+ 6*p + x*p**4 + 4*p**3 + p**3 + 4*p**3 - 3*p**5 = 0.
-2, 0, 1
Suppose -3*n = s - 2, 4*n + 14 = 2*s - 0*n. Suppose -s*m + 16 = 6. Factor 39*y**m - y**3 - 84*y**2 + 44*y**2.
-y**2*(y + 1)
Let c(y) be the second derivative of y**5/80 + 47*y**4/12 + 182*y**3/3 + 360*y**2 + 6017*y. Factor c(b).
(b + 4)**2*(b + 180)/4
Let t(p) be the second derivative of -16*p**2 + 1/42*p**7 - 16/3*p**3 - 58*p + 0 + 31/20*p**5 + 11/6*p**4 + 1/3*p**6. Let t(o) = 0. Calculate o.
-4, -2, -1, 1
Suppose -7337*g + 8737 = -744 - 5193. Find y such that 69*y + 27/2 + 303/8*y**g + 27/8*y**3 = 0.
-9, -2, -2/9
Let u(c) be the second derivative of 2*c**7/21 - 2*c**6/3 - 93*c**5/5 + 101*c**4/3 + 184*c**3/3 - 192*c**2 - 1015*c. Determine l so that u(l) = 0.
-8, -1, 1, 12
Let x(v) = 6*v**2 - 11*v - 9. Let l be x(-1). Let q be (-3)/6*l/(-20). Suppose 1/5*s**3 + 0*s**2 - q*s + 0 = 0. What is s?
-1, 0, 1
Factor -38*s**3 + 7*s**3 + 7*s**3 + 2*s**3 + 4*s**5 + 18*s**3.
4*s**3*(s - 1)*(s + 1)
Factor -4280330*c + 4949536*c - 3938*c**2 + 3*c**3 - 4423*c**2 + 0*c**3 - 2405295267 + 7098163*c.
3*(c - 929)**3
Let a(j) be the second derivative of 1/60*j**5 + 0*j**4 - 11/2*j**2 + 0*j**3 + 0 - 20*j. Let b(o) be the first derivative of a(o). Solve b(h) = 0.
0
Let z(t) = -t**3 - 2*t**2 + t + 12. Let n be z(-6). Let g be (2/(-4))/((-25)/n). Factor g*a**2 + 4*a + 14*a - 6*a.
3*a*(a + 4)
Let y(b) = -14*b**2 - 66*b + 23. Let f be y(-5). Find s, given that s**2 + 1/4*s**f + 8 - 7*s = 0.
-8, 2
Let s be (64 + -2)/((-14)/(-21)). Factor 392*b + 195*b**3 + 514*b**2 + s*b**3 + 20*b**4 + 578*b**2.
4*b*(b + 7)**2*(5*b + 2)
Let b be (-1)/((6 + -5)*2/6). Let q be (-1*1)/(b*(-4)/(-276)). Factor -q*l**2 + 8*l**4 - 6*l**5 + 2*l**5 + 15*l**2 + 4*l.
-4*l*(l - 1)**3*(l + 1)
Suppose 207*m + 514*m = 0. Find a, given that 2/15*a**5 - 4/15*a**4 + 0*a**2 - 2/5*a**3 + m + 0*a = 0.
-1, 0, 3
Let b(o) be the third derivative of o**7/630 + 7*o**6/60 - 7*o**4/8 + o**3/6 - 88*o**2. Let a(u) be the second derivative of b(u). Suppose a(i) = 0. What is i?
-21, 0
Let y(l) be the third derivative of -27/4*l**4 + 0 - 11/60*l**6 + 39*l**2 + 1/105*l**7 + 18*l**3 + 3/2*l**5 + 0*l. Solve y(q) = 0.
2, 3
Let h(q) be the third derivative of q**5/210 - 31*q**4/42 - 65*q**3/7 - 2*q**2 - 832. Factor h(w).
2*(w - 65)*(w + 3)/7
Let q(s) be the third derivative of -s**8/168 + 128*s**7/105 + 87*s**6/10 + 394*s**5/15 + 527*s**4/12 + 44*s**3 - 11*s**2 - 279*s. Factor q(h).
-2*(h - 132)*(h + 1)**4
Let 6/19*x**2 + 0 + 2/19*x**3 + 2/19*x**5 - 6/19*x**4 - 4/19*x = 0. What is x?
-1, 0, 1, 2
Solve 13654/17*s + 1138/17 - 72/17*s**3 + 40944/17*s**2 = 0.
-1/6, 569
Solve -764*b**2 - 11*b**4 + 18822*b**3 + 13*b**4 - 19072*b**3 - 512*b = 0 for b.
