d.
2*f**2*(f + 3)*(f + 5)**2/5
Suppose 4*n - 3*d = 24, 11*d = 15*d + 16. Determine a, given that a**4 + 81*a**2 - 20*a**n - 5*a**4 - 87*a**2 - 2*a**4 = 0.
-3, -1/3, 0
Let a = 487217/11 + -44292. Let 1/11*d**5 + 0*d + 0 - 4/11*d**2 + 8/11*d**3 - a*d**4 = 0. What is d?
0, 1, 2
Let h = 715 + -702. Suppose -59*a + h*a = -92. Let -81/5 - 18/5*v - 1/5*v**a = 0. What is v?
-9
Let o(d) be the third derivative of -d**6/120 - d**5/15 - d**4/8 - 4*d**3/3 - 7*d**2. Let p be o(-4). Determine n so that -n - 7*n + 0*n**2 - p*n**2 + 12 = 0.
-3, 1
Let y(l) be the second derivative of -l**4/72 + 346*l**3/9 - 119716*l**2/3 - 946*l. Determine u so that y(u) = 0.
692
Suppose 4*b + 34 - 32 = -3*o, 0 = o + 3*b + 4. Let 5/3 + 7/3*q**o + 11/3*q + 1/3*q**3 = 0. Calculate q.
-5, -1
Let j(u) be the third derivative of u**6/40 + 5*u**5/12 + 11*u**4/6 + 2*u**3 - 488*u**2. Factor j(d).
(d + 2)*(d + 6)*(3*d + 1)
Let w = -3764/5 + 756. Suppose 5*b = -27 + 42. Find s, given that 81/5*s**2 + w - 28/5*s**b - 72/5*s + 3/5*s**4 = 0.
1/3, 1, 4
Let p(a) be the second derivative of a**6/120 - 3*a**5/80 - 7*a**4/8 + 77*a**3/6 - 42*a. Let y(f) be the second derivative of p(f). Factor y(r).
3*(r + 2)*(2*r - 7)/2
Let i be ((-8)/6)/((-24)/2700). Factor 3477 + 212 - 447 - 955 - i*n + n**2 + 3338.
(n - 75)**2
Suppose 0 = k - 2*w + 3, -k + 22 - 29 = -3*w. Find a, given that -32*a**4 - a**k + 26*a**4 + 5*a**3 - a + 6*a**2 - 6*a + 3*a**3 = 0.
-7, -1, 0, 1
Let r = -552910 + 552915. Solve 10/7*g + 0 - 2/7*g**r - 8/7*g**3 + 12/7*g**2 - 12/7*g**4 = 0.
-5, -1, 0, 1
Let l(i) = 23*i**2 - 1120*i + 935. Let n(m) = -m**2 + 10*m. Let o(v) = -l(v) - 18*n(v). What is g in o(g) = 0?
1, 187
Let q = 19843/675818 + 1/19877. Let k(l) be the first derivative of q*l**4 - 1/17*l**2 - 37 - 2/17*l + 2/51*l**3. Factor k(t).
2*(t - 1)*(t + 1)**2/17
Let h(j) = -j**4 - 5*j**3 + 6*j**2 - 240*j + 5. Let a(y) = y**3 - y**2 + 48*y - 1. Let c(q) = 20*a(q) + 4*h(q). Factor c(o).
-4*o**2*(o - 1)*(o + 1)
Let k(y) be the third derivative of -y**5/360 - 13*y**4/72 + 10*y**3/3 - 1630*y**2. Suppose k(d) = 0. What is d?
-30, 4
Suppose 32*t - 380 = 772. Solve 20*i**4 + 21*i**4 + 24*i + 6*i**2 + 168*i**2 - t*i**5 + 327*i**3 + 10*i**4 = 0.
-2, -1/3, -1/4, 0, 4
Let k(p) = 4*p + 0*p**3 - 13*p + 20*p**2 + 27*p + 37*p - 5*p**3 + 38. Let q(z) = -15*z**3 + 60*z**2 + 165*z + 112. Let o(j) = 11*k(j) - 4*q(j). Factor o(l).
5*(l - 6)*(l + 1)**2
Let y(h) = 7*h**4 - 168*h**3 - 411*h**2 - 429*h. Let c(r) = 3*r**4 - 77*r**3 - 206*r**2 - 214*r. Let n(q) = -5*c(q) + 2*y(q). Factor n(o).
-o*(o - 53)*(o + 2)**2
Let r(b) be the first derivative of 0*b - 1/4*b**4 + 1/15*b**5 - 76 - 1/9*b**3 + 1/2*b**2. Factor r(s).
s*(s - 3)*(s - 1)*(s + 1)/3
Factor 25124 - 68388 + 46930*l - 46098*l - 4*l**2.
