4/7
Let q be -1 - (-3 - -3 - -2). Let g(u) = -5*u**2 + 0 + 0*u - 2 - u. Let d(k) = -k**2 + k. Let t(i) = q*d(i) + g(i). Factor t(c).
-2*(c + 1)**2
Let n = 22075/33 - 669. Let u = 20/33 - n. Solve -4/3*o**5 - 8/3*o**2 - u - 4/3*o**3 + 10/3*o**4 + 8/3*o = 0.
-1, 1/2, 1
Suppose -c + 5*o = 0, -c + 4*o + 3 = 2. Let i(t) be the third derivative of 0*t - 2*t**2 + 0 - 1/21*t**3 - 1/84*t**4 + 1/420*t**6 + 1/210*t**c. Factor i(h).
2*(h - 1)*(h + 1)**2/7
Let f(t) = t**2 + 2. Let u(a) = -7. Let c(w) = -8. Let y(i) = -6*c(i) + 7*u(i). Let s be (0 - 1)*(-1 - 1). Let p(d) = s*f(d) + 6*y(d). Factor p(q).
2*(q - 1)*(q + 1)
Let n(g) be the first derivative of -1/15*g**6 + 0*g**3 - 1 + 4/25*g**5 + 0*g**2 - 1/10*g**4 + 0*g. Factor n(f).
-2*f**3*(f - 1)**2/5
Let s be 20/14 - (-23)/((-1449)/(-36)). Factor 1/4*u - u**4 + 11/4*u**3 + 1/4 - 9/4*u**s.
-(u - 1)**3*(4*u + 1)/4
Let t = -14/3 + 5. Let j = -3 + 3. Determine c so that j + 0*c + t*c**2 = 0.
0
Solve 2/9*s**3 - 2/3*s**2 + 0*s + 0 = 0.
0, 3
What is g in g**4 + 3*g**2 - 3*g**2 + 2*g**3 + g**2 = 0?
-1, 0
Let h(r) = r - 6. Let l be h(6). Let z be (3 - l)/(-6)*0. Solve -2/7*n**3 + 0*n**2 + z + 0*n = 0 for n.
0
Let p(g) be the first derivative of -g**5/80 + g**4/16 - g**3/8 + 2*g**2 + 1. Let z(i) be the second derivative of p(i). Find c such that z(c) = 0.
1
Suppose 15/2*w + 0 + 5/4*w**2 = 0. Calculate w.
-6, 0
Let r(i) be the first derivative of i**6/12 - 3*i**5/10 + i**4/8 + i**3/2 - i**2/2 + 6. Find t, given that r(t) = 0.
-1, 0, 1, 2
Let 4/11*x**3 + 2/11 - 2/11*x**2 - 4/11*x = 0. What is x?
-1, 1/2, 1
Let y = 1 + 3. Let o = y - -1. What is u in 2*u + 2*u**2 + 0*u**4 - o*u**4 - 2*u**3 + 3*u**4 = 0?
-1, 0, 1
Let s(n) be the first derivative of 3*n**4/32 - 3*n**2/16 + 3. Suppose s(k) = 0. What is k?
-1, 0, 1
Let k be 4/(-6)*9/(-2). Factor r**3 - 6*r**2 + r**k + r**3 + 3*r.
3*r*(r - 1)**2
Let n(j) be the third derivative of -1/240*j**5 - 1/24*j**3 + 1/48*j**4 + 0 + 2*j**2 + 0*j. Factor n(r).
-(r - 1)**2/4
Suppose 12 = -n + 2*n - 4*y, 4*y + 24 = 4*n. Let m = n + 2. Find z, given that -6*z**4 + 5*z**4 - 4*z**5 - z**5 + m*z**5 = 0.
0, 1
Let f(t) be the first derivative of 3*t**6/8 + 3*t**5/4 - 21*t**4/16 - 9*t**3/4 + 3*t**2/2 + 3*t - 56. Find x, given that f(x) = 0.
-2, -1, -2/3, 1
Let z(x) = -2*x**2 + 4*x + 2. Let j(y) = y**2 - 1. Let t(q) = j(q) + z(q). Let d(a) = 5*a + 1. Let n(b) = -5*d(b) + 6*t(b). Factor n(r).
-(2*r + 1)*(3*r - 1)
Let d(g) be the first derivative of g**6/1620 + g**5/270 + g**4/108 - 5*g**3/3 + 5. Let p(k) be the third derivative of d(k). Determine q, given that p(q) = 0.
-1
Solve 0*q - 1/2*q**3 + 1/2*q**2 + 0 = 0 for q.
0, 1
Let t(z) = 15*z**2 - 11*z - 9. Let f(k) = 16*k**2 - 12*k - 10. Let i(l) = -5*f(l) + 6*t(l). Factor i(h).
