d(v) + k(v). What is x in u(x) = 0?
-2, -1
Let k(v) = -v - 3. Let m be k(-5). Factor -3/2*w**3 + 3/2*w + 0 + 0*w**m.
-3*w*(w - 1)*(w + 1)/2
Suppose 3*q = -4*w - 15 + 47, 0 = -q + 2*w - 6. Factor r**3 + 0*r + 1/2*r**q + 1/2*r**2 + 0.
r**2*(r + 1)**2/2
Let x(d) be the third derivative of -4*d**7/21 + d**6/6 - d**5/24 - 3*d**2. Factor x(r).
-5*r**2*(4*r - 1)**2/2
Let g(q) = 5*q**2 - 6*q + 6. Let l(a) be the first derivative of 14*a**3/3 - 17*a**2/2 + 17*a + 1. Let c(w) = -17*g(w) + 6*l(w). What is p in c(p) = 0?
0
Let w(y) be the first derivative of -y**4 - 4. Factor w(n).
-4*n**3
Let n(a) be the second derivative of a**5/90 - a**4/6 + a**3 - a**2/2 + 3*a. Let c(x) be the first derivative of n(x). Solve c(r) = 0.
3
Let a(r) be the second derivative of 112/11*r**4 - 16/3*r**3 + 16/11*r**2 + 0 - 2*r + 343/165*r**6 - 98/11*r**5. Determine y, given that a(y) = 0.
2/7, 2
Let z be (-2)/4*(-25 - -25). Factor z*t**3 + 0*t + 3/5*t**5 + 0*t**2 + 6/5*t**4 + 0.
3*t**4*(t + 2)/5
Let i be -3 + 9 + -2 + 2. Factor 1 - 2*t**2 - 7 + i*t**3 - 2 - 16*t.
2*(t - 2)*(t + 1)*(3*t + 2)
Suppose 0 = -3*n - 0*n + 21. Suppose 2*w = n*w. Let 0*f + 2/5*f**5 - 2/5*f**3 + w - 2/5*f**2 + 2/5*f**4 = 0. What is f?
-1, 0, 1
Let t be (-16)/(-7) - (1 + (-1)/(-1)). Determine k, given that -6/7 + 4/7*k + t*k**2 = 0.
-3, 1
Let z be 91/35 + (-3)/5. Determine g, given that 10*g**2 + 4*g + 2*g**z + 11*g**2 - 9*g**2 = 0.
-2/7, 0
Let z(x) = -7*x**2 + 3*x - 5. Let p be (-3)/(2 + 1 + -2). Let o(i) = 4*i**2 - 2*i + 3. Let y(l) = p*z(l) - 5*o(l). Find a such that y(a) = 0.
-1, 0
Let b(n) = n**3 - 6*n**2 - 13*n + 12. Let c be b(8). Suppose -2*x + 4*x = c. Let -3 + 12*f - x*f**2 + 4 - 3 = 0. What is f?
1/3
Let w = -37/2 + 19. Let n = -8 + 10. Factor -1/4*z**3 + w + 0*z**n + 3/4*z.
-(z - 2)*(z + 1)**2/4
What is o in -2/11*o**3 + 0*o - 2/11*o**5 + 4/11*o**4 + 0 + 0*o**2 = 0?
0, 1
Let n(m) be the first derivative of 2*m**3/45 + 4*m**2/3 + 40*m/3 - 36. Suppose n(i) = 0. Calculate i.
-10
Let m = 4/7 - -2/21. Let l(z) be the first derivative of 1/2*z**4 + 0*z**2 - m*z**3 + 0*z + 2. Solve l(d) = 0 for d.
0, 1
Let o(c) be the second derivative of -c**2 - 6*c + 1/6*c**3 - 1/20*c**5 + 1/6*c**4 + 0. Factor o(b).
-(b - 2)*(b - 1)*(b + 1)
Let j(o) = -6*o**2 - 17*o - 1. Let c(g) = 9*g**2 + 25*g + 2. Let v(p) = -5*c(p) - 7*j(p). Factor v(b).
-3*(b + 1)**2
Let u(f) = -16*f + 12*f + 1 - 1 + f**2. Let g be u(5). Factor 2*w**2 + 5*w + 0*w - g*w - 2*w**4.
-2*w**2*(w - 1)*(w + 1)
Let a be (1*-1)/(7/(-21)). Let o(m) be the first derivative of 1/6*m**a - 2 - 1/4*m**2 + 0*m. Let o(j) = 0. What is j?
0, 1
Let j = 258 - 256. Find t, given that 1/2 + 1/6*t**j + 2/3*t = 0.
-3, -1
Let t be (3/6)/((-2)/4). Let a = -1 - t. Determine g so that -4*g**4 + 4*g**2 - 2*g + a*g + 2*g**5 - 4*g**5 + 4*g**5 = 0.
