 0?
-160, -1, 2
Let j(s) = -3*s**2 - 1. Let b(w) = 5445 - 5471 - 6*w**2 - w**2 + 10*w. Let a(k) = b(k) - 2*j(k). Factor a(n).
-(n - 6)*(n - 4)
Factor -749/6*w**2 + 70688 + 69560/3*w + 1/6*w**3.
(w - 376)**2*(w + 3)/6
Factor -104*p + 367 + 126*p - 2*p**2 - 247.
-2*(p - 15)*(p + 4)
Let j(t) = t**3 + 10*t**2 + 17*t + 4. Let r be j(-8). Let c be 118/413*r/(-1). Determine z, given that -c*z + 6/7*z**2 + 2/7 = 0.
1/3, 1
Suppose 3*s = 5*z - 17 - 52, 4*z + 2*s - 42 = 0. Let a(f) = -f**3 + 15*f**2 - 38*f + 28. Let i be a(z). Factor 0 + 5*h**2 + 35/3*h**i + 20*h**3 - 10/3*h.
5*h*(h + 1)**2*(7*h - 2)/3
Let m(f) be the third derivative of -1/672*f**8 + 0*f**3 - 1/80*f**6 - 1/30*f**5 - 31*f**2 + 1/12*f**4 + 0*f + 1/105*f**7 + 0. Solve m(y) = 0 for y.
-1, 0, 1, 2
Let s = 2920 - 2916. Let y(h) be the first derivative of 5/3*h**2 + 1/6*h**s - 8/9*h**3 - 19 - 4/3*h. Factor y(f).
2*(f - 2)*(f - 1)**2/3
Let z(d) be the third derivative of 121/30*d**3 + 11/60*d**4 + 1/300*d**5 + 0*d + 2*d**2 + 24. What is n in z(n) = 0?
-11
Suppose 4*q**2 - 308975 + 1256*q - 107653 - 38430 + 652*q - 6*q**2 = 0. Calculate q.
477
Let h = -76144 + 76144. Find x such that 1/2*x - 1/2*x**2 + h = 0.
0, 1
Let u(a) be the second derivative of -81*a**7/14 - 18*a**6 + 33*a**5/5 + 89*a**4/2 + 37*a**3/2 + 3*a**2 - 793*a. Solve u(c) = 0.
-2, -1, -1/9, 1
Suppose 6*q + 15 = q, 0 = -5*c + 3*q - 11. Let v be (-18)/15 + ((-12)/15 - c). Factor 42/11*s**v + 4/11 + 46/11*s.
2*(s + 1)*(21*s + 2)/11
Let a(c) be the second derivative of 5*c**4/12 - 1135*c**3/6 - 4095*c**2 + 370*c. Find d such that a(d) = 0.
-7, 234
Suppose 0 = -410*p - 9 - 1 + 10. Find g such that 0*g + p*g**2 + 1/2*g**3 + 0 = 0.
0
Let i(x) be the first derivative of -9/4*x**2 + 0*x - 7/2*x**3 - 15/8*x**4 - 3/10*x**5 - 37. Solve i(q) = 0.
-3, -1, 0
Factor -4/3*g**2 - 4*g - 4/9*g**4 + 20/9*g**3 + 0.
-4*g*(g - 3)**2*(g + 1)/9
Let m = 788 + -210. Determine a so that -46*a + 2*a**2 + 40*a - 64*a + m + 2*a = 0.
17
Let y(v) be the first derivative of -2/21*v**3 + 48/7*v + 42 + 10/7*v**2. Determine p so that y(p) = 0.
-2, 12
Let i = -1067 + 5339/5. What is s in 16/5*s**2 - 31/5*s**3 + 0 + i*s + 11/5*s**4 = 0?
-2/11, 0, 1, 2
Suppose 0 = -2*p - 6, -4*u - u = 5*p + 25. Let r be u*(-2)/4*-2 - -5. Factor -r*l - 21*l**5 + 18*l**5 + 3*l - 3*l**4.
-3*l**4*(l + 1)
Let u(d) be the third derivative of d**6/120 + 107*d**5/60 + 2915*d**4/24 + 2809*d**3/6 - 169*d**2. Factor u(m).
(m + 1)*(m + 53)**2
Find l such that 30976/7 - 2/7*l**3 - 348/7*l**2 - 2112*l = 0.
-88, 2
Let f(p) = -8*p**2 + 443*p + 2753. Let c be f(61). What is t in -37/4*t**3 + 0 - 5/4*t**5 + 25/2*t**2 - c*t**4 + 6*t = 0?
-4, -3, -2/5, 0, 1
Suppose -3*m = -4*t + 6*t - 12, -5*m + 20 = 4*t. Let s(a) be the first derivative of 1/3*a**3 + 2*a**2 - 7 - a**m - a. Solve s(v) = 0 for v.
