 Let f(m) = m**4 + 2*m**3 + m**2. Let p(k) = 5*f(k) + 4*z(k). What is s in p(s) = 0?
-1, 0
Let g(c) be the third derivative of c**7/105 - c**6/210 - c**5/30 + c**4/42 - 21*c**2. Determine k, given that g(k) = 0.
-1, 0, 2/7, 1
Let r(m) = m**3 - 8*m**2 + m - 6. Let z be r(8). Suppose -z*u + 12 = u. Factor 40/3*x**3 - 16/3*x**u + 10/3*x - 11*x**2 - 1/3.
-(x - 1)**2*(4*x - 1)**2/3
Let n(v) be the first derivative of 32/5*v - 16/15*v**3 + 0*v**2 + 0*v**4 + 5 + 2/25*v**5. Solve n(a) = 0.
-2, 2
Let c be (-1037)/(-244) + 1/(-4). Let 2/3*t**2 + 23/3*t**c - 4*t**5 + 0*t + 0 - 13/3*t**3 = 0. Calculate t.
0, 1/4, 2/3, 1
Let k(d) be the first derivative of 1 + 0*d**3 + 1/24*d**4 + 0*d + 3/2*d**2 - 1/60*d**5. Let l(g) be the second derivative of k(g). Let l(b) = 0. Calculate b.
0, 1
Let l(m) be the second derivative of -2*m**6/135 + m**5/90 + m**4/6 - 4*m**3/27 - 4*m**2/9 + m + 4. Suppose l(p) = 0. What is p?
-2, -1/2, 1, 2
Let q(m) be the second derivative of m**8/23520 + m**7/8820 - m**4/12 + 3*m. Let r(y) be the third derivative of q(y). Suppose r(v) = 0. Calculate v.
-1, 0
Let h = -1 + 7. What is p in h*p**2 + 0*p + 4*p**3 - 4*p + 6*p = 0?
-1, -1/2, 0
Let x be 1*((4 - 3) + -1). Solve 1/3 + x*z - 8/3*z**2 - 2*z**3 + 2*z**5 + 7/3*z**4 = 0 for z.
-1, -1/2, 1/3, 1
Let q = 38 - -2. Let r = q - 37. Determine o, given that 1/2 - 1/2*o**2 - 1/4*o**r + 1/4*o = 0.
-2, -1, 1
Suppose -4*l + 0*l = -24. Let a = l + -4. Suppose -a*x**2 - x + 5*x - 2*x + 0*x = 0. What is x?
0, 1
Let h(y) be the third derivative of 1/480*y**6 + 0 + 0*y + 0*y**4 + 0*y**3 + 1/240*y**5 + y**2. Factor h(s).
s**2*(s + 1)/4
Let l(o) be the second derivative of 0 - 3/2*o**3 + 1/2*o**4 + 0*o**2 + 3/20*o**5 + 8*o. Find b, given that l(b) = 0.
-3, 0, 1
Let w(j) be the third derivative of 0*j + 3*j**2 + 1/360*j**6 - 1/72*j**4 + 1/18*j**3 + 0 - 1/180*j**5. Let w(x) = 0. Calculate x.
-1, 1
Suppose 3*g - 15 = -2*g. Factor -2*q**2 + q - 3*q + 3*q + q**g.
q*(q - 1)**2
Let c(y) be the second derivative of 2*y + 0 - 1/48*y**4 + 0*y**2 + 0*y**3. Factor c(p).
-p**2/4
Let d(k) be the third derivative of k**2 + 0*k**3 - 1/420*k**6 + 1/210*k**5 + 0 + 0*k + 0*k**4. Factor d(t).
-2*t**2*(t - 1)/7
Factor 2 + 1/2*l**2 + 5/2*l.
(l + 1)*(l + 4)/2
Let p be 3 - (-2)/((-4)/(-6)). Let w be 6/p + (2 - 1). Let 4*c + 24*c**3 - 22*c**w + c + 2*c**4 - c - 8*c**5 = 0. Calculate c.
-2, 0, 1/4, 1
Let s(f) be the first derivative of -f**5/105 + 2*f**3/21 - 3*f**2/2 + 6. Let y(c) be the second derivative of s(c). Let y(i) = 0. What is i?
-1, 1
Let c be 1/((-3)/4 - -2). Suppose -c - 6/5*l - 2/5*l**2 = 0. What is l?
-2, -1
Let o = -20497/9954 - -2/553. Let g = 13/9 - o. Factor 1 - v**2 + 7/2*v - g*v**3.
-(v - 1)*(v + 1)*(7*v + 2)/2
Let s = -4 + 4. Let l be 0*(3 + s)/6. Factor -1/4*p**3 + 0 + l*p**2 + 0*p - 1/2*p**5 - 3/4*p**4.
