ivative of b(h). Factor w(y).
-2*y**3*(y - 1)/3
Let q be -1*5*(-28)/(-35). Let b be 0/(2 - (q + 8)). Factor b - 2/5*r**2 + 0*r.
-2*r**2/5
Let v(x) = 6*x**4 + 23*x**3 - 5*x**2 + 11*x - 11. Let p(h) = 2*h**4 + 8*h**3 - 2*h**2 + 4*h - 4. Let o(w) = -11*p(w) + 4*v(w). Factor o(j).
2*j**2*(j + 1)**2
Let b(g) = g**3 + 5*g + 2. Let a(r) be the second derivative of -r**4/12 + 2*r. Let n(t) = -4*a(t) + b(t). Let n(c) = 0. Calculate c.
-2, -1
Factor -2*l + 18*l**2 - 7*l**3 + 3*l**3 - 3*l**4 + 4*l**4 - 13*l**2.
l*(l - 2)*(l - 1)**2
Solve a**2 + 0*a - 3/2*a**3 - 5/2*a**4 + 0 = 0.
-1, 0, 2/5
Let a(y) be the third derivative of -y**5/210 - y**4/21 - 4*y**3/21 + 4*y**2. Determine v, given that a(v) = 0.
-2
Let c be -4*(-6)/(-8)*2. Let i = 11 + c. Factor -1/3*h**i + 0*h - 1/3*h**3 + 2/3*h**4 + 0 + 0*h**2.
-h**3*(h - 1)**2/3
Suppose -5*b + 6 = -3*g, 0 = -4*b - 2*g - 2*g + 24. Let s(u) be the second derivative of 0 - 1/24*u**b - 1/48*u**4 + 3*u + 0*u**2. Let s(d) = 0. What is d?
-1, 0
Let q be 2/2 + -1 + 2. Factor 5 + 3 + 0*b + 10*b + 2*b**q.
2*(b + 1)*(b + 4)
Let d = -305 + 307. Factor 2*g - 1/2*g**d - 2.
-(g - 2)**2/2
Let j be (2 + -6)/(-1) - (-30)/(-9). Let a(v) be the first derivative of -1/8*v**4 - v - 5/4*v**2 - j*v**3 + 1. Factor a(h).
-(h + 1)**2*(h + 2)/2
Let v(g) = -g**2 - 7*g - 4. Let f be v(-6). Determine u, given that 0 - 1/5*u**f + 0*u = 0.
0
Find t such that -t**3 + 4 - 9/2*t**2 + t + 1/2*t**4 = 0.
-2, -1, 1, 4
Let 0*q**2 + 2/3*q**4 + 4/3*q**3 - 2/3 - 4/3*q = 0. Calculate q.
-1, 1
Suppose 3*f + 9 = -4*c, -3*c - 6 = -2*c + 2*f. Suppose r = 3 - 1. Factor c + 1/2*i - 1/2*i**r.
-i*(i - 1)/2
Let n be -1 - (-178)/110 - (-6)/33. Factor -6/5*f**4 - n*f**3 + 4/5*f**2 + 6/5*f - 2/5*f**5 + 2/5.
-2*(f - 1)*(f + 1)**4/5
Let m = -343 + 687/2. Find j, given that -m*j**4 + 0 + 0*j + 0*j**3 + 0*j**2 = 0.
0
Factor -q**3 + 0*q + 0 - 1/2*q**4 + 1/2*q**5 + 0*q**2.
q**3*(q - 2)*(q + 1)/2
Suppose 2*v - 4*x + 12 = 0, 10*v = 11*v - x + 2. What is h in -6/5 - 3/5*h + 3/5*h**v = 0?
-1, 2
Let c = 18 - 15. Factor 8*h**c + 14*h**3 + h**4 - 21*h**3.
h**3*(h + 1)
Let z(k) be the first derivative of -2/27*k**3 + 0*k - 4 + 2/9*k**2. Suppose z(d) = 0. Calculate d.
0, 2
Let y(o) be the first derivative of o**6/4 + 9*o**5/10 - 2*o**3 + 4. Solve y(w) = 0 for w.
-2, 0, 1
Let t(w) = -w**2 + 7*w + 4. Let b be t(8). Let n be (1 - (-6)/b)/(-2). Let -1/4*r**5 + 1/4 - 1/4*r + n*r**4 + 1/2*r**3 - 1/2*r**2 = 0. What is r?
-1, 1
Factor 0 + 2/13*k**2 + 0*k.
2*k**2/13
Factor 0*s**2 - 3/2*s**4 + 3/2 - 3*s + 3*s**3.
-3*(s - 1)**3*(s + 1)/2
Let s = -114101 + 568644/5. Let a = s - -375. Factor a*u + 26/5*u**4 + 44/5*u**3 + 36/5*u**2 + 6/5*u**5 + 2/5.
