 a = 6172/9261 + 2/9261. Find z, given that z**2 - 1/3*z**4 - a*z**3 + 0 + 0*z = 0.
-3, 0, 1
Let o(x) be the first derivative of -x**5/20 + x**4/3 + x**3/2 - 19*x**2/2 + 2. Let s(i) be the second derivative of o(i). Solve s(g) = 0.
-1/3, 3
Let l(j) = 5*j**3 - 30*j**2 + 10*j + 30. Let o(g) = 5*g**3 - 28*g**2 + 9*g + 30. Let p(w) = -4*l(w) + 5*o(w). Factor p(r).
5*(r - 3)*(r - 2)*(r + 1)
Let a(q) = 8*q**2 - 2*q - 7. Let f(y) be the second derivative of -55*y**4/12 + 5*y**3/2 + 25*y**2 + 34*y. Let c(s) = 20*a(s) + 3*f(s). Solve c(h) = 0 for h.
-1, 2
Factor -24*s**2 + 24 + 0*s**3 + 69*s + 59*s - 126*s - 2*s**3.
-2*(s - 1)*(s + 1)*(s + 12)
Factor -43*l**2 + 14*l**2 - 10*l - 9*l**4 - 22*l**3 - 6*l**3.
-l*(l + 1)**2*(9*l + 10)
What is b in 28/3*b - 4 + 1/3*b**4 + 2/3*b**3 - 19/3*b**2 = 0?
-6, 1, 2
Let u(h) be the second derivative of -1/36*h**4 + 25*h - h**2 + 0 - 7/18*h**3. Factor u(n).
-(n + 1)*(n + 6)/3
Let b(q) be the second derivative of -q**4/7 + 9*q**3/14 - 3*q**2/7 + q - 78. Let b(p) = 0. What is p?
1/4, 2
Let h(q) be the second derivative of 7/4*q**4 - 3/20*q**5 - 4*q**3 - 32*q - 24*q**2 + 0. Factor h(t).
-3*(t - 4)**2*(t + 1)
Suppose 75*v - 81*v = 0. Let c be 34/12 + 3/(-2). Find r such that 2/3*r**3 + v*r + c*r**2 + 0 = 0.
-2, 0
Let n(p) = 5*p**2 - 1. Let z be n(-1). Let q be z/(-14) - (-408)/105. Factor q*a**3 + 2/5*a**5 + 0 - 14/5*a**2 - 2*a**4 + 4/5*a.
2*a*(a - 2)*(a - 1)**3/5
Let u(m) be the third derivative of -m**6/60 + 13*m**5/10 - 30*m**4 - 400*m**3/3 + 125*m**2. Factor u(z).
-2*(z - 20)**2*(z + 1)
Let j be ((-291)/(-2328) - (-1)/56)*(-6)/(-2). Solve -3/7*w**2 + 0 + j*w**3 + 0*w = 0 for w.
0, 1
Let a be (-2 - (-10)/4)*106. Let r = -50 + a. Suppose 0*n**r - 1/3*n**4 + 0 + 0*n + 1/3*n**2 = 0. Calculate n.
-1, 0, 1
Let t(j) = j + 4. Let g be t(8). Suppose 5*q = g + 3. What is o in -21*o + 24*o**2 - 2*o**4 + 6 + 3*o**5 - 6*o**q + 3*o**4 - 7*o**4 + 0*o**5 = 0?
-2, 1
Let h(p) be the second derivative of p**7/98 + p**6/105 - p**5/20 + p**4/42 - 10*p + 7. Let h(b) = 0. What is b?
-2, 0, 1/3, 1
Let -1/2*z**5 - 4*z**2 - 3*z**4 + 0*z + 0 - 6*z**3 = 0. Calculate z.
-2, 0
Determine b so that 2/17*b**3 - 24/17 - 6/17*b**2 - 32/17*b = 0.
-2, -1, 6
Suppose 4*x = 3*x + 23. Suppose 3*o = r + 68, -2*o = -2*r - 17 - x. Let h(d) = -196*d**2 + 200*d - 64. Let c(a) = -a. Let k(i) = o*c(i) - h(i). Factor k(q).
4*(7*q - 4)**2
Let x be -3 - (-320)/(-3) - -4. Let t = 106 + x. Factor 2/3*o**2 + 0 - t*o - 1/3*o**3.
-o*(o - 1)**2/3
Let s(n) be the first derivative of -n**3/3 + 92. Factor s(u).
-u**2
Find s such that -22/19*s**5 + 0*s + 128/19*s**3 + 26/19*s**4 - 24/19*s**2 + 0 = 0.
-2, 0, 2/11, 3
Let k(n) be the second derivative of -17*n + 4/15*n**6 - 1/10*n**5 - 1/7*n**7 + 0 + 0*n**4 + 0*n**2 + 0*n**3. Let k(y) = 0. What is y?
