w(m).
5*m*(m - 2)*(m + 2)
Let x(m) be the first derivative of 0*m**3 + 1/12*m**4 - 4 - m**2 + 0*m - 1/30*m**5. Let w(p) be the second derivative of x(p). Factor w(u).
-2*u*(u - 1)
Let m(l) be the third derivative of 0*l**4 + 0 - 1/120*l**6 + 0*l**5 + 5*l**2 + 0*l**3 + 0*l. Solve m(i) = 0.
0
Let u(x) be the first derivative of 3*x**5/100 + x**4/20 - x - 1. Let w(n) be the first derivative of u(n). Factor w(z).
3*z**2*(z + 1)/5
Let l(b) = b**2 - b + 4. Let i be l(0). Solve -5*h**3 + 8*h - h**3 - 8*h + 3*h**2 + 3*h**i = 0 for h.
0, 1
Let f be ((-2108)/(-12))/(28/3). Let c = 81/4 - f. Determine q, given that 0 - 4/7*q - 2*q**2 - c*q**3 = 0.
-1, -2/5, 0
Let z be (-1 - (-2 - 8))*1. Suppose -2*n + z = n. Factor -3*p**2 + 4*p**2 - 2*p**n + 3*p**3.
p**2*(p + 1)
Let d(j) be the first derivative of 4*j - 1 - 7*j**2 - 8/3*j**3. Suppose d(l) = 0. What is l?
-2, 1/4
Suppose 2*j - 194 = -188. Let -9*a - 3/5*a**j - 21/5*a**2 - 27/5 = 0. What is a?
-3, -1
Suppose -2*d = -d. Let n = d - -2. Find i such that i + i + 0*i + n*i**2 = 0.
-1, 0
Suppose -4*k = 4*j, -k + 9 = -0*k - 2*j. Find b such that -80*b**3 + 0 - 44*b**2 + 2*b**k - 72*b**2 - 72*b - 18*b**4 - 16 = 0.
-2, -1, -2/3
Let t be (-2)/4 + (-56)/(-80). Solve 0*z - t*z**3 + 0*z**2 + 0*z**4 + 0 + 1/5*z**5 = 0.
-1, 0, 1
Suppose 7*b - 15 = 2*b. Let h = b + -1. Let h - 2*p**4 + 4*p**3 + 0*p**4 - 2*p - 2*p = 0. What is p?
-1, 1
Let o(n) be the first derivative of -n**7/1260 + n**5/180 + 2*n**3/3 - 3. Let b(d) be the third derivative of o(d). Factor b(i).
-2*i*(i - 1)*(i + 1)/3
Let z = 145/483 - 1/69. Let m = 36/175 - -2/25. Determine v so that m*v**3 - 2/7*v + z*v**2 - 2/7 = 0.
-1, 1
Let n(u) be the second derivative of u**5/90 + u**4/27 - u**3/27 - 2*u**2/9 - 8*u. Factor n(p).
2*(p - 1)*(p + 1)*(p + 2)/9
Let y(n) = -n**2 - 8*n - 4. Let w be y(-7). Let v be -2*w/4*-2. Factor -3/4*o - 1/4*o**2 - 1/4*o**4 + 3/4*o**v + 1/2.
-(o - 2)*(o - 1)**2*(o + 1)/4
Determine s, given that -3*s**2 + 9*s**2 - 2*s**2 - 16 + 12*s = 0.
-4, 1
Let o(i) be the first derivative of 7*i**3/3 - 9*i**2 - 9*i + 2. Find d, given that o(d) = 0.
-3/7, 3
Let s(a) be the third derivative of a**5/60 + a**4/4 - 7*a**3/6 - 29*a**2. Solve s(i) = 0 for i.
-7, 1
Let u(g) be the first derivative of -g**4/10 - 4*g**3/15 - g**2/5 + 8. Suppose u(q) = 0. What is q?
-1, 0
Let -1/2*m**4 + 0*m - m**3 - 1/2*m**2 + 0 = 0. What is m?
-1, 0
Let p(j) = -8*j**5 - 8*j**4 + j**3 + j**2 - 7. Let a(m) = m**5 + m**4 + 1. Let v(q) = 14*a(q) + 2*p(q). Factor v(r).
-2*r**2*(r - 1)*(r + 1)**2
Let s(d) = -2*d**3 + 8*d**2 - 6*d + 8. Let h(n) = n + 1. Let z(i) = 4*h(i) - s(i). Let z(w) = 0. Calculate w.
1, 2
Let c = 1201/65 - 170/13. Factor -1/5*x**3 - 27/5*x - c - 9/5*x**2.
-(x + 3)**3/5
Let r be 1/(-7) - (-6 + 164/28). Suppose -1/2*s**3 + 1/2*s**2 + r + s = 0. What is s?
