 (5 - 0/1) + (-32 - (-15572)/255) + -33. Find j, given that 32/15*j + 0 + 128/15*j**2 + a*j**3 - 128/15*j**4 + 14/5*j**5 = 0.
-2/3, -2/7, 0, 2
Let c = 4379 + -4373. Let g(n) be the third derivative of -3/5*n**5 + 1/30*n**c - 32/3*n**3 + 0*n - 8*n**2 + 4*n**4 + 0. Solve g(x) = 0.
1, 4
Let u be (-135)/20*(303/5454)/(1/(-6)). Factor -u*g - 3/4*g**2 + 15/2.
-3*(g - 2)*(g + 5)/4
Let g(p) be the third derivative of -p**5/40 + 495*p**4/8 - 245025*p**3/4 - 4*p**2 - 390*p. Factor g(m).
-3*(m - 495)**2/2
Let l(y) be the second derivative of -3*y**5/20 + y**4/4 + 3*y**2 + 60*y. Let z(g) be the first derivative of l(g). Factor z(d).
-3*d*(3*d - 2)
Let 84905*s**2 - 1717*s - 86163*s**2 - 792 - 95*s + s**5 - 8*s**4 - 247*s**3 = 0. What is s?
-6, -1, 22
Let p(o) be the second derivative of o**6/90 - 31*o**5/60 - 17*o**4/6 - 2*o**3/9 + 68*o**2/3 + 9508*o. Factor p(i).
(i - 34)*(i - 1)*(i + 2)**2/3
Let u(f) be the third derivative of f**6/280 + 8*f**5/35 - 109*f**4/56 - 10*f**3 - 2739*f**2. Solve u(a) = 0.
-35, -1, 4
Let b = 121481 + -850359/7. Let 0 - b*n**2 - 8/7*n**4 + 2/7*n**5 + 12/7*n**3 + 2/7*n = 0. Calculate n.
0, 1
Let y = 373979/2 - 2617849/14. Solve -2/7*c**5 + 0 - 4/7*c**2 + 0*c + 4/7*c**4 + y*c**3 = 0 for c.
-1, 0, 1, 2
Let a be -1 + ((-267)/(-36) - (-12)/288*6). Solve a*s**2 - 4/3*s**4 - 4*s + 0 - 4/3*s**3 = 0.
-3, 0, 1
Let j(n) be the third derivative of 4*n**5/15 + 17*n**4 + 867*n**3/2 + 269*n**2 - 3*n. Factor j(c).
(4*c + 51)**2
Suppose 0 = -3*t + 12, 2*b - 2*t - 19 = -9. Factor 8*x - x**2 - b*x + 24*x + 4*x + 5*x.
-x*(x - 32)
Let 210594*k**2 - 29670392 + k**4 - 125645895 + 20529860*k + 836*k**3 - 86789*k**2 + 107177*k**2 = 0. Calculate k.
-281, 7
Let d = -1293351 + 1293353. What is g in -576/7 - 4/7*g**d + 96/7*g = 0?
12
Let g be (-77)/(-55)*5*(-4)/(-14). Let -8*r**g + 20*r**4 - 19*r**4 - r**3 + 6*r**2 = 0. What is r?
-1, 0, 2
Suppose -435*v = -213*v. Factor 15/8*y**4 - 3/8*y**5 + 0*y + 9/8*y**2 - 21/8*y**3 + v.
-3*y**2*(y - 3)*(y - 1)**2/8
Factor -538*h**2 - 4*h**3 + 138*h**2 + 384*h + 172*h**2 + 188*h**2.
-4*h*(h - 6)*(h + 16)
Suppose -4*n - 44 = 715*v - 719*v, 3*n - v + 3 = 0. Determine o so that 1/2*o**2 - n - o = 0.
-2, 4
Solve -83/8*t**2 + 19/4 + 131/8*t + 1/2*t**3 = 0 for t.
-1/4, 2, 19
Suppose 5*w = 3 + 7. Suppose 5*k - 30 = -y - 0, -k = -w*y + 115. Factor -280*p**4 - 365*p**3 + 38*p**5 - 1 - 118*p**5 - y*p - 215*p**2 - 5 + 1.
-5*(p + 1)**3*(4*p + 1)**2
Suppose -8*i - 46*i = -270. Suppose 3*g = 4*u, 5*g - 75 + 70 = i*u. Determine k so that 0*k - 2/9*k**2 + 0 + 0*k**u + 2/9*k**4 = 0.
-1, 0, 1
Suppose 4*d - 20 = 0, -3*d = -2*u - 0*u - 95. Let y = 42 + u. Let -4*r**4 - r + 0*r + r**3 - 6*r + y*r**4 + 6*r**2 + 2 = 0. What is r?
