17*n**5 + 258/17*n**4 + 0 = 0. What is n?
-2, 0, 135
Let n(g) be the third derivative of g**8/168 + 26*g**7/105 + 16*g**6/5 + 48*g**5/5 + 631*g**2. Factor n(d).
2*d**2*(d + 2)*(d + 12)**2
Let n = 1706066/7 - 243720. Find c such that -10/7*c**3 + 0 - n*c**2 - 12/7*c = 0.
-2, -3/5, 0
Suppose 24 - 10*o**3 - 3/2*o**4 + 55*o + 45/2*o**2 = 0. What is o?
-8, -1, -2/3, 3
Let w(f) = -f + 14. Let b be w(-13). Let d be ((-22)/18 + 1)/((-18)/b). Factor 3/2*o**4 - 5/3*o**2 + 5/6*o**5 - 1/2*o + 1/6 - d*o**3.
(o - 1)*(o + 1)**3*(5*o - 1)/6
Suppose 23*z = 3*z + 80. Let t(n) be the third derivative of -7*n**2 + 0*n - 1/24*n**z - 1/60*n**5 + 1/3*n**3 + 0. Let t(g) = 0. Calculate g.
-2, 1
Factor 93/7*k**2 + 3/7*k**3 + 663/7 + 753/7*k.
3*(k + 1)*(k + 13)*(k + 17)/7
Factor 0 + 11163/4*c + 93*c**4 + 5949/2*c**3 + 5673*c**2 + 3/4*c**5.
3*c*(c + 1)**2*(c + 61)**2/4
Let t(p) = 2*p**2 - p + 14. Let v be t(8). Suppose 5*d - 4*d = v. Factor -3*r**3 - 136*r**4 + d*r**4 + r**3.
-2*r**3*(r + 1)
Suppose 5*s + 2*m - 20 = 0, -2*s - 1 = -2*m + 5. What is n in 49*n**2 - 22*n**s + 4*n**4 - 20*n**3 + 20*n - 31*n**2 = 0?
-1, 0, 1, 5
Let q(c) = -120*c**2 - 1370*c + 6730. Let n(g) = 11*g**2 + 125*g - 612. Let a(b) = -65*n(b) - 6*q(b). Factor a(t).
5*(t - 5)*(t + 24)
Let j(k) = 57*k**3 - 214*k**2 - 313*k - 63. Let q(u) = -18*u**3 + 71*u**2 + 104*u + 21. Let g(a) = -2*j(a) - 7*q(a). Solve g(m) = 0.
-1, -1/4, 7
Let z = -24517/371 - -3510/53. Let 9/7*f**3 + f**2 + 2/7*f + z*f**5 + 5/7*f**4 + 0 = 0. What is f?
-2, -1, 0
Solve -5/4*n**4 - 50*n**3 - 895/2*n**2 + 1050*n - 2205/4 = 0 for n.
-21, 1
Let m(k) be the third derivative of k**5/15 + 127*k**4/6 + 2552*k**3/3 + k**2 - 92*k + 2. Let m(x) = 0. What is x?
-116, -11
Let c be (12/(-30)*-2)/((-3)/(-15)). Factor 16*s + 223 + 217 - c*s**2 - 452.
-4*(s - 3)*(s - 1)
Factor 223/4*a**2 + 85*a - 43 + 5/4*a**3.
(a + 2)*(a + 43)*(5*a - 2)/4
Let b = 53356/16805 + 84/3361. Determine y so that 36/5*y + 0*y**3 + 22/5*y**2 + b - 2/5*y**4 = 0.
-2, -1, 4
Let d(i) = i**3 + 12*i**2 + 7*i + 94. Let s be d(-12). Suppose -5*u**4 - 5*u**2 + s*u**3 + 1042*u - 1042*u = 0. Calculate u.
0, 1
Let s(f) = 28*f**4 - 504*f**3 + 15860*f**2 + 444*f - 15864. Let i(d) = 2*d**4 - d**2 - 5*d + 1. Let w(g) = 12*i(g) - s(g). Suppose w(h) = 0. Calculate h.
-1, 1, 63
Let a(c) be the third derivative of c**8/2520 - 83*c**7/1575 + 92*c**6/45 - 32*c**5/3 - 341*c**2. Factor a(n).
2*n**2*(n - 40)**2*(n - 3)/15
Let n(b) be the third derivative of -b**7/42 + 61*b**6/12 - 1199*b**5/4 - 9455*b**4/6 - 9610*b**3/3 - 450*b**2. Factor n(r).
-5*(r - 62)**2*(r + 1)**2
Let f(w) be the third derivative of 7/60*w**4 + w**2 - 10*w - 2/5*w**3 + 0 - 1/150*w**5. Determine x so that f(x) = 0.
