2 - 3*z**2 + o*z**3.
z*(z + 1)**2
Let z(d) = -6*d + 10. Let b be z(1). Determine r, given that -2/3*r**2 + 2/3*r**b + 0 + 0*r + 2/3*r**3 - 2/3*r**5 = 0.
-1, 0, 1
Let v be 38/28 + 29/203. Suppose -1/2*x**5 - 3/2*x**3 - v*x**4 + 0 - 1/2*x**2 + 0*x = 0. What is x?
-1, 0
Let n(r) be the third derivative of r**5/60 - r**3/6 - 3*r**2. Let u(c) = -2*c**2 + 1. Let t(a) = -n(a) - u(a). Let t(j) = 0. Calculate j.
0
Let d(a) be the third derivative of -a**5/5 + a**4/8 - 38*a**2. Solve d(n) = 0 for n.
0, 1/4
Let p(c) be the first derivative of -84*c**5/5 + 20*c**4 + 4*c**3 - 4*c**2 + 4. Find m such that p(m) = 0.
-1/3, 0, 2/7, 1
Let l = 43 + -31. Factor w**4 + 4*w**3 - 4*w - l*w**2 + 8 - 3*w**4 + w**4 + 5*w**4.
4*(w - 1)**2*(w + 1)*(w + 2)
Let x(z) be the first derivative of -z**6/3 - 4*z**5/5 + 3*z**4/2 + 8*z**3/3 - 4*z**2 - 7. Factor x(c).
-2*c*(c - 1)**2*(c + 2)**2
Let k(z) be the first derivative of z**6/45 + z**5/15 - 2*z**3/9 - z**2/3 + 6*z - 10. Let p(b) be the first derivative of k(b). Factor p(u).
2*(u - 1)*(u + 1)**3/3
Let n be 1670/(-300) - 2/3. Let s = n - -32/5. Factor s*r + 1/6*r**4 + 0 - 1/6*r**2 - 1/6*r**3.
r*(r - 1)**2*(r + 1)/6
Let v = -8 - -8. Let p(b) be the second derivative of 1/90*b**6 - b + 0*b**3 + 0*b**4 + v*b**2 + 0 + 1/60*b**5. Solve p(r) = 0 for r.
-1, 0
Suppose 2*h**2 + 10*h - 8*h - 4*h**2 = 0. What is h?
0, 1
Let r = -2 - 2. Let l = r - -6. Suppose -4 + 1 - 4*x + 6 - 1 + l*x**2 = 0. What is x?
1
Suppose 0 = 4*j - 1 - 19. Determine q, given that 2*q**5 - 4*q - 4*q**3 + 5*q - 4*q + j*q = 0.
-1, 0, 1
Let t be (-4)/(-4) + 0 - -1. Factor -8/5 - 48/5*d - 14*d**t.
-2*(5*d + 2)*(7*d + 2)/5
Factor 84*z**3 - 6 - 2*z**2 - 81*z**3 + 15*z - 10*z**2.
3*(z - 2)*(z - 1)**2
Let f(m) = -m**4 + m**3 + m + 1. Let a(l) = 2*l**4 + l**3 + l**2 - l - 1. Let t be 2 + (-12)/((-4)/(-1)). Let g(w) = t*a(w) - f(w). Factor g(c).
-c**2*(c + 1)**2
Let i be (-2)/((32/20)/(-4)). Suppose -3*h**i + h + 5*h**5 - h**2 - 3*h**3 + 0*h + h**4 + 0*h**2 = 0. What is h?
-1, 0, 1/2, 1
Let h(w) be the third derivative of w**7/945 - w**5/270 + 8*w**2. Factor h(v).
2*v**2*(v - 1)*(v + 1)/9
Let o(g) be the third derivative of -g**7/210 - g**6/24 - g**5/60 + 7*g**4/8 + 3*g**3 - 18*g**2. What is n in o(n) = 0?
-3, -1, 2
Let q(r) = -r**3 - 6*r**2 + 8*r + 9. Let h be q(-7). Suppose -4*i - 10*i**3 + i**4 + i**4 + 10*i**2 + h*i**3 = 0. What is i?
0, 1, 2
Let k(w) be the first derivative of -4 + 0*w - 1/18*w**4 - 1/9*w**2 + 4/27*w**3. Factor k(a).
-2*a*(a - 1)**2/9
What is c in 1/6*c + 1 + 1/6*c**3 - 2/3*c**2 = 0?
-1, 2, 3
Let t(q) be the first derivative of q**5/20 - q**4/8 - 7*q**3/12 - q**2/2 - 17. Determine l, given that t(l) = 0.
-1, 0, 4
Let 0 - 6/5*t**2 - 14/5*t**4 + 4/5*t - 24/5*t**3 = 0. What is t?