2*(h - 1)*(5*h + 2)
Let s(k) = k**2 - k + 1. Let q(r) = 4*r**2 + r + 6. Let m(x) = 2*q(x) - 6*s(x). Factor m(y).
2*(y + 1)*(y + 3)
Suppose -o + 28 = -3*o. Let l be (-20)/112 + (-6)/o. Factor l*b**3 + 0 + 0*b**2 + 0*b.
b**3/4
Let d(l) be the third derivative of l**6/60 - l**5/30 - l**4/6 + 24*l**2. Determine u so that d(u) = 0.
-1, 0, 2
Let q be 2 - 4 - -2 - -4. Suppose 0 = 2*j + q*u + u - 11, 2*u = j - 1. Factor j - 8*o + 1 + 6*o**2 - 2.
2*(o - 1)*(3*o - 1)
Let o(p) = -p**2 + p - 3. Let b be o(4). Let d = -7 - b. Let -20/3*j**3 - d*j**2 - 2/3 - 4*j - 2*j**4 = 0. What is j?
-1, -1/3
Let p(u) be the second derivative of -1/6*u**4 + 0 + 4*u - 1/6*u**3 + 0*u**2. What is x in p(x) = 0?
-1/2, 0
Let g(q) be the third derivative of -2*q**7/105 + q**6/10 + q**5/15 - q**4/2 + 27*q**2. Let g(b) = 0. Calculate b.
-1, 0, 1, 3
Let s(h) = h**2 + 5*h + 2. Let q be s(-5). Let w = 5 - q. Solve -1/3*o**4 + 2/3*o**w + 1/3 + 0*o**2 - 2/3*o = 0 for o.
-1, 1
What is f in 32/5*f**2 + 18/5*f + 12/5*f**4 + 2/5*f**5 + 4/5 + 28/5*f**3 = 0?
-2, -1
Let f(d) be the second derivative of -d + 2*d**3 + 0 - 2*d**2 + 7/12*d**4. Let f(s) = 0. What is s?
-2, 2/7
Let f(n) be the second derivative of -3*n**5/20 - 3*n**4/4 + 2*n**3 + 18*n**2 + 3*n. Find r, given that f(r) = 0.
-3, -2, 2
Let u(k) be the third derivative of -1/80*k**6 + 1/420*k**7 - 1/120*k**5 + 0*k + 0 + 3*k**2 + 0*k**3 + 1/672*k**8 + 1/24*k**4. Factor u(i).
i*(i - 1)**2*(i + 1)*(i + 2)/2
Suppose 12 = 10*n - 4*n. Let l(o) be the first derivative of 3 - 2/9*o**3 + 0*o + 1/6*o**n + 1/12*o**4. What is p in l(p) = 0?
0, 1
Let m(n) = n - 6. Let j be m(8). Let b(u) be the second derivative of -1/3*u**j - 1/18*u**4 - u - 2/9*u**3 + 0. Solve b(w) = 0 for w.
-1
Find s such that 3*s**2 - 16/3*s - 4/3 = 0.
-2/9, 2
Let d(u) be the third derivative of u**7/420 + u**6/96 + u**5/240 - u**4/48 + u**2. Let d(b) = 0. What is b?
-2, -1, 0, 1/2
Find x such that -3/4*x + 3/2*x**3 + 0 + 0*x**2 - 3/4*x**5 + 0*x**4 = 0.
-1, 0, 1
Suppose -2*r = 2*w + 2, 1 = -2*r - w - 0. Find v, given that 2/11*v**4 + 2/11*v**3 - 2/11*v**2 - 2/11*v + r = 0.
-1, 0, 1
Let a(m) be the third derivative of -1/60*m**5 + 1/120*m**6 + 0*m**3 + 0 + 1/210*m**7 - 1/24*m**4 - 3*m**2 + 0*m. Suppose a(g) = 0. Calculate g.
-1, 0, 1
Solve 0*g - 243/7*g**2 + 12/7 = 0 for g.
-2/9, 2/9
Find r such that 3/2*r**4 + 0 + 6*r**2 + 6*r**3 + 0*r = 0.
-2, 0
Factor 2/5*c**2 + 8/5*c + 6/5.
2*(c + 1)*(c + 3)/5
What is g in 3*g + 5*g + 10*g**2 - g**2 + 3*g**2 + 28*g**4 - 48*g**3 = 0?
-2/7, 0, 1
Let n be 6/(-14) - 135/(-35). Let t(j) be the first derivative of -n*j**4 + 0*j - 8/7*j**5 - 1/7*j**6 - 32/7*j**3 - 16/7*j**2 + 2. Solve t(f) = 0 for f.
-2, -2/3, 0
Let g(a) be the third derivative of a**7/140 - 3*a**6/40 + 9*a**5/40 - 2*a**2. Factor g(o).