-1, 0, 1
Let x(w) be the first derivative of w**8/1680 + w**7/840 - 2*w**3/3 - 3. Let b(y) be the third derivative of x(y). Factor b(c).
c**3*(c + 1)
Let d(q) be the second derivative of -q**7/42 + q**5/2 + 5*q**4/3 + 5*q**3/2 + 2*q**2 - 53*q. Factor d(p).
-(p - 4)*(p + 1)**4
Let p(d) be the first derivative of -2*d**5/5 - 5*d**4/2 - 16*d**3/3 - 4*d**2 + 33. What is v in p(v) = 0?
-2, -1, 0
Let b(o) = 5*o**3 + 7*o + 7. Let v(a) = 5*a**3 + 6*a + 6. Let n(u) = 6*b(u) - 7*v(u). Factor n(i).
-5*i**3
Let c(w) be the first derivative of 1 - w + 0*w**2 + 1/3*w**3. Factor c(j).
(j - 1)*(j + 1)
Let f(v) be the first derivative of -4*v**5/25 + v**4/5 + 8*v**3/15 + 13. Let f(g) = 0. What is g?
-1, 0, 2
Let m(n) be the second derivative of n**4/3 + 7*n**3/3 + 3*n**2 - 5*n. Factor m(h).
2*(h + 3)*(2*h + 1)
Let u be ((-7)/3)/((-1)/(-3)). Let c be u/(-2) + (-2)/(-4). Solve -c*p**2 + 0 + 0 - 2*p**3 - 2*p = 0.
-1, 0
Factor 0 - 4*i**5 - 1/4*i - 1/4*i**3 - 6*i**4 + 3/2*i**2.
-i*(i + 1)**2*(4*i - 1)**2/4
Suppose 3*i = i + 2*g + 8, -2*i + 4 = 2*g. Factor -14*s**5 - 7*s**i + 4*s**2 - 3*s**3 - 24*s**4 + 4*s**3.
-2*s**2*(s + 1)**2*(7*s - 2)
Let g be 39/12 + 4/(-16). Let z(s) be the second derivative of 0 + 3*s + 5/36*s**4 + 1/3*s**2 - 7/18*s**g. Suppose z(i) = 0. What is i?
2/5, 1
Let g(n) be the third derivative of n**6/24 - n**5/6 - 5*n**4/24 + 5*n**3/3 + 19*n**2. Factor g(x).
5*(x - 2)*(x - 1)*(x + 1)
Let v(k) be the second derivative of -k**5/20 - k**4/4 + 5*k. Factor v(p).
-p**2*(p + 3)
Let l(q) be the first derivative of q**6/20 + q**5/30 - q**4/4 - q**3/3 - 3*q**2/2 + 2. Let g(x) be the second derivative of l(x). Let g(w) = 0. What is w?
-1, -1/3, 1
Let q be (3/1 - 0) + 0. Factor -2*z**3 + 4*z**2 + 4*z**3 + 0*z**q - 3*z**2 + z**4.
z**2*(z + 1)**2
Let m(i) be the second derivative of i**6/10 - 3*i**5/5 + 3*i**4/2 - 2*i**3 + 3*i**2/2 - 27*i. Factor m(a).
3*(a - 1)**4
Let o(u) be the third derivative of 0*u**3 - 1/105*u**5 - u**2 + 1/420*u**6 + 0 + 1/84*u**4 + 0*u. Find f such that o(f) = 0.
0, 1
Let n(l) = l**2 + 7*l + 12. Let u be n(-5). Let t be (2 + 0)/(-2) - -1. Factor t - 1/2*b**4 + 3/2*b**3 - 3/2*b**u + 1/2*b.
-b*(b - 1)**3/2
Determine g, given that 0 + 1/6*g**2 + 1/2*g - 1/2*g**3 - 1/6*g**4 = 0.
-3, -1, 0, 1
Let n(k) = -7*k**3 + 4*k**2 - k. Let p(c) = 20*c**3 - 11*c**2 + 3*c. Let d(u) = -17*n(u) - 6*p(u). Factor d(s).
-s*(s + 1)**2
Let t(d) = d**2 + 3*d - 40. Let r be t(-8). Let u(z) be the second derivative of r*z**3 + 0 - 2*z - 6*z**2 - 3/20*z**5 + 3/4*z**4. Factor u(n).
-3*(n - 2)**2*(n + 1)
Let r(o) be the second derivative of -1/4*o**3 + 2*o - 1/2*o**2 + 0 + 1/12*o**4. Determine q so that r(q) = 0.
