3*x - 372 = 3*d. Let z = -117 - d. Suppose -17*b**2 - 2*b**z + 9*b**3 - 2*b**3 - 25*b + 37*b**2 = 0. Calculate b.
-5, 0, 1
Let t(m) be the first derivative of m**5/80 + m**4/16 - 3*m**3/8 + 13*m**2/2 + 16. Let w(l) be the second derivative of t(l). Solve w(n) = 0 for n.
-3, 1
Let t be 2/(1572/(-30))*2/(-10). Let y = t + 517/917. Factor y*h**4 + 8/7*h**3 + 0*h**2 + 0 + 0*h.
4*h**3*(h + 2)/7
Suppose -68/3*t - 1/3*t**2 + 140/3 = 0. Calculate t.
-70, 2
Factor -9 + 285/2*m**2 + 849/2*m.
3*(m + 3)*(95*m - 2)/2
Suppose -7 = 3*u + 2. Let p be -4 + 10 + 16/u. Solve -1/3 - p*q**3 + 1/3*q**2 + 2/3*q = 0 for q.
-1, 1/2, 1
Let l(h) be the third derivative of 0*h - 1/5*h**5 - 62*h**2 + 1/60*h**6 + 0 + 8/3*h**3 - 1/3*h**4 + 1/105*h**7. Factor l(g).
2*(g - 2)*(g - 1)*(g + 2)**2
Let n be (-4022)/(-24) - (-6)/(-8). Let h = 167 - n. Factor -h*w**2 + 0*w + 1/6.
-(w - 1)*(w + 1)/6
Let t be 3/1 + 195/15. Let l(q) = -9*q**2 + 144*q. Let b be l(t). Factor -j**2 + b - 1/4*j**5 - 1/4*j - 3/2*j**3 - j**4.
-j*(j + 1)**4/4
Let h(c) be the third derivative of c**6/900 - 17*c**5/300 - 3*c**4/10 - 51*c**3/2 - 6*c**2 + 15. Let l(x) be the first derivative of h(x). Factor l(w).
2*(w - 18)*(w + 1)/5
Let l be (198/(-11) + 8)*-2*(-5)/(-60). Let q(y) be the third derivative of 14*y**2 + 0 + l*y**4 + 0*y + 1/12*y**5 + 40/3*y**3. What is n in q(n) = 0?
-4
Let q(k) be the third derivative of k**6/480 + 67*k**5/60 - 140*k**4/3 + 2272*k**3/3 - k**2 + 666*k. What is j in q(j) = 0?
-284, 8
Let s(z) be the first derivative of -3*z**4/16 + 7*z**3/12 + 9*z**2/4 + 2*z - 11. Factor s(c).
-(c - 4)*(c + 1)*(3*c + 2)/4
Let a(d) be the third derivative of d**6/24 - 11*d**5/2 + 615*d**4/8 - 450*d**3 - d**2 - 644*d. Suppose a(v) = 0. What is v?
3, 60
Let p(i) = -6*i**2 + 13*i + 2*i**3 - 8*i**2 - 242 + 261. Let k(q) = -q**3 + q**2 + q + 1. Let g(h) = -5*k(h) - p(h). Find b such that g(b) = 0.
-4, -1, 2
Let b(n) be the third derivative of n**5/30 - 11*n**4/12 + 23*n**3/6 - 2*n**2. Let g be b(10). Factor 6*s**2 + 1 + 11 - 21*s - 20*s**g + 23*s**3.
3*(s - 1)**2*(s + 4)
Let c(d) = 1. Let s(o) = o**2 + o + 2. Let w(z) = 5*z**2 + 16*z + 29. Let v(b) = -6*s(b) + w(b). Let k(l) = -6*c(l) + v(l). Determine g, given that k(g) = 0.
-1, 11
Let f(x) = -202*x - 2217. Let u be f(-11). Factor 36/13*s**3 + 16/13*s + 0 + 2/13*s**u + 14/13*s**4 + 40/13*s**2.
2*s*(s + 1)*(s + 2)**3/13
Find p such that 43*p**2 - 150*p + p**2 + 72 + 16*p**2 - 27*p**2 = 0.
6/11, 4
Let a be -4*((-44)/(-256))/(22/(-88)). What is s in 7/4*s**3 - 7/4*s - 1/2 + a*s**2 - 9/4*s**4 = 0?
-1, -2/9, 1
Suppose 7*r = -5*i + 3*r, i + 4*r - 16 = 0. Let y be 1 - (i - -4 - 1). Factor -2*u**2 - 3*u + y*u**2 + 3*u**2 + 1 - 4*u**3 + 3*u**3.
