or 0 + 2/3*j**5 + 0*j**4 - 4/3*j**3 + l*j + 0*j**2.
2*j*(j - 1)**2*(j + 1)**2/3
Determine o, given that -5/2*o**4 + 0 - 7/2*o**3 + 0*o - 1/2*o**5 - 3/2*o**2 = 0.
-3, -1, 0
Let x(p) be the third derivative of p**9/2520 - p**8/2240 - p**7/168 - p**6/120 + p**4/4 + 11*p**2. Let z(w) be the second derivative of x(w). Factor z(i).
3*i*(i - 2)*(i + 1)*(2*i + 1)
Let b(p) be the first derivative of 0*p + 1/6*p**3 - 3/20*p**5 - 6 + 0*p**2 - 5/16*p**4. Determine u, given that b(u) = 0.
-2, 0, 1/3
Suppose s - 26 = -22. Let n(y) be the second derivative of 0*y**3 + 0*y**2 + 0 + 2*y - 9/20*y**5 - 1/2*y**s - 1/10*y**6. Factor n(k).
-3*k**2*(k + 1)*(k + 2)
Let b be ((-4)/3)/((-1)/(-3)). Let g(o) = o + 7. Let k be g(b). Suppose -l - 4*l**k + 2*l**3 + 3*l = 0. What is l?
-1, 0, 1
Let k(a) be the second derivative of -a**6/480 - 3*a**5/160 - a**4/16 + a**3/6 + 2*a. Let i(t) be the second derivative of k(t). Factor i(y).
-3*(y + 1)*(y + 2)/4
Let w(f) be the third derivative of f**7/840 - f**6/90 + f**5/40 + 2*f**3/3 - 4*f**2. Let p(c) be the first derivative of w(c). Let p(q) = 0. What is q?
0, 1, 3
Factor 2 - 2 + 42*r**3 - 46*r**3 + 12*r**2.
-4*r**2*(r - 3)
Let o(g) = 9*g**2 - 3*g. Let v(b) be the first derivative of -b**3/3 - 20. Let p be (-1 + 2)/(2 + -3). Let l(r) = p*o(r) - 6*v(r). Find t, given that l(t) = 0.
0, 1
Let l = -12 - -14. Find a such that 6*a**2 - 3*a**4 - 12*a**l - 5*a**3 - 4*a**3 = 0.
-2, -1, 0
Suppose -1 = -2*d + 5. Suppose -5*t + 2*i + 5 + 13 = 0, -4*t + d*i = -20. Suppose 2*s - 3*s**t - s - 3*s = 0. What is s?
-2/3, 0
Let i(z) = -2*z + 12. Let a be i(6). Factor -1/2*y**2 + 1/2 + a*y.
-(y - 1)*(y + 1)/2
Let v(s) be the second derivative of 2*s**6/45 - s**5/6 + s**4/6 + s**3/9 - s**2/3 - 12*s. Let v(b) = 0. Calculate b.
-1/2, 1
Let w = -115 + 118. Let p(x) be the first derivative of 2/27*x**w - 2/9*x**2 - 3 + 0*x. Factor p(b).
2*b*(b - 2)/9
Let p = -73 - -77. Let x(n) be the first derivative of 1/3*n**3 + 0*n**p - 4 + 0*n - 1/5*n**5 + 0*n**2. Find c, given that x(c) = 0.
-1, 0, 1
Let f(l) be the first derivative of -2/5*l**5 + 4 + 0*l**4 + 0*l**2 + 0*l**3 + 0*l. Find v such that f(v) = 0.
0
Let u(g) be the first derivative of -g**4 - 1. Suppose u(c) = 0. What is c?
0
Let c(f) be the third derivative of f**8/840 + 2*f**7/525 - f**6/300 - f**5/75 - 9*f**2. Suppose c(k) = 0. Calculate k.
-2, -1, 0, 1
Let w(p) = -3*p**5 + 27*p**4 - 45*p**3 + 3*p**2 - 9*p + 9. Let s(c) = -c**5 + 7*c**4 - 11*c**3 + c**2 - 2*c + 2. Let y(r) = -9*s(r) + 2*w(r). Factor y(f).
3*f**2*(f - 1)**3
Let s = -3/73 - -225/146. Suppose s*b**3 + 0 + 3/2*b + 3*b**2 = 0. What is b?
-1, 0
Suppose -t - 14 = -20. Let v(b) = -b. Let a be v(-2). Factor t*k - k**3 - 3*k**3 + a + 2*k**3 + 2.
-2*(k - 2)*(k + 1)**2
Let r(i) be the second derivative of -i**5/160 + 5*i**4/96 - 34*i. What is h in r(h) = 0?
