*4 - 201/5*x**3 + 579/5*x**2 - 519/5*x = 0?
-25, 2/3, 1
Suppose 0 = 2*b, -32 + 14 = -2*v - b. Let o be -2*(-1)/(-4)*-6. Factor 3*k + 465 + 9*k**o - v*k**2 - 3*k**4 - 465.
-3*k*(k - 1)**3
Let n = -1155 + 1157. Let m(a) be the second derivative of -13*a + a**n + 0 - 1/12*a**4 + 1/6*a**3. Suppose m(b) = 0. Calculate b.
-1, 2
Let x(t) be the first derivative of t**4/54 - 4*t**3/27 - 23*t - 29. Let a(b) be the first derivative of x(b). Let a(u) = 0. What is u?
0, 4
Factor -26/5*p**2 - 528/5*p - 360 + 2/5*p**3.
2*(p - 25)*(p + 6)**2/5
Suppose 1666*a - 978*a = 1376. Find l, given that 2/15*l**2 + 0 + a*l = 0.
-15, 0
Let s(p) be the first derivative of -p**4/34 - 32*p**3/17 - 660*p**2/17 - 3872*p/17 - 311. Solve s(l) = 0.
-22, -4
Factor 0*k**2 - 695/4*k**4 + 0*k + 5/4*k**5 + 0*k**3 + 0.
5*k**4*(k - 139)/4
Let a(w) = 356*w**4 + 1048*w**3 + 1072*w**2 + 400*w + 28. Let o(i) = 237*i**4 + 699*i**3 + 715*i**2 + 266*i + 18. Let d(b) = 5*a(b) - 8*o(b). Factor d(s).
-4*(s + 1)**3*(29*s + 1)
Let j(n) be the second derivative of -n**7/1470 - n**6/90 - 8*n**5/105 - 2*n**4/7 + 227*n**3/6 - 152*n. Let m(d) be the second derivative of j(d). Factor m(c).
-4*(c + 2)**2*(c + 3)/7
Let i(r) = r**2 + 608*r + 10623. Let u be i(-18). Solve 4*d**u - 1/2*d**4 + 0*d - 8*d**2 + 0 = 0 for d.
0, 4
Let v(t) = -5*t + 8*t**2 + 2*t**2 + 5 - 11. Let w(c) = -c**2 + 1 + 0 + c + 0*c**2. Let l(x) = 2*v(x) + 18*w(x). Factor l(r).
2*(r + 1)*(r + 3)
Let b(h) = h**3 - 107*h**2 + 2522*h - 142. Let z be b(72). Let i = 4 + -4. Factor 1/4*k**z - 1/4*k + i.
k*(k - 1)/4
Let -1984*p**2 - 2*p**5 - 2592*p - 382*p**3 - 96*p**4 + 200 - 306*p**3 - 1480 = 0. What is p?
-40, -2
Let q be 172/42 + (-92)/966. Suppose 0 = -q*a + o - 11 + 35, -5*a = -3*o - 37. Factor 2/3*f**3 + 0*f**4 + 0 - 1/3*f**a - 1/3*f + 0*f**2.
-f*(f - 1)**2*(f + 1)**2/3
Find a, given that 304*a + 25144 + 0*a**2 + a**2 - 2040 = 0.
-152
Let i(a) = -12*a**3 + 2*a**2 + 2*a + 1. Let q be i(-1). Suppose 7 = -o + q. Suppose o + 6*d - d**2 - 16 - 2*d**2 + 7 = 0. What is d?
1
Let z = -4511/16 - -22699/80. Suppose 27 = 4*b - 3*h, -b - b + 4*h = -26. Let 3/5*u**4 + 12/5*u - 12/5*u**b - z + 6/5*u**2 = 0. What is u?
-1, 1, 3
Find f such that 37*f**2 - 14*f**2 - 19*f**2 - 8*f**2 - 1280*f - 102400 = 0.
-160
Find q, given that 2/7*q**2 + 48/7*q - 162/7 = 0.
-27, 3
Determine d so that 3*d**4 - 810*d**2 - 6156*d - 13399 - 3541*d**3 + 3532*d**3 - 209 = 0.
-6, 21
Let w = 28999/163296 + -1/163296. Let u = w + -5/144. Determine q so that 3/7 + 4/7*q + u*q**2 = 0.
-3, -1
Suppose -2*m - 54 + 286 = 0. Let i = -8 + m. Factor 99*c + 93*c - i*c + 4 + 441*c**2.
(21*c + 2)**2
Suppose -21*t = -8328 - 18426. Suppose t - 1269 = f. Determine o so that -18/13*o**f + 150/13*o**2 - 94/13*o**4 + 0 + 36/13*o - 74/13*o**3 = 0.
