y - 896809. Let o(h) = -6*b(h) - 17*g(h). Find q such that o(q) = 0.
-947
Let d(q) = -q**3 - q**2 - q - 1. Let v(m) = -3*m**5 - 9*m**4 - 3*m**3 + 9*m**2 + 12*m + 6. Suppose -8*o + 52 = 44. Let c(g) = o*v(g) + 3*d(g). Factor c(u).
-3*(u - 1)*(u + 1)**4
Suppose 0 = -2*v - 4*m - 46 + 10, 4*v + 3*m + 97 = 0. Let n be v/(-12) + (-25)/15. Factor -n*f - 8/9 + 2/9*f**2.
2*(f - 4)*(f + 1)/9
Let a(r) be the third derivative of r**8/6720 + r**7/504 - r**6/90 - r**5/10 - 2*r**4/3 + 2*r**2 + 7*r. Let f(i) be the second derivative of a(i). Factor f(o).
(o - 2)*(o + 1)*(o + 6)
Let m(k) = -49*k**3 + 2*k**2 + 2*k - 4. Let s be m(-4). Factor -3192*u + 16 + 16 + s*u + 4*u**2.
4*(u - 8)*(u - 1)
Suppose 0 = -3*h - 2*u - 0 + 55, -u = -h + 15. Suppose h*w - 11*w = 24. Let -14/3*p - 2/9*p**4 - 2/9*p**2 + w + 10/9*p**3 = 0. What is p?
-2, 1, 3
Let u(p) = p**2 - 1. Let x(m) = -m - 11. Let v be x(-10). Let h = 52 - 32. Let y(t) = 25*t**2 - 5*t - 30. Let o(a) = h*u(a) + v*y(a). Factor o(r).
-5*(r - 2)*(r + 1)
Let u be 3219/5291 + 60/(-390). Find o, given that -17/11*o**2 - 6/11*o - 8/11*o**3 + u*o**4 + 2/11*o**5 + 0 = 0.
-3, -1, -1/2, 0, 2
Let b be 1000/1050 - (2 - 20/15). What is x in 2/7*x**4 + 12/7 - 2*x**2 - b*x**3 + 2/7*x = 0?
-2, -1, 1, 3
Let y(w) = -10*w**3 - 10*w**2 + 13*w + 13. Let u(l) = 10*l**3 + 8*l**2 - 14*l - 12. Let j(i) = 3*u(i) + 4*y(i). Solve j(q) = 0 for q.
-8/5, -1, 1
Let 1/2*h**2 - 61*h + 357/2 = 0. Calculate h.
3, 119
Suppose -2 = f + 6*m, -20*m + 7 = 2*f - 19*m. Determine a so that 0 - 12*a**3 + 0*a - 27/5*a**f - 12/5*a**2 = 0.
-2, -2/9, 0
Suppose 129 = -4*i + 137. Factor -21*h**i + 17*h**2 - h + 5*h.
-4*h*(h - 1)
Suppose -16 + 0 = -4*y. Factor -6*s**2 + s - 14*s**4 - 4*s + 3*s**5 + 9*s**4 + 11*s**y.
3*s*(s - 1)*(s + 1)**3
Let w(z) be the first derivative of z**5/3 - 35*z**4/12 - 15*z**3 - 145*z**2/6 - 50*z/3 + 3450. Solve w(f) = 0 for f.
-1, 10
Determine y so that 76/5*y**3 - 112/5 - 524/5*y**2 - 544/5*y + 168/5*y**4 = 0.
-7/6, -1, -2/7, 2
Let c(n) be the third derivative of 1/210*n**7 + 5*n**2 + 0*n**6 + 0*n**4 - 1/672*n**8 + 0*n**5 + 0*n**3 + 14*n + 0. Factor c(s).
-s**4*(s - 2)/2
Let o(h) = 25*h**3 - 265*h**2 - 2*h - 2. Let f(q) = -37*q**3 + 265*q**2 + 3*q + 3. Let u(n) = -4*f(n) - 6*o(n). Factor u(g).
-2*g**2*(g - 265)
Factor 7688*p - 16192*p + 7784*p - 105*p**2 - 1620 - 5*p**3.
-5*(p + 6)**2*(p + 9)
Let t(i) be the second derivative of -3*i - 1/20*i**5 + 0*i**2 + 2 + 1/6*i**3 - 1/30*i**6 + 1/12*i**4. Find c such that t(c) = 0.
-1, 0, 1
Let h(v) be the second derivative of v**6/210 + 3*v**5/70 - v**4/12 - 10*v**3/7 + 794*v. Factor h(z).
z*(z - 3)*(z + 4)*(z + 5)/7
Let g(n) be the second derivative of n**6/90 - 5*n**4/36 + 2*n**2/3 - 12*n + 39. Suppose g(x) = 0. Calculate x.