3*o**2*(o - 3)**2/2
Let t be (-58)/(-10) - (-24)/(-30). Let 5*s**3 + 21/2*s**4 - 3/2*s + 9/2*s**t - 3*s**2 + 1/2 = 0. What is s?
-1, 1/3
Let o(f) = -2*f**4 + f**3 - 3*f**2 - f + 5. Let p(v) = 3 - 2 - v**2 + 1 - 11*v**4 + 10*v**4. Let u(x) = 2*o(x) - 5*p(x). Let u(c) = 0. Calculate c.
-2, -1, 0, 1
Let t(c) = -2*c + 6. Let l(q) = 3*q - 5. Let a(b) = 4*l(b) + 5*t(b). Let i be a(-5). Factor 32/9*n**3 + i + 4/9*n - 22/9*n**2 - 14/9*n**4.
-2*n*(n - 1)**2*(7*n - 2)/9
Let k(d) be the second derivative of 0 - d + 0*d**2 + 0*d**4 - 1/30*d**5 + 1/9*d**3. Factor k(a).
-2*a*(a - 1)*(a + 1)/3
Let g(h) be the third derivative of h**8/2016 + h**7/315 + h**6/180 - h**5/180 - 5*h**4/144 - h**3/18 + 2*h**2 - 35*h. Factor g(q).
(q - 1)*(q + 1)**3*(q + 2)/6
Let c = 459 - 457. Factor 2/3*r**4 + 0*r + 0*r**c + 0 + 0*r**3.
2*r**4/3
Let k(r) be the first derivative of -r**4 - 3 + 2*r + 2*r**2 - 2/5*r**5 + 0*r**3. Factor k(v).
-2*(v - 1)*(v + 1)**3
Let y(q) be the first derivative of 0*q**2 + 0*q + 3 + 4/27*q**3 + 1/18*q**4 - 2/45*q**5. Factor y(j).
-2*j**2*(j - 2)*(j + 1)/9
Suppose -1 - 3 = -i. Let 2*h - i*h**3 - h**5 + h**5 - 2*h**5 + 4*h**5 = 0. Calculate h.
-1, 0, 1
Let k(x) be the first derivative of x**3/3 - x**2 - 34. Determine w, given that k(w) = 0.
0, 2
Let z be 158/(-22) - (-8)/44. Let a be (63/(-6))/z + -1. Factor 0*t**2 + 0*t**3 - 1/2*t**4 + 0 + 0*t + a*t**5.
t**4*(t - 1)/2
Suppose -2*g + 27 = 19. Let -36 - 24*n + g*n**2 - 15*n**2 + 7*n**2 = 0. What is n?
-3
Let w(p) be the first derivative of -p**6/225 - p**5/150 + 2*p - 5. Let j(t) be the first derivative of w(t). Factor j(g).
-2*g**3*(g + 1)/15
Let r(g) be the first derivative of g**5/20 - 3*g**4/16 + g**3/4 - g**2/8 - 2*g - 1. Let z(a) be the first derivative of r(a). What is t in z(t) = 0?
1/4, 1
Let u(x) = -x. Let k be u(-3). Determine b so that -19*b**2 - 6*b**5 - 4*b - 16*b**k - 4*b**2 + 5*b**2 - 14*b**3 - 22*b**4 = 0.
-1, -2/3, 0
Let i be 4/6*(-33)/2. Let b = i + 11. Factor 0*x**4 - 2/5*x**5 + b + 0*x**2 + 4/5*x**3 - 2/5*x.
-2*x*(x - 1)**2*(x + 1)**2/5
Let a = 1723/180 - 86/9. Let q(w) be the third derivative of a*w**6 - w**2 + 0 + 1/12*w**4 - 1/15*w**5 + 0*w**3 + 0*w. Find y, given that q(y) = 0.
0, 1
Let f(c) = -17*c**2 + 51*c - 19. Let u(v) = -84*v**2 + 256*v - 96. Let y be 3*1 - (-24)/(-4). Let s(r) = y*u(r) + 16*f(r). Factor s(w).
-4*(w - 2)*(5*w - 2)
Let p(t) be the third derivative of t**8/2240 - t**7/280 + t**6/120 - t**4/4 - 10*t**2. Let g(b) be the second derivative of p(b). Factor g(v).
3*v*(v - 2)*(v - 1)
Let y be -3 - (38/(-7) - 1). Let 96/7*d**4 + y*d**3 + 0 + 128/7*d**5 + 2/7*d**2 + 0*d = 0. Calculate d.
-1/4, 0
Let r(b) be the third derivative of b**8/336 + b**7/630 - 11*b**6/360 + b**5/60 + b**4/9 - 2*b**3/9 -