l + 2)
Let r = -51 - -30. Let t(f) = -33*f**3 - 3*f**2 + 21*f. Let h be 4/(-18) - (-94)/18. Let x(z) = -8*z**3 - z**2 + 5*z. Let g(l) = h*t(l) + r*x(l). Factor g(w).
3*w**2*(w + 2)
Factor 0*m**3 + 2/17*m**5 - 2/17*m + 0 + 4/17*m**2 - 4/17*m**4.
2*m*(m - 1)**3*(m + 1)/17
Find m such that 4/15*m + 2/3*m**2 + 0 = 0.
-2/5, 0
Let o(u) be the second derivative of -u**6/18 + u**5/12 + 5*u**4/12 - 25*u**3/18 + 5*u**2/3 - 27*u. Factor o(b).
-5*(b - 1)**3*(b + 2)/3
Let h(n) be the third derivative of n**5/30 - n**4/12 - 7*n**2. Factor h(x).
2*x*(x - 1)
Factor -b**2 + 3*b + 2*b**3 - 6*b**2 + b**2 + b.
2*b*(b - 2)*(b - 1)
Let y(w) be the first derivative of 2*w**5/5 + w**4/2 - 4*w**3/3 + 27. Let y(o) = 0. Calculate o.
-2, 0, 1
Suppose 2*r**2 - 2*r**4 + 2*r**5 - 2*r**3 - 2*r**4 + 2*r**4 = 0. What is r?
-1, 0, 1
Suppose 4*d - 4*c = 32, 2*d - 4*c - 14 = 12. Factor 0*w + 2*w**d + 4/3*w**2 + 0 + 0*w**4 - 2/3*w**5.
-2*w**2*(w - 2)*(w + 1)**2/3
Suppose -3 = 3*k, -2*h - 4*k + 1 = -3. Solve 3*o**2 - 3*o + 3*o**5 - h*o**5 + 12*o**4 + 9*o**2 - 18*o**3 - 2*o**5 = 0 for o.
0, 1
Let r(k) be the third derivative of 1/420*k**6 + 0 + 0*k**3 - 1/1176*k**8 + 0*k**7 + 0*k**4 - 3*k**2 + 0*k + 0*k**5. What is o in r(o) = 0?
-1, 0, 1
Let w(y) = 5*y - 15. Let l be w(6). Let q = l + -13. Find x, given that 0 - 1/3*x + 1/3*x**q = 0.
0, 1
Let w(p) be the first derivative of 2*p**3/3 - p**2 + 4. Factor w(d).
2*d*(d - 1)
Suppose 0 = w + 3 + 2. Let n(c) = c + 5. Let b be n(w). Factor 4/5*u**2 + 2/5*u**3 + 2/5*u + b.
2*u*(u + 1)**2/5
Let d(i) = -5*i**3 - i**2 + i + 1. Let z be d(-1). Find g such that -18*g**3 - 3*g**2 + 18*g + 0*g**2 + 0*g**2 - g**2 + z = 0.
-1, -2/9, 1
Let n(j) be the third derivative of 3*j**5/20 + j**4/2 - 2*j**3 - j**2. Suppose n(z) = 0. Calculate z.
-2, 2/3
Factor 45*k**2 + 48*k - 110*k + 52*k.
5*k*(9*k - 2)
Let x be 3*(-4)/(-12)*2. Determine g so that -6/5*g**2 - 4/5 + 2/5*g**4 + 2/5*g**3 - x*g = 0.
-1, 2
Let b(v) = -2*v**3 - 29*v**2 - 10*v + 61. Let m be b(-14). Determine l, given that -4/5*l**3 + 0 + 2/5*l + 2/5*l**m + 0*l**2 + 0*l**4 = 0.
-1, 0, 1
Factor 0 - 4/3*i**2 - 2/3*i**3 + 0*i.
-2*i**2*(i + 2)/3
Let b be (-1 + 2)/((-1)/(-3)). Suppose 3*h + 4*u - b = 1, 3*h + 5*u - 5 = 0. Factor -2/5*q**2 + h + 4/5*q**3 + 0*q - 2/5*q**4.
-2*q**2*(q - 1)**2/5
Let s(z) be the first derivative of -z**4/36 + z**3/18 + z**2/3 - z - 2. Let r(w) be the first derivative of s(w). Factor r(d).
-(d - 2)*(d + 1)/3
Let d be 2/(12/(-38)) + 7. Factor 4/3*g**2 + d*g**3 + 2/3*g + 0.
2*g*(g + 1)**2/3
Let d(l) be the third derivative of -1/9*l**4 + 0 + 1/45*l**5 - 1/540*l**6 + 0*l + 8/27*l**3 + 2*l**2. Suppose d(s) = 0. Calculate s.
