- 1))*1. Let -1/4*j**3 + 0 - 1/4*j - x*j**2 = 0. What is j?
-1, 0
Let l(p) be the second derivative of -2*p**6/15 + 4*p**5/5 - 2*p**4/3 - 8*p**3/3 + 6*p**2 - 5*p. Factor l(q).
-4*(q - 3)*(q - 1)**2*(q + 1)
Let b(n) be the third derivative of 0*n + 1/84*n**4 - 1/210*n**5 + 1/21*n**3 - 1/420*n**6 - 5*n**2 + 0. Factor b(d).
-2*(d - 1)*(d + 1)**2/7
Let l = -17 - -21. Suppose -7 = -l*u + 5. Factor 1/2*o - 5/4*o**2 - 3/4*o**u + 0.
-o*(o + 2)*(3*o - 1)/4
Factor 0*r - 1/2*r**3 - 1/2*r**2 + 0.
-r**2*(r + 1)/2
Let x(h) be the first derivative of -h**5/300 + h**4/60 - h**3/30 + 5*h**2/2 - 4. Let w(u) be the second derivative of x(u). Suppose w(f) = 0. Calculate f.
1
Let l(z) be the second derivative of z**5/10 + z**4 + 3*z**3 - 27*z. Solve l(q) = 0 for q.
-3, 0
Suppose -5 - 11 = -2*i. Factor -x**3 + i*x - 20*x + 8 + 0 + 6*x**2.
-(x - 2)**3
Let u(z) be the first derivative of z**4/4 - 2*z**3 + 9*z**2/2 - 63. Determine m, given that u(m) = 0.
0, 3
Let u(p) be the first derivative of p**7/735 + p**6/420 - p**5/210 - p**4/84 - p**2/2 + 3. Let v(h) be the second derivative of u(h). Factor v(s).
2*s*(s - 1)*(s + 1)**2/7
Let y(o) be the first derivative of 5*o**4/4 - 7*o**3/3 + o**2 - 4. Factor y(a).
a*(a - 1)*(5*a - 2)
Let t be (-8)/4*2/(-4). Let p be t/((-9)/(-6) - 1). Let 5*u**2 + 2*u**4 + 2*u**3 - 7*u**p - 2*u + 0*u**4 = 0. Calculate u.
-1, 0, 1
Let o(d) be the third derivative of 25*d**8/1512 + 8*d**7/63 + 7*d**6/45 + 8*d**5/135 + 8*d**2. Factor o(f).
2*f**2*(f + 4)*(5*f + 2)**2/9
Let o be (-4)/406*(-3 + -208). Let d = o - -6/29. Factor 4/7 - 6/7*w**3 + d*w**2 - 2*w.
-2*(w - 1)**2*(3*w - 2)/7
Let o(p) = p**5 - p**4 - p**3 + p**2 - p. Let q(l) = 20*l**5 - 30*l**4 - 10*l**3 + 30*l**2 - 5*l. Let s(f) = -5*o(f) - q(f). Suppose s(z) = 0. What is z?
-1, 0, 2/5, 1
Let k = 54/11 + -97/22. Let -k*g + 1/2*g**3 + 1/2*g**4 + 0 - 1/2*g**2 = 0. What is g?
-1, 0, 1
Suppose 3*j - g - 20 = 0, -g = -3*j + 5*j - 15. Suppose 3*x - j = -i, -2*x - 5*i = -24 + 2. Factor 2*u**2 - x + 0*u**4 + 0 - u**4.
-(u - 1)**2*(u + 1)**2
Factor 3/8*f - 3/8*f**2 + 0.
-3*f*(f - 1)/8
Suppose -2*s**3 - 2*s**3 - 2*s + 5*s**3 - 3*s**3 + 4*s**2 = 0. What is s?
0, 1
Let c(k) = k + 1. Let s(u) be the second derivative of u**4/12 - u**3/3 - 2*u**2 + 2*u. Let q(l) = -4*c(l) - s(l). Factor q(a).
-a*(a + 2)
Let b(j) be the third derivative of -1/300*j**6 - 1/2*j**3 - 1/40*j**4 + 0 - 3/200*j**5 + 0*j + 4*j**2. Let o(q) be the first derivative of b(q). Factor o(g).
-3*(g + 1)*(2*g + 1)/5
Let d = 5 - 5. Suppose -9*u**2 - u + 3*u**3 + d*u**3 + 7*u = 0. What is u?
0, 1, 2
Let x be 5 - (-5 - (-201)/21). Factor -3/7*d**5 - x*d**4 + 3/7*d**3 + 0 + 0*d + 3/7*d**2.
-3*d**2*(d - 1)*(d + 1)**2/7
Suppose -6*x + 2 = 2. Suppose 0 + x*g**3 + 0*g + 2/7*g**2 - 2/7*g**4 = 0. Calculate g.
