 + 2 + 2 - 3*u**2 - u**2 - 2*u.
-2*(u - 1)*(u + 2)
Let m(a) = -6*a - 1. Let l be m(-1). Factor 23*d**4 - 3*d**l - 13*d**4 - 3*d**5 + 4*d**3.
-2*d**3*(d - 2)*(3*d + 1)
Let 4*a**3 - 4*a**5 + 5449*a**4 - 5449*a**4 = 0. What is a?
-1, 0, 1
Let a be (((-5859)/(-70))/31)/((-6)/(-10)). Suppose -1/3 - 13/6*n - 7/6*n**4 - a*n**2 - 23/6*n**3 = 0. What is n?
-1, -2/7
Let c = 2244/5 - 2208/5. Let s(n) be the first derivative of c*n**5 + 6*n + 1 + 46*n**3 - 51/2*n**2 - 129/4*n**4. Let s(p) = 0. What is p?
1/4, 1/3, 1, 2
Suppose 0 = 4*r - 6*r + 4. Suppose -3*g + 8*g - r = 2*v, -4*v = -5*g - 6. Find s, given that 2*s**2 - 10/9*s**3 + 0 - 4/9*s - 2*s**v + 14/9*s**5 = 0.
-1, 0, 2/7, 1
Factor 2*y**5 - 4*y**4 - 4*y**3 - 3*y**5 + 2*y**2 - 594 + 5*y + 596 + 0*y**3.
-(y - 1)*(y + 1)**3*(y + 2)
Let a(r) be the first derivative of -r**7/210 + r**5/10 + r**4/3 - 2*r**3 + 1. Let q(l) be the third derivative of a(l). Factor q(h).
-4*(h - 2)*(h + 1)**2
Let k(v) = 1 + 13*v + 1 - 3*v**2 - 4*v. Let h(s) = s**2 - s. Let w(u) = 5*h(u) + k(u). Factor w(l).
2*(l + 1)**2
Let b be 1 - 1 - 4/(-1). Let 2*n**b - n**2 + 2*n**3 - n**2 - n + 0*n**3 - n = 0. What is n?
-1, 0, 1
Let x = 1 - 9. Let t be x/20 + (-17)/(-5). Find n, given that -t*n**5 - 2*n**3 - 2*n**5 + n + 6*n**5 + 0*n = 0.
-1, 0, 1
Let a(k) = 5*k**3 + 3*k**2 - 2*k. Let n(o) = -5*o**3 - 2*o**2 + 2*o. Let z(b) = 5*a(b) + 6*n(b). Factor z(j).
-j*(j - 1)*(5*j + 2)
Let b(w) = -w**3 - 5*w**2 - 6*w - 4. Let i be b(-4). Factor -3*r + 3*r + 0*r - r**2 + r**i.
r**2*(r - 1)*(r + 1)
Let h(q) be the second derivative of -q**7/21 + q**6/15 + q**5/5 - q**4/3 - q**3/3 + q**2 + 12*q. Find v such that h(v) = 0.
-1, 1
Let y be 8/5 - 6/(-15). Suppose -y*p = 2*p. Let 0*l**3 + p - 1/2*l**5 + 1/2*l - l**2 + l**4 = 0. Calculate l.
-1, 0, 1
Suppose 0*d = -d + 9*d. Factor -1/3*u + 1/6*u**2 + d.
u*(u - 2)/6
Let c = 41/6 - 19/3. Factor 0 + 0*b**2 + c*b**4 - 1/4*b + 3/4*b**3.
b*(b + 1)**2*(2*b - 1)/4
Let h(c) = 5*c**5 + c**4 + 5*c**3 + 13*c**2 + 11*c. Let d(g) = 4*g**5 + 4*g**3 + 12*g**2 + 10*g. Let l(f) = 7*d(f) - 6*h(f). Solve l(b) = 0.
-2, -1, 0, 1
Suppose 4*a - k = 13, 4*k + 23 = 4*a + k. Factor -1/8*b**4 + 1/8*b**3 - 1/8*b + 0 + 1/8*b**a.
-b*(b - 1)**2*(b + 1)/8
Let u(x) be the third derivative of -64*x**8/21 - 256*x**7/105 + 8*x**5/15 + x**4/6 - 17*x**2. Factor u(w).
-4*w*(4*w - 1)*(4*w + 1)**3
Let y be 1 + 1/(-1)*11. Let x be (-19)/7 - (y - -7). Factor 0*s - 2/7 + x*s**2.
2*(s - 1)*(s + 1)/7
Let d(o) = -o**5 - o**4 - o**3 + o**2 - o - 1. Let h(f) = -25*f**5 - 73*f**4 - 85*f**3 - 35*f**2 - 10*f - 4. Let r(t) = 4*d(t) - h(t). Factor r(j).
3*j*(j + 1)**3*(7*j + 2)
Let q(x) be the second derivative of 0 + 4/9*x**3 - 2*x - 1/3*x**2 - 2/9*x**4. Factor q(p).