-1, 0, 2
Suppose 18 = -18*j + 21*j. Find h such that 6*h**2 + j*h + 3*h - 3*h - 3*h**2 = 0.
-2, 0
Suppose -3*g = 4*d - 4*g + 651, 4*g - 485 = 3*d. Let h = d + 1143/7. What is c in 2/7*c**3 + 6/7*c + 6/7*c**2 + h = 0?
-1
Let f(m) be the third derivative of m**8/168 - m**7/105 - m**6/60 + m**5/30 + 6*m**2. Let f(p) = 0. What is p?
-1, 0, 1
Factor 4/5*j**4 - 12/5*j**2 + 16/5*j + 16/5 - 8/5*j**3.
4*(j - 2)**2*(j + 1)**2/5
Let g(u) = -4*u - 6. Let w be g(-3). Let z(o) be the second derivative of 0 + 0*o**2 + 3*o + 1/12*o**3 - 1/24*o**w - 3/16*o**4 + 3/20*o**5. Factor z(y).
-y*(y - 1)**2*(5*y - 2)/4
Let v(b) be the second derivative of 4*b + 1/3*b**2 + 0 - 1/6*b**3 + 1/36*b**4. Let v(g) = 0. Calculate g.
1, 2
Let p(d) be the third derivative of -d**5/30 - 2*d**4/3 - 16*d**3/3 - 8*d**2. Solve p(h) = 0.
-4
Find q, given that 3/5*q + 3/5*q**4 - 9/5*q**2 + 6/5 - 3/5*q**3 = 0.
-1, 1, 2
Let v = 5 - 11. Let p be (-4)/v*9/2. Factor -2*f**3 + p*f**3 - 2*f**3.
-f**3
Suppose 11 = -3*t + o + 1, -2*t - 3*o + 8 = 0. Let l be (-1 + 1 + -6)/t. Factor 0 - l + 1 + 5*b - 3*b**2.
-(b - 1)*(3*b - 2)
Suppose z = -4*c + 11, -z + 3*c = -4 + 7. Let 1/3*w**2 + 0*w**4 + 1/6*w**5 - 1/2*w**z + 0 + 0*w = 0. What is w?
-2, 0, 1
Let p(k) be the third derivative of -1/150*k**5 + 1/15*k**3 + 0*k**4 + 0 + 0*k + 3*k**2. Find r, given that p(r) = 0.
-1, 1
Let i(d) be the second derivative of -d**7/84 + d**5/40 - 4*d. Determine p so that i(p) = 0.
-1, 0, 1
Let s(g) be the first derivative of -1 + 1/5*g - 1/5*g**2 + 1/15*g**3. Factor s(b).
(b - 1)**2/5
Let v(j) be the second derivative of 0 - j + 0*j**2 + 1/12*j**4 - 1/6*j**3. Find p, given that v(p) = 0.
0, 1
Let q(v) be the second derivative of 9*v + 1/40*v**6 + 0*v**3 + 0*v**4 + 0*v**2 + 3/40*v**5 + 0. Determine z, given that q(z) = 0.
-2, 0
Let w(z) be the first derivative of -5*z**4/4 + 35*z**3 - 735*z**2/2 + 1715*z - 3. Factor w(s).
-5*(s - 7)**3
Let a = 25 - 25. Factor 4*p**2 + 125 - 89 + a*p**2 - 24*p.
4*(p - 3)**2
Let i(c) = -c**2 + 15*c - 19. Let n be i(14). Let w = -1 - n. Factor 0 + 2/5*u**5 + 2/5*u**3 + 0*u + 4/5*u**w + 0*u**2.
2*u**3*(u + 1)**2/5
Let p = -6569/5 + 1314. Factor -1/5*y**3 + 0 + 0*y + 1/5*y**4 - 1/5*y**2 + p*y**5.
y**2*(y - 1)*(y + 1)**2/5
Let s(p) be the second derivative of -1/45*p**4 + 0 - 1/9*p**3 + 2/15*p**2 + 1/30*p**5 - p. Factor s(y).
2*(y - 1)*(y + 1)*(5*y - 2)/15
Let u(m) be the second derivative of m**9/4032 - m**8/1680 - m**7/840 - m**3/2 - 4*m. Let x(f) be the second derivative of u(f). Factor x(i).
i**3*(i - 2)*(3*i + 2)/4
Let o(d) = -3*d**2 + 9*d - 3. Let l be (55/10)/(2/4). Suppose 3*h + l = -4. Let c(w) = 2*w**2 - 8*w + 2. Let a(v) = h*c(v) - 4*o(v). Factor a(s).
2*(s + 1)**2
Let -4*v**2 + v + 3*v**2 + 2*v**3 - 3*v**3 + 4*v**4 - 3*v**4 = 0. What is v?
