*g*(g - 2)
Let k(n) be the third derivative of n**8/336 - n**7/105 + n**5/30 - n**4/24 - 60*n**2. Factor k(i).
i*(i - 1)**3*(i + 1)
Let b(m) = 2*m**5 + m**4 - m**3 + m**2. Let h(n) = 188*n**5 - 610*n**4 + 940*n**3 - 698*n**2 + 258*n - 36. Let g(i) = 14*b(i) - h(i). Solve g(y) = 0.
2/5, 3/4, 1
Let a(y) = 4*y**4 - 9*y**3 + y**2 + 4*y - 5. Let f(x) = 4*x**4 - 8*x**3 + 4*x - 4. Let v = 13 + 2. Suppose 4*d = d + v. Let k(t) = d*f(t) - 4*a(t). Factor k(u).
4*u*(u - 1)**2*(u + 1)
Let n(q) be the second derivative of q**8/9240 - q**6/1980 + 7*q**3/2 + 12*q. Let f(h) be the second derivative of n(h). Factor f(j).
2*j**2*(j - 1)*(j + 1)/11
Let r = -3750 - -3750. Determine a, given that 3/5*a**5 + r - 2/5*a**4 + 0*a - 1/5*a**3 + 0*a**2 = 0.
-1/3, 0, 1
Let 0*z**2 + 2/7*z**3 + 4/7 - 6/7*z = 0. What is z?
-2, 1
Find x such that 2*x**5 + 18/7*x**4 - 18/7*x**2 + 0 - 10/7*x**3 - 4/7*x = 0.
-1, -2/7, 0, 1
Let u(t) be the first derivative of 0*t**3 - 1 + 0*t**2 + 1/12*t**4 - 6*t - 1/20*t**5. Let w(l) be the first derivative of u(l). Factor w(s).
-s**2*(s - 1)
Let d(t) be the third derivative of 2*t**7/245 - t**6/42 + 2*t**5/105 - 278*t**2. Determine f, given that d(f) = 0.
0, 2/3, 1
Let k(x) be the third derivative of -x**5/100 - 3*x**4/20 - x**3/2 - 62*x**2. Factor k(i).
-3*(i + 1)*(i + 5)/5
Let c(f) be the first derivative of f**5/5 + 2*f**4 + 5*f**3 + 717. Factor c(t).
t**2*(t + 3)*(t + 5)
Let a be (-1)/2*(17 - 21). Let p(q) be the first derivative of 8/5*q**a - 6/5*q + 3 + 2/5*q**3. Find z such that p(z) = 0.
-3, 1/3
Let w(q) be the first derivative of -2/35*q**5 + 0*q**3 + 1/14*q**4 + 0*q - 30 + 0*q**2. Find k, given that w(k) = 0.
0, 1
Let y(w) = 4 - 26 - 70*w + w**3 + 22*w**2 + 21*w. Let l be y(-24). Factor -2/5*a**4 - 2/5 + 8/5*a - 12/5*a**l + 8/5*a**3.
-2*(a - 1)**4/5
Suppose 95*h + 1030 + 68 = 461*h. Suppose -6*f**2 - 40/7*f**h + 50/7*f**4 + 40/7*f - 8/7 = 0. Calculate f.
-1, 2/5, 1
Let d be (18/15)/(90/150). Suppose 0 - 8/15*y**d - 2/15*y = 0. Calculate y.
-1/4, 0
Let q(l) be the first derivative of l**2 + 10/21*l**3 + 6/7*l + 1/14*l**4 - 10. Factor q(o).
2*(o + 1)**2*(o + 3)/7
Let x(m) be the first derivative of -8 - 5/3*m**3 + 0*m - 15/2*m**2. Solve x(b) = 0.
-3, 0
Factor -32/7*g**2 - 4/7*g**4 - 16/7*g - 20/7*g**3 + 0.
-4*g*(g + 1)*(g + 2)**2/7
Let x be (-247)/((-3)/(-5 - -4)). Let d = x + 83. Find l, given that d*l + 1/3*l**2 + 0 = 0.
-2, 0
Let q = -52 - -55. Suppose -2*h + 4 = c + c, q*c - 4 = -2*h. Factor -3/2*x**3 - 3/2*x**2 - 1/2*x - 1/2*x**4 + c.
-x*(x + 1)**3/2
Let g(v) be the third derivative of -13*v**5/90 - v**4/18 - 405*v**2. Factor g(b).
-2*b*(13*b + 2)/3
Let k = 16 + -23. Let z(f) = -f**2 - 10*f - 10. Let p be z(k). Factor -p*u**2 + 5*u**2 - 3 - u**3 - 12*u + 9*u**4 + 10*u**3 + 3*u**3.
3*(u - 1)*(u + 1)**2*(3*u + 1)
Let n(h) be the third derivative of h**5/270 + 22*h**4/27 + 29*h**3/9 + h**2 - 21. Factor n(v).
