
What is i in -2/9*i**4 + 476/9*i**2 - 158/3 + 152/9*i - 152/9*i**3 = 0?
-79, -1, 1, 3
Let k(c) = 8*c**2 - 2*c. Let g(r) = -25*r**2 - 62*r - 132. Let o(a) = -g(a) - 3*k(a). Factor o(i).
(i + 2)*(i + 66)
Let w(y) be the second derivative of -y**7/14 - 3*y**6/10 + 21*y**5/20 + 15*y**4/4 - 9*y**3 + 9*y - 38. Determine p, given that w(p) = 0.
-3, 0, 1, 2
Let o(x) be the third derivative of x**6/1620 + 7*x**5/270 - 5*x**4/36 - 25*x**3/3 + 46*x**2. Let c(s) be the first derivative of o(s). Factor c(y).
2*(y - 1)*(y + 15)/9
Suppose 31*d - 67 = 26. Solve -252*a - 20*a**2 - 6*a**2 + 3*a**d - 17*a**2 + 266*a = 0.
0, 1/3, 14
Let v = 1425 - 1423. Suppose -b = -3*d - 10, 2*b + 5*d + 2 + 0 = 0. Factor -20*j - 24*j**2 - 5*j**3 - v*j**b + 4*j - 7*j**3.
-2*j*(j + 2)**3
Let g be (793/(-130))/((-12)/(-15)) + 8. Let w(o) be the first derivative of 27/2*o + g*o**4 + 9/4*o**2 - 5/2*o**3 + 24. Factor w(y).
3*(y - 3)**2*(y + 1)/2
Let p = 126895 - 380669/3. Determine s so that 1/3*s**3 + p + 11*s + 6*s**2 = 0.
-16, -1
Let x(i) = 2*i**3 + 245*i**2 + 122*i + 3. Let k be x(-122). Find t such that -2/3*t**2 + 0 + 0*t + 1/3*t**k = 0.
0, 2
Suppose -2/23*w**3 - 448/23 - 44/23*w**2 + 320/23*w = 0. Calculate w.
-28, 2, 4
Let z be 67/(-84)*-1*15/20. Let t = z - 5/16. Determine d so that t - 24/7*d + 22/7*d**2 = 0.
1/11, 1
Let f(n) = 5*n**3 + n**2 + n + 4. Let s(z) = 68*z**3 + 116*z**2 + 16*z - 46. Let b(h) = 28*f(h) - 2*s(h). What is l in b(l) = 0?
-1, 1, 51
Let f = -799 - -810. Suppose 23*h = -f*h + 102. Factor -2/7*c**h + 10/7*c + 2/7*c**2 + 6/7.
-2*(c - 3)*(c + 1)**2/7
Suppose 13*k + 229*k - 1210 = 0. Find y, given that 3/5*y**4 - 1/5*y**k - 3/5*y**2 + 2/5*y - 1/5*y**3 + 0 = 0.
-1, 0, 1, 2
Factor -8471 - 53*k + 8471 - 4*k**4 + 44*k**3 + 112*k**3 + 8153*k - 1980*k**2.
-4*k*(k - 15)**2*(k - 9)
Let y be ((-920)/69 - -12)/((-2)/6). Let n(s) be the first derivative of 3*s**3 + 21/4*s**y + 3*s**5 - 2 + 0*s + 1/2*s**6 + 0*s**2. Solve n(g) = 0 for g.
-3, -1, 0
Let j(v) = 18*v**3 - 301*v**2 + 3333*v - 10265. Let w(a) = 44*a**3 - 752*a**2 + 8332*a - 25660. Let z(c) = -12*j(c) + 5*w(c). Let z(o) = 0. Calculate o.
5, 16
Suppose 2*x + 4*u = 12, 2*u - 11 + 6 = -3. Factor -6*n - 1/2*n**4 + x*n**2 + 5/2*n**3 + 0.
-n*(n - 6)*(n - 1)*(n + 2)/2
Let v(n) be the third derivative of -n**6/480 + 241*n**5/80 - 721*n**4/48 - n**2 - 1565*n - 2. Find s such that v(s) = 0.
0, 2, 721
Let r(g) be the third derivative of g**5/90 + 11*g**4 + 395*g**3/9 - 2*g**2 - 476*g. Determine m so that r(m) = 0.
-395, -1
Let v(i) be the second derivative of -i**6/210 + i**5/20 + 205*i**4/84 + 1025*i**3/42 + 750*i**2/7 + 3428*i. Factor v(o).
-(o - 20)*(o + 3)*(o + 5)**2/7
Suppose 87*i = 76*i + 33. Factor -39*q + i*q**3 - q**3 - 8*q**2 - 5*q**3 - 6 - 16*q**2 - 12.
