**4 + 0*j. Factor q(g).
(g + 3)**3/2
Let m(t) = -3*t**4 + t**3 + t**2 - 3*t + 2. Let l(u) = u**4 + u - 1. Let v(b) = -2*l(b) - m(b). Factor v(n).
n*(n - 1)**2*(n + 1)
Let l = -50399/60 + 840. Let u(q) be the second derivative of -q - l*q**6 + 0*q**3 - 1/24*q**4 + 1/20*q**5 + 0*q**2 + 0. Factor u(t).
-t**2*(t - 1)**2/2
Let z(o) be the first derivative of 3*o**5/10 - 3*o**4/4 + 3*o**2/2 - 3*o/2 - 7. Factor z(r).
3*(r - 1)**3*(r + 1)/2
Let l(g) be the first derivative of g**4/4 - g**3 + g**2 + 2*g + 7. Let n be l(2). Factor 0 - 2*c**n + 10/3*c**3 - 4/3*c.
2*c*(c - 1)*(5*c + 2)/3
Let v(t) be the first derivative of t**7/168 - t**6/40 + 3*t**5/80 - t**4/48 + 3*t - 3. Let p(s) be the first derivative of v(s). Let p(y) = 0. What is y?
0, 1
Let p be 2 - (0 - -4*(-4)/(-8)). Let x(f) be the second derivative of 0*f**2 - 1/66*f**4 + p + 1/33*f**3 + f. Factor x(v).
-2*v*(v - 1)/11
Let z be 14/8 - (-30)/24. Factor -3/2*u**2 + 0 + 9/4*u**z + 0*u.
3*u**2*(3*u - 2)/4
Suppose -d + 12 = 6. Let v(f) be the third derivative of 1/240*f**d + 1/60*f**5 + 0 + 0*f**3 + 0*f + 1/48*f**4 - 3*f**2. Factor v(h).
h*(h + 1)**2/2
Let t(b) be the second derivative of b**5/60 + b**4/12 + b**3/6 - 2*b**2 + 3*b. Let v(h) be the first derivative of t(h). Factor v(d).
(d + 1)**2
Let j(t) be the first derivative of 2*t**3/27 - 2*t/9 + 12. Find p such that j(p) = 0.
-1, 1
Let j = 0 + 0. Let s(f) be the first derivative of 0*f**2 + 1 + 1/5*f**5 + 1/4*f**4 + j*f + 0*f**3. Determine v, given that s(v) = 0.
-1, 0
Solve -1/3*w**4 - 1/3 + 1/3*w**5 - 2/3*w**3 + 2/3*w**2 + 1/3*w = 0.
-1, 1
Let k(u) be the third derivative of -u**7/1260 - u**6/270 + u**5/45 + u**4/6 - u**2. Let w(h) be the second derivative of k(h). Suppose w(b) = 0. Calculate b.
-2, 2/3
Let m = 5 - 3. Factor m*w + 0*w + 2*w**2 + 1 + 5 - 10.
2*(w - 1)*(w + 2)
Let q(h) be the first derivative of -h**3/3 + 4*h**2 + 3*h + 1. Let l be q(8). Solve -3*i**l + i**4 + i**2 + 3*i**3 + 2*i**3 = 0 for i.
-1, 0
Let a(v) be the second derivative of v**4/30 + 2*v**3/15 - v. Solve a(h) = 0.
-2, 0
Let y be (13/2)/(2/(-8)). Let k = -15 + 21. Let f(l) = -41*l**2 + 7*l + 21. Let n(o) = -10*o**2 + 2*o + 5. Let g(u) = k*f(u) + y*n(u). Factor g(q).
2*(q - 1)*(7*q + 2)
Solve 4*p**2 + p**3 - 15*p**2 - 4*p**4 - 13*p**3 + 3*p**2 = 0 for p.
-2, -1, 0
Let v(n) be the third derivative of 0*n + 0 + 1/60*n**5 + 0*n**3 + 1/72*n**4 - 1/90*n**6 - n**2. Suppose v(b) = 0. What is b?
-1/4, 0, 1
Let x(u) = -u**3 - 3*u**2 + u - 5. Let d be x(-4). Let y = d - 4. Let 22*c**y + 3*c**2 + 16*c**3 - 2*c - 2*c**2 - 10*c**3 = 0. What is c?
-2/7, 0, 1/4
Factor 3*i + 4 - 36*i**3 + 3*i + 34*i**3.
-2*(i - 2)*(i + 1)**2
Determine j, given that -2/3*j**3 + 16/3 + 8/3*j - 4/3*j**2 = 0.
-2, 2
Let h(l) be the first derivative of -l**2 - 1/2*l + 1/6*l**3 - 3 + 1/2*l**4. Determine f so that h(f) = 0.
-1, -1/4, 1
Factor -1/4*q**2 + 0*q + 1/4.
