= 0. Calculate y.
-2, 0, 2/7, 1
Suppose 8*k**4 - 3 + 1 - 386*k**3 + 8*k + 378*k**3 - 6*k**2 = 0. What is k?
-1, 1/2, 1
Let k(h) = -h**2 + 2*h. Suppose -2*w - 9 = w. Let x(i) = -2*i**2 + 3*i. Let s(z) = w*x(z) + 5*k(z). Factor s(b).
b*(b + 1)
Find m, given that 1/3*m**2 + 8/3 + 2*m = 0.
-4, -2
Suppose 3*a - 19 = -5*k - 2, 5*a - 11 = -4*k. Let p be ((-4)/3)/((-2)/3). Solve 3*b**4 - 7*b**4 + p*b**k = 0.
0
Let p(w) be the second derivative of w**5/5 + 2*w**4/3 + 3*w. Find m such that p(m) = 0.
-2, 0
Let h(f) be the second derivative of -1/168*f**7 + 0*f**5 + 0*f**2 + 0*f**4 + 0 + 0*f**3 + 2*f + 1/120*f**6. Suppose h(r) = 0. Calculate r.
0, 1
Let r be 4/6*6/(-28)*-26. Factor -r*j**2 - 12/7*j**3 - 8/7 - 24/7*j - 2/7*j**4.
-2*(j + 1)**2*(j + 2)**2/7
Suppose 2*c = 4*h - 4, 5*h - 4*c + 2 = 4. Let p(n) be the second derivative of 1/80*n**5 + 1/48*n**4 - 1/24*n**3 - 1/8*n**h - 2*n + 0. Let p(k) = 0. What is k?
-1, 1
Let p(d) be the third derivative of -1/150*d**6 - 1/60*d**4 + 1/280*d**8 - 2*d**2 + 0*d - 2/75*d**5 + 4/525*d**7 + 0 + 0*d**3. Let p(r) = 0. What is r?
-1, -1/3, 0, 1
Let y be 22/5 - (-4)/(-10). Let v = 1/367 + 4397/2569. Factor 0 + v*j**3 + 16/7*j**y + 6/7*j**5 - 2/7*j + 0*j**2.
2*j*(j + 1)**3*(3*j - 1)/7
Let l(k) be the first derivative of -1 + k**2 + 0*k + 2/3*k**3. Factor l(b).
2*b*(b + 1)
Let o = -457 + 460. Factor 0 - 8/15*m - 8/15*m**2 - 2/15*m**o.
-2*m*(m + 2)**2/15
Let b(s) be the second derivative of -49*s**5/30 - 14*s**4/9 - 4*s**3/9 - 9*s. Factor b(i).
-2*i*(7*i + 2)**2/3
Factor 1/3*u**3 - 1/3*u**5 + 0*u + 0*u**4 + 0*u**2 + 0.
-u**3*(u - 1)*(u + 1)/3
Suppose 0*f - 40 = -5*f. Find j, given that 15*j - 22*j**2 - j - j**4 + f*j**3 - 9 + 10*j = 0.
1, 3
Let i(r) be the third derivative of -4/21*r**3 + 0 - 1/105*r**6 + 1/21*r**4 + 1/735*r**7 + 0*r - 4*r**2 + 1/70*r**5. Factor i(g).
2*(g - 2)**2*(g - 1)*(g + 1)/7
Suppose 63 = 2*t - 9*t. Let s be 2/14*(-21)/t. Factor 2/3*z**3 - s*z**4 - 2/3*z + 1/3 + 0*z**2.
-(z - 1)**3*(z + 1)/3
Let o(x) be the first derivative of x**6/12 + x**5/5 - x**4/4 - 2*x**3/3 + x**2/4 + x - 6. What is r in o(r) = 0?
-2, -1, 1
Let h(n) be the third derivative of 0*n + 0 + 0*n**3 + n**2 - 1/4*n**4 - 3/20*n**5 - 1/40*n**6. Suppose h(s) = 0. What is s?
-2, -1, 0
Let b(n) be the third derivative of n**8/2240 - n**7/840 - n**6/120 + 7*n**4/24 - 2*n**2. Let t(p) be the second derivative of b(p). Factor t(i).
3*i*(i - 2)*(i + 1)
Factor 0*x + 2/11*x**3 + 0 - 4/11*x**5 + 2/11*x**4 + 0*x**2.
-2*x**3*(x - 1)*(2*x + 1)/11
Solve 2/5*a**2 + 0*a + 0 = 0 for a.
0
Let f(m) be the second derivative of -m**6/6 + 5*m**4/12 - 7*m. Factor f(w).
-5*w**2*(w - 1)*(w + 1)
Factor -20/9 + 2/9*k**2 + 2*k.
