j = 0. Calculate j.
0, 1, 2
Let b(w) = w**2 + 8*w + 17. Let i be b(-3). Factor 1/2*v**i + 3/2*v + 1.
(v + 1)*(v + 2)/2
Let r(u) be the first derivative of u**6/8 - 3*u**5/20 - 3*u**4/16 + u**3/4 - 1. Solve r(o) = 0.
-1, 0, 1
Let k(w) be the third derivative of w**8/6720 + w**7/3360 - w**6/1440 - w**5/480 - 7*w**3/6 + w**2. Let c(f) be the first derivative of k(f). Factor c(t).
t*(t - 1)*(t + 1)**2/4
Let z(k) be the first derivative of -k**6/30 + 3*k**5/25 - 3*k**4/20 + k**3/15 + 4. What is t in z(t) = 0?
0, 1
Let b(t) be the third derivative of -t**2 - 1/15*t**5 + 0*t + 0*t**6 + 1/168*t**8 + 0*t**3 + 2/105*t**7 - 1/12*t**4 + 0. Factor b(y).
2*y*(y - 1)*(y + 1)**3
Let f(u) be the first derivative of -6 + 8*u**2 + 4*u**4 + 4/5*u**5 + 4*u + 8*u**3. Factor f(a).
4*(a + 1)**4
Suppose 3*v + h - 24 = -3*h, -21 = -3*v - 3*h. Suppose -b = 3*b + t, 0 = -2*b + v*t. Factor 0 + 1/2*z**3 + 0*z + b*z**2 + 1/4*z**4.
z**3*(z + 2)/4
Suppose 15 = 4*f + 7. Let o(q) be the first derivative of 4/21*q**3 - 1/14*q**4 - 1 - 1/7*q**f + 0*q. What is w in o(w) = 0?
0, 1
Factor 11*w**3 + 2*w - 17*w - 6*w**3 + 10.
5*(w - 1)**2*(w + 2)
Let d(p) be the second derivative of p**5/12 - 5*p**4/12 + 5*p**3/6 - 5*p**2/6 - 3*p. Factor d(m).
5*(m - 1)**3/3
Let f(z) be the first derivative of -6 - 5/3*z**3 - 3/8*z**4 - z - 9/4*z**2. Factor f(s).
-(s + 1)*(s + 2)*(3*s + 1)/2
Let s be -3 + (-5)/(-3)*3. Let 5*g**2 - 7*g**2 - 1 - g + s = 0. Calculate g.
-1, 1/2
Suppose 5*q - 7 = 3. Determine g so that -6 - 18 + 6*g**5 + 7*g + 39*g**4 + 66*g**q - 19*g + 87*g**3 = 0.
-2, -1, 1/2
Let v = 37/80 + -1/16. Solve 0*s + v*s**2 - 2/5 = 0 for s.
-1, 1
Let b(w) = w**2 + 1. Let o(q) = 5*q**2 + 3. Let j(r) = r**3 + 3*r**2 + r + 1. Let y be j(-2). Let p(i) = y*b(i) - o(i). Let p(a) = 0. Calculate a.
0
Suppose -3*d - 3*d = 0. Let v(w) = -w**3 - w + 2. Let b be v(d). Let 2/3*n**3 - 2/3 - 2*n**2 + b*n = 0. Calculate n.
1
Let z(n) be the third derivative of 2*n**7/105 - n**6/15 - 4*n**5/15 + n**4/3 + 2*n**3 - 4*n**2. Let z(p) = 0. What is p?
-1, 1, 3
Solve 8/3*r**2 - 2/3*r**3 + 4/3 - 10/3*r = 0 for r.
1, 2
Let m(q) be the third derivative of -7*q**6/1980 + 3*q**5/220 - q**4/66 + q**3/6 + 4*q**2. Let x(l) be the first derivative of m(l). What is y in x(y) = 0?
2/7, 1
Suppose n + n + z - 5 = 0, -4 = -4*z. Factor 0*p**4 + p**4 + 2 - p**4 + n*p**4 - 4*p**2.
2*(p - 1)**2*(p + 1)**2
Let q = -96439/3 + 12827251/399. Let s = 52/19 - q. Suppose -2/7*r**4 + 2/7 + 0*r**2 - 4/7*r + s*r**3 = 0. What is r?
-1, 1
Let p be (20/16)/((-1)/(-4)). Suppose -16 = -4*w - 2*x + x, -2*w - 5*x + 26 = 0. Suppose 8/9*l**p + 0 + 0*l + 4/3*l**w + 2/9*l**2 + 2*l**4 = 0. Calculate l.
-1, -1/4, 0
Determine z so that 1/5*z**4 + 0 - 3/5*z**2 - 2/5*z**3 + 0*z = 0.
