r u + 2/3 + v*u**2.
(u + 1)*(u + 2)/3
Suppose 75 = -y - 3*y + 29*y. Let r(k) be the second derivative of -1/90*k**6 + 1/60*k**5 + 0 - 17*k + 1/12*k**4 - 5/18*k**y + 1/3*k**2. Factor r(i).
-(i - 1)**3*(i + 2)/3
Suppose -975 - 105 = -252*a - 288*a. Find b, given that 25 + 9/2*b**3 - 45*b + 61/4*b**a + 1/4*b**4 = 0.
-10, 1
Let i = 583 + -579. Factor 11999*q - 79492 - 8*q**4 - 123008 - 65999*q - 240*q**3 - 5400*q**2 + i*q**4.
-4*(q + 15)**4
Let l(i) = 108*i**2 - 27*i - 30. Let g(d) = 216*d**2 - 55*d - 61. Let h be ((-96)/72)/(((-8)/(-9))/4). Let b(w) = h*g(w) + 11*l(w). What is m in b(m) = 0?
-4/9, 3/4
Let t(y) be the first derivative of -2*y**6/3 + 136*y**5/5 + 35*y**4 - 770. Suppose t(p) = 0. What is p?
-1, 0, 35
Suppose 1/2*y**4 + 0 + 19/4*y**3 - 1/4*y**5 - 8*y**2 - 12*y = 0. Calculate y.
-4, -1, 0, 3, 4
Let v = 273292 + -273289. Let w be 1/2*12/3. Determine r so that -1/3*r**5 - 2/3*r + 0 - 5/3*r**4 - v*r**3 - 7/3*r**w = 0.
-2, -1, 0
Let 85*j**3 - 97*j + 5*j**4 + j**2 - 27*j**2 + 12*j + 21*j**2 = 0. Calculate j.
-17, -1, 0, 1
Let z = 44006/82455 - 2/5497. Let s(t) be the first derivative of -2/5*t + 4/5*t**2 - 10 - z*t**3. Find r, given that s(r) = 0.
1/2
Let w(y) be the third derivative of -y**8/112 + 7*y**6/40 - 3*y**5/10 - 674*y**2 - 5*y + 2. Find h, given that w(h) = 0.
-3, 0, 1, 2
Suppose -j - 2*h + 12 = j, j + 2*h - 9 = 0. Determine m, given that -108605*m + 3*m**4 - 20*m**2 - j*m**2 + m**2 - 7*m**3 + 108613*m = 0.
-2, 0, 1/3, 4
Let q = -481215 - -481217. Factor 2/3*t**q + 4 + 10/3*t.
2*(t + 2)*(t + 3)/3
Let f(u) be the second derivative of -u**7/20160 - 3*u**6/640 + 14*u**4/3 - 233*u. Let w(h) be the third derivative of f(h). Factor w(n).
-n*(n + 27)/8
Suppose r = -q, 4*r - 2*q - 6 = -0. Let g = -4009875 - -4009880. Suppose -11/5*j - 2/5*j**2 + 2*j**3 - r + 1/5*j**g + 7/5*j**4 = 0. Calculate j.
-5, -1, 1
Let q be (-12)/(-8)*(-90)/(-1485). Let u(p) be the first derivative of -7 + 2/33*p**3 - 4/11*p + q*p**2. Let u(s) = 0. What is s?
-2, 1
Factor 1632*m - 5*m**2 - 1305 - 3711*m + 1629*m.
-5*(m + 3)*(m + 87)
Let m(h) be the first derivative of h**3/3 - 25*h**2/2 - 148*h + 262. Let j be m(30). Factor 8/13*p + 10/13*p**3 + 0 + 2/13*p**4 + 16/13*p**j.
2*p*(p + 1)*(p + 2)**2/13
Let p(j) be the third derivative of 14 + 11/96*j**4 - 3*j**2 + 1/30*j**5 + 0*j + 1/480*j**6 - 5/6*j**3. Factor p(s).
(s - 1)*(s + 4)*(s + 5)/4
Let c(l) = 2267*l - 11335. Let s be c(5). Let 0*x + s + 8/5*x**2 + 6/5*x**5 - 24/5*x**3 - 2/5*x**4 = 0. What is x?
-2, 0, 1/3, 2
Let w(n) be the first derivative of n**9/13608 - n**8/7560 - n**7/1890 - n**3/3 + 23*n**2 + 103. Let z(q) be the third derivative of w(q). Factor z(h).
2*h**3*(h - 2)*(h + 1)/9
Let l(r) be the second derivative of r**8/504 + 146*r**2 + 58*r. Let f(a) be the first derivative of l(a). Let f(d) = 0. Calculate d.