0, 5
Let m be (-6)/(-4) - 2/4. Let g be m*3 - (-24)/(-10). Find p such that -3/5 - g*p**3 + 9/5*p**2 + 3/5*p - 6/5*p**4 = 0.
-1, 1/2, 1
Let t(l) be the first derivative of 0*l + 4 - 3/5*l**5 - 3/4*l**4 + l**3 + 3/2*l**2. Determine m so that t(m) = 0.
-1, 0, 1
Factor 8*a**3 + 5*a**3 + 6*a + 3*a - 10*a**3 - 12*a**2.
3*a*(a - 3)*(a - 1)
Suppose -4*q = -2*m - 3*q - 5, 3*m + 3*q - 15 = 0. Factor m*t + 0 - 2/11*t**2 - 4/11*t**3.
-2*t**2*(2*t + 1)/11
Let h(s) be the first derivative of 2/15*s**3 + 1/10*s**4 - 3 + 0*s - 2/25*s**5 - 1/5*s**2. Factor h(v).
-2*v*(v - 1)**2*(v + 1)/5
Let b(d) be the second derivative of -1/12*d**2 + 3*d + 0 - 1/18*d**3 - 1/72*d**4. Factor b(p).
-(p + 1)**2/6
Let p be (-40)/(-10)*1/1. Suppose -2*z**5 + 2*z**3 - 4*z**3 + 3*z**5 - 3*z**5 - 4*z**p = 0. What is z?
-1, 0
Factor 42*n**2 + 20*n + 8/3 + 49/3*n**3.
(n + 2)*(7*n + 2)**2/3
Let t(z) be the third derivative of -1/672*z**8 + 0*z**4 + 0 + 0*z + 1/360*z**5 - 1/1260*z**7 + 1/240*z**6 + 0*z**3 + z**2. Determine r, given that t(r) = 0.
-1, -1/3, 0, 1
Let s(d) be the first derivative of -4 + 1/54*d**4 - 1/540*d**5 + 0*d - d**3 - 1/1620*d**6 + 0*d**2. Let x(u) be the third derivative of s(u). Factor x(n).
-2*(n - 1)*(n + 2)/9
Let l(d) = -12*d**2 - 31*d + 36. Let j(n) = -4*n**2 - 10*n + 12. Let f(u) = 7*j(u) - 2*l(u). Factor f(r).
-4*(r - 1)*(r + 3)
Let z(d) = 5*d**2 + 8*d - 7. Let g(p) = 4*p**2 + 7*p - 6. Suppose 0 = -q - q + 10. Let v(i) = q*z(i) - 6*g(i). Factor v(a).
(a - 1)**2
Let o = 5 + -3. Suppose -3*j + o = -4. Factor -g**3 + g**2 - j + 2.
-g**2*(g - 1)
Let g(w) = -3*w + 10. Let h be g(8). Let r = -12 - h. Factor 0*u + 1/2*u**3 + 3/2*u**2 - r.
(u - 1)*(u + 2)**2/2
Let l(g) be the first derivative of g**3 - g**2/2 - 2. Let n be l(1). What is x in -n*x**3 + 0*x - 2*x + 4*x**2 + 0*x**3 = 0?
0, 1
Let a be (-126)/35 - -5 - 2/2. Factor 4/5 - a*c**2 + 2/5*c.
-2*(c - 2)*(c + 1)/5
Let m(h) be the third derivative of 1/20*h**4 - 1/100*h**6 - 1/15*h**3 + 0*h + 0 - 2*h**2 - 4/525*h**7 + 1/30*h**5. Solve m(q) = 0.
-1, 1/4, 1
Let r be (-4)/26 + (-112)/(-52). Suppose -3*y - 4*o = r, -o - 2 = y + o. Let 1/4*m**4 + 0 + 0*m**y - 1/4*m**3 + 0*m = 0. Calculate m.
0, 1
Factor 2/5 + 4/5*w**3 - 2/5*w**4 + 0*w**2 - 4/5*w.
-2*(w - 1)**3*(w + 1)/5
Suppose -58*u**3 + 3*u + 0*u + 52*u**3 + 3*u**2 = 0. Calculate u.
-1/2, 0, 1
Let k be -2 - 258/(-254) - -1. Let r = k + 123/254. Find j, given that 1/2*j - 1/2*j**2 - r*j**3 + 1/2*j**4 + 0 = 0.
-1, 0, 1
Let t(k) = -7*k**3 + 2*k**2 - 1. Let p be t(1). Let m be 69/18 - p/36. Let 1/3*z**3 - 1/3*z + 0 + 1/3*z**m - 1/3*z**2 = 0. What is z?
-1, 0, 1
Let n(a) be the second derivative of 1/5*a**5 + 2/15*a**6 - a**4 + 0 - 2/3*a**3 - 4*a + 4*a**2. Find d, given that n(d) = 0.
