+ 1/5*p**2 - 21 + f*p**3. Solve k(a) = 0.
-1, 0
Find n such that -347 - 6870*n**3 + 22203*n**2 - 1580*n + 181 + 206 - 735*n**3 - 6213*n**2 = 0.
2/39, 2
Let r(x) be the second derivative of x**5/150 + x**4/6 + 3*x**3/5 - 23*x**2 - 12*x. Let d(v) be the first derivative of r(v). Factor d(n).
2*(n + 1)*(n + 9)/5
Suppose 2 = 2*n + 2*k, -4*k - 11 + 3 = 0. Let t be 0 + 0*(-5)/10. Factor t*g**n + 81*g + 21*g**2 - 48*g**2 + 3*g**3 - 81.
3*(g - 3)**3
Suppose 66 - 66 = 2*k. Suppose 0 = 5*m - k - 10. Factor 15*n**2 + 10*n**m - n**3 - 28*n**2.
-n**2*(n + 3)
Let v be 4/10 + 40558/105. Let u = -386 + v. Suppose -14/3*i**2 + 0 - u*i**3 - 4*i = 0. What is i?
-6, -1, 0
Factor 281 + 1359*r**2 + 1770*r**3 - 1614*r - 1731*r**3 - 65.
3*(r - 1)*(r + 36)*(13*r - 2)
Let n(j) be the third derivative of j**6/360 + 31*j**5/30 + 121*j**4/8 + 90*j**3 + 4*j**2 - 11*j. Factor n(u).
(u + 3)**2*(u + 180)/3
Let g(h) be the first derivative of -4*h**2 - 33*h + 1/3*h**3 + 138. Solve g(p) = 0 for p.
-3, 11
Let m(l) be the first derivative of -2*l**3 + 2252*l**2 - 3000*l - 2138. Factor m(h).
-2*(h - 750)*(3*h - 2)
Let j(x) = 39*x + 26*x**2 + 20*x**2 + 24*x**2 - 69*x**2 + 41. Let v be j(-38). Factor 0*b + 0 + 4/9*b**2 + 4/9*b**v.
4*b**2*(b + 1)/9
Let s(a) be the first derivative of -10*a**3/9 - 316*a**2/3 - 42*a - 2008. Factor s(p).
-2*(p + 63)*(5*p + 1)/3
Let l(b) = -4*b**2 - 23*b - 34. Let w = -90 - -93. Let j(q) = 3*q**2 + 24*q + 31. Let m(o) = w*j(o) + 2*l(o). Determine c so that m(c) = 0.
-25, -1
Suppose -5 = -3*h + 10. Suppose r = -5*j + h*r + 4, 5 = j - 5*r. Factor 2/13*n**3 - 6/13*n**2 + j + 0*n.
2*n**2*(n - 3)/13
Determine m so that -936/7*m - 944/7 - 228/7*m**2 + 2/7*m**3 = 0.
-2, 118
Let h(j) be the second derivative of -2/3*j**3 - 53*j - 4*j**2 + 1/5*j**5 + 2/3*j**4 + 0. Determine v so that h(v) = 0.
-2, -1, 1
Let p(c) be the second derivative of -c**6/48 - 19*c**5/10 + 61*c**4/96 - 2217*c. Solve p(k) = 0.
-61, 0, 1/5
Let d(i) be the first derivative of -i**5 + 45*i**4/4 - 100*i**3/3 + 30*i**2 - 5551. Factor d(v).
-5*v*(v - 6)*(v - 2)*(v - 1)
Let r(v) be the third derivative of 69*v**2 + 1/392*v**8 + 4/245*v**7 + 0 + 0*v + 3/70*v**6 + 1/28*v**4 + 0*v**3 + 2/35*v**5. Find c, given that r(c) = 0.
-1, 0
Let l(k) be the first derivative of -4*k**3/9 + 108*k**2 + 1312*k/3 + 6486. Factor l(d).
-4*(d - 164)*(d + 2)/3
Let l(d) be the first derivative of 84*d**2 - 60*d - 94 - 27/4*d**4 - 33*d**3. Factor l(w).
-3*(w + 5)*(3*w - 2)**2
Suppose -30 = 2*l + 5*y + 5, 3*l + 5*y = -40. Let v be 1/((-2)/l + (-87)/(-45)). Find n such that v*n**4 + 0 + 3/7*n**2 + 0*n - 6/7*n**3 = 0.
0, 1
Let n be (-25 + 25)/(6 - 17 - -13). What is o in 2/13*o**4 + n + 0*o + 96/13*o**2 + 38/13*o**3 = 0?
-16, -3, 0
Factor 385*w**2 + 163 - 330 - 25*w + 167.