-2, -1, 1, 2
Suppose -27*t = -658 - 449. Factor -89*f**3 + 14*f**2 + 7*f**2 + t*f**3 - 9 + 39*f**3 + 21*f.
-3*(f - 3)*(f + 1)*(3*f - 1)
Let z(x) be the second derivative of x**4/6 - 241*x**3/3 + 2609*x. Let z(f) = 0. Calculate f.
0, 241
Let p(l) be the first derivative of 11/3*l**3 + 0*l**2 - 19 + 0*l - 1/72*l**6 - 5/6*l**4 + 1/6*l**5. Let w(m) be the third derivative of p(m). Factor w(t).
-5*(t - 2)**2
Determine n so that 132 - 37*n**4 - 939829*n**5 + 135*n**3 - 37*n**2 - 58*n**2 + 939830*n**5 - 136*n = 0.
-1, 1, 2, 33
Determine r so that -73 - 15 - 47 - 63*r + 3*r**3 + 3*r**2 = 0.
-3, 5
Let u(k) be the second derivative of k**7/60 + k**6/18 - 11*k**5/60 - k**4/2 + 187*k**3/6 - 18*k + 4. Let q(p) be the second derivative of u(p). Factor q(j).
2*(j - 1)*(j + 2)*(7*j + 3)
Suppose 191 = 7*w - 6977. What is m in 700*m**2 - 100*m - 28*m - 696*m**2 + w = 0?
16
Let b(l) = -l**3 + l**2 + l + 1. Let m(f) = 4*f**4 - 12*f**3 + 4*f**2 + 12*f + 24. Let v = -80 + 74. Let q = -22 - v. Let h(u) = q*b(u) + m(u). Factor h(n).
4*(n - 1)**2*(n + 1)*(n + 2)
Let -108 + 19*s**2 + 16*s**2 + 13*s**2 + 4*s**5 + 6*s**5 - 8*s**5 + 60*s**4 - 166*s + 164*s**3 = 0. Calculate s.
-27, -2, -1, 1
Let u be (1 - 2)*2*1 + -2. Let h(o) = 3*o**2 + 29*o + 2. Let r(b) = -2*b**2 - 30*b. Let z(x) = u*h(x) - 3*r(x). Factor z(q).
-2*(q + 4)*(3*q + 1)
Let i be (4 - 2)/(1/(-6))*1/(-6). Suppose 0 = 5*p - 8 - 97. Factor p*y**2 + 15*y + 3 - 3 - 11*y**i - 5*y**3.
-5*y*(y - 3)*(y + 1)
Let 278*v**2 + 1/2*v**4 + 0*v + 557/2*v**3 + 0 = 0. What is v?
-556, -1, 0
Let v(t) be the third derivative of t**5/40 + 133*t**4/144 + 31*t**3/9 - 1457*t**2. Solve v(l) = 0.
-124/9, -1
Let a = 789 - 784. Let r(k) = 159*k**2 - 30*k + 24. Let c(o) = 33*o**2 - 6*o + 5. Let p(y) = a*r(y) - 24*c(y). Factor p(n).
3*n*(n - 2)
Suppose -313*k + 0*k**3 - 274*k + 75*k**2 + 1260*k + 576 - 3*k**3 - 19*k = 0. Calculate k.
-6, -1, 32
Let s = 9130 - 9130. Let l(m) be the third derivative of 1/140*m**5 + 8/7*m**3 + 20*m**2 + 0*m - 1/7*m**4 + s. Factor l(o).
3*(o - 4)**2/7
Let j be (1 - -1) + -1 - -1835. Let g = 2689 - j. Suppose 2*z**4 + 3*z**2 - 2*z - g*z**3 + 855*z**3 - 5*z**2 = 0. What is z?
-1, 0, 1
Let b(j) be the first derivative of j**3 - 15*j**2 + 63*j + 13368. Factor b(n).
3*(n - 7)*(n - 3)
Let z(k) be the second derivative of -k**5/35 - 4*k**4/7 - 1047*k. Factor z(l).
-4*l**2*(l + 12)/7
Let d be (-1416)/59 - 6 - -32. Factor -21/2*a - 3/2*a**d - 18.
-3*(a + 3)*(a + 4)/2
Let s = 4546/7 + -64296/35. Let w = 1188 + s. Find z, given that 0*z + 6/5*z**3 - 2/5*z**2 + 0 + w*z**5 - 6/5*z**4 = 0.
0, 1
Let k be 0/((16/(-32))/(-8 + (-31)/(-4))). What is v in -3/7*v**4 + 18/7*v**3 + 0*v + k - 15/7*v**2 = 0?