-4*(l - 104)**2
Let t(i) be the first derivative of -2*i**3/21 + 288*i/7 - 9713. Find w such that t(w) = 0.
-12, 12
Let k be (140/2540)/(1/(-1)). Let q = 1079/1143 + k. Determine a, given that -q*a - 8/9 + 14/9*a**2 - 4/9*a**3 = 0.
-1/2, 2
Let u be (-16)/6*(-1)/((-12)/(-99)). Factor 25*q - 51*q + 21*q**2 + u*q - q**4 - 4*q**3 - 28.
-(q - 2)**2*(q + 1)*(q + 7)
Suppose -21*s + 6*s = -60. Suppose 25*n**3 + 14*n**4 + 20*n - 3*n**s - 6*n**4 + 40*n**2 = 0. Calculate n.
-2, -1, 0
Let f(o) be the second derivative of 5*o**7/42 - 3*o**6/2 - 9*o**5 - 5*o**4/3 + 40*o**3 + 2683*o. Let f(m) = 0. Calculate m.
-2, 0, 1, 12
Let o = 552227/11 + -50202. Determine x, given that 36/11*x**3 + 34/11*x + o + 69/11*x**2 = 0.
-5/4, -1/3
Let u(k) = -35*k + 492. Let i be u(14). Let w be (i/(-4) - 1)/((-21)/12). Factor -8/7*m**2 + 19/7*m - w - 5/7*m**3.
-(m - 1)*(m + 3)*(5*m - 2)/7
Let n(y) = -y**2 + 2*y - 1. Let r(x) = -3*x**3 + 62*x**2 - 19*x - 40. Let k(j) = -30*n(j) + 2*r(j). Let k(a) = 0. Calculate a.
-1/3, 1, 25
Solve 37/2*a**3 - 107/6*a - 5 - 2/3*a**5 + 83/6*a**2 - 53/6*a**4 = 0.
-15, -1, -1/4, 1, 2
Factor 2/7*p - 2/7*p**3 - 12/7*p**2 + 60/7.
-2*(p - 2)*(p + 3)*(p + 5)/7
Let r(o) be the third derivative of -4/9*o**4 + 0*o + 102*o**2 - 2/315*o**7 - 11/45*o**5 + 8/3*o**3 + 0 + 4/45*o**6. Suppose r(t) = 0. Calculate t.
-1, 1, 2, 6
Let k be 1/(-5) + (-467175)/4125. Let t = 114 + k. Factor t - 2/11*a**3 + 2/11*a**2 + 10/11*a.
-2*(a - 3)*(a + 1)**2/11
Let w(q) be the third derivative of -q**7/140 - q**6/80 + q**5/10 + q**4/4 - 356*q**2. Factor w(p).
-3*p*(p - 2)*(p + 1)*(p + 2)/2
Factor 6381*o + 2*o**3 - 44*o**2 - 30*o**2 - 3078 - 5535*o.
2*(o - 19)*(o - 9)**2
Suppose -228*i = -742*i - 236*i + 2191 - 691. Let -2/15*b**i - 26/15*b + 4 = 0. What is b?
-15, 2
Let t be 3630/242 + -18 + (-24)/(-4). Factor 56/3 - 10*n**2 + 8*n + 2/3*n**t.
2*(n - 14)*(n - 2)*(n + 1)/3
Let d be 54 + 2184/(-42) - ((-1 - 0) + 3). Let t = -2867/39 + 221/3. Suppose 0 - 8/13*u + d*u**2 + t*u**3 = 0. Calculate u.
-2, 0, 2
Factor -63*u - 6*u**3 - 93*u - 31 + 41 + 106*u**2 - 74.
-2*(u - 16)*(u - 2)*(3*u + 1)
Let n(a) be the third derivative of -a**7/315 + 4*a**6/45 + 7*a**5/6 + a**2 - 6*a - 153. Factor n(s).
-2*s**2*(s - 21)*(s + 5)/3
Let k(h) = 15*h**3 - 11*h**2 - 32*h + 6. Let c(a) = -2*a**2 + 11*a**2 + 30*a - 3 - 2 - 15*a**3 + a**2. Let s(g) = 6*c(g) + 5*k(g). Suppose s(t) = 0. What is t?
-1, 0, 4/3
Let y(m) be the third derivative of -m**7/504 - m**6/48 - m**5/12 + 7*m**4/8 - m**3/3 + 2*m**2 - 10. Let g(s) be the second derivative of y(s). Factor g(o).
-5*(o + 1)*(o + 2)
Suppose 2308*g = -2094*g. Let z = 9 - 6. Let 0*l + g - 2/7*l**5 - 6/7*l**z - 2/7*l**2 - 6/7*l**4 = 0. Calculate l.
-1, 0
Suppose -7*q + 4*q + 9 = 0. Let g = -60 + 193. Suppose 9*b**3 - b**q + 129*b**5 - g*b**5 - 4*b = 0. What is b?
