 be (-5)/40 + 3/120*65. What is o in 3*o**3 + 9/2*o**4 - 6*o**2 + d - 3*o = 0?
-1, 1/3, 1
Factor -3/4*u**4 + 0*u + 3/2*u**2 + 0 + 3/4*u**3.
-3*u**2*(u - 2)*(u + 1)/4
Let m(p) = -2*p**3 + 35*p - 27. Suppose 2*y - 4 = j, y + y = 2. Let b(o) = -3*o**3 + 35*o - 28. Let w(t) = j*m(t) + 3*b(t). Suppose w(z) = 0. What is z?
-3, 1, 2
Let s be ((-4)/21)/(17/(2023/(-255))). Let x(g) be the first derivative of -9 + 1/15*g**2 + 0*g - 1/45*g**6 - s*g**3 + 0*g**4 + 4/75*g**5. Solve x(b) = 0 for b.
-1, 0, 1
Let a be (-14)/(-10) - 894/(-90). Factor -14*x**3 - 22/3*x**2 - 4/3*x - a*x**4 + 0 - 10/3*x**5.
-2*x*(x + 1)**3*(5*x + 2)/3
Let p = 20 + -15. Factor 4*z**3 - 2*z**3 + 3*z + 0*z + 3*z**2 - 3*z**4 - p*z**3.
-3*z*(z - 1)*(z + 1)**2
Let q(c) be the first derivative of -c**5/50 + c**4/30 + 4*c**3/15 - 4*c**2/5 - 19*c - 29. Let n(y) be the first derivative of q(y). Factor n(u).
-2*(u - 2)*(u - 1)*(u + 2)/5
Let p(a) = -2*a**3 + 33*a**2 - 78*a + 112. Let k be p(14). Let -1/4*s**5 + k + 1/2*s**4 + 0*s + 0*s**2 - 1/4*s**3 = 0. What is s?
0, 1
Let t(g) be the third derivative of 0*g**3 + 4/105*g**6 - 1/21*g**4 - 2/245*g**7 + 0 - 15*g**2 - 1/35*g**5 + 0*g. Solve t(h) = 0 for h.
-1/3, 0, 1, 2
Factor 343 + 245/3*a + 62*a**3 - 23/3*a**4 - 574/3*a**2 + 1/3*a**5.
(a - 7)**3*(a - 3)*(a + 1)/3
Suppose 14*v - 10*v - 8 = 0. Suppose -3*r - 4*r - 3 - r**v + 3*r = 0. Calculate r.
-3, -1
Let a be (-726)/264 + 2 + (-1)/(-1). Let o(d) be the first derivative of 3/10*d**5 + 3/2*d - d**3 - a*d**6 + 3/4*d**4 - 4 - 3/4*d**2. Let o(l) = 0. Calculate l.
-1, 1
What is n in 3/2*n**4 + 18*n**2 - 9*n**3 - 12*n + 0 = 0?
0, 2
Let x(y) be the third derivative of 0 - 7/360*y**6 + 1/9*y**3 - 1/24*y**4 + y**2 + 0*y - 1/15*y**5. Factor x(d).
-(d + 1)**2*(7*d - 2)/3
Let h(y) = -3*y**4 + 10*y**3 - 23*y**2 - 80*y + 116. Let x(f) = f**4 - 3*f**3 + 8*f**2 + 27*f - 39. Let g(l) = 3*h(l) + 8*x(l). What is u in g(u) = 0?
-2, 2, 3
Let k(s) be the first derivative of s**3/15 - 3*s**2/10 + 223. Factor k(c).
c*(c - 3)/5
Let d(i) = -9*i**2 - 10*i - 1. Let c(l) = -4 + 4 + 4 + 15*l**2 + 11*l**2 + 30*l. Let p(w) = -4*c(w) - 11*d(w). Suppose p(o) = 0. What is o?
-1
Let d be (3 - 0) + (-4 - -3 - -4). Find p, given that d*p - 7*p**2 - 9*p + 7*p = 0.
0, 4/7
Let v(g) be the second derivative of -g**8/2240 - g**7/280 - g**6/80 - g**5/40 + g**4/3 - 20*g. Let h(m) be the third derivative of v(m). Factor h(w).
-3*(w + 1)**3
Factor -5/2*r**2 - 10*r - 10.
-5*(r + 2)**2/2
Let k(l) be the first derivative of -l**4/2 + 4*l**3 + 89. Factor k(n).
-2*n**2*(n - 6)
Let q be 2*(-5)/16*90/(-25). Find o, given that -1/2 - o**2 - q*o = 0.
-2, -1/4
Let f(l) be the first derivative of -4*l**5/35 + l**4/7 + 12*l**3/7 + 22*l**2/7 + 16*l/7 - 7. Factor f(w).