-1, 0, 3
Solve 6/11*x**2 + 0*x**3 - 2/11*x**4 + 4/11*x + 0 = 0.
-1, 0, 2
Let k(h) be the second derivative of 7*h**6/75 + 9*h**5/50 - h**4/6 - 3*h**3/5 - 2*h**2/5 + h + 26. Suppose k(d) = 0. Calculate d.
-1, -2/7, 1
Let q(v) be the third derivative of -2/135*v**5 + 0*v**3 + 0 + 0*v + 1/27*v**4 + 1/945*v**7 - 3*v**2 - 1/540*v**6. Determine s, given that q(s) = 0.
-2, 0, 1, 2
Let y = -9 - -11. Factor l**2 + l**3 + l**2 + l**3 + y*l**2.
2*l**2*(l + 2)
Let m be (2 - 1)/1 - -1. Suppose o = 3*y + y + 22, -o = -m*y - 12. Let 0*p**o + p**2 + 0*p**2 - 2 + 2*p + p**2 - 2*p**3 = 0. What is p?
-1, 1
Let c = -1 - -5. Let f(h) be the first derivative of 0*h - 3 - 1/4*h**c - 1/3*h**3 + 1/2*h**2 + 1/5*h**5. Find x, given that f(x) = 0.
-1, 0, 1
Let v(z) = -3*z + 6 - 5*z - 8*z**3 + 2*z**2 + 2*z**2 - 10*z**4. Let l(y) = -y**4 - y**3 - y + 1. Let c = 7 + 1. Let a(i) = c*l(i) - v(i). Factor a(k).
2*(k - 1)**2*(k + 1)**2
Let 1 + 464*q - 3*q**2 - 4 - 458*q = 0. What is q?
1
Let q(d) be the third derivative of 2*d**7/315 + d**6/180 + 7*d**2. Factor q(g).
2*g**3*(2*g + 1)/3
Let t(q) = q**3 - q**2 + q. Let s be 4*(1 - (1 - -1)). Let a(v) = -v**3 + 2*v**2 - v. Let w(i) = s*t(i) - 3*a(i). Factor w(j).
-j*(j + 1)**2
Let g = 22 - 15. Let 15*t**2 - 4*t**4 + t**4 - g - 5 = 0. Calculate t.
-2, -1, 1, 2
Let m(b) be the second derivative of -b**6/360 + b**5/80 - b**4/48 + 5*b**3/6 - 9*b. Let s(d) be the second derivative of m(d). Suppose s(u) = 0. What is u?
1/2, 1
Let g be 2/22*(-14)/(-3 - 4). What is z in -2/11 + 2/11*z**2 - g*z**3 + 2/11*z = 0?
-1, 1
Let g = -7593/35 - -217. Let m(w) be the first derivative of 0*w**2 - 1/21*w**6 + 2/21*w**3 + 1/14*w**4 + 3 - g*w**5 + 0*w. Solve m(v) = 0 for v.
-1, 0, 1
Factor -2/11*d - 4/11*d**3 + 5/11*d**2 + 1/11*d**4 + 0.
d*(d - 2)*(d - 1)**2/11
Let f be -1 - -3 - (8 + -3). Let k be ((-27)/(-12))/(f/(-8)). Find j such that 17*j - 7*j - k + 9*j**2 + 11*j + 3*j**2 = 0.
-2, 1/4
Suppose -7*p + 12*p = 25. Let 8*w**4 - 4 + 4 - 6*w**2 + 3*w**p - 3*w - 2*w**4 = 0. What is w?
-1, 0, 1
Let s(l) be the first derivative of 3*l**4/2 + 9*l**3/2 + 3*l**2/2 - 8. Find g, given that s(g) = 0.
-2, -1/4, 0
Find b, given that 0*b + 4/3*b**2 - b**4 - 1/3*b**5 + 0 + 0*b**3 = 0.
-2, 0, 1
Let a(s) be the second derivative of -s**7/147 - 11*s**6/105 - 43*s**5/70 - 73*s**4/42 - 8*s**3/3 - 16*s**2/7 + 33*s. Find o such that a(o) = 0.
-4, -1
Factor 0 + 0*j + 1/3*j**3 - 2/3*j**4 + 1/3*j**2.
-j**2*(j - 1)*(2*j + 1)/3
Let r(a) be the third derivative of 3*a**7/70 + 19*a**6/40 + 33*a**5/20 + 9*a**4/8 - 24*a**2. Factor r(x).
3*x*(x + 3)**2*(3*x + 1)
Find q, given that -9*q**3 + 2*q**3 - 4*q**5 + q**3 + 10*q**3 = 0.
-1, 0, 1
Let o be ((-7)/(-7))/((-3)/(18/(-8))). Factor 0*a + o*a**2 + 3/4*a**3 + 0.
