 Let l(p) = m*x(p) - 33*a(p). What is j in l(j) = 0?
-1, 0, 1
Let r = -30/11 + 32/11. Factor 0*q**2 + r*q**3 + 0 + 0*q + 2/11*q**4.
2*q**3*(q + 1)/11
Suppose -3*a + a - 4 = 0. Let b be (a - (-7 - -3)) + 1. Solve 0 + 0*k - 1/2*k**b + 0*k**2 = 0 for k.
0
Let r(u) be the second derivative of 1/12*u**4 - 1/3*u**3 + 1/2*u**2 + 3*u + 0. Factor r(c).
(c - 1)**2
Let l(z) = z**2 - 4*z - 3. Let i(y) = -2*y**2 + 5*y + 4. Let w(f) = -1 - 2*f + f - 3 - 13. Let g be w(-13). Let u(q) = g*i(q) - 6*l(q). Factor u(v).
2*(v + 1)**2
Factor 1 - 4 + 8*g - 2*g + 0*g - 3*g**2.
-3*(g - 1)**2
Suppose 5*c**2 + 1/3*c**4 + 3*c + 0 + 7/3*c**3 = 0. Calculate c.
-3, -1, 0
Suppose -4 = -3*y + 2. Let v be (0/(-1))/(1 + 1). Determine t, given that -t + 0 + t**y + v = 0.
0, 1
Suppose 0 = -t - 4. Let h be t/9*6/(-4). Suppose -h*o**3 + 1/3*o**5 - 1/3*o**2 + 1/3*o + 1/6 + 1/6*o**4 = 0. Calculate o.
-1, -1/2, 1
Let a(p) be the second derivative of -11*p**4/6 + 20*p**3/3 + 4*p**2 + 3*p. Factor a(f).
-2*(f - 2)*(11*f + 2)
Let n(w) = -w**2 - 5*w + 4. Let o = 10 - 15. Let y be n(o). Factor 1/4*x**3 + 1/2*x**y + 0 + 1/4*x**5 + 0*x + 0*x**2.
x**3*(x + 1)**2/4
Let s(a) be the third derivative of a**8/560 - a**7/70 + a**6/20 - a**5/10 + a**4/8 + a**3/2 + 3*a**2. Let q(y) be the first derivative of s(y). Factor q(b).
3*(b - 1)**4
Let k(c) = c**2 - 6*c + 5. Let l be k(5). Factor l*d**4 + 0*d**3 + 6*d**4 + 3*d**3 + 3*d**5.
3*d**3*(d + 1)**2
Let v(f) be the first derivative of f**6/3 - 2*f**5/5 - 3*f**4/2 + 2*f**3/3 + 2*f**2 + 3. Factor v(l).
2*l*(l - 2)*(l - 1)*(l + 1)**2
Let p be (-14)/(-3) - 3/(-9). Factor 3*z**2 - 1 - p*z**2 - 2 - 1 - 6*z.
-2*(z + 1)*(z + 2)
Let m(l) be the second derivative of 3*l**5/20 - l**4/4 + 6*l. Find h, given that m(h) = 0.
0, 1
Let d(j) be the third derivative of -j**8/336 + j**7/30 - 3*j**6/20 + j**5/3 - j**4/3 - 2*j**2 + 32*j. Determine q, given that d(q) = 0.
0, 1, 2
Let r(z) be the second derivative of z**6/210 + z**5/70 + z**4/84 - 11*z. Factor r(v).
v**2*(v + 1)**2/7
Let v(n) be the third derivative of n**7/10080 + n**6/480 + 3*n**5/160 + n**4/12 + 2*n**2. Let y(u) be the second derivative of v(u). Solve y(m) = 0 for m.
-3
Find b, given that -2*b - 5/4*b**2 - 1 - 1/4*b**3 = 0.
-2, -1
Let q(z) be the second derivative of -16*z**2 - 1/6*z**4 + 4*z + 0 + 8/3*z**3. Factor q(n).
-2*(n - 4)**2
Let o(d) = -2*d. Let w be o(-1). Find l, given that -2/7*l + 0 + 6/7*l**w = 0.
0, 1/3
Let r(v) be the second derivative of v**6/120 - v**4/8 - 2*v**3/3 - 2*v. Let u(t) be the second derivative of r(t). Factor u(y).
3*(y - 1)*(y + 1)
Suppose -2*j = -10*j + 16. Suppose 2/3*b**j + 0*b - 2/3 = 0. What is b?
-1, 1
Let s be (5/((-25)/(-6)))/(24/16). Solve -p**2 - 1/5 - 2/5*p**3 - s*p = 0.
