**2 + 2*s**2 + 4*s = 0.
-3, 0, 1
Let o(j) = -j**3 + 11*j**2 + 12*j + 9. Let l be o(12). Let q be 3/45*(l + -6). Solve 0 - 2/5*d + q*d**2 = 0 for d.
0, 2
Let -m - 1/5 - 3/5*m**3 - 7/5*m**2 = 0. What is m?
-1, -1/3
Let a(u) = -29*u**4 + 75*u**3 + 20*u**2 - 108*u - 22. Let q(j) = 465*j**4 - 1200*j**3 - 321*j**2 + 1728*j + 351. Let r(p) = -33*a(p) - 2*q(p). Factor r(f).
3*(f - 2)**2*(f + 1)*(9*f + 2)
Suppose 4 = -x - x. Let p be ((-4)/7)/(x/7). Factor -p*i + 3*i - 2*i**2 + 3*i**2.
i*(i + 1)
Let a(b) = 30*b**4 + 123*b**3 + 177*b**2 + 57*b + 9. Let k(n) = 15*n**4 + 62*n**3 + 88*n**2 + 28*n + 4. Let p(i) = -4*a(i) + 9*k(i). Factor p(q).
3*q*(q + 2)**2*(5*q + 2)
Let q(f) be the third derivative of 0*f**3 + 4/15*f**5 + 1/3*f**4 + 0 + 0*f - 4*f**2 - 1/12*f**6. Suppose q(r) = 0. Calculate r.
-2/5, 0, 2
Let w(s) = s**2 + 9*s - 8. Let a be w(-10). Let t = -5 - -7. Solve 1 - o**t - a*o + 3 - 5 = 0.
-1
Let y be (-63)/(-20) + -18 + 15. Let x(k) be the third derivative of 0*k**3 + 1/40*k**6 - k**2 + 0*k + 0 - y*k**5 + 1/4*k**4. Factor x(i).
3*i*(i - 2)*(i - 1)
Let i(q) be the first derivative of q**4/2 - 2*q**3 + 3*q**2 - 2*q + 6. Factor i(p).
2*(p - 1)**3
Let h(f) = -15*f + 2. Let a be h(-2). Find i such that -a*i**3 - 24*i**2 - 2*i**5 + 24*i**5 + 14*i**5 - 4*i + 24*i**4 = 0.
-1, -1/3, 0, 1
Factor a - 2*a**3 + 4*a**3 - 2*a**2 - a**3.
a*(a - 1)**2
Let n(z) be the first derivative of -10/27*z**3 + 0*z + 2 + 2/9*z**4 - 2/45*z**5 + 2/9*z**2. Find h, given that n(h) = 0.
0, 1, 2
Factor 4*w**3 - 21 + 49 - 13 + 35*w + w**3 + 25*w**2.
5*(w + 1)**2*(w + 3)
Let y = -8 - -12. Let p be (-50)/(-18) - y/(-18). Factor 5*v**p - v**3 - 3*v**3 - v - 1 + v**2.
(v - 1)*(v + 1)**2
Suppose -4 = 4*o, -3*j - 5*o = j - 3. Suppose -3 = -j*n + 7, 17 = h + 3*n. Suppose -2/5 - 2/5*k**h - 4/5*k = 0. Calculate k.
-1
What is a in 28/5*a - 98/5 - 2/5*a**2 = 0?
7
Let o(c) = -5*c**5 + 31*c**3 + 10*c**2 - 4*c - 21. Let g(u) = u**5 - 6*u**3 - 2*u**2 + u + 4. Let b(i) = 11*g(i) + 2*o(i). Factor b(q).
(q - 2)*(q - 1)*(q + 1)**3
Let z(k) be the second derivative of -k**5/20 - k**4/3 + k**3 + 7*k**2/2 + k. Let v be z(-5). Solve -2*c**2 + 4*c + 3*c**v - 3*c = 0 for c.
-1, 0
Suppose 0 = -5*b + 5 + 5. Let t(r) be the first derivative of -r**b - 1/3*r**3 - 2 - r. Solve t(v) = 0.
-1
Let q(w) = 15*w**5 - 24*w**4 - 6*w**3 - 24*w**2 - 9*w + 24. Let m(r) = -3*r**5 + 5*r**4 + r**3 + 5*r**2 + 2*r - 5. Let f(j) = -24*m(j) - 5*q(j). Factor f(g).
-3*g*(g - 1)**2*(g + 1)**2
Let w = -11 + 14. Factor 3*u**4 - 49 - 3*u**w + 49.
3*u**3*(u - 1)
Let p(a) be the second derivative of 0*a**2 + 0*a**4 - 1/70*a**7 + 0*a**3 - 3*a + 0 - 3/100*a**5 + 1/25*a**6. Solve p(w) = 0.