3*a**2*(a + 1)/4
Suppose 3*p = -15, -3*p - 79 = -t - 2*p. Let v = t + -369/5. Factor -v*z**2 + 1/5*z - 3/5*z**4 + 0 - z**3.
-z*(z + 1)**2*(3*z - 1)/5
Let z = -4 + 21/5. Let j(i) be the first derivative of 0*i**2 + 0*i + z*i**5 + 1/3*i**3 + 1 - 1/2*i**4. Find o, given that j(o) = 0.
0, 1
Let u = 9 - 5. Let k = -35 + 177/5. Factor -32/5*p**u + 16*p**3 - 66/5*p**2 - k + 4*p.
-2*(p - 1)**2*(4*p - 1)**2/5
Let c = 54 - 54. Factor -1/5*h**2 - 1/5*h + c.
-h*(h + 1)/5
Let j = 963/815 + 3/163. Factor j*g**2 - 2/5*g + 0.
2*g*(3*g - 1)/5
Let n(k) = k**4 + 9*k**2 - k. Let i(r) = -5*r**4 - 37*r**2 + 3*r. Let q(l) = 6*i(l) + 26*n(l). Determine u, given that q(u) = 0.
-2, 0, 1
Let p(x) be the first derivative of x**4/36 - x**3/6 + x**2/3 - 2*x + 1. Let s(t) be the first derivative of p(t). Factor s(a).
(a - 2)*(a - 1)/3
Let d(n) be the second derivative of -5*n**7/252 + n**6/180 + n**5/12 - n**4/36 - 5*n**3/36 + n**2/12 + 6*n. Suppose d(j) = 0. Calculate j.
-1, 1/5, 1
Let g be -10*(-3)/(-18)*-3. Let r**g + 5*r**4 + 0*r**5 - 3*r**4 = 0. What is r?
-2, 0
Let b(h) be the third derivative of h**5/330 - h**4/11 + 12*h**3/11 - 33*h**2. Factor b(r).
2*(r - 6)**2/11
Let b be -1 + (4 - 3) + 5. Factor -3/4*t + 15/4*t**2 + 0 + 21/4*t**4 - 27/4*t**3 - 3/2*t**b.
-3*t*(t - 1)**3*(2*t - 1)/4
Let m(f) be the first derivative of 4*f**5/15 + 4*f**4/3 + 16*f**3/9 - 7. Factor m(q).
4*q**2*(q + 2)**2/3
Let t(a) be the first derivative of 0*a - 2 - 1/120*a**5 + a**2 - 1/6*a**3 - 1/16*a**4. Let c(q) be the second derivative of t(q). Factor c(b).
-(b + 1)*(b + 2)/2
Let j(m) be the third derivative of -m**8/280 + 4*m**7/525 + m**6/75 - m**2. Find z, given that j(z) = 0.
-2/3, 0, 2
Suppose 5*x = -6 - 19. Let d be 1/x - 2/(-10). Factor d*c**3 - 2*c**3 + c**2 + c**3.
-c**2*(c - 1)
Let a(z) = z**2 + 3*z - 4. Let t(d) = 3*d**2 + 9*d - 11. Let h(f) = 17*a(f) - 6*t(f). Factor h(i).
-(i + 1)*(i + 2)
Suppose -3*k + 32 = k. Let -k*n - 2*n**2 + n**2 + 9*n = 0. What is n?
0, 1
Factor -3/7*h**4 - 9/7*h**3 + 0*h + 0*h**2 + 0.
-3*h**3*(h + 3)/7
Let d(p) = p**2 + 2*p - 3. Let j be d(1). Let w(h) be the first derivative of -8/7*h + 3 + j*h**2 + 1/14*h**4 + 2/7*h**3. Factor w(o).
2*(o - 1)*(o + 2)**2/7
Let x(z) be the second derivative of 0*z**2 + 0 + 0*z**3 + 2/15*z**6 - 1/3*z**4 + 2*z + 1/10*z**5 - 1/21*z**7. Let x(k) = 0. What is k?
-1, 0, 1, 2
Let t be 6 - (-2 + 2)/1. Let j be t/(-2) + 4 - -2. Determine h so that 0*h**2 + 0*h + 10/3*h**5 + 4/3*h**j + 0 - 14/3*h**4 = 0.
0, 2/5, 1
Suppose 4*f = -2*i + 10, 0 = 2*f + 2*f + 3*i - 7. Suppose 0 = -2*b + f. Find j, given that -4*j**2 + 0*j**b + 14*j - 4*j**2 + 4 = 0.
-1/4, 2
Suppose 8/5*i - 36/5*i**2 - 12/5*i**4 + 8*i**3 + 0 = 0. Calculate i.
0, 1/3, 1, 2
Let n(d) be the first derivative of -9*d**5/130 + d**4/13 - d**3/39 -