4*o**4 + o**3 - 3*o. Let v(q) = -3*b(q) + 4*m(q). Factor v(y).
y**3*(y + 1)
Let p(y) = 3*y - 1. Let z be p(2). Solve -v**3 - 6*v**4 + v**2 - 2*v**5 - v**2 - 2*v**2 - z*v**3 = 0.
-1, 0
Let f(m) be the second derivative of 1/150*m**6 + 0 + 0*m**2 + 1/10*m**3 + 2*m - 1/12*m**4 + 1/100*m**5. Factor f(t).
t*(t - 1)**2*(t + 3)/5
Let p(r) be the first derivative of 5*r**6/18 + 9*r**5/5 + 25*r**4/6 + 4*r**3 + 4*r**2/3 + 2. Let p(z) = 0. What is z?
-2, -1, -2/5, 0
Let k(i) = -i**3 - 5*i**2 + 4*i + 2. Let h(z) = z**3 + 10*z**2 - 9*z - 5. Let w(f) = -2*h(f) - 5*k(f). What is p in w(p) = 0?
-2, 0, 1/3
Let i = -19 - -24. Let t(n) be the first derivative of 2 + 2/5*n**i - 2*n + 0*n**3 - n**4 + 2*n**2. Determine b so that t(b) = 0.
-1, 1
Let i(s) be the third derivative of -s**7/630 - s**6/180 - s**5/180 + 4*s**2. Factor i(r).
-r**2*(r + 1)**2/3
Suppose 0 = a + 3*a + 72. Let t be (-56)/60*a/7. Factor t*l**4 + 27/5*l**2 + 3/5*l - 3/5 + 33/5*l**3.
3*(l + 1)**3*(4*l - 1)/5
Let a(b) be the third derivative of -b**6/300 + b**4/20 + 2*b**3/15 - 14*b**2. Let a(s) = 0. What is s?
-1, 2
Suppose -5*t + 4*x = 0, -3*t = -0*x + x - 17. Solve b**2 + 0 + 2 + t*b + b**2 = 0 for b.
-1
Let j(o) = -20*o - 4. Let i be j(3). Let g = i + 257/4. Factor 0 + g*u**2 - 1/4*u**4 + 0*u - 1/4*u**5 + 1/4*u**3.
-u**2*(u - 1)*(u + 1)**2/4
Let z(b) = -241*b**3 - 704*b**2 - 461*b - 94. Let w(f) = 2170*f**3 + 6335*f**2 + 4150*f + 845. Let n(i) = 4*w(i) + 35*z(i). Factor n(v).
5*(v + 2)*(7*v + 3)**2
Factor -3/5 - 1/10*c + 1/10*c**2.
(c - 3)*(c + 2)/10
Let q(j) be the third derivative of j**8/1512 + 2*j**7/315 + 7*j**6/270 + 8*j**5/135 + j**4/12 + 2*j**3/27 - 6*j**2. Solve q(y) = 0 for y.
-2, -1
Factor -2*o**4 - 1/3*o**5 - 2/3 - 3*o - 16/3*o**2 - 14/3*o**3.
-(o + 1)**4*(o + 2)/3
Let a be 16/(-28)*((-27)/6 - -1). Factor -9/4 + 3/2*z - 1/4*z**a.
-(z - 3)**2/4
Let s(n) be the first derivative of -4 - 8/9*n + 4/9*n**2 - 2/27*n**3. Factor s(a).
-2*(a - 2)**2/9
Let c(o) = o**2 + 3*o + 2. Let m be c(0). Let 14/5*i**m - 6/5*i**3 - 2*i + 2/5 = 0. What is i?
1/3, 1
Let s(j) be the second derivative of 3*j**5/20 - j**4/2 - 2*j**3 + 12*j**2 - 3*j. Factor s(v).
3*(v - 2)**2*(v + 2)
Let h(y) be the first derivative of -5 - 1/5*y**2 + 0*y**3 - 1/15*y**6 + 0*y**5 + 0*y + 1/5*y**4. Factor h(l).
-2*l*(l - 1)**2*(l + 1)**2/5
Suppose 2*y - 5*l - 21 = 0, -4*y - l = -3*l - 18. Factor 8*q**2 + 0*q**3 + 3*q**3 + 4*q**y - 3*q**3.
4*q**2*(q + 2)
Let r(m) be the first derivative of m**4/6 + 2*m**3/3 - m**2/3 - 2*m + 3. Find p, given that r(p) = 0.
-3, -1, 1
Let o = -1/20 - -43/60. Let y(k) be the second derivative of 3*k - 1/2*k**4 + 1/15*k**6 + o*k**3 + 0*k**5 + 0*k**2 + 0. Factor y(z).
