 + 0*o**2 + 6*o. Factor g(f).
-f**3*(f + 1)**2/4
Let b(t) = t**3 - t**2 + t. Let q be b(2). Suppose -q*w = -5*w - 4. Determine l so that 2*l**2 + 5*l**3 + l**3 + 7*l**w - 15*l**3 = 0.
0, 2/7, 1
Let x be 8/24 + (-2)/6. Let h(n) be the first derivative of 1/21*n**6 + 4/35*n**5 + x*n**3 + 1 + 0*n + 1/14*n**4 + 0*n**2. Factor h(v).
2*v**3*(v + 1)**2/7
Let f(o) be the third derivative of -o**5/4 - 3*o**4/2 - 2*o**3 - 27*o**2 + 2*o. Factor f(g).
-3*(g + 2)*(5*g + 2)
Suppose 2*c + 16*t - 14*t - 16 = 0, c - t = 0. Factor 3/5*a**3 - 3/5*a**c + 3/5*a**2 - 3/5*a + 0.
-3*a*(a - 1)**2*(a + 1)/5
Suppose -s + 14 = 3*k, 5*k - 37 = -2*s - 12. Let j(v) be the third derivative of 2*v**2 - 1/90*v**s + 0 + 0*v + 0*v**3 - 1/36*v**4 - 1/720*v**6. Factor j(u).
-u*(u + 2)**2/6
Let i(d) be the first derivative of d**5 + 5*d**4/4 - 35*d**3/3 - 65*d**2/2 - 30*d - 134. Factor i(m).
5*(m - 3)*(m + 1)**2*(m + 2)
Let f(u) be the third derivative of -u**6/30 + 27*u**5/5 - 729*u**4/2 + 13122*u**3 + 208*u**2. Factor f(c).
-4*(c - 27)**3
Let w(s) = 5*s**2 - 15*s - 5. Let p(a) = 4*a**2 - 7*a - 2. Let i(j) = -5*p(j) + 3*w(j). Let i(v) = 0. Calculate v.
-1
Let x(w) be the first derivative of -4/9*w**3 - 2/3*w**2 + 23 + 0*w. Solve x(n) = 0 for n.
-1, 0
Let z = 3948 - 3946. What is q in 46/7*q + 2*q**z + 12/7 = 0?
-3, -2/7
Let -2/11 - 4/11*f + 18/11*f**2 - 16/11*f**4 + 4/11*f**3 = 0. Calculate f.
-1, -1/4, 1/2, 1
Let k(u) be the first derivative of -u**6/2520 + u**5/420 - u**4/168 + 13*u**3/3 - 17. Let z(l) be the third derivative of k(l). Find q such that z(q) = 0.
1
Let k(i) be the first derivative of 40 + 0*i + 2/9*i**3 + 1/12*i**4 + 0*i**2. What is a in k(a) = 0?
-2, 0
Let z(y) be the first derivative of 2*y**6/3 + 42*y**5/5 - 20*y**4 - 30*y**3 + 38*y**2 + 48*y - 70. Suppose z(l) = 0. What is l?
-12, -1, -1/2, 1, 2
Let c = -121 + 371/3. Let t be -1*(-1)/((-3)/(-2)). Factor 8/3 + t*n**2 + c*n.
2*(n + 2)**2/3
Suppose -49 + 43 = -o. Let p(g) be the first derivative of 9/2*g**2 + g**3 - 5 + o*g. Factor p(t).
3*(t + 1)*(t + 2)
Let n(q) = -2*q + 3. Let m be n(2). Let l = 5 + m. Find d such that 0*d**4 + d**2 + 4*d**2 - 2*d**2 - 3*d**l = 0.
-1, 0, 1
Suppose -z + 26 = -6. Let g be (z/(-30))/(12/(-40)). Determine k, given that -80/9*k**2 - 34/9*k - g*k**3 - 4/9 = 0.
-2, -1/4
Let t = -723 + 728. Let z(w) be the third derivative of 0*w**3 + 1/120*w**6 + 6*w**2 + 0 + 0*w + 1/100*w**t - 1/60*w**4. Find s, given that z(s) = 0.
-1, 0, 2/5
Let y(r) be the first derivative of 5*r**4/12 + 5*r**3/6 - 21*r - 29. Let m(u) be the first derivative of y(u). Factor m(q).
5*q*(q + 1)
Determine z so that 5*z**2 - 13*z + 72*z + 0*z**2 - 108*z - 48*z + 38 = 0.
2/5, 19
Let u be (-8)/28 - (-840)/1911. Factor -8/13 + 2/13*f - u*f**3 + 8/13*f**2.
-2*(f - 4)*(f - 1)*(f + 1)/13
Let a(r) be the first derivative of 2*r**6/27 - 28*r**5/45 - 8*r**4/9 - 90. Solve a(n) = 0.
-1, 0, 8
Let f be 18/2*2/6. Suppose f*c - 2*s - 15 = -4*s, s - 25 = -4*c. Factor -c*j**2 - j**3 + 0*j**3 - 3*j**3 - 3*j**2 - 8*j - 2.
