2 - j*w**5 - 1/4.
-(w - 1)**2*(w + 1)**3/4
Factor 8*d**2 - 19*d**2 + 2*d**2 - 24*d + 11*d**2 + 72.
2*(d - 6)**2
Let y(d) be the first derivative of d**7/700 + d**6/600 - d**5/200 + 2*d**3 - 11. Let f(t) be the third derivative of y(t). Factor f(r).
3*r*(r + 1)*(2*r - 1)/5
Let u(r) be the second derivative of -9*r**7/56 + 13*r**6/20 - 13*r**5/20 + r**4/6 + r + 264. Find t, given that u(t) = 0.
0, 2/9, 2/3, 2
Suppose -2*j - 6 = 4*f + 2, -5*j - 3*f = 6. Let b(i) be the first derivative of 3/10*i**5 - 3/2*i - 4 + j*i**3 + 3/2*i**2 - 3/4*i**4. Factor b(l).
3*(l - 1)**3*(l + 1)/2
Factor 88/21 + 2/21*d**2 + 30/7*d.
2*(d + 1)*(d + 44)/21
Let u be (-16)/(-24) - 256/6. Let x = -83/2 - u. Determine b, given that -1/4 + x*b - 1/4*b**2 = 0.
1
Let k = 6 - 4. Factor -k + 1 + 3*v - 9*v - 3 - 2*v**2.
-2*(v + 1)*(v + 2)
Suppose 5*s - 2*x - 6 = -0*x, -4*x + 8 = 0. Let b(l) be the first derivative of 5 - l**3 - 3*l**s + 2*l - 5*l + 0*l. Factor b(y).
-3*(y + 1)**2
Factor 16*l**2 + 254 - 2*l**3 - l**5 + 4*l + 8*l - 6*l**4 - 270 - 3*l**3.
-(l - 1)**2*(l + 2)**2*(l + 4)
Let v be (1/(-2))/(1180/(-472)). Solve -3/5 - b**2 - v*b**3 - 7/5*b = 0.
-3, -1
Determine j so that 56/17*j - 26/17*j**2 - 162/17*j**4 - 252/17*j**3 - 8/17 = 0.
-1, 2/9
Let x be (6 - 7) + 6 + 4/(-2). Let -15*u**3 + 5*u**3 + 5*u**x + 5*u**2 = 0. What is u?
0, 1
Factor -245/3*w**2 - 65/6*w**4 - 85/6 + 335/6*w - 5/6*w**5 + 155/3*w**3.
-5*(w - 1)**4*(w + 17)/6
Let a(t) = -7*t**2 - 28*t - 2. Let b(r) = 5*r + 34. Let c be b(-5). Let i(p) = -29*p**2 - 111*p - 9. Let m(s) = c*a(s) - 2*i(s). What is l in m(l) = 0?
-6, 0
Let z(h) be the third derivative of h**8/672 + h**7/70 + h**6/48 - 2*h**5/15 - h**4/4 + 4*h**3/3 + 6*h**2 + 7. Let z(p) = 0. Calculate p.
-4, -2, 1
Let v(n) = n + 2. Let b(h) = 5*h**2 - 337*h - 339. Let m(o) = b(o) - 3*v(o). Factor m(k).
5*(k - 69)*(k + 1)
Let l(z) be the second derivative of z**5/70 + 4*z**4/7 - 17*z**3/7 + 26*z**2/7 - 114*z + 2. Factor l(f).
2*(f - 1)**2*(f + 26)/7
Let h(y) be the third derivative of 1/30*y**3 + 0 + 0*y - 1/120*y**4 + 1/600*y**6 - 1/300*y**5 - 22*y**2. Factor h(t).
(t - 1)**2*(t + 1)/5
Let c(y) be the first derivative of -4*y**3/3 - 16*y**2 - 48*y - 1. Factor c(k).
-4*(k + 2)*(k + 6)
Factor -8/7*l**2 + 0 - 10/7*l + 2/7*l**3.
2*l*(l - 5)*(l + 1)/7
Let r(t) = t**4 + t**3 + t + 1. Let q(p) = -9*p**4 - 13*p**3 - 2*p**2 - 9*p - 11. Suppose -191*i - 88 = -195*i. Let k(c) = i*r(c) + 2*q(c). Factor k(l).
4*l*(l - 1)**2*(l + 1)
Suppose -18*g - 691 = -5191. Let f be (1 + 0)*(-1)/(-2). Factor -f*n**4 - g*n - 75*n**2 - 10*n**3 - 625/2.
-(n + 5)**4/2
Let l = 46854 + -46854. Factor 2/7*n**2 - 6/7*n + l.
2*n*(n - 3)/7
Factor -876/5*a**2 - 722/5 - 2/5*a**4 + 16*a**3 + 304*a.
-2*(a - 19)**2*(a - 1)**2/5
Let h(q) = q**3 + q**2 - 2*q. Let m(k) = -5*k**3 - 450*k**2 + 65724*k - 3241792. Let a(f) = -6*h(f) - m(f). Factor a(r).