-1, 0, 1
Let f(d) = -d**3 - 2*d**2 + 4*d + 4. Let y be f(-3). Let r = 1 - y. Factor -l**3 + 5*l - l**2 + 1 + r*l**3 - 4*l.
-(l - 1)*(l + 1)**2
Let g(x) = -x**3 - 6*x**2 - 6*x - 3. Let k be g(-5). Factor 22*d - 4*d - 4 + 2 - 2 - 18*d**k.
-2*(3*d - 2)*(3*d - 1)
Let x(y) = y**3 - 3*y**2 - 4*y + 3. Let i be x(4). Let z(g) be the second derivative of 1/30*g**4 + 0*g**2 - 1/15*g**3 + 0 + i*g. Determine p so that z(p) = 0.
0, 1
Let t be -5*(-6)/5*2. Suppose 2*c + 5 = -q - 2*q, -4*q = -t. Let n(v) = 8*v**2 + 6*v + 6. Let l(i) = 9*i**2 + 7*i + 7. Let r(g) = c*n(g) + 6*l(g). Factor r(b).
-2*b**2
Let o(b) be the second derivative of -3*b + 1/180*b**5 - 1/18*b**3 + 0 - 1/360*b**6 - b**2 + 1/72*b**4. Let v(f) be the first derivative of o(f). Factor v(c).
-(c - 1)**2*(c + 1)/3
Let k(b) = -b**2 - 2*b + 13. Let s be k(-5). Let u be 22/44 + s/4. Factor -3/2*x**3 - 3/2*x**2 + 3/2*x**4 + u + 3/2*x.
3*x*(x - 1)**2*(x + 1)/2
Suppose 0 + 4*q**2 - 2*q**3 - 2/3*q**4 + 16/3*q = 0. What is q?
-4, -1, 0, 2
Let i(a) be the second derivative of a**4/4 - a**3/2 - 7*a. Factor i(n).
3*n*(n - 1)
Let q(c) be the first derivative of -c**6/3 + 26*c**5/15 - 19*c**4/6 + 22*c**3/9 - 2*c**2/3 + 8. Find p, given that q(p) = 0.
0, 1/3, 1, 2
Let y(b) be the first derivative of b**4/34 - 2*b**3/17 + 2*b**2/17 - 29. Factor y(h).
2*h*(h - 2)*(h - 1)/17
Let g be -3 - 12/(-2 + -2). Find w such that g + 2/3*w**5 - 2/3*w**4 + 0*w + 0*w**2 + 0*w**3 = 0.
0, 1
Let y(n) = n**2 - 8*n - 6. Let q be y(9). Determine t so that -2 - 6*t**2 - 2*t**3 - 6*t + 0*t**q + t**3 - t**3 = 0.
-1
Let l(w) be the second derivative of -3*w**5/40 + w**4/6 - w**3/12 - 3*w. Factor l(m).
-m*(m - 1)*(3*m - 1)/2
Suppose 0 = -0*a - a + 3*f - 1, 1 = f. Let l(q) be the first derivative of -1/4*q**a - 3 + 1/4*q + 1/12*q**3. Factor l(o).
(o - 1)**2/4
Let r be (-6)/15 - (-78)/20. Let w = -3 + r. Factor 0 - w*d**2 + 0*d.
-d**2/2
Let v be 88/(-110)*(-10)/2. Let y(s) be the second derivative of 0*s**v + 3*s + 0*s**2 + 0 - 1/27*s**3 + 1/90*s**5. Factor y(d).
2*d*(d - 1)*(d + 1)/9
Suppose 0 = 2*u + v - 12 + 3, -4*u + v = -21. Let n = -5 + u. Factor 4*b - 14*b - 2 - 2*b**5 - 20*b**3 - 10*b**4 + n*b**5 - 20*b**2.
-2*(b + 1)**5
Let v(j) be the first derivative of 2*j**5/15 - 2*j**3/3 + 2*j**2/3 + 8. Let v(f) = 0. What is f?
-2, 0, 1
Let p = -10 - -12. Factor i + i**3 + 1 - 2*i**p - 1.
i*(i - 1)**2
Suppose -4*k + 6 = -0*y - y, -4*k = -5*y + 2. What is f in -2/7*f + 0 - 2/7*f**y = 0?
-1, 0
Let w = -119/2 + 63. Let t = 49 - 44. Suppose 0 - w*f**3 + 1/2*f**2 + 3*f**t + 1/2*f - 1/2*f**4 = 0. Calculate f.
-1, -1/3, 0, 1/2, 1
Let g(x) be the third derivative of x**8/42 + x**7/21 - x**6/20 - x**5/6 - x**4/1