0
Let j(d) be the first derivative of d**4/36 + 55*d**3/18 - 28*d**2/3 - 123*d - 119. Let k(y) be the first derivative of j(y). Find m such that k(m) = 0.
-56, 1
Let z = -3352222/5 + 670446. Factor 4/5*f**5 + 0 - z*f**2 + 0*f**3 - 4/5*f + 8/5*f**4.
4*f*(f - 1)*(f + 1)**3/5
Let t(w) be the first derivative of w**9/9072 + w**8/2520 + w**7/2520 + 85*w**3/3 - w**2 - 76. Let m(l) be the third derivative of t(l). Factor m(u).
u**3*(u + 1)**2/3
Factor 859*j**3 - 41*j**2 - 844*j**3 + j**4 + 8*j**2 + 17*j.
j*(j - 1)**2*(j + 17)
Let d(h) be the third derivative of -h**7/70 - 131*h**6/40 + h**5/20 + 131*h**4/8 + 933*h**2 - 2*h + 2. Factor d(o).
-3*o*(o - 1)*(o + 1)*(o + 131)
Let l(n) be the third derivative of n**7/960 + n**6/320 - n**5/320 + 3*n**4/8 + n**3/2 - 2*n**2 - n. Let w(v) be the second derivative of l(v). Factor w(m).
3*(m + 1)*(7*m - 1)/8
Suppose -111*d + 108*d = 4*i - 18, d = -4*i + 14. Let a(s) be the second derivative of 42*s - 1/6*s**4 + 2*s**2 + 1/3*s**i + 0. Find p, given that a(p) = 0.
-1, 2
Let y be (-3)/(-5) - (-4)/(2520/(-243)). Let k = y - -3/2. Factor -2/7*l**2 + 0 - k*l.
-2*l*(l + 6)/7
Let m be 1/(((-11)/21)/11). Let r be (-6)/m - (3/(-63) + 0). Determine v, given that 1/3*v**3 - r*v**2 + 0*v + 0 - 1/3*v**5 + 1/3*v**4 = 0.
-1, 0, 1
Let 1590*n + 421350 + 3/2*n**2 = 0. Calculate n.
-530
Let q(n) be the third derivative of -2/27*n**3 + 7/216*n**4 - 1/1080*n**6 + 14*n**2 + 0 + n - 1/270*n**5. Factor q(m).
-(m - 1)**2*(m + 4)/9
Let p(d) be the second derivative of d**6/270 + 13*d**5/180 + d**4/54 - 98*d**3/27 + 44*d**2/3 - 1501*d. Suppose p(w) = 0. What is w?
-11, -6, 2
Let c be 2/(-4)*4/(-40)*0. Let i(v) be the third derivative of 15*v**2 + 0 + 1/16*v**4 + 0*v**6 + 0*v - 3/80*v**5 + c*v**3 + 1/280*v**7. What is o in i(o) = 0?
-2, 0, 1
Let z(q) be the first derivative of q**5/20 - 9*q**4/16 - 10*q**3/3 + 6*q**2 - 1724. Find f such that z(f) = 0.
-4, 0, 1, 12
Suppose 35 = 3*r + 2*i - 3, -2*r = 4*i - 12. Suppose -34*d = -30*d - r. Factor x**4 - 4*x**4 + 5*x**d - 4*x**3 - 8 + 16*x - 6*x**2.
2*(x - 2)*(x - 1)**2*(x + 2)
Let n = 54164 - 270802/5. Suppose 26/5*k - 26/5*k**3 - n*k**2 - 4/5 + 22/5*k**4 = 0. Calculate k.
-1, 2/11, 1
Let a be (3 - 4 - -5) + 61. Find w, given that -60*w + 5*w + 120*w**3 - 15*w**5 - 185*w - 1040 + 520*w**2 - a*w**4 = 0.
-13/3, -2, 2
Suppose 128/5*u - 18/5*u**2 + 672/5 - 2/5*u**3 = 0. What is u?
-12, -4, 7
Let n be (-2)/10 - (-772)/10. Let x be 22/80 - (-1 + n/88). What is k in -8/5*k - 16/5*k**5 - 2/5*k**2 + 8/5*k**4 - x + 4*k**3 = 0?
-1/2, 1
Let k(p) be the first derivative of -2*p**5/35 + 71*p**4/14 - 278*p**3/21 + 69*p**2/7 + 1107. Factor k(t).
-2*t*(t - 69)*(t - 1)**2/7
Suppose 3*t - 6*b - 114 = 0, -1342*b = -t - 1343*b - 16. Factor -15*u**t + 256 - 1/2*u**3 - 96*u.
