5 - d**6/60 - d**5/30 + d**4/4 - 3*d. Let s(i) be the third derivative of u(i). Factor s(q).
4*(q - 1)*(4*q + 1)
Let l(x) = -8*x**5 + 3*x**4 + x**3 + 3*x**2 + x. Let v(f) = 2 + 0 - f**2 + f**5 - 2. Let s(q) = l(q) + 6*v(q). What is h in s(h) = 0?
-1, 0, 1/2, 1
Let f(q) be the third derivative of -5*q**8/336 + q**7/7 - q**6/3 - q**5/6 + 15*q**4/8 - 10*q**3/3 - 40*q**2. Solve f(h) = 0 for h.
-1, 1, 4
Suppose 2*x = 5*m + 3*x - 11, 5*x = -4*m + 13. Determine y, given that -m*y**2 + y**2 - y**2 - 6*y - y**2 = 0.
-2, 0
Let y(k) = -4*k - 1. Let w be y(-1). Let j(n) = 2*n - 3. Let t be j(w). Factor 3*d**2 - d + d**2 - d**t - 3*d.
-d*(d - 2)**2
Let k = 7 - 5. Suppose k*w + 3*w = 15. Factor -1/5 - 3/5*u**2 - 1/5*u**w - 3/5*u.
-(u + 1)**3/5
Let u(w) be the third derivative of -w**6/420 + w**4/28 + 2*w**3/21 - 10*w**2. Determine i, given that u(i) = 0.
-1, 2
Factor -18/13*z**4 + 16/13*z - 56/13*z**2 - 68/13*z**3 + 0.
-2*z*(z + 2)**2*(9*z - 2)/13
Let m(s) = s**2 + s - 1. Let y(q) = 5*q**3 + 11*q**2 + 6*q + 4. Let j(v) = -4*m(v) - y(v). Find k such that j(k) = 0.
-2, -1, 0
Suppose 0 - 40/9*w**4 + 2/9*w - 20/9*w**2 + 58/9*w**3 = 0. Calculate w.
0, 1/5, 1/4, 1
Let g(c) = 0 + c + 13 - 3. Let x be g(-7). Suppose -o**x + 2*o**3 - o**2 - 2*o**3 = 0. Calculate o.
-1, 0
Let v(w) = 3*w**2 + 19*w - 8. Let r be v(-7). Suppose r*c + 2*c**3 - 1/4*c**4 - 11/2*c**2 - 9/4 = 0. What is c?
1, 3
Let p = 73/30 + -7/3. Let r(u) be the first derivative of 0*u**3 + 0*u**4 - p*u**5 + 0*u**2 + 1 - 1/12*u**6 + 0*u. Factor r(a).
-a**4*(a + 1)/2
Suppose 0*r = r + 3*h + 10, 2*r = 2*h + 12. Factor 4*g**2 + 0*g**r + 2*g - 2*g**3 - 4*g**2.
-2*g*(g - 1)*(g + 1)
Factor -4/9*w + 0*w**3 + 2/3*w**2 + 0 - 2/9*w**4.
-2*w*(w - 1)**2*(w + 2)/9
Suppose 3*q + 3*v - 16 = -q, -4*q - 2*v + 16 = 0. Let p be 2/q*(5 - -5). Let -1/4*i**p + 1/2*i**4 - 1/2*i**2 + 0 + 1/4*i + 0*i**3 = 0. What is i?
-1, 0, 1
Let p(m) be the third derivative of -m**7/735 + 3*m**6/140 - 2*m**5/15 + 3*m**4/7 - 16*m**3/21 - 10*m**2. Determine y, given that p(y) = 0.
1, 2, 4
Solve 2/9*z**2 + 8/9 - 10/9*z = 0.
1, 4
Factor 4 + 11*p**3 + 8*p**3 + 44*p**2 - 5*p**3 + 27*p + 7*p.
2*(p + 1)*(p + 2)*(7*p + 1)
Suppose -4*s + 10 = -2. Let -s*m**2 + m - 5*m - 2*m - 3*m = 0. Calculate m.
-3, 0
Let v(k) be the third derivative of k**6/180 - k**5/45 + k**4/36 - 8*k**2. Determine o, given that v(o) = 0.
0, 1
Let m(s) be the third derivative of s**7/280 + s**6/120 - s**5/40 - s**4/24 - 3*s**2. Let t(v) be the second derivative of m(v). Let t(j) = 0. Calculate j.
-1, 1/3
Suppose 2*n - 4 = 2. Let j**3 - 6*j**2 + 5*j**2 + 0*j**n = 0. What is j?
0, 1
Let o(z) be the second derivative of z**7/8820 + z**6/1260 + z**5/420 - 3*z**4/4 - z. Let a(n) be the third derivative of o(n). Factor a(j).