-1, 0, 2/7
Let n(i) be the first derivative of 0*i**4 + 1/180*i**6 + 1/60*i**5 - 1/18*i**3 + 2 + 4*i - 1/12*i**2. Let q(v) be the first derivative of n(v). Factor q(h).
(h - 1)*(h + 1)**3/6
Let k(b) = b**3 + 11*b**2 + 11*b + 12. Let t be k(-10). Suppose w + 2 = t*w. Factor 4/3*c**w + 0 - 2/3*c - 2/3*c**3.
-2*c*(c - 1)**2/3
Suppose 0 = -3*n - 2*d - 198, 2*n + 132 = -0*n - 2*d. Let t = -460/7 - n. Determine y, given that 0 + t*y + 2/7*y**2 = 0.
-1, 0
Suppose 6 = 4*j + 18. Let h = j + 3. Factor 0*n + h + 0*n**2 + 1/2*n**3.
n**3/2
Let w(y) be the first derivative of -y**4/3 + y**3 + 5*y - 1. Let n(l) be the first derivative of w(l). What is s in n(s) = 0?
0, 3/2
Let w(c) be the third derivative of -c**6/180 - c**5/90 - 24*c**2. Factor w(a).
-2*a**2*(a + 1)/3
Let y(q) = -q - 13. Let o be y(-5). Let x be (o/(-14))/(48/56). Solve -2/9*g**2 - 2/9*g**4 - 2/3*g**3 + 4/9 + x*g = 0 for g.
-2, -1, 1
Let n(g) be the third derivative of -g**6/960 - g**5/240 + 6*g**2. What is r in n(r) = 0?
-2, 0
Let d(l) be the third derivative of -l**6/540 + l**5/135 + 5*l**4/108 - 2*l**3/9 + 28*l**2. Factor d(r).
-2*(r - 3)*(r - 1)*(r + 2)/9
Suppose -3 = -2*x + j, -3 = -4*x + 6*x - 3*j. Factor 0*z**2 + 1 + 4*z**2 - 4*z - 3*z**2 + x.
(z - 2)**2
Suppose 8*o - 41 = -17. Let y(u) be the second derivative of 0 - 1/20*u**5 - u + 0*u**4 + u**2 + 1/2*u**o. Factor y(p).
-(p - 2)*(p + 1)**2
Let k(t) be the second derivative of -t**4/30 + t**3/15 + 27*t. Factor k(f).
-2*f*(f - 1)/5
Factor 2/5*a**4 + 0 + 2/5*a + 6/5*a**3 + 6/5*a**2.
2*a*(a + 1)**3/5
Let s(w) = w**3 + w - 1. Let t(i) = i**3 + 6*i - 2. Let y(o) = 6*s(o) - 3*t(o). Factor y(x).
3*x*(x - 2)*(x + 2)
Let t = 4411/15456 - 2/483. Let v = t - 17/288. Factor -v*m**2 - 2/9*m**3 + 0 + 0*m.
-2*m**2*(m + 1)/9
Let w(g) be the second derivative of g**7/10080 - g**6/720 + g**5/120 + 2*g**4/3 - 5*g. Let f(h) be the third derivative of w(h). Factor f(o).
(o - 2)**2/4
Let h(g) = -4*g**2 + 6*g - 2. Let p(z) be the third derivative of z**5/12 - 7*z**4/24 + z**3/3 - 5*z**2. Let a(b) = 4*h(b) + 3*p(b). Factor a(x).
-(x - 2)*(x - 1)
Factor -2/7*n + 12/7*n**3 - n**4 - 3/7*n**2 + 0.
-n*(n - 1)**2*(7*n + 2)/7
Let c(p) = 5*p**4 + 3*p**3 + 3*p. Let z be 2/(-4) + (-40)/16. Let u(f) = -6*f**4 - 4*f**3 - 4*f. Let i(b) = z*u(b) - 4*c(b). Factor i(h).
-2*h**4
Let u be 1*(-1)/(-2) + 2 + -2. Factor 0 - 1/2*j**3 - j**2 - u*j.
-j*(j + 1)**2/2
Let y be 84/45 - (-4)/30. Let i(s) = s**3 + 5*s**2 + 3*s + 2. Let l be i(-4). Find c such that -4 - l*c + 2 - 10*c**2 + 4*c**y - 2*c**3 = 0.
-1
Suppose 2*h**2 + 0 + 0*h**3 + 0*h - 3/2*h**4 - 1/2*h**5 = 0. What is h?
-2, 0, 1
Let b(c) be the second derivative of c**4/18 - c**3/9 - 2*c**2/3 - 8*c. Factor b(j).
2*(j - 2)*(j + 1)/3
Let q(h) be the first derivative of -h**6/33 - 2*h**5/55 + h**4/11 + 4*h**3/33 - h**2/11 - 2*h/11 - 1. Find j, given that q(j) = 0.