-1, 1/4, 1
Let p(g) = g**3 - 20*g**2 + 30*g + 110. Let y be p(18). Let l(k) be the first derivative of k - 12 - 1/12*k**3 + 3/8*k**y. Let l(v) = 0. What is v?
-1, 4
Suppose -2*d = 93 - 515. Factor -87*g + d*g - 84*g - 92*g + 12 + 16*g**2.
4*(g - 3)*(4*g - 1)
Suppose 251*d - 27030 = 234*d. Suppose -d*a + 1606*a = 32. Factor n - 1/4*n**a + 5/4.
-(n - 5)*(n + 1)/4
Factor 693*n**2 - 2*n**4 - 205*n**3 - 2*n**2 + 128*n**2 - 944*n + 6*n**4 + 188.
(n - 47)*(n - 2)**2*(4*n - 1)
Let r(j) = 4*j**3 - 5*j**2 + 2*j - 1. Let f(z) = 2*z**3 - 4*z**2 + 2*z. Suppose 3*w + q = -13, -2*w - q + 0*q = 10. Let y(a) = w*f(a) + 2*r(a). Factor y(k).
2*(k - 1)*(k + 1)**2
Let l(w) = 2355*w + 11792. Let o be l(-5). Let a(f) be the third derivative of 5/24*f**4 + 25/6*f**3 + 0 + 1/240*f**5 + 0*f - o*f**2. Factor a(c).
(c + 10)**2/4
Let s = 936182/14043 - -6/4681. Let d(v) be the first derivative of -s*v - 2/9*v**3 - 45 + 20/3*v**2. What is q in d(q) = 0?
10
Let x = 773 - 246. Find q, given that -6*q**2 + 2*q**2 + x + 6*q**2 + 355 - 84*q = 0.
21
Let x(g) = g**3 + 20*g**2 - 45*g - 19. Let c(q) = 2*q**3 - 60*q**2 - 2*q + 38. Let a be c(30). Let n be x(a). Find y such that 0 + 2*y**n + 0*y + 1/2*y**2 = 0.
-1/4, 0
Determine h so that -32/7*h**2 + 4/7*h**4 + 16/7*h**3 - 2/7*h**5 + 64/7 - 32/7*h = 0.
-2, 2
Let b be 1/((-9)/(-63)*14/(-36)). Let c be ((-21)/28)/(81/b). Factor 5/6*a - c*a**2 - 2/3.
-(a - 4)*(a - 1)/6
Let l = -1587275 + 1587277. Let w be (-6)/2*2/(-4). Determine x so that 3*x - 9/2*x**l + 0 + w*x**3 = 0.
0, 1, 2
Suppose 12545*c = 12939*c - 788. Factor 58/3*w**c - 841/3*w - 1/3*w**3 + 0.
-w*(w - 29)**2/3
Let k(f) = -4*f**3 + 34*f**2 + 40*f - 78. Let z(i) = 25*i**3 - 204*i**2 - 240*i + 471. Let b(x) = -13*k(x) - 2*z(x). What is w in b(w) = 0?
-2, 1, 18
What is c in 15/2*c**4 - 21/2*c**3 - 30*c - 72*c**2 + 24 = 0?
-2, -1, 2/5, 4
Suppose -2*q**4 + 7/5*q**3 - 1/5*q**5 + 196/5*q**2 + 0*q + 0 = 0. Calculate q.
-7, 0, 4
Let a(b) be the third derivative of -1/70*b**6 + 0*b**5 + 0*b**3 + 1/1176*b**8 - 13*b - 1/147*b**7 + 2*b**2 + 0*b**4 + 0. Factor a(v).
2*v**3*(v - 6)*(v + 1)/7
Let z = 627903/5 + -125579. What is o in -2*o**3 + 0 + 2/5*o**4 - z*o + 16/5*o**2 = 0?
0, 1, 2
Suppose -5*n - 455 = 5*j, -7*n + 2*n = 2*j + 194. Let i = j - -108. Factor r**5 - 7*r**4 + 34*r + 9 - i*r + 18*r**3 - 12 - 22*r**2.
(r - 3)*(r - 1)**4
Let 2/5*i**3 - 62/5*i + 12 + 0*i**2 = 0. Calculate i.
-6, 1, 5
Let u(l) be the second derivative of -1/4*l**4 - 2 - 5*l**3 + 65*l - 27/2*l**2. Determine o, given that u(o) = 0.
-9, -1
Suppose -12 = -2*n + 2*a, 3*n - 3*a = -n + 23. Suppose 4*j = -4*t + 16, 3 = -3*j - n*t + 5. Factor 2*y + j + 6 - 16 - y**2.