-1, 0, 1
Let t(r) be the first derivative of -r**5/90 - 7*r**4/18 - 8*r**3/3 + 73*r**2/2 - 35. Let b(u) be the second derivative of t(u). Suppose b(p) = 0. Calculate p.
-12, -2
Let v = -22 + 24. Let f be 90/36 + v/4. Factor 9 + 18 - 27*y - 2*y**f + 9*y**2 + y**3 + 0.
-(y - 3)**3
Let o(u) be the third derivative of -u**6/40 - u**5 - 9*u**4/2 - 70*u**2 + 2*u - 24. Suppose o(p) = 0. Calculate p.
-18, -2, 0
Let l(x) = -x**2 + 19*x + 531. Let i be l(-32). Let z = 1105 + i. Determine b, given that z*b**2 - 9/2 - 3*b**3 + 1/2*b**4 + 3*b = 0.
-1, 1, 3
Let x(a) be the second derivative of a**6/50 - 177*a**5/100 + 621*a**4/10 - 5346*a**3/5 + 8748*a**2 + 67*a + 3. Factor x(f).
3*(f - 18)**3*(f - 5)/5
Let z(v) = -3*v + 66. Let k be z(22). Suppose 5*d = 4*b - 2, -b + k = -2*d + 1. Solve -6 - 7*a**2 + 6 - b*a + 6*a**2 = 0 for a.
-3, 0
Suppose 2*g = 4*g - 10. Let c be (-4)/((-8)/14)*1388/2429. Factor 0 + 0*z**2 - 1/5*z**g - 2/5*z**c + 3/5*z**3 + 0*z.
-z**3*(z - 1)*(z + 3)/5
Factor 4/11*f**4 + 0*f**3 - 4/11*f**2 + 0 - 2/11*f**5 + 2/11*f.
-2*f*(f - 1)**3*(f + 1)/11
Let j = 520 - 513. Let 18*o + 30*o**2 + 20*o**3 + 3 + 5*o**4 + j*o - 5*o + 2 + 0 = 0. Calculate o.
-1
Suppose -7*c + 19*c = 48. Suppose 3*d + 3 + 10 = 4*k, -2*k = -c*d - 4. Factor 2/19*z**5 + 0 - 4/19*z**k - 2/19*z + 0*z**3 + 4/19*z**2.
2*z*(z - 1)**3*(z + 1)/19
Find w, given that -5*w**2 + 153 + 52*w + 17*w**2 - 45 - 13*w**2 = 0.
-2, 54
Let r(k) be the second derivative of k**4/60 + 1099*k**3/30 - 110*k**2 - 2388*k + 1. Solve r(b) = 0.
-1100, 1
Let j(s) be the third derivative of s**7/525 + 7*s**6/150 + 19*s**5/50 + 3*s**4/5 - 36*s**3/5 + 19*s**2 + 22*s. Let j(c) = 0. Calculate c.
-6, -3, 1
Let n(r) = 1847 - 7*r**2 - 3*r + 16*r - 1842 + 12*r. Let k(t) = 8*t**2 - 26*t - 6. Let j(v) = 5*k(v) + 6*n(v). Determine g, given that j(g) = 0.
0, 10
Let q(h) = -2*h**4 - 22*h**3 - 72*h**2 + 26*h + 90. Let j(g) = 2*g**4 + 21*g**3 + 73*g**2 - 27*g - 99. Let c(x) = 2*j(x) + 3*q(x). Factor c(t).
-2*(t - 1)*(t + 1)*(t + 6)**2
Let f(a) be the first derivative of -a**6/15 + 18*a**5/25 + 5*a**4/2 - 22*a**3/5 - 3212. Find o such that f(o) = 0.
-3, 0, 1, 11
Suppose 5*b - 3 = 2*b - 5*d, -2*d + 6 = 0. Let c be (110/35)/(-1) - b. Suppose -6/7*t - 2/7*t**3 + c*t**2 + 2/7 = 0. Calculate t.
1
Let f(q) be the second derivative of 2/7*q**2 - 2*q - 1/210*q**6 + 11/42*q**3 + 3/28*q**4 + 1/140*q**5 - 15. Factor f(t).
-(t - 4)*(t + 1)**3/7
Suppose 6*f - 8 = -2*f. Let r be (2 - f)/((-8)/(-16)). Factor 265 - 271 + r*g**2 + g**2 + 3*g.
3*(g - 1)*(g + 2)
Let l = 970/3311 + 76/301. What is v in -2/11*v**4 + 0 + 10/11*v**3 - 14/11*v**2 + l*v = 0?
0, 1, 3
Suppose -20*w = -g - 21*w + 1, -3*g - 4*w = 0. Suppose -g*s + 5