/110880 - z**9/6720 + z**8/3360 - 4*z**5/15 + 8*z**2. Let h(y) be the third derivative of w(y). Factor h(l).
3*l**2*(l - 1)**2*(l + 2)
Let b(q) be the first derivative of q**3/3 + 25*q**2/2 + 24*q + 286. Let b(u) = 0. Calculate u.
-24, -1
Find b such that -40*b**3 + 114*b**2 + 164*b**3 - 39*b**3 - 40*b**3 - 42*b**3 = 0.
-38, 0
Let x be (-6)/(-15)*-8*1/(-16). Factor x*w**2 - 1/5*w**4 + 0*w + 0*w**3 + 0.
-w**2*(w - 1)*(w + 1)/5
Let t be ((-6)/7)/(5/35). Let a be 4 + 81/(-165) - t/(-10). Factor 2/11*u**2 - 16/11*u + a.
2*(u - 4)**2/11
Let p = 129 + -128. Let v be p + (-7 - (4 + -10)). Solve v*w + 2/7*w**2 + 0 - 2/7*w**3 - 2/7*w**4 + 2/7*w**5 = 0.
-1, 0, 1
Let f(r) = 2*r**2 + 2*r - 1. Let t be (50/(-75))/((-2)/3). Let g(w) = w**2 + w + 1. Let o(h) = t*f(h) - g(h). Factor o(i).
(i - 1)*(i + 2)
Let s be (-52)/130*(1 + 0)/((-3)/15). Factor 0 + 2/3*r**2 - s*r.
2*r*(r - 3)/3
Let l = 5330 + -5328. Factor -6/5 - 2/5*x**l + 8/5*x.
-2*(x - 3)*(x - 1)/5
Factor 3356/13*j**2 + 7224/13*j + 2/13*j**4 - 168/13*j**3 + 3698/13.
2*(j - 43)**2*(j + 1)**2/13
Let 1342*x - 580*x + 1740*x**2 + 963*x + 20*x**3 + 430 = 0. Calculate x.
-86, -1/2
Suppose -10 + 13 = f. Let r(p) be the first derivative of 3 + 0*p**5 + 9/2*p**2 + 1/2*p**6 - f*p**4 + 2*p**3 - 6*p. Factor r(m).
3*(m - 1)**3*(m + 1)*(m + 2)
Let u be 40/(-48) + (-21)/(-14). Let b(j) be the first derivative of 0*j**2 - 13 + u*j**3 + 1/2*j**4 - 2/5*j**5 - 1/3*j**6 + 0*j. Factor b(q).
-2*q**2*(q - 1)*(q + 1)**2
Let l(r) = -r**2 + 397*r - 1572. Let v be l(4). Determine b so that -21*b**5 - 22*b**4 + 101/3*b**3 - 12*b**2 + v + 4/3*b = 0.
-2, 0, 2/7, 1/3
Let 1/2*q**3 + 1/2*q**2 - 2*q - 2 = 0. Calculate q.
-2, -1, 2
Let t(c) be the third derivative of -c**6/180 - 2*c**5/15 + 5*c**4/12 + 26*c**3/9 - 172*c**2. Determine g so that t(g) = 0.
-13, -1, 2
Factor -5/3*p**2 + 32/3*p - 1/3*p**3 - 12.
-(p - 2)**2*(p + 9)/3
Suppose 0 - 72/5*d**3 - 27*d**2 - 66/5*d - 3/5*d**4 = 0. What is d?
-22, -1, 0
Let j(p) = -5*p**2 - 67*p + 64. Let d(g) = -42*g**2 - 537*g + 513. Let m(u) = -4*d(u) + 33*j(u). Solve m(t) = 0.
1, 20
Let q = -210/53 - -1576/371. Factor -q*w + 0 - 4/7*w**4 + 0*w**3 + 2/7*w**5 + 4/7*w**2.
2*w*(w - 1)**3*(w + 1)/7
Let n = 243 - 255. Let d be (-260)/80 - n/3. Solve -3/4 - d*p**2 - 3/2*p = 0.
-1
Determine g so that 8/7*g**2 - 12/7*g**3 + 0 + 0*g + 4/7*g**4 = 0.
0, 1, 2
Suppose 4*x - 8 = -2*c, 0 = -5*c + 611*x - 608*x + 7. Let p(d) be the first derivative of c - 2/17*d + 2/51*d**3 + 0*d**2. Factor p(l).
2*(l - 1)*(l + 1)/17
Let r(u) = 6 + 9 - 6*u + 7*u. Let a be r(-9). Factor -2*h + 4 + 14*h**3 - 8*h - 4*h - 10*h**2 + a*h**2.
2*(h - 1)*(h + 1)*(7*h - 2)
Let x(d) be the third derivative of d**7/504 + d**6/144 - d**5/12 - 5*d**4/24 - 14*d**2. Let y(f) be the second derivative of x(f). Factor y(t).