2*(j + 1)**2/7
Let k = 1714 + -246815/144. Let v(s) be the third derivative of 0*s + k*s**4 + 0 + 1/360*s**5 - 1/18*s**3 - 3*s**2. Factor v(j).
(j - 1)*(j + 2)/6
Find i, given that 0*i + 0*i**3 + 0 + 0*i**2 + 2/5*i**4 = 0.
0
Let v = 419/2 - 208. Factor 0*d + 3/2*d**3 - v*d**5 + 3/2*d**4 + 0 - 3/2*d**2.
-3*d**2*(d - 1)**2*(d + 1)/2
Factor 15/7*b - 15/7*b**4 - 30/7*b**2 - 3/7 + 30/7*b**3 + 3/7*b**5.
3*(b - 1)**5/7
Let l(g) be the third derivative of g**8/672 - g**7/210 - g**6/120 + g**5/30 + g**4/48 - g**3/6 - 7*g**2. Determine j so that l(j) = 0.
-1, 1, 2
Let s(d) = -8*d + 1 - 1 + 5*d. Let z be s(-1). Factor 0 + 0*v - 2/3*v**z - 2/3*v**2.
-2*v**2*(v + 1)/3
Let b(q) be the second derivative of -6*q**6/5 + 24*q**5/5 - 22*q**4/3 + 16*q**3/3 - 2*q**2 + 2*q. Factor b(v).
-4*(v - 1)**2*(3*v - 1)**2
Suppose 45 = -5*h + 5*j, 0 = -0*h - 3*h - 2*j - 7. Let y = h + 9. Factor 0 - 1/3*s + 1/3*s**y + s**2 - s**3.
s*(s - 1)**3/3
Let h(u) = -u**2 - 7*u + 4. Suppose -4*j - 24 = -0*f + f, -2*f = 4*j + 20. Let w be h(j). Find t such that 5*t**4 - 2*t**3 - 3*t**w + t**3 - t**5 = 0.
0, 1
Suppose -9*j + 7*j = -6. Let d(t) be the first derivative of -2/3*t + 1/2*t**4 + 5/3*t**2 + 2 - 14/9*t**j. Factor d(v).
2*(v - 1)**2*(3*v - 1)/3
Let x(m) be the third derivative of m**6/320 - m**5/160 + 16*m**2. Factor x(c).
3*c**2*(c - 1)/8
Let z(l) be the third derivative of 0*l**6 + 0*l**4 + 0 + 0*l**5 + 0*l**3 + 0*l - l**2 + 1/525*l**7. Determine w so that z(w) = 0.
0
Solve -1/2 + 19/4*m + 5/2*m**2 = 0.
-2, 1/10
Let r(j) be the first derivative of -4/13*j**2 - 6 - 8/13*j - 2/39*j**3. Factor r(i).
-2*(i + 2)**2/13
Factor -2*k**2 + k - 5*k**2 + 8*k**2 - 1 - k**3.
-(k - 1)**2*(k + 1)
Factor 10*a + 0*a**3 + 2*a**3 - 16*a - 8*a**2 - 4*a**3.
-2*a*(a + 1)*(a + 3)
Suppose 3*o - 6 = o. Factor 4*m**4 + 7*m**4 + 3*m**o - 14*m**4.
-3*m**3*(m - 1)
Let w(r) be the third derivative of -r**7/280 - r**6/160 + 3*r**5/80 + 5*r**4/32 + r**3/4 - 16*r**2. Determine y, given that w(y) = 0.
-1, 2
Let b(t) = -5*t**3 + t**2 + t - 1. Let n be b(-1). Factor 4/5*q**5 + 1/5 - 9/5*q**n + 8/5*q**2 - 6/5*q + 2/5*q**3.
(q - 1)**3*(q + 1)*(4*q - 1)/5
Let t(i) = i**3 + 1. Let k = -2 + -3. Let b(g) = -4*g**3 - g - 5. Let l(u) = k*t(u) - b(u). Suppose l(a) = 0. Calculate a.
-1, 0, 1
Let z be (4/(-16)*2)/(-3 + 2). Find r such that 1/2*r**2 - z + 1/2*r**3 - 1/2*r = 0.
-1, 1
Find n, given that -5/3*n**2 + 5/6*n**3 + 5/3 - 5/6*n = 0.
-1, 1, 2
Suppose -2*w - 3 = -5. Let f = w - -1. Determine c so that c**2 + 3 - 2*c**2 + 0*c**f - 2 = 0.
-1, 1
Let a(g) be the third derivative of 4*g**2 + 0*g - 3/70*g**7 + 0 + 1/4*g**4 + 0*g**3 + 1/20*g**5 - 1/10*g**6. Factor a(y).
-3*y*(y + 1)**2*(3*y - 2)
What is p in 16 + 2*p**4 + 24*p**2 - 47*p + 7*p - 14*p**3 + 12*p**2 = 0?
