12*s**2 + 4*s**3 - x*s**4 = 0?
0, 1, 2
Let v(d) be the third derivative of d**8/70560 - d**6/2520 + d**5/30 - d**2. Let w(t) be the third derivative of v(t). Find g such that w(g) = 0.
-1, 1
Let j(v) be the second derivative of -2*v**6/5 + 7*v**5/5 - 5*v**4/3 + 2*v**3/3 + 16*v. Suppose j(d) = 0. Calculate d.
0, 1/3, 1
Let q be (-57)/(-21) - 4/(-14). Factor -6 + o + 4 - o**2 + q - o**3.
-(o - 1)*(o + 1)**2
Let u(f) be the third derivative of -f**5/90 - f**4/36 + 3*f**2. Factor u(x).
-2*x*(x + 1)/3
Suppose 0*y + 4*y = -z + 15, -2*y = -5*z + 9. Let i be (-4)/(-10)*30/21. Factor 0 + 18/7*o**z + 0*o + i*o**2 + 18/7*o**4.
2*o**2*(3*o + 1)*(3*o + 2)/7
Let f be 12/(-2)*1/(-9). Let p be (-2)/15*-5 - 0. What is h in 0 + p*h**2 - f*h = 0?
0, 1
Let a = 1 + 2. Suppose 0 = 2*o - 3*r + 13, 8*o - 20 = a*o - 3*r. Let g(y) = -y**2 - y + 1. Let i(c) = 6*c**2 + 4*c - 4. Let j(k) = o*i(k) + 4*g(k). Factor j(v).
2*v**2
Let p = -143 - -431/3. Factor -4/3*b**2 + 0 - p*b - 2/3*b**3.
-2*b*(b + 1)**2/3
Suppose -5 - 3 = -4*q. Solve 1/3*v**4 - 1/6*v**5 + 0*v**3 - 1/3*v**q + 0 + 1/6*v = 0.
-1, 0, 1
Let t(h) be the first derivative of h**5/20 - h**4/16 - h**3/12 + h**2/8 + 5. Solve t(l) = 0.
-1, 0, 1
Solve -3*u**2 - 3/2*u + 0 - 3/2*u**3 = 0 for u.
-1, 0
Factor -5*b**3 - 1/3*b**2 - 7/3*b**5 + 2/3*b + 0 - 19/3*b**4.
-b*(b + 1)**3*(7*b - 2)/3
Let n(w) = w**3. Let y(z) be the third derivative of -z**6/24 - z**5/4 - 7*z**4/8 - 3*z**3/2 + 7*z**2. Let p(a) = 2*n(a) + y(a). Factor p(j).
-3*(j + 1)**2*(j + 3)
Let u(v) be the third derivative of -v**6/40 + 3*v**4/8 + v**3 + 33*v**2. Find h such that u(h) = 0.
-1, 2
Let x(n) = -n - 5 + 7*n**2 + 2*n - 5*n**3 - 6*n + n**3. Let h(g) = -g**3 + g**2 - g - 1. Let q(t) = 10*h(t) - 2*x(t). Solve q(z) = 0 for z.
-2, 0
Let t be (7/35)/((-7)/(-70)). Let 3/2*k**t - 19/8*k + 1/2 = 0. What is k?
1/4, 4/3
Let g(i) be the second derivative of i**4/18 - 7*i**3/9 + 12*i. Suppose g(v) = 0. What is v?
0, 7
Let r(d) be the first derivative of 0*d**4 + 0*d**2 + 0*d**3 - 1 - 1/6*d**6 + 0*d - 1/5*d**5. Factor r(v).
-v**4*(v + 1)
Let g(c) be the first derivative of 2*c**5/45 - c**4/18 + 2. Factor g(n).
2*n**3*(n - 1)/9
Let a(o) be the first derivative of 21*o**5/25 - 57*o**4/20 + 3*o**3 - 3*o**2/10 - 6*o/5 + 6. What is r in a(r) = 0?
-2/7, 1
Let p(w) be the first derivative of 10/21*w**3 + 2/7*w**2 + 0*w + 1. Solve p(a) = 0 for a.
-2/5, 0
Let x(d) be the second derivative of d + 1/40*d**5 - 1/12*d**4 + 0 + 0*d**2 + 1/12*d**3. Factor x(o).
o*(o - 1)**2/2
Let y = -1154 + 5772/5. Find b such that 4/5*b - y - 2/5*b**2 = 0.
1
Let o be (24/9)/(8/12). Suppose r = 2*g + 6, 4*r + 0*r - o*g - 12 = 0. Suppose 2/5*y**2 + 0 + r*y = 0. Calculate y.
0
Solve -3 - 10*o + 4 - 6 - 5*o**2 = 0 for o.
