96/7 = 0.
-774, -2
Factor -291/7*r - 846/7 - 3/7*r**2.
-3*(r + 3)*(r + 94)/7
Let x be 1*7/(28/(-16))*14/(-336). Let a be -1*(3 + 1 + -5) + 3. Determine t, given that 0*t - 1/6*t**a - 1/6*t**5 + 1/6*t**3 + 0 + x*t**2 = 0.
-1, 0, 1
Let l(d) be the first derivative of -d**6/24 + d**5/10 - d**4/16 - 1287. Factor l(h).
-h**3*(h - 1)**2/4
Suppose -6*z = -17*z + 44. Suppose -z*i + 9*i = -i. Factor i*o - 4*o**2 - 4/3*o**3 + 0.
-4*o**2*(o + 3)/3
Let n(z) = 18*z - 13 - 81*z**2 - 79*z**2 - 3 + 161*z**2. Let f be n(-19). Suppose -3/2 + 15/2*t**3 + 111/8*t**2 - f*t = 0. Calculate t.
-2, -1/4, 2/5
Suppose -11*a = -13*a + 3*c + 992, 2*a - 996 = 4*c. Let p be -4 - -3*13/(4641/a). Solve 0*o - 6/17*o**4 - 8/17 + p*o**3 - 2/17*o**5 + 14/17*o**2 = 0 for o.
-2, -1, 1
Let f(u) be the second derivative of -1/16*u**5 - 117*u - 1/168*u**7 - 1/30*u**6 + 0*u**3 + 0 - 1/24*u**4 + 0*u**2. Factor f(z).
-z**2*(z + 1)**2*(z + 2)/4
Let 147*u**4 + 147*u**3 + 33*u - 646*u**2 + 345*u - 189*u**3 - 27 - 674*u**2 = 0. Calculate u.
-3, 1/7, 3
Let j(l) be the second derivative of l**5/100 + 59*l**4/30 + 247*l**3/2 + 6498*l**2/5 + 725*l. Factor j(y).
(y + 4)*(y + 57)**2/5
Let t(i) be the third derivative of 0*i**4 + 0*i**5 - 2/735*i**7 + 0*i + 0 + 1/1176*i**8 + 28*i**2 + 0*i**3 - 1/140*i**6. Factor t(c).
2*c**3*(c - 3)*(c + 1)/7
Let o(n) be the third derivative of -5*n**8/28 + 38*n**7/105 + 7*n**6/6 - n**5 - 10*n**4/3 - 8*n**3/3 - 562*n**2. Suppose o(c) = 0. What is c?
-1, -2/5, -1/3, 1, 2
Suppose -3*c + 33 = 2*r, -3*c + r - 1 + 25 = 0. Let 9 + 3*i - 3*i - c*i**2 + 6*i + 13 + i**3 - 6 = 0. What is i?
-1, 2, 8
What is i in 591/8*i**3 + 4293/2*i - 3357/4*i**2 - 729 - 15/8*i**4 = 0?
2/5, 3, 18
Let m be (-35)/(-11) - ((-54)/(-99))/3. Let j = 0 + 1/7. Factor 0 + 1/7*z**2 + 0*z + j*z**m.
z**2*(z + 1)/7
Let r(v) be the second derivative of v**6/45 - 407*v**5/15 + 55487*v**4/6 - 330484*v**3/9 + 164836*v**2/3 + 2823*v. Find d, given that r(d) = 0.
1, 406
Let t(p) be the first derivative of 32/5*p**5 - 9 + 0*p + 0*p**3 + 0*p**2 - 15*p**4 - 2/3*p**6. Factor t(h).
-4*h**3*(h - 5)*(h - 3)
Let q = 694 + -690. Let m(i) be the third derivative of 0 + 0*i**6 + 0*i - 1/1365*i**7 + 0*i**3 + 0*i**q + 1/390*i**5 - 16*i**2. Factor m(t).
-2*t**2*(t - 1)*(t + 1)/13
Suppose 3875/2*u**4 + 499225*u**3 + 86869895/2 + 5/2*u**5 + 42430675*u**2 - 172733575/2*u = 0. Calculate u.
-259, 1
Let l(v) be the first derivative of 5*v**3/3 - 210*v**2 + 415*v + 2625. Find c, given that l(c) = 0.
1, 83
Let f(p) be the third derivative of 1/6*p**5 + 0*p + 0 - 1/60*p**6 + 74*p**2 - 3*p**3 - 1/4*p**4. Suppose f(c) = 0. What is c?
-1, 3
Let s = -191384/5 - -38277. Factor 4/5*o**2 + o + 2/5 + s*o**3.
