8/39*d**3 + 0*d - 31*d**2 - 1/78*d**4 + 1/390*d**5 + 0. Factor h(x).
2*(x - 4)*(x + 2)/13
Let -25 - 1/4*u**2 - 101/4*u = 0. What is u?
-100, -1
Suppose 3*l = h + 231 - 37, 0 = 5*l + 2*h - 327. Let r = -61 + l. Find f such that 2*f**3 - 4 - 25*f**r + 5*f + 35*f**2 + 3*f**3 - 10*f**5 - 3 - 3 = 0.
-2, -1, 1/2, 1
Let a(v) be the third derivative of 0*v - 1/180*v**6 + 0*v**3 + 20*v**2 + 17/135*v**5 + 2/9*v**4 + 2. Factor a(q).
-2*q*(q - 12)*(3*q + 2)/9
Suppose 2*z = 4*z - 84. Solve -9 - 5*v**2 - 74 - z + 130*v = 0.
1, 25
Let t(u) = -u**2 + u + 15. Let q be t(0). Suppose -k - q = -4*k. Factor -41*g**4 + 4*g**3 - 2*g**5 - 2*g**k + 41*g**4.
-4*g**3*(g - 1)*(g + 1)
Let o(a) be the second derivative of -4/3*a**3 + 0 + 1/6*a**4 + 141*a - 5*a**2. Determine g, given that o(g) = 0.
-1, 5
Let x = -9329 + 18659/2. Let n be -1*2*(-9 - -8). Solve 0 + x*u**3 + 2*u + 2*u**n = 0.
-2, 0
Suppose -4*v = 4*d + 32, 3*v + d = 51 - 65. Let o be ((-3)/((-36)/58) + -5)*v. Find j, given that 9/10*j - 1/5*j**5 - 3/10*j**4 + o*j**3 + 13/10*j**2 + 1/5 = 0.
-1, -1/2, 2
Let l(a) be the first derivative of 722*a + 19*a**2 + 1/6*a**3 + 37. Factor l(h).
(h + 38)**2/2
Let u be (-1232)/(-1144)*(-39)/(-9). Let s(d) be the first derivative of 2/9*d**3 + 3 - u*d - 2*d**2. Factor s(a).
2*(a - 7)*(a + 1)/3
Let r(u) = 74*u**2 + 554*u - 38642. Let h(y) = 38*y**2 - y. Let b(x) = -2*h(x) + r(x). Factor b(p).
-2*(p - 139)**2
Let l be 385/28 - 11 - 2/(-8). Find x, given that -3*x**l - 7960*x**2 + 7951*x**2 - 3*x + 3*x = 0.
-3, 0
Let i(o) be the first derivative of 3*o**5/20 - 47*o**4/4 - 85*o**3/4 - 8*o**2 - 12032. Factor i(k).
k*(k - 64)*(k + 1)*(3*k + 1)/4
Let u(o) be the first derivative of -2*o**3/3 - 12*o**2 - 72*o + 147. Suppose u(w) = 0. Calculate w.
-6
Let h(z) = -z**2 + 39*z + 47. Let q be h(38). Let b = q - 82. Factor 3/2*v - 1/2*v**b + 0*v**2 + 1.
-(v - 2)*(v + 1)**2/2
Let o(k) = -k**2 - 29*k - 84. Let a be o(-22). Determine b, given that a*b - 15 - 363*b**3 - 345*b**3 - 95*b**2 + 748*b**3 = 0.
3/8, 1
Let a(k) = 66*k**2 + 873*k + 1248. Let p(g) = 27*g**2 + 349*g + 499. Let x(n) = -5*a(n) + 12*p(n). Factor x(m).
-3*(m + 28)*(2*m + 3)
Suppose -49/4 + 12*w**2 + 1/4*w**4 + 25/2*w**3 - 25/2*w = 0. What is w?
-49, -1, 1
Let g(m) be the third derivative of m**7/840 + 7*m**6/180 + m**5/2 + 3*m**4 + 77*m**3/6 + 2*m**2 + 108. Let f(n) be the first derivative of g(n). Factor f(j).
(j + 2)*(j + 6)**2
Suppose w = -f - 1, -5*w + 3*f + 36 = 9. Factor 8 - 186*k**2 + 76*k - 100*k**4 + 166*k**3 + 116*k**w - 90*k**2 + 10*k**3.
-4*(k - 1)**3*(25*k + 2)
Let y = -13371 - -40159/3. Factor y*z + 20*z**2 + 8/3.
2*(2*z + 1)*(15*z + 4)/3
Let b(l) = -l**2 - 900*l + 16526. Let a be b(18). Let -16/3*i - 8 - 2/3*i**a = 0. Calculate i.
-6, -2
Let h(g) = 4*g**3 + g**2 - g + 1. Let x be h(1). Let o(j) = -2*j**2 + 42*j + 29. Let v(f) = -3*f**2 + 42*f + 27. Let l(u) = x*v(u) - 6*o(u). Factor l(c).
-3*(c + 1)*(c + 13)
Let y(d) = -18*d - 6. Let n be y(-1). Find o such that 24*o + 0*