0, 1/3, 1
Let q(p) be the first derivative of p**4/4 - 7*p**3/3 + 11*p**2/2 - 5*p + 139. Factor q(c).
(c - 5)*(c - 1)**2
Factor -1/3*p**2 - 106/3 - 55/3*p.
-(p + 2)*(p + 53)/3
Let g be (152/24 - 6)/((-1)/(-135)). Let q(h) be the first derivative of -75/4*h**4 + 12*h - 4 - 36*h**2 + g*h**3. Factor q(m).
-3*(m - 1)*(5*m - 2)**2
Let n = 9 + -13. Let t be -1 - (-1 + (-4 - n)). Solve t - 4/11*v - 2/11*v**3 + 6/11*v**2 = 0.
0, 1, 2
Factor -204*k**2 - 962948 + 4/7*k**3 + 24276*k.
4*(k - 119)**3/7
Let i(n) be the first derivative of n**9/33264 + n**8/9240 + n**7/9240 - 6*n**3 - 7. Let b(f) be the third derivative of i(f). Factor b(a).
a**3*(a + 1)**2/11
Let o(w) be the first derivative of 2*w**5/5 - 2*w**4 - 10*w**3 + 18*w**2 + 72. Determine u, given that o(u) = 0.
-3, 0, 1, 6
Let -10/13*p**3 - 68/13*p**2 + 14/13*p + 0 = 0. What is p?
-7, 0, 1/5
Let r be (-200)/(-16) - (-7 + 19). Factor r*a**4 + 0*a**2 + 0*a + 0*a**3 + 0 - 1/2*a**5.
-a**4*(a - 1)/2
Let g be 693/2093 - (4 + -1). Let l = g - -72/23. Determine v so that -l + 2/13*v**2 + 4/13*v = 0.
-3, 1
Let p = 1/51338 + 102671/256690. Factor p*d + 3/5 - 1/5*d**2.
-(d - 3)*(d + 1)/5
Let m(x) = -x**5 + x**4 + x**3 + x**2 - x - 1. Let s(o) = 2*o**5 - o**4 + 2*o**3 - 9*o**2 + 3*o + 3. Let u(t) = 3*m(t) + s(t). Factor u(n).
-n**2*(n - 3)*(n - 1)*(n + 2)
Let k(m) be the third derivative of m**6/660 + 269*m**5/110 + 72361*m**4/44 + 19465109*m**3/33 - 2*m**2 + m. Factor k(i).
2*(i + 269)**3/11
Let d(a) be the first derivative of -a**6/12 - a**5 - 3*a**4/4 + 16*a**3/3 + 47*a**2/4 + 9*a + 647. Find w such that d(w) = 0.
-9, -1, 2
Solve -36/5*h + 12/5*h**2 - 1/5*h**3 + 32/5 = 0.
2, 8
Let a(p) be the third derivative of p**7/3360 - p**6/1440 - 14*p**3/3 + 26*p**2. Let l(g) be the first derivative of a(g). Suppose l(r) = 0. What is r?
0, 1
Let i(u) be the second derivative of u**3 - 1/5*u**6 + 19*u + 0 + u**2 + 1/3*u**4 - 1/5*u**5 - 1/21*u**7. Factor i(y).
-2*(y - 1)*(y + 1)**4
Let k(i) = i**3 + 4*i**2 - 5*i - 2. Let b be k(-4). Find y such that 2*y**3 + b - 3*y - 5*y**3 - 68*y**2 + 56*y**2 = 0.
-3, -2, 1
Let b(i) be the second derivative of -5*i**4/28 + i**3/14 + 6*i**2/7 - 8*i + 2. Factor b(q).
-3*(q - 1)*(5*q + 4)/7
Let r(i) be the second derivative of -5/12*i**4 - 1/4*i**5 + 0 + 0*i**2 - 34*i + 5/3*i**3. Factor r(g).
-5*g*(g - 1)*(g + 2)
Factor 25/9*x - 7/3*x**2 - 4/9.
-(x - 1)*(21*x - 4)/9
Let h be 462/1848 + 5/28. Let 3/7*w**3 + 9/7*w**2 - 6/7*w + 0 - 9/7*w**4 + h*w**5 = 0. Calculate w.
-1, 0, 1, 2
Let x(t) be the third derivative of 0*t**4 + 1/12*t**6 + 11*t**2 - 1/12*t**5 + 0*t**3 + 0*t + 0 - 1/42*t**7. Suppose x(w) = 0. What is w?
0, 1
Let i = -7445/21 - -355. Factor i*f + 2/21*f**3 + 8/21*f**2 + 4/21.