-1
Factor 25*p**3 - 3*p - 24*p**3 + p**2 + p.
p*(p - 1)*(p + 2)
Let s = -12 + 2. Let l = 10 + s. Factor 2/7*c**5 + 0*c**2 + 0*c + 0*c**4 - 2/7*c**3 + l.
2*c**3*(c - 1)*(c + 1)/7
Let d(w) = -w**3 + 9*w**2 - 9*w + 10. Let b be d(8). Factor -b - 9*f**5 - 6*f**2 + 2 - 7*f**4 - 21*f**3 - 17*f**4.
-3*f**2*(f + 1)**2*(3*f + 2)
Let j(w) be the third derivative of -w**6/24 - 5*w**5/12 - 5*w**4/6 - 11*w**2. Determine p so that j(p) = 0.
-4, -1, 0
Let s = -1/498 - -1499/2490. Factor -6/5*l + 0 - 9/5*l**2 - s*l**3.
-3*l*(l + 1)*(l + 2)/5
Let r(c) = 2*c**2 - 3*c + 8. Let x(g) = g + 4*g + g - 5*g. Let u(t) = -t - 2. Let n be u(-1). Let b(w) = n*r(w) + 5*x(w). Factor b(f).
-2*(f - 2)**2
Let f(y) be the first derivative of -y**4/4 - 5*y**3 - 75*y**2/2 - 125*y - 11. Factor f(g).
-(g + 5)**3
Let y = 4 + 0. Suppose 24 = y*w - 4*l, -2*w = 5*l + 10 - 1. Solve 1/4*s**2 - 1/4*s - 1/4 + 1/4*s**w = 0.
-1, 1
Let 4*r**2 - 3*r**2 + 3*r**2 = 0. What is r?
0
Let s(r) be the third derivative of 0*r + 0 + r**2 + 1/12*r**3 + 1/24*r**4 + 1/120*r**5. Find x such that s(x) = 0.
-1
Let r be (2/(-4)*-3)/3. Let a(s) be the second derivative of -1/12*s**4 + 2*s - 1/3*s**3 + 0 - r*s**2. Factor a(n).
-(n + 1)**2
Let t(q) be the second derivative of 8*q**7/21 - 14*q**6/15 + 2*q**5/5 + q**4/3 - 7*q. Factor t(h).
4*h**2*(h - 1)**2*(4*h + 1)
Suppose 5*y + 3*l = 23, 2*y + 2*l - 10 = l. Solve 2 - 3 - 5*x**2 - 24*x - y - 5*x**2 = 0 for x.
-2, -2/5
Let k(p) be the first derivative of 21*p**4/22 - 40*p**3/33 - 3*p**2/11 + 4*p/11 + 20. Let k(w) = 0. Calculate w.
-1/3, 2/7, 1
What is b in 1/6*b - 1/6*b**3 + 0 - 1/6*b**2 + 1/6*b**4 = 0?
-1, 0, 1
Let w be 3 - 2/3*-3. Let q(v) be the third derivative of -1/240*v**6 + 0*v**4 + 1/240*v**w - v**2 + 0*v + 0 + 0*v**3 + 1/840*v**7. Let q(x) = 0. What is x?
0, 1
Let 104/3*b + 16/3 + 50*b**3 + 220/3*b**2 = 0. What is b?
-2/3, -2/5
Let r(m) be the third derivative of m**9/30240 + m**8/10080 - m**7/2520 - m**6/360 - m**5/15 + 3*m**2. Let v(w) be the third derivative of r(w). Factor v(f).
2*(f - 1)*(f + 1)**2
Let h = 3 + 3. Suppose -s + h - 4 = 0. Factor -1/4 - 1/4*v**4 + 0*v + 0*v**3 + 1/2*v**s.
-(v - 1)**2*(v + 1)**2/4
Let i(c) be the first derivative of -5*c**6/12 + c**5/2 + 5*c**4/8 - 5*c**3/6 + 4. Factor i(t).
-5*t**2*(t - 1)**2*(t + 1)/2
Let z be (-9)/(-21) + (-24)/56. What is k in -45/2*k**3 + z*k**2 + 25/2*k + 7*k**4 + 3 = 0?
-1/2, -2/7, 1, 3
Let k(y) be the second derivative of -y**5/20 - y**4/6 + y**3/2 + y**2 + y. Let o be k(-3). Factor g**2 - 2*g**2 - 2*g**o + g**2 - 3*g**3.
-g**2*(3*g + 2)
Let q(f) be the third derivative of f**6/140 - 11*f**5/70 + 19*f**4/28 - 9*f**3/7 - f**2 + 2. Solve q(p) = 0.
1, 9
Let u(k) be the first derivative of -k**5/25 - 3*k**4/20 + 2*k**3/15 + 6*k**2/5 + 8*k/5 + 23. Solve u(r) = 0 for r.
