9/4*w**2.
3*(w - 1)**3/4
Let v be ((1/(-3))/(828/(-1863)))/(-1 + 4). Factor -1/12*l**5 - 1/4*l**3 - 1/12*l**2 + 0*l + 0 - v*l**4.
-l**2*(l + 1)**3/12
Suppose -3*j = -5*o + j - 560, 336 = -3*o - 3*j. Let z = 115 + o. Factor 3/4*v**z + 0*v**2 - 3/4*v + 0.
3*v*(v - 1)*(v + 1)/4
Let 6*u**2 - 2*u - 13/2*u**3 - 1/2*u**5 + 3*u**4 + 0 = 0. What is u?
0, 1, 2
Let o be 2775/18 + (-4)/24. Factor 42*x**3 + 228*x**4 - o*x**3 - 69*x**5 - 75*x**5 + 16*x**2.
-4*x**2*(3*x - 2)**2*(4*x - 1)
Suppose 5*y = -15*y + 10*y. Let m(a) be the second derivative of y - 3/140*a**5 - 2/7*a**3 + 0*a**2 - a - 1/7*a**4. Determine p, given that m(p) = 0.
-2, 0
Let k be (4 - -2)/(-3) + 350/100. Factor -k*h**2 + 0 + 21/2*h.
-3*h*(h - 7)/2
Let r(s) = -s**5 + s**4 - s. Let i(n) = -50*n**5 + 75*n**4 - 30*n**3 + 5*n**2 - 30*n. Let x be 2/5*-2 - 154/(-5). Let g(q) = x*r(q) - i(q). Solve g(o) = 0.
0, 1/4, 1
Let o = 8/95 - 193/3420. Let z(m) be the third derivative of -o*m**6 - 1/90*m**5 + 0*m**3 + 0*m + 0 - m**2 + 0*m**4 - 4/315*m**7. Let z(y) = 0. What is y?
-1, -1/4, 0
Let l = -26803 - -322097/12. Let k = l - 113/3. Find z, given that -k*z + 3/8 + 3/8*z**2 = 0.
1
Let u(v) be the third derivative of -1/75*v**5 - 8*v**2 + 0*v**3 + 0 + 5/336*v**8 - 3/70*v**7 + 0*v + 1/25*v**6 + 0*v**4. Find j, given that u(j) = 0.
0, 2/5, 1
Let d(n) be the second derivative of 0 - 2*n**2 + 21*n + 1/5*n**5 + 2*n**3 - n**4. Find g such that d(g) = 0.
1
Let k(p) be the third derivative of 0 - 1/80*p**5 - 3/16*p**4 + 0*p**3 + p**2 - 28*p. Find v, given that k(v) = 0.
-6, 0
Let d be -14 - ((-2516)/(-10))/(-17). Solve -d + 2*s - 4/5*s**2 = 0 for s.
1/2, 2
Suppose 3*w = -33 + 45. Suppose 7*q**w - 5*q**4 - 8*q + 3 - 2*q**2 + 8*q**3 - 3 = 0. Calculate q.
-4, -1, 0, 1
Let h = -15 + -11. Let m = -23 - h. Find y, given that -2*y**2 + y**4 + 3*y + 5*y**2 + 3*y - 4*y**4 - 6*y**m = 0.
-2, -1, 0, 1
Factor 2 - 2*k**4 - 2 - 39*k**3 + 14*k**3 + 31*k**3.
-2*k**3*(k - 3)
Let y = 27/62 - -2/31. Suppose 6*q - 14 - 4 = 0. Factor -2*o - q*o**2 - 2*o**3 - 1/2*o**4 - y.
-(o + 1)**4/2
Suppose 4 = -v + 10. Let f(h) = -h**2 + 9*h - 14. Let c be f(v). Suppose -3 - m**2 + c + 2*m + 2*m**2 + 0 = 0. What is m?
-1
Let j(g) be the second derivative of -3*g**5/100 + g**4/10 + g**3/2 - 9*g**2/5 - 10*g + 2. Factor j(m).
-3*(m - 3)*(m - 1)*(m + 2)/5
Let x(a) be the second derivative of -a**4/4 - a**3/2 - 36*a - 1. Determine q so that x(q) = 0.
-1, 0
Let y(j) be the second derivative of -j**3 - 5/2*j**2 - 5*j + 11/20*j**5 - 1/8*j**4 + 0 + 1/4*j**6. Let x(g) be the first derivative of y(g). Factor x(r).
3*(r + 1)*(2*r + 1)*(5*r - 2)
Let n = -29/17 - -143/34. Let g(u) be the first derivative of u**2 + n*u**5 - 8/3*u**3 + 0*u + 5/8*u**4 - 1. Factor g(f).
f*(f + 1)*(5*f - 2)**2/2
Let p(l) = -l + 1. Let m(o) = -o**2 + o - 4. Let i(u) = m(u) + 6*p(u). Let g be i(-5). Factor n**2 - 5 + 11*n**2 - 9*n + g.