-(r - 148)**3
Suppose -a + 7*y + 19 = 2*y, 3*y + 9 = 0. Suppose 0*q**3 - 3/5 + 0*q - 3/5*q**a + 6/5*q**2 = 0. Calculate q.
-1, 1
Let r = -36551/3 + 12185. Solve -14/3*l + 2*l**4 - 2/3*l**2 + 14/3*l**3 - r = 0 for l.
-2, -1, -1/3, 1
Factor 1024/3 + 12*z**2 + 1/3*z**3 + 128*z.
(z + 4)*(z + 16)**2/3
Factor -1/9*j**3 + 0 - 1/9*j**4 + 0*j**2 + 0*j.
-j**3*(j + 1)/9
Suppose 15 = 5*g - 9*a + 4*a, 2*a - 48 = -4*g. Determine h so that 15/2*h**4 - 3/2*h**5 + 0*h**2 + g*h**3 + 0 + 0*h = 0.
-1, 0, 6
Let r(x) = 3*x**3 - 81*x**2 - 173*x - 91. Let a(l) = -l - 2. Let g(z) = -2*a(z) + r(z). Factor g(s).
3*(s - 29)*(s + 1)**2
Let u(c) be the second derivative of 1/35*c**5 - 2/21*c**3 + 0 + 5*c - 2*c**2 + 1/3*c**4. Factor u(q).
4*(q - 1)*(q + 1)*(q + 7)/7
Let 5*m**4 - 164 - 3 + 60*m**2 - 10*m**4 + 10*m**3 + 7 - 40*m = 0. Calculate m.
-2, 2, 4
Let h(c) be the third derivative of c**6/48 - 2*c**5/3 + 20*c**4/3 + 3*c**2 - 11*c. Determine v so that h(v) = 0.
0, 8
Let o(d) be the first derivative of -10*d**5 + 110*d**4 + 122*d**3/3 - 148*d**2 + 72*d + 209. Solve o(f) = 0.
-1, 2/5, 9
Let d(i) = 19*i - 4. Let y be d(-2). Let s be (-2)/(-6) - y/36. Factor 0*k + s - 3/2*k**2.
-3*(k - 1)*(k + 1)/2
Let y(m) = m**5 + 4*m**4 + 28*m**3 + 12*m**2 - 4*m. Let n(h) = -3*h**5 - 13*h**4 - 82*h**3 - 37*h**2 + 11*h. Let c(g) = 4*n(g) + 11*y(g). Factor c(s).
-s**2*(s + 2)**2*(s + 4)
Let 2/7*b**5 + 3866/7*b**3 + 1032*b**2 + 172/7*b**4 + 504*b + 0 = 0. What is b?
-42, -1, 0
Suppose 3*u - o = 7, -3*u + 0*o = -3*o - 3. Factor 2*v**u + 5*v**4 - 9*v**4 + 2*v**4.
-2*v**3*(v - 1)
Factor -14/13*l - 12/13 + 10/13*l**3 + 8/13*l**2.
2*(l + 1)**2*(5*l - 6)/13
Let s = -2305906/7605 + 14/1521. Let i = -302 - s. Determine u so that u**2 + 1/5*u + 0 - i*u**3 = 0.
-1/6, 0, 1
Let x = -28268/3 + 9424. Factor 0 - 4*o**3 + 8/3*o**2 + x*o**4 + 0*o.
4*o**2*(o - 2)*(o - 1)/3
Suppose a - 1872 = 19*a. Let c be (4/6)/(a/(-78)). Factor 1/2*y**3 + 0 + c*y**2 - y.
y*(y - 1)*(y + 2)/2
Let m(j) = -j**2 - 17*j - 16. Let d(h) = -3*h**2 - 35*h - 32. Let a(g) = -4*d(g) + 10*m(g). Factor a(o).
2*(o - 16)*(o + 1)
Let q(t) = -t**3 - 8*t**2 - 9*t - 7. Let r be q(-7). Suppose -r*w + 5*w = -8. Factor -4*o**2 + w*o - 4*o**2 + 6*o**2.
-2*o*(o - 2)
Suppose -4*h - 4*h = -3*h. Let c(i) be the third derivative of 0*i**3 - i**2 + 1/240*i**5 - 1/96*i**4 + h + 0*i. What is b in c(b) = 0?
0, 1
Suppose -53*j + 69*j = 0. Factor -1/3*s + 2/3*s**2 - 1/3*s**3 + j.
-s*(s - 1)**2/3
Suppose u**4 - 2*u**4 + 2*u**3 - 4*u**5 + u**5 = 0. Calculate u.
-1, 0, 2/3
Let x be -3 + (-4*4/(-32))/((-9)/(-54)). Determine g, given that -1/7*g**3 + 1/7*g**4 + 1/7*g**5 + 0 - 1/7*g**2 + x*g = 0.