5*w*(77*w - 5)
Let m(a) = -a**2 + 7*a + 3. Let p be m(7). Let b be (-6)/9*3 - 6/(-1 + 20/(-25)). Let -b*g + 4/3*g**p + 8/3*g**2 - 8/3 = 0. What is g?
-2, -1, 1
Let n(o) be the second derivative of -o**4/108 - 104*o**3/9 - 5408*o**2 + 385*o. Factor n(b).
-(b + 312)**2/9
Factor -178895*z**2 + 25*z**4 + 12*z**3 + 178855*z**2 + 4*z**5 - z**4.
4*z**2*(z - 1)*(z + 2)*(z + 5)
Suppose -5*p + 2*l + 19 = 0, -2*l = -3*p - 6*l + 1. Let k be 10/p*(11 - 5). Determine y, given that -k + 16*y**2 + 7*y - 11*y**2 + 8*y = 0.
-4, 1
Let x(p) be the second derivative of -23/6*p**4 - 4*p**2 + 20/3*p**3 - 1 + 7/10*p**5 + 6*p. Let x(j) = 0. What is j?
2/7, 1, 2
Let y(f) = -6*f**2 - 1924*f + 86458. Let t(o) = -o**2 - 384*o + 17292. Let u(w) = -16*t(w) + 3*y(w). Factor u(b).
-2*(b - 93)**2
Determine u, given that -37*u**2 - 3240 + 44*u**2 - 530*u - 256*u - 137*u**2 - 339*u - 5*u**3 = 0.
-9, -8
Find w such that 1141 - 1582 + 781 + 911*w + w**2 + 570 = 0.
-910, -1
Let z be (-334)/((75 - 5)/(-7)). Let a = 1179/35 - z. Determine s so that 10/7*s**4 - 20/7*s**3 - 10/7*s - 2/7*s**5 + a + 20/7*s**2 = 0.
1
Let w(v) = 3*v**4 + 14*v**3 + 38*v**2 - 134*v + 81. Let b(i) = -2*i**4 + 5*i**3 + i**2 - 5*i - 1. Let k(j) = -4*b(j) - 4*w(j). Suppose k(a) = 0. Calculate a.
-16, -5, 1
Let v(r) be the first derivative of 2*r**3/27 + 38*r**2 - 686*r/9 + 2359. Find i, given that v(i) = 0.
-343, 1
Let c(q) = 9*q**4 + 182*q**3 + 342*q**2 + 169*q + 10. Let f(x) = 22*x**4 + 454*x**3 + 854*x**2 + 422*x + 24. Let i(r) = 12*c(r) - 5*f(r). Factor i(s).
-2*s*(s + 1)**2*(s + 41)
Let l be (-6)/(-11) - (41832/(-1232) + 33). Let 3*a**3 - l*a**5 + 0 + 0*a**2 + 0*a**4 - 3/2*a = 0. What is a?
-1, 0, 1
Let c(a) be the third derivative of -4/21*a**4 - 1/210*a**5 + 0 + 17/21*a**3 - 39*a**2 + 0*a. Let c(u) = 0. Calculate u.
-17, 1
Let s be (-8)/(-24)*-1*2/(-20). Let j(k) be the second derivative of 3/20*k**5 - 1/12*k**4 + 0*k**2 + 8*k + 0 + s*k**6 - 1/2*k**3. Factor j(h).
h*(h - 1)*(h + 1)*(h + 3)
Suppose 3*u - a = -7, 5*u - 4*a + 18 = 3*u. Let l(x) = -30*x - 27. Let s be l(u). Determine b so that 4/5*b**2 + 4/5*b**s + 0 - 8/5*b = 0.
-2, 0, 1
Let s = 211 + -282. Let x be -1 - (s/20 - (-7)/(-28)). Factor 6*d + 2/5*d**3 - x*d**2 - 18/5.
2*(d - 3)**2*(d - 1)/5
Let p(w) be the first derivative of -37 - 16/15*w - 14/45*w**3 - 1/30*w**4 - 14/15*w**2. Determine a, given that p(a) = 0.
-4, -2, -1
Let q = -499307 + 1497955/3. Factor 32/3*j + q - 2/3*j**2.
-2*(j - 17)*(j + 1)/3
Let f(s) be the second derivative of -s**6/135 - 61*s**5/90 - 893*s**4/54 + 1333*s**3/27 + 1922*s**2/3 - 1167*s. Suppose f(a) = 0. What is a?
-31, -2, 3
Suppose 0 = 34*u - 36*u + 6. Let -2*i**3 + i**u + i**3 + 2*i**2 + 2*i**3 = 0. What is i?