-(q - 1)*(q + 1)/4
Let 4/9*v**4 + 0 - 14/9*v**3 + 0*v + 2/9*v**5 + 8/9*v**2 = 0. Calculate v.
-4, 0, 1
Factor 2/13*j + 4/13 - 2/13*j**2.
-2*(j - 2)*(j + 1)/13
Let m(r) = r**2 - r - 6. Let g be m(3). Find u such that -1/4*u**2 + g + 0*u - 1/4*u**3 = 0.
-1, 0
Suppose 9 = 4*a - a. Let y(d) = -d**2 - 4*d + 5. Let s be 2*2 - (-6 + 6). Let g(q) = q**2 + 3*q - 4. Let f(b) = a*y(b) + s*g(b). Factor f(z).
(z - 1)*(z + 1)
Let y(p) be the second derivative of 0*p**2 + 0*p**3 - 3*p - 1/110*p**5 + 1/66*p**4 + 0. Find g such that y(g) = 0.
0, 1
Suppose 4*g + s = 5, -s + 8 = 5*g + 2*s. Factor -3 - 6*w - w**2 - 3*w**2 + g.
-2*(w + 1)*(2*w + 1)
Find r such that -2/11*r**4 + 2/11 + 4/11*r**3 - 4/11*r + 0*r**2 = 0.
-1, 1
Let a(c) be the second derivative of c**8/1680 - c**6/180 + c**4/24 + c**3/2 - 4*c. Let o(n) be the second derivative of a(n). Determine s, given that o(s) = 0.
-1, 1
Let n(f) = f**4 - f**2 + 1. Suppose 0*b = b + 2. Let r(k) = -k**4 + k**2 - 2. Suppose 0 = -i - 1. Let t(w) = b*n(w) + i*r(w). Factor t(d).
-d**2*(d - 1)*(d + 1)
Let l = 10 - 6. Let w = -4 + l. Find n, given that n + n**4 + n - 2*n**3 - 1 + w*n**3 = 0.
-1, 1
Let v be 1/((5/(-25))/(4/(-10))). Suppose 1/3*z - 2/3 + 1/3*z**v = 0. Calculate z.
-2, 1
Suppose 4*d = -2*d + 30. Factor 0*n - 1/2*n**d + 0 + 1/2*n**3 + 1/2*n**2 - 1/2*n**4.
-n**2*(n - 1)*(n + 1)**2/2
Let u(z) be the third derivative of -z**8/112 - 3*z**7/70 - 3*z**6/40 - z**5/20 - 25*z**2. Factor u(r).
-3*r**2*(r + 1)**3
Let r(u) = u + 23. Let x be r(-19). Let w(p) be the second derivative of 1/18*p**4 + 0 + 0*p**3 + x*p + 0*p**2. Solve w(y) = 0 for y.
0
Suppose 0 = -4*h + 13 - 5. Let n be 55/20 + h/8. Factor g**2 - 2*g**2 - 2*g**2 + g + 3*g**n - g**4.
-g*(g - 1)**3
Let u(a) be the third derivative of -5*a**8/336 - a**7/70 + a**6/60 + 8*a**2. Determine t, given that u(t) = 0.
-1, 0, 2/5
Let t = -36/7 + 243/35. What is y in -3/5*y**2 + 21/5*y - 21/5*y**3 - 6/5 + t*y**4 = 0?
-1, 1/3, 1, 2
Let z = -5 + 7. Suppose 5*w + 4*o - 4 = 9, -4*w = -z*o - 26. Factor -3*j**5 - w*j**3 + 5*j**5 + 3*j**3.
2*j**3*(j - 1)*(j + 1)
Let r(b) = b**4 - 3*b**3 - 10*b**2 + 8. Let a(h) = 3*h**4 - 8*h**3 - 29*h**2 - h + 24. Let s(l) = 4*a(l) - 11*r(l). Solve s(w) = 0.
-2, 1, 2
Let b(w) = -2*w**4 + 4*w**3 + 2*w**2 - 2*w. Let g(x) = -4*x**4 + 9*x**3 + 5*x**2 - 5*x. Let j(y) = -5*b(y) + 2*g(y). Find c, given that j(c) = 0.
0, 1
Let x be (-3)/(-6) + 6/4. Factor g - g**2 - g + g + 3*g**4 - g**3 - x*g**4.
g*(g - 1)**2*(g + 1)
What is r in -r**5 + 15*r**4 - 6*r**3 + 2*r**2 - 17*r**4 + 3*r**5 + 4*r = 0?
-1, 0, 1, 2
Let k be 1 + -1*(3 + -9). Suppose -4*f**2 - 3*f**4 - 2 + 2 + k*f**4 - 4*f**3 + 4*f**5 = 0. Calculate f.
