derivative of 0*o + 0*o**4 + 32 - o**2 + 1/5*o**5 - o**3. Factor w(s).
s*(s - 2)*(s + 1)**2
Let y(i) = i**5 + i**4 - i**3. Let t(m) = -127*m**5 + 289*m**4 + 7*m**3 - 122*m**2 - 42*m - 4. Let g(v) = -t(v) + y(v). Factor g(d).
2*(d - 2)*(d - 1)*(4*d + 1)**3
Suppose -29*j + 4 = -25*j - 4*h, h - 8 = -2*j. Factor 9/7*c**2 + 0 + 0*c - 3/7*c**j.
-3*c**2*(c - 3)/7
Let x(w) be the third derivative of -w**5/160 - w**4/32 + 15*w**3/16 - 58*w**2 + 2*w. Factor x(b).
-3*(b - 3)*(b + 5)/8
Let c be (-7 + 4)/(6/(-8)). Let -34*o**4 - 5*o**3 + o + o + 3*o**3 - 1 + 35*o**c = 0. Calculate o.
-1, 1
Let x(v) = -v + 1. Let n(m) = 5*m**2 - 84*m + 79. Let l(h) = n(h) + x(h). Factor l(b).
5*(b - 16)*(b - 1)
Let y(a) = -29*a**5 + 5*a**4 - 17*a. Let f(x) be the first derivative of 5*x**6/3 - 2*x**5/5 + 3*x**2 - 23. Let v(h) = -17*f(h) - 6*y(h). Factor v(z).
4*z**4*(z + 1)
Let u(h) be the first derivative of -7/8*h**4 + h - 1/2*h**5 + 27 + 1/2*h**3 + 7/4*h**2. Find o such that u(o) = 0.
-1, -2/5, 1
Suppose -8/7*l + 16/7*l**2 - 4/7*l**4 + 0 + 2/7*l**5 - 6/7*l**3 = 0. Calculate l.
-2, 0, 1, 2
Let d(o) = -o**3 - o - 1. Let p(h) = -4 + 28*h**3 + 364*h**2 - 344*h**2 + 3*h + 20*h**4 + 2 + 5*h**5. Let j(k) = -2*d(k) + p(k). Determine b so that j(b) = 0.
-1, 0
Let c(x) = -x**2 + 6*x - 3. Suppose -7*z + 16 = -19. Let o(u) = -u**2 + 12*u - 5. Let a(s) = z*c(s) - 3*o(s). Determine f so that a(f) = 0.
-3, 0
Find x such that 46/17*x + 2/17*x**3 - 22/17 - 26/17*x**2 = 0.
1, 11
Let o(f) be the second derivative of 5/4*f**2 + 0 - 7*f + 1/2*f**3 + 1/24*f**4. Let o(y) = 0. What is y?
-5, -1
Suppose 8*i - 32 = 4*i. Factor i*c**2 + 0*c**2 + 6*c - 11*c**2.
-3*c*(c - 2)
Let r(z) be the third derivative of z**6/80 - z**4/4 + z**2 - 9*z. Factor r(w).
3*w*(w - 2)*(w + 2)/2
Let s(f) = 3*f + 1. Let o(a) = 5*a**3 + 65*a**2 + 262*a + 394. Let u(w) = -o(w) - 6*s(w). Determine y, given that u(y) = 0.
-5, -4
Let v = 76011 + -76008. Let g be 1/28 - 1/(-4). Determine c so that -4/7*c**2 - 2/7*c**v + g*c + 4/7 = 0.
-2, -1, 1
Let c be 9/270*-15 + (-3)/(-6)*5. Factor -2/5*i**3 - 4/5*i**c + 6/5*i + 0.
-2*i*(i - 1)*(i + 3)/5
Let o(i) be the third derivative of -i**8/10080 + i**6/360 - 5*i**5/12 - 30*i**2. Let r(x) be the third derivative of o(x). Find g, given that r(g) = 0.
-1, 1
Suppose -2*k + 2 = t - 8, t = 5*k - 18. Let 3*s**2 - 10*s - 20*s**3 - k*s**4 - s**4 - 28*s**2 = 0. Calculate s.
-2, -1, 0
Let u(s) be the first derivative of s**5/150 - s**4/90 - s**3/45 + s**2/15 - 13*s + 10. Let n(c) be the first derivative of u(c). Factor n(x).
2*(x - 1)**2*(x + 1)/15
Let c = -76/913 - -22/83. Factor -6/11*z**3 + 0 + c*z**2 + 4/11*z.
-2*z*(z - 1)*(3*z + 2)/11
Let b be (-92)/(-14) + 48/(-84) - 3. Solve -1/7*t + 2/7 + 1/7*t**b - 2/7*t**2 = 0 for t.
