cond derivative of -3/2*j**3 - j + 3*j**2 + 1/4*j**a + 0. Factor z(l).
3*(l - 2)*(l - 1)
Let a(v) be the third derivative of -v**8/168 - 2*v**7/105 - v**6/60 + 8*v**2. Factor a(m).
-2*m**3*(m + 1)**2
Let j be (-7698)/(-42) + -3 + 0. Let y = -180 + j. Factor 0 + 4/7*m**2 + y*m**3 + 2/7*m.
2*m*(m + 1)**2/7
Suppose 3*d = -0*d - 30. Let q be d/28*(-8)/10. Determine p, given that -24/7*p - 26/7*p**2 - q*p**4 - 12/7*p**3 - 8/7 = 0.
-2, -1
Let y = -412 + 3712/9. Factor -y*i - 2/9*i**2 - 2/9.
-2*(i + 1)**2/9
Let r(c) = -4*c**2 - 2. Let a = 9 + -6. Suppose -p + a + 3 = 0. Let n(b) = 11*b**2 + b + 5. Let x(q) = p*n(q) + 17*r(q). Let x(j) = 0. Calculate j.
1, 2
Let k(h) be the second derivative of 9*h**5/10 - 17*h**4/4 - 2*h**3 + 9*h**2/2 + h. Factor k(p).
3*(p - 3)*(2*p + 1)*(3*p - 1)
Suppose 0 = 4*i + 3 - 15. Factor 2*o**3 - 7*o**3 + i*o**3.
-2*o**3
Let l(w) = 3*w**4 - 6*w**3 - 9*w**2 + 3. Let h(u) = u**5 + u**2 + u. Let y(t) = -3*h(t) - l(t). Factor y(r).
-3*(r - 1)**2*(r + 1)**3
Let p(w) be the second derivative of 0 - 6*w - 4/3*w**2 - 77/18*w**4 - 49/30*w**5 - 32/9*w**3. Factor p(d).
-2*(d + 1)*(7*d + 2)**2/3
Let m(i) be the first derivative of 3*i**4 + i**2 + 1/3*i**6 + 8/5*i**5 + 0*i + 8/3*i**3 + 2. Factor m(j).
2*j*(j + 1)**4
Suppose -3*p = -3*i + i - 8, 0 = 5*i + 5. Let j(z) be the third derivative of 0*z**4 + 0*z**3 + 0 + 0*z - 2*z**p - 1/30*z**5. Solve j(l) = 0 for l.
0
Let h(y) = y**2 - 2. Suppose -4*q + 2*k - 2 = 6, q + 2 = 5*k. Let m be h(q). Factor o - 4*o - 2*o**m + 5*o.
-2*o*(o - 1)
Let f(r) = r**4 + r**3 + r + 1. Let w(x) = -18*x**3 - 54*x**2 - 57*x - 21. Let g(s) = 3*f(s) - w(s). Solve g(q) = 0.
-2, -1
Let d be 8 - ((-3)/3)/1. Let b be ((-3)/d + -1)/(-6). What is m in -2/9*m**2 + 0 - b*m = 0?
-1, 0
Let t = 2791/3 - 930. Factor 4/3*w + w**2 - 4/3*w**3 + t*w**4 - 4/3.
(w - 2)**2*(w - 1)*(w + 1)/3
Let m(l) = -24*l**3 + 4*l**2 + l**2 + 23*l**3 + 2 - 4*l. Let i be m(4). Factor 1/2*j + 1/4 + 1/4*j**i.
(j + 1)**2/4
Let k be 0/(-1)*(-1)/(-2). Let x = 3 + k. Solve 0*d**x - 4*d**5 + 0*d**3 + d**4 + 5*d**5 = 0.
-1, 0
Let f = -964/7 + 138. Factor 2/7*s + f*s**2 + 0.
2*s*(s + 1)/7
Let m be 1221/(-42) - 1/2. Let f = m + 213/7. Determine l, given that f*l + 4/7 - 10/7*l**2 = 0.
-2/5, 1
Suppose -3*p = 9, 3*p = -k - 20 - 15. Let q(t) = -9*t**2. Let i(s) = 2*s**2. Let h(r) = k*i(r) - 6*q(r). Find w such that h(w) = 0.
0
Let c = -20 - -23. Let -d**4 + 4*d**4 + d - c*d**3 - 3*d**2 + 2*d = 0. Calculate d.
-1, 0, 1
Let s(w) = -4*w + 5. Let g be s(2). Let n = -8/3 - g. Factor b**3 + 1/3*b + 0 - n*b**4 - b**2.
-b*(b - 1)**3/3
Let p(w) = -2*w**2 - 4*w + 14. Let n(i) = 3*i**2 + 2*i - 15. Let a(u) = 4*n(u) + 5*p(u). What is m in a(m) = 0?