(o + 1)**2*(o + 2)/5
Let g(p) = -3*p**4 + 8*p**3 - 2*p**2 - 22*p + 12. Let f(x) = -5*x**4 + 15*x**3 - 5*x**2 - 45*x + 25. Let v(b) = 7*f(b) - 15*g(b). Find y, given that v(y) = 0.
-1, 1/2, 1
Let c(o) = -25*o**2 + 5610*o + 4315. Let y(t) = t**2 - 42*t + 1. Let a(n) = -c(n) - 30*y(n). Factor a(l).
-5*(l + 1)*(l + 869)
Let r(a) be the second derivative of -a**4/78 + 40*a**3/39 + 84*a**2/13 + 89*a. Factor r(c).
-2*(c - 42)*(c + 2)/13
Let z(p) be the first derivative of 188 - 1/2*p**3 + 27/2*p + 6*p**2. Factor z(s).
-3*(s - 9)*(s + 1)/2
Suppose -32*p + 39*p = 0. Suppose -48*x**3 + 264*x**2 - 576*x + 432 - 6*x**4 + 9*x**4 + p*x**3 = 0. Calculate x.
2, 6
Factor 300 - 30*u**2 - 131 + 20*u - 144 + 25*u**2.
-5*(u - 5)*(u + 1)
Let u be 1*16 + 8/2. Suppose 0 = 4*t + t - u. Find m, given that 2*m**3 + 4*m - 4*m**4 - 6*m**3 - 27*m**2 + 2*m**t + 29*m**2 = 0.
-2, -1, 0, 1
Let x = 136 - 127. Determine i so that -9*i**2 + x*i + 27*i**3 - 3 + 12*i - 36*i = 0.
-1/3, 1
Factor -33304 - 2*l**2 - 1716*l + 305384 - 26692 + 5*l**2.
3*(l - 286)**2
Let x(c) be the third derivative of c - 3/2*c**3 + 0 + 0*c**6 + 1/70*c**7 - 3/10*c**5 + 21*c**2 - c**4. Factor x(l).
3*(l - 3)*(l + 1)**3
Let y(h) be the second derivative of h**6/12 - 2*h**5 + 10*h**4 + 4631*h. Factor y(i).
5*i**2*(i - 12)*(i - 4)/2
Let n be (-7)/((-14)/7 - 33). Let b(c) be the first derivative of 4/25*c**5 - 4/15*c**3 + 0*c + 0*c**4 + n*c**2 + 6 - 1/15*c**6. What is h in b(h) = 0?
-1, 0, 1
Let x(w) be the first derivative of -4*w**3/9 - 386*w**2 + 4648*w/3 + 2064. Determine f, given that x(f) = 0.
-581, 2
Let d(k) = k**3 - 7*k**2 + 15*k - 9. Let t be d(4). Factor -11*n**2 + 0*n**5 - 33*n**3 - 4*n**2 - 12*n**4 - 9*n**4 - t*n**5.
-3*n**2*(n + 1)**2*(n + 5)
Let g(x) = -x**2 - 7*x - 6. Let l be g(-5). Suppose -1 = s - l. Find a such that a**3 - 22*a**5 - 35*a**4 - 18*a**3 + 7*a**s - 3*a**5 = 0.
-1, -2/5, 0
Let h(w) be the third derivative of w**6/30 - 7*w**4/6 - 4*w**3 + 2677*w**2. Suppose h(j) = 0. What is j?
-2, -1, 3
Suppose 0 = 5*x - 663144 + 663134. Factor 0 + 6/5*h**x + 162/5*h.
6*h*(h + 27)/5
Let q be ((-693)/(-14))/11 - 2/(20/15). Let i(p) be the first derivative of -2*p**2 + 0*p + 2 + 2/3*p**q. Determine b so that i(b) = 0.
0, 2
Let h(a) = 43*a**4 - 122*a**3 - 81*a**2 + 86*a + 56. Let c(f) = 10*f**4 - 30*f**3 - 20*f**2 + 22*f + 14. Let w(n) = -9*c(n) + 2*h(n). What is p in w(p) = 0?
-1, -1/2, 1, 7
Let j(s) be the first derivative of -61 - 4/23*s - 7/23*s**2 - 3/46*s**4 - 16/69*s**3. Let j(i) = 0. What is i?
-1, -2/3
Let p(u) be the third derivative of 11*u**7/245 + 5*u**6/168 - 5*u**5/12 + 10*u**4/21 + 2*u**3/21 + u**2 - 4686*u + 1. What is t in p(t) = 0?
-2, -1/22, 2/3, 1
Let t(g) be the first derivative of -48400*g**3/3 - 440*g**2 - 4*g + 1618. Factor t(q).