1, 6
Factor 3/7*y**2 - 75/7 + 0*y.
3*(y - 5)*(y + 5)/7
Suppose 2*f + 4*q = 3*f + 4, 0 = -q + 2. Let l be f/(-40) - 161/(-10). What is x in 36*x**3 + 18*x**2 - 2*x**2 - l*x + 5*x**4 + 32*x**2 - 33*x**4 = 0?
-1, 0, 2/7, 2
Suppose 7 = 4*p - 53. Suppose 58*v = 53*v + p. Solve -2/13*n**v + 8/13*n - 6/13*n**2 + 0 = 0.
-4, 0, 1
Suppose 549 = -r + 551. Let c(x) be the second derivative of 2/3*x**4 + 2/3*x**3 + 0*x**r + 1/5*x**5 - x + 0. Factor c(d).
4*d*(d + 1)**2
Let d(u) be the first derivative of -3*u**4/32 - 41*u**3/4 - 1677*u**2/4 - 7605*u + 6429. Factor d(i).
-3*(i + 26)**2*(i + 30)/8
Let g = 5 + 4. Suppose g = 3*c - 0. Factor -b**4 + b**2 + 11*b**3 - 8*b**c + 2*b**4 - 5*b**3.
b**2*(b - 1)**2
Let o = 3064/1845 + -170/369. Let c(m) be the second derivative of 1/25*m**5 - o*m**2 - 2/15*m**3 + 1/5*m**4 + 32*m + 0. Let c(k) = 0. Calculate k.
-3, -1, 1
Let d(r) = -33*r**2 - 102*r + 1008. Let c(i) = 15*i**2 + 51*i - 504. Let z(m) = 9*c(m) + 4*d(m). Factor z(p).
3*(p - 7)*(p + 24)
Let a be (1/3)/(70/112371). Let u = -535 + a. Let -u*y - 1/10*y**2 + 0 = 0. What is y?
-1, 0
Let c(k) be the second derivative of k**5/80 - k**4/3 + 7*k**3/6 + 5330*k. Let c(z) = 0. Calculate z.
0, 2, 14
Let i = -67278 - -67281. Solve 1/3*m**2 + 20/3 + 1/3*m**i - 16/3*m = 0 for m.
-5, 2
Let m(d) be the first derivative of d**6/72 - 2*d**5 + 120*d**4 - d**3/3 + 50. Let v(y) be the third derivative of m(y). Factor v(u).
5*(u - 24)**2
Suppose 4*u = -8*a + 6*a - 3206, -1591 = 2*u - 3*a. Let v = -798 - u. What is d in -5/2*d**v + 5/2 + 5*d - 5*d**3 = 0?
-1, -1/2, 1
Let i = 11519/17184 - 21/5728. Factor -4/3*t**2 - 1/3*t**3 - 5/3*t - i.
-(t + 1)**2*(t + 2)/3
Find i such that 2/15*i**2 + 16/5 - 10/3*i = 0.
1, 24
Let m = -23907 - -1004099/42. Let b(u) be the second derivative of 0 - 5*u**2 + 0*u**6 + m*u**7 - 18*u - u**5 + 5/2*u**3 + 5/6*u**4. Factor b(w).
5*(w - 1)**3*(w + 1)*(w + 2)
Let l = -1/7393 + 547147/480545. Let m = 20/13 - l. Solve 2/5 - m*t**2 + 1/5*t**3 - 1/5*t = 0.
-1, 1, 2
Let p(m) be the third derivative of m**5/48 - 4025*m**4/48 - 2685*m**3/8 - 4020*m**2 + 3*m. Determine y, given that p(y) = 0.
-1, 1611
Let r(q) be the first derivative of 13*q**5/5 + 32*q**4 + 409*q**3/3 + 201*q**2 - 72*q + 449. Find n, given that r(n) = 0.
-4, -3, 2/13
Let v(a) be the third derivative of 1/90*a**5 - 1/9*a**3 + 0 - 1/720*a**6 - 3*a + 1/144*a**4 + 11*a**2. Determine y, given that v(y) = 0.
-1, 1, 4
Let a(o) be the third derivative of -36*o - 5/4*o**4 + 0 - 2*o**2 - 7/20*o**5 + 8*o**3 + 1/40*o**6. Factor a(v).
3*(v - 8)*(v - 1)*(v + 2)
Let g = 468682 + -10779632/23. Factor -54/23*b - g - 18/23*b**2 - 2/23*b**3.
-2*(b + 3)**3/23
Let n(v) be the first derivative of v**4/12 - 56*v**3/9 - 299*v**2/6 - 122*v - 4397. Find p, given that n(p) = 0.
