82 = 29*r. Let q be 1452/r - 8/18. Factor 0 - 2/17*n - 2/17*n**q.
-2*n*(n + 1)/17
Let a(t) = -7*t**2 + 747*t - 6596. Let w be a(97). Factor -1/8*v**2 + 3/2*v + w.
-v*(v - 12)/8
Suppose 1 = 3*w - 2*a, w - 3*a - 2 = 3. Let z be ((-9)/(108/32))/w. Solve -z*d**2 + 2*d - 1/3*d**4 + 3 - 2*d**3 = 0 for d.
-3, -1, 1
Let c(o) be the second derivative of 0*o**2 + 5 - 4/15*o**6 + 0*o**3 + 51/10*o**5 + 11*o + 13/6*o**4. Factor c(u).
-2*u**2*(u - 13)*(4*u + 1)
Suppose 0 = -2*f + 4*a, -f = a - 0 - 3. Let c = 31217 + -31214. Determine z, given that 8/3 + 4/3*z**4 + 4/3*z - 4*z**f - 4/3*z**c = 0.
-1, 1, 2
Let g = 424 + -422. Suppose g*r + 5*z = -7, -21*z + 23*z = 3*r - 37. Let -64/3*q**3 - 48*q**2 - 36*q - r = 0. Calculate q.
-3/4
Find y such that 10/7*y**3 - 4/7*y + 0 - 6/7*y**2 = 0.
-2/5, 0, 1
Let w = 0 + 0. Let n be (-4571)/(-9142)*(45/(-20))/(2/((-12)/9)). Factor -n*c**3 + w*c - 3/2*c**2 + 0.
-3*c**2*(c + 2)/4
Suppose 18*u - 33 = 3. Let x(n) = 3*n**3 + 27*n**2 + 4*n + 2. Let z(m) = -6*m**3 - 54*m**2 - 10*m - 5. Let d(l) = u*z(l) + 5*x(l). Find q such that d(q) = 0.
-9, 0
Let b(w) = -17*w**2 + 290*w - 15. Let x(o) = o**2 + 38*o - 298. Let p be x(-45). Let y be b(p). Factor 10/7*u**2 - 26/7*u + 2/7*u**3 + y.
2*(u - 1)**2*(u + 7)/7
Let x(u) be the second derivative of -1/21*u**7 - 1/6*u**3 - 9/20*u**5 + 0*u**2 + 0 + 7/30*u**6 + 58*u + 5/12*u**4. What is w in x(w) = 0?
0, 1/2, 1
Let k be (-40)/(-64) - 4020/7200. Let n(x) be the third derivative of -6*x**2 + 200/3*x**3 + 10/3*x**4 + k*x**5 + 0*x + 0. Find z such that n(z) = 0.
-10
Let j(v) = -7*v**3 + 2095*v**2 + 597*v + 135. Let i(n) = -7*n**3 + 2097*n**2 + 598*n + 108. Let f(y) = -5*i(y) + 4*j(y). Factor f(w).
w*(w - 301)*(7*w + 2)
Let w = 9398 - 9393. Let g(l) be the first derivative of 5/3*l**3 - w*l**2 + 0*l - 2. Factor g(c).
5*c*(c - 2)
Suppose a + 5*k = -7 - 0, 0 = a + 2*k + 22. Let j = 43 + a. Solve -6*x**3 - 4*x**3 + j*x**3 - 3*x**2 + 2*x**2 = 0 for x.
0, 1
Let j be 20 - (-28 - (-2728)/66). Determine k so that 50/9*k + 0 + j*k**2 + 2*k**3 = 0.
-5/3, 0
Let d = 2 - -1. Suppose 0 = -3*t + 4*a + 11 + 168, d*a - 91 = -2*t. Factor 55*l**3 + t*l**3 + 12*l**2 - 105*l**3.
3*l**2*(l + 4)
Solve 42*q**4 - 523*q**2 + 2440 + 604*q**3 - 557*q**2 - 750*q**2 - 18*q**4 - 22*q**4 + 8*q = 0.
-305, -1, 2
Let g(d) be the second derivative of -2*d**6/75 + 9*d**5/50 + 6*d**4/5 - d**3/15 - 42*d**2/5 + d + 1998. Suppose g(v) = 0. What is v?
-2, -3/2, 1, 7
Suppose -12/11*k**4 + 2/11*k + 2/11*k**5 - 60/11 + 72/11*k**2 - 4/11*k**3 = 0. What is k?
-2, -1, 1, 3, 5
Factor 3/7*p**3 + 8889/7*p**2 + 6588969/7*p + 6580083/7.
3*(p + 1)*(p + 1481)**2/7
Let 0 - 14/3*f**5 - 230*f**2 + 108*f - 430/3*f**4 - 1430/3*f**3 = 0. Calculate f.