-2*(2*p - 1)**2/3
Suppose 0 = 3*l - 5*t - 26 + 20, 3*l + t - 6 = 0. Factor -2/5*f**3 + 1/5*f**4 + 1/5*f + 1/5*f**5 + 1/5 - 2/5*f**l.
(f - 1)**2*(f + 1)**3/5
Suppose 5*j + 8 = j. Let r be (j/3)/((-7)/21). Factor 11*u**r + 2 - 4*u**2 + 4*u + 5*u + 0*u.
(u + 1)*(7*u + 2)
Let c(s) = -s**2 - s - 59. Let h be c(0). Let n = -235/4 - h. Let -n*i**4 + 0 + 0*i - 1/4*i**2 + 1/2*i**3 = 0. Calculate i.
0, 1
Factor 0 - 4/5*g**2 - 8/5*g**4 + 2/5*g**5 + 2*g**3 + 0*g.
2*g**2*(g - 2)*(g - 1)**2/5
Let a be (-3)/(48/34) + 2. Let y = 5/8 + a. Factor y*m**2 + 0 + 0*m + 1/2*m**3.
m**2*(m + 1)/2
Solve 0*s + 2/13*s**5 + 0*s**2 + 2/13*s**4 + 0 + 0*s**3 = 0 for s.
-1, 0
Let r(c) be the third derivative of -c**5/30 - c**4/12 - 8*c**2. What is a in r(a) = 0?
-1, 0
Let -8*a + 4*a**2 + 8*a + 1 - 5*a**2 = 0. Calculate a.
-1, 1
Let q(v) = -5*v**3 - 17*v**2 + 5*v + 17. Let w(d) = -8*d**2 - 6*d**3 + 8 + 5*d + 3*d**3 + d**3 - 3*d. Let u(z) = -4*q(z) + 9*w(z). Find x such that u(x) = 0.
-1, 1, 2
Factor 4*t**2 + 43 - 43 + 8*t.
4*t*(t + 2)
Let i = -72/17 - -716/153. Factor -2/9*u**3 - i*u + 2/3*u**2 + 0.
-2*u*(u - 2)*(u - 1)/9
Let s(b) be the first derivative of 2*b**6/3 - 16*b**5/5 + b**4 + 56*b**3/3 - 40*b**2 + 32*b + 29. Let s(n) = 0. Calculate n.
-2, 1, 2
Let m(g) be the second derivative of 3/2*g**2 + 1/36*g**4 - 1/3*g**3 + 0 - 2*g. Find a such that m(a) = 0.
3
Let z(s) = -6*s**2 - 6*s. Let r(m) = -19*m**2 - 17*m. Let x(y) = 2*r(y) - 7*z(y). Let x(k) = 0. What is k?
-2, 0
Suppose -2/5 + 4/5*b**2 + 3/5*b**3 - 1/5*b = 0. Calculate b.
-1, 2/3
Let w = 6722 - 21229/3. Let k = -351 - w. Factor -k*c**3 - 8*c**2 - 6*c - 4/3.
-2*(c + 1)**2*(5*c + 2)/3
Suppose -5*c + 2*x - 48 = -578, 5*x + 191 = 2*c. Let b = -538/5 + c. Factor 0 - 2/5*z**4 + 0*z + b*z**2 + 0*z**3.
-2*z**2*(z - 1)*(z + 1)/5
Suppose -4 = -4*k + 3*k. Determine h, given that 21 - 40*h**k - 10*h**2 - h - 12*h**3 - 16*h**5 - 21 - 21*h**3 = 0.
-1, -1/4, 0
Let r be -3 + 1 + (-35)/(-75)*5. Factor r - 1/6*a**3 + 1/6*a - 1/3*a**2.
-(a - 1)*(a + 1)*(a + 2)/6
Let r(i) be the first derivative of i**5/60 - i**3/6 + 2*i**2 + 3. Let d(s) be the second derivative of r(s). Factor d(l).
(l - 1)*(l + 1)
Let d(r) = -2*r**2 - 45*r + 29. Let t be d(-23). Solve t - 6*c + 3/2*c**2 = 0.
2
Suppose 2*d + 4*l + 28 = 0, -3*d - 2*l = 9 + 17. Let o be (-1)/5 - (-7 - d). Factor 2*j**2 + o - 14/5*j.
2*(j - 1)*(5*j - 2)/5
Let c be 258/168 + 5/(-4). Determine k, given that 2/7*k**2 - 2/7*k - 2/7 + c*k**3 = 0.
-1, 1
Suppose -8 + 116 = 27*i. Determine j so that -1/3*j**5 + 1/3*j**3 + 0*j + 1/3*j**i - 1/3*j**2 + 0 = 0.
-1, 0, 1
Let b = 3 - -1. Factor -o**4 + b - 1 - 2*o + 2*o**3 - 2.