-3, -2, 61
Let p be (-42)/(-4)*(-168)/294. Let b be -3 + p + -9*(-125)/120. Factor -3/8*k + 3/8*k**3 - 3/8*k**2 + b.
3*(k - 1)**2*(k + 1)/8
Let n be 8 + 38/(-76)*2*1. Let o(u) be the third derivative of -16*u**2 + 0 - 1/10*u**4 + 1/14*u**n + 6/25*u**5 + 0*u - 9/40*u**6 + 0*u**3. Factor o(a).
3*a*(a - 1)*(5*a - 2)**2/5
Let h(y) be the second derivative of -y**4/48 + y**3/4 + 2*y**2 + 247*y + 2. Find m, given that h(m) = 0.
-2, 8
Let i be (-2)/20*(-1 + -1). Let n = -7324 - -7327. Let i*a**2 + 0*a + 0 + 4/5*a**n = 0. Calculate a.
-1/4, 0
Let v(t) = -2*t**2 - 4*t - 2. Let d(w) = -16*w**2 - 1564*w - 294926. Let r(f) = d(f) - 7*v(f). Factor r(m).
-2*(m + 384)**2
Find u, given that u**3 + 83738 + 588*u**2 + 85025 + 76228 - 73293 + 87021*u = 0.
-293, -2
Let i(g) = -4*g**2 + 1. Let s(q) = -23*q**2 - 111*q - 751. Let d(a) = -5*i(a) + s(a). Solve d(p) = 0 for p.
-28, -9
Let g(b) be the second derivative of -b**6/135 + 43*b**5/15 - 16381*b**4/54 - 11180*b**3/9 - 16900*b**2/9 - 2873*b. Factor g(q).
-2*(q - 130)**2*(q + 1)**2/9
Let k(t) be the third derivative of -t**5/15 - 213*t**4 - 272214*t**3 - 14*t**2 - 149. Find o, given that k(o) = 0.
-639
Suppose 45*b = 28*b - 68*b - 96*b. Factor -2/7*g**4 + 2/7*g**2 + b + 4/7*g**3 - 4/7*g.
-2*g*(g - 2)*(g - 1)*(g + 1)/7
Let h(f) be the second derivative of 5*f**7/42 + 13*f**6/6 + 11*f**5/4 - 65*f**4/12 - 10*f**3 + 1110*f. Solve h(o) = 0 for o.
-12, -1, 0, 1
Let f(j) be the second derivative of -j**5/5 + 29*j**4/21 + 48*j**3/7 + 72*j**2/7 - 198*j - 1. Factor f(v).
-4*(v - 6)*(v + 1)*(7*v + 6)/7
Let m(q) be the first derivative of -285/8*q**2 + 75/2*q + 3*q**3 + 27/4*q**4 + 244. Let m(t) = 0. What is t?
-2, 5/6
Suppose 88*y - 381 - 59 = 0. Let k(f) be the second derivative of 0*f**2 + 4/5*f**y - 1/3*f**4 - 4/9*f**3 + 8/9*f**6 + 0 + 9*f. Factor k(g).
4*g*(2*g + 1)**2*(5*g - 2)/3
Let c = 973/86 - 293/43. Find s, given that 27/4 - c*s + 3/4*s**2 = 0.
3
Let h(i) be the second derivative of -i**4/20 - 30*i**3 - 2673*i**2/10 + 24*i - 72. Suppose h(y) = 0. Calculate y.
-297, -3
Let n = -114/295 + 306/59. Factor -32/5*m + 2*m**3 + 1/5*m**4 + n*m**2 - 128/5.
(m - 2)*(m + 4)**3/5
Factor 1/5*q**3 + 0 - 612/5*q**2 + 0*q.
q**2*(q - 612)/5
Let i be (-627)/(-22)*(-16)/12. Let b be (-2360)/(-760) - (-4)/i. Find h such that -64/5*h - 12/5 - 5*h**b - 19*h**2 = 0.
-3, -2/5
Let b(h) be the first derivative of h**4/24 - h**3/3 - 3*h**2 + 38*h + 4. Let z(t) be the first derivative of b(t). Factor z(f).
(f - 6)*(f + 2)/2
Let 12 - 8/3*h**2 - 2*h + 2/3*h**3 = 0. Calculate h.
-2, 3
Factor 15602*o**2 - 519 - 15600*o**2 + 2187 + 562*o.
2*(o + 3)*(o + 278)
Let x(y) = 45 - 6*y + y**3 - 29 - 21. Let u be x(-1). Find m such that -4/7*m**2 + 0 + 2/7*m**3 + 2/7*m**4 + u*m = 0.
-2, 0, 1
Let b(h) = -h + 3. Let p = 26 + -28. Le