-(u - 1)**3
Let k be 7/4 + 25724/(-22672). Factor 0*b**2 + 0 - 2/13*b**3 + k*b.
-2*b*(b - 2)*(b + 2)/13
Let a(t) be the first derivative of -2*t**6/3 - 562*t**5/25 - 3*t**4/5 + 1246*t**3/15 + 38*t**2 - 336*t/5 + 6028. Solve a(y) = 0 for y.
-28, -1, 2/5, 3/2
Let j(u) be the third derivative of 8/33*u**3 - 23/660*u**6 - 147 - 2*u**2 - 1/231*u**7 - 1/11*u**5 - 1/33*u**4 + 0*u. Determine p, given that j(p) = 0.
-2, -1, 2/5
Let p be (10/15)/((-1)/(-3) + 0). Let s be 7 + (3 - p)*(3 - 6). Determine o, given that 6*o**3 + 2*o**s + 235*o + 4*o**2 - 235*o = 0.
-2, -1, 0
Determine h, given that 2*h**2 - 16286*h - 17 + 16290*h - 13 = 0.
-5, 3
Let p(a) be the second derivative of a**5/15 + 11*a**4/9 - 2*a**3/9 - 22*a**2/3 - 2112*a. Solve p(v) = 0.
-11, -1, 1
Let c(a) be the third derivative of -a**5/20 + 667*a**4/32 + 167*a**3/8 + 2529*a**2. Factor c(x).
-3*(x - 167)*(4*x + 1)/4
Let -50*m**3 - 48*m + 36*m**3 + 2*m**4 - 38*m**2 - 12*m**3 + 38*m**3 = 0. What is m?
-8, -1, 0, 3
Factor 26*x + 41*x - 37*x - 66*x**2 - 3*x**3 + 2*x + 37*x.
-3*x*(x - 1)*(x + 23)
Factor -390/7*j + 0 - 2/7*j**2.
-2*j*(j + 195)/7
Let i = -57 - -57. Suppose -6 - 8 = -15*k + 8*k. Let 0*p**3 + 0 + i*p - 2/5*p**4 + 2/15*p**5 + 8/15*p**k = 0. Calculate p.
-1, 0, 2
Let v(k) = -5*k**2 - 84*k + 428. Let s(t) = 7*t**2 + 112*t - 572. Let z(o) = -8*s(o) - 11*v(o). Factor z(x).
-(x - 22)*(x - 6)
Suppose 3*b = -1414 - 785. Let s = b + 736. Factor 5/3*y**s + 0*y**2 + 0 + 0*y.
5*y**3/3
Suppose 0 = 4*j + 5*v - 16, 16 = -4*v - 0*v. Let -j*p**3 - 4*p**2 - 11*p**3 - 2*p**3 - 28*p**4 = 0. What is p?
-1/2, -2/7, 0
Let o = 76960 - 538717/7. Factor -18/7*h + o*h**2 + 15/7.
3*(h - 5)*(h - 1)/7
Let h(i) be the first derivative of i**5/45 + 2*i**4/9 - 10*i**3/9 - 24*i**2 + 2*i - 50. Let f(v) be the second derivative of h(v). Find p such that f(p) = 0.
-5, 1
Let g = 239303 - 239299. Determine n so that -n**3 + 5/8*n**g + 3/4*n**5 + 1/4*n + 1/8 - 3/4*n**2 = 0.
-1, -1/3, 1/2, 1
Let h(i) be the first derivative of i**5/30 + 2*i**4/9 + 5*i**3/9 + 2*i**2/3 + 62*i - 5. Let x(y) be the first derivative of h(y). Find t such that x(t) = 0.
-2, -1
What is c in 915*c + 9*c**2 - 2784 + 1434 + 431*c**2 - 5*c**3 = 0?
-3, 1, 90
Let j be (-28)/4 + 7 - (108/(-16) + 6). Let x(s) be the second derivative of -3/20*s**5 + 0 + j*s**4 + 18*s + 3/2*s**2 - 3/2*s**3. Suppose x(t) = 0. What is t?
1
Factor 1/2*c**3 - 171*c**2 + 510 + 677/2*c.
(c - 340)*(c - 3)*(c + 1)/2
Factor -1133571*b - 7739786 + 3*b**4 - 473*b**3 - 2884216*b - b**4 + 4*b**4 - 74889*b**2 - 7*b**4.
-(b + 2)*(b + 157)**3
Let y(z) be the second derivative of z**5/9 - z**4/6 - 4*z**3/9 + 55*z**2 + 79*z + 2. Let o(n) be the first derivative of y(n). Factor o(u).
4*(u - 1)*(5*u + 2)/3
Let r = 7/35403 + 106160/247821. Suppose r*a + 1/7*a**2 + 2/7 = 0. What is a?