-1/2, 2
Let c(q) be the second derivative of 5*q**7/42 + 5*q**6/6 + 9*q**5/4 + 35*q**4/12 + 5*q**3/3 - 11*q. Suppose c(g) = 0. Calculate g.
-2, -1, 0
Factor -2/3*i**3 + 1/3 + 5/3*i**2 - 4/3*i.
-(i - 1)**2*(2*i - 1)/3
Let g(l) be the first derivative of l**6/6 + 2*l**5/5 - 2*l**3/3 - l**2/2 - 9. Factor g(z).
z*(z - 1)*(z + 1)**3
Let l(g) = -7*g**3 + 3*g**2 - 2*g. Let i(s) = s**3 - s**2. Let a(j) = 6*i(j) + l(j). Find f, given that a(f) = 0.
-2, -1, 0
Let n(v) be the first derivative of -5 + 0*v + 1/8*v**2 - 1/12*v**3. Let n(t) = 0. Calculate t.
0, 1
Let c(h) be the first derivative of -h**3/12 + h**2/4 + 3. Find x such that c(x) = 0.
0, 2
Suppose 2*w - 6 - 6 = -5*v, -5*v + 4*w = -6. Suppose 0 = -2*g - v*g + 20. Find a, given that -2 + 6*a**4 - a - 4*a**2 + 2*a**5 + 4*a**3 + 0*a**5 - g*a = 0.
-1, 1
Let a(u) be the first derivative of -u**5 - 3/2*u**2 + 0*u + 1/3*u**3 + 7/4*u**4 + 5. Solve a(g) = 0.
-3/5, 0, 1
Determine m, given that -7*m**2 + 21 + m**3 - 2*m + 3*m**3 - 21 = 0.
-1/4, 0, 2
Let x be 2/(-3) + (-528)/(-594). Determine m so that 0 + 0*m + 2/9*m**3 - x*m**4 + 0*m**2 = 0.
0, 1
Let f be 18/4 - (-6)/(-4). Suppose 0 = -a - f*a. Factor a*k + 3 + 2*k**2 + 1 - 6*k + 0.
2*(k - 2)*(k - 1)
Let z(f) be the second derivative of f**5/80 - f**4/8 - 41*f. Let z(u) = 0. Calculate u.
0, 6
Factor -5/2*r**2 + 5/4*r**5 - 5/2 + 5*r**4 - 25/4*r + 5*r**3.
5*(r - 1)*(r + 1)**3*(r + 2)/4
Suppose 0*h + 25 = 3*h - 4*q, -3*h + 22 = -q. Solve 16*s**2 - h*s - 3*s - 4*s**3 - 4*s**4 - 4*s + 2*s**5 + 4 = 0 for s.
-2, 1
Suppose -5*v**2 - 5*v + 27*v + 12*v - 320 + 46*v = 0. What is v?
8
Let v be 2*-3*4/(-12). Let l(s) be the second derivative of 4/3*s**3 + 2*s**v + 0 + 5/12*s**4 + s + 1/20*s**5. Determine t, given that l(t) = 0.
-2, -1
Factor -1/5*v**2 - 9/5 - 6/5*v.
-(v + 3)**2/5
Let x(f) = 5*f**4 + 20*f**3 - 25*f**2 + 10*f. Let y(q) = q**5 + q**3. Let j(p) = x(p) - 5*y(p). Factor j(h).
-5*h*(h - 1)**3*(h + 2)
Let t(j) be the third derivative of -j**10/10080 - 17*j**9/20160 - j**8/1120 - 7*j**5/60 - 8*j**2. Let z(q) be the third derivative of t(q). Factor z(g).
-3*g**2*(g + 3)*(5*g + 2)
Let d be 45/(-60) - 2483/252. Let p = d + 98/9. Factor 0*c + 0 + p*c**3 - 2/7*c**2.
2*c**2*(c - 1)/7
Let f(y) be the second derivative of -y**6/225 + y**5/30 - y**4/15 - 4*y**3/45 + 8*y**2/15 - 74*y. Solve f(t) = 0 for t.
-1, 2
Let o(q) = -q + q**3 + q. Let v(a) = -a + 4. Let i be v(6). Let c(t) = -t**4 + 3*t**3 + t**2 - t. Let g(u) = i*o(u) + c(u). Suppose g(w) = 0. What is w?
-1, 0, 1
Let m(c) be the third derivative of -c**6/15 - 3*c**5/20 - 2*c**2. Let g(l) = -l**3 - l**2. Suppose -5*q + 0 - 10 = 0. Let o(u) = q*m(u) + 18*g(u). Factor o(k).
-2*k**3
Let m(y) = -y**2 + 3*y - 2. Let j be m(3). Let b be (-1 - -6) + -1 + j. Find z such that 6*z**3 - 2*z + 3*z + 6*z**2 + b*z**2 - 9*z