2*z*(z - 1)**2*(z + 2)
Let z(t) be the second derivative of -t**7/126 - t**6/30 - t**5/60 + t**4/12 + t**3/9 + 4*t + 2. Solve z(q) = 0 for q.
-2, -1, 0, 1
Let q(a) be the second derivative of -a**4/48 - a**3/6 - a**2/2 - a. Suppose q(n) = 0. Calculate n.
-2
Let z be -57*(-1 + 6/9). Let n = z + -13. Let f(k) = -2*k**3 - 4*k**2 + 8*k - 2. Let v(i) = -i**3 - 4*i**2 + 7*i - 2. Let q(t) = n*v(t) - 4*f(t). Factor q(l).
2*(l - 2)*(l - 1)**2
Let b = 127/15 - 7. Let m(c) be the second derivative of b*c**6 + 19/5*c**5 + 2*c**2 + 5/21*c**7 + 16/3*c**4 - 2*c + 13/3*c**3 + 0. Let m(u) = 0. What is u?
-1, -2/5
Factor -4*v**3 + 8*v**3 + 2*v**4 - 4*v + 0*v**3 - 2*v**2.
2*v*(v - 1)*(v + 1)*(v + 2)
Let q(c) be the third derivative of -1/14*c**4 + 0*c - 4/21*c**3 + 9/280*c**6 + 3/70*c**5 + 0 + 4*c**2. Factor q(s).
(3*s - 2)*(3*s + 2)**2/7
Suppose l - 5*l + 12 = 0. Suppose -n + 3*x = -1, 0*n + 5*x = -5*n + 5. Factor -5*i**l + 6*i**2 - n - 1 + i**3.
-2*(i - 1)**2*(2*i + 1)
Let x(c) be the second derivative of c**4/66 + c**3/11 + 2*c**2/11 - 23*c + 1. Factor x(y).
2*(y + 1)*(y + 2)/11
Let m(l) be the second derivative of -l**7/1400 + l**6/600 - l**3/3 + 5*l. Let t(a) be the second derivative of m(a). Solve t(z) = 0 for z.
0, 1
Let n(b) = -2*b - 1. Let c(w) = w**2 + 4*w. Let k be c(-3). Let z be n(k). Factor -2/9*m**z + 0*m**2 + 0 + 0*m**3 + 0*m - 2/9*m**4.
-2*m**4*(m + 1)/9
Factor 7*v + 68*v**2 - 3*v + 4 - 4*v**2 + 28*v.
4*(4*v + 1)**2
Let l(z) = 2*z**2 - 5*z - 4. Let f be l(4). Let o be f/12 - 11/(-6). Let -1 + 3/2*y**4 - 5/2*y - 1/2*y**2 + o*y**3 = 0. Calculate y.
-1, -2/3, 1
Let f(m) = -3*m**3 - 3*m**2 - 4*m. Let r(t) = -3*t**3 - 3*t**2 - 3*t. Let u(c) = 3*f(c) - 4*r(c). Factor u(s).
3*s**2*(s + 1)
Let v(r) = r**2 - 6*r. Let c be v(6). Factor c*i**2 + i - i**2 - 3*i**2 + 3*i**2.
-i*(i - 1)
Let z(p) be the third derivative of -2*p**2 + 1/210*p**6 + 0*p + 0*p**3 + 0*p**4 + 0*p**5 + 5/1176*p**8 + 0 + 1/105*p**7. Factor z(h).
2*h**3*(h + 1)*(5*h + 2)/7
Let m(n) = 4*n**4 - n**3 + 6*n**2 + 6*n. Let v(q) = -5*q**4 + q**3 - 7*q**2 - 7*q. Let t(i) = -6*m(i) - 5*v(i). Determine f, given that t(f) = 0.
-1, 0, 1
Let f(i) be the third derivative of -i**7/3360 - i**6/960 + i**5/80 - i**4/6 + 8*i**2. Let q(z) be the second derivative of f(z). Factor q(v).
-3*(v - 1)*(v + 2)/4
Let u(y) = -3*y - 39. Let f be u(-13). Factor 0*z**4 + 0 - 2/7*z**5 + 0*z**2 + 2/7*z**3 + f*z.
-2*z**3*(z - 1)*(z + 1)/7
Let o(d) = -6*d**2 - 9*d - 12. Let t(v) = 7*v**2 + 8*v + 13. Let p(n) = -4*o(n) - 3*t(n). Factor p(x).
3*(x + 1)*(x + 3)
Factor 0*z + 1/5 - 1/5*z**2.
-(z - 1)*(z + 1)/5
Let v(w) be the second derivative of -w**7/2520 + w**4/12 + 3*w. Let k(q) be the third derivative of v(q). Factor k(n).
-n**2
Let g = 53 + -88. Let q = -32 - g. Solve 0*o - 2/7*o**2 + 2/7*o**q + 0 = 0.