-(u - 2)*(u + 16)**2/2
Let p be 168/10*7/63*30. Let a be (-16)/12 - p/21 - -6. Suppose -100/7*g**4 + 1408/7*g - 256/7 + 880/7*g**3 - 2256/7*g**a = 0. Calculate g.
2/5, 4
Suppose -2*j = -5*o + 14 - 2, 5*j + 2*o + 1 = 0. Let s be -4 + (-18)/(-9) + (-5)/j. Solve 0 - 4/7*w - 10/7*w**2 + 2*w**s = 0.
-2/7, 0, 1
Let h(u) = -u**2 - 6*u - 4. Let o be h(-3). Suppose o*s - 4*f - 18 - 8 = 0, 2*f + 16 = 4*s. Solve 2/7 - 1/7*q**s + 1/7*q = 0 for q.
-1, 2
Factor -119/4*n + 11/4*n**2 - 11/2.
(n - 11)*(11*n + 2)/4
Suppose 0*x + 3*x = -5*p + 2886, -4*p + 2310 = 3*x. Factor -24*l + 572*l**3 - 1144*l**3 + 23*l**2 + p*l**3 - 3*l**2.
4*l*(l - 1)*(l + 6)
Factor -1740/17*t**2 + 2/17*t**4 - 576/17*t**3 - 582/17 - 1744/17*t.
2*(t - 291)*(t + 1)**3/17
Factor 6*h**3 + 0*h**3 + 63*h**2 + h**3 - 12*h - 19*h**3 - 3*h**4 - 63 - 21.
-3*(h - 2)**2*(h + 1)*(h + 7)
Determine r so that 3370318 - 3327835*r - 713/4*r**3 - 1/4*r**4 - 84609/2*r**2 = 0.
-238, 1
Factor -6857 + 83*z - 209*z**2 + 87*z - 9*z**3 + 6905.
-(z - 1)*(z + 24)*(9*z + 2)
Let r be (-63)/162*(1 + 33/(-21)). Factor -8/9*y - r*y**2 + 0.
-2*y*(y + 4)/9
Let z(n) be the third derivative of n**6/540 + n**5/135 + n**4/108 + 1391*n**2. Factor z(l).
2*l*(l + 1)**2/9
Let v = 1512632/245 + -6174. Let p = 194/245 + v. Solve -4/5 + p*m**2 + 0*m = 0 for m.
-1, 1
Let c(m) be the second derivative of 0*m**2 + 0 - 1/2*m**4 + 13/12*m**3 - 1/40*m**5 - 227*m. Factor c(w).
-w*(w - 1)*(w + 13)/2
Let h(c) = -c**5 + c**3 + c**2 + 2*c - 1. Let n(q) = 6*q**5 - 1386*q**4 + 42417*q**3 - 420909*q**2 - 268101*q - 9. Let g(s) = -9*h(s) + n(s). Solve g(u) = 0.
-3/5, 0, 31
Suppose -13*b + 5 = y - 10*b, 3*y + 5*b = 11. Let 36 - 4*d**2 - 128*d + 2*d**y + 142*d = 0. What is d?
-2, 9
Let v(j) = -28*j + 82. Let f be v(3). Let n be 0/((-6)/12*f). Solve 3/4*t**3 + 5/4*t**2 + n + 1/2*t = 0.
-1, -2/3, 0
Let k(j) = -j**3 - 628*j**2 - 619*j - 8. Let s(i) = 6*i**3 + 4395*i**2 + 4335*i + 54. Let v(w) = 27*k(w) + 4*s(w). Factor v(d).
-3*d*(d - 209)*(d + 1)
Let i(r) be the second derivative of r**4/60 - 31*r**3/3 + 309*r**2/10 + 3296*r. Factor i(v).
(v - 309)*(v - 1)/5
Let c be (11 + (-126)/12 - 1)/(2 + 81/(-18)). Suppose 0 - c*u**2 + 13/5*u = 0. Calculate u.
0, 13
Let v = -3083 - -3083. Let k(u) be the second derivative of -3*u + 1/5*u**5 + 0*u**4 - 2/3*u**3 + v + 0*u**2. Factor k(i).
4*i*(i - 1)*(i + 1)
Let m = -305 + 308. Factor -p + 6 + 2*p**m - p + 0*p**3 + 0*p**3 + 20*p**2 - 26.
2*(p - 1)*(p + 1)*(p + 10)
Factor 664 - 168*p - 30*p**3 + 143 - 5*p**4 - 812*p - 73 + 375*p**2 + 46.
-5*(p - 3)*(p - 2)**2*(p + 13)
Let j be (2 - -68)*(-210)/(-4725). Suppose 5*v + 0 = 10. Factor 20/9 + j*s**v - 44/9*s - 4/9*s**3.
-4*(