0, 1, 5
Let p(g) be the second derivative of -g**4/4 - 83*g**3/2 - 243*g**2 - g + 65. What is n in p(n) = 0?
-81, -2
Solve 162*q**4 + 11121*q**2 + 5223 + 3455*q**2 + 55356*q**2 - 15792*q + 3814*q**3 - 4341 + 2954*q**3 = 0.
-21, 1/9
Let j(h) be the first derivative of h**6/18 + h**5/3 - 11*h**4/3 + 20*h**3/3 - 495. Suppose j(b) = 0. What is b?
-10, 0, 2, 3
Let r(z) be the first derivative of -5*z**4/4 - 5*z**3 + 135*z**2 + 1338. Factor r(f).
-5*f*(f - 6)*(f + 9)
Let n be 516/688*(2 - 1*-2). Let b(t) be the second derivative of 0 + 0*t**2 + 20*t - 1/110*t**5 - 1/165*t**6 + 0*t**n + 0*t**4. Factor b(d).
-2*d**3*(d + 1)/11
Let m(f) = 1195*f**2 - 20855*f + 6030. Let a(w) = -107*w**2 + 1896*w - 548. Let t(k) = 45*a(k) + 4*m(k). Factor t(z).
-5*(z - 54)*(7*z - 2)
Factor -2*w**2 + 644*w + 3*w**2 - 4620 - w**2 + 2*w**2 + 2670.
2*(w - 3)*(w + 325)
Let d(b) be the first derivative of -2*b**3/21 + 54*b**2/7 - 106*b/7 - 4954. Suppose d(m) = 0. What is m?
1, 53
Let y(m) be the third derivative of m**8/2688 - m**7/1008 - m**6/36 + m**5/4 - 3*m**4/4 - 57*m**2. Let q(x) be the second derivative of y(x). Factor q(h).
5*(h - 2)**2*(h + 3)/2
Let b = -22335838701/27142175 + 2/1085687. Let h = b - -823. Determine v, given that 128/25 + 32/25*v + h*v**2 = 0.
-8
Let z(c) be the first derivative of c**6/3 - 18*c**5 + 281*c**4/2 - 1166*c**3/3 + 498*c**2 - 304*c - 475. Find f such that z(f) = 0.
1, 4, 38
Let l(h) be the first derivative of -88*h**2 - 1936*h - 9 - 4/3*h**3. Factor l(n).
-4*(n + 22)**2
Let t(l) be the first derivative of -l**5 + 115*l**4/4 - 680*l**3/3 + 600*l**2 - 3396. Factor t(r).
-5*r*(r - 15)*(r - 4)**2
Let q(s) be the second derivative of 0 - 1/11*s**4 + 8/11*s**2 - 1/165*s**6 - 142*s - 1/22*s**5 + 4/33*s**3. Determine l, given that q(l) = 0.
-2, 1
Let k(d) = -1044*d - 12526. Let j be k(-12). Determine r, given that 0*r**3 - 2/3*r**5 + 5/3*r**j - 5/3*r**4 + 0 + 2/3*r = 0.
-2, -1, -1/2, 0, 1
Suppose -8 = 86*u - 90*u. Factor -44 + 0*m**u + 5*m**2 - 20*m + 20 - m**2.
4*(m - 6)*(m + 1)
Let i(v) = -v**2 - 20*v + 15. Let y be i(-18). Let q = y - 49. What is j in -3*j**q - 30*j**3 - 60*j + 8*j**4 + 20 + 68*j**2 - 3*j**4 = 0?
1, 2
Let a(m) be the second derivative of m**5/120 - 3*m**4/16 + 7*m**2/2 - 7*m + 4. Let x(s) be the first derivative of a(s). Factor x(y).
y*(y - 9)/2
Let n(a) = a**2 - 10*a + 3. Let q = 32 - 22. Let r be n(q). Factor 119*u**r - 12*u - 115*u**3 - 2 - 2 - 4.
4*(u - 2)*(u + 1)**2
Let q(z) be the first derivative of 0*z + 1/2*z**4 + 2/3*z**3 - 2*z**2 + 61. Find c such that q(c) = 0.
-2, 0, 1
Determine n so that -113/3*n**3 + 3*n**4 + 442/3*n**2 - 700/3*n + 392/3 = 0.
14/9, 2, 7
Let i(g) = 4*g**3 + 26*g**2 - 300*g - 12. Let v(r) = 5*r**3 + 22*r**2 - 300*r - 14. Let d(w) = -7*i(w) + 6*v(w). Factor d(m).
2*m*(m - 15)*(m - 10)
Let i = 93 + -75. Suppose 