2*(k - 1)*(k + 10)/9
Suppose 12/7*o**2 + 0*o + 0 - 75/7*o**5 + 48/7*o**3 + 15/7*o**4 = 0. Calculate o.
-2/5, 0, 1
Let a(o) be the third derivative of 0*o + 0*o**3 - 1/300*o**5 + 1/1050*o**7 - o**2 - 1/60*o**4 + 1/300*o**6 + 0. Suppose a(f) = 0. Calculate f.
-2, -1, 0, 1
Let w(a) = 5*a**5 - 4*a**4 + 2*a**3 - 2*a**2 + 13*a - 8. Let n(m) = -4*m**5 + 3*m**4 - 2*m**3 + 3*m**2 - 12*m + 7. Let d(b) = -6*n(b) - 5*w(b). Factor d(u).
-(u - 1)**4*(u + 2)
Let w(h) = -29*h + 118. Let g be w(4). Determine l, given that -6/5*l**g - 4/5 - 2*l = 0.
-1, -2/3
Let d(m) be the second derivative of -m**5/150 + m**3/15 + 2*m**2 + m. Let s(b) be the first derivative of d(b). Factor s(w).
-2*(w - 1)*(w + 1)/5
Let d(b) = b + 3. Let c be d(0). Factor -12*q + 5*q**2 + 7*q**3 + 1 + 8*q**2 + 14*q**c - 5.
(q + 1)*(3*q - 2)*(7*q + 2)
Let g(z) be the second derivative of -z**7/126 + 2*z**6/45 + z**5/5 + z**4/18 - 11*z**3/18 - z**2 + 51*z. Factor g(o).
-(o - 6)*(o - 1)*(o + 1)**3/3
Let l(j) be the first derivative of 2/21*j**3 + 1/7*j**2 - 2 + 0*j. Determine i so that l(i) = 0.
-1, 0
Let a(t) be the third derivative of t**6/540 - t**4/36 + 2*t**3/27 + 7*t**2. Solve a(q) = 0 for q.
-2, 1
Suppose -2/3*l**2 + 1/3 - 2/3*l**3 + 1/3*l + 1/3*l**4 + 1/3*l**5 = 0. What is l?
-1, 1
Let f = 9 - 5. Factor -4*q**2 + f*q**4 - 2*q**3 + 6*q**3 + 4*q**2.
4*q**3*(q + 1)
Suppose -16/3 + 2/3*h**3 + 4/3*h**2 - 8/3*h = 0. What is h?
-2, 2
Let a(j) be the third derivative of 0*j**6 + 1/9*j**3 + 0 + 1/315*j**7 + 0*j**4 - 1/45*j**5 + 0*j - 3*j**2. Factor a(k).
2*(k - 1)**2*(k + 1)**2/3
Let z(s) be the third derivative of 1/240*s**6 + 1/36*s**3 + 0 + 7/360*s**5 + 3*s**2 + 0*s + 5/144*s**4. What is b in z(b) = 0?
-1, -1/3
Suppose 0 = 4*q - 7 - 1. Suppose -q + 6 = b. Solve 3*k - b*k**2 - 4 + k + k**2 + 2*k**2 = 0 for k.
2
Let j(c) be the third derivative of -c**6/240 - c**5/24 - c**4/12 + 21*c**2. Solve j(t) = 0.
-4, -1, 0
Let g(l) be the first derivative of -2/45*l**3 + 8 - 1/5*l**2 + 8/15*l. Solve g(b) = 0 for b.
-4, 1
Let n(t) be the second derivative of t**4/6 + 16*t**3/3 + 64*t**2 + 27*t. Determine m so that n(m) = 0.
-8
Let v(y) be the first derivative of 2*y**5/5 - y**4 + 2*y**3/3 + 5. Let v(i) = 0. What is i?
0, 1
Let n(h) be the third derivative of h**7/10080 + h**4/24 - 3*h**2. Let b(w) be the second derivative of n(w). Factor b(x).
x**2/4
Let p(c) = -2*c**4 - 22*c**3 + 20*c**2 - 4. Let d(k) = -k**4 - k**3 + k**2 - 1. Let r(h) = -4*d(h) + p(h). Find s, given that r(s) = 0.
0, 1, 8
Let d be 2/8 - 45/4. Let v(y) = -y**3 - 11*y**2 + y + 11. Let n be v(d). Solve n + 2/9*g**5 + 4/9*g**4 + 0*g + 0*g**2 + 2/9*g**3 = 0 for g.
-1, 0
Factor -3*g + 3*g**2 + 40 - 40 - 6*g**2.
-3*g*(g + 1)
Let n(t) be the third derivative of t**6/300 - t**5/50 + t**4/30 + 17*t**2. Factor n(c).
2*c*(c - 2)*(c - 1)/5
What is z in 4*z**5 - 23*z**3 + 4*z**4 + 6*z**3 + 17*z**3 = 0?