-1, 0, 1
Let i be (-1782)/(-726) - (0 - -1). What is k in 12/11 - 38/11*k + i*k**2 + 10/11*k**3 = 0?
-3, 2/5, 1
Let q(l) = 8*l**5 + 11*l**4 - 24*l**3 - 5*l**2 + 5. Let z(h) = 4*h**5 + 5*h**4 - 12*h**3 - 3*h**2 + 3. Let d(b) = -3*q(b) + 5*z(b). Factor d(w).
-4*w**3*(w - 1)*(w + 3)
Factor -2/7*a + 16/7*a**2 - 10/7*a**3 - 4/7.
-2*(a - 1)**2*(5*a + 2)/7
Let v(o) be the second derivative of 5*o**6/3 - 2*o**5 + 2*o**4/3 + 2*o. Factor v(u).
2*u**2*(5*u - 2)**2
Let 0*b**3 - 2/9*b + 0 + 4/9*b**2 - 4/9*b**4 + 2/9*b**5 = 0. Calculate b.
-1, 0, 1
Let n(p) be the first derivative of 0*p + 0*p**3 + 0*p**2 - 2 - 2/7*p**4 - 3/7*p**6 - 24/35*p**5. Determine f, given that n(f) = 0.
-2/3, 0
What is f in 47*f**2 - 46*f**2 - 2*f + 10*f + 7 = 0?
-7, -1
Let q(b) be the second derivative of b**8/6720 - b**7/1260 + b**6/720 + b**4/4 - 6*b. Let y(v) be the third derivative of q(v). Factor y(u).
u*(u - 1)**2
Let w be 8/6 - (-10)/15. Solve 0 + 14/3*o**3 + 4/3*o**w + 0*o = 0.
-2/7, 0
Let q be 6/4 - (-1 + 0). Let j(n) = 2*n**2 - 21*n + 12. Let b be j(10). Factor -4*o**b + q*o**3 + 1 + 1/2*o.
(o - 1)**2*(5*o + 2)/2
Let f be 0 - (-3)/(-7) - 256/(-336). Let o(m) be the first derivative of -3 - 4/15*m**5 - 4/3*m - 11/12*m**4 + 8/3*m**2 + f*m**3. Solve o(t) = 0.
-2, 1/4, 1
Find s, given that -2/5*s**2 + 4*s + 2/5 - 4*s**3 = 0.
-1, -1/10, 1
Let m(w) be the first derivative of w**6/4 + 3*w**5/5 - 3*w**4/4 - 4*w**3 - 21*w**2/4 - 3*w - 13. Let m(p) = 0. Calculate p.
-1, 2
Factor 0*x + 0 - 3/5*x**5 + 3/5*x**3 + 3/5*x**2 - 3/5*x**4.
-3*x**2*(x - 1)*(x + 1)**2/5
Let x(o) be the second derivative of o**7/840 + o**6/180 + o**5/120 + o**3/2 + 2*o. Let y(i) be the second derivative of x(i). Solve y(f) = 0 for f.
-1, 0
Let u(x) = x**2 - x. Let b(s) = -2*s - 1. Let r be b(-2). Suppose 5*k + 2 = r*k. Let w(m) = -2*m + 2. Let l(o) = k*w(o) - 2*u(o). Solve l(d) = 0.
1
Suppose -2/9*g**3 - 2/9*g**2 + 4/9*g + 0 = 0. Calculate g.
-2, 0, 1
Factor -2*d - 12*d**2 + 5*d**2 + 1 + 8*d**2.
(d - 1)**2
Let m(i) be the third derivative of -i**8/392 - i**7/105 - i**6/210 + i**5/35 + 5*i**4/84 + i**3/21 + 5*i**2. Solve m(b) = 0 for b.
-1, -1/3, 1
Let t(l) be the second derivative of 10*l**7/21 + 3*l**6/2 + 3*l**5/2 + 5*l**4/12 - 11*l. Factor t(v).
5*v**2*(v + 1)**2*(4*v + 1)
Suppose 22*a**3 - 10*a + 6 - 20*a**3 + 4*a**2 + 4*a**2 - 6*a**2 = 0. What is a?
-3, 1
Let r = 31 + -31. Suppose 3*f - 2 - 10 = r. Factor 0*i - 1/6*i**f - 1/6*i**5 + 0 + 0*i**3 + 0*i**2.
-i**4*(i + 1)/6
Let f be 4 + (-2095)/525 + 0. Let j(p) be the third derivative of f*p**7 + 1/6*p**4 - 1/30*p**5 + 0 - 1/30*p**6 + 2*p**2 + 0*p**3 + 0*p. Solve j(l) = 0.
-1, 0, 1, 2
Let x be 22 - 17 - (4 + -1). Suppose -3*l - 1/2*l**x - 9/2 = 0. What is l?
-3
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