-p**3*(p + 1)*(2*p + 1)/4
Let w(o) be the second derivative of 1/9*o**4 + 2/15*o**5 + 0*o**2 + 1/63*o**7 + 2/27*o**6 + 1/27*o**3 + 9*o + 0. What is y in w(y) = 0?
-1, -1/3, 0
Let g = 3305 + -29701/9. Suppose -g*p**3 - 2/9 - 14/9*p - 2/3*p**5 - 26/9*p**4 - 4*p**2 = 0. What is p?
-1, -1/3
Let q(l) be the third derivative of -l**8/70560 + l**6/2520 + l**5/15 - 2*l**2. Let u(b) be the third derivative of q(b). Solve u(i) = 0.
-1, 1
Suppose b - 10 = -4. Factor 8*t**2 - 6*t + 4*t - 2*t + b*t.
2*t*(4*t + 1)
Let g(f) = -28*f - 24. Let y be g(-1). What is q in 0 + 2/7*q**3 + 0*q + 0*q**2 - 2/7*q**y = 0?
0, 1
Suppose 0 = -2*n - 3*g - 3, -3*n - 3*g - 3 = 2*n. What is a in 1 + n + 3*a**2 - 6*a + 2 = 0?
1
Let b = -31 - -33. Let g be 0 + (-1 - (-10)/8). Find a such that 1/4*a**b + g*a - 1/4*a**3 - 1/4 = 0.
-1, 1
Let t(h) be the third derivative of h**6/30 - 4*h**5/15 + 5*h**4/6 - 4*h**3/3 + 16*h**2. Factor t(p).
4*(p - 2)*(p - 1)**2
Let f(m) = -8*m**2 + 87*m + 11. Let k be f(11). Determine u so that 0*u**2 + 0 + k*u + 1/3*u**3 + 1/6*u**4 = 0.
-2, 0
Let x(w) = -4*w**2 - 2*w + 2. Suppose s - 13 + 1 = 2*n, 15 = -5*n. Let h(p) = -7*p**2 - 3*p + 4. Let a(i) = s*h(i) - 11*x(i). Factor a(q).
2*(q + 1)**2
Let d(k) = -64*k**3 - 28*k - 28. Let y(m) = 7*m**3 + 3*m + 3. Let b(l) = 3*d(l) + 28*y(l). Factor b(s).
4*s**3
Let i(h) be the second derivative of -h**4/3 + 2*h**3 + 20*h**2 + 54*h. Factor i(l).
-4*(l - 5)*(l + 2)
Factor 0 - 12*m**4 + 0*m**2 - 9*m**3 - 9/2*m**5 + 3/2*m.
-3*m*(m + 1)**3*(3*m - 1)/2
Let l(d) be the second derivative of d**6/255 - d**4/51 + d**2/17 - 4*d. Find t such that l(t) = 0.
-1, 1
Factor -3*o + 3/4*o**4 + 9/2*o**2 + 3/4 - 3*o**3.
3*(o - 1)**4/4
Let g be (-6)/39*-1 - 120/(-65). What is f in -5/6*f**3 + 0 - 1/6*f**5 - 2/3*f**4 - 1/3*f**g + 0*f = 0?
-2, -1, 0
Suppose 35 = 5*v + 4*n - 9*n, 4*v - 28 = 5*n. Factor -2 + g + 2*g**4 + v*g**2 - 4*g**3 - 7*g**2 + 3*g.
2*(g - 1)**3*(g + 1)
Let f(r) = -10*r**4 - 30*r**3 - 70*r**2 - 55*r - 15. Let b(y) = -y**4 - y**2 + y + 1. Let z(u) = 5*b(u) - f(u). Let z(l) = 0. Calculate l.
-2, -1
Factor -5/2*o**2 - 7/2*o + 3.
-(o + 2)*(5*o - 3)/2
Suppose -r = -2*l + 8, -3*r = -4*l - 4*r + 4. Suppose s + 4*t = -l, 0 = -2*t - 2. Factor 1/3*a**s + 2/3*a + 0.
a*(a + 2)/3
Suppose o = 3*d + d - 96, -72 = -3*d - o. Determine c, given that -6*c + 2 + 2*c + 16*c**3 - 11*c + d*c**2 = 0.
-2, 1/4
Let i(r) = -r**3 - 4*r**2 + 6*r + 2. Let a be i(-5). Let l be (-2)/a + 24/18. Factor s + 2*s**2 + 4*s**3 + s**l + 2*s**2.
s*(s + 1)*(4*s + 1)
Let l be (-21)/(-15) + -7 - -6. Find h, given that l*h**3 + 0*h + 0 + 2/5*h**2 = 0.
-1, 0
Suppose 15*u - 6*u = -8*u. Factor 1/5*x**3 - 2/5*x**4 + 0*x + 1/5*x**5 + u*x**2 + 0.
x**3*(x - 1)**2/5
Let u(x) = -x**3 + 9*x**2 + 11*x - 9. Let s be u(10). Suppose -d**2 + s - 1 = 0. What is d?