-27, -3, -1, 0, 2/7
Let h(t) = 29*t**3 - t + 1. Let c(g) = -30*g**3 + 974*g**2 - 1944*g + 971. Let n(o) = 3*c(o) + 3*h(o). Let n(v) = 0. Calculate v.
1, 972
Factor 1504*m + 18*m**2 + 141376 - 4*m**2 - 10*m**2.
4*(m + 188)**2
Let v(p) = 2*p**5 - 60*p**4 + 134*p**3 - 38*p**2 - 196*p + 88. Let q(a) = a**4 + 6*a. Let k(z) = -20*q(z) - 2*v(z). Suppose k(s) = 0. What is s?
-1, 1, 2, 22
Let 661*h + 27 - 3832 - 461 + 5*h**3 - 2579 - 375*h**2 + 6554*h = 0. What is h?
1, 37
Let n be (3 - (-3)/9)*22/(440/12). Determine v so that 10*v + 12 - 1/2*v**3 + v**n = 0.
-2, 6
Let p be -16 - 3220/(-168) - 2. Factor -p + 4/3*v - 1/6*v**2.
-(v - 7)*(v - 1)/6
Let c = 4/1523 - 33534/10661. Let d = 166/35 + c. Factor d*m**2 + 12/5*m**3 + 8/5*m**4 + 2/5*m + 0 + 2/5*m**5.
2*m*(m + 1)**4/5
Let b = 86671/385 - 2066/35. Let w = -166 + b. Suppose 2/11 + 1/11*z - w*z**3 - 2/11*z**2 = 0. Calculate z.
-2, -1, 1
Let b(u) be the third derivative of -u**6/40 + u**5/5 + 29*u**4/2 - 120*u**3 - 1925*u**2. What is w in b(w) = 0?
-10, 2, 12
Let p(l) be the first derivative of l**6/2 - 9*l**5 + 54*l**4 - 108*l**3 - 390. Factor p(k).
3*k**2*(k - 6)**2*(k - 3)
Find r such that 235*r - 3 + 1226*r - 22792*r**2 + 22789*r**2 + 3 = 0.
0, 487
Factor 65*z**2 + 2678 + 173*z - 43*z - 2878 - 3*z**3 + 3*z**3 + 5*z**3.
5*(z - 1)*(z + 4)*(z + 10)
Factor -2/5*f**5 + 0*f - 62*f**3 + 158/5*f**4 + 0 + 154/5*f**2.
-2*f**2*(f - 77)*(f - 1)**2/5
Let t(z) = 4*z**2 + 3948*z - 649446. Let s(f) = -5*f**2 - 5922*f + 974169. Let d(i) = -5*s(i) - 7*t(i). Find q, given that d(q) = 0.
329
Let a(i) be the third derivative of -i**7/245 + 19*i**6/280 - 8*i**5/35 - 3*i**4/8 - 12*i**2. Let a(x) = 0. Calculate x.
-1/2, 0, 3, 7
Solve -170*m + 44*m**2 + 168 - 1/2*m**3 = 0.
2, 84
Suppose 2*s - 4 = 2*h, 2 = 5*s - 3*h - 10. Let -2*y**5 - 24*y**4 + 160*y + 451*y**3 + 407*y**3 - 48*y**2 - 944*y**s = 0. Calculate y.
-5, -4, 0, 1
Let g(j) be the first derivative of -20*j**2 - 39 + 52/3*j**3 - 2*j**4 - 4/5*j**5 + 0*j. Factor g(n).
-4*n*(n - 2)*(n - 1)*(n + 5)
Let k(x) be the first derivative of 0*x - 5/4*x**4 + 4/5*x**5 + 2/3*x**3 + 0*x**2 - 1/6*x**6 + 78. Factor k(v).
-v**2*(v - 2)*(v - 1)**2
Find m such that 2*m**5 + 336 - 641*m + 336*m**4 + 645*m - 8*m**3 - 672*m**2 + 2*m**5 = 0.
-84, -1, 1
Let o(h) = -14*h**2 - 1378*h + 2776. Let a(k) = 6*k**2 + 551*k - 1111. Let g(u) = 12*a(u) + 5*o(u). Factor g(d).
2*(d - 137)*(d - 2)
Suppose -v - 5 = -q - 0*v, q + 5*v + 7 = 0. Factor 0*m**4 + q*m**4 - 3*m**2 + 15*m**3 + 6*m - 21*m.
3*m*(m - 1)*(m + 1)*(m + 5)
Suppose 5*q + 3308 = 2*z, -569 - 1418 = 3*q + z. Let j = q - -664. Suppose 0 - 6/5*x + 3/5*x**j = 0. What is x?
0, 2
Let w(g) be the second derivative of -4/39*g**4 + 0*g**2 + 4/39*g**3 + 57*g + 0 + 3/130*g**5. Factor w(u).