5*(t - 1)*(t + 2)
Let z(n) be the first derivative of -n**4/2 - 4*n**3/3 + 20*n**2 - 48*n - 67. Factor z(y).
-2*(y - 2)**2*(y + 6)
Let d be (2 + 37)*2/6. Let s = -9 + d. Let -2*w**5 + 2*w**2 + 0*w**5 + s*w**4 - 6*w**3 + 2*w**4 + 0*w**3 = 0. What is w?
0, 1
Let j(s) = 2*s**2 + 5*s + 3. Let y(t) = -t**2 - 5*t - 4. Let o(w) = 4*j(w) + 3*y(w). Suppose o(g) = 0. What is g?
-1, 0
Let d(c) be the second derivative of c**9/1512 + c**8/280 - c**6/45 - 3*c**3 - 45*c. Let f(b) be the second derivative of d(b). Suppose f(h) = 0. Calculate h.
-2, 0, 1
Let f(d) be the second derivative of 0 - 5*d - 1/2*d**3 + 1/2*d**2 + 1/6*d**4. Factor f(x).
(x - 1)*(2*x - 1)
Let s be -7 - -2 - 2952/(-567) - (-2)/9. Determine x so that 0 + 9/7*x**3 - 12/7*x + 0*x**2 + s*x**4 = 0.
-2, 0, 1
Let q(m) be the first derivative of m**5 - 5*m**4/2 - 20*m**3 + 20*m**2 + 160*m - 73. Factor q(o).
5*(o - 4)*(o - 2)*(o + 2)**2
Let w(d) be the second derivative of 1/80*d**6 + 14*d + 0*d**2 + 0 + 1/336*d**7 + 0*d**5 + 0*d**3 - 1/24*d**4. Determine j so that w(j) = 0.
-2, 0, 1
Let l be ((-6)/(-2) - 1) + 37 + -9. Let p be (6/(-18))/((-2)/l). Factor h**2 + 0 - 1/2*h - h**4 + 0*h**3 + 1/2*h**p.
h*(h - 1)**3*(h + 1)/2
Let q(h) be the second derivative of h**5/165 - h**4/132 - h**3/33 + 3*h**2/2 - 4*h. Let x(s) be the first derivative of q(s). Suppose x(z) = 0. Calculate z.
-1/2, 1
Let q(f) be the third derivative of -27*f**2 - 1/9*f**3 + 0 + 1/180*f**5 + 1/72*f**4 + 0*f. Factor q(r).
(r - 1)*(r + 2)/3
Let 150 + 3/2*b**2 - 30*b = 0. Calculate b.
10
Let j(d) = -d**2 + 12*d + 5. Let k = 16 + -4. Let i be j(k). What is t in -3*t**3 + t**3 + 7*t**2 + i*t**3 + 2*t**3 + 2*t = 0?
-1, -2/5, 0
Suppose 22 + 133 = 5*s. Find j, given that -s + 23 + 32*j + 14*j**2 - 8*j = 0.
-2, 2/7
Suppose 0*f = -4*f - t + 10, -2*f + 2*t = 0. Let q = 5 + 0. What is s in -2*s**2 + 8*s**f + q*s**3 - 2*s**4 - 7*s**3 - 4 + 2*s = 0?
-2, -1, 1
Let x be (-180)/(-75)*13/4. Factor 0 - 9/5*l**5 + 0*l + 12/5*l**2 - 48/5*l**3 + x*l**4.
-3*l**2*(l - 2)**2*(3*l - 1)/5
Suppose 22*c - 25*c + 6 = 0. Let h(v) be the first derivative of 1/9*v**3 - v**c + 3*v - 5. Find b, given that h(b) = 0.
3
Suppose -46*o + 36 = -28*o. Let m(g) be the second derivative of 1/12*g**3 - 2*g - 1/48*g**4 + 0 + 0*g**o. Let m(c) = 0. What is c?
0, 2
Let z(w) = -2*w**3 - 23*w**2 - 103*w. Let r(y) = -y**3 - 11*y**2 - 52*y. Let p(x) = -10*r(x) + 6*z(x). Solve p(m) = 0 for m.
-7, 0
Let f(r) = 6*r**4 + 6*r**3 + 15*r + 15. Suppose 2*o = 4 - 8. Let y(s) = -s**4 - s**3 - 2*s - 2. Let b(l) = o*f(l) - 15*y(l). Find i, given that b(i) = 0.
-1, 0
Let u(m) be the third derivative of 0 - 1/60*m**6 - 4/3*m**4 + 0*m + 0*m**3 - 9*m**2 + 4/15*m**5. Solve u(z) = 0 for z.