-1, 0
Let b(v) be the second derivative of 4*v**5/5 - 49*v**4/3 - 80*v**3/3 + 26*v**2 + 64*v - 2. Factor b(d).
4*(d - 13)*(d + 1)*(4*d - 1)
Let v = 79 + -75. Let t = 2113/4 - 528. Find k such that -t*k**v - 3/4*k**3 - 1/2*k + 0 + 5/4*k**2 + 1/4*k**5 = 0.
-2, 0, 1
Suppose -319*z = -315*z + 4*w + 72, 0 = -3*z - 2*w - 34. Factor 1/2*n**5 - 3*n**4 + 0 - 9/2*n + 4*n**3 + 3*n**z.
n*(n - 3)**2*(n - 1)*(n + 1)/2
Let b(f) be the first derivative of f**4 - 280*f**3 + 29400*f**2 - 1372000*f - 61. Factor b(k).
4*(k - 70)**3
Let m(y) be the third derivative of -y**7/840 - 227*y**6/60 - 51529*y**5/10 - 11697083*y**4/3 - 5310475682*y**3/3 + 476*y**2 + 3*y. Solve m(p) = 0 for p.
-454
Let v(w) be the first derivative of 5/3*w**3 - 30*w**2 + 65 + 0*w. Let v(q) = 0. What is q?
0, 12
Factor -133/5*q - 134/5 + 1/5*q**2.
(q - 134)*(q + 1)/5
Let a(o) be the second derivative of -o**4/6 + 1130*o**3/3 - 1129*o**2 + 1676*o. Factor a(m).
-2*(m - 1129)*(m - 1)
Find w, given that 298*w + 119/4*w**2 + 5 = 0.
-10, -2/119
Let f(k) = k**5 - k**3 - k**2 + k - 1. Let p(h) = 0*h**4 + 260*h - 3*h**2 - 258*h - h**4 - 4 - h**3 + 3*h**5. Let q(w) = -4*f(w) + p(w). Factor q(t).
-t*(t - 1)**2*(t + 1)*(t + 2)
Factor 617*z**2 + 1/6*z**3 + 761378*z + 939540452/3.
(z + 1234)**3/6
Let b(x) be the third derivative of x**6/60 - 231*x**5/10 + 39905*x**4/4 + 120409*x**3/3 + 46*x**2. Factor b(a).
2*(a - 347)**2*(a + 1)
Let z = 619 - 1196. Let x = z - -4055/7. Factor -20/7*y**3 + 4/7*y**4 + 32/7*y**2 + 0 - x*y.
4*y*(y - 2)**2*(y - 1)/7
Let n(w) = w**2 - 85*w - 352. Let j be n(-4). Let f(u) be the first derivative of 0*u**2 + 3*u**3 - 15 - 3/4*u**j + 0*u. Factor f(q).
-3*q**2*(q - 3)
Let o be 3/27*285/76. Let b(k) be the second derivative of -o*k**2 + 1/6*k**3 + 0 + 8*k - 1/72*k**4. Factor b(s).
-(s - 5)*(s - 1)/6
Let i(d) be the first derivative of 3*d**5/25 + 3*d**4/20 - 6*d**3/5 - 10287. Factor i(c).
3*c**2*(c - 2)*(c + 3)/5
Let b(s) be the third derivative of s**8/112 - 9*s**7/70 + 17*s**6/40 + 9*s**5/20 - 9*s**4/4 + 4*s**2 - 251. Let b(u) = 0. What is u?
-1, 0, 1, 3, 6
Let z(c) be the second derivative of c**4/12 - 17*c**3/3 + 1527*c. Find j, given that z(j) = 0.
0, 34
Let i(w) be the third derivative of w**8/1512 + 29*w**7/945 + 29*w**2 - 13. Solve i(x) = 0.
-29, 0
Factor 315*z - 33965569 + 33965569 + 114*z**2 + 3*z**3.
3*z*(z + 3)*(z + 35)
Let o(v) be the first derivative of -3/4*v**4 + 132 + 6*v**2 - 3/5*v**5 + 4*v**3 + 0*v. Factor o(f).
-3*f*(f - 2)*(f + 1)*(f + 2)
Let x(d) be the first derivative of 28*d**3/9 + 25*d**2/9 - 4*d/9 + 2375. Factor x(n).
2*(3*n + 2)*(14*n - 1)/9
Let z(i) be the first derivative of 0*i - 4/9*i**3 + 2/3*i**2 + 1/12*i**4 - 158. Factor z(u).
u*(u - 2)**2/3
Let d(c) be the third derivative of 0*c + 88*c**2 - 2/75*c**6 + 2/525*c**7 + 0*c**3