2*u*(u - 2)*(3*u - 2)/13
Let v be 3042/(-53235)*7/(-3). Factor 34/15*s + 12/5 - v*s**2.
-2*(s - 18)*(s + 1)/15
Let k be (-37)/111 + (-2)/(-6). Let x be (k - -5) + -1 + (-4342)/1169. Factor -2/7*n**5 + 2/7*n**3 - 2/7*n**2 + 0*n + 0 + x*n**4.
-2*n**2*(n - 1)**2*(n + 1)/7
Suppose 4*z - 134 = -5*t, 144 = 4*t - z + 20. Factor t*p**3 - 12*p**5 - 15*p**4 + 4*p**5 - 105*p + 50*p**2 + 3*p**5 + 45.
-5*(p - 1)**3*(p + 3)**2
Let k = 953696 - 953692. Suppose -8/11*p**k - 82/11*p**3 - 158/11*p - 204/11*p**2 - 28/11 = 0. Calculate p.
-7, -2, -1, -1/4
Let f be ((-720)/(-42))/(187/(-63) - -3). Let b be f/70 + -2 + -2. Let -26/7*z + 22/7*z**2 - 10/7*z**4 + b*z**3 - 12/7 = 0. What is z?
-1, -2/5, 1, 3
Suppose -3*r = -289 + 46. Find a such that 3*a**5 + 43 + 4*a**2 + r*a**3 - 30*a**4 - 84*a + 29 - 46*a**2 = 0.
-1, 1, 2, 6
Factor 182408/3*c - 1208/3*c**2 + 0 + 2/3*c**3.
2*c*(c - 302)**2/3
Let z(g) be the third derivative of g**10/15120 + g**9/2520 - g**7/315 + g**4/6 - 2*g**2 - 11. Let j(u) be the second derivative of z(u). What is q in j(q) = 0?
-2, 0, 1
Let q(l) be the third derivative of -l**8/672 - l**7/7 - 23*l**6/4 - 380*l**5/3 - 1680*l**4 - 13824*l**3 + 3*l**2. Let q(r) = 0. Calculate r.
-18, -8
Suppose 1040 - 10912/3*v - 16/3*v**3 - 6268/3*v**2 = 0. Calculate v.
-390, -2, 1/4
Let x(m) be the third derivative of 1/80*m**6 + 1/140*m**7 - 33*m**2 + 0*m + 0*m**3 - 1/16*m**4 + 0 - 1/40*m**5. Suppose x(z) = 0. What is z?
-1, 0, 1
Factor -6*o**4 - 7*o**4 + 304*o**3 + 20*o**4 - 10368 - 3176*o**2 - 5*o**4 + 3827*o + 6477*o.
2*(o - 4)**2*(o - 2)*(o + 162)
Let h(c) be the first derivative of 5*c**6/6 - 110*c**5 + 6355*c**4/2 + 136040*c**3/3 + 116525*c**2/2 - 870250*c + 10941. Solve h(a) = 0.
-5, 2, 59
Let s(a) be the third derivative of -a**6/40 + 359*a**5/140 - 197*a**4/14 + 14*a**3 - 2620*a**2. Suppose s(t) = 0. Calculate t.
2/7, 2, 49
Let o(d) = -d**3 + d**2 + 5*d - 7. Let t be o(0). Let z be t - ((-96)/14 + -1). Factor z + 6/7*m**3 - 9/7*m**2 - 9/7*m.
3*(m - 2)*(m + 1)*(2*m - 1)/7
Determine j, given that -5/2*j + 1/4*j**2 - 6 = 0.
-2, 12
Let v(y) be the third derivative of 0*y**3 - 2/75*y**5 + 1/525*y**7 - 1/15*y**4 + 0*y - 6 + y**2 + 1/300*y**6. Factor v(w).
2*w*(w - 2)*(w + 1)*(w + 2)/5
Let a(g) = 13*g**2 - 53*g + 479. Let p(n) = 5*n**2 - 27*n + 242. Let j(v) = 4*a(v) - 10*p(v). Determine c so that j(c) = 0.
-36, 7
Let g be (-31 + 16 + 35)/1. Let g*s - 550 - 2/11*s**2 = 0. What is s?
55
Let p(n) be the first derivative of 0*n - 1/10*n**4 + 1/5*n**2 + 0*n**3 + 50. Solve p(x) = 0.
-1, 0, 1
Let j(u) = -20*u**4 + 369*u**3 - 3558*u**2 - 3969*u - 22. Let i(g) = 7*g**4 - 123*g**3 + 1185*g**2 + 1323*g + 8. Let r(o) = 11*i(o) + 4*j(o). Factor r(v).
-3*v*(v - 21)**2*(v + 1)
Suppose 52*c = 22*c + 60. Factor 35*x**3 - 20*x**4 - 763 - 15*x**c + 763.
-5*x**2*(x