*b - 2)**2
Suppose 149*t - 45 = 144*t. Let y be 12*(-5 - (-48)/t). Let -5*w**2 + 0*w**2 + 2*w**3 - y*w**3 + w**2 = 0. Calculate w.
-2, 0
Let w(i) be the third derivative of i**8/112 + 13*i**7/70 + 11*i**6/20 - i**5/10 - 23*i**4/8 - 11*i**3/2 + 2*i**2 + 562. Suppose w(r) = 0. What is r?
-11, -1, 1
Let q be 0/(-10) + (-6)/2. Let u be (3 - -3) + q - 1. Find p, given that 9*p + 3*p**u - 31 - 9*p**3 + 25 + 3*p**2 = 0.
-1, 2/3, 1
Let b = -438/41 + 2231/205. Let z(i) be the first derivative of 4/5*i + b*i**2 - 2/15*i**3 - 3. Factor z(m).
-2*(m - 2)*(m + 1)/5
Let f(s) = 16*s**2 + 2604*s + 2599. Let n(h) = -9*h**2 - 1302*h - 1299. Let w(d) = -6*f(d) - 11*n(d). Suppose w(j) = 0. What is j?
-1, 435
Let b be 1443/3465 + 1 + (-50)/35. Let n = b - -169/330. Factor -1/2*j + 1/8*j**2 + n.
(j - 2)**2/8
Solve -736*l - 74 + 2*l**3 - l**3 + 627*l - 34*l**2 = 0 for l.
-2, -1, 37
Solve 105 + 297/4*a**2 + 3/4*a**4 + 51/4*a**3 + 669/4*a = 0.
-7, -5, -4, -1
Suppose 5*r = b + 45, -4*r - 5*b - 17 = -82. Factor 2*y**2 + 24*y + r*y - 32*y.
2*y*(y + 1)
Let h(y) = 15*y**3 + 176*y**2 - 119*y - 72. Let b(t) = 15*t**3 + 175*t**2 - 120*t - 70. Suppose -i + 7 - 12 = 0. Let d(g) = i*h(g) + 6*b(g). Factor d(z).
5*(z - 1)*(z + 12)*(3*z + 1)
Let n = 5636377/11 - 512393. Factor -n - 2/11*w**3 + 6/11*w**2 + 18/11*w.
-2*(w - 3)**2*(w + 3)/11
Let v be 5 - (-8)/48*(-2808)/260. Factor -v - 16/5*g**4 - 2/5*g**5 - 76/5*g**2 - 10*g**3 - 56/5*g.
-2*(g + 1)**2*(g + 2)**3/5
Let s(g) be the third derivative of g**8/168 + g**7/35 - g**6/5 - 26*g**5/15 - 4*g**4 + 401*g**2 + 1. Let s(h) = 0. What is h?
-3, -2, 0, 4
Let d(b) be the first derivative of -b**6/60 - b**5/20 + 11*b**4/24 + b**3 - 9*b**2 - 57*b + 57. Let q(v) be the first derivative of d(v). Factor q(w).
-(w - 2)**2*(w + 3)**2/2
Let w(y) be the first derivative of -4*y**4 - 62 - 256*y - 4/5*y**5 + 16*y**3 + 64*y**2. Factor w(b).
-4*(b - 2)**2*(b + 4)**2
Let u(p) be the first derivative of 2*p**3/3 - 112*p**2 - 2410. Find a, given that u(a) = 0.
0, 112
Let v(z) be the first derivative of -z**4/16 + 13*z**3 - 720*z**2 - 6400*z - 2592. Factor v(g).
-(g - 80)**2*(g + 4)/4
Let m(b) be the first derivative of -b**7/14 - b**6/10 + 3*b**5/4 + b**4/4 - 4*b**3 + 6*b**2 + 84*b - 43. Let x(p) be the first derivative of m(p). Factor x(j).
-3*(j - 1)**3*(j + 2)**2
Let m(x) be the first derivative of x**3/3 + 3*x**2/2 - 67*x + 2. Let v be m(-10). Factor -5/2*h + 2*h**2 - 1/2*h**v + 1.
-(h - 2)*(h - 1)**2/2
Let g(d) = d**3 - 9*d**2 - 43*d + 85. Let o be g(12). Suppose 2*x - o = -j + 9, -5*x = 3*j - 26. Let 16/11*s + 14/11*s**j + 2/11*s**3 - 32/11 = 0. Calculate s.
-4, 1
Let a(v) be the second derivative of v**4/84 + 86*v**3/7 - 4*v + 62. Factor a(d).
d*(d + 516)/7
Suppose 0 = -3*l + 2*k + 21, 576*l - 573*l - k = 21. Let l*t - 49/6*t**2 - 4/3 - 5/2*t**3 = 0. Calculate t.