-4*(w - 4)*(w + 1)**3/7
Find p such that 20/17 - 8/17*p**2 - 14/17*p + 2/17*p**3 = 0.
-2, 1, 5
Let z = 8 - 4. Suppose 4*r - 2*h - 3 = h, 0 = 3*r + z*h + 4. Determine u so that r*u**2 - 3/5*u**3 + 0 + 3/5*u = 0.
-1, 0, 1
Let w(p) be the third derivative of 5/12*p**3 - 1/240*p**6 - 37*p**2 + 0 + 3/16*p**4 + 1/40*p**5 + 0*p. Factor w(k).
-(k - 5)*(k + 1)**2/2
Let w(k) = 4*k**2 + 260*k - 4. Let l(f) = -2*f**2 - 257*f + 3. Let m(v) = -4*l(v) - 3*w(v). Find q, given that m(q) = 0.
0, 62
Let n(i) be the third derivative of -i**7/70 - i**6/4 - 2*i**5/5 + 5*i**4/4 + 9*i**3/2 - 124*i**2 + 2. Factor n(j).
-3*(j - 1)*(j + 1)**2*(j + 9)
Let t(n) be the second derivative of n**6/10 + n**4/12 + n**2 + n - 30. Let f = 3 + -1. Let u(z) = 4*z**4 + 2*z**2 + 3. Let i(p) = f*u(p) - 3*t(p). Factor i(h).
-h**2*(h - 1)*(h + 1)
Suppose 3*n = -0*n + 3. Let v = 6 - n. Factor -m - v + 5*m**2 - 23*m + 10*m**2 - 3*m**3 + 17.
-3*(m - 2)**2*(m - 1)
Let q(g) be the second derivative of 0 + 0*g**2 - 1/80*g**5 - 1/96*g**4 - 1/240*g**6 + 0*g**3 - 2*g. Factor q(h).
-h**2*(h + 1)**2/8
Let n(l) be the first derivative of 1/12*l**3 + 12 - l + 3/8*l**2. Factor n(k).
(k - 1)*(k + 4)/4
Let d(i) = 3*i**3 - i**2 + 2*i - 2. Let t be d(1). What is u in -3 - 4*u**2 + 0*u**t + 16*u - 9 = 0?
1, 3
Let c(w) be the third derivative of w**6/24 + w**5/2 + 15*w**4/8 + 10*w**3/3 - 29*w**2 - w. Determine z so that c(z) = 0.
-4, -1
Let s be 0/3*(-367 - -368). Factor 0*b + s - 3/2*b**3 + 3/4*b**2 + 3/4*b**4.
3*b**2*(b - 1)**2/4
Suppose r = -2, -3*r = 2*m - r. Let c = 0 - -2. Determine v so that 2*v - 18 + 18 - c*v**m = 0.
0, 1
Let l = 3003 - 9008/3. Suppose -l*n**3 + 1/6*n**4 + 0*n + 0 + 1/6*n**2 = 0. What is n?
0, 1
Let y(z) be the third derivative of -z**7/1260 + z**6/90 - z**5/15 + z**4/12 + z**2. Let r(w) be the second derivative of y(w). Factor r(s).
-2*(s - 2)**2
Let d(u) be the third derivative of u**8/1680 - 11*u**7/350 + 53*u**6/100 - 383*u**5/150 + 47*u**4/8 - 15*u**3/2 - u**2 - 7. Factor d(p).
(p - 15)**2*(p - 1)**3/5
Let u(z) = -5*z - 318. Let y be u(-64). Factor 0 + 2*f**3 + 4/3*f + 10/3*f**y.
2*f*(f + 1)*(3*f + 2)/3
Let r be (7 + 378/(-36))/((-14)/8). Solve 42/5*w + 3/5*w**r + 147/5 = 0 for w.
-7
Let x(p) be the first derivative of -p**6/240 - p**5/40 - p**4/16 - p**3/12 - 13*p**2/2 + 11. Let l(r) be the second derivative of x(r). Factor l(u).
-(u + 1)**3/2
Suppose -3 = s - f - 8, -2*f = 5*s - 4. Let u be -2*1/s - -3. Factor -2*d**3 + 11 - 11 + 2*d**4 - u*d**2 + 2*d.
2*d*(d - 1)**2*(d + 1)
Let n(f) = -5*f - 10. Let x = -136 - -134. Let v be n(x). Find o, given that -6*o + 0 + v*o**2 + 9/2*o**3 - 3/2*o**4 = 0.
-1, 0, 2
Let w = 57 + -42. Let x be 1/(-3) - (-7 - (-100)/w). Let 3/7*d**2 + 3/7*d + x = 0. What is d?