0, 1
Let m(y) be the second derivative of y**6/30 - y**5/5 + 8*y**3/3 - 5*y**2/2 - 6*y. Let t(b) be the first derivative of m(b). Let t(z) = 0. What is z?
-1, 2
Let x(z) = -4*z**3 + 12*z**2 - 8*z - 9. Let l(t) = t**3 - 3*t**2 + 2*t + 2. Let a(m) = 9*l(m) + 2*x(m). Factor a(s).
s*(s - 2)*(s - 1)
Suppose x = -x + 4. Factor -x*g**2 + g**5 - 2*g**3 + 2*g**2 + g.
g*(g - 1)**2*(g + 1)**2
Let y(p) be the first derivative of -5/12*p**3 + 4 + 1/8*p**2 - 1/16*p**4 + 1/2*p + 3/20*p**5. Find w, given that y(w) = 0.
-1, -2/3, 1
Find q, given that 54/17*q**5 + 72/17*q**3 + 0 - 20/17*q**2 - 108/17*q**4 + 2/17*q = 0.
0, 1/3, 1
Let a(k) = -k + 2. Let q be a(-1). Let y(s) be the first derivative of 1/9*s**q + 0*s**2 + 0*s**4 + 1 + 0*s - 1/15*s**5. Solve y(h) = 0 for h.
-1, 0, 1
Let j(f) = -f**4 - 4*f**3 - 15*f**2 - 23*f - 5. Let u(k) = -k**3 - k**2 + k - 1. Let x(l) = -2*j(l) - 6*u(l). Solve x(b) = 0 for b.
-2, -1
Factor -144*q + 54 - 3/2*q**5 + 219/2*q**2 - 9/2*q**3 - 27/2*q**4.
-3*(q - 1)**3*(q + 6)**2/2
Suppose -3*k + 21 + 0 = 0. Let c(w) = 2*w**2 + 5*w - 11. Let x(t) = t**2 + 2*t - 5. Let f(g) = k*x(g) - 3*c(g). Factor f(j).
(j - 2)*(j + 1)
Let u(o) be the third derivative of o**5/135 - o**4/12 + 4*o**3/27 + o**2 + 12*o. Solve u(g) = 0 for g.
1/2, 4
Let i(h) be the first derivative of 3*h**4/5 - 3*h**3/5 - 27*h**2/10 - 6*h/5 + 5. Let i(j) = 0. What is j?
-1, -1/4, 2
Suppose -3*w + k + 7 = 0, 4*w + 2*k - 15 = 1. Let w - 2*o**4 - 3 - 3*o**2 - 3*o**2 + 6*o**3 + 2*o = 0. Calculate o.
0, 1
Let z = -19 - -23. Factor 0*h**2 - 2/5*h**z + 0*h**3 + 0 + 0*h.
-2*h**4/5
Let u(o) be the second derivative of 112*o**6/225 + 68*o**5/75 + o**4/6 - 11*o**3/45 - 2*o**2/15 + 3*o. Suppose u(t) = 0. What is t?
-1, -1/4, 2/7
Let f(s) = -2*s**2 - 4*s - 2*s - 3 + 2. Let v(u) = 4*u - 18*u - 5*u**2 + u - 3. Let k(t) = -7*f(t) + 3*v(t). Factor k(z).
-(z - 2)*(z - 1)
Let j(g) be the third derivative of 0 + 2*g**2 + 1/120*g**5 + 3/4*g**3 - 1/8*g**4 + 0*g. Determine o, given that j(o) = 0.
3
Let h(w) be the first derivative of -w**5/90 - w**4/18 - w**3/9 - w**2 - 2. Let b(u) be the second derivative of h(u). Find o, given that b(o) = 0.
-1
Let z be 6/3 + (-4)/1. Let p be z - (12/(-3) - 0). Factor o + o - 2*o**p - 4*o.
-2*o*(o + 1)
Let h be (0/(-1))/((-9)/3). Let f(x) be the third derivative of 3*x**2 + 0*x**4 - 1/60*x**6 + h*x - 1/30*x**5 + 0 + 0*x**3. Factor f(i).
-2*i**2*(i + 1)
Let s(w) be the third derivative of w**6/24 + w**5/12 - 19*w**2. Factor s(t).
5*t**2*(t + 1)
Let f(g) be the third derivative of 1/945*g**7 + 1/540*g**6 + 0 - 2*g**2 + 0*g - 5/108*g**4 - 2/27*g**3 - 1/90*g**5. Let f(v) = 0. What is v?
-1, 2
Suppose -18*w = -14 - 22. Factor 21/2*r**4 + 81/2*r**w + 3 + 39/2*r + 69/2*r**3.
3*(r + 1)**3*(7*r + 2)/2
Let j(k) = k**2 - 7*k - 1. Let i be j(8). Find s such that i*s**2 - 2*s - 6*s**2 - 1 + 2*s = 0.
