-2*b. Factor 0 + 1/2*f - 1/6*f**b.
-f*(f - 3)/6
Let n be (-27 + 17)*(-1)/5. Factor 39*t**3 - 7*t**2 + 52*t**2 + 3*t**5 + 12*t + 18*t**4 - 9*t**n.
3*t*(t + 1)**2*(t + 2)**2
Determine d so that -31*d**3 + 824 - 11*d**4 + 4*d - 824 - 16*d**2 = 0.
-2, -1, 0, 2/11
Let j be (-73)/(-210) + 19/(-57). Let z(f) be the third derivative of -j*f**7 + 0*f**5 - 1/4*f**4 + 0*f + 1/2*f**3 + 3*f**2 + 1/20*f**6 + 0. Factor z(s).
-3*(s - 1)**3*(s + 1)
Let n = -169352916/1927835 - -2/148295. Let a = n - -88. Factor 8/13 + a*h**2 + 10/13*h.
2*(h + 1)*(h + 4)/13
Let a(h) = -313*h + 1252. Let i be a(4). Find f, given that -4/3*f + 8/3*f**5 - 2*f**2 - 10*f**4 + i + 32/3*f**3 = 0.
-1/4, 0, 1, 2
Let q be (-2)/(-4 + (-28)/(-8)). Let f(s) be the first derivative of -10/21*s**3 + 0*s - 2/7*s**q - 2/35*s**5 + 3 - 2/7*s**2. Solve f(u) = 0 for u.
-2, -1, 0
Suppose 57*c = 54*c + 15. Factor 3 - c*r**3 + 747*r - 732*r + 7.
-5*(r - 2)*(r + 1)**2
Let r(o) be the second derivative of o**7/280 + o**6/120 - o**5/40 - o**4/8 - 4*o**3/3 - 31*o. Let x(s) be the second derivative of r(s). Factor x(h).
3*(h - 1)*(h + 1)**2
Let f(x) = 11*x**2 + 16*x - 11. Let n(j) = -9*j**2 - 13*j + 10. Let g(c) = 4*f(c) + 5*n(c). Suppose g(a) = 0. Calculate a.
-3, 2
Let x(r) be the third derivative of -19*r**5/210 + 3*r**4/7 + 4*r**3/21 - 73*r**2. Factor x(p).
-2*(p - 2)*(19*p + 2)/7
Let y(x) = x - 6. Let t be y(10). Determine b so that 0*b**2 + 2*b**2 - t*b**2 - 30*b + 7*b**2 = 0.
0, 6
Let i be 4/12*((-105)/(-25) - 3). Factor 6/5*a - 2/5 - 6/5*a**2 + i*a**3.
2*(a - 1)**3/5
Let w(m) = -m + 11. Let t be w(8). Suppose 3*v - 2*z - z - 18 = 0, 6 = -3*v - t*z. Factor -23*r**2 + 18*r**3 - 3*r**2 - 4*r + 4*r**3 + 8*r**v.
2*r*(r - 1)*(11*r + 2)
Let a(f) be the first derivative of f**6/180 - 4*f**5/15 + 16*f**4/3 - 25*f**3/3 + 21. Let x(y) be the third derivative of a(y). Determine v so that x(v) = 0.
8
Let a be 1 + -5 + (-14368)/(-616). Let m = a - 134/7. Determine d, given that 2/11*d**4 - 2/11*d - 4/11*d**2 - m*d**5 + 4/11*d**3 + 2/11 = 0.
-1, 1
Let d be (6/8)/(37/148 + 50/16). Suppose 4/9*z - 2/9 - d*z**2 = 0. Calculate z.
1
Let o be (-32*21/(-3276))/(8/6). Factor -2/13*g**3 - o*g**2 + 10/13*g - 6/13.
-2*(g - 1)**2*(g + 3)/13
Let x = 3445 + -20621/6. Let j(t) be the first derivative of 16/3*t + 28*t**3 - 1 - 20*t**2 - x*t**4. Solve j(f) = 0 for f.
2/7, 2
Let l(u) = u + 11. Let q be l(-8). Let r(v) be the first derivative of -2 + 3/5*v**5 + 3/2*v**4 - 3*v + 0*v**q - 3*v**2. What is s in r(s) = 0?
-1, 1
Let q = 236 - 145. Let z be 16/(-154) - (-26)/q. Factor 2/11*b**2 - z*b - 4/11.
2*(b - 2)*(b + 1)/11
Let x(b) be the third derivative of -23*b**2 + 0*b + 1/36*b**4 + 0*b**3 - 1/180*b**5 + 0. Factor x(u).
-u*(u - 2)/3
Solve 88/5*j - 136/5*j**4 - 222/5*j**3 + 256/5*j**2 + 0 + 14/5*j**5 = 0 for j.