-3*(q + 1)**2*(q + 6)
Let u be 9 - 3/9*0. Suppose u*z - 16 = z. Suppose z + 4 - 6 - b**2 + 2*b = 0. What is b?
0, 2
Factor -8/9*x - 16/3 + 2/9*x**4 + 4*x**2 + 2*x**3.
2*(x - 1)*(x + 2)**2*(x + 6)/9
Solve 716/9*c - 32 + 10/9*c**2 = 0.
-72, 2/5
Let v be (-2345)/588 + ((-8)/(-10))/((-1)/(-5)). Let g(u) be the third derivative of 0*u**3 + 0*u + v*u**4 - 13*u**2 + 0 + 1/30*u**5. Factor g(k).
2*k*(7*k + 1)/7
What is d in 286443 + 1854*d + 173*d**2 - 85*d**2 - 85*d**2 = 0?
-309
Let u(x) be the second derivative of -2/21*x**7 + 7/3*x**4 + 68*x - 9/5*x**5 + 0*x**2 + 2/3*x**6 - 4/3*x**3 + 0. Factor u(a).
-4*a*(a - 2)*(a - 1)**3
Suppose a - 22*n + 25*n = -33, 22 = 3*a - 2*n. Factor a*p - 3/7*p**3 + 3/7*p**4 + 0*p**2 + 0.
3*p**3*(p - 1)/7
Factor 663*n**2 - 80*n + 1127*n**2 + 50181*n**3 - 24971*n**3 - 24985*n**3.
5*n*(n + 8)*(45*n - 2)
Let i(x) be the third derivative of x**7/420 - 11*x**6/80 + 253*x**5/120 + 119*x**4/16 - 289*x**3/6 - x**2 - 117*x. Determine q so that i(q) = 0.
-2, 1, 17
Let l = -576 + 567. Let r be 550/630 + l/21. Factor -r*k**2 + 0*k + 10/3*k**3 + 0 - 16/3*k**4 - 32/9*k**5.
-2*k**2*(k + 2)*(4*k - 1)**2/9
Let d(v) be the second derivative of -18 + 939/40*v**5 + 135/4*v**3 - 3*v - 75/4*v**2 - 291/8*v**4 + 9/7*v**7 - 42/5*v**6. Factor d(f).
3*(f - 1)**3*(6*f - 5)**2/2
Let h(n) = n**3 + 136*n**2 + 5380*n + 62722. Let g(y) = 2*y**2 + 2*y + 1. Let s(d) = 2*g(d) - h(d). Determine t, given that s(t) = 0.
-56, -20
Suppose 0 = 20*m + 18*m + 76. Let w(o) = -250*o**4 + 1150*o**3 + 3720*o**2 + 3218*o + 896. Let v(j) = j. Let t(r) = m*w(r) - 28*v(r). Factor t(l).
4*(l - 7)*(5*l + 4)**3
Let r(j) be the second derivative of 8*j - 2/15*j**6 + 2/3*j**3 + 3/5*j**5 + 5 + 0*j**2 - j**4. Find q, given that r(q) = 0.
0, 1
Suppose -2*a = 4*h - 24, 3*h = -h - 5*a + 12. Suppose -m + 0*x - h = 3*x, -12 = -5*m - 2*x. Factor -4*l**3 - 7*l**4 + 1 + 1 + 4*l + 12*l**m - 7*l**4.
-2*(l - 1)*(l + 1)**3
Let o(m) be the second derivative of m**7/14 + 7*m**6/30 - 7*m**5/20 - 9*m**4/4 - 10*m**3/3 - 2*m**2 - 128*m. Suppose o(k) = 0. Calculate k.
-2, -1, -1/3, 2
Suppose 0 = 6*w - 2*s - 5038, -4*s + 3354 = 4*w - 3*s. Let j = -836 + w. What is o in -4/13*o**2 + 0*o + 0 - 2/13*o**j = 0?
-2, 0
Let n be ((-180)/(-315))/(738/1435). Solve n*s**2 - 6*s + 20/9 = 0 for s.
2/5, 5
Suppose 42*h = -12951 + 13119. Factor -2/3*z - 1/3*z**2 + 1/3*z**h + 0 + 2/3*z**3.
z*(z - 1)*(z + 1)*(z + 2)/3
Let c(r) = -r**3 + 18*r**2 - 16*r - 13. Let t be c(17). Suppose t*d + 26 = 6*f - f, 16 = -4*d. Factor 2389*h + 2*h**3 + 0*h**2 + 0*h**f - 2391*h.
2*h*(h - 1)*(h + 1)
Let r(g) be the second derivative of -g**8/23520 - g**7/1764 - g**6/315 - g**5/105 + 43*g**4/12 - 98*g. Let a(l) be the third derivative of r(l). Factor a(b).
