 d*b + 0 + b + 1 = 0?
-1, 1
Determine b, given that -16*b**2 + 9*b**4 - 32*b**3 + 6*b**5 - 10*b**5 - 29*b**4 = 0.
-2, -1, 0
Let j(x) be the second derivative of 1/24*x**4 - 1/20*x**5 + 0*x**2 - 2*x + 0 + 0*x**3. Suppose j(b) = 0. What is b?
0, 1/2
Suppose 4*q = -q - 5. Let t(i) = -i - 1. Let k(h) = h**3 - h**2 + 6*h + 6. Let l(a) = q*k(a) - 6*t(a). Factor l(o).
-o**2*(o - 1)
Let v(g) be the first derivative of -5*g**6/24 - 3*g**5/4 - 15*g**4/16 - 5*g**3/12 - 14. Suppose v(x) = 0. What is x?
-1, 0
Let h be 15/(-5) - 19*-1. Let n be h/14*(-14)/(-18). Solve 0 + 0*a + n*a**2 + 8/9*a**3 + 2/9*a**4 = 0.
-2, 0
Suppose q**2 - 2*q - 2 + 2*q - q = 0. Calculate q.
-1, 2
Let s(b) be the second derivative of b**5/30 + b**4/6 + 2*b**3/9 - 4*b. Solve s(f) = 0.
-2, -1, 0
Suppose 0 - 69/2*n**3 + 51/4*n**2 + 129/4*n**4 - 3/2*n - 9*n**5 = 0. Calculate n.
0, 1/4, 1/3, 1, 2
Let z(x) be the first derivative of 3*x**5/40 - 21*x**4/32 + 9*x**3/4 - 15*x**2/4 + 3*x + 7. What is y in z(y) = 0?
1, 2
Let i = -1/104 - -223/1560. Let o(n) be the first derivative of 2/5*n + i*n**3 - 2 - 2/5*n**2. Factor o(h).
2*(h - 1)**2/5
Suppose -18*n - 12 = -21*n. Let a(f) be the first derivative of -1 - 1/4*f**n - 1/2*f + 3/4*f**2 + 3/10*f**5 - 1/3*f**3 - 1/12*f**6. Factor a(o).
-(o - 1)**4*(o + 1)/2
Factor 24/7 - 4/7*n - 4/7*n**2.
-4*(n - 2)*(n + 3)/7
Let a(v) be the first derivative of 5*v**4/4 + v**3 - v**2 - 18. Solve a(x) = 0 for x.
-1, 0, 2/5
Let h(c) be the first derivative of 4*c**3 + 8*c**2 + 4*c - 5. Suppose h(r) = 0. Calculate r.
-1, -1/3
Let d(n) be the first derivative of -2/3*n - 5 + 1/2*n**2 - 1/9*n**3. Factor d(v).
-(v - 2)*(v - 1)/3
Suppose -4*o + j = -8*o + 14, 0 = -5*o - 3*j + 14. Let 16 - 12 - 12*i**o + 4*i**2 + 8*i**3 - 4 = 0. What is i?
-1/3, 0, 1
Let q be -31 + (-8)/(-2) - -1. Let g = -21 - q. Let -4/3*c**3 + 2/3*c**g - 2/3 + 2/3*c + 4/3*c**2 - 2/3*c**4 = 0. Calculate c.
-1, 1
Let l = 50 - 50. Determine p, given that -3/5*p**2 + 3/5*p + l = 0.
0, 1
Let u(a) be the second derivative of 0 + 0*a**2 + 0*a**6 - 11*a + 1/14*a**7 + 0*a**4 - 3/20*a**5 + 0*a**3. Factor u(k).
3*k**3*(k - 1)*(k + 1)
Factor 2/5*i + 1/5*i**2 + 1/5.
(i + 1)**2/5
Let c be 76/(-10) + 4 - -4. Solve -2/5*g**3 - 2/5*g**2 + 0 + c*g + 2/5*g**4 = 0.
-1, 0, 1
Suppose 27 = -s + 5*d + 2, 4*d = -5*s + 20. Let p be (2 + -3)*(-3)/6. Suppose -p*y + s - y**2 - 1/2*y**3 = 0. What is y?
-1, 0
Let o be 0 + 1*4/16. Let k(l) be the first derivative of 0*l - 1/15*l**5 - 1/6*l**2 - 1/3*l**3 - 2 - o*l**4. Determine h so that k(h) = 0.
-1, 0
Suppose 0 - 9 = -3*w. Let q(s) = -2*s - w*s + s + s**3 + 3*s. Let r(l) = -2*l**5 + 2*l**4 + 3*l**3 - 2*l**2 - l. Let i(z) = -q(z) + r(z). Factor i(n).
