2/3
Let a(l) be the third derivative of 0*l + 1/12*l**5 - 5*l**2 - 10*l**3 + 5/6*l**4 - 2. What is y in a(y) = 0?
-6, 2
Let p be 14/((4/(-3))/((-77)/231)). Suppose -p*a**4 + 8*a - 2 + 19/2*a**3 - 25/2*a**2 + 1/2*a**5 = 0. What is a?
1, 2
Factor 72*u + 81/2*u**2 + 32.
(9*u + 8)**2/2
Let g(r) = r**3 + 46*r**2 + 486*r + 435. Let d(w) = w**3 + 47*w**2 + 487*w + 433. Let k(c) = -3*d(c) + 4*g(c). Factor k(v).
(v + 1)*(v + 21)**2
Factor 280*n + 3 - 3 - 704*n**2 - 206*n**3 + 216*n**3.
2*n*(n - 70)*(5*n - 2)
Let u = 0 - -2. Suppose -11 = -5*m - 3*z - u, 4*m - 10 = -z. Find g, given that 1 - 6 - 6 + m + 2*g**2 = 0.
-2, 2
Suppose 3*i + 1 = -b, -3*i - 83 = -80. Determine a, given that 1/2*a**b + 0 + a**3 - a - 1/2*a**4 = 0.
-1, 0, 1, 2
Let g(z) be the first derivative of -9 - 9/2*z**2 + z**3 + 0*z. Let g(x) = 0. Calculate x.
0, 3
Let z(l) be the first derivative of l**6/6 - l**4 - 2*l**3/3 + 3*l**2/2 + 2*l - 121. Determine x so that z(x) = 0.
-1, 1, 2
Suppose -2*d - 7 + 39 = -t, 0 = 2*d - 4*t - 44. Suppose -5*a = 4*j - 89, 36 - 172 = -5*j + 2*a. Determine p so that 21*p - j*p - 4*p**2 + d*p**2 = 0.
0, 1/2
Factor -10/7*u**2 + 8/7 - 6/7*u**3 + 2/7*u**4 + 6/7*u.
2*(u - 4)*(u - 1)*(u + 1)**2/7
Suppose 4 = 2*t - 3*z - 12, -4*t - z + 4 = 0. Suppose t*j + 3*j - 25 = 0. Determine a, given that 3*a + j*a**2 - 3*a**2 - 5*a**2 = 0.
0, 1
Let c be (-1)/((6/3)/(-6)). Let b be c/153*-6 - 292/(-170). Determine x, given that b - 8/5*x**2 + 2/5*x - 2/5*x**3 = 0.
-4, -1, 1
Suppose a - 3*x = -1 + 25, a + 16 = -5*x. Find p, given that -7*p + 2*p - a*p**2 - 11*p**2 - 3*p = 0.
-2/5, 0
Let p = -1791409/70 + 25592. Let f = 2/35 + p. Factor -w**3 + 1/2*w - 1/2*w**4 + w**2 - 1/2 + f*w**5.
(w - 1)**3*(w + 1)**2/2
Let j(b) be the first derivative of -2/27*b**3 + 1/9*b**2 + 4/9*b - 15. Let j(r) = 0. What is r?
-1, 2
Let -131*b**4 + 108*b - 164*b**3 + 236*b**4 - 119*b**4 - 330*b**2 = 0. What is b?
-9, -3, 0, 2/7
Let f = 18 + -28. Let h be f/(-55) + (-130)/(-11). Factor 0*w - h*w + 16 - 8 + 4*w**2.
4*(w - 2)*(w - 1)
Let j(f) be the third derivative of f**5/15 + 10*f**4/3 - 14*f**3 + 5*f**2 - 2*f. What is r in j(r) = 0?
-21, 1
Factor -10/9*g**2 - 454/9*g - 20.
-2*(g + 45)*(5*g + 2)/9
Let a(q) be the second derivative of q**7/49 - q**6/105 - q**5/35 + 13*q. Find z, given that a(z) = 0.
-2/3, 0, 1
Let v = 452 + -8582/19. Let a = 206/171 - v. Factor -10/9*h - a*h**2 - 2/9.
-2*(h + 1)*(4*h + 1)/9
Let c(v) = 3*v**4 - 9*v**3 - 27*v**2 + 65*v - 32. Let b(w) = -6*w**4 + 18*w**3 + 54*w**2 - 131*w + 65. Let r(d) = 4*b(d) + 7*c(d). Solve r(p) = 0 for p.
-3, 1, 4
Suppose 4*i + 5*i = -189. Let a be ((-18)/i)/(36/56). Factor -8/3*q - a*q**5 + 0 + 20/3*q**4 + 28/3*q**2 - 12*q**3.