-1, -1/2
Let x(p) be the second derivative of 3*p**6/20 - 2*p**5/5 + p**4/3 + p**2 - 2*p. Let n(g) be the first derivative of x(g). Solve n(t) = 0.
0, 2/3
Let s(u) be the third derivative of -1/1260*u**7 + 0*u + 0*u**4 + 0*u**6 + 0 - 3*u**2 + 1/360*u**5 + 0*u**3. Factor s(a).
-a**2*(a - 1)*(a + 1)/6
Let k(l) be the third derivative of l**6/960 + 3*l**5/160 + 9*l**4/64 + 9*l**3/16 - 15*l**2. Determine z so that k(z) = 0.
-3
Let b(q) be the second derivative of -4*q + 3/20*q**5 + 1/6*q**3 + 0 + 0*q**2 - 1/3*q**4. Factor b(d).
d*(d - 1)*(3*d - 1)
Let s(d) be the third derivative of -d**6/120 + d**5/45 + 5*d**4/72 - d**3/9 - 16*d**2. Factor s(j).
-(j - 2)*(j + 1)*(3*j - 1)/3
Factor 1 - 1 - 2742*f**3 - 24*f**2 + 20*f + 2746*f**3.
4*f*(f - 5)*(f - 1)
Let b be (-2)/(-12) + 488/24 + -16. Determine d so that -3*d - 2 + b*d**2 - 5/4*d**3 = 0.
-2/5, 2
Let b(h) = 22*h. Let l be b(1). Let g be (-4)/(3 - l/4). Determine i, given that -g*i - 18/5*i**4 + 24/5*i**3 + 4/5*i**2 - 2/5 = 0.
-1/3, 1
Let q = -47 + 50. Let d(l) be the first derivative of -1/16*l**4 - 2 + 1/4*l**q - 3/8*l**2 + 1/4*l. Factor d(j).
-(j - 1)**3/4
Let b(h) = 2*h. Let k be b(1). Factor -3*j**2 + k + 2*j + 0*j - 2 + 1.
-(j - 1)*(3*j + 1)
Suppose -5*j = -j - 12. Find o, given that -2*o + 3*o - 3*o**3 + 2*o**j + 2 - 3*o**2 + o**4 = 0.
-1, 1, 2
Let s = 193 - 193. Factor s + 3/4*t**2 - 3/2*t.
3*t*(t - 2)/4
Let v = 11 + 1. Let g = 18 - v. Find m such that -3*m**5 - 3*m**5 + g*m**4 - 4*m**2 + 0*m**3 - 2*m**4 + 6*m**3 = 0.
-1, 0, 2/3, 1
Let i(r) be the second derivative of -r**5/30 + r**4/12 - r**3/18 + 28*r. Factor i(p).
-p*(p - 1)*(2*p - 1)/3
Let m(q) be the first derivative of q**6/30 + q**5/10 + 2*q + 1. Let g(f) be the first derivative of m(f). Factor g(k).
k**3*(k + 2)
Let m = 9 + -6. Suppose 12 = 3*q + m. Determine k so that 6/7*k + 2/7 + 6/7*k**2 + 2/7*k**q = 0.
-1
Let x = -9 + 37/4. Solve b**2 + 0 - x*b = 0.
0, 1/4
Let l(y) be the first derivative of -y**5/10 + y**4/6 - y - 3. Let k(q) be the first derivative of l(q). Factor k(g).
-2*g**2*(g - 1)
Let t = 8 - 5. Factor -3*g**2 - 14*g**4 - 18*g**3 - 3*g**5 - t*g - 9*g**2 + 2*g**4.
-3*g*(g + 1)**4
Let n = -18 - -13. Let a(p) = 6*p**4 + 4*p**3 + 5*p - 5. Let v(t) = -7*t**4 - 5*t**3 - 6*t + 6. Let c(s) = n*v(s) - 6*a(s). Find d such that c(d) = 0.
0, 1
Find g such that 0*g - 2/3*g**4 + 0 + 4/3*g**3 - 2/3*g**2 = 0.
0, 1
Let z(m) be the third derivative of 79/30*m**6 - 7*m**2 + 0*m - 16/3*m**3 + 1/12*m**8 + 16/21*m**7 + 58/15*m**5 + 0 + 2/3*m**4. Find s such that z(s) = 0.
-2, -1, 2/7
Let h(a) be the first derivative of a**3/3 - 2*a**2 - 2*a + 2. Let b be h(5). Factor 6*j + j**2 - 2 - b*j - 2*j**2.