-2*n**2*(n - 1)**2*(n + 1)
Let c(u) be the third derivative of u**8/84 - 2*u**7/105 - u**6/15 + 2*u**5/15 + u**4/6 - 2*u**3/3 - 9*u**2. Find v, given that c(v) = 0.
-1, 1
Let w(m) be the first derivative of -m**3 + 6 - 6*m - 9/2*m**2. Determine h, given that w(h) = 0.
-2, -1
Let f(l) be the first derivative of -5*l**6/12 - 9*l**5/5 - 11*l**4/4 - 4*l**3/3 + 3*l**2/4 + l + 3. Factor f(y).
-(y + 1)**4*(5*y - 2)/2
Suppose 2*l + 3 - 11 = t, 4*t = -3*l + 23. Factor -2*s**2 + 0*s**2 - s + 4*s**2 - 2*s**4 + s**l.
s*(s - 1)**3*(s + 1)
Let c be 0*(-2 + 2 - 1). Solve -2*n + c*n**4 - 2*n**3 - 2*n**4 + 4*n + 2*n**2 = 0 for n.
-1, 0, 1
Let i(a) = a + 4. Let n be i(-4). Suppose -s = 3*t - 13, -4*t + n*s = -4*s + 4. Factor 0 + 0*b + 1/3*b**2 - 1/3*b**t.
-b**2*(b - 1)/3
Let j be 1 + 5/((-140)/52) + 2. Factor 2/7*w**3 - j - 8/7*w + 2/7*w**2.
2*(w - 2)*(w + 1)*(w + 2)/7
Let w be 15/(-10)*1*-1*2. Let i(r) = -r**2 - 7*r - 3. Let u be i(-6). Factor 2*t + 4*t + t + u*t**2 - 6*t + 3*t**w + t**4.
t*(t + 1)**3
Suppose 4*n + 2*n = 636. Let v = 744/7 - n. Determine k, given that 2/7*k**3 + 0 + 0*k + v*k**2 = 0.
-1, 0
Let l(i) be the first derivative of i**7/3780 - i**6/540 + i**5/270 + 11*i**3/3 + 9. Let f(k) be the third derivative of l(k). Factor f(m).
2*m*(m - 2)*(m - 1)/9
Let c be -2 + (0 - -1 - 1). Let s(v) = -v**2 + v. Let u(x) = -4*x**2. Let w(y) = c*s(y) + u(y). What is q in w(q) = 0?
-1, 0
Determine a so that -a**2 + 16*a**2 + 55*a - 12 + 27 - 5*a = 0.
-3, -1/3
Suppose -4*t = -4*w - 7*t + 3, -5*t - 3 = 4*w. Find v, given that -1/2*v**5 + v**w - 1/2*v - 1/2*v**4 + v**2 - 1/2 = 0.
-1, 1
Suppose 3*z + 2*l = 4*z + 1, 4*z + 3*l - 29 = 0. Let h(t) be the second derivative of 0*t**2 + 0*t**4 - 1/70*t**z + 1/21*t**3 + 0 + 2*t. Factor h(j).
-2*j*(j - 1)*(j + 1)/7
Let w(c) = -21*c - 184. Let b be w(-9). Find k such that 0 - 6/7*k**4 + 0*k + 2/7*k**b + 8/7*k**2 + 0*k**3 = 0.
-1, 0, 2
Suppose -4*w - 9 = 5*x, 5*w - 2*w + 2*x - 2 = 0. Let g(a) be the third derivative of 1/8*a**w - 1/120*a**6 + 0*a + 1/3*a**3 + 0*a**5 + 0 - 2*a**2. Factor g(r).
-(r - 2)*(r + 1)**2
Let l(w) = 4*w**3 - w**2 + 3. Let c(a) = a**3 - a**2 + 1. Let m(p) = -6*c(p) + 2*l(p). Factor m(u).
2*u**2*(u + 2)
Let g(b) be the second derivative of b**5/16 + 5*b**4/24 - 5*b**3/24 - 5*b**2/4 - 16*b. Suppose g(o) = 0. What is o?
-2, -1, 1
Suppose d + 0*d - 4*z = 0, -4*d = 5*z. Let x = 3 - d. Factor 3*v**2 - 7*v - v**3 + 1 + v + x*v.
-(v - 1)**3
Let 9/4*i**2 + 5/4*i**3 + 7/4*i + 1/4*i**4 + 1/2 = 0. Calculate i.
-2, -1
Let m(n) be the third derivative of n**8/2688 - n**7/840 - n**6/320 - 7*n**2. Let m(g) = 0. What is g?
-1, 0, 3
Suppose 5*q - 15 = -5*h, 5*q - 8 = -2*h + 4*h. Let b(f) = -f**2 + 6*f - 3. Let d be b(2). Factor -1 + 5*x - x**q + 2 - d*x.
-(x - 1)*(x + 1)
Let -5*b**2 - 3*b**4 - 6*b + 8*b**2 + 6*b = 0. Calculate b.