-4, 1/3, 2/5
Let k(r) be the second derivative of 12*r - 1/60*r**4 + 3 + 1/50*r**5 + 1/10*r**2 - 1/15*r**3. Factor k(c).
(c - 1)*(c + 1)*(2*c - 1)/5
Let r(v) be the second derivative of 58*v**6/105 - 24*v**5/7 + 44*v**4/7 - 32*v**3/21 - 1991*v. Solve r(g) = 0 for g.
0, 4/29, 2
Let c be (-20 + 15 - -13) + (132/(-15) - -1). Find z, given that 28/5 + 29/5*z + c*z**2 = 0.
-28, -1
Suppose 34/9*r**2 - 1/9*r**3 + 0 - 80/3*r = 0. What is r?
0, 10, 24
Find r such that 2492/11*r - 2490/11 - 2/11*r**2 = 0.
1, 1245
Let j(m) be the third derivative of -361*m**7/1050 - 19*m**6/20 + 24*m**5/25 - 4*m**4/15 - 1013*m**2. Factor j(f).
-f*(f + 2)*(19*f - 4)**2/5
Let x be (-82)/(-12) + -1*13/(-78). Let g be 930/(-2387) - (8/x)/(-2). Suppose -8/11*f**3 - g*f**5 + 0*f + 0*f**2 - 8/11*f**4 + 0 = 0. Calculate f.
-2, 0
Factor 50*i**2 - 672 - 1854*i**2 - 3*i**4 + 362*i**3 + 202*i**3 + 2019*i + 117*i**3 - 221*i**2.
-3*(i - 224)*(i - 1)**3
Let q(d) be the first derivative of 138240000*d**4 + 1152000*d**3 + 3600*d**2 + 5*d - 339. Solve q(r) = 0.
-1/480
Let x(m) = -7*m**4 - 25*m**3 - 46*m**2 + 12*m + 6. Let b(g) = 15*g**4 + 52*g**3 + 93*g**2 - 26*g - 13. Let w(y) = 6*b(y) + 13*x(y). Factor w(k).
-k**2*(k + 5)*(k + 8)
Let l(h) = -h**2 - 10*h - 21. Let x be l(-6). Suppose 18 = 4*b + x*n, -4*b + 11 = n - 11. Factor 8*i - 2*i**4 + 4 + 2*i - 2*i**2 - b*i**3 - 4*i.
-2*(i - 1)*(i + 1)**2*(i + 2)
Suppose -3*y - 2*y = -3*m - 6, 2*y = 2*m. Factor -16*x**y + 205*x**4 + 4*x**3 - 203*x**4.
2*x**3*(x - 6)
Solve -1175*j**2 + 5*j**3 - 59004 + 102468*j - 32853*j - 9441 = 0.
1, 117
Let r(x) = 2*x**2 - 85*x - 1579. Let w be r(-14). Determine b, given that -4/7*b**w + 16/7*b - 6/7*b**2 + 2/7*b**4 - 8/7 = 0.
-2, 1, 2
Determine i so that -75558 - 75281 + 2*i**2 + 153107 + 0*i**2 + 762*i = 0.
-378, -3
Determine x so that -8/21*x**5 - 90/7*x**2 - 36/7*x - 10/3*x**4 + 0 - 72/7*x**3 = 0.
-3, -2, -3/4, 0
Suppose -94*x + 1260 = -49*x. Let t(v) be the third derivative of 0*v + 0 + 0*v**3 + x*v**2 + 1/12*v**4 - 1/30*v**5. Factor t(w).
-2*w*(w - 1)
Let z(i) be the third derivative of i**8/1344 + 11*i**7/840 + i**6/30 + i**5/60 - 93*i**2. Let h(g) be the third derivative of z(g). Factor h(w).
3*(w + 4)*(5*w + 2)
Suppose 1 = -2*n + 5. Suppose -3*u = 9, -5*h = 6*u - 2*u + n. Factor -4*r**3 - 3 + 6*r**h + 2*r**3 - r - 1 + 3*r - 2*r**4.
-2*(r - 1)**2*(r + 1)*(r + 2)
Factor -203*y + 418 - 9*y**4 + 354 - 690 - 340*y**2 - 321*y**2 - 385*y**3.
-(y + 1)**2*(y + 41)*(9*y - 2)
Let t(k) be the second derivative of 8*k - 1/12*k**5 + 15/2*k**2 + 0*k**3 - 5/12*k**4 + 0. Let m(v) be the first derivative of t(v). Let m(x) = 0. What is x?
-2, 0
Let b(o) = -29*o**3 - 4979*o**2 - 9939*o - 4957. Let f(c) = 6*c**3 + c**2 + c - 2. Let g(a) = -b(a) - 4*f(a). Determine d, given that g(d) = 0.