-2, -1, 0, 128
Let b be (-3)/((-9)/(-2))*(65 + -2066). Solve 1341*n**3 + b*n**3 - 34*n**2 - 2681*n**3 + 10*n**2 + 3*n**4 = 0.
-2, 0, 4
Let b(s) be the second derivative of -s**6/15 - 33*s**5/10 - 175*s**4/6 + 551*s**3 - 1444*s**2 + 1543*s. Factor b(v).
-2*(v - 4)*(v - 1)*(v + 19)**2
Let i(w) be the first derivative of -3*w**5/5 - 3*w**4/4 + 182*w**3 + 1113. Determine s, given that i(s) = 0.
-14, 0, 13
Suppose 0 = 3*k + 4*u + 10, k = -2*u - 4. Let d be -1 - ((-10)/3 - k). Factor -d*i**3 - 1/3*i**4 + 0*i + 0 + 0*i**2.
-i**3*(i + 1)/3
Let s be (58/18 - 3)*9*59. Let 77 + 38*w**2 + 198*w + 18 + s - 51 + 2*w**3 = 0. Calculate w.
-9, -1
Let d be (1/(-2))/((-2)/48). Let z be ((-8)/4 - -6)*8/16. Determine t, given that -4*t**3 + 183*t**z - 179*t**2 + 4*t + 16*t + d = 0.
-1, 3
Let u = 14899/2 - 7449. Let n(f) be the second derivative of 2*f + 0 + u*f**3 + 1/24*f**4 + 5/4*f**2. Find t such that n(t) = 0.
-5, -1
Let n be 24/(-60) - (-34)/10. Suppose 12 = 3*h, 4*h = -0*f - n*f + 22. Find k such that -10*k**2 - 4*k - 5*k**f + 15*k**2 - 2*k**2 = 0.
-2, 0
Suppose -20 - 4 = -8*g. Factor 10*a**2 + 5 - 30*a**2 - 21 + g*a**3 - a**3 + 34*a.
2*(a - 8)*(a - 1)**2
Suppose -2*c - 5*o + 7*o + 10 = 0, -5*c - o + 7 = 0. Suppose -c*r + 7*r = 10. Suppose 11*m**2 + 7*m**r - 34*m**2 - 5*m**3 + 20 + m**2 = 0. Calculate m.
-2, 1
Let y be ((-22440)/(-2288))/((-30)/(-195)). Find g, given that -25/2*g - 10 + y*g**2 + 35/4*g**4 - 50*g**3 = 0.
-2/7, 1, 4
Let q be ((-12)/6)/((-14)/36). Factor -q*i + 3/7*i**2 + 108/7.
3*(i - 6)**2/7
Suppose 12/7*f**2 - 4/7*f**3 + 0 - 8/7*f = 0. What is f?
0, 1, 2
Let m be ((-7007)/(-252))/(-7) + 3 + 1. Let p(g) be the second derivative of -m*g**3 - 1/72*g**4 + 0*g**2 + 18*g + 0. Factor p(t).
-t*(t + 1)/6
Let i(n) be the third derivative of n**7/420 + 2*n**6/45 + 4*n**5/15 - 257*n**3/6 + 130*n**2. Let h(w) be the first derivative of i(w). What is o in h(o) = 0?
-4, 0
Let o(w) be the third derivative of w**5/60 + 27*w**4/8 - 170*w**3/3 + 107*w**2 - 2*w. Suppose o(v) = 0. Calculate v.
-85, 4
Factor 7272/17 + 2/17*f**3 + 1810/17*f**2 - 7264/17*f.
2*(f - 2)**2*(f + 909)/17
Let k(t) = -t**3 - 8*t**2 + 8*t - 2. Let z(f) = f. Let x(n) = -k(n) + 3*z(n). Let u(s) = -6*s**3 - 33*s**2 + 21*s - 9. Let w(g) = -2*u(g) - 9*x(g). Factor w(a).
3*a*(a - 1)**2
Let u(q) be the third derivative of -29*q**5/12 + 195*q**4/16 - 5*q**3/6 - 1005*q**2. Determine k, given that u(k) = 0.
1/58, 2
Let a(t) be the second derivative of t**5/110 - 299*t**4/66 + t - 885. Solve a(s) = 0 for s.
0, 299
Let r = 1088133 - 1088131. What is u in 1/7*u**r + 13/7*u - 48/7 = 0?
-16, 3
Let b(v) be the third derivative of -v**5/15 - 193*v**4/6 - 128*v**3 + 135*v**2 - 1. Factor b(k).
-4*(k + 1)*(k + 192)
Let r(q) be the first derivative of -50/7*q**2 + 0*q - 1/28*q**4 + 20/21*q**3 - 89. Let r(a) = 0. What is a?