-1, 1
Let c = 26 + -12. Let r be 1/c - (-6)/14. Factor 1 + r*p - 1/2*p**2.
-(p - 2)*(p + 1)/2
Suppose 12 + 12 = -4*w. Let b be 2*(3/w - -2). Determine q so that -2/9*q**b + 2/9*q + 0 + 0*q**2 = 0.
-1, 0, 1
Suppose 0 = 2*r + 3*r - 10. Let n be r/(-8) - (-15)/12. Factor v**3 - n - 2 + 3 - 2*v**4 + v**5.
v**3*(v - 1)**2
Let k(g) = 7*g**2 + 9*g. Let w(c) = 4*c**2 + 5*c. Let f(p) = -3*k(p) + 5*w(p). Factor f(l).
-l*(l + 2)
Let i be 48/180*1/4. Let l(r) be the second derivative of 0*r**5 - 2*r + 0*r**2 + i*r**6 + 0*r**3 + 0 + 0*r**4. Solve l(c) = 0.
0
Let b(r) be the third derivative of r**2 - 1/150*r**5 + 1/30*r**4 + 0*r + 0 - 1/15*r**3. Determine t so that b(t) = 0.
1
Let t(r) be the first derivative of -4*r**5/5 - 2*r**4 + 4*r**3/3 + 4*r**2 + 6. Factor t(m).
-4*m*(m - 1)*(m + 1)*(m + 2)
Factor 0 + 28*b**2 - 32/3*b**3 + 4/3*b**4 - 24*b.
4*b*(b - 3)**2*(b - 2)/3
Let y(l) = l**3 - 10*l**2 + 6*l + 27. Let k be y(9). Factor -2/7*q**5 + 4/7*q**3 - 2/7*q + 0*q**2 + 0*q**4 + k.
-2*q*(q - 1)**2*(q + 1)**2/7
Let x(t) be the second derivative of 2*t + 0 + 1/66*t**4 + 0*t**2 + 1/33*t**3. Solve x(v) = 0.
-1, 0
Let f be 8/(-12)*-6 + -2. Suppose -q**4 + 9 - 4*q + 5*q**3 - 1 - 6*q**f + 0*q**2 = 0. What is q?
-1, 2
Suppose 0 = 4*k + 13 - 5. Let q be k/(-6) - 248/(-264). Factor 24/11*r**2 - q*r**3 - 6/11*r - 4/11.
-2*(r - 1)**2*(7*r + 2)/11
Let k = -1 - -3. Let m be (-4*k + 1)/(-1). Find v, given that -m*v + 6*v**3 - 2*v**3 + 3*v - 2 + 2*v**4 = 0.
-1, 1
Suppose 5*t + 20 = 0, 4*t + 26 = 2*a + 4. Let y(f) = -f**3 - f**2. Let h(u) = -u**2 + u + 2. Let x(s) = a*y(s) + h(s). Let x(j) = 0. Calculate j.
-1, 2/3
Let w(k) be the second derivative of k**7/5460 - k**6/2340 - k**3/2 - 4*k. Let s(d) be the second derivative of w(d). Factor s(t).
2*t**2*(t - 1)/13
What is d in -70*d**3 - 3*d**5 - 6*d - 9*d**2 + 6*d**2 + 79*d**3 + 3*d**4 = 0?
-1, 0, 1, 2
Let i(n) be the third derivative of -5/96*n**4 + 2*n**2 + 0*n + 1/12*n**3 - 1/480*n**6 + 0 + 1/60*n**5. Factor i(c).
-(c - 2)*(c - 1)**2/4
Let z be 2 - ((-24)/(-4))/3. Let c(l) be the third derivative of -1/15*l**6 - 1/10*l**5 + 0*l**3 + 1/12*l**4 + z + 0*l - l**2. Factor c(m).
-2*m*(m + 1)*(4*m - 1)
Let b(n) be the first derivative of 3*n**4/11 + 2*n**3/11 - 18*n**2/11 - 64. Solve b(y) = 0.
-2, 0, 3/2
Let s = 0 - -22. Factor 2*v + 22 - s - 2*v**2.
-2*v*(v - 1)
Let d(p) = 17*p**3 - 3 - 19*p**3 + 12*p - 1 + 12*p**2. Let i(n) = 3*n**3 - 23*n**2 - 23*n + 7. Let c(y) = -7*d(y) - 4*i(y). Factor c(q).
2*q*(q + 2)**2
Suppose -4*i + 1 = -n - 2, -3*n = -2*i - 11. Let y be (-35)/(-11) - i/11. Factor 6*u - 11 - y*u**2 + 11 - 3*u**3.
-3*u*(u - 1)*(u + 2)
Let s(i) = i. Let t be s(0). Let b be 1 + 1 + 2 + t. Find z such that z - 2*z + 0*z**4 - 3*z**3 - z**b - 3*z**2 = 0.
-1, 0
Find d