-2, -2/7, 0, 1, 11
Let c(x) = x**3 + 10*x**2 + 16*x. Let m be c(-8). Let r be 100/26 + -3 + (-41)/(-13). Let 1/2*q**3 + 0*q**2 - 1/2*q**r + 0*q + m = 0. What is q?
0, 1
What is h in -9*h**2 - 4*h - 15*h**2 + 20*h**2 + 48 = 0?
-4, 3
Factor -2/9*l**3 + 14/9*l**2 - 8/3 - 8/9*l.
-2*(l - 6)*(l - 2)*(l + 1)/9
Let x = 1341 + -1341. Factor -2/3*r**2 + x + 4/3*r.
-2*r*(r - 2)/3
Let v(l) be the second derivative of l**5/12 + 5*l**4/12 + 5*l**3/9 + 3*l + 2. Let v(b) = 0. What is b?
-2, -1, 0
Let m(j) = -8*j**2 - 254*j - 98. Let i(v) = 15*v**2 + 508*v + 195. Let o(f) = 4*i(f) + 10*m(f). Find y such that o(y) = 0.
-25, -2/5
Let m(x) = -2*x**3 - 21*x**2 - 13*x. Let s(v) = -6*v**3 - 62*v**2 - 36*v. Let d(h) = 20*m(h) - 6*s(h). Suppose d(q) = 0. What is q?
-11, -1, 0
Let z = -3/662 + 13249/1986. Let q be 0 + (-120)/18 + 10. Let q*j**3 + 20/3*j**4 + 0 - 5*j**5 + 5/3*j - z*j**2 = 0. What is j?
-1, 0, 1/3, 1
Let f = 857 + -852. Let m(l) be the second derivative of -1/120*l**6 + 0*l**3 + 0*l**2 - 1/80*l**f - 7*l + 1/24*l**4 + 0. Factor m(u).
-u**2*(u - 1)*(u + 2)/4
Let z(x) = -8*x**2 + 14*x - 6. Let i(a) = -3*a**2 + 21*a. Let g(d) = -d**2 - d - 1. Let s(v) = -6*g(v) - i(v). Let r(h) = -5*s(h) - 6*z(h). Factor r(o).
3*(o - 2)*(o - 1)
Let k(o) be the first derivative of -3*o**4/4 + 6*o**3 + 3*o**2/2 - 18*o + 280. Factor k(y).
-3*(y - 6)*(y - 1)*(y + 1)
Factor 16*c - 26/3*c**2 + 1/3*c**3 + 0.
c*(c - 24)*(c - 2)/3
Let m(t) be the first derivative of 3*t**7/35 - 29*t**6/60 + t**5/5 + 3*t**4 - 8*t**3/3 + 3*t**2/2 + 24. Let k(f) be the second derivative of m(f). Factor k(s).
2*(s - 2)**2*(s + 1)*(9*s - 2)
Let r(m) be the first derivative of 15 - 5*m**3 - 5/4*m**4 + 0*m - 5*m**2. Factor r(y).
-5*y*(y + 1)*(y + 2)
Factor 0 - 5/3*i**2 + 0*i + 1/3*i**5 - 3*i**3 - i**4.
i**2*(i - 5)*(i + 1)**2/3
Let j(i) be the third derivative of -i**6/660 - 2*i**5/55 + 31*i**4/132 + 14*i**3/11 - 88*i**2 + 2. Factor j(n).
-2*(n - 3)*(n + 1)*(n + 14)/11
Let i = 95/6 + -46/3. Let x be (0 - -3) + 18/(-3 - 3). Factor x - i*c**4 + 0*c**2 + 0*c - 1/2*c**5 + 0*c**3.
-c**4*(c + 1)/2
Let r(h) be the first derivative of -3/4*h**4 - 5/3*h**3 + 0*h + 7 + h**2. Factor r(q).
-q*(q + 2)*(3*q - 1)
Let q(o) = o**2 - o. Let t(c) = -14*c**3 - 15*c**2 - 7*c. Let x be (-35)/(3 + 2) + 4. Let v(r) = x*q(r) + t(r). Find l, given that v(l) = 0.
-1, -2/7, 0
Let p be (80/(-4))/(6/(-3) + 0). Let i be (-16)/(-40) + 46/p. Factor -1/2*c**4 + 0 - 3/2*c**3 + c + 1/2*c**i + 1/2*c**2.
c*(c - 2)*(c - 1)*(c + 1)**2/2
Let s(t) = -26*t**3 - t. Let b be s(-1). Let q = b - 25. Factor -u + u + q*u**2 - 6 + 2 - 2*u.
2*(u - 2)*(u + 1)
Let x = 7027 + -63241/9. Suppose 4/9 - x*q - 2/9*q**2 = 0. What is q?
-2, 1
Factor 10 + 2/11*s**2 - 112/11*s.
