
5*(b + 1)*(b + 4)
Let d(k) = -118*k**4 + 768*k**3 - 831*k**2 + 308*k - 40. Let l(u) = u**4 - u**3 - 3*u**2. Let m(z) = 4*d(z) - 28*l(z). Determine v, given that m(v) = 0.
2/5, 5
Factor 60/7*j + 4/7*j**5 + 8/7*j**2 - 64/7*j**3 - 32/7 + 24/7*j**4.
4*(j - 1)**3*(j + 1)*(j + 8)/7
Let v be 12/8 - 9305/30. Let a = v - -310. Factor -4/3 - 1/3*h**2 + a*h.
-(h - 2)**2/3
Let n be ((-15)/(-9) - 0) + (-33)/(-99). Determine h, given that 4/7 + 2/7*h**n - 6/7*h = 0.
1, 2
Suppose -5*f - 22 = -4*g + 1, -5*g + 2*f + 33 = 0. Let l be (14/20)/(14/735*g). Solve 2*x - 2*x**4 + 0 + 1/4*x**5 + l*x**3 - 11/2*x**2 = 0.
0, 1, 2, 4
Factor -576*v**4 + 364*v**4 + 214*v**4 + 64*v - 64 - 14*v**3 + 12*v**2.
2*(v - 4)**2*(v - 1)*(v + 2)
Suppose 743 = -4*v + 803. Find o such that 2*o**5 - 3*o**2 - 18*o - 5*o**3 + 21*o**3 + v*o**2 - 12*o**4 = 0.
-1, 0, 1, 3
Suppose -128/7*l**3 - 12800/7 - 2560*l - 2/7*l**5 - 5312/7*l**2 + 62/7*l**4 = 0. Calculate l.
-4, -1, 20
Let k be 5/(-320)*-24 - (-5 - (-109)/56). Factor 36/7 + k*v + 3/7*v**2.
3*(v + 2)*(v + 6)/7
Factor -282 - 567/2*u - 3/2*u**2.
-3*(u + 1)*(u + 188)/2
Suppose -300373*r = -300443*r + 140. Solve 22/13*v - 4 + 2/13*v**r = 0.
-13, 2
Let d(j) be the third derivative of -j**5/12 + 1975*j**4/12 + 3955*j**3/6 + 25*j**2 + 93. Factor d(x).
-5*(x - 791)*(x + 1)
Let x(n) be the second derivative of 2*n**4/9 - 22*n**3/3 + 90*n**2 - 1599*n + 2. Factor x(h).
4*(h - 9)*(2*h - 15)/3
Suppose -140*v = -128*v - 36. Let i(a) be the third derivative of 0*a - 1/120*a**5 + 3*a**2 + 0*a**4 + 0*a**v + 0. Factor i(s).
-s**2/2
Suppose -66*w - 120 = -68*w. Factor 50*h**2 - 68*h**3 + 40*h**3 - 22*h**3 + 55*h - w*h - 75*h**3.
-5*h*(5*h - 1)**2
Let r(i) be the third derivative of -2/15*i**5 - 2*i**2 - 11/12*i**4 + 1/60*i**6 + 13 + 0*i - 2*i**3. What is b in r(b) = 0?
-1, 6
Let b(p) be the second derivative of p**4/3 + 118*p**3/3 + 116*p**2 + 27*p + 68. Factor b(a).
4*(a + 1)*(a + 58)
Let t = -135 + 136. Let o(g) = 3*g**3 + 18*g**2 + 24*g + 6. Let v(j) = -j**3 - j**2 + 2*j - 1. Let f(k) = t*o(k) + 6*v(k). Let f(q) = 0. Calculate q.
-2, 0, 6
Let v(w) be the third derivative of -1/4*w**6 - 2*w**2 + 29/20*w**5 - 24*w**3 - w**4 + 27 + 1/70*w**7 + 0*w. Suppose v(a) = 0. Calculate a.
-1, 3, 4
Let p(z) be the second derivative of z**7/42 + 19*z**6/15 + 5*z**5 - 89*z**4/6 - 101*z**3/6 + 70*z**2 + 149*z + 15. Determine n so that p(n) = 0.
-35, -4, -1, 1
Let v(m) be the third derivative of -5/4*m**3 + 5/96*m**4 + 0*m + 0 - 18*m**2 + 1/48*m**5. Suppose v(g) = 0. What is g?
-3, 2
Let h be (-40 + 5056/128)*-6. Determine f so that 3/2*f**3 - h*f + 15/2*f**2 - 36 = 0.
-4, -3, 2
Let h(y) = -7*y**2 + 16*y - 6. Let d(s) = -34*s**2 + 80*s - 32. Let g = 265 + -262. Let r(l) = g*d(l) - 14*h(l). Factor r(f).
