 95
Suppose 3*d - 7 = -4*p + 2*p, -2*p - d = 3. Let w be (3822/56)/21 + (-3)/p. Let 1/5*z + 1/5*z**w - 1/5*z**3 + 0 - 1/5*z**2 = 0. What is z?
-1, 0, 1
Let t = -128570 - -128572. Find w such that 0*w + 1/3*w**4 - w**3 + 2/3*w**t + 0 = 0.
0, 1, 2
Let t(a) be the third derivative of a**5/210 - 13*a**4/84 + 4*a**3/7 - 112*a**2 + 1. Let t(v) = 0. Calculate v.
1, 12
Suppose 2*k + 68 = -3*u - 10, -5*u - 86 = 2*k. Let h be (-105)/k + 2 + (-2)/11. Let -h*a**2 - 81 - 100*a - 288 - 131 = 0. What is a?
-10
Let s(i) be the third derivative of 11*i**6/720 - i**5/24 - i**4/2 - 46*i**3/3 - 3*i**2 + 13. Let d(b) be the first derivative of s(b). Factor d(l).
(l - 2)*(11*l + 12)/2
Let h be (-2865)/(-4011)*12/15*2. Factor 0 + h*b**2 + 24/7*b - 2/7*b**3.
-2*b*(b - 6)*(b + 2)/7
Let k(i) be the second derivative of -i**7/1596 - 7*i**6/3420 - i**5/570 + i**3/2 + 3*i**2/2 + 22*i. Let h(z) be the second derivative of k(z). Factor h(l).
-2*l*(l + 1)*(5*l + 2)/19
Let y(l) = -14*l**3 + 11*l**2 + 5*l - 50. Let b(f) = 23*f**3 - 21*f**2 - 10*f + 100. Let v(d) = -6*b(d) - 10*y(d). Solve v(i) = 0 for i.
-5, 2
Suppose 3*z - 12 = -3*s, z + 395*s - 393*s - 5 = 0. Let n(u) be the first derivative of 24 - 2/3*u**z + 4*u**2 - 6*u. Factor n(j).
-2*(j - 3)*(j - 1)
Let y(s) = 13*s - 75. Let k be y(6). Factor 20*o**3 + 35*o**k - 50*o**3.
5*o**3
Let t(m) be the first derivative of -3*m**4/4 - 4*m**3 + 33*m**2/2 + 90*m - 9141. Factor t(u).
-3*(u - 3)*(u + 2)*(u + 5)
Suppose -2*s**3 + 360/7*s**2 + 620/7 + 2274/7*s = 0. Calculate s.
-5, -2/7, 31
Let k(g) = 3*g + 27. Let o be k(-7). Suppose 0*u = o*u - 18. Solve 4*j**5 + 2*j**3 - 12*j**3 + 6*j**u = 0.
-1, 0, 1
Let o = 21551/3 + -7181. Factor -34/3*q**2 + 0 + 8/3*q**3 + o*q.
2*q*(q - 4)*(4*q - 1)/3
Let s be 13/((-39)/(-28)) + 4 + 0/(-1). Suppose 0 - s*v**2 + 5*v**3 - 5*v = 0. Calculate v.
-1/3, 0, 3
Let r(y) be the third derivative of -5*y**8/2016 - 13*y**7/126 - 23*y**6/144 + 25*y**5/36 + 6*y**2 + 35*y + 1. Solve r(b) = 0 for b.
-25, -2, 0, 1
Let 27*f**2 - 120 + 78*f**2 + 17657*f**3 + 15*f**4 + 4*f**5 - 17798*f**3 + 138*f - f**5 = 0. Calculate f.
-10, -1, 1, 4
Let d(x) = 8*x**2 - 506*x + 493. Let c(s) = -10*s**2 + 506*s - 490. Let w(p) = -5*c(p) - 6*d(p). Factor w(h).
2*(h - 1)*(h + 254)
Determine f, given that 2677 + 6028*f**4 - 1399*f**3 + 41836*f**2 + 484*f**5 - 1077 + 15271*f**3 + 1457*f**3 + 15280*f + 10568*f**3 = 0.
-4, -5/22
Let o(j) be the second derivative of 13/2*j**2 - 38*j + 5/9*j**4 - 4/3*j**3 + 0 - 1/30*j**5. Let m(r) be the first derivative of o(r). Factor m(z).
-2*(z - 6)*(3*z - 2)/3
Factor 3*a**3 + 173*a + 8*a**2 + 14*a**2 + 14*a**2 - 65*a.
3*a*(a + 6)**2
Let n be (44/8 - (-1 + 2 + 1))*7317/5691. Suppose -13*z**2 + 18*z - 4 - n*z**3 + 7/2*z**4 = 0. What is z?