-2, 1/2, 1
Let j(y) = -y**3 + 1. Let o(w) = 8*w**2 - 15*w + 10. Let k(m) = -j(m) - o(m). Let g be k(9). Determine s, given that -4*s - 2 - 207*s**2 + g*s**2 + 8 = 0.
-3, 1
Solve 0 + 8/3*b - 1/3*b**2 + 1/3*b**4 - 8/3*b**3 = 0.
-1, 0, 1, 8
Let l(t) be the second derivative of -1/9*t**3 + 2/5*t**2 + 92*t - 7/30*t**4 + 0 - 1/15*t**5. Determine w, given that l(w) = 0.
-3/2, -1, 2/5
Let h = -649 + 644. Let n be -6 - (h - (-67)/(-3)). Determine d so that -1/3*d**3 + n + 4*d**2 - 16*d = 0.
4
Let m(h) be the third derivative of -h**7/630 - 29*h**6/360 + 9*h**5/10 - 67*h**4/18 + 68*h**3/9 + 1047*h**2. Factor m(b).
-(b - 2)**2*(b - 1)*(b + 34)/3
Let h(w) be the second derivative of -w**4/18 - 44*w**3/9 + 180*w**2 - 3176*w. Factor h(q).
-2*(q - 10)*(q + 54)/3
Let q(w) = 18*w**4 - 19*w**3 - 69*w**2 + 5. Let r(m) = 44*m**4 - 48*m**3 - 180*m**2 + 12. Let o(c) = -12*q(c) + 5*r(c). Suppose o(g) = 0. Calculate g.
-3, 0, 6
Let d(a) = a**2 - 6. Suppose 15 = 4*p + 3. Let r be d(p). Determine h so that -44*h**5 + 36*h**r + 8*h + 222 + 52*h**4 - 52*h**2 - 222 = 0.
-1, 0, 2/11, 1
Let m(l) = l**2 - l - 1. Let t(h) be the second derivative of -h**4/12 + h**3/6 + h**2 - 6*h. Let a(g) = 4*m(g) + 5*t(g). What is b in a(b) = 0?
-2, 3
Let i(g) be the first derivative of -3*g**4/28 + 22*g**3/7 - 57*g**2/14 - 18*g - 1110. Solve i(r) = 0.
-1, 2, 21
Determine g, given that 84*g**4 + 156*g + 115*g**5 - 480*g**2 + 110*g**5 + 117*g**5 + 288 + 113*g**5 - 39*g**3 - 464*g**5 = 0.
-2, -2/3, 1, 3, 8
Let q(t) = -115*t**4 - 110*t**3 + 15*t**2 - 10*t - 50. Let c(s) = -4*s**4 - 3*s**3 - s - 1. Let v(r) = -30*c(r) + q(r). Suppose v(g) = 0. Calculate g.
-1, 1, 2
Suppose -2*n + 7*n = q + 20, -2*n + 2*q = 0. Let -4*y**2 + 56*y**4 - 4*y**n + 4*y**5 + 128*y**3 - y**5 - 508*y**2 + 5*y**5 = 0. Calculate y.
-8, 0, 2
Let v be 1/((-1)/(-3 + -32)). Suppose -11*f - v*f = -230. Factor 2/11*n**f - 8/11*n**4 + 0 + 10/11*n**3 + 0*n - 4/11*n**2.
2*n**2*(n - 2)*(n - 1)**2/11
Let z(b) be the third derivative of b**5/360 - 5*b**4/72 - 14*b**3 - 2153*b**2 + 2. Factor z(m).
(m - 28)*(m + 18)/6
Let q(l) be the first derivative of -l**3/2 + 108*l**2 - 2085*l/2 - 258. Factor q(k).
-3*(k - 139)*(k - 5)/2
Let j = -485871 - -3401113/7. What is v in 20/7*v - j - 4/7*v**2 = 0?
1, 4
Suppose -36 = -32*h - 4*h. Let g(p) = -p**3 + 2*p**2 + 13*p - 14. Let d be g(h). Solve -3/5*j**2 + d - 6/5*j = 0.
-2, 0
Let v(f) = -f**2 - 16*f - 27. Let p be v(-12). Factor -a**5 - p*a**2 + 23*a**3 - 50*a**3 - 2*a**5 + 66*a**3 - 15*a**4.
-3*a**2*(a - 1)**2*(a + 7)
Let j = 33425 - 33420. Let u(n) be the second derivative of -5*n + 1/60*n**j + 5/36*n**4 + 0 + 0*n**3 + 0*n**2. Factor u(v).
v**2*(v + 5)/3
Let m(a) = 37*a**3 - 7*a**2 - 34*a - 34. Let r(w) = 13*w**3 - 2*w**2 - 12*w - 12. Let f(s) = 6*m(s) - 17*r(s). Factor f(v).
v**2*(v - 8)
Let m(f) be the first derivative of f**3/3 - 108*f**2 - 436*f + 10735. Factor m(t).