2*(v + 1)*(v + 87)/9
Let y be 0*(0 + 1) - (-2 + 0). Let o(q) be the first derivative of -2 + 2/9*q**y + 1/9*q**4 + 0*q + 10/27*q**3. Factor o(c).
2*c*(c + 2)*(2*c + 1)/9
Suppose 0 = 2*f - j - 13, 5*f - 3*j - 11 - 20 = 0. Let n be (4/32)/(2/f). Factor n*i**2 + 1/2*i - 1/2*i**3 - 1/2.
-(i - 1)**2*(i + 1)/2
Let l(v) be the first derivative of 1/8*v**3 + 3 + 3/4*v + 9/16*v**2. Determine j, given that l(j) = 0.
-2, -1
Suppose 5 = -y - 5*g, -3*y - 5*g = -22 - 3. Let l = 12 - y. Let b(q) = -q**2 - 1. Let f(u) = u**3 - u**2 + u + 1. Let d(r) = l*f(r) - 3*b(r). Factor d(j).
-3*j*(j - 1)**2
Let f(o) be the second derivative of 2*o**6/135 - 2*o**5/45 - o**4/27 + 4*o**3/27 - 163*o. Find v, given that f(v) = 0.
-1, 0, 1, 2
Let i(b) = 5*b**4 + 5*b**3 - 5*b**2 + 5*b + 5. Let w(k) = 2*k**4 + 3*k**3 - 2*k**2 + 3*k + 3. Suppose 3*x + 0*x = 15. Let z(j) = x*w(j) - 3*i(j). Factor z(h).
-5*h**2*(h - 1)*(h + 1)
Let j(k) = -k**4 - 42*k**3 - 7*k + 7. Let g(f) = 14*f**3 + 2*f - 2. Let t be (-22)/99 + (-124)/(-9)*-1. Let n(v) = t*g(v) - 4*j(v). Factor n(q).
4*q**3*(q - 7)
Let f(h) = 6*h**3 + h**2 + h + 1. Let i be f(-2). Let g be (4/(-10))/(1/i). Determine p, given that 3 - 9*p - 47*p**3 + 81*p**2 - 34*p**3 - g*p = 0.
1/3
Let g = 130 - 517/4. Let a(d) be the first derivative of -4/5*d**5 - 1/4*d + 1 - 1/12*d**3 + 3/2*d**4 - g*d**2. Let a(m) = 0. Calculate m.
-1/4, 1
Suppose -4*r = -7*r + 6. Suppose 176*m**4 + 29*m**3 + 13 - 132*m**r - 5 + 3*m**3 + 20*m = 0. Calculate m.
-1, -2/11, 1/2
Let f be (20/4 - -2) + 3. Suppose k - 6*k = -f. Factor k*h**2 - h**3 + h - h**2 + h.
-h*(h - 2)*(h + 1)
Factor 63*r + 1/4*r**2 + 3969.
(r + 126)**2/4
Let r(m) = 8*m**2 - 264*m - 4368. Let y(x) = -x**2 + 1. Let f(u) = -r(u) - 12*y(u). Factor f(j).
4*(j + 33)**2
Let n be -3 + (2 - -2) + (-2)/2. Let d be ((-54)/12 + 4)*(n + 0). Factor -x**3 + 1/2 + x - 1/2*x**4 + d*x**2.
-(x - 1)*(x + 1)**3/2
Let -29*z**2 + 429 + 7*z - 429 + 5*z**3 - z**3 = 0. What is z?
0, 1/4, 7
Factor 32*n**2 - 5*n**4 + 28*n**3 - 9*n**4 + 18*n**4 - 8*n**4.
-4*n**2*(n - 8)*(n + 1)
Let b(u) be the first derivative of -u**6/36 - u**5/5 + u**4/24 + u**3/3 - 115. Suppose b(z) = 0. Calculate z.
-6, -1, 0, 1
Solve -546/5*w - 8/15*w**4 + 66/5*w**3 - 338/15 - 1094/15*w**2 = 0 for w.
-1, -1/4, 13
Let h(d) be the second derivative of -d**6/60 + d**4/24 - 49*d. Let h(g) = 0. What is g?
-1, 0, 1
Solve -44/3*p**3 + 64/3*p**2 - 16/3*p**4 + 0 - 16/3*p + 4*p**5 = 0.
-2, 0, 1/3, 1, 2
Suppose -3 + 1 = -d. Let v = -20 - -22. Determine g, given that -3*g**v + 0*g**4 + 2*g**3 - 4*g**4 + 3*g**2 + d*g**5 = 0.
0, 1
Let g be (3/36)/(-10 - 9645/(-960)). Factor -8/3*w**3 - 4*w**2 + 0 - g*w - 4/9*w**4.