2
Let z(b) be the third derivative of 4*b**2 + 0 + 0*b**7 + 0*b**3 + 1/180*b**4 + 0*b - 1/450*b**6 + 0*b**5 + 1/2520*b**8. Factor z(f).
2*f*(f - 1)**2*(f + 1)**2/15
Suppose 20 = -0*h + 5*h. Suppose w - 20 = -h*w. Find g, given that 30*g**3 - 7*g - 25*g**4 + 11*g**2 + 0 - 5*g - w = 0.
-2/5, 1
Let c(x) = -x**3 + 10*x**2 - 10*x + 11. Let v be c(9). Let p be 0/4 + v - 0. Find f, given that -50/7*f**p - 20/7*f - 2/7 = 0.
-1/5
Let m(b) be the first derivative of 3*b**4/10 + 7*b**3/3 + 24*b**2/5 - 9*b/5 - 13. Factor m(n).
(n + 3)**2*(6*n - 1)/5
Let m = -18 - -18. Suppose 0 = -4*c + 24 - m. Factor -c*h**3 + 0 - 4*h**2 - 2/3*h.
-2*h*(3*h + 1)**2/3
Solve 1/2 - 1/6*n**2 - 1/3*n = 0.
-3, 1
Let o(c) be the third derivative of c**9/7560 + c**8/6720 - c**7/2520 - c**4/12 + 3*c**2. Let q(b) be the second derivative of o(b). Factor q(f).
f**2*(f + 1)*(2*f - 1)
Let o(c) be the third derivative of c**8/504 + 8*c**7/315 + 5*c**6/36 + 19*c**5/45 + 7*c**4/9 + 8*c**3/9 - 3*c**2. Let o(z) = 0. Calculate z.
-2, -1
Suppose 0 = -2*i + 3 + 1. Let g = 9739/5405 - 2/1081. Factor -g*n**3 + 2/5*n**i + 0*n + 0 + 7/5*n**4.
n**2*(n - 1)*(7*n - 2)/5
Let y(u) be the third derivative of -u**7/1260 + u**6/120 - 13*u**5/360 + u**4/12 - u**3/9 + 4*u**2. Suppose y(w) = 0. Calculate w.
1, 2
Let w(l) be the first derivative of l**7/63 - l**6/18 + l**5/20 + l**4/36 - l**3/18 + 4*l + 1. Let i(q) be the first derivative of w(q). Factor i(k).
k*(k - 1)**3*(2*k + 1)/3
Determine x so that -x**2 - x - 1/3 - 1/3*x**3 = 0.
-1
Suppose 0 = 3*m + 5*s - 37, -3*s - s = -20. Suppose 3*v - 3*y = v + 18, 28 = m*v - 4*y. Factor -1/2*z**2 + 0*z**v + 1/4*z**5 + 0 - 1/4*z + 1/2*z**4.
z*(z - 1)*(z + 1)**3/4
Let y(z) be the second derivative of -z**5/100 + 13*z**4/20 - 169*z**3/10 + 2197*z**2/10 - 15*z. Suppose y(x) = 0. Calculate x.
13
Let u be (-2)/(-1) + 26/(-13). Let t(x) be the third derivative of -1/60*x**5 + 0 + 0*x**3 + 2*x**2 + 1/12*x**4 + u*x. Determine p, given that t(p) = 0.
0, 2
Let v(s) be the second derivative of s**6/200 - 3*s**2/2 - s. Let q(h) be the first derivative of v(h). Determine m so that q(m) = 0.
0
Let k(y) be the third derivative of -5*y**7/21 + 3*y**6/4 - 4*y**5/5 + y**4/3 - 7*y**2. Factor k(u).
-2*u*(u - 1)*(5*u - 2)**2
Suppose -5*v + 0 + 10 = 0. Factor 0 + 0*j + j**3 + 1/3*j**5 + j**4 + 1/3*j**v.
j**2*(j + 1)**3/3
Let z(f) = -4*f**5 - 26*f**4 - 36*f**3 - 18*f**2 + 12*f + 12. Let s(a) = a**4 - a**3 - a**2 - a - 1. Let l(u) = 4*s(u) + z(u). Determine o, given that l(o) = 0.
-2, -1, 1/2
Suppose -5*m - a = 3, a = 4*a + 9. Let z(v) be the third derivative of 0*v - 2*v**2 + m + 0*v**4 + 0*v**3 - 1/180*v**6 + 0*v**5. Suppose z(g) = 0. Calculate g.
0
Let i(s) be the first derivative of 3*s**5/40 - s**4/16 - 2. What is g in i(g) = 0?