-2, 2/7, 1, 2
Suppose 0 - 1/5*d**4 - 22/5*d - 7*d**2 - 14/5*d**3 = 0. What is d?
-11, -2, -1, 0
Let y(s) = s**2 + 165*s - 54. Let p(b) = -167*b + 54. Let g(z) = 4*p(z) + 6*y(z). Factor g(t).
2*(t + 54)*(3*t - 1)
Let q(x) be the second derivative of x**6/120 - 217*x**5/8 + 1177225*x**4/48 - 7231*x. What is p in q(p) = 0?
0, 1085
Suppose 20 = 18*p - 49 + 15. Let n(s) be the second derivative of -1/9*s**4 + 2 + 0*s**2 + 3*s - 2/9*s**p - 1/60*s**5. Factor n(f).
-f*(f + 2)**2/3
Suppose 577 = -27*m - 9872. Let d = 1936/5 + m. Factor -1/5*b**3 - d*b**2 + 1/5 + 1/5*b.
-(b - 1)*(b + 1)**2/5
Let b(n) = n**4 - n**3 + n**2. Let x(u) = 17*u**2 - 24 + 6 - 29*u + 40*u - 31*u + 19*u**3 + 3*u**4. Let d(c) = 2*b(c) - 2*x(c). Solve d(i) = 0 for i.
-9, -1, 1
Let y be 1/((-1855)/(-1848) - 1). Let c be ((-5)/(-3) + -1)*y/528. Solve 0 - c*m - 1/3*m**2 = 0 for m.
-1, 0
Let o(v) be the third derivative of -2*v**7/105 + 23*v**6/30 - 62*v**5/5 + 304*v**4/3 - 1280*v**3/3 + 14*v**2 + 3. Suppose o(h) = 0. Calculate h.
2, 5, 8
Let b be 40/99 - (-132)/(-594). Let g be 3/((-99)/(-15))*13 + -3. Find z, given that 16/11*z - g - b*z**2 = 0.
4
Let m be ((-70)/13)/((-54047)/15442). Determine o so that -12/13*o**4 + 32/13*o**2 - 4/13*o**3 - 2/13*o**5 - m + 6/13*o = 0.
-5, -2, -1, 1
Let s(u) be the first derivative of u**6/780 - 3*u**5/65 - 135*u**2/2 - 188. Let n(y) be the second derivative of s(y). Find x such that n(x) = 0.
0, 18
Let k(r) be the third derivative of -r**6/40 - 9*r**5/10 - 17*r**4/8 - 988*r**2 - 1. Factor k(b).
-3*b*(b + 1)*(b + 17)
Let o = -351727 - -1406957/4. Let t = 6 + -4. Suppose 0 - 7/4*h**3 - 9/4*h + 33/4*h**t - o*h**4 = 0. Calculate h.
-1, 0, 3/7
Solve 0 + 22*a - 100/3*a**3 + 31/3*a**2 + a**4 = 0 for a.
-2/3, 0, 1, 33
Let s(m) = -m**3 - 16*m**2 + 324*m - 888. Let d be s(9). Find u, given that -6*u + 4*u**2 - 2/3*u**d + 0 = 0.
0, 3
Let t = -211 + 228. Suppose -6 = y - 4*y. Factor 4*j**y + 28 - 20 - 5*j + t*j.
4*(j + 1)*(j + 2)
Let c = 423 + -2569. Let o = -2144 - c. Determine x so that 4/5 + 18/5*x**o - 22/5*x = 0.
2/9, 1
Let v(s) be the third derivative of s**6/180 + 3*s**5/10 + 17*s**4/12 + 25*s**3/9 + 3718*s**2. Factor v(q).
2*(q + 1)**2*(q + 25)/3
Suppose 115160*k**5 - 115149*k**5 - 49*k**4 - 1228*k**2 + 35 - 636*k - 82*k**4 - 857*k**3 - 43*k**4 - 115 = 0. What is k?
-2, -1, -2/11, 20
Let c(f) be the second derivative of -f**6/105 + 13*f**4/42 + 4*f**3/7 - 101*f + 5. What is d in c(d) = 0?
-3, -1, 0, 4
Let a(l) be the third derivative of -41*l**8/112 - 121*l**7/70 - 19*l**6/10 + l**5/5 - 1795*l**2. Let a(j) = 0. Calculate j.
-2, -1, 0, 2/41
Let a be 30/14 + (9 - 64/7). Factor 18*b + 6*b**2 + 16 - 16*b**a + 12*b**2.
2*(b + 1)*(b + 8)
Factor 236/5*o**3 - 72*o**2 + 0 + 162/5*o - 8*o**4 + 2/5*o**5.