-(j - 2)*(j - 1)
Let o(i) be the third derivative of i**6/120 + 7*i**5/60 - i**4/3 + i**3/2 - 3*i**2. Let w be o(-8). Find z such that 4/5*z**2 - 16/5*z**w + 0 + 2/5*z = 0.
-1/4, 0, 1/2
Suppose 0 = -n - 3*d - 7, 2*d + 0*d = -2*n - 2. Let a be (-2)/7 - (-16)/7. Determine w so that -5*w**n + a*w**3 + w**2 + 0*w**3 + 2*w = 0.
0, 1
Let q be 2/((0 - 0) + 2). Determine d so that -q - 3 - 3*d**2 + d**2 - 6*d = 0.
-2, -1
Let c(y) = 3*y**2 - y - 1. Let h be c(-1). Let -3*j**4 + 81*j**3 - 1 + 6*j**2 - 78*j**h + 1 = 0. What is j?
-1, 0, 2
Let c(y) be the second derivative of y**8/3360 - y**7/420 + y**6/120 - y**5/60 - y**4/3 + 4*y. Let l(r) be the third derivative of c(r). Factor l(u).
2*(u - 1)**3
Let i(k) = 18*k**3 - 54*k**2 + 23*k - 5. Let h(d) = -19*d**3 + 53*d**2 - 22*d + 6. Let n(o) = 4*h(o) + 6*i(o). Factor n(g).
2*(g - 3)*(4*g - 1)**2
Let i be (-8)/(-12) + (-5)/(-6). Let 3/4*k**2 + i + 9/4*k = 0. Calculate k.
-2, -1
Let x(f) be the first derivative of -50*f**6/3 - 76*f**5 - 139*f**4 - 388*f**3/3 - 64*f**2 - 16*f - 1. Let x(w) = 0. What is w?
-1, -2/5
Solve -1/7*l**4 + 5/7*l**2 - 4/7 - 4/7*l - 1/7*l**5 + 5/7*l**3 = 0.
-2, -1, 1, 2
Let a(l) be the first derivative of -l**5/240 - l**4/16 - 3*l**3/8 + l**2 - 3. Let q(n) be the second derivative of a(n). Factor q(f).
-(f + 3)**2/4
Let u(j) be the first derivative of 3*j - 1/135*j**6 - 3 + 0*j**3 + 1/27*j**4 + 0*j**5 - 1/9*j**2. Let o(c) be the first derivative of u(c). Factor o(k).
-2*(k - 1)**2*(k + 1)**2/9
Let o = 14 - 9. Let k(v) be the third derivative of 2*v**2 + 0*v + 0 - 1/240*v**o + 1/48*v**4 - 1/24*v**3. Let k(a) = 0. What is a?
1
Let f(t) be the third derivative of t**7/1050 - t**5/100 - t**4/60 + 9*t**2. Factor f(j).
j*(j - 2)*(j + 1)**2/5
Let x(s) be the first derivative of -2*s**3/3 - 7*s**2 - 12*s - 34. Find t such that x(t) = 0.
-6, -1
Let n(a) be the first derivative of a**6/90 - a**5/10 + a**4/3 + 10*a**3/3 + 3. Let y(p) be the third derivative of n(p). Suppose y(r) = 0. What is r?
1, 2
Let r = -4/15 - -8/5. Let b(s) be the first derivative of r*s**3 - 1 + 0*s - s**2 - 1/2*s**4. Let b(c) = 0. Calculate c.
0, 1
Let q = 55/24 - 23/24. Suppose -2/3*w + q*w**2 + 2/3*w**3 - 4/3 = 0. What is w?
-2, -1, 1
Let c(j) be the first derivative of j**8/1344 + j**7/840 + 5*j**2/2 + 1. Let v(t) be the second derivative of c(t). Factor v(i).
i**4*(i + 1)/4
Let z(k) be the first derivative of k**6/7 - 16*k**5/35 + 2*k**4/7 + 4*k**3/7 - k**2 + 4*k/7 - 30. Determine o, given that z(o) = 0.
-1, 2/3, 1
Let t = -1/5 - -1/3. Let y(h) be the second derivative of 0 + h + 0*h**5 + 1/3*h**4 + 0*h**2 - t*h**6 + 1/3*h**3 - 1/21*h**7. Solve y(k) = 0 for k.
-1, 0, 1
Let k(x) be the third derivative of -2*x**9/945 + x**8/525 - x**7/2100 + x**3/6 + 2*x**2. Let r(v) be the first derivative of k(v). Let r(h) = 0. What is h?
0, 1/4
Let v(u) be the first derivative of 5*u**4/4 -