-4*w*(w + 1)**2*(w + 4)/9
Suppose -3*q = -9, -q + 28 = 5*o - 0*o. Let w(h) = -h**2 + 7*h - 8. Let y be w(o). Factor -1/7*c**5 - 1/7*c + 0*c**y + 0 + 0*c**4 + 2/7*c**3.
-c*(c - 1)**2*(c + 1)**2/7
Suppose -3*b - 12 = -3*r, 0 = -4*r + b - 17 + 33. Let s(a) be the third derivative of 1/30*a**5 + 0 + r*a**2 - 7/36*a**4 - 2/3*a**3 + 0*a. Factor s(v).
2*(v - 3)*(3*v + 2)/3
Let n be (-158)/51 - (-2710)/813. Factor 0 - 2/17*o**3 - n*o**2 - 2/17*o.
-2*o*(o + 1)**2/17
Let j(m) = m**3 + 9*m**2 + 4. Let b be j(-9). Suppose -3*z - b = -7*z. Solve z - 6 + 1 - 28*c - 49*c**2 = 0.
-2/7
Let k(m) be the second derivative of -m**6/90 + m**5/60 + m**4/9 - 2*m**3/9 - 40*m - 2. Factor k(b).
-b*(b - 2)*(b - 1)*(b + 2)/3
Let v be 2 + -3 - 1 - (-518)/185. What is w in -v*w**3 + 0*w + 0 + 0*w**2 + 2/5*w**4 = 0?
0, 2
Let p(v) = 2*v**2 + 2*v + 166. Let k be p(0). Let z be k/104 + 18/117. Let 3/2*y**3 - 7/4*y**2 - 1/2*y - y**5 + 0 + z*y**4 = 0. Calculate y.
-1, -1/4, 0, 1, 2
Let i(p) be the second derivative of p**7/126 - 2*p**6/45 - 13*p**5/30 - 11*p**4/9 - 31*p**3/18 - 4*p**2/3 + 12*p. Let i(n) = 0. Calculate n.
-1, 8
What is r in 0*r + 9/8*r**4 + 11/8*r**2 + 1/8*r**5 - 21/8*r**3 + 0 = 0?
-11, 0, 1
Let o be 21/(-78)*1562/(-55). Let m = 102/13 - o. Let -2/5*n - 1/5 - m*n**2 = 0. Calculate n.
-1
Let l(h) be the second derivative of -h**7/35 - 8*h**6/75 + h**4/3 + h**3/5 - 2*h**2/5 - 2*h + 14. Let l(b) = 0. Calculate b.
-2, -1, 1/3, 1
Factor 2/15*m**2 - 4/5 + 2/3*m.
2*(m - 1)*(m + 6)/15
Let r be (-273)/(-65) + (-1 - 3). Let k(v) be the first derivative of -1/5*v**2 + 3 + 3/5*v**3 - 3/5*v**4 + r*v**5 + 0*v. Let k(l) = 0. Calculate l.
0, 2/5, 1
Factor 148/7*o + 20/7*o**3 - 96/7*o**2 - 72/7.
4*(o - 2)*(o - 1)*(5*o - 9)/7
Factor 1/4*p**2 + 2 - 3/2*p.
(p - 4)*(p - 2)/4
Let r = -15547 + 31095/2. Find a, given that 1/4*a**5 - 5/4*a + r + 1/2*a**2 - a**4 + a**3 = 0.
-1, 1, 2
Let h(n) be the first derivative of 3*n**5/20 + 3*n**4/4 + 3*n**3/4 - 3*n**2/2 - 3*n + 111. Find m such that h(m) = 0.
-2, -1, 1
Let m = 119 - 3209/27. Let f(g) be the third derivative of 0 + 1/540*g**6 + 1/90*g**5 + 0*g**4 + 5*g**2 - m*g**3 + 0*g. Factor f(k).
2*(k - 1)*(k + 2)**2/9
Let p be (5 + -4)*((-154)/(-6))/(-1). Let h = 26 + p. What is c in -1/3*c**3 - h*c**2 + 0*c + 0 = 0?
-1, 0
Let t(d) be the first derivative of d**5/15 - d**4/6 + d**2/3 - d/3 - 222. Factor t(x).
(x - 1)**3*(x + 1)/3
Let r(i) = i**4 + i**3 + i**2 - i - 1. Let p be (4/(-6))/((-23)/207). Let u(w) = 11*w**4 - 29*w**3 + 91*w**2 - 91*w + 24. Let s(g) = p*r(g) - u(g). Factor s(j).
-5*(j - 3)*(j - 2)*(j - 1)**2
Let k(x) = -x**3 + 3*x**2 + 51*x - 61. Let m(u) = 4*u**2 + 22*u - 6*u - 10 - 50 + 36*u. Let q(s) = 4*k(s) - 3*m(s). Facto