-1, 0
Let l be 3 - 0*2/6. Suppose c - 3*c - 7 = j, 3*c = 3*j - 24. Factor v - v**l + v**5 + 0*v**5 - v**j.
v*(v - 1)**2*(v + 1)**2
Let r(l) be the second derivative of -7*l**8/720 - l**7/120 + l**6/45 - l**5/90 + l**3/3 - l. Let w(y) be the second derivative of r(y). Factor w(z).
-z*(z + 1)*(7*z - 2)**2/3
Let j(x) = -x**5 - 5*x**4 - 6*x**3 - 3*x**2. Let g(m) = m**4 - m**2 - m. Let r(c) = -4*g(c) - 4*j(c). Factor r(a).
4*a*(a + 1)**4
What is z in 1/2*z**3 + 9/4 + 1/4*z**5 - 7/2*z**2 - 3/4*z + 5/4*z**4 = 0?
-3, -1, 1
Factor 0 - 1/4*c**2 + 1/4*c.
-c*(c - 1)/4
Let x(b) be the third derivative of 0*b + 0 + b**2 + 0*b**6 + 0*b**4 - 1/70*b**7 + 0*b**3 + 1/20*b**5. What is a in x(a) = 0?
-1, 0, 1
Solve 30*b + b**3 - 18*b - 8 + 41*b**2 - 47*b**2 = 0 for b.
2
Let x(f) be the first derivative of -2*f**3/27 - 16*f**2/9 - 128*f/9 + 60. Factor x(u).
-2*(u + 8)**2/9
Let r be (-8)/7 - 8/(-7). Factor 0*t - 7/3*t**4 - 19/3*t**3 + r + 2*t**2.
-t**2*(t + 3)*(7*t - 2)/3
Let u(n) be the first derivative of -4*n**5/5 + 3*n**4 + 14. What is a in u(a) = 0?
0, 3
Let z(b) be the second derivative of -1/90*b**5 + 4*b + 0*b**2 + 1/27*b**3 + 0 + 0*b**4. What is s in z(s) = 0?
-1, 0, 1
Let z be 0/2*(-2 + 1). Let x be 5 + ((-2)/5)/((-4)/(-20)). Factor -1/2*b**2 - b**x + z*b - 1/2*b**4 + 0.
-b**2*(b + 1)**2/2
Suppose -7*h = -2*h. Let t(c) be the second derivative of h*c**4 + 0*c**2 + 0 + 0*c**3 + 2*c + 1/60*c**5. Suppose t(k) = 0. What is k?
0
Let a(r) be the second derivative of r**4/20 - r**3/10 + 7*r. Factor a(o).
3*o*(o - 1)/5
Let l(r) be the third derivative of -r**7/2520 + r**6/540 - r**5/360 - r**3 - 9*r**2. Let v(h) be the first derivative of l(h). Factor v(d).
-d*(d - 1)**2/3
Let v(s) be the second derivative of 1/24*s**4 + 0*s**2 + 3*s + 1/80*s**5 + 0 + 0*s**3. Factor v(o).
o**2*(o + 2)/4
Suppose 3*m + 10 = 4*m. Let s be 3/(-6) + 9/m. What is d in 0 - s*d - 2/5*d**2 = 0?
-1, 0
Let b(r) = r**3 - r. Let i(x) = -2*x**3 + 5*x**3 + 8*x**2 - 2*x**2 + 7*x**2 - 4 - 12*x. Let s(k) = -24*b(k) + 3*i(k). Solve s(w) = 0.
-2/5, 1, 2
Let v(g) be the first derivative of 3*g**4/8 + g**3/3 - 4. What is i in v(i) = 0?
-2/3, 0
Factor -10*j**3 + 66*j + 8*j**3 + 19*j**3 - 64*j + 19*j**2.
j*(j + 1)*(17*j + 2)
Let x be 448/(-96)*10/(-7). Find a, given that -4/3*a**2 + 4*a**4 - 8/3 - x*a**3 + 20/3*a = 0.
-1, 2/3, 1
Factor -11/2*s - 1/2*s**3 - 7/2*s**2 - 5/2.
-(s + 1)**2*(s + 5)/2
Suppose x = -b + 2*x + 6, -2*x - 22 = -4*b. Find o, given that 3*o**2 + 22*o - 2*o**2 + b*o**2 + 12 = 0.
-3, -2/3
Suppose 0 + 12/11*s - 6/11*s**2 = 0. Calculate s.
0, 2
Let x(z) = z**2 - 8*z - 1. Let t(p) = -2*p**2 - p + 1. Let q(l) = -2*t(l) - 2*x(l). Determine h, given that q(h) = 0.
-9, 0
Factor -9*r**4 - r**3 + 