3*(n - 1)*(4*n + 1)
Let s(w) = -7*w**3 - 130*w**2 + 279*w - 140. Let d(n) = 8*n**3 + 130*n**2 - 281*n + 140. Let r(m) = 2*d(m) + 3*s(m). Find h such that r(h) = 0.
-28, 1
Let a(h) be the third derivative of 0 - h**2 - 21*h - 5/102*h**4 - 11/51*h**3 + 1/510*h**5. Factor a(y).
2*(y - 11)*(y + 1)/17
Factor 27/4*y + 3/4*y**2 - 3/4*y**4 - 27/4*y**3 + 0.
-3*y*(y - 1)*(y + 1)*(y + 9)/4
Let j = 21 + -17. Factor -40*b**2 - 4*b**5 + 16*b + 16*b**j + 29 + 2 - 3*b**3 - b**3 + 1.
-4*(b - 2)**3*(b + 1)**2
Suppose 2*o - t = -3*o + 37, o = -4*t + 20. Let n(q) be the first derivative of -o*q**2 - 8*q - 8 - 10/3*q**3 - 1/2*q**4. Find y, given that n(y) = 0.
-2, -1
Let p(r) = r - 10. Let g be p(9). Let a be 4*g*(-9)/12. Factor -2*h**2 + 2*h**a - 17*h + 2*h**3 + 18*h - 3*h**3.
h*(h - 1)**2
Let j(a) be the third derivative of a**5/60 - 10*a**4/3 + 338*a**2. Factor j(c).
c*(c - 80)
Let i be (8/(-3))/((-28)/((-9576)/(-209))). Factor 4/11 + i*m**2 - 26/11*m - 18/11*m**3.
-2*(m - 2)*(3*m - 1)**2/11
Suppose 0 = 2*k + 2*b + 10, 42*k - 44*k = 4*b + 20. Factor -2/7*c**5 + k*c - 6/7*c**3 + 2/7*c**2 + 6/7*c**4 + 0.
-2*c**2*(c - 1)**3/7
Factor -5/4 - 3/2*s - 1/4*s**2.
-(s + 1)*(s + 5)/4
Find o, given that -28/5*o**3 - 4/5*o**4 - 33/5*o**2 + 196/5 + 112/5*o = 0.
-7/2, -2, 2
Let o = 113 - 102. Let h(n) = -6*n**3 - 4*n**2 - 11*n + 31. Let f(c) = -c**3 - c**2 - 2*c + 6. Let g(l) = o*f(l) - 2*h(l). Let g(y) = 0. Calculate y.
-1, 2
Find k, given that -357 - 24*k**2 + 1212 + 4*k**3 - 36*k - 401 - 398 = 0.
-2, 1, 7
Let i(l) = 3*l + 33. Let f be i(-5). Let t be 3/30*(-6 + f). Solve 0 + 1/5*o**5 - 8/5*o**2 + 0*o + 12/5*o**3 - t*o**4 = 0 for o.
0, 2
Find b such that -2/7*b**3 - 132/7*b**2 + 0 - 2178/7*b = 0.
-33, 0
Find f such that f**2 + 5*f**2 - f**3 + 206*f - 200*f - f**2 = 0.
-1, 0, 6
Let k(f) be the second derivative of 1/90*f**6 - 1/15*f**5 + 2/9*f**3 + 10*f + 1/12*f**4 - 2/3*f**2 + 0. Factor k(y).
(y - 2)**2*(y - 1)*(y + 1)/3
Let b(k) be the second derivative of k**3 - 3/4*k**4 + 0*k**5 + 0 - 8*k + 0*k**2 + 1/10*k**6. Factor b(x).
3*x*(x - 1)**2*(x + 2)
Let f be 4/3 - (-10)/(-3). Let y be 3*f*1/(-12). Solve y*t**3 + 0 - 1/4*t**2 + 0*t - 1/4*t**4 = 0.
0, 1
Let n(o) be the second derivative of 18*o + 19/3*o**3 + 7/4*o**6 - 31/8*o**4 - 9/28*o**7 - 3*o**2 + 0 - 49/40*o**5. Solve n(g) = 0.
-1, 2/9, 2/3, 1, 3
Let i(c) = 22*c**3 + 12*c**2 + 30*c - 5. Let u(h) = 5*h**3 + 3*h**2 + 7*h - 1. Let w(j) = 4*i(j) - 18*u(j). Determine d, given that w(d) = 0.
-1
Let a = -1 + 3. Let d be 4 - 5 - (12/(-8) + 0). Factor c**3 + 0*c**a + d*c**4 - 1/2 - c.