(t - 218)*(t + 2)
Let j be ((-48)/(-52))/(444/1924). Find t such that -6/5*t**3 - 2*t**2 + 2/5*t**j + 0 - 4/5*t + 2/5*t**5 = 0.
-1, 0, 2
Let n(g) be the third derivative of 32*g**7/105 + 4*g**6/3 + 17*g**5/15 + g**4/3 + 1466*g**2. Factor n(b).
4*b*(b + 2)*(4*b + 1)**2
Factor 20*b**3 - 750 - 140*b**2 + 5412*b - 125*b**2 - 9745*b + 5328*b.
5*(b - 6)*(b - 1)*(4*b - 25)
Let v(c) be the third derivative of c**6/540 + 11*c**5/270 - c**4/27 - 44*c**3/27 - 3708*c**2. Factor v(j).
2*(j - 2)*(j + 2)*(j + 11)/9
Let s(w) be the first derivative of 18*w**5/5 + 1128*w**4 + 279728*w**3/3 - 189504*w**2 + 127008*w - 1250. Solve s(h) = 0 for h.
-126, 2/3
Solve 1/6*q**3 + 7/3*q**2 + 13/2*q - 9 = 0.
-9, -6, 1
Let r(b) be the second derivative of 0 + 7/12*b**4 + 10*b + 0*b**3 - 25/2*b**2 + 1/30*b**5. Let s(o) be the first derivative of r(o). Find w such that s(w) = 0.
-7, 0
Let q = 475889/7 - 67967. Let -94/7*n**2 - 2*n**3 - q + 64*n = 0. What is n?
-10, 2/7, 3
Let q be 10/4*(-4)/5. Let y be (1/2 - q)*12/15. Factor k**y + 4 + k - 5*k**2 - 2*k + k**3.
(k - 4)*(k - 1)*(k + 1)
Factor -16*r + 252 - 71*r + 180*r + 3*r**2.
3*(r + 3)*(r + 28)
Let a be (-9)/((-360)/355) - 7/((-42)/(-48)). Suppose -a*v**2 - 33/8*v + 5/4 = 0. Calculate v.
-5, 2/7
Suppose 7*h = 16*h - 18. Suppose -f = x - h*f + 3, x - 2*f = -6. Determine n so that 6/17*n**3 + x*n - 2/17*n**2 + 0 = 0.
0, 1/3
Let a(n) be the first derivative of 3/14*n**4 + 0*n**2 + 3/35*n**5 + 39 - 3/7*n**3 + 0*n. Factor a(g).
3*g**2*(g - 1)*(g + 3)/7
Let t = -1039/9 - -121. Let l(b) = -b**2 - 34*b - 262. Let p be l(-22). Factor t + 2/9*a**p - 20/9*a.
2*(a - 5)**2/9
Let k(x) be the second derivative of -3 + 1/10*x**5 - 2*x - 31/12*x**4 + 5/2*x**3 + 0*x**2. Factor k(r).
r*(r - 15)*(2*r - 1)
Let v be 24/10*(19 + (-11661)/624). Suppose -4*n + n = -5*b + 30, -15 = 3*n. Suppose 0*h + 3/8*h**4 - v*h**b + 0 + 0*h**2 = 0. What is h?
0, 2
Let t(z) = -3*z**2 - 24*z + 51. Let w(i) = -12*i**2 - 99*i + 207. Let h(x) = 13*t(x) - 3*w(x). Suppose h(p) = 0. Calculate p.
-7, 2
Suppose 1455 = 15*q - 1650. Factor q*n + 0*n**5 - 207*n + 42*n**3 - 16*n**4 - 36*n**2 + 2*n**5.
2*n**2*(n - 3)**2*(n - 2)
Let v(l) = 4*l**4 - 1280*l**3 + 2127*l**2 - 976*l + 150. Let w(i) = -i**4 - i**3 + 4*i**2 + i + 2. Let a(n) = 2*v(n) - 10*w(n). Determine t so that a(t) = 0.
1/3, 1, 140
Determine q so that -1120 - 1206 + 195*q + 2392 - 9*q**2 = 0.
-1/3, 22
Let v = 8864/132735 - 1/8849. Let r(t) be the second derivative of v*t**6 + 3/10*t**5 + 0 + 1/6*t**4 - 2*t**2 - t**3 - 31*t. Factor r(i).
2*(i - 1)*(i + 1)**2*(i + 2)
Suppose 7422/7*f**2 + 3013/7*f + 1776/7*f**4 + 6596/7*f**3 - 9/7*f**5 + 402/7 = 0. Calculate f.
-2, -1