0, 4
Let q(o) be the second derivative of 5*o**4/12 + 70*o**3/3 + 490*o**2 + o - 122. Solve q(u) = 0.
-14
Let n(j) = j**4 + j**3 + j. Let x = 116 + -115. Let r(v) = v**5 + 4*v**4 + 6*v**3 + 2*v**2 + 5*v. Let a(y) = x*r(y) - 6*n(y). Factor a(g).
g*(g - 1)**3*(g + 1)
What is z in 17*z**4 - z**4 + 4*z**5 + 2*z - 72*z**2 - 2*z - 12*z**3 = 0?
-3, 0, 2
Let n(f) be the second derivative of -1/120*f**5 - 1/24*f**4 + 0 - 1/252*f**7 + 0*f**2 + 1/60*f**6 + 32*f + 1/18*f**3. Determine t, given that n(t) = 0.
-1, 0, 1, 2
Let b = 50 - -38. Suppose b*n - 82*n = 0. Solve n*c - 3/5*c**2 + 0 + 3/5*c**3 = 0.
0, 1
Factor 2/7*p**2 - 892/7*p + 99458/7.
2*(p - 223)**2/7
Let c = 18 - 12. Suppose -v + 14 = c*v. Factor 21 - 48*k - 12*k**v - 28 - 57 - k**3.
-(k + 4)**3
Let w(i) = 2*i**3 - 6*i**2 + 11. Let y(d) = 4*d**3 - 16*d**2 + 25. Let j(f) = -f**2 + 1. Let l(k) = 4*j(k) - y(k). Let r(q) = 6*l(q) + 10*w(q). Factor r(g).
-4*(g - 2)**2*(g + 1)
Let d(p) = -p + 13. Let q be d(11). Suppose -8*v + 14*v + 6*v + 4*v**2 - v**q = 0. Calculate v.
-4, 0
Determine n so that 4*n**4 - 3580*n + 2*n**3 + 3576*n + 2*n**4 + 3*n**5 - 6*n**2 - n**5 = 0.
-2, -1, 0, 1
Suppose -5*f + 41 + 14 = 0. Factor -f + 21*t**2 - 26*t**2 - 15*t + 1.
-5*(t + 1)*(t + 2)
Let h(a) be the first derivative of -a**4/18 + 10*a**3/27 + a**2/9 - 10*a/9 + 77. Solve h(d) = 0.
-1, 1, 5
Let k(s) be the first derivative of 3/28*s**4 - 20 + 3/7*s**3 + 0*s**2 + 0*s. Factor k(r).
3*r**2*(r + 3)/7
Let x = -76 + 80. Find c, given that 8*c**3 - 5*c**4 - 6*c**x + 12*c**4 + 16*c**2 = 0.
-4, 0
Suppose 4*p - 5*s = 18, -s - 2 = 3*p + 3*s. Suppose p = 2*k + 2*v, 6*k - 9 = 3*k + 3*v. Factor -3/7*r**3 + 3/7 + 9/7*r**k - 9/7*r.
-3*(r - 1)**3/7
Let f(r) be the second derivative of -1/21*r**7 - 7/6*r**4 + 4*r**2 + 0 + r + 1/5*r**6 + 0*r**3 + 1/10*r**5. Solve f(w) = 0 for w.
-1, 1, 2
Let m(t) be the third derivative of -1/70*t**7 + 0 - 1/2*t**6 - 625/2*t**3 - 18*t**2 - 125/2*t**4 + 0*t - 15/2*t**5. Let m(a) = 0. Calculate a.
-5
Let u**2 - 3/2*u + 1/2*u**3 + 0 = 0. What is u?
-3, 0, 1
Let l(o) be the first derivative of -34 - 64/15*o**5 + 52*o**2 + 104/3*o**4 - 772/9*o**3 - 12*o. Factor l(s).
-4*(s - 3)**2*(4*s - 1)**2/3
Suppose j + 20 = 6*j. Find r such that j*r**3 - 12*r**4 + 2*r**4 + r**3 + 5*r**5 + 0*r**4 = 0.
0, 1
Let o(u) be the third derivative of -u**8/1512 + 2*u**7/315 + 2*u**6/45 + 13*u**5/135 + u**4/12 - 11*u**2. Factor o(y).
-2*y*(y - 9)*(y + 1)**3/9
Let g(f) be the second derivative of -1/15*f**6 + 0*f**3 + 0*f**2 - 1/5*f**5 + 0 + 26*f + 1/21*f**7 + 0*f**4. Suppose g(y) = 0. Calculate y.
-1, 0, 2
Let w(j) be the third derivative of 0*j**3 + 0*j + 0 - 1/210*j**5 - 27*j**2 - 5/84*j**4. Let w(b) = 0. Calculate b.
-5, 0
Let k(d) = -3025*d**3 + 7986*d**2 + 3233*d + 289. Let o(t) 