(c - 1)*(c + 1)**3/2
Suppose 183*w = 201*w - 54. Let x(v) be the first derivative of -4 + 0*v + 2/9*v**2 + 2/27*v**w. Solve x(o) = 0 for o.
-2, 0
Determine z so that 438*z - 10*z**2 + 15*z**2 - 448*z = 0.
0, 2
Suppose 0 + 2/9*d - 2/3*d**4 - 10/9*d**2 + 14/9*d**3 = 0. What is d?
0, 1/3, 1
Let n(l) be the first derivative of 0*l + 8/3*l**3 - 25 - 2/3*l**6 + 0*l**2 - 5*l**4 + 16/5*l**5. Factor n(a).
-4*a**2*(a - 2)*(a - 1)**2
Let l(o) be the third derivative of o**8/28 - 3*o**7/14 + 3*o**6/10 + o**5/5 - 162*o**2. Solve l(y) = 0.
-1/4, 0, 2
Let w(h) = 4*h**2 - 6*h + 5. Let j be w(4). Let d = 45 - j. Find k such that d + 2/7*k**3 - 2/7*k**2 + 0*k = 0.
0, 1
Suppose -195 = -l - 153. Suppose -6*f - l + 60 = 0. Factor 6*k - 15/2*k**3 + 0 - 9/4*k**4 - f*k**2.
-3*k*(k + 2)**2*(3*k - 2)/4
Let t(y) be the second derivative of -y**10/15120 + y**8/1680 - y**6/360 + 17*y**4/12 + 7*y. Let m(x) be the third derivative of t(x). Factor m(f).
-2*f*(f - 1)**2*(f + 1)**2
Factor 30/7 + 26/7*q - 2/7*q**3 - 6/7*q**2.
-2*(q - 3)*(q + 1)*(q + 5)/7
Let u(s) be the second derivative of 0 - 22*s + 0*s**3 + 0*s**2 + 1/42*s**4. Factor u(c).
2*c**2/7
Factor -52/11*m + 192/11 - 2*m**2.
-2*(m - 2)*(11*m + 48)/11
Let y = -161703/7 - -23113. Factor y*g - 4/7*g**2 - 484/7.
-4*(g - 11)**2/7
Let g(u) = 4*u**3 + 2*u**2 + 3. Let o be g(-4). Let b = -1520/7 - o. Solve 24/7*m**2 - 30/7*m**4 + b*m + 6/7 - 27/7*m**3 = 0 for m.
-1, -1/2, -2/5, 1
Let k be -1*3/(-20) + (-46)/(-184). Let a = 33/20 + -5/4. Factor a*q**2 + 2/5*q - k*q**3 - 2/5.
-2*(q - 1)**2*(q + 1)/5
Let f(x) = x**2 + 2*x - 1. Let n be f(-4). Let l(d) = d - 7. Let h be l(n). Factor -3*k**4 + 0 - 3/2*k + h*k**2 + 9/2*k**3.
-3*k*(k - 1)**2*(2*k + 1)/2
Let v = -1027 + 2289/2. Let l = v - 115. Factor 1/2*g**5 - l*g**2 - 3/2*g**3 + 0 - g + 1/2*g**4.
g*(g - 2)*(g + 1)**3/2
Let x(f) be the second derivative of -f**4/3 - 20*f**3/3 - 18*f**2 - 137*f - 2. Find v such that x(v) = 0.
-9, -1
Let s(x) be the third derivative of -x**8/784 - 33*x**7/490 + x**6/8 + 33*x**5/140 - 17*x**4/28 - 198*x**2. Find y such that s(y) = 0.
-34, -1, 0, 1
Let n(o) be the first derivative of o**5/240 - o**3/24 + 2*o**2 + 3. Let h(i) be the second derivative of n(i). Factor h(k).
(k - 1)*(k + 1)/4
Let w = 559 - 557. Let p(t) be the third derivative of -1/32*t**4 + 0*t + 0 + 3/80*t**5 + 1/280*t**7 - 3*t**w + 0*t**3 - 3/160*t**6. Factor p(o).
3*o*(o - 1)**3/4
Let b(i) be the second derivative of -i**7/147 + 8*i**6/105 - 11*i**5/35 + 4*i**4/7 - 3*i**3/7 + 2*i + 31. Factor b(p).
-2*p*(p - 3)**2*(p - 1)**2/7
Let v(q) = -q**4 - 2*q**3 - 3*q**2 - 1. Let g = 20 - 12. Let z(d) = -d**3 + 2*d + 1 + 5*d - g*d. Let r(h) = -4*v(h) - 4*z(h). Solve r(n) = 0 for n.
-1, 0
Suppose 9/5*k - 1/5*k**2 + 0 = 0. What is k?
0, 9
Let o(v) = -5*v**3 + 25*v**2 - 26*v + 12. Let c(x) = -20*x**3 + 10