0, 2/3
Let g(t) = -t - 14. Let h be g(-11). Let o(d) = -4*d**2 + 2*d - 2. Let f(c) = 5*c**2 - 2*c + 3. Let s(q) = h*o(q) - 2*f(q). Solve s(b) = 0 for b.
0, 1
Let d(g) be the third derivative of -1/3*g**3 + 1/2*g**4 - 1/6*g**5 + 0*g + 0 - 5*g**2. Factor d(s).
-2*(s - 1)*(5*s - 1)
Suppose 2*d = 2*d - 3*d. Let z(i) be the second derivative of -1/15*i**5 - 3*i + 1/36*i**4 + 0 + 0*i**3 + d*i**2. Factor z(s).
-s**2*(4*s - 1)/3
Suppose -4*s + 4 = -4*o, 4*s + 5 = -s - 5*o. Let n be s + 4/(10 - 2). Suppose -1 + n*r**2 + 1/2*r = 0. What is r?
-2, 1
Let m(y) = -7*y**3 + 4*y**2 - 3*y + 3. Let o(d) = -15*d**3 + 8*d**2 - 7*d + 7. Let k(q) = 7*m(q) - 3*o(q). Solve k(t) = 0 for t.
0, 1
Let f = -209/5 + 43. Determine j so that 3/5*j**2 - 9/5*j + f = 0.
1, 2
Let m(h) be the second derivative of -h**5/70 - h**4/42 + 5*h**3/21 - 3*h**2/7 - 41*h. Factor m(s).
-2*(s - 1)**2*(s + 3)/7
Let i(b) be the first derivative of 2*b**3/3 + 25. Find j such that i(j) = 0.
0
Solve -3 - 4*o**2 + 60*o + 2*o**2 - 4*o**2 - 51*o = 0.
1/2, 1
Let v(o) be the first derivative of -o**3/9 - 4*o**2 - 48*o + 33. What is q in v(q) = 0?
-12
Let i = 1005/4 - 250. Factor -1/2*w - 1/4*w**3 + 0 + 1/2*w**4 - i*w**2.
w*(w - 2)*(w + 1)*(2*w + 1)/4
Let p(o) be the first derivative of -2*o**5/5 - o**4 + 12. Determine s, given that p(s) = 0.
-2, 0
Let s(f) be the second derivative of f**7/5040 + f**6/720 + f**5/240 + f**4/12 - 3*f. Let p(n) be the third derivative of s(n). Factor p(m).
(m + 1)**2/2
Let s(n) be the second derivative of 3/80*n**5 - n - 1/16*n**4 + 0*n**3 + 0*n**2 + 0. Let s(t) = 0. What is t?
0, 1
Let c = -509/5 - -102. Solve 1/5*x**5 + 4/5*x**2 - 2/5*x**4 + c*x - 2/5*x**3 - 2/5 = 0.
-1, 1, 2
Let 2/9*x**2 - 2/3*x**3 + 0 + 2/9*x**5 + 4/9*x - 2/9*x**4 = 0. What is x?
-1, 0, 1, 2
Let v(j) be the first derivative of j**2 - 1/60*j**4 + 0*j**3 - 1/300*j**5 + 1/600*j**6 - 2 + 0*j. Let f(z) be the second derivative of v(z). Factor f(c).
c*(c - 2)*(c + 1)/5
Let z(u) be the third derivative of u**6/780 + u**5/390 - u**4/156 - u**3/39 + 9*u**2. Solve z(t) = 0 for t.
-1, 1
Let k be (-9)/(-15)*7/(42/16). Factor -2/5*w**2 - k*w - 8/5.
-2*(w + 2)**2/5
Suppose 20*a = 27*a - 14. Determine b so that -8/3*b**3 + 0 - 2/3*b**a + 2*b**4 + 4/3*b = 0.
-2/3, 0, 1
Solve -4/3*g**3 - 2/3*g**2 + 2/3 + 1/3*g**5 + g + 0*g**4 = 0 for g.
-1, 1, 2
Let b(m) be the second derivative of m**4/42 + 2*m**3/21 + m**2/7 - 6*m. Factor b(t).
2*(t + 1)**2/7
Suppose 2*y - 7*y + 15 = 0. What is i in 3*i - y*i - 3*i**4 = 0?
0
Let k(v) be the second derivative of v**6/150 - v**4/15 - 6*v. Find t, given that k(t) = 0.
-2, 0, 2
Suppose 6 = 3*b - 0. Let n(z) = -z**4 - z**b + 2*z**2 + 3*z**4. Let g(t) = -3*t**4 - 2*t**2. Let a(m) = 6*g(m) + 10*n(m). Factor a(x).
2*x**2*(x - 1)*(x + 1)
Let q(f) = -f**3 - 5*f**2 + 7*f + 7. Let m be q(-6). Suppose -j + m = 4*l - 5, -l 