0
Let r(f) be the first derivative of 0*f**2 + 3/4*f**4 - 1/6*f**3 + 1/3*f**6 + 0*f - 3 - 9/10*f**5. Factor r(o).
o**2*(o - 1)**2*(4*o - 1)/2
Let 12*t + 4*t**2 + 61 - 64 - t = 0. What is t?
-3, 1/4
Let b(n) = -2*n**2 + n - 2. Let v be b(4). Let f = v - -30. Factor 1/4*c**3 + 1/4*c**5 + 0 + f*c + 0*c**2 + 1/2*c**4.
c**3*(c + 1)**2/4
Suppose 18 = -3*f + 5*f. Solve -f*c**3 - 5*c + 7*c**2 - 15*c**2 - 4*c**2 + 2*c = 0 for c.
-1, -1/3, 0
Let q(j) = 2*j**2 + 6*j - 8. Let s = 3 - -24. Let h be 2/(-9) + (-129)/s. Let c(z) = -3*z**2 - 6*z + 9. Let w(m) = h*q(m) - 4*c(m). Find p such that w(p) = 0.
1, 2
Let c(y) = 5*y**3 + 7*y**2 + 8*y - 6. Let l(w) = 5*w**3 + 7*w**2 + 7*w - 5. Let b(p) = -5*c(p) + 6*l(p). Let b(u) = 0. Calculate u.
-1, -2/5, 0
Suppose 4*x + 4 = 3*w, -3*w + 4*x + 4 = w. Find p, given that -2/9*p**2 + 0*p + 2/9*p**3 + w = 0.
0, 1
What is s in -5*s + 2*s**2 - 4 - 3*s + 0*s**2 - 6*s**2 = 0?
-1
Let q(n) be the second derivative of -n**4/4 - 3*n**3/2 - 3*n**2 + 8*n. Find h such that q(h) = 0.
-2, -1
Let r(n) be the second derivative of 5*n**4/12 - 5*n**3/3 + 5*n**2/2 + 29*n. Solve r(f) = 0 for f.
1
What is h in -36*h + 39*h**2 + 0*h**4 + 3*h**4 - 39*h**3 + 21*h**3 + 12 = 0?
1, 2
Let b(d) = -d**3 - 3*d**2 + 4*d + 5. Let k be (3/((-3)/4))/1. Let a be b(k). Factor 0*s**2 + 4*s**2 + 5*s**4 + s**5 + s**5 + 8*s**3 - s**a.
s**2*(s + 1)*(s + 2)**2
Suppose 6*n = -n + 21. Factor -2/5*p**n + 0*p + 0 - 8/5*p**2.
-2*p**2*(p + 4)/5
Let h(j) be the first derivative of 2*j**5/5 - j**4 - 2*j**3 + 4*j**2 + 8*j + 33. Suppose h(o) = 0. Calculate o.
-1, 2
Let w(h) be the third derivative of 0*h - 1/40*h**6 - 1/70*h**7 - 3*h**2 + 1/112*h**8 + 0*h**4 + 0*h**3 + 1/20*h**5 + 0. Factor w(d).
3*d**2*(d - 1)**2*(d + 1)
Suppose -5/2*t**4 - 45/2*t**2 + 35/2*t - 5 + 25/2*t**3 = 0. What is t?
1, 2
Let r(w) = w**3 - 5*w**2 + 5*w - 5. Let a be r(5). Factor 3*l**3 + 4 - 29*l**2 + a*l**2 + 8 + 0*l**3.
3*(l - 2)**2*(l + 1)
Let n(r) be the third derivative of r**5/100 + r**4/4 + 5*r**3/2 - 5*r**2. Factor n(g).
3*(g + 5)**2/5
Let j(z) be the second derivative of 0*z**3 + 1/50*z**5 + 0 + z + 0*z**4 + 0*z**2 + 1/75*z**6. Determine t, given that j(t) = 0.
-1, 0
Let u = -574/3 + 194. Factor 4*w - u + 1/3*w**3 - 2*w**2.
(w - 2)**3/3
Let i(t) be the third derivative of 2/21*t**3 + 1/42*t**4 + 0*t + 0 - 1/105*t**6 + 1/588*t**8 - 2*t**2 + 2/735*t**7 - 2/105*t**5. Let i(g) = 0. Calculate g.
-1, 1
Let o(u) = u**3 - 5*u**2 + 6*u - 4. Let q be o(4). Let 2*p**2 + p**3 - q*p**2 + 3*p**2 - 19 + 18 - p = 0. What is p?
-1, 1
Let l(a) be the third derivative of a**6/600 - a**4/40 + a**3/15 - a**2. Factor l(w).
(w - 1)**2*(w + 2)/5
Le