1, 5
Suppose -1/3*q**2 + 0 - 1/3*q = 0. What is q?
-1, 0
Let x = 81/10 + -28/5. Let p be (-61)/(-4) - 3/(-12). Let -15/2*d - x*d**3 + p*d**2 + 10*d**5 - 33/2*d**4 + 1 = 0. Calculate d.
-1, 1/4, 2/5, 1
Let k be (-3)/6 + 15/2. Suppose -5 = -4*d + k. What is r in 25/4*r**4 + r + 0 + 45/4*r**d + 6*r**2 = 0?
-1, -2/5, 0
Let -6/5*l**2 - 3/5*l + 3/5 = 0. What is l?
-1, 1/2
Let n(j) be the second derivative of 0*j**3 - 1/300*j**5 + 3*j + 0 - 1/120*j**4 + j**2. Let g(q) be the first derivative of n(q). Determine r so that g(r) = 0.
-1, 0
Let g be (-2)/5 + 12/5. Determine r so that -9*r**3 + 10*r - 2*r**4 - g*r + 3*r**3 = 0.
-2, 0, 1
Let r(v) be the second derivative of v**6/80 + v**5/160 - v**4/12 + v**3/12 - 8*v. Suppose r(a) = 0. Calculate a.
-2, 0, 2/3, 1
Factor -2*n**2 + 0*n**5 - 12*n**3 + 4*n**5 - 9*n**2 - 2*n + n**4.
n*(n - 2)*(n + 1)**2*(4*n + 1)
Let h(l) be the first derivative of l**3/8 + 9*l**2/16 - 3*l/2 - 6. Factor h(y).
3*(y - 1)*(y + 4)/8
Let y(z) be the third derivative of z**8/40320 + z**5/60 + 3*z**2. Let u(a) be the third derivative of y(a). Suppose u(n) = 0. Calculate n.
0
Let t be 24/24*(10/4 + -2). Find p, given that 3/4*p**5 - 3/2*p**3 + 1/2*p**4 - p**2 + t + 3/4*p = 0.
-1, -2/3, 1
Let i(p) be the third derivative of p**9/6048 - p**7/840 + p**5/240 + p**3/3 + 5*p**2. Let q(b) be the first derivative of i(b). Let q(s) = 0. Calculate s.
-1, 0, 1
Let z(d) be the third derivative of -d**3 + 1/20*d**5 - 3/8*d**4 + 3/40*d**6 + 3*d**2 + 1/70*d**7 + 0 + 0*d. Factor z(o).
3*(o - 1)*(o + 1)**2*(o + 2)
Let s = 25 - 24. Let b(v) be the first derivative of -s + 0*v**3 - 2/35*v**5 + 0*v**2 + 0*v - 1/14*v**4. Factor b(g).
-2*g**3*(g + 1)/7
Solve -4*a**2 - 64/3 + 16*a + 1/3*a**3 = 0 for a.
4
Let z = -5 + 5. Suppose d + 2*d - 5*c + 3 = z, d = 3*c - 5. Factor 4*f**3 - 3*f**d - 2*f**3 + f**3.
-3*f**3*(f - 1)
Let k(f) be the third derivative of 3*f**2 + 0*f**4 - 1/21*f**7 - 4/15*f**6 + 0 - 2/15*f**5 + 25/168*f**8 + 0*f**3 + 0*f. Factor k(t).
2*t**2*(t - 1)*(5*t + 2)**2
Let w(u) = -4*u**3 + u**2 - 1. Let b be w(-1). Solve v + b*v**3 - v - v**3 = 0 for v.
0
Let s(i) be the third derivative of i**6/360 - i**4/24 + 5*i**3/3 - 3*i**2. Let k(x) be the first derivative of s(x). Let k(o) = 0. What is o?
-1, 1
Let w(u) be the first derivative of -5*u**5 - 215*u**4/4 - 195*u**3 - 405*u**2/2 + 270*u + 1. Solve w(k) = 0 for k.
-3, 2/5
Factor 2/9*k**2 - 16/9*k + 32/9.
2*(k - 4)**2/9
Let q be (-2 - (-87)/42)/((-2)/(-4)). Factor -3/7*w**3 + 2/7*w**4 - q*w**2 + 3/7*w - 1/7.
(w - 1)**2*(w + 1)*(2*w - 1)/7
Let b(m) be the first derivative of 2/3*m**3 - 2 + 4*m - 3*m**2. Factor b(d).
2*(d - 2)*(d - 1)
Let d = 6 + -3. Suppose 4*l - l = -4*t - 10, 0 = 5*l - t - 14. Let 2*z**l + 2*z - 2*z**d - 2*z**2 = 0. Calculate z.