-2, -1, 2
Let -28*q + 3*q**2 + 30*q + 3 - 4*q**2 = 0. Calculate q.
-1, 3
Let b(w) be the second derivative of 2/33*w**3 + 5*w - 1/11*w**2 + 0 - 1/66*w**4. Determine t so that b(t) = 0.
1
Let h(i) = i**3 - 2*i**2 + i - 10. Let l be h(3). Let s(y) be the first derivative of 4 + 1/6*y**3 + 1/2*y + 1/2*y**l. Let s(u) = 0. Calculate u.
-1
Find k, given that -k + 2/3 - 5/3*k**2 = 0.
-1, 2/5
Let n = -22 - -21. Let p be n/(-3)*9*1. Find u, given that -4/7*u - 2/7*u**2 + 0 + 2/7*u**p = 0.
-1, 0, 2
Solve -4/3*g**5 + 0 - 7/3*g**4 + 2*g**3 - 2/3*g + 7/3*g**2 = 0 for g.
-2, -1, 0, 1/4, 1
Factor 43*z**2 - 10*z**2 + 3*z + 1 - 7 - 27 - 3*z**3.
-3*(z - 11)*(z - 1)*(z + 1)
Let x(c) = c**2 + 9*c - 1. Let f be x(-9). Let a be 1*f*(-8)/4. Let 2*t**3 - a*t**2 + 4 - 4 + 6 - 4 - 2*t = 0. Calculate t.
-1, 1
Let y(d) be the second derivative of -32*d**4/33 + 16*d**3/33 - d**2/11 - 22*d. Factor y(x).
-2*(8*x - 1)**2/11
Let g(q) = 3*q + 11. Let f(z) = -5*z - 21. Let v(r) = 4*f(r) + 7*g(r). Let d be v(9). Factor 2/3*c**2 - d*c**3 + 16/3*c + 8/3.
-2*(c - 2)*(c + 1)*(3*c + 2)/3
Let m(b) be the third derivative of b**8/5040 + b**7/2520 - b**6/1080 - b**5/360 + 5*b**3/6 - 2*b**2. Let q(x) be the first derivative of m(x). Factor q(r).
r*(r - 1)*(r + 1)**2/3
Let t(j) be the second derivative of -j**6/10 + 9*j**5/10 + 11*j**4/4 - 30*j**3 - 150*j**2 + 45*j. Factor t(f).
-3*(f - 5)**2*(f + 2)**2
Let w(t) = -t**2 - 5*t. Let m be w(-5). Let b(i) be the second derivative of 1/30*i**5 + 1/6*i**2 + m*i**4 - 1/9*i**3 - 1/90*i**6 + 0 + 2*i. Factor b(c).
-(c - 1)**3*(c + 1)/3
Let z(t) be the second derivative of t**7/525 - t**6/150 + t**5/150 - 5*t**2/2 - 5*t. Let d(j) be the first derivative of z(j). Factor d(x).
2*x**2*(x - 1)**2/5
Let g(q) = -45*q**5 + 84*q**4 - 25*q**3 - 10*q**2 - 4*q - 4. Let h(p) = p**4 - p - 1. Let s(o) = -g(o) + 4*h(o). Determine x so that s(x) = 0.
-2/9, 0, 1
Let l(h) be the third derivative of -h**8/756 + 2*h**7/945 + h**6/90 - h**5/135 - h**4/27 + 5*h**2. Let l(r) = 0. What is r?
-1, 0, 1, 2
Let i(p) be the second derivative of p + 1/30*p**6 + 0 + 0*p**3 + 0*p**4 + 0*p**5 + 0*p**2. Factor i(a).
a**4
Let y(t) be the second derivative of -t**6/10 + 3*t**5/16 - t**4/16 + t. Factor y(n).
-3*n**2*(n - 1)*(4*n - 1)/4
Let i(g) be the third derivative of 5*g**6/204 - 2*g**5/17 + 7*g**4/68 - 2*g**3/51 - 29*g**2. Factor i(v).
2*(v - 2)*(5*v - 1)**2/17
Find w, given that 5/4*w**2 + 5/2 + 15/4*w = 0.
-2, -1
Factor -24/7*l - 3/7*l**2 - 48/7.
-3*(l + 4)**2/7
Let j(m) = m**2 + 2*m + 5. Let c(z) = z**2 + 2*z + 4. Let y(a) = 5*c(a) - 4*j(a). Find x, given that y(x) = 0.
-2, 0
Suppose 3*h + 9 - 1 = 5*o, -3*h = 5*o - 32. Let c be (-299)/(-156) - 1/o. Let -2/3 + 1/3*w**4 - c*w - w**2 + 1/3*w**3 = 0. What is