-993, -1
Let z(h) be the third derivative of h**7/1680 + h**6/40 + 4*h**4 + 71*h**2. Let j(t) be the second derivative of z(t). Let j(a) = 0. What is a?
-12, 0
Let s = -615 - -599. Let h be (-660)/(-792)*s/(-10). Factor 1/3*z**5 + h*z**2 + z**3 - 4/3*z + 0 - 4/3*z**4.
z*(z - 2)**2*(z - 1)*(z + 1)/3
Let p(t) be the second derivative of 1/20*t**5 - 79*t - 1/9*t**3 + 0 - 1/12*t**4 + 0*t**2 + 1/42*t**7 + 7/90*t**6. What is a in p(a) = 0?
-1, 0, 2/3
Suppose 0 = -5*d + q + 11, 5*d = 5*q - 3 + 18. Suppose 3*x - 14 - 50 = 2*z, -d*x + 28 = -5*z. Factor -3/2*c**3 + 18*c + 0*c**2 + x.
-3*(c - 4)*(c + 2)**2/2
Let i = 3 + -1. Suppose -5*c + 3*r + 58 = 54, 0 = -2*r + 14. Determine a so that 13*a**2 + 13*a - 9*a**c + 2 + 0*a**3 + 5*a**2 - 20*a**4 - i*a**3 - 2*a**3 = 0.
-1, -2/9, 1
Let u(g) be the second derivative of 2*g**6/15 + 46*g**5/5 + 40*g**4/3 - 148*g**3 + 270*g**2 - g + 5684. Factor u(n).
4*(n - 1)**2*(n + 3)*(n + 45)
Find i such that -119 + 192*i**4 + 2*i**5 + 24*i - 25 + 210*i**4 - 410*i**4 + 68*i**2 - 14*i**3 = 0.
-2, 2, 3
Let i be ((-18)/(-30))/(15/25). Let v be (4 + (-110)/20)/(-3). Let -i + 1/2*h + v*h**2 = 0. What is h?
-2, 1
Let c = 354 + -213. Suppose -4*a = -n + 11, c + 34 = 5*n + 4*a. Factor 15*s**2 - n - 50*s - 1 - 8.
5*(s - 4)*(3*s + 2)
Suppose -101 = -24*j - 48 - 5. Let -j*b**2 + 1/4 + 1/2*b + 7/4*b**4 + 1/2*b**3 - b**5 = 0. Calculate b.
-1, -1/4, 1
Let y(b) be the third derivative of -30 + 0*b**3 + 2/105*b**7 + 0*b + 17/240*b**5 + 1/48*b**4 + 2*b**2 + 1/12*b**6. Factor y(f).
f*(f + 2)*(4*f + 1)**2/4
Let w be ((-12)/(-9))/(6/18). Factor 33*c**2 + 6*c - 16 - w*c - 8 - 8*c + 15*c**3.
3*(c + 1)*(c + 2)*(5*c - 4)
Let g(a) = a**2 - 4*a + 6. Let k be 6/5*250/100. Let w be g(k). Factor 1/5*d**4 - 1/5*d**w + 1/5*d + 2/5 - 3/5*d**2.
(d - 2)*(d - 1)*(d + 1)**2/5
Let s(h) be the first derivative of -68/3*h**3 - 13*h**4 - 77 - 1/3*h**6 - 18/5*h**5 - 10*h - 21*h**2. Factor s(l).
-2*(l + 1)**4*(l + 5)
Let k = 8 - -5. Suppose 0 = -10*h + k*h - 132. Determine a, given that 4*a**3 - 12*a**2 - 41*a + 5*a**3 + h*a = 0.
0, 1/3, 1
Let n(v) be the second derivative of v**5/50 + 1126*v**4/15 + 4501*v**3/15 + 450*v**2 + 55*v - 59. Solve n(h) = 0 for h.
-2250, -1
Let r(l) = -5*l**2 - 27*l - 42. Let p(i) = -60*i**2 - 325*i - 505. Suppose 5*j = -10*j + 525. Let g(k) = j*r(k) - 3*p(k). Find b such that g(b) = 0.
-3
Suppose -4/3*u**2 + 64/3 - 112/3*u + 7/3*u**3 = 0. Calculate u.
-4, 4/7, 4
Let k(f) = -10*f**3 - 7*f**2 + 8*f - 3. Let n(g) = 17*g**3 + 15*g**2 - 17*g + 5. Let u(i) = 10*k(i) + 6*n(i). Solve u(w) = 0 for w.
-11, 0, 1
Let m be 4*(33/4 - -4). Suppose -4*a - 83 = -4*l + m, -3*a - 133 = -4*l. Fa