-2*(b + 1)*(b + 2)**2/7
Let w(u) be the first derivative of -8*u**5/5 - 127*u**4 + 256*u**3/3 + 1576. Suppose w(z) = 0. Calculate z.
-64, 0, 1/2
Let z(m) be the first derivative of 3*m - 1/8*m**4 - 1/6*m**3 + 11 - 1/40*m**5 + 0*m**2. Let a(w) be the first derivative of z(w). Determine p so that a(p) = 0.
-2, -1, 0
Let h = -1949 - -1952. Let o = -1/2 + 3/4. Suppose 0*w + 0*w**h + 0 + o*w**4 - 1/4*w**2 = 0. What is w?
-1, 0, 1
Factor -3871488/5 - 6816/5*i - 3/5*i**2.
-3*(i + 1136)**2/5
Let o(l) be the third derivative of l**5/15 + l**4/2 - 12*l**3 - 396*l**2. What is f in o(f) = 0?
-6, 3
Let v = -345 - -344. Let d be (-150)/(-180) + v/(-2). Let -4*f - 8/3 + 0*f**2 + d*f**3 = 0. Calculate f.
-1, 2
Let f(p) be the first derivative of p**5/40 - 3*p**4/2 + 119*p**3/4 - 289*p**2/2 - 14739*p/8 + 2414. Factor f(q).
(q - 17)**3*(q + 3)/8
Suppose 10*v = 2*v - 152. Let h = v + 22. Find w such that -8*w**3 + 7*w - 8*w**2 - 3*w - w**h + 13*w**3 = 0.
0, 1
Find c such that 1830*c**2 + 3631696000 + 4465200*c + 1/4*c**3 = 0.
-2440
Factor 3*d**2 - 616 - 468 + 69*d + 1210.
3*(d + 2)*(d + 21)
Let f be (64/96)/(1*1/(-66)). Let w be (-8)/f + (-62)/(-22)*1. Solve 4*b + 12*b**2 - 2 - 5*b**4 - 14*b**w + 10*b**3 - 6 + b**4 = 0.
-2, -1, 1
Let r be (-10 - 370/(-40))*((-2)/3)/(4 - 2). Find z, given that 15/4*z**2 + r*z**4 - 2*z**3 + 2*z - 4 = 0.
-1, 1, 4
Let g be (45/126)/(-5)*((-147)/35 - -3)*255. Suppose g*n**2 - 3/7*n**3 + 156/7*n + 0 = 0. Calculate n.
-1, 0, 52
Factor -208 - 205 + 225*l + 105*l**2 + 528 - 5*l**3.
-5*(l - 23)*(l + 1)**2
Let j(w) = w**3 + 3*w**2 + 4*w - 379. Let a be j(0). Let z = 2659/7 + a. Determine u so that -2/7*u**2 + 2/7*u**5 - 6/7*u**4 + 0 + z*u**3 + 0*u = 0.
0, 1
Suppose 12*u = -7*u + 95. Suppose -6*b**2 + 4*b**3 - 72 - u*b**3 - 60*b + 0*b**3 + 4*b**3 = 0. What is b?
-2, 6
Let o(z) be the first derivative of z**5/30 + z**4/2 + 37*z**3/18 + 7*z**2/2 + 8*z/3 + 493. Factor o(x).
(x + 1)**2*(x + 2)*(x + 8)/6
Suppose -8*x - 12 = -14*x. Factor 440*f - 113 + 374 - 161 - 45*f**x.
-5*(f - 10)*(9*f + 2)
Let j = -95571 - -95573. Find i such that 12/5 - 1/5*i - 1/5*i**j = 0.
-4, 3
Solve -60*t + 2/9*t**2 + 538/9 = 0.
1, 269
Let 552*h**2 + 100*h**4 - 3105*h - 10*h**5 + 390*h**3 - 1452*h**2 + 3*h**5 + 17*h**5 - 15*h**5 = 0. Calculate h.
-3, 0, 3, 23
Let b(d) be the third derivative of -d**6/360 - 11*d**5/36 + 61*d**4/36 + 76*d**3/3 + 8461*d**2. Determine j, given that b(j) = 0.
-57, -2, 4
Let t = 2008/11 - 14034/77. Factor -t*a**3 - 12/7*a - 10/7*a**2 + 0.
-2*a*(a + 2)*(a + 3)/7
Let c(v) be the second derivative of v**5/80 - 83*v**4/12 + 661*v**3/24 - 165*v**2/4 + 6756*v - 1. Determine x, given that c(x) = 0.
1, 330
Suppose 5*a = 87 + 98. Let k be (2 - 1)*(-6)/(7 - a). Factor 0 + 1/5*p + 0*p**3 - 2/5*p**2 + 2/5*p*