-4*q*(q - 2)*(q - 1)**3/3
Let r = 20229/8 + -1515751/600. Let m = r - 1/25. Suppose -5/3*z**2 - 3*z**3 - m*z**4 - 1/3*z + 0 - 2/3*z**5 = 0. What is z?
-1, -1/2, 0
Let t(r) = -r**5 + 5*r**4 + 5*r**3 - 13*r**2 - 8*r + 16. Let s(f) = -f**4 + f**3 - 1. Let k(g) = -12*s(g) - 3*t(g). Solve k(h) = 0 for h.
-3, -1, 1, 2
Let r(o) = -280*o - 1396. Let z be r(-5). Factor z + 4/9*y**2 + 8/3*y.
4*(y + 3)**2/9
Solve 6*j**2 + 60*j + 88 - j**2 - 33 = 0 for j.
-11, -1
Let t = 221 + -217. Let r(f) be the first derivative of -4 - 1/2*f**6 + 0*f**5 + 0*f - 2*f**3 + 9/4*f**t + 0*f**2. Factor r(a).
-3*a**2*(a - 1)**2*(a + 2)
Let k(a) be the third derivative of a**8/840 + 2*a**7/525 - a**6/100 - 2*a**5/75 + a**4/15 + 2*a**2 + 91. Suppose k(i) = 0. Calculate i.
-2, 0, 1
Let p(g) = -g**3 - 10*g**2 - 7*g + 20. Let m be p(-9). What is q in q**3 - 53*q**m + q**3 + 55*q**2 = 0?
-1, 0
Let g(m) be the second derivative of -m**4/54 - 19*m**3/27 + 3*m - 44. Factor g(f).
-2*f*(f + 19)/9
Let p(m) = -2*m + 13. Let x be p(4). Factor 5*f - 2*f - 8*f**2 - 7*f**2 + 7*f + x*f**3.
5*f*(f - 2)*(f - 1)
Let h be 54/(-22) + 3 + 0. Let o = -1/65 - -271/715. Factor -2/11*x**2 + 0 + h*x**4 + 8/11*x**3 - o*x.
2*x*(x + 1)**2*(3*x - 2)/11
Let b(o) = o**3 - 13*o**2 - 11*o + 14. Let h be b(14). Solve 14*i + 0*i**4 - 16*i**3 - 102*i**2 - 18*i**2 - 50*i - 12*i**5 + h*i**4 = 0 for i.
-1, -1/3, 0, 3
Let m(q) = -q**5 - 3*q**4 - 5*q**3 + 3. Let t(k) = 109*k**3 + 2 + 2*k**2 - 2*k**2 - 113*k**3 - 2*k**4. Let l(b) = 4*m(b) - 6*t(b). Factor l(j).
-4*j**3*(j - 1)*(j + 1)
Let c(m) = 57*m**3 - 120*m**2 + 129*m. Let v = -36 + 32. Let l(y) = 7*y**3 - 15*y**2 + 16*y. Let r(o) = v*c(o) + 33*l(o). Solve r(s) = 0.
0, 1, 4
Suppose -71*v + 69*v = 0. Let b(m) be the second derivative of 0*m**2 + 0*m**4 + 5*m + 0*m**6 + v + 1/20*m**5 + 0*m**3 - 1/42*m**7. Factor b(h).
-h**3*(h - 1)*(h + 1)
Let w(a) be the second derivative of 2/7*a**2 + 2/35*a**5 - 2/21*a**4 + 5*a + 0 + 2/105*a**6 - 2/147*a**7 - 2/21*a**3. Factor w(z).
-4*(z - 1)**3*(z + 1)**2/7
Factor -3*v**3 + v**3 - 2*v**3.
-4*v**3
Let h be (-5)/(-1) - 6/(2/1). Let 7*q**2 - 19*q**2 - 5*q**3 - 23*q**h + 35 + 45 - 40*q = 0. Calculate q.
-4, 1
Suppose -4*r = -7*r - 4*u + 40, 4*u = -5*r + 56. Let d be (-18)/24 + 30/r + -1. Let -1/4*s + 1/4*s**d - 1/2 = 0. Calculate s.
-1, 2
Suppose 104*q - 89*q - 30 = 0. Suppose -25/8 - 1/8*n**3 - 35/8*n - 11/8*n**q = 0. What is n?
-5, -1
Suppose 6*y = -7*y + 39. Find j such that 3*j**y + 4*j - j**4 - 18 - 12 + j**5 + 26 + 5*j**2 - 8*j**3 = 0.
-2, -1, 1, 2
Let a(l) be the second derivative of -2*l**6/15 + 73*l**5/5 - 600*l**4 + 10368*l**3 - 27648*l**2 + 127*l. Find n such that a(n) = 0.
1, 24
Let c be (78/(-403))/(9/8*-2). Let y = 395/93 + c. Find p such that y*p**2 + 40/9*p + p**3 + 4/3 = 0.