-1, 0, 1
Let a(o) be the second derivative of o**5/210 + o**4/9 + 7*o**3/9 - 10*o. Factor a(l).
2*l*(l + 7)**2/21
Suppose 2 = -2*u - 0. Let m be 8/(-48)*(-3 + u). Solve 1/3*j**3 + 0 + m*j**2 + 1/3*j = 0.
-1, 0
Let t(d) be the third derivative of d**5/60 - 3*d**3/2 + 17*d**2. Solve t(c) = 0.
-3, 3
Let w(c) be the third derivative of -c**6/150 - c**5/75 + c**4/30 + 2*c**3/15 + 6*c**2. Factor w(y).
-4*(y - 1)*(y + 1)**2/5
Let t(s) be the first derivative of -8 + 2/9*s**2 + 0*s + 2/27*s**3 - 1/18*s**4. Factor t(h).
-2*h*(h - 2)*(h + 1)/9
Let s(r) be the first derivative of -r**6/6 - 9*r**5/20 - r**4/4 + r**3/6 + 7*r + 3. Let o(u) be the first derivative of s(u). Factor o(b).
-b*(b + 1)**2*(5*b - 1)
Let -1/7*b**2 + 3/7*b - 2/7 = 0. What is b?
1, 2
Let a(p) be the third derivative of 0 - 1/20*p**6 - 1/70*p**7 + 1/2*p**3 + 0*p**5 + 4*p**2 + 0*p + 1/4*p**4. Let a(k) = 0. What is k?
-1, 1
Let x(j) = -26*j**3 - 70*j**2 - 118*j - 74. Let o(k) = 9*k**3 + 23*k**2 + 39*k + 25. Let p(d) = 14*o(d) + 5*x(d). Factor p(u).
-4*(u + 1)**2*(u + 5)
Let c(j) = -1 - 6 + 0 + 2*j. Let g be c(5). Factor b**3 + 2*b**2 + 0*b**g - b**2.
b**2*(b + 1)
Let l be (2 + (-8)/6)*-9. Let w be (7/(-105))/(1/l). Solve -2/5*o + 0*o**2 + 0 + w*o**3 = 0 for o.
-1, 0, 1
Let l be 3 + 126/(-4) - 3. Let i = 32 + l. Factor i*y**2 - 1/2*y + 1/2*y**3 - 1/2.
(y - 1)*(y + 1)**2/2
Let d(p) be the third derivative of -8*p**7/21 - 3*p**6/5 - 7*p**5/20 - p**4/12 + 5*p**2. Determine h so that d(h) = 0.
-2/5, -1/4, 0
Let w = -322 + 324. Factor 2/5*s**w + 2/5 + 4/5*s.
2*(s + 1)**2/5
Let c(j) be the second derivative of -1/7*j**3 + 0 + 1/7*j**2 + 1/147*j**7 + 1/21*j**4 - 1/35*j**6 + 1/35*j**5 - 3*j. Suppose c(i) = 0. Calculate i.
-1, 1
Find x such that -4/3 + 10/3*x - x**2 - 3/2*x**3 = 0.
-2, 2/3
Let x(d) be the second derivative of 0 + 2*d + 0*d**5 + 1/12*d**4 + 1/3*d**3 - 1/180*d**6 + 0*d**2. Let y(c) be the second derivative of x(c). Factor y(i).
-2*(i - 1)*(i + 1)
Let l(h) be the third derivative of -h**5/240 - 7*h**4/48 - 49*h**3/24 - h**2. Determine i so that l(i) = 0.
-7
Suppose -4*w = -5*r + 23, 0*r + 3*w = -3*r + 3. Factor 1/3*i**r + i + i**2 + 1/3.
(i + 1)**3/3
Let v(q) = -4*q**3 - 3*q + 5. Let f(k) = -7*k**3 - k**2 - 5*k + 10. Let l(y) = -3*f(y) + 5*v(y). Let a(b) be the first derivative of l(b). Factor a(n).
3*n*(n + 2)
Suppose -6*z + z + 25 = 0. Suppose z*h - 3*g = -6, 0 = 4*h - 2*h - 3*g + 6. Factor 2/3*f**2 + h*f - 2/3.
2*(f - 1)*(f + 1)/3
Suppose 2*t = -3*b + 10, 0 = 4*t - 0*t - 8. Factor 2/9*u**5 + 8/9*u + 4/9*u**4 + 0 - 2/3*u**3 - 8/9*u**b.
2*u*(u - 1)**2*(u + 2)**2/9
Let l(s) be the second derivative of 0 + 0*s**3 - 1/6*s**4 + 0*s**2 + s. Determine x, given that l(x) = 0.
0
Suppose 0 = -5*f + 3*f + 4. Let m be ((-3)/(-5))