-1, 0, 1
Let r(t) be the second derivative of 2*t**7/49 - 3*t**6/70 - 3*t**5/28 + 3*t**4/28 + t**3/14 + 12*t. What is z in r(z) = 0?
-1, -1/4, 0, 1
Let f be (6 - 7 - 4/(-6)) + 1. Find o such that -2/3*o**3 + f*o**2 + 0*o + 0 = 0.
0, 1
Let h = 1/122 + 213/61. Determine j so that 5/2*j**3 + j + h*j**2 + 0 = 0.
-1, -2/5, 0
Let a(k) = 6*k**3 - 3*k**2 - 9*k - 3. Let m be 5 - 2 - 3 - 1. Let v(y) = -y**3 + y**2 + y - 1. Let f(u) = m*a(u) - 5*v(u). Factor f(i).
-(i - 2)*(i + 2)**2
Let x(w) be the second derivative of -1/2*w**5 + 2/15*w**6 + 0 - w + 0*w**2 - 1/3*w**3 + 2/3*w**4. Find o such that x(o) = 0.
0, 1/2, 1
Let c(m) be the second derivative of -m**4/21 - 2*m**3/7 + 23*m. Suppose c(q) = 0. What is q?
-3, 0
Let p(n) = -n**2 - n - 1. Let k(z) = -z - 1. Let r(m) = -m**2 - 8*m. Let l(y) = -2*k(y) + r(y). Let t(s) = 3*l(s) - 6*p(s). Solve t(d) = 0 for d.
2
Suppose 12 = 2*w + 2*w. Let r(p) be the third derivative of -1/540*p**6 + 0*p + 0 + 0*p**3 - w*p**2 - 1/108*p**4 + 1/135*p**5. Factor r(c).
-2*c*(c - 1)**2/9
Let c(q) = -3*q + 0 - q + 4 + 3*q. Let p be c(4). Suppose -4/7*w**4 + p*w**3 + 0 - 2/7*w + 4/7*w**2 + 2/7*w**5 = 0. What is w?
-1, 0, 1
Let m(o) = o**2 - o. Let x be m(2). Solve -2*p**4 + p**2 + p**2 - 23*p**5 + 25*p**5 - x*p**3 = 0 for p.
-1, 0, 1
Suppose 6*k - 3*k - 3 = 0. Let s = k - 1. Determine r, given that -2 + 18*r**3 + 12*r - 8*r**4 + s + 6*r**3 - 26*r**2 = 0.
1/2, 1
Factor 2/11*k**2 + 4*k + 22.
2*(k + 11)**2/11
Let z = -6 + 1. Let c be 6/45*(-15)/z. Factor -2/5*f + c*f**3 + 2/5 - 2/5*f**2.
2*(f - 1)**2*(f + 1)/5
Let q(h) be the first derivative of -h**6/6 - h**5/5 + h**4/4 + h**3/3 + 49. Suppose q(x) = 0. Calculate x.
-1, 0, 1
Let n(v) be the first derivative of v**3/4 + 3*v**2/4 + 19. Suppose n(f) = 0. Calculate f.
-2, 0
Let f(u) be the first derivative of 5 - 1/9*u**3 + 0*u + 0*u**2. Solve f(l) = 0 for l.
0
Let f = 5 - 3. Let l(d) be the second derivative of -1/7*d**f - 1/42*d**4 - 3*d + 2/7*d**3 - 16/105*d**6 - 12/35*d**5 + 0. Suppose l(v) = 0. Calculate v.
-1, 1/4
Factor 20/3*q - 1/3*q**4 - 6*q**2 + 7/3*q**3 - 8/3.
-(q - 2)**3*(q - 1)/3
Let t(n) be the first derivative of -n**3/5 - 3*n**2/10 + 6*n/5 - 25. Find l such that t(l) = 0.
-2, 1
Let s(q) be the second derivative of q**4/60 - q**2/10 - 8*q. Find g such that s(g) = 0.
-1, 1
Suppose 0 = 3*r - 0*r + 45. Let z be (5/(r/12))/(-2). Factor -4*f - 2*f**z - 3 + 3 + 6*f.
-2*f*(f - 1)
Let a(k) = -12*k**3 - 78*k**2 - 93*k - 27. Let y(v) = 13*v**3 + 79*v**2 + 92*v + 26. Let x(t) = 2*a(t) + 3*y(t). Factor x(l).
3*(l + 1)*(l + 4)*(5*l + 2)
Let u = -11 + 12. Suppose 4*c - u = 7. Determine j, given that -2*j**c - 2 - 2 + j**4 + 5 = 0.