-3, -2/9, 0, 1
Let p = 318/1097 - -16248/12067. Solve -6*u**3 + 48/11*u - 36/11*u**2 + p*u**4 + 0 = 0.
-1, 0, 2/3, 4
Let t(p) = -78*p + 469. Let x be t(6). Let d be x/((-7)/2) - (-1054)/357. Factor 2/3*j**2 + d*j + 2.
2*(j + 1)*(j + 3)/3
Factor -179*c + 77*c**3 + 0 + 0 + 33*c**2 - 74*c**3 - 61*c.
3*c*(c - 5)*(c + 16)
Determine q, given that 49624 - 713*q - 522*q - 1286*q + 4*q**2 + 246312 + 345*q = 0.
272
Let b(k) be the first derivative of -2*k**5/35 + 76*k**4/7 + 206*k**3/7 - 152*k**2/7 - 88*k + 5202. Let b(p) = 0. What is p?
-2, -1, 1, 154
Solve -20*y**5 - 248*y**4 + 1340*y - 434*y**3 - 736*y**2 + 132 + 468 - 150*y**3 - 352*y**3 = 0 for y.
-5, -3, -2/5, 1
Let c = 544 - 542. Factor -12*d**2 + 7*d**2 + d**c - 10*d**3.
-2*d**2*(5*d + 2)
Let m(h) = -25*h**2 + 285*h - 420. Let t(b) = -2*b**2 + 50*b - 1. Let w(y) = m(y) - 10*t(y). Suppose w(i) = 0. What is i?
-41, -2
Suppose -2210*o = 3702*o - 17736. Find d such that 0 - 8/7*d + 8/7*d**o - 2/7*d**2 + 2/7*d**4 = 0.
-4, -1, 0, 1
Suppose 30 = 4*j + c, -j + 2*c = -5*j + 28. Let p(v) = -2*v**3 + 17*v**2 - 6*v - 14. Let y be p(j). Let 256/7 - 64/7*d + 4/7*d**y = 0. What is d?
8
Let u = -2958175/3 - -986073. Let -u*i**3 + 2/3*i**4 + 38/3 + 40*i**2 - 116/3*i = 0. What is i?
1, 19
Factor -2/5*u**2 + 24/5*u + 0.
-2*u*(u - 12)/5
Let v(a) be the third derivative of a**5/330 + 695*a**4/66 + 463*a**3/11 + 11097*a**2. Factor v(s).
2*(s + 1)*(s + 1389)/11
Let l(r) be the third derivative of -r**7/70 - 23*r**6/20 - 163*r**5/20 + 105*r**4/4 - 7206*r**2. What is i in l(i) = 0?
-42, -5, 0, 1
Let y be (20/(-3) - 4)*-6. Let z be (-1620)/(-35) + (-1 - 10/(-14)). Factor 2*t**3 + 14 + y*t - 32 - 20*t**2 - z.
2*(t - 4)**2*(t - 2)
Determine f, given that 10125*f**4 - 9431*f**3 + 500 + 20197*f**3 + 4300*f + 8584*f**3 + 13745*f**2 = 0.
-5/9, -2/5
What is c in 9/4 + 15/4*c - 9/4*c**5 + 33/4*c**4 - 21/2*c**2 - 3/2*c**3 = 0?
-1, -1/3, 1, 3
Let r = -29 - -13. Let m = -14 - r. Suppose 8*i - 18*i + 6*i - 4*i**3 + i**2 - 9*i**m = 0. What is i?
-1, 0
Let v(p) be the third derivative of -p**5/80 - 97*p**4/32 + 49*p**3/4 + 438*p**2. Let v(c) = 0. Calculate c.
-98, 1
Let a(r) be the first derivative of 18/17*r - 92 + 8/17*r**2 - 2/51*r**3. Suppose a(q) = 0. What is q?
-1, 9
Solve 6 - 18*x - 16*x**4 + 130/9*x**3 + 10*x**2 + 32/9*x**5 = 0 for x.
-1, 3/4, 1, 3
Let n(r) be the third derivative of -48*r**2 + 0*r + 2/735*r**7 - 1/840*r**6 - 1/105*r**5 + 0 + 0*r**3 + 1/168*r**4. Determine a so that n(a) = 0.
-1, 0, 1/4, 1
Factor 312170 + 98091 + y**2 - 44236 - 1210*y.
(y - 605)**2
Let j(n) be the second derivative of -n**6/75 + 43*n**5/100 - 57*n**4/20 - 108*n**3/5 - 216*n**2/5 - 1591*n. Suppose j(f) = 0. Calculate f.