-2, -1, 1
Solve -12*s**5 - 6*s**5 + 14*s**5 = 0.
0
Let a(b) be the third derivative of -b**4/24 + b**3/6 + 2*b**2. Let k be a(-1). Factor 0*l**2 + 3*l - k*l**2 - 5*l + 4.
-2*(l - 1)*(l + 2)
Let d(y) = 33*y**4 - 63*y**3 - 36*y**2 + 48*y - 27. Let t(g) = 8*g**4 - 16*g**3 - 9*g**2 + 12*g - 7. Let s(a) = -4*d(a) + 15*t(a). Suppose s(q) = 0. What is q?
-1, 1/2, 1
Find q such that -10*q**2 + 6*q**3 + 2 - 6*q + 4*q**2 + 4*q**2 = 0.
-1, 1/3, 1
Let x(z) = 2*z + 2. Let u = 5 + -5. Let k be x(u). Suppose 2/5*h**4 + 2/5*h - 2/5*h**3 + 0 - 2/5*h**k = 0. What is h?
-1, 0, 1
Factor -8 - 10*j + 0 + 2 + 6*j + 2*j**2.
2*(j - 3)*(j + 1)
Let d = 131 + -128. Factor 0*v + 3/2*v**d + 0 + 0*v**2.
3*v**3/2
Let f(t) be the second derivative of t**6/15 + t**5/5 + t**4/6 - 2*t. Factor f(n).
2*n**2*(n + 1)**2
Let r(t) = -1 + t + 7 - 4 + 11. Let p be r(-11). Let 0*y - 2*y**3 + 2/5*y**p + 0 + 8/5*y**4 = 0. Calculate y.
0, 1/4, 1
Let f(c) be the second derivative of -c + 0 - 1/5*c**2 + 1/30*c**4 - 1/100*c**5 + 1/30*c**3. Solve f(a) = 0.
-1, 1, 2
Factor -12*s**4 + 17*s**5 - 16*s**4 + 3*s**5 + 8*s**3.
4*s**3*(s - 1)*(5*s - 2)
Determine x, given that -3*x**2 - 3/2 - 3/4*x**3 - 15/4*x = 0.
-2, -1
Let i = -33 + 69/2. Let m(w) = -w**3 + 6*w**2 + 6. Let r be m(6). Factor 17/2*d**2 + i*d - 1 + r*d**3.
(d + 1)*(3*d + 2)*(4*d - 1)/2
Let k(t) be the first derivative of 7 + 0*t**2 + 2/3*t**3 - 2*t. Determine g, given that k(g) = 0.
-1, 1
Factor 0*v - 12/7*v**2 + 3/7*v**3 + 0.
3*v**2*(v - 4)/7
Let b = -6 - -9. Let w be 5 + (-1 + b - 3). Factor -2*x + 3/2*x**2 + 1/2*x**w + 2*x**3 - 2.
(x - 1)*(x + 1)*(x + 2)**2/2
Let l(m) be the first derivative of -m**6/720 - m**5/120 - m**4/48 - m**3/3 + 5. Let u(o) be the third derivative of l(o). Factor u(d).
-(d + 1)**2/2
Let x(l) be the third derivative of -729*l**7/350 - 27*l**6/50 - l**5/25 - 43*l**2. Find o such that x(o) = 0.
-2/27, 0
Let i = 17 + -14. Factor 6*v**3 - v**2 - 6*v**4 + v**2 + i*v**4.
-3*v**3*(v - 2)
Let z be 0 - (-6 + 6)/5. Factor -1/4*c**5 + z*c**2 + 0*c**4 - 1/4*c + 0 + 1/2*c**3.
-c*(c - 1)**2*(c + 1)**2/4
Let r(c) be the third derivative of c**5/180 - c**4/72 - c**3/9 - 14*c**2. Let r(k) = 0. What is k?
-1, 2
Let a = -2 - -2. Suppose -m**2 - m**2 + 2 + a*m**2 = 0. What is m?
-1, 1
Factor -9/4*m - 21/4*m**3 - 3/2 + 9*m**2.
-3*(m - 1)**2*(7*m + 2)/4
Let p = -3/46 + 107/230. What is r in 0 - p*r - 7/5*r**2 - 6/5*r**3 = 0?
-2/3, -1/2, 0
Let z = 4911/5 + -5033/5. Let h = -24 - z. Factor -2/5*r**2 - h*r**4 + 0*r - 4/5*r**3 + 0.
-2*r**2*(r + 1)**2/5
Let d = 305 - 1825/6. Let a = -1/2 + d. Factor l**3 - l**2 + 0 + a*l - 1/3*l**4.
-l*(l - 1)**3/3
Let k = 15 - 15. Suppose 2/7*p**2 + 0 + k*p + 2/7*p**3 = 0. What is p?
-1, 0
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