-1, 1
Factor 0 + 1/2*c**2 - 1/4*c**3 + 1/4*c**5 - 1/2*c**4 + 0*c.
c**2*(c - 2)*(c - 1)*(c + 1)/4
Let k be 0/((-4)/6*(-36)/(-24)). Solve 3/2*g + k*g**2 + 0 - 3/2*g**3 = 0.
-1, 0, 1
Let l = 101/156 - -1/52. Solve 2/3*b + l*b**2 + 0 = 0 for b.
-1, 0
Let a = 28 - 26. Let s(j) be the first derivative of -2/3*j**3 - j**a + 0*j + 2. Factor s(t).
-2*t*(t + 1)
Suppose 0 = -t - 0*t + 2. Let b(q) = -q - 2. Let d be b(-5). Factor 6*l**t + 12*l + l**d + 10 + 0*l**3 - 2.
(l + 2)**3
Suppose 0 = 5*j + 2*v - 6, 2*j + 3*v + 2 = -0. Let a = 0 + j. Suppose 1/4*g**3 + 0 - 1/4*g**a + 0*g = 0. Calculate g.
0, 1
Let g be (((-40)/15)/(-4))/((-20)/(-6)). Find a such that 0 + 3/5*a**4 + 1/5*a**2 - 3/5*a**3 + 0*a - g*a**5 = 0.
0, 1
Let b(a) be the first derivative of a**4/4 + a**3 + 2*a + 7. Let v(d) be the first derivative of b(d). Factor v(m).
3*m*(m + 2)
Suppose 0 = -3*f + 40 - 34. Let r(l) be the first derivative of 5/3*l**3 - 2 + 1/5*l + l**f. What is m in r(m) = 0?
-1/5
Factor 2/9*b + 1/3*b**2 - 1/3*b**3 + 0 - 2/9*b**4.
-b*(b - 1)*(b + 2)*(2*b + 1)/9
Suppose -3*g = 2*g - 10. Suppose -g*l = -l. Factor 2*t**2 + 2/7*t + 16/7*t**3 + l - 32/7*t**4.
-2*t*(t - 1)*(4*t + 1)**2/7
Let k(b) be the first derivative of b**5 - 10*b**3/3 + 5*b + 31. Let k(d) = 0. What is d?
-1, 1
Factor -2/3*n - 5/3*n**2 + 0 - 1/3*n**4 - 4/3*n**3.
-n*(n + 1)**2*(n + 2)/3
Let w(u) be the first derivative of -u**6/18 - u**5/15 - 6. Factor w(f).
-f**4*(f + 1)/3
Find a such that 9/4 - 3/2*a + 1/4*a**2 = 0.
3
Find y, given that -23*y**3 + 3*y**4 + 1 - 3*y - 1 + 9*y**2 + 14*y**3 = 0.
0, 1
Let m(h) be the second derivative of h**4/3 + 4*h**3 + 19*h. Factor m(x).
4*x*(x + 6)
Let l(p) be the first derivative of p**6/18 + p**5/5 + p**4/6 - 18. Determine n, given that l(n) = 0.
-2, -1, 0
Suppose 3*g - 6 = 2*k + 3, 3*k + 11 = 4*g. Let r(x) be the first derivative of 2/9*x - 2 - 2/9*x**2 - 2/45*x**g + 0*x**3 + 1/9*x**4. Factor r(z).
-2*(z - 1)**3*(z + 1)/9
Let r(m) be the second derivative of -m**5/80 - m**4/48 + m**3/12 + 19*m. Determine h so that r(h) = 0.
-2, 0, 1
Let w(i) be the third derivative of -i**5/15 + 2*i**3/3 - 14*i**2. Factor w(m).
-4*(m - 1)*(m + 1)
Let k(b) = -b**2 - b. Let n(v) = 2*v**2 + 9*v - 4. Let s(y) = 4*k(y) + n(y). Let h(z) = 2*z + z - 2*z. Let a(l) = h(l) + s(l). Solve a(q) = 0.
1, 2
Suppose 3*l - 8 = -0*s - 2*s, 12 = 4*l + 4*s. Suppose 0*q = q - l. Factor 2*c**3 - 2*c**2 + 2*c**4 - 2*c**5 + 2 - q.
-2*c**2*(c - 1)**2*(c + 1)
Let o(t) = t**3 + 3*t**2 + t + 1. Let w be o(-2). Let n(u) be the third derivative of 0*u**w + 1/180*u**5 + 0*u + 0 + 1/72*u**4 - 2*u**2. Solve n(a) = 0 for a.
-1, 0
Let v(l) = 5*l**2 + 3*l - 2. Let g(w) = 11*w**2 + 7*w - 4. Let f(u) = -4*g(u) + 9*v(u). Factor f(i).
(i - 2)*(i + 1)
Let v(p) = p**4 + 9*p**3 - 10*p**2 - 9*p. Let j be 9/5 - 2/(-10). Let o(y) = y**3 - y**2 