-3/2, -1, 12
Let z(u) be the second derivative of -u**9/15120 + u**8/3360 + u**7/504 - u**6/120 + 3*u**4/2 - 50*u. Let v(l) be the third derivative of z(l). Factor v(s).
-s*(s - 3)*(s - 1)*(s + 2)
Let s be (-36)/(-14) - ((-88)/(-56) + -2). Let w be (-3)/((-1)/(3/3)). Factor -24*q**s + 6 + 15*q**3 + 7*q + 8*q**w.
-(q - 3)*(q + 1)*(q + 2)
Let c(x) be the third derivative of 3*x**8/16 + 3457*x**7/70 - 14423*x**6/120 + 3161*x**5/60 + 145*x**4/3 - 166*x**3/3 + 8*x**2 - 2*x + 83. Solve c(b) = 0.
-166, -2/7, 1/3, 1
Let f(s) = -10*s**3 - 119*s**2 - 587*s - 739. Let a(c) = 28*c**3 + 356*c**2 + 1760*c + 2216. Let k(x) = -3*a(x) - 8*f(x). Determine i so that k(i) = 0.
-23, -4, -2
Determine r so that -510 + 0*r**4 - 621*r**2 + 1277*r - 475*r**2 - r**4 + 71*r**2 + 259*r**3 = 0.
1, 2, 255
Let y(z) be the third derivative of 5*z**7/126 + z**6/180 + 28*z**2 + 5. Factor y(c).
c**3*(25*c + 2)/3
Let h(m) be the first derivative of -4*m**3/27 + 4*m**2/9 + 160*m/3 - 3700. Factor h(v).
-4*(v - 12)*(v + 10)/9
Factor 1/6*d**2 - 13/3*d + 44/3.
(d - 22)*(d - 4)/6
Suppose -26/5 - 60*t**2 + 16/5*t**4 + 184/5*t**3 + 154/5*t = 0. What is t?
-13, 1/2
Let k = -958223/5 + 191645. Factor k*o - 12/5 + 8/15*o**2 - 2/15*o**3.
-2*(o - 3)**2*(o + 2)/15
Let g = 408 + 2933. Let h = g + -1280. Solve h - 93*n - 1997 + 17*n**2 + 13*n - n**3 = 0.
1, 8
Let x(j) = -2*j**3 + 5*j**2 + 4*j - 1. Let k be x(-1). Solve 2*h**3 - 7*h**3 + 15*h**k + 711*h**5 - 15*h**4 - 706*h**5 = 0 for h.
-1, 0, 1, 3
Let h(t) be the first derivative of 4*t**5/35 - 246*t**4/7 + 20172*t**3/7 - 1028. Determine w so that h(w) = 0.
0, 123
Let o(p) = -p**3 - 239*p**2 + 247*p + 1680. Let v be o(-240). Factor 0*w**2 + 0 + v*w + 1/5*w**4 + 2/5*w**3.
w**3*(w + 2)/5
Let x(s) be the first derivative of 0*s + 1/4*s**6 + 3/2*s**5 + 19 + 0*s**2 + 21/8*s**4 + 3/2*s**3. Factor x(f).
3*f**2*(f + 1)**2*(f + 3)/2
Suppose n - 153 = 3*u - 156, -n = u - 17. Let s(b) be the second derivative of 9/20*b**5 - 7/2*b**3 - 1/2*b**4 + n*b + 0 - 3*b**2. Factor s(f).
3*(f - 2)*(f + 1)*(3*f + 1)
Let c(p) be the third derivative of p**5/60 - 412*p**4/3 + 1357952*p**3/3 - 16*p**2 + 66*p - 1. Factor c(t).
(t - 1648)**2
Let r be (8 + (-4896)/594)*-45. Factor -16000/11 - 2/11*g**3 - 2400/11*g - r*g**2.
-2*(g + 20)**3/11
Let u(i) be the third derivative of -i**6/720 - 3*i**5/10 - 65*i**4/3 - 2704*i**3/9 + 1229*i**2 + 3. Let u(g) = 0. What is g?
-52, -4
Let u(v) be the third derivative of -1/84*v**8 - 1/3*v**5 + 0 + 0*v + 127*v**2 + 1/3*v**4 + 0*v**3 + 1/10*v**6 + 2/105*v**7. Factor u(p).
-4*p*(p - 1)**3*(p + 2)
Let l = -49 + 51. Let b be (-2)/4*10 - (-14)/l. Solve -4/3*z**b - 28/3*z**3 - 8/3 + 28/3*z + 4*z**4 = 0 for z.
-1, 1/3, 1, 2
Let f = -890 - -926. Let a be (-8)/(-182)*(8 + f/(-8)). Factor 64/13*w - 64/13 + a*w**3 - 20/13*w**2.
2*(w - 4)*