-4*(f - 3)*(f - 1)
Let a(c) be the first derivative of -2/35*c**5 - 60/7*c**2 - 44/21*c**3 + 11/14*c**4 + 144/7*c - 167. Find t such that a(t) = 0.
-2, 1, 6
Let s be (8 - 15 - -7)/(-9 - 0). Find k such that 2/7*k**4 + s + 0*k**3 - 2/7*k**2 + 0*k = 0.
-1, 0, 1
Determine a, given that 0 + 0*a + 4/7*a**3 - 18/7*a**5 - 34/7*a**4 + 0*a**2 = 0.
-2, 0, 1/9
Let j(a) be the first derivative of a**5/180 + 7*a**4/9 + 392*a**3/9 + 10976*a**2/9 - 92*a + 71. Let z(g) be the first derivative of j(g). Factor z(w).
(w + 28)**3/9
Let r(l) be the first derivative of -2*l**6/15 - 8*l**5/25 + l**4 + 8*l**3/3 - 8*l**2/5 - 32*l/5 + 1945. What is h in r(h) = 0?
-2, -1, 1, 2
Factor -42/5*o**4 - 198/5*o**3 + 0*o + 0 + 242/5*o**2 - 2/5*o**5.
-2*o**2*(o - 1)*(o + 11)**2/5
Let w be (-9)/(-168)*26 + 8/(-56). Let j(t) be the first derivative of -5/3*t**3 - 5*t**2 + 14 + w*t**4 + 0*t. Determine y, given that j(y) = 0.
-1, 0, 2
Let v(j) = -j**3 + 5*j**2 - j - 1. Let t(q) = 50*q**3 - 13*q**2 - q - 1. Let m(g) = t(g) - v(g). Determine a, given that m(a) = 0.
0, 6/17
Suppose -11*h - 60 = 3*x, -4*x - 5 = 3*h + 5. Let -18/7*b**3 + 10/7*b**4 - 2/7*b**5 + 2*b**x + 0 - 4/7*b = 0. Calculate b.
0, 1, 2
Let z(g) = 12*g**3 + 59*g**2 + 93*g - 119. Let p(m) = -17*m**3 - 89*m**2 - 136*m + 179. Let q(a) = -5*p(a) - 7*z(a). Factor q(d).
(d - 1)*(d + 2)*(d + 31)
Let x(r) = -170*r**3 + 650*r**2 - 4400*r - 49455. Let i(o) = 15*o**3 - 59*o**2 + 400*o + 4496. Let b(y) = -45*i(y) - 4*x(y). Factor b(d).
5*(d - 9)*(d + 10)**2
Suppose -7 = 4*o - 23. Let m(d) = 21*d**2 - 52*d + 16. Let v(l) = -22*l**2 + 54*l - 17. Let z(k) = o*v(k) + 3*m(k). Factor z(i).
-5*(i - 2)*(5*i - 2)
Let f(m) = 13*m**2 + 612*m + 51. Let t be f(-47). Let d(w) be the first derivative of 1 - 10/3*w**3 + 0*w + 5/4*w**t + 5/2*w**2. Factor d(b).
5*b*(b - 1)**2
Let u be 64 - (-3 + 7 + -2). Let f = u + -59. Find r such that -10*r + 6*r**4 + 2*r**4 + 203*r**2 + 2*r**4 - 2*r**5 + 2 - 183*r**2 - 20*r**f = 0.
1
Let n(v) be the third derivative of 1/90*v**5 + 0 + 2/9*v**3 - 93*v**2 - 1/12*v**4 + 0*v. Factor n(o).
2*(o - 2)*(o - 1)/3
Let d(h) be the second derivative of -2*h**6/15 + 69*h**5 - 344*h**4/3 - 2*h - 4376. Solve d(v) = 0 for v.
0, 1, 344
Let d(r) be the first derivative of r**6/9 + 958*r**5/45 + 421*r**4/6 + 734*r**3/9 + 314*r**2/9 - 3005. Let d(f) = 0. Calculate f.
-157, -1, -2/3, 0
Let r be (-8)/((-192)/104) + 8/(-24). Let v(j) be the first derivative of -8*j**r - j**2 + 11 + 0*j - 16/3*j**3. Factor v(i).
-2*i*(4*i + 1)**2
Let w(r) be the third derivative of 1/84*r**8 + 0*r + 0*r**3 + 0 + 1/15*r**5 - 1/30*r**6 + 133*r**2 + 0*r**4 - 2/105*r**7. Determine t, given that w(t) = 0.
-1, 0, 1
Suppose -5762*r + 54 = -5759*r. Let a(f) be the first derivative of 2*f**2 + 10/3*f**3 + 0*f - r + 2/5*f**5 + 2*f**4. Let a(t) = 0. What is t?