-2, -1
Factor -2180*r**3 - 20160*r**2 + 0 - 90*r**4 - 5/4*r**5 - 62720*r.
-5*r*(r + 8)**2*(r + 28)**2/4
Let o be (-3)/(-30) - 14428/(-20). Let t = -721 + o. Determine m, given that -t*m**2 - 1 + 3/2*m = 0.
1, 2
Let d(t) = -4*t + 10. Let z be d(-5). Suppose z = 3*i + 24. Let 3*g - 14*g**i + 3 - 9*g + 17*g**2 = 0. Calculate g.
1
Let n = 27 + -25. Let b(g) = -29*g - 21*g - 2 + 47*g - 7*g**n. Let t(s) = -50*s**2 - 20*s - 15. Let d(v) = -15*b(v) + 2*t(v). Find u such that d(u) = 0.
-1, 0
What is a in 226*a**2 + 4468*a + 307*a**2 - 552 - 169*a**2 - 4584*a - 4*a**4 - 76*a**3 = 0?
-23, -1, 2, 3
Determine w so that 135360*w**3 + 1110*w**2 + 5*w**4 - 508*w**2 + 1183*w**2 - 135170*w**3 = 0.
-21, -17, 0
Let g(t) be the second derivative of -3*t**5/100 - 48*t**4/5 + t**3/10 + 288*t**2/5 + 6386*t. Factor g(p).
-3*(p - 1)*(p + 1)*(p + 192)/5
Let i = 319796 + -1279183/4. Factor -i*f**3 - 7/4*f**2 - 3/2*f + 0.
-f*(f + 1)*(f + 6)/4
Let t(c) be the third derivative of c**6/720 - 43*c**5/360 + 55*c**4/18 + 121*c**3/9 + 4*c**2 + 994*c. Solve t(i) = 0 for i.
-1, 22
Suppose 11 = 6*a - 13. Factor 17*c - 3*c**3 + 8*c**2 - 26*c**2 + 37*c + 2*c**a - 3*c**3.
2*c*(c - 3)**2*(c + 3)
Factor 1/7*f**2 + 58/7*f + 216/7.
(f + 4)*(f + 54)/7
Let w be 2 + (176/(-33) - (-4)/(-6)). Let g be (84 - 89)/(22/w). Factor -28/11*b + g + 14/11*b**2 + 4/11*b**3.
2*(b - 1)*(b + 5)*(2*b - 1)/11
Let o(i) = -6*i**3 + 24*i**2 + 1205*i + 5279. Let a(u) = 2*u**3 - 8*u**2 - 402*u - 1760. Let b(d) = 13*a(d) + 4*o(d). Suppose b(v) = 0. What is v?
-7, 18
Let s = -3767 - -1639. Let f = -27660/13 - s. Let 4/13*g**4 + 0 - 2/13*g**5 + 2/13*g + 0*g**3 - f*g**2 = 0. Calculate g.
-1, 0, 1
Suppose 7*v - 123 - 178 = 0. Let x = 45 - v. Let 226*w**2 + 1 - 4 - 229*w**x - 6 + 12*w = 0. What is w?
1, 3
Let q(s) be the first derivative of s**4/3 - 4*s**3 - 32*s**2 - 58*s - 41. Let k(f) be the first derivative of q(f). Factor k(z).
4*(z - 8)*(z + 2)
Let t(q) be the second derivative of q**6/30 + 14*q**5/5 + 55*q**4/12 - q - 855. Factor t(n).
n**2*(n + 1)*(n + 55)
Suppose -37*x = 46*x - 112*x + 58. Let y(d) be the second derivative of 1/20*d**5 + 1/3*d**4 + 0*d**x + 0 + 0*d**3 + 43*d. Find i such that y(i) = 0.
-4, 0
Let j be ((-16386)/(-336) - -8) + ((-80)/(-32))/(80/12). Factor -j + 120/7*y + 2/7*y**3 + 36/7*y**2.
2*(y - 2)*(y + 10)**2/7
Let f = -3 - -9. Let q(p) be the first derivative of 3*p**2 - 6*p**2 - f*p**2 - 28*p - 16 + 7*p + p**3. Suppose q(s) = 0. Calculate s.
-1, 7
Let w = 87741/140 + -17079/35. Factor -20535/4*i - w*i**2 - 253265/4 - 5/4*i**3.
-5*(i + 37)**3/4
Factor -186*x**2 - 2/5*x**3 + 328536/5 - 106704/5*x.
-2*(x - 3)*(x + 234)**2/5
Suppose -232*i = -234*i + 5*c - 5, -3*c + 3 = 0. Let g(p) be the second derivative of 18*p - 5/4*p**3 + i + 45/8*p**