2*o*(o - 9)**2*(o - 1)**2/5
Let i be 1246/445 - (-196)/(-70). Factor 1/7*l**4 + 0*l + 289/7*l**2 + 34/7*l**3 + i.
l**2*(l + 17)**2/7
Suppose 0 = r + 5*k - 11 + 44, 111 = -4*r + k. Let o be -1 + r/(-5) + (-6)/10. What is i in 8 - 20*i - o*i**3 + 0*i**2 + 4*i**2 + 12*i**2 = 0?
1, 2
Let w(u) be the third derivative of u**7/70 - 443*u**6/360 + 53*u**5/18 - 4*u**4/3 + 7491*u**2. Factor w(q).
q*(q - 48)*(q - 1)*(9*q - 2)/3
Let y be (-382)/(-3056) - (-1)/(-72). Factor -y*q**4 - 4/9*q**3 + 0*q + 0 + 5/9*q**2.
-q**2*(q - 1)*(q + 5)/9
Solve 1/6*a**2 + 68/3 - 19/3*a = 0 for a.
4, 34
Let v be (-4)/(-10) + 656/10 + -1. Let a = v + -63. Let t(h) = 16*h**4 + 20*h**3 - 26*h**2 - 10*h. Let k(i) = i**2 - i. Let u(s) = a*k(s) - t(s). Factor u(j).
-4*j*(j - 1)*(j + 2)*(4*j + 1)
Factor -9996*m**3 + 50112600*m + 20010*m**3 - 10012*m**3 + 17340*m**2 + 48275138000.
2*(m + 2890)**3
Let j = -133 + 135. Find n, given that 5*n**4 + 1363 + 105*n**j + 95*n - 1333 + 0*n**4 + 45*n**3 = 0.
-6, -1
Let f = 45640 - 45578. Determine c, given that 169/2*c - f*c**2 - 7/2*c**3 - 19 = 0.
-19, 2/7, 1
Let m be (-4 + -1 - -2) + 5. Suppose x = m - 0. Find g such that -48*g + 38 + 73 + 33 + 4*g**x = 0.
6
Let d(v) be the first derivative of -3*v**5/25 - 17*v**4/20 - 34*v**3/15 - 14*v**2/5 - 8*v/5 + 1515. Determine u so that d(u) = 0.
-2, -1, -2/3
Let a(m) be the second derivative of m**4/21 + 10*m**3/3 - 72*m**2/7 - 1685*m. Factor a(x).
4*(x - 1)*(x + 36)/7
Let w(a) be the third derivative of -a**5/510 - 29*a**4/102 - 72*a**3/17 + 3*a**2 + 247*a. Factor w(o).
-2*(o + 4)*(o + 54)/17
Let n be 130/(-2405) + (-2147)/(-703). Factor 1/3*q + 0 - 1/3*q**n + 0*q**2.
-q*(q - 1)*(q + 1)/3
Let c(l) be the first derivative of l**4 - 10864*l**3/3 + 10858*l**2 - 10856*l + 2518. Factor c(t).
4*(t - 2714)*(t - 1)**2
Let f(y) be the third derivative of -y**7/630 - 61*y**6/360 - 16*y**5/3 - 25*y**4/2 + 739*y**2. Factor f(o).
-o*(o + 1)*(o + 30)**2/3
Let s(l) be the third derivative of 10/3*l**3 - 7*l**2 + 8/15*l**6 + 0 + 41/6*l**4 + 88/15*l**5 + 4*l. Suppose s(x) = 0. Calculate x.
-5, -1/4
Let a(l) be the first derivative of 4*l**6/39 - 2*l**5/5 + 5*l**4/13 + 952. Factor a(h).
2*h**3*(h - 2)*(4*h - 5)/13
Let x(a) be the first derivative of 4*a**5/5 - 52*a**4 - 212*a**3/3 + 24. Factor x(j).
4*j**2*(j - 53)*(j + 1)
Suppose 5*c - 25 = 6*s - 7*s, -4*s - 2*c + 82 = 0. Suppose 4*u + 4*y + s = 3*u, -2*u + 20 = -4*y. What is n in 0 + u*n - 4/7*n**4 + 16/7*n**3 - 16/7*n**2 = 0?
0, 2
Let p = -19/7 - -102/35. Let r(g) be the first derivative of -24/5*g - 9/5*g**2 - p*g**3 - 12. Determine z so that r(z) = 0.
-4, -2
Suppose -4*q - 76 = -5*p, -p - 4*p + 5*q = -75. What is l in p - l**4 + 4*l - 77*l**2 - 84*l**2 - 3*l**3 - 4*l**3 + 149*l**2 = 0?
-4, -2, 1
Let u b