0, 1
Let t(w) = -23*w**4 - 18*w**3 + 5*w**2 - 17*w - 17. Let v(p) = 8*p**4 + 6*p**3 - 2*p**2 + 6*p + 6. Let d(r) = 6*t(r) + 17*v(r). Factor d(l).
-2*l**2*(l + 1)*(l + 2)
Let t(z) = -10*z**3 + 15*z - 10. Let i(b) = 9*b**3 - 15*b + 10. Let r(o) = -5*i(o) - 4*t(o). Factor r(v).
-5*(v - 1)**2*(v + 2)
Let v(o) be the second derivative of -3*o + 0*o**3 + 0 - 1/60*o**6 + 1/24*o**4 + 0*o**2 + 0*o**5. Solve v(f) = 0 for f.
-1, 0, 1
Let h(k) be the first derivative of 5/4*k**3 + 1/4*k + 5 - 9/16*k**4 - 7/8*k**2. Suppose h(j) = 0. Calculate j.
1/3, 1
Let i(w) be the third derivative of -1/24*w**4 - 2*w**2 - 1/60*w**5 + 0*w**3 + 1/60*w**6 + 0*w + 0. Suppose i(k) = 0. Calculate k.
-1/2, 0, 1
Find v such that 3*v**2 - 14*v**3 - 8 + 16*v - 5*v**2 - 2*v**5 + 26*v**4 - 16*v**4 = 0.
-1, 1, 2
Let p(h) = -18*h**2 + 44. Let o(w) = 6*w. Let v be o(-1). Let a(u) = -2*u**2 + 5. Let y(n) = v*p(n) + 52*a(n). Factor y(m).
4*(m - 1)*(m + 1)
Let o(t) be the third derivative of 3*t**7/455 - 7*t**6/260 + 8*t**5/195 - t**4/39 + 11*t**2. Determine i, given that o(i) = 0.
0, 2/3, 1
Let j(b) be the first derivative of b**6/3 + 2*b**5/5 - b**4 - 4*b**3/3 + b**2 + 2*b - 10. Factor j(l).
2*(l - 1)**2*(l + 1)**3
Let d(k) = -k**3 + k**2 - 1. Let f(h) = -2*h**4 + 6*h**3 + 8*h**2 + 12*h + 6. Let r(i) = 6*d(i) + f(i). Find p, given that r(p) = 0.
-2, -1, 0, 3
Let v(f) = -f**2 - 33*f - 272. Let b be v(-17). What is y in 0*y + b + 7/3*y**4 + 0*y**2 + 2/3*y**3 = 0?
-2/7, 0
Let g = 3 - 5. Let k be g + (16/(-6))/(-1). Factor -k + 1/3*v**2 - 1/3*v.
(v - 2)*(v + 1)/3
Let p be (-5)/(1/2 - 1). Factor 14*r**2 - 6 - 17*r**2 + p*r - r.
-3*(r - 2)*(r - 1)
Find d such that 1/8*d**2 + 1/4*d - 3/8 = 0.
-3, 1
Let a(n) be the first derivative of -n**3/3 + 7. Factor a(t).
-t**2
Let d(w) be the third derivative of w**5/180 + 5*w**4/72 - w**3/3 + 2*w**2 + 14*w. Suppose d(y) = 0. What is y?
-6, 1
Suppose 0*p - 8 = -2*p - 2*a, 25 = 4*p - 5*a. Suppose -4*i + 5 = -p*x - 3, -2*x = -5*i + 10. What is q in 17*q**2 - 3*q**3 - 17*q**i = 0?
0
Let j(h) be the second derivative of -h**5 - 22*h**4/3 - 56*h**3/3 - 16*h**2 - 5*h. Find u, given that j(u) = 0.
-2, -2/5
Let j = 90 + -88. Let n(o) be the first derivative of 0*o**j + 2/27*o**3 - 2 - 1/18*o**4 + 0*o. Suppose n(w) = 0. What is w?
0, 1
Let k = -207 + 209. Solve 2/13 - 2/13*q**k - 2/13*q**3 + 2/13*q = 0 for q.
-1, 1
Let c(v) be the third derivative of -v**8/294 - 3*v**7/245 - v**6/70 - v**5/210 - 32*v**2. Find b, given that c(b) = 0.
-1, -1/4, 0
Let y be -1 - 2 - (-13)/4. Suppose -5 = 12*t - 29. Suppose 0*i**t + 0*i + 0 + 1/4*i**5 - y*i**3 + 0*i**4 = 0. Calculate i.
-1, 0, 1
Let l be (-7 - -3)*(-15)/12. Determine x, given that 0*x + 1/2*x**2 + 0 - 7/4*x**l - 3/4*x**3 - 3*x**4 = 0.
-1, 0, 2/7
Let s(u) = -12*u**2 - 100*u - 144. Let n(