-1, 1
Let d(h) = 29*h**3 + 2*h**2 - 45*h - 18. Let g(z) be the first derivative of 5*z**4/2 + z**3/3 - 15*z**2/2 - 6*z + 4. Let w(j) = 4*d(j) - 11*g(j). Factor w(i).
3*(i - 2)*(i + 1)*(2*i + 1)
Let w(d) be the first derivative of d**6/6 - d**5/3 + d**4/12 + d**3/9 + 4. What is a in w(a) = 0?
-1/3, 0, 1
Factor -y**2 - 21/4*y**4 - 49/4*y**5 + 0 + 0*y + 6*y**3.
-y**2*(y + 1)*(7*y - 2)**2/4
Let o(n) = -14*n**4 + 10*n**3 + 15*n**2 - 13*n - 1. Let s = 1 + 0. Let i(f) = -f**2 - f + 1. Let m(h) = s*o(h) - 3*i(h). What is b in m(b) = 0?
-1, -2/7, 1
Let x(b) be the third derivative of 7*b**8/216 + 17*b**7/135 + b**6/30 - 22*b**5/135 + 2*b**4/27 + 5*b**2. Solve x(y) = 0.
-2, -1, 0, 2/7
Let i = 2 - 2. Let a = i - -5. What is w in 2*w + 0*w**3 - a*w**2 + w**2 + w**2 + w**3 = 0?
0, 1, 2
Let u(k) be the first derivative of -k**4/12 - 2*k**3/3 - 3*k**2/2 - 4*k/3 + 25. Let u(w) = 0. Calculate w.
-4, -1
Suppose u - 2*a + 2 = 7, 0 = 5*u - 4*a - 19. Find y, given that 0 + 1/3*y - 1/3*y**u + 0*y**2 = 0.
-1, 0, 1
Let g(m) = -m**2 + 5*m + 2. Let l be g(5). Let a(f) be the third derivative of 0*f**3 + f**l + 1/60*f**4 + 0*f + 0 + 1/150*f**5. Factor a(t).
2*t*(t + 1)/5
Determine x so that -1/2*x**4 + 0*x**3 + 0*x**2 - 1/2*x**5 + 0 + 0*x = 0.
-1, 0
Suppose -63*a + 15 = -58*a. Factor 0 + 1/3*w + 1/3*w**a - 2/3*w**2.
w*(w - 1)**2/3
Factor -52/7*m - 8 + 4/7*m**2.
4*(m - 14)*(m + 1)/7
Let d(m) = -2*m**2 - 5*m - 3. Let h(z) = -3*z**2 - 9*z - 5. Let n(o) = 5*d(o) - 3*h(o). Factor n(b).
-b*(b - 2)
Let x(f) be the second derivative of 1/6*f**2 - 1/126*f**7 + 1/6*f**3 - 1/30*f**5 + 0 - 1/30*f**6 + 1/18*f**4 + 4*f. Let x(q) = 0. Calculate q.
-1, 1
Let c(s) be the third derivative of 0*s + 1/6*s**3 + 0*s**5 + 0 + 0*s**4 - s**2 - 1/1260*s**6. Let u(g) be the first derivative of c(g). Factor u(x).
-2*x**2/7
Determine b, given that -6*b - 3*b**2 - 80 + 151 - 74 = 0.
-1
Let x be (-4)/2 - 30/(-9). Let 0 + x*u - 4/3*u**3 + 0*u**2 = 0. Calculate u.
-1, 0, 1
Let q be -3 + (-57)/(-12) + -1. Let n = 11 - 7. Factor -q*h**n + 3/4*h**2 - 1/2*h + 0 + 1/2*h**3.
-h*(h - 1)*(h + 1)*(3*h - 2)/4
Let c be (-30)/(-18) - 1/1. Factor 1/3*d + 0 - c*d**4 - 1/3*d**5 + 0*d**3 + 2/3*d**2.
-d*(d - 1)*(d + 1)**3/3
Let p(u) = -u**2 + 9*u + 6. Let x be p(8). Let i = -12 + x. Solve 6/5*k**i + 2*k + 4/5 = 0 for k.
-1, -2/3
Let -2/7*d**4 + 0 + 0*d - 2/7*d**2 - 4/7*d**3 = 0. Calculate d.
-1, 0
Let r be 8/(-16)*(-12)/1. Factor -r + d**3 + 3 + 3 - d.
d*(d - 1)*(d + 1)
Let g(m) = -m**3 - 2 - 5*m + 5*m**2 + 3*m + 10*m**3. Let v(s) = -36*s**3 - 21*s**2 + 9*s + 9. Let q(a) = 9*g(a) + 2*v(a). Let q(p) = 0. What is p?
-1/3, 0
Let o be (396/275)/9*5/2. Factor o*s**2 + 4/5*s 