2*(u + 1)**4*(3*u + 1)/5
Let u(j) be the first derivative of -4*j**5/45 + j**4/2 - 22*j**3/27 + 8*j/9 + 13. Determine v so that u(v) = 0.
-1/2, 1, 2
Suppose -3*j - 2*j = -u - 10, -4*j = -2*u - 2. Let p(g) be the second derivative of -2*g + 0*g**2 + 1/12*g**4 + 0 - 1/6*g**j. Factor p(n).
n*(n - 1)
Solve -10*k**5 + 34*k**2 + 0 - 9 + 8*k - 7 - 26*k**4 + 2*k**3 + 8 = 0.
-2, -1, 2/5, 1
Suppose 3*b + w = b + 1, b - 13 = 2*w. Suppose -4*k + 2 = 2*a - 6, b*a - 6 = -4*k. Factor k + 5*u + 1 - u + u**2.
(u + 2)**2
Let c = -10 + 12. Let b(x) be the second derivative of c*x**2 + 1/12*x**4 - 2*x - 2/3*x**3 + 0. Factor b(a).
(a - 2)**2
Factor -10*n - 4*n**2 + 3*n**3 + 0*n**3 - n**2 + 2*n**3.
5*n*(n - 2)*(n + 1)
Let h(p) be the second derivative of -p + 1/18*p**4 - 1/9*p**3 + 0*p**2 + 0. Factor h(j).
2*j*(j - 1)/3
Solve 2/7*h**2 - 6/7 + 4/7*h = 0 for h.
-3, 1
Let n(p) be the first derivative of 56*p**3/39 + p**2/13 - 4*p/13 + 8. Find z such that n(z) = 0.
-2/7, 1/4
Let u be (112/(-12))/(-2) + (-2)/3. Let j(n) be the second derivative of 1/6*n**3 - 1/6*n**u + 0*n**2 + 0 - 3/20*n**5 - n. Factor j(l).
-l*(l + 1)*(3*l - 1)
Let b(y) = y**4 - y**3 - y**2 + y - 1. Let k(s) = 5 - 4*s**4 - 7*s - s**3 + 10*s**2 + s**3 + s**3. Let f(u) = -10*b(u) - 2*k(u). Determine v so that f(v) = 0.
0, 1, 2
Let d(k) be the third derivative of -1/6*k**3 + 0*k**4 + 1/120*k**5 + 0*k + 0 + k**2 - 1/360*k**6. Let w(j) be the first derivative of d(j). Factor w(v).
-v*(v - 1)
Suppose 7*z - 18 = -2*z. Let s = -5 - -5. Factor 0*r - 1/2*r**z + s.
-r**2/2
Let o(u) be the third derivative of -u**8/30240 + u**7/2835 - u**6/1080 - u**4/8 - 5*u**2. Let l(v) be the second derivative of o(v). Factor l(c).
-2*c*(c - 3)*(c - 1)/9
Let d = -3 - 25. Let k be (-12)/(-14)*d/(-8). Factor -1/2*z**2 - 3/2*z**4 + 3/2*z**k + 0*z + 1/2*z**5 + 0.
z**2*(z - 1)**3/2
Suppose 3 = -4*z + 11. Suppose 2*v = s - z, -2*v = -2*s + 2 - 0. Factor -2*u**4 + 2/3*u**3 + s + 0*u + 4/3*u**2.
-2*u**2*(u - 1)*(3*u + 2)/3
Let a(g) = g**3 - g**2 - 1. Let n be a(2). Suppose 0 = 4*h - 5*i + i, 0 = -n*h - i + 8. Find s such that 2/9*s**4 + 2/9*s**h + 0 + 0*s - 4/9*s**3 = 0.
0, 1
Suppose k**3 - 3*k**2 + k**3 - 8*k - 4 + 255*k**4 - 254*k**4 = 0. Calculate k.
-2, -1, 2
Let w be 6*4*1/6. Find g, given that 3*g + 3*g**5 + 2*g**w - 4*g**5 - 2*g - 2*g**2 + 0*g = 0.
-1, 0, 1
Suppose -33 - 15 = 4*k. Let v be (-4)/42 + k/(-28). Factor u + u**2 + v*u**3 + 1/3.
(u + 1)**3/3
Let c(h) = -31*h**4 - 172*h**3 - 356*h**2 - 292*h - 52. Let i(p) = 30*p**4 + 171*p**3 + 357*p**2 + 291*p + 51. Let x(l) = 3*c(l) + 4*i(l). Factor x(a).
3*(a + 2)**3*(9*a + 2)
Let w be (1 - 0)*2/(-1)*-1. Factor -1/3 - 1/6*d**w - 1/2*d.
-(d + 1)*(d + 2)/6
Let j be (-72)/27*6/(-4). Suppose 8 = j*b - 0. Let 0 + 0*u**3 + 2/3*u**b - 2/3*u**4 + 0*u = 0. What is u?