-(y - 1)**2
Let l(q) be the second derivative of -q**5/30 + q**4/2 + 63*q**2/2 + 2*q - 2. Let u(v) be the first derivative of l(v). Suppose u(c) = 0. Calculate c.
0, 6
Let p = 55 - -80. Solve 120*o**4 - p*o**3 - 180*o - 95*o**4 + 40 + 123*o**2 + 127*o**2 = 0 for o.
2/5, 1, 2
Suppose -2*m + 2*k - 2 = 82, -5*m = 2*k + 189. Let s = m + 41. Let -5*o**3 - 5*o**2 - 4*o**s - 15*o - 11*o**2 = 0. Calculate o.
-3, -1, 0
Let i be 1*(42/18*-3)/(5*(-42)/60). Factor 2 - 4/3*u - 2/3*u**i.
-2*(u - 1)*(u + 3)/3
Suppose -7 + 27 = -5*v + 4*i, -4*v + 4*i = 16. Let r be 0/v + 9/(-3) + 3. Let 0*j + 4*j + r*j**2 + j**2 = 0. Calculate j.
-4, 0
Let d = -23 + 27. Solve 54*z**2 + 46*z**2 + 2*z**3 - 9*z - 5*z**3 - 85*z**2 - 3*z**d = 0.
-3, 0, 1
Let o = 43645 - 43643. Let d(y) be the third derivative of 0*y + 1/276*y**4 + 0 - 1/690*y**5 + 2/23*y**3 - 29*y**o. Factor d(v).
-2*(v - 3)*(v + 2)/23
Suppose -3*k - 5*m + 13 = 0, 2*m + 10 = 9*k - 46. Let d(q) be the first derivative of -1/16*q**4 - k + 0*q + 1/6*q**3 - 1/8*q**2. Factor d(n).
-n*(n - 1)**2/4
Let h(m) be the third derivative of m**6/40 + 131*m**5/10 + 2*m**2 + 25*m. Factor h(y).
3*y**2*(y + 262)
Let j(t) = -t**3 - 5*t**2 + 10*t - 6. Let x be j(-7). Let f = -44 + 47. Factor 3*d**5 - 9*d**f - 19*d + x*d + 9*d - 12*d**2 + 6*d**4.
3*d*(d - 1)**2*(d + 2)**2
Let y(x) = 59*x**5 - 964*x**4 + 11*x**2 - 55. Let j(w) = 32*w**5 - 482*w**4 + 6*w**2 - 30. Let t(f) = -11*j(f) + 6*y(f). Factor t(m).
2*m**4*(m - 241)
Let s(d) be the second derivative of 5*d**4/12 - 415*d**3/6 - 645*d**2 - 123*d. Factor s(v).
5*(v - 86)*(v + 3)
Let c(m) be the second derivative of -14/9*m**3 + 1 - m - 16/9*m**2 + 7/90*m**5 + 17/18*m**4. Find d, given that c(d) = 0.
-8, -2/7, 1
Let u(z) be the first derivative of -z**4/4 + 4*z**3 + 14*z**2 + 2*z - 312. Let t be u(14). Determine l, given that -1/4*l**t + l - 3/4 = 0.
1, 3
Let g(f) be the first derivative of f**4/22 - 4*f**3/3 + 19*f**2/11 + 84*f/11 + 3420. Determine d so that g(d) = 0.
-1, 2, 21
Suppose 0 = -5*h + h - 8. Let s be 7 + -7 + 6 + h + 0. Factor 10 + 60*k**2 + 72*k + 2 + 14*k**3 + s.
2*(k + 2)**2*(7*k + 2)
Let v(u) = -2*u**2 - 92*u - 674. Let h(c) = -1 + 2295*c**2 + 0 - 2296*c**2 + 2*c. Let s(o) = h(o) + v(o). Find j, given that s(j) = 0.
-15
Find r such that -808/5*r**2 + 0 - 6/5*r**4 + 188/5*r**3 - 624/5*r = 0.
-2/3, 0, 6, 26
Let s(o) = o**4 - 1. Suppose -18 = 2*r - 28. Let f(u) = 8*u**4 + 4*u**3 - 41*u**2 - 52*u + 9. Let z(m) = r*f(m) - 15*s(m). Factor z(h).
5*(h - 3)*(h + 2)**2*(5*h - 1)
Find r, given that 4 + 154/5*r - 10*r**2 - 16/5*r**3 = 0.
-5, -1/8, 2
Let u(w) be the second derivative of w**5/60 - 5*w**4/18 + 8*w**3/9 + 783*w. Factor u(c).
c*(c - 8)*(c - 2)/3
Factor -26912/7 + 3538/7*w - 148/7*w**2 + 2/7*w**3.
2*(w - 29)**2*(w - 16)/7
Let z(o) be the third derivative