-1, 1, 2
Let y be 100/(-6 - (-52)/8). Let q = y + -194. Determine u, given that -1/4*u**5 - 8*u**2 + 0 - q*u**3 - 4*u - 2*u**4 = 0.
-2, 0
Find g, given that 2/5*g - 2*g**2 + 2 - 2/5*g**3 = 0.
-5, -1, 1
Let h(t) be the third derivative of 0*t**4 + 0*t - 20*t**2 + 1/24*t**6 + 0*t**3 + 0 + 1/6*t**5. Factor h(s).
5*s**2*(s + 2)
Factor 1/6*c + 1/6*c**3 - 1/3*c**2 + 0.
c*(c - 1)**2/6
Suppose 2*q - 3*i - 9 = 0, -3*i = -3*q + 2 + 10. Factor 10 - 6*x**q + 5*x - 7*x**3 - 20*x**2 - 3*x**3 + x**3.
-5*(x + 1)**2*(3*x - 2)
Let 0 - 10/3*s + 5/3*s**2 = 0. What is s?
0, 2
Let t(f) = 6*f**3 + 37*f**2 - 105*f + 35. Let j(c) = -12*c**3 - 73*c**2 + 211*c - 69. Let q(r) = 3*j(r) + 5*t(r). Find w such that q(w) = 0.
-8, 1/3, 2
Let v(o) = o**2 + o - 1. Let m(q) = 7*q**2 - 309*q + 6081. Let z(b) = m(b) - 3*v(b). Determine g so that z(g) = 0.
39
Let b(a) = -19*a**3 + 6*a**2 + 13*a + 6. Let j(z) = -54*z**3 + 18*z**2 + 38*z + 17. Let o(l) = -17*b(l) + 6*j(l). Let o(s) = 0. Calculate s.
-1, 0, 7
Let t(b) be the third derivative of -12*b**2 + 0 - 1/210*b**5 - 1/84*b**4 + 0*b - 1/245*b**7 + 1/84*b**6 + 0*b**3. Find a such that t(a) = 0.
-1/3, 0, 1
Let v = 241/3 - 79. Suppose 10*t = -32 + 32. Let 0*x + v*x**2 - 2/3*x**3 + t = 0. Calculate x.
0, 2
Let t(w) = 10*w**4 + 20*w**3 + 24*w**2 - 8*w + 2. Let d(l) = l**2 - l**3 + 30*l - 60*l + 29*l + 1. Let q(v) = 6*d(v) - t(v). Determine b so that q(b) = 0.
-1, 2/5
Suppose 2*k + 2*g = 4*g + 24, -2*g = -5*k + 45. Let o be (3*(-2)/(-9))/(5/k). What is i in -o*i**5 + 2/5*i + 4/15 - 28/15*i**2 + 8/5*i**4 + 8/15*i**3 = 0?
-1, -2/7, 1
Let o(i) = i**2 - 6*i + 7. Suppose 3*k - 15 = 3*r, 2*k - 5*r - 4 = -0*k. Let v be o(k). Factor 1 - 8*u**3 - 2 - 4*u + 0*u**3 + 3 - v*u**2.
-2*(u + 1)**2*(4*u - 1)
Let j(c) be the third derivative of 5*c**8/336 + c**7/7 + 13*c**6/24 + c**5 + 5*c**4/6 - 96*c**2. Factor j(o).
5*o*(o + 1)**2*(o + 2)**2
Let x(r) be the first derivative of r**6/540 - r**5/540 - r**4/54 + 35*r**3/3 + 27. Let m(c) be the third derivative of x(c). Find i, given that m(i) = 0.
-2/3, 1
Let x(w) be the second derivative of 0 + 1/80*w**5 + 1/16*w**4 + 1/8*w**3 - 4*w - 3*w**2. Let v(a) be the first derivative of x(a). Factor v(n).
3*(n + 1)**2/4
Let d = 11 - 7. Let y be (-16)/12*(-6)/d. Factor 4 + 3*o**y - o**3 - 12*o**3 + 4*o + 5*o**3 + 4*o**4 - 11*o**2 + 4*o**5.
4*(o - 1)**2*(o + 1)**3
Suppose -2*h = 5*t - 10, 4*t - 3 + 8 = h. Let j(i) be the third derivative of 1/120*i**6 + 0*i + t*i**3 + i**2 + 0 + 1/60*i**5 + 0*i**4. Factor j(k).
k**2*(k + 1)
Let h = 238/37 + -1518/259. Factor 0 + 8/7*r + 20/7*r**2 + h*r**4 + 16/7*r**3.
4*r*(r + 1)**2*(r + 2)/7
Let y(g) be the first derivative of g**4/28 + 5*g**3/7 + 36*g**2/7 + 16*g + 243. Factor y(r).