-3, -2/3
Let l(c) be the third derivative of c**7/1680 + c**6/320 + 31*c**2. Factor l(q).
q**3*(q + 3)/8
Let z(a) = 29*a**4 - 84*a**3 + 81*a**2 - 26*a + 6. Let v(g) = -g**4 + g**3 + g**2 - g + 1. Let f(x) = 6*v(x) - z(x). Factor f(s).
-5*s*(s - 1)**2*(7*s - 4)
Let a(o) be the first derivative of -1/3*o**3 - o + 0*o**2 - 3 + 1/10*o**5 + 0*o**4. Let b(g) be the first derivative of a(g). Factor b(f).
2*f*(f - 1)*(f + 1)
Let n(p) be the second derivative of 5*p**3/6 - p**2/2 + 4*p. Let s be n(1). Factor -3*z**2 + 2 - 5*z + z**2 + s*z + 4*z.
-(z - 2)*(2*z + 1)
Let m = 17 + -128. Let q be (-1)/(-5) + m/(-45). Factor 4/3*s**2 + 0 + q*s**3 + 0*s + 4/3*s**4.
4*s**2*(s + 1)**2/3
Let f(y) be the first derivative of 2/45*y**5 + 1/9*y**4 + 2/27*y**3 + 0*y**2 - 15 + 0*y. Solve f(v) = 0 for v.
-1, 0
Let n(a) be the second derivative of -1/13*a**2 + 2/39*a**4 + 0 + 1/13*a**3 + a. Factor n(o).
2*(o + 1)*(4*o - 1)/13
Let n(f) be the third derivative of 17*f**8/40320 - f**7/672 - f**6/720 + 7*f**5/20 + 20*f**2. Let w(v) be the third derivative of n(v). Factor w(j).
(j - 1)*(17*j + 2)/2
Suppose 2*h = a - 2*h + 17, -2*h = -2. Let o = -2 - a. Find t, given that 21*t**2 + 3*t**5 - 5*t**3 + 6*t + o*t**3 + 9*t**4 + 21*t**3 + 6*t**4 = 0.
-2, -1, 0
Let q = -7/106 + 1123/954. Factor 2/9*j**2 - q*j + 0.
2*j*(j - 5)/9
Suppose -51*r = -55*r + 1368. Factor -10*p + 5*p**2 - 172 - 170 + r.
5*p*(p - 2)
Suppose -3*y = 2*d - 9, 14 = d - 2*y - 1. Suppose -d*x + 6 = -7*x. Suppose -3/5*n**x - 6/5*n**2 - 3/5*n + 0 = 0. What is n?
-1, 0
Let o = -289 - -282. Let t be (-47)/o + -2 + (-3 - -4). Determine f, given that -100/7 - 4/7*f**2 + t*f = 0.
5
Let z be (-11 - (-25 + -3)) + -1*4. Let d(q) be the first derivative of 45*q**2 - 27*q - 15*q**4 - 7 - 12/5*q**5 - z*q**3. Factor d(n).
-3*(n + 3)**2*(2*n - 1)**2
Let h(l) be the first derivative of 19 + 68/57*l**3 - 27/38*l**4 + 5/19*l**6 - 52/95*l**5 - 16/19*l + 12/19*l**2. Suppose h(z) = 0. Calculate z.
-1, -2/3, 2/5, 1, 2
Let x(w) be the second derivative of -w**6/6 - 5*w**5/4 + 35*w**4/4 + 425*w**3/6 - 250*w**2 + 384*w. Factor x(v).
-5*(v - 4)*(v - 1)*(v + 5)**2
Let k be ((-9)/((-48)/(-96)*-3*1))/2. Factor 0 + 0*o**2 + 0*o + 4/3*o**4 - 4*o**k.
4*o**3*(o - 3)/3
Let l(q) be the third derivative of 27*q**6/160 + 207*q**5/80 + 193*q**4/48 + 7*q**3/3 + 857*q**2. Find y, given that l(y) = 0.
-7, -4/9, -2/9
Suppose -i - 3*b + 28 = 2*b, -i + b + 58 = 0. Let r = i - 369/7. Factor -2/7*l**2 + 4/7 - r*l.
-2*(l - 1)*(l + 2)/7
Let o = 38/107 - 7/321. Let d(q) be the first derivative of -1/2*q**2 - o*q**3 + 7 + 2*q. Factor d(l).
-(l - 1)*(l + 2)
Let y(v) be the first derivative of 11 + 0*v**2 + v**3 + 0*v + 3/2*v**4. Find j, given that y(j) = 0.
-1/2, 0
Factor -155 + 19*s + 82 - s**2 + 93.
-(s - 20)*(s + 1)
Let b(o) be the second deriv