-(o - 1)**3*(o + 1)
Let q be (6/5)/(16/20). Let u = 0 + q. Factor -1 - u*y + y**2 + 3/2*y**3.
(y - 1)*(y + 1)*(3*y + 2)/2
Let a(h) be the third derivative of h**6/24 - 19*h**5/4 + 1805*h**4/8 - 34295*h**3/6 + 41*h**2. Solve a(i) = 0.
19
Let z(a) be the first derivative of 1/5*a**5 - 1/4*a**4 - 1/3*a**3 + 2 + 0*a + 0*a**2 + 1/6*a**6. Factor z(h).
h**2*(h - 1)*(h + 1)**2
Let m = 1497/5 - 299. Suppose m*n**3 + 0*n - 2/5*n**2 + 0 = 0. What is n?
0, 1
Let c(d) be the third derivative of d**6/40 + 3*d**5/10 + 9*d**4/8 + 29*d**2. Let c(w) = 0. What is w?
-3, 0
Let w be -3*1 + 1869/27. Let x = -66 + w. Factor 0*s**2 + 2/9*s**4 + 4/9*s - x - 4/9*s**3.
2*(s - 1)**3*(s + 1)/9
Let d = -96/5 + 20. Let r be (-9 + 13)/((-6)/(-3)). Factor 0 + d*z**r + 2/5*z + 2/5*z**3.
2*z*(z + 1)**2/5
Let k(j) be the third derivative of -j**9/30240 - j**8/10080 - 3*j**5/20 - 7*j**2. Let x(b) be the third derivative of k(b). Determine p, given that x(p) = 0.
-1, 0
Factor 6*v**2 + 3*v**3 - 2 - 3*v + 2 - 6.
3*(v - 1)*(v + 1)*(v + 2)
Let w(q) be the third derivative of q**6/24 + 5*q**5/4 + 105*q**4/8 + 245*q**3/6 - 7*q**2. Let w(f) = 0. Calculate f.
-7, -1
Let g(c) = c**3 - 8*c**2 + 5*c - 2. Let x be g(5). Let j be x/(-20) + (-6)/10. Factor 0*d - d**4 + 0 + 0*d**3 + 1/3*d**j + 2/3*d**5.
d**2*(d - 1)**2*(2*d + 1)/3
Let h(i) = -12*i**3 - 8*i**4 + 0*i**4 - 5*i + 4*i**4 - 10*i**4 - 10*i**2 + i**5. Let g(t) = -t**5 + t**4 + t**2 + t. Let m(v) = -4*g(v) - h(v). Solve m(d) = 0.
-1, -1/3, 0
Let b(x) be the second derivative of -x**7/21 - x**6/15 + x**5/10 + x**4/6 - 16*x. Factor b(h).
-2*h**2*(h - 1)*(h + 1)**2
Let s = 61/4 + -15. Solve -s*h**2 - 1/4*h + 1/4*h**3 + 1/4 = 0.
-1, 1
Let x(i) be the third derivative of i**8/30240 + i**7/3780 + 7*i**5/60 + 5*i**2. Let q(a) be the third derivative of x(a). Factor q(z).
2*z*(z + 2)/3
Let m(v) be the second derivative of 0 + 3/80*v**5 + 3/4*v**2 - 1/8*v**3 + 5*v - 1/8*v**4. Factor m(o).
3*(o - 2)*(o - 1)*(o + 1)/4
Let v(f) be the second derivative of f**6/90 - f**5/60 - 7*f**4/36 + 13*f**3/18 - f**2 - 37*f. Determine a so that v(a) = 0.
-3, 1, 2
Let h = 139/6 + -23. Let p(v) be the second derivative of -1/45*v**6 + 0 - h*v**4 - 1/9*v**3 + 0*v**2 + 3*v - 1/10*v**5. Factor p(k).
-2*k*(k + 1)**3/3
Let r(n) be the third derivative of -n**10/50400 + n**8/6720 - n**5/20 - 2*n**2. Let u(q) be the third derivative of r(q). Factor u(d).
-3*d**2*(d - 1)*(d + 1)
Let h(m) = m + 2. Let j be h(2). Let x(w) = -w**3 + 6*w**2 - w + 8. Let p be x(6). Factor -1 + 2*b**3 - j*b**2 - b + 0 + p + b**4 - b**5 + 2*b**2.
-(b - 1)**3*(b + 1)**2
Let k be 135/6*20/15. Let b be (-6 - -2) + k/5. What is v in -1 - 3/2*v - 1/2*v**b = 0?
-2, -1
Let i be (-315)/(-90)*(-12)/(-14). Find o such that 24*o + 6 - 75/2*o**i + 15/2*o**2 = 0.
-2/5, 1
Let x = 766/45 + -146/9. Suppose 2/5*u + 2/5*u**2 - x = 0. What is u?
-2, 1
Let g(r) be the third derivative of 5*r**8/336 