-1, 0, 1
Let c(k) be the first derivative of -k**6/33 - 6*k**5/55 - k**4/11 + 382. Factor c(h).
-2*h**3*(h + 1)*(h + 2)/11
Let u be 16/7 - (-2)/(-7). Determine z so that 0 + 4*z + 3*z**u - 5*z**2 - 2 = 0.
1
Let k(b) = b**2 + 22*b + 115. Let u be k(-14). Let s(l) be the first derivative of u + l**3 + 9/2*l**2 + 0*l. Factor s(x).
3*x*(x + 3)
Let f be (-3 - -7) + (-4)/2. Let h be (38/f + -2)*3. Factor 15 + 2*v**4 + 1 + 11*v - 14*v**3 - h*v + 36*v**2.
2*(v - 2)**3*(v - 1)
Let s(w) = -3*w**3 - 6*w**2 - 9*w + 6. Let n(l) = -3*l**3 - 6*l**2 - 8*l + 5. Let m be 616/(-99) - (-4)/18. Let t(c) = m*n(c) + 5*s(c). What is h in t(h) = 0?
-1, 0
Let r = 13856/3 - 4618. Let -r*m - 8/9 + 2/9*m**2 = 0. What is m?
-1, 4
Suppose -2*z + 5 = -1. Let b(g) be the first derivative of -1 - 6*g**2 + 3 + 12*g + g**z + 12*g**2. Factor b(y).
3*(y + 2)**2
Let o(u) = u**3 + u**2 - u - 3. Let h be o(0). Let k be 2 - (-3 - (h + 0)). Factor -3*s**k + 4*s - s + 3*s - 3.
-3*(s - 1)**2
Let y(h) = -2*h**3 - h**2. Let p = 30 + -25. Let q(w) = -4*w**3 - w**2 - w. Let a(f) = p*y(f) - 2*q(f). Determine u so that a(u) = 0.
-2, 0, 1/2
Factor -1291*g - 1556*g - 753*g + 240*g**2 - 8*g**3 + 4*g**3.
-4*g*(g - 30)**2
Let c(k) be the third derivative of 2*k**7/21 + 61*k**6/840 - 2*k**5/105 - k**4/42 - 26*k**2 + 2. Find f such that c(f) = 0.
-2/5, -2/7, 0, 1/4
Let j(b) be the second derivative of -2/9*b**2 + 1/54*b**6 - 11*b - 8/27*b**3 + 0 + 1/90*b**5 - 5/36*b**4. Suppose j(t) = 0. Calculate t.
-1, -2/5, 2
Find l such that 0*l - 14/9*l**3 + 0 - 2/3*l**2 = 0.
-3/7, 0
Let i be ((-3)/6)/((-1)/(-52)). Let v = 30 + i. Find q, given that -v*q**2 + 18*q**3 + 33 - 14*q**4 - 33 = 0.
0, 2/7, 1
Let f(h) = 7*h**2 - 4*h + 10. Let q be f(3). Let n = q + -58. Find v such that 0 + 0*v + 2/5*v**2 - 2/5*v**4 + 2/5*v**5 - 2/5*v**n = 0.
-1, 0, 1
Solve 2/5*l**2 + 3/5*l**5 - 14/5*l**3 - l**4 + 3/5 + 11/5*l = 0.
-1, -1/3, 1, 3
Let w(v) = v**3 - 26*v**2 + 167*v + 16. Let g be w(14). Factor 2/5*f**5 - g*f + 4/5 + 8/5*f**3 + 4/5*f**2 - 8/5*f**4.
2*(f - 2)*(f - 1)**3*(f + 1)/5
Let -3/7*a**2 - 3*a + 54/7 = 0. What is a?
-9, 2
Determine q so that 19*q - 18*q**3 - 19*q**3 - 3*q**4 + 46*q**3 - 6 - 21*q**2 + 2*q**4 = 0.
1, 6
Factor -281771*p**4 + 3*p**3 + 281772*p**4 + 2*p**3.
p**3*(p + 5)
Let k = 10550 - 94934/9. Factor -2/9*m**3 - 14/3*m + 4 + k*m**2.
-2*(m - 3)**2*(m - 2)/9
Let z(b) be the first derivative of -3*b**4/4 + 21*b**3 + 3*b**2/2 - 63*b - 9. Factor z(f).
-3*(f - 21)*(f - 1)*(f + 1)
Let w(q) be the third derivative of 0 + 0*q**3 - 12*q**2 + 0*q - 1/30*q**6 + 1/5*q**5 - 1/3*q**4. Factor w(i).
-4*i*(i - 2)*(i - 1)
Suppose -16/7*m + 18/7 - 2/7*m**2 = 0. What is m?
-9, 1
Let u be (2 + 1/(-2))*(-50)/(-15). Factor 0*b**2 + 0 + 0*b - 1/4*b**u + 1/4*b**3 + 0*b