-1, 0, 1
Determine b so that -4*b + 16*b**2 - 12*b**2 + 3 - b + 2*b**4 + 5*b**3 - 9*b**2 = 0.
-3, -1, 1/2, 1
Let n(l) = 12*l**2 + 39*l - 6. Let i(q) = q**2 + q + 1. Let b(t) = 15*i(t) - n(t). Determine y so that b(y) = 0.
1, 7
Let o(m) be the third derivative of 3*m**7/280 + m**6/10 - 49*m**5/120 + m**4/2 - 7*m**3/24 + m**2 + m. Factor o(y).
(y - 1)*(y + 7)*(3*y - 1)**2/4
Let j(c) be the first derivative of c**8/840 - c**6/180 - 7*c**3/3 - 2. Let i(q) be the third derivative of j(q). Determine a so that i(a) = 0.
-1, 0, 1
Let m = 118/13 + -774/91. Find q, given that 8/7 + m*q - 4/7*q**2 = 0.
-1, 2
Solve 366/5*j**3 + 36*j**2 + 24/5*j - 147/5*j**5 + 0 + 63/5*j**4 = 0 for j.
-1, -2/7, 0, 2
Suppose -2*u**2 + 1/6*u**3 + 6*u + 0 = 0. What is u?
0, 6
Factor 1/7*w**3 - 1/7*w**2 - 1/7*w + 1/7*w**4 + 0.
w*(w - 1)*(w + 1)**2/7
Let j be (-39)/(-15) - (8/(-20) + 0). Let v(t) be the second derivative of 1/15*t**j + 0*t**2 + t - 1/15*t**4 + 1/50*t**5 + 0. Factor v(y).
2*y*(y - 1)**2/5
Determine t so that 1/4*t**2 + 5/2*t + 25/4 = 0.
-5
Factor 9/2*a**2 + 3 + 3/4*a**3 + 27/4*a.
3*(a + 1)**2*(a + 4)/4
Let y(n) = -4*n + 7. Let z(k) = -5*k + 8. Let v(s) = -6*y(s) + 5*z(s). Let p be v(-2). Solve -3*h - 2 + 0 - h**2 + p*h = 0.
-2, -1
Let o(j) be the second derivative of j**10/20160 - j**9/15120 - j**4/6 - j. Let n(t) be the third derivative of o(t). Find v such that n(v) = 0.
0, 2/3
Let b(i) = -3*i**3 + i**2 - i - 3. Let q be b(-1). Solve -3*z**3 - 5/3*z**q + 5/3*z**4 + 2/3*z + 7/3*z**5 + 0 = 0.
-1, 0, 2/7, 1
Factor 20*u**5 + 21*u**4 - 25*u**3 - 8*u**5 + 19*u**3.
3*u**3*(u + 2)*(4*u - 1)
Let k(a) be the second derivative of 0 - 1/75*a**6 + 7/15*a**4 + 6*a + 3/5*a**2 - 11/15*a**3 - 3/25*a**5 + 1/105*a**7. Factor k(j).
2*(j - 1)**4*(j + 3)/5
Let v(u) be the first derivative of -7*u**6/3 - 22*u**5/5 + 213*u**4/14 - 22*u**3/21 - 64*u**2/7 - 24*u/7 - 4. Determine f so that v(f) = 0.
-3, -2/7, 1
Let p be (-2 - -2)/(-4 - -2). Suppose 0*h**3 - 4/7*h**5 + 6/7*h**4 - 2/7*h**2 + 0 + p*h = 0. What is h?
-1/2, 0, 1
Let c(i) be the first derivative of i**7/420 + i**6/240 + 2*i**2 + 2. Let b(j) be the second derivative of c(j). What is g in b(g) = 0?
-1, 0
Solve 2*k - 4*k**3 + 2*k + 4*k**4 + 274*k**2 - 278*k**2 = 0 for k.
-1, 0, 1
Let n(m) be the second derivative of m**7/28 + 13*m**6/40 + 9*m**5/40 + 8*m + 2. Let n(v) = 0. What is v?
-6, -1/2, 0
Let w(l) be the first derivative of -l**4/2 - 10*l**3 - 63*l**2 - 98*l + 24. Factor w(g).
-2*(g + 1)*(g + 7)**2
Factor 6*h**3 + 0 + 0*h + 2/3*h**2 + 27/2*h**4.
h**2*(9*h + 2)**2/6
Let a be (-1 - (-3 + 2))*1. Let t = a - -3. Factor 5*y**3 + y + y**t - 2*y**3 - 3*y**2 - 2*y**3.
y*(y - 1)*(2*y - 1)
Let q(k) = 10*k**2 + 5. Let c(p) = -p**3 + p**2 + 1. Let m(z) = 5*c(z) - q(z). Factor m(r).
-5*r**2*(r + 1)
Let x be (-810)/(-423) - 1*2. 