2*(s - 55)*(s - 1)/11
Factor 3 + 2 + 16*t**2 + 3 - 143*t + 4*t**3 + 163*t.
4*(t + 1)**2*(t + 2)
Factor 1/5*m**2 - 4/5*m - 21/5.
(m - 7)*(m + 3)/5
Solve 103 + 9*x - 3*x**3 - 50 - 53 + 6*x**2 = 0.
-1, 0, 3
Suppose -23*i + 105 = 14 + 22. Factor 0 - 20/3*q**2 + 5/3*q**i + 20/3*q.
5*q*(q - 2)**2/3
Let w(d) be the first derivative of 1/10*d**4 + 0*d**3 + 0*d**2 - 4/25*d**5 + 1/15*d**6 + 12 + 0*d. Suppose w(u) = 0. What is u?
0, 1
Let m(j) be the third derivative of j**8/60480 + j**7/540 + 49*j**6/540 - j**5/12 + j**4/6 - 30*j**2. Let s(q) be the third derivative of m(q). Factor s(n).
(n + 14)**2/3
Let r(k) be the second derivative of 0*k**3 - 3/10*k**6 + 0*k**2 + 0 - 9/20*k**5 - 1/14*k**7 - 1/4*k**4 + 8*k. Factor r(x).
-3*x**2*(x + 1)**3
Let l be (-68)/(-272) + (-1)/6. Let j(s) be the third derivative of -l*s**5 + 1/120*s**6 + 0*s + 7*s**2 - 2/3*s**3 + 1/3*s**4 + 0. Solve j(g) = 0 for g.
1, 2
What is o in -23/4*o**4 + 11*o**3 - 89/8*o + 1/8*o**5 + 11/2 + 1/4*o**2 = 0?
-1, 1, 44
Let p be 1/(-27)*49/((-980)/1320). Factor -10/9*v + 0 - 14/9*v**3 - 2/9*v**4 - p*v**2.
-2*v*(v + 1)**2*(v + 5)/9
Let -8 + 1/4*w**2 + w = 0. Calculate w.
-8, 4
Let f(u) be the third derivative of -u**8/1680 - 3*u**3/2 + 26*u**2. Let z(t) be the first derivative of f(t). Factor z(o).
-o**4
Suppose p = -14*p + 315. Let k = 64/3 - p. Let l**2 + l + 1/3*l**3 + k = 0. What is l?
-1
Let i = -4 - -8. Suppose m - 40 = -i*m. Factor 80*d**3 + 132*d**2 + m*d**4 + 7 + 9 + 80*d + 8*d**4.
4*(d + 2)**2*(2*d + 1)**2
Factor 17 - 15/2*p - 1/2*p**2.
-(p - 2)*(p + 17)/2
Let s(h) be the first derivative of -5*h**6/6 - h**5 + 15*h**4/4 + 25*h**3/3 + 5*h**2 - 40. Find a, given that s(a) = 0.
-1, 0, 2
Suppose 0*g + 19 = -4*x - g, 2*g - 22 = 4*x. Let o be (-1)/(x/21)*5. Let -1 - 6*c + o*c**2 - 6*c**2 + 1 = 0. What is c?
0, 2/5
Factor -1/6*z**3 + 0*z - 1/6*z**4 + 1/6*z**2 + 1/6*z**5 + 0.
z**2*(z - 1)**2*(z + 1)/6
Let p = 560 - 2796/5. Factor 2/5*s**2 - 6/5 + p*s.
2*(s - 1)*(s + 3)/5
Let u(j) be the second derivative of 0 + 0*j**3 + 0*j**2 - 1/9*j**4 + 1/60*j**5 - 22*j. Factor u(l).
l**2*(l - 4)/3
Let h(k) be the first derivative of -5*k**6/2 + 16*k**5 - 145*k**4/4 + 100*k**3/3 - 10*k**2 + 92. Suppose h(z) = 0. What is z?
0, 1/3, 1, 2
Let 3/5*x**3 + 63504/5*x + 756/5*x**2 + 1778112/5 = 0. What is x?
-84
Factor 15/4*w + 3/4*w**2 + 9/2.
3*(w + 2)*(w + 3)/4
Let v(y) be the third derivative of -y**8/84 + 2*y**7/21 - 7*y**6/30 - y**5/15 + 4*y**4/3 - 8*y**3/3 - 141*y**2. Find w, given that v(w) = 0.
-1, 1, 2
Let v(z) be the third derivative of 14*z**2 + 0*z**4 - 1/840*z**7 + 0*z**3 - 1/240*z**5 + 1/240*z**6 + 0 + 0*z. Factor v(m).
-m**2*(m - 1)**2/4
Let y(h) be the second derivative of 5*h**7/42 - h**6/6 - 5*h**5/4 + 5*h**4/12 + 20*h**