-1, 0
Let w(v) = -9*v**4 - 3*v**3 - 17*v**2 + 57*v - 48. Let f(s) = -7*s**4 - 3*s**3 - 16*s**2 + 56*s - 48. Let g(z) = 5*f(z) - 4*w(z). Suppose g(k) = 0. Calculate k.
-4, 2, 3
Let u be (-1 + -2)*4/(-6). Let a(n) = 6*n**2 + 2. Let h be a(u). Factor 3*p**3 + 19*p - 11*p**2 + 5*p + h*p**2 + 12.
3*(p + 1)*(p + 2)**2
Let x(s) be the first derivative of -5*s**6/6 + 2*s**5 + 5*s**4/2 - 20*s**3/3 - 5*s**2/2 + 10*s + 2. Find w, given that x(w) = 0.
-1, 1, 2
Let y(x) be the second derivative of 1/80*x**5 - 1/48*x**4 - 9*x - 1/24*x**3 + 1/120*x**6 + 0*x**2 + 0. Factor y(v).
v*(v - 1)*(v + 1)**2/4
Determine n, given that -38*n + 1/2*n**3 + 40 + 8*n**2 = 0.
-20, 2
Let c = -10 + 281/28. Let u(k) be the second derivative of 0*k**6 + 2*k + 0 + 0*k**2 + 0*k**4 + 3/40*k**5 - c*k**7 + 0*k**3. Determine p so that u(p) = 0.
-1, 0, 1
Suppose 12*v - 96 = -20*v. Factor -2/9*b**v + 0*b**2 + 2/9*b + 0.
-2*b*(b - 1)*(b + 1)/9
Let n(w) = -w**3 - 2*w**2. Let j(s) = -5*s**2 - 24*s + 80. Let t(q) = -j(q) + n(q). Factor t(d).
-(d - 4)**2*(d + 5)
Let f(d) = 3*d**2 + 4*d - d**3 + 14*d + 14*d**2. Let c be f(18). Solve -13/6*y**4 + 2*y**5 - 2/3*y**2 - 10/3*y**3 + c + 0*y = 0 for y.
-2/3, -1/4, 0, 2
Solve -1/6*v**3 + 5/2*v**2 + 0*v + 0 = 0 for v.
0, 15
Factor -2*q**3 + 43/2*q**2 - 29/2*q - 5.
-(q - 10)*(q - 1)*(4*q + 1)/2
Let z = -39 + 83. Let r be (z/(-20) + 3)/2. Factor 0*l - r*l**2 + 0 + 8/5*l**3 - 6/5*l**4.
-2*l**2*(l - 1)*(3*l - 1)/5
Let y(c) be the second derivative of 2*c**7/525 + c**6/100 - c**5/75 + 2*c**2 - 24*c. Let l(t) be the first derivative of y(t). Factor l(f).
2*f**2*(f + 2)*(2*f - 1)/5
Let r(b) be the third derivative of 1/630*b**7 - 1/180*b**6 + 0 + 0*b**4 + 22*b**2 + 0*b**5 + 0*b + 0*b**3. Factor r(y).
y**3*(y - 2)/3
What is f in -52 + 2/3*f**2 + 154/3*f = 0?
-78, 1
Let i = 1 + 1. Suppose i = m - 2. Factor -u**3 - 3*u**3 - 5*u**3 - 2*u**4 - m*u**2 + 3*u**3.
-2*u**2*(u + 1)*(u + 2)
Determine r so that 9/2*r + 0 + 3/2*r**3 - 6*r**2 = 0.
0, 1, 3
Suppose 5*r + 4*h + 6 = 0, 0*h + 12 = -3*h. Let n(x) be the second derivative of 0 - 1/40*x**5 + 0*x**2 - r*x + 1/24*x**4 + 0*x**3. Find l such that n(l) = 0.
0, 1
Solve 0*c + 0*c + 25*c**5 + 14*c**3 - 4*c**3 + 35*c**4 = 0 for c.
-1, -2/5, 0
Factor -12/17 + 2/17*x**2 + 10/17*x.
2*(x - 1)*(x + 6)/17
Let i = -95409 + 95412. Let g = -5/4 + 7/4. Find n such that g*n**i + 0 - 1/2*n**4 + 0*n + 0*n**2 = 0.
0, 1
Let u(m) = -3*m**2 - 293*m + 1973. Let r(n) = n**2 + 146*n - 986. Let h(p) = -13*r(p) - 6*u(p). Factor h(y).
5*(y - 14)**2
Suppose -4*o + 525 = -5*p, o = -0*o. Let h = 429/4 + p. Find w such that 7/4*w**2 + 1/2 - h*w = 0.
2/7, 1
Let v(f) = f**2 + 97*f - 103. Let s(h) = 2*h**2 + 146*h - 156. Let i(a) = -5*s(a) + 8*v(a). Determine y so that i(y) = 0.
1, 22
Let m(b) be the second derivative of -b**9/1008