-1, 0, 1
Let n = 6 - 5. Suppose 2*m = -2*s - 1 + 7, 2*m - 2*s - 2 = 0. Let -3*f + n - 7/4*f**m = 0. Calculate f.
-2, 2/7
Factor 0 + 0*g - 3/4*g**4 - 3/2*g**3 - 3/4*g**2.
-3*g**2*(g + 1)**2/4
Let o(x) be the second derivative of -5*x**4/6 - 23*x**3/12 - 3*x**2/2 + 29*x. Suppose o(r) = 0. Calculate r.
-3/4, -2/5
Let l(m) be the second derivative of -1/20*m**5 + 0*m**2 + 2*m - 1/9*m**3 + 0 - 5/36*m**4. Factor l(v).
-v*(v + 1)*(3*v + 2)/3
Let h = 17 - 15. Suppose -5*o = -h*x + 24, 3*x + o + 10 = -3*o. Solve g + 2/3 - 2*g**3 + g**5 - 4/3*g**x + 2/3*g**4 = 0 for g.
-1, -2/3, 1
Let t = -16 - -20. Let h(v) be the first derivative of 8*v - 6/5*v**5 - 4*v**t + 8*v**2 - 2/3*v**3 + 3. Determine w so that h(w) = 0.
-2, -1, -2/3, 1
Let a(c) be the third derivative of 3*c**2 + 1/180*c**5 + 0*c**3 + 0 + 0*c**4 + 1/180*c**6 + 1/630*c**7 + 0*c. Factor a(v).
v**2*(v + 1)**2/3
Let p(v) = -v - 3. Let n be p(-6). Let h = -12 + 12. Factor 1/3*c**2 + 0*c - 1/3*c**n + h.
-c**2*(c - 1)/3
Let i(c) = c**2 + 14*c + 13. Let o be i(-13). Determine w so that o*w**3 + 0*w + 1/4*w**2 - 1/4*w**4 + 0 = 0.
-1, 0, 1
Suppose v = 2*g - 2, 5*v - 10 = -4*g - 20. Find j such that 1/3*j**3 + 0*j**2 + 0 + g*j + 1/3*j**4 = 0.
-1, 0
Suppose 12 = 2*q + 2*q. Suppose -q - 11 = -4*x + 3*p, 3*x - 10 = 2*p. Factor 4/3*w + 4/3 + 1/3*w**x.
(w + 2)**2/3
Solve g**2 - 6*g + 3*g**2 - 2*g + 4*g**3 = 0 for g.
-2, 0, 1
Let c = 9 + -7. Let b be c/4*20/25. Find x such that 4/5*x - 2/5 - b*x**2 = 0.
1
Let b(a) be the first derivative of -2*a**3/3 + a**2 + 4*a + 5. Factor b(x).
-2*(x - 2)*(x + 1)
Factor -6*g**2 + 6/5*g**3 + 6 - 6/5*g.
6*(g - 5)*(g - 1)*(g + 1)/5
Let g(v) be the first derivative of -2*v**4 - 20*v**3/3 - 8*v**2 - 4*v - 6. Factor g(m).
-4*(m + 1)**2*(2*m + 1)
Let 1/2*k**2 - 1/3*k + 0 = 0. Calculate k.
0, 2/3
Let m = 3 - 4. Let x = 7 + m. Find w such that w**3 + 6*w**2 + x*w + w**3 + 0 + 2 = 0.
-1
Let i(d) be the second derivative of -d**8/3360 - d**7/252 - d**6/45 - d**5/15 + d**4/6 + d. Let t(n) be the third derivative of i(n). Factor t(f).
-2*(f + 1)*(f + 2)**2
Let k(n) = -2*n**3 - n**2 - 2*n. Let y(q) = -5*q**3 - 3*q**2 - 5*q. Let o(h) = -7*k(h) + 3*y(h). Factor o(a).
-a*(a + 1)**2
Let p = -342 - -8209/24. Let a(r) be the third derivative of 0*r**4 - 4*r**2 + p*r**3 + 0*r + 0 - 1/240*r**5. Factor a(i).
-(i - 1)*(i + 1)/4
Let u(j) = 6*j**3 - 6*j**2 - 7*j + 3. Let n(l) = -5*l**3 + 6*l**2 + 7*l - 2. Let z(m) = 5*n(m) + 4*u(m). Let x be z(7). Factor -12 - p**x - 2*p + 12.
-p*(p + 2)
Suppose -13*x**4 - 6*x**2 + 6*x**4 + x**4 - 8*x**3 + 4*x**4 = 0. Calculate x.
-3, -1, 0
Let -28*f**2 + 28*f**3 - 8*f**4 - 17*f + 46*f - 21*f = 0. Calculate f.
0, 1/2, 1, 2
Suppose 0 = -5*f + 5 + 5. Factor 3*p**2 + 15 - 4*p**f - 14.
-(p - 1)*(p + 1)
Let q be 16/(-2)*(-3)/8. Let c(f) be the second derivativ