-4*(110*q + 1)**2
Let v(x) = -7*x**2 - 17634*x + 18147589. Let b(a) = 2*a**2 + 4422*a - 4536897. Let n(y) = -11*b(y) - 3*v(y). Factor n(f).
-(f - 2130)**2
Let b(v) = -5*v**3 + 90*v**2 - 15*v - 90. Let q = -139 - -138. Let a(z) = 2*z. Let x(d) = q*b(d) - 10*a(d). Factor x(j).
5*(j - 18)*(j - 1)*(j + 1)
Suppose -5*c = -c - 12. Determine x, given that -23*x - c*x**2 + 8*x + 39 - 22 - 35 = 0.
-3, -2
Let q(f) = f**2 + 24*f - 142. Let r be q(5). Factor 3 + r*o + o**2 + 1/9*o**3.
(o + 3)**3/9
Let a(w) be the second derivative of w**4/12 + 44*w**3/3 - 90*w**2 - 116*w. Factor a(q).
(q - 2)*(q + 90)
Let s(w) be the second derivative of -15/8*w**5 - 85/24*w**4 - 5/2*w**3 - 1/4*w**6 + 1 + 19*w + 0*w**2 + 5/84*w**7. Factor s(n).
5*n*(n - 6)*(n + 1)**3/2
Let h(l) be the third derivative of l**8/5040 + l**7/1260 - l**6/360 + 67*l**3/6 + 77*l**2. Let j(i) be the first derivative of h(i). Factor j(c).
c**2*(c - 1)*(c + 3)/3
Let q(i) = -i**2 - 24*i + 2. Let x(t) = 4*t**2 + 73*t - 7. Let b(w) = -2*w**3 + w**2 - 1. Let l be b(1). Let a(u) = l*x(u) - 7*q(u). Find y such that a(y) = 0.
0, 22
Let m(h) be the third derivative of -h**8/2520 - 74*h**7/1575 - 71*h**6/225 - 28*h**5/45 - 3*h**2 - 45*h. Factor m(w).
-2*w**2*(w + 2)**2*(w + 70)/15
Let w(h) be the first derivative of -h**7/140 + 7*h**6/36 - 11*h**5/30 + 38*h**3/3 + 111. Let n(d) be the third derivative of w(d). Factor n(k).
-2*k*(k - 11)*(3*k - 2)
Let n be -2 + 374/55 - 18/10. Factor 0 - 30/17*q**2 - 2/17*q**4 - 14/17*q - 18/17*q**n.
-2*q*(q + 1)**2*(q + 7)/17
Let v(z) be the third derivative of 2*z**7/735 + 181*z**6/420 + 44*z**5/15 + 611*z**4/84 + 58*z**3/7 - 1540*z**2. Suppose v(i) = 0. What is i?
-87, -2, -1, -1/2
Let m be 2408/70 + 4/(-10). Factor 3*j**4 + m*j**3 + 16 - 41*j**2 + 13*j**2 + 2*j**4 + j**4 + 40*j - 44*j**3.
2*(j - 2)**2*(j + 2)*(3*j + 1)
Let v be (-1 + -9)/(33/(1452/(-8))). Suppose -53*r = -v*r + 4. Factor 0 + 1/8*f**4 - 1/8*f**3 - 1/4*f**r + 0*f.
f**2*(f - 2)*(f + 1)/8
Let f = 290 - 288. Let -36*l + 4*l**3 + 89*l**2 + 81*l**2 - 170*l**f = 0. What is l?
-3, 0, 3
Let u be ((-2)/18*6)/((-385)/660). Factor -58/7*n + u*n**2 + 2.
2*(n - 7)*(4*n - 1)/7
Let k(w) = w**2 - 22*w - 1. Let j(a) = 6*a**2 - 168*a + 230. Let c(n) = j(n) - 2*k(n). Factor c(i).
4*(i - 29)*(i - 2)
Let v be (-1)/(-8) + (-1 - 287/56). Let g be (5*(-1)/v)/(455/4732). Factor -64/3*u + 32/3 + g*u**2 - u**3.
-(u - 4)**2*(3*u - 2)/3
Let i(a) be the second derivative of -16*a**6/15 - 404*a**5/5 - 401*a**4/6 - 50*a**3/3 + 8*a + 145. Factor i(j).
-2*j*(j + 50)*(4*j + 1)**2
Factor 78*q**2 - 2/3*q**3 + 6498 - 2394*q.
-2*(q - 57)**2*(q - 3)/3
Let u(i) = 381*i**2 - 52138*i + 1872298. Let x(z) = 9*z**2 + z - 1. Let y(b) = -u(b) + 2*x(b). Factor y(v).
-3*(11*v - 790)**2
Let f(y) be the second derivative of y**4/42 + 6890*y**3/21 + 