1, 2
Suppose 8*s - 36 = -4. What is t in 0*t**3 - 1/2*t**s + 1/2*t**2 - 1/4*t**5 + 0 + 1/4*t = 0?
-1, 0, 1
Let q be (-5)/(-20) - 30/(-8). Determine c so that -7/2*c**2 + 5/2*c**q + 1 - 3/2*c + 3/2*c**3 = 0.
-1, 2/5, 1
Factor 0*s**2 - 4/11*s - 2/11 + 4/11*s**3 + 2/11*s**4.
2*(s - 1)*(s + 1)**3/11
Let v = -4 - -9. Factor 2*y**4 + 2*y**v + 3*y - y**5 - 6*y**2 + 4*y**4 - 4*y**5.
-3*y*(y - 1)**3*(y + 1)
Let r(w) be the second derivative of -w**6/120 + w**5/80 - 10*w. What is m in r(m) = 0?
0, 1
Let m(i) be the second derivative of -3/40*i**5 - 3*i + 1/6*i**4 + 0 - 1/2*i**2 + 1/12*i**3. Factor m(s).
-(s - 1)**2*(3*s + 2)/2
Let o(g) be the second derivative of -g**4/36 + g**3/6 - g**2/3 - 3*g. Factor o(t).
-(t - 2)*(t - 1)/3
Let g(a) be the first derivative of -a**2 + 2/3*a**3 + 0*a - 1. Determine x, given that g(x) = 0.
0, 1
Let j(r) be the second derivative of -5*r + 0*r**2 + 0*r**5 + 0*r**4 + 0*r**3 - 1/150*r**6 + 0. Factor j(o).
-o**4/5
Let s(j) be the third derivative of -j**8/1680 - j**7/840 + j**6/360 + j**5/120 + j**3/3 - 3*j**2. Let o(k) be the first derivative of s(k). Factor o(w).
-w*(w - 1)*(w + 1)**2
Let r(a) be the third derivative of 2*a**7/315 + a**6/120 - a**5/180 + 6*a**2. Suppose r(j) = 0. What is j?
-1, 0, 1/4
Let n = 5 - 3. Let k be (-3)/(-3*n) - 0. Factor k*d**2 + 1/2*d + 0.
d*(d + 1)/2
Let d(w) be the first derivative of -w**8/1680 + w**6/360 - w**3/3 + 3. Let t(h) be the third derivative of d(h). Factor t(y).
-y**2*(y - 1)*(y + 1)
Let p = -9 - -15. Let a(f) = -f**3 + 7*f**2 - 4*f - 8. Let l be a(p). Suppose 3*z**4 + z + z**4 + z**2 - 5*z**l - z**3 = 0. What is z?
-1, 0, 1
Determine k, given that -3 + 3*k**2 - 15*k - 4 + 25 = 0.
2, 3
Let h(v) be the first derivative of -v**4/18 + 2*v**3/9 - 2*v**2/9 + 2. Factor h(b).
-2*b*(b - 2)*(b - 1)/9
Factor -6 + 196*t**2 - 36*t - 211*t**2 - 6.
-3*(t + 2)*(5*t + 2)
Determine a, given that -4 - 3*a + a**3 + 5*a**3 + 4 + 3*a**2 = 0.
-1, 0, 1/2
Suppose -4*n + 14 = -2*v, -2*v + 4*v + 4 = 2*n. Factor -2/7 - 4/7*h**v - 4/7*h**2 + 6/7*h + 6/7*h**4 - 2/7*h**5.
-2*(h - 1)**4*(h + 1)/7
Let g = -12 - -15. Factor g*w**2 - 5*w**2 + 0*w**2 + w**3.
w**2*(w - 2)
Let q be 0 - 40/25 - 2*-1. Let z be (-2)/(-3) - (-4)/(-15). Factor z*k**2 - 4/5 - q*k.
2*(k - 2)*(k + 1)/5
Let q(b) = -b**3 + b**2 - b - 1. Let j(z) = -z**4 - 3*z**2 - 4*z**3 - 2*z + 2*z**2 - 2 + 2*z**2. Let o(a) = -2*j(a) + 4*q(a). Factor o(x).
2*x**2*(x + 1)**2
Find w, given that -2*w**4 - 2*w**5 - 7*w**2 - 3*w**3 + 9*w**3 - 4*w**3 + 9*w**2 = 0.
-1, 0, 1
Suppose -5*m + 26 = -4*c + 1, 0 = 2*m - 5*c - 10. Suppose -a = 4*o - 12, m*o + 0*a - a = 24. Solve -2*h**3 - 10*h - 6*h**2 - o + 2*h**2 - h**2 - 3*h**2 = 0.
-2, -1
Let h(p) = -21*p**2 + 422*p - 3989. Let x(n) = 11*n**2 - 212*n + 1994.