-2, -1, 0
Let f(i) be the second derivative of -i**7/14 - 7*i**6/10 + 9*i**5/2 + 55*i**4 + 188*i**3 + 288*i**2 + 3*i + 1287. Determine k, given that f(k) = 0.
-8, -2, -1, 6
Let f(u) = 4*u**5 + 2*u**2 + u + 1. Let k(c) = -13*c**5 - 63*c**4 - 57*c**3 + 301*c**2 - 189*c - 3. Let w(x) = 6*f(x) + 2*k(x). Solve w(s) = 0 for s.
-62, -3, 0, 1
Let v(f) be the first derivative of f**3 - 15*f**2 - 117*f + 767. Factor v(g).
3*(g - 13)*(g + 3)
Let x(v) be the third derivative of -v**6/660 + 29*v**5/165 + 61*v**4/44 - v**2 - v - 24. Find b such that x(b) = 0.
-3, 0, 61
Suppose -24*i - 707 - 301 = 0. Let d be (i/(-525) - 183/100) + 3. What is k in d*k**2 + 1/2*k + 0 + 3/4*k**3 = 0?
-1, -2/3, 0
Suppose -4*h - 94 + 110 = 0. Suppose -36*m = 6*m. Factor -2/5*z + m - 6/5*z**3 - 6/5*z**2 - 2/5*z**h.
-2*z*(z + 1)**3/5
Let b(a) be the second derivative of a**6/20 - 561*a**5/10 + 104907*a**4/4 - 6539203*a**3 + 3668492883*a**2/4 - 466*a. Find u, given that b(u) = 0.
187
Suppose -95*p + 97*p = 18*j + 16, 5*j = p - 8. Factor j + 0*x + 0*x**2 + 2/3*x**5 + 0*x**4 - 2/3*x**3.
2*x**3*(x - 1)*(x + 1)/3
Let a = -35149/5 - -7030. Let u(t) be the first derivative of -2/5*t**2 + 4/15*t**3 + a*t**4 + 9 - 4/5*t. Factor u(l).
4*(l - 1)*(l + 1)**2/5
Let l(c) be the third derivative of c**6/30 - c**5/5 - 14*c**4/3 + 40*c**3 + c**2 - 5*c. Factor l(k).
4*(k - 6)*(k - 2)*(k + 5)
Let i(o) be the second derivative of 3*o**5/40 + 159*o**4/8 + 1515*o**3/4 + 11175*o**2/4 - 1145*o. Factor i(c).
3*(c + 5)**2*(c + 149)/2
Suppose -n + t + 10 = -t, 2*t = -6. Let j(b) be the third derivative of 0*b**3 + 0*b**n + 0*b + 1/30*b**5 + 0 + 3*b**2. Factor j(r).
2*r**2
Let z = 678/11 + -2935/66. Let v = 107/6 - z. What is n in 1/6*n**2 + 1/2 + v*n = 0?
-3, -1
Let o be ((-1130)/40 + -6)*2. Let u = -67 - o. Let 3/4*s**2 + u*s + 3/4 = 0. What is s?
-1
Suppose 4*g = -3*z - 48, -2*z = g + 4*g + 39. Let q = 15 + z. Find i such that 3*i**5 - 3*i**4 + 48*i - 19 - 5*i**q - 29 - 19*i**3 + 24*i**2 = 0.
-2, 1, 2
Let k be (-3)/(-9)*0*(113 + -112). Factor 2/3*l**3 - 8/3*l + k*l**2 - 8/3 + 1/6*l**4.
(l - 2)*(l + 2)**3/6
Let r(z) be the third derivative of 1/3*z**3 - 14*z**2 - 11/240*z**6 + 0 + 1/2*z**4 + 3/40*z**5 + 0*z. Factor r(y).
-(y - 2)*(y + 1)*(11*y + 2)/2
Factor 1/4*n**2 - 300 - 13/2*n.
(n - 50)*(n + 24)/4
Suppose -t = -1 - 2, r + 5*t = 20. Suppose -r*m - 4*c + 43 = 0, 3*m - c = 6*m - 30. Factor m*w + 19 - 27*w + 4*w**2 - 3.
4*(w - 2)**2
Let m be (3/2 + -1)*-8. Let y(v) = 10*v**2 + 8*v - 2. Let g(u) be the first derivative of -u**3/3 + u - 113. Let r(z) = m*g(z) + y(z). Factor r(a).
2*(a + 1)*(7*a - 3)
Let v be (144/40 + -4)/((-6)/45 - 0). Solve -125/3 - 180*l**2 - 150*l - 72*l**v = 0.
-5/6
Suppose 