2*(f + 1)**2*(f + 2)/21
Let p = -203 - -203. Let h(w) be the third derivative of p + 4/3*w**3 + w**2 + 1/30*w**5 + 0*w + 1/3*w**4. Find g such that h(g) = 0.
-2
Let p(v) be the first derivative of -3*v**5/5 + 21*v**4/4 - v**3 - 81*v**2/2 - 54*v + 91. Factor p(l).
-3*(l - 6)*(l - 3)*(l + 1)**2
Suppose 2*i - 39 = -33. Factor -12*v - 20*v**3 + 3*v + 6 + 23*v**i.
3*(v - 1)**2*(v + 2)
Let s(q) = -2*q**4 - q**3 + 2*q**2 + q + 1. Let z(j) = -35*j**4 + 195*j**3 - 180*j**2 + 20*j + 20. Let v(f) = -20*s(f) + z(f). Solve v(t) = 0 for t.
-44, 0, 1
Let j(l) be the third derivative of -1/60*l**5 - 15*l**2 + 1/12*l**4 + 0 + 0*l**3 + 0*l. Factor j(h).
-h*(h - 2)
Let r(t) be the first derivative of t**4 - 4*t**3 + 6. Suppose r(b) = 0. What is b?
0, 3
Let b(t) = t**4 - t**3 + t**2 + 2*t + 1. Let z(f) = 16*f**4 - 156*f**3 + 988*f**2 + 5784*f + 6412. Let q(m) = 12*b(m) - z(m). Let q(l) = 0. What is l?
-2, 20
Let r be (-4 + (-3995)/(-5))*2/6. Let n be (-2)/(-4) + (-4 - r/(-70)). Factor -2/7*y + 2/7*y**2 - n + 2/7*y**3.
2*(y - 1)*(y + 1)**2/7
Find v such that 6/7 - 4/7*v**2 - 2/7*v = 0.
-3/2, 1
Suppose l - 4 = -2*t, -2*l = t - l - 2. Suppose 0 = j + 24 - 26. What is s in 9*s - 3*s**j + 4 - 5 - t - 3 = 0?
1, 2
Let s be 2/1*(-9 + 11). Suppose 9 = s*j + 1. Factor 0*c + 2*c**2 - 4*c**2 - 2*c**2 - 2*c + 4 + j*c**3.
2*(c - 2)*(c - 1)*(c + 1)
Let w(h) be the second derivative of 16*h**7/21 + 152*h**6/15 + 278*h**5/5 + 485*h**4/3 + 800*h**3/3 + 250*h**2 - 3*h. Find k, given that w(k) = 0.
-5/2, -1
Let o be (8 - (3 + 8) - -5) + 0. What is k in -2/5 + 1/5*k - 1/5*k**3 + 2/5*k**o = 0?
-1, 1, 2
Let n = 50/157 - -606/2041. Factor 8/13 + n*o + 2/13*o**2.
2*(o + 2)**2/13
Let j(u) = -3*u**3 - u**2 + 8*u + 2. Let m(d) = 7*d**3 + d**2 - 15*d - 5. Let f(s) = 5*j(s) + 2*m(s). Solve f(w) = 0 for w.
-5, 0, 2
Let v = 42565/99323 - -2/99323. Factor -72/7*c - v*c**3 + 33/7*c**2 - 108/7.
-3*(c - 6)**2*(c + 1)/7
Let d be (-77)/6 + (-923)/(-71). Let y(w) be the first derivative of d*w**3 - w**2 + 3/2*w - 8. Factor y(c).
(c - 3)*(c - 1)/2
Let s(l) be the second derivative of -l**4/24 - l**3/2 - 2*l**2 + 164*l. Factor s(c).
-(c + 2)*(c + 4)/2
Let g(p) be the second derivative of p**4/18 - 5*p**3/9 - 656*p. Factor g(h).
2*h*(h - 5)/3
Suppose z + 2*k - 14 = 4*k, -10 = 2*k. Let v(a) be the third derivative of 0 - 3*a**2 - 3/14*a**3 + 0*a - 1/28*a**z - 1/420*a**5. Determine l so that v(l) = 0.
-3
Let u(i) = 15*i**4 + 36*i**3 - 54*i**2 - 75*i - 72. Let d(f) = -7*f**4 - 18*f**3 + 27*f**2 + 38*f + 32. Let c(r) = -9*d(r) - 4*u(r). Solve c(y) = 0 for y.
-7, -1, 0, 2
Factor 170/3*c**2 - 94/9*c**3 + 2/3*c**4 + 500/9 - 350/3*c.
2*(c - 5)**3*(3*c - 2)/9
Let h(k) be the third derivative of -k**6/900 + k**5/300 + k**4/30 - 25*k**3/6 + 14*k**2. Let d(b) be the fi