(r + 4)**2*(r + 7)/7
Suppose -16 = -t - 3*o, -4*o = 3*t + 2*t - 47. Factor t*p**2 - 3*p**2 + 12 - 52 - 12*p + 24.
4*(p - 4)*(p + 1)
Factor -316*u - 12482 - 31*u**2 - 30*u**2 + 78*u**2 - 19*u**2.
-2*(u + 79)**2
Let r(z) = z**3 - 6*z**2 + 3*z + 12. Let a = 31 - 26. Let x be r(a). Factor 2*k + 1/2*k**x + 2.
(k + 2)**2/2
Let i = 50 + -48. Find z such that 2*z**2 - 2*z**2 + 3*z - 3*z**i + 0*z**2 = 0.
0, 1
Suppose 136/7 - 60/7*c - 4/7*c**2 = 0. What is c?
-17, 2
Let w(z) = -6*z - 26. Let m be w(-5). Let t(h) be the second derivative of 0*h**3 - 5*h - 4*h**2 + 0 + 1/6*h**m. Determine r, given that t(r) = 0.
-2, 2
Let m be (-570)/(-350) + (-2)/10*1. Suppose 8/7 - 16/7*n - m*n**2 = 0. What is n?
-2, 2/5
Let c(w) be the third derivative of 1/1440*w**6 - w**3 + 0*w + 1/480*w**5 + 0 + 0*w**4 - 2*w**2. Let l(a) be the first derivative of c(a). Factor l(z).
z*(z + 1)/4
Let z(i) = i**3 + i**2 + i. Let v(x) = -7*x**3 + 76*x**2 - 1687*x. Let p(c) = v(c) + 6*z(c). Find m such that p(m) = 0.
0, 41
Let r = 256 - 253. Let h(y) be the first derivative of 4/13*y + 20/39*y**r + 9/13*y**2 + 3/26*y**4 + 1. Find m, given that h(m) = 0.
-2, -1, -1/3
Let a(t) be the third derivative of -t**6/10 - 31*t**5/4 + 39*t**4/8 - 332*t**2. What is i in a(i) = 0?
-39, 0, 1/4
Suppose 86*p + 20 - 186 = 6. Factor -2/7*b**3 + 2/7*b + 0 + 0*b**p.
-2*b*(b - 1)*(b + 1)/7
Factor 49*t + 1/3*t**2 + 0.
t*(t + 147)/3
Let a(g) = -2 + 1 + 8*g**2 - 6*g**2 + g - 3*g**2. Let s(n) = -3*n**2 - 3*n - 1. Let y(j) = a(j) - s(j). Find f, given that y(f) = 0.
-2, 0
Let z(h) = h**2 - 4*h + 6. Let s be z(3). Factor -16 + 12*i**2 + 15*i + 3*i**2 + 5*i**s + 21.
5*(i + 1)**3
Let k(s) be the first derivative of 4*s**5/5 + 2*s**4 - 87. Factor k(d).
4*d**3*(d + 2)
Factor 2/19*r**2 + 4050/19 - 180/19*r.
2*(r - 45)**2/19
Let w be (-16)/(-66)*2 - (-46)/253. What is a in 4/3*a**2 - w*a**3 + 0*a + 0 = 0?
0, 2
Let n(x) be the second derivative of -x**7/9 + 8*x**6/9 - 17*x**5/10 - x**4 + 175*x - 1. Factor n(m).
-2*m**2*(m - 3)**2*(7*m + 2)/3
Suppose -4*s = -11 - 13. Let w(u) be the first derivative of -9 + 3/28*u**4 + 3/35*u**5 - 1/14*u**s + 0*u**2 - 1/7*u**3 + 0*u. Let w(j) = 0. What is j?
-1, 0, 1
Let w be (-3)/(((-20)/8)/1*2). Determine q, given that 6/5*q**2 + 0 + 0*q - 6/5*q**4 + w*q**5 - 3/5*q**3 = 0.
-1, 0, 1, 2
Let b be 4/18 - 122/36*-2. Let i = b - 20/3. Factor 1/3*f**2 - i + 1/3*f**3 - 1/3*f.
(f - 1)*(f + 1)**2/3
Let z(g) be the first derivative of 2/33*g**3 - 4/11*g**2 + 6/11*g + 9. Factor z(u).
2*(u - 3)*(u - 1)/11
Let b = 161 + -158. Suppose 5*u - 5 = 4*k, -3*k - 5*u - b = -8*u. Factor 0 + k*q + 4/3*q**3 - 2/3*q**2 - 2/3*q**4.
-2*q**2*(q - 1)**2/3
Find c, given that 5/3 - 4*c + 3/4*c**2 + 9/4*c**3 = 0.
-5/3, 2/3
Let v(x) be the third derivative of -x**6/30 + x**5/6 + x**4/4 + 4*x**2 + 34*x. 