0, 10
Let -2/3 - 2/3*s**2 + 4/3*s = 0. Calculate s.
1
Let l(s) be the third derivative of s**6/30 - 65*s**5/12 + 27*s**4/8 + 2731*s**2. Factor l(p).
p*(p - 81)*(4*p - 1)
Let q be 17*16/952 + -11*2/(-70). Determine r, given that q*r + 0 + 3/5*r**2 = 0.
-1, 0
Suppose n + 0*n - 37 = m, 4*n - 84 = 2*m. Let z = m + 37. Factor 3*l**3 - 24 - z*l**2 + 24 + 2*l**2.
3*l**2*(l - 1)
Let g = -85/8 + 329/8. Let s = g - 29. Solve -1/6*u**2 - u - s = 0 for u.
-3
Let s(q) be the third derivative of -q**6/30 - 2223*q**5/5 - 4941729*q**4/2 - 7323642378*q**3 - 3748*q**2. Factor s(v).
-4*(v + 2223)**3
Let d(u) = 7*u + 484. Let i be d(-35). Let r = i + -2149/9. Factor r*b**5 + 16/9*b**4 + 10/9*b + 0 + 32/9*b**2 + 4*b**3.
2*b*(b + 1)**3*(b + 5)/9
Let f = -7 - -37. Determine d so that -14 - 15 - f*d - 2*d**2 + 16 - 15 = 0.
-14, -1
Let f be 544/(-6) + (-16)/3 + 5. Let t = f + 94. Factor -5*r**t + 8*r**2 - 6 + 9*r**3 + 2 - 4*r - 4.
4*(r - 1)*(r + 1)*(r + 2)
Factor 37799*m - m**2 - m**2 - 18221*m - 18168*m.
-2*m*(m - 705)
Find n, given that -4/5*n - 1/5*n**4 + 4/5*n**3 - 1 + 6/5*n**2 = 0.
-1, 1, 5
Let u be (-48)/(-23) - 200/2300. Let b(y) be the first derivative of 5/3*y**3 - 25/2*y**u + 38 - 30*y. Factor b(p).
5*(p - 6)*(p + 1)
Let q = 87867 + -614997/7. Let q*y**2 + 13824/7 + 1728/7*y + 1/7*y**3 = 0. What is y?
-24
Let x(i) = -i**2 - 72*i + 319. Let d(u) be the first derivative of 320*u - 1 - 11*u**2 - 25*u**2 - 1. Let g(q) = 5*d(q) - 4*x(q). Find r such that g(r) = 0.
9
Let q(c) be the first derivative of -4*c**3/15 + 12*c**2 + 396*c/5 + 1033. Factor q(t).
-4*(t - 33)*(t + 3)/5
Let w(n) be the first derivative of n**4/16 - 10*n**3/3 - 83*n**2/8 - 21*n/2 - 1645. Factor w(s).
(s - 42)*(s + 1)**2/4
Suppose 5 = -d + 6. Let u = d + 2. Suppose -2*p**3 - p**4 + 3*p**2 - 6*p + u*p + 3*p = 0. What is p?
-3, 0, 1
Let p(s) be the third derivative of s**4/3 - 40*s**3/3 + 9*s**2 + 6*s. Let r be p(10). Solve -8/3*k - 4/3*k**5 + r + 4/3*k**2 - 4/3*k**4 + 4*k**3 = 0 for k.
-2, -1, 0, 1
Let j(k) be the first derivative of 2*k**5/25 + 8*k**4/5 + 26*k**3/3 + 10*k**2 - 745. Factor j(v).
2*v*(v + 1)*(v + 5)*(v + 10)/5
Let m = -168 - -171. Solve -27*t**m + 2*t**2 + 3*t**4 - 12*t + 36*t**3 - 2*t**2 = 0.
-2, 0, 1
Let i be (-256)/(-20)*35/2. Suppose -3*y - 125 = -131. Solve i*r**2 - r**3 - 224*r**y = 0 for r.
0
Let -11/2*a**2 - 105/4*a - 36 - 1/4*a**3 = 0. What is a?
-16, -3
Let r(m) be the third derivative of -m**6/24 - 43*m**5/6 + 460*m**4/3 - 3760*m**3/3 + 408*m**2 - m - 4. Factor r(f).
-5*(f - 4)**2*(f + 94)
Let d(n) be the second derivative of n**6/90 - 53*n**5/15 + 2809*n**4/6 + 59*n**3/2 + 213*n. Let i(p) be the second derivative of d(p). Factor i(f).
4*(f - 53)**2
Let p(y) be the first derivative of -2*y*