-2*(j + 1)**2*(2*j + 1)
Solve -21 + 17 - 7*g**3 - 2*g**4 + 4*g + 3*g**3 - 26 - 5*g**2 + 37*g**2 = 0.
-5, -1, 1, 3
Let c = -90 - -94. Let q be (-10)/c + -1 + 5. Factor 0 - 3/2*l**2 + q*l**3 + 0*l.
3*l**2*(l - 1)/2
Let s(j) be the third derivative of j**7/945 - j**6/54 + 7*j**5/90 + j**4/27 - 28*j**3/27 + 55*j**2 + 1. Factor s(y).
2*(y - 7)*(y - 2)**2*(y + 1)/9
Let z(u) be the first derivative of -u**6/3240 - u**5/540 - u**4/216 + 28*u**3/3 - 1. Let x(v) be the third derivative of z(v). Factor x(y).
-(y + 1)**2/9
Let g(w) = -2*w**3 - w - 1. Let d(q) = 10*q**3 - 18*q**2 + 27*q - 5. Let a(f) = -d(f) - 3*g(f). Factor a(v).
-2*(v - 2)**2*(2*v - 1)
Let v be ((-800)/395 - -2) + 0. Let s = 164/237 + v. Factor 1/3*f**2 + s + f.
(f + 1)*(f + 2)/3
Solve -3/4*f**2 + 0 + 75/4*f = 0 for f.
0, 25
Let w be -5*2/((-4)/22). Factor -w - 48*i - 17*i + 2*i**3 - 7*i**4 + 46*i**2 - i**5 + 80.
-(i - 1)**3*(i + 5)**2
Let a = 297826/165 - 1805. Let i(l) be the third derivative of -1/66*l**4 - 10*l**2 + 1/66*l**5 - a*l**6 + 0*l + 0*l**3 + 0 + 1/1155*l**7. Factor i(n).
2*n*(n - 2)*(n - 1)**2/11
Find i, given that -18*i**2 - 15*i - i**3 - 4*i**3 + 38*i**2 = 0.
0, 1, 3
Suppose 0 - 6*v**3 + 45/4*v**4 - 45/4*v**2 + 3*v**5 + 3*v = 0. What is v?
-4, -1, 0, 1/4, 1
Let o(y) be the second derivative of 0 + 1/48*y**4 - 10*y - 1/8*y**3 + 1/4*y**2. What is x in o(x) = 0?
1, 2
Let k(n) = n**5 + n**5 + 2*n - 4*n**3 - 2*n**4 + 8*n**2 - 6*n**4. Let v(w) = w**5 - w. Let p(x) = -k(x) + 4*v(x). Factor p(b).
2*b*(b - 1)*(b + 1)**2*(b + 3)
Solve -25*w**5 - 50*w - 141*w**4 + 75*w**3 - 39*w**4 + 255*w**2 - 10*w**2 - 65*w**4 = 0 for w.
-10, -1, 0, 1/5, 1
Determine l, given that -56/3*l + 18 + 2/3*l**2 = 0.
1, 27
Suppose -53*n**3 + 108*n**3 - 54*n**3 + 2*n**2 - 2 - n = 0. What is n?
-2, -1, 1
Let m(p) = 3*p**2 - 340*p + 1744. Let z be m(108). Let -2/5 - z*v**4 - 10*v**3 + 2*v + 2*v**2 - 32/5*v**5 = 0. Calculate v.
-1, 1/4
Suppose 12 = -2*n + 4*n - 4*i, -3*n + 2*i = -2. Let y(t) = t**3 - t**2 - 1. Let m(x) = -20*x**3 - 58*x**2 + 46*x - 6. Let k(o) = n*y(o) - m(o). Factor k(u).
2*(u + 4)*(3*u - 1)**2
Suppose -4*b = 2*i - b - 6, -5*i + 5*b - 10 = 0. Let q be ((-10)/6)/(13 + -14). What is h in -q*h**2 + i + 2/3*h = 0?
0, 2/5
Suppose -4*t + 420 = t. Let f be t/(-22) + (-20 - -24). Suppose 0*j + f - 2/11*j**2 = 0. What is j?
-1, 1
Factor -2*p**3 - 6*p**3 + 7*p**3 + p**4.
p**3*(p - 1)
Let f = 88 + -86. Find x such that 188*x**2 - 5*x**3 + 0*x**3 - 178*x**f = 0.
0, 2
Let c(a) be the first derivative of -7*a**5/10 + a**4/2 + 17*a**3/6 + 3*a**2/2 - 150. Find x such that c(x) = 0.
-1, -3/7, 0, 2
Factor 1/2*o**2 + 2 + 5/2*o.
(o + 1)*(o + 4)/2
Suppose 6*k = 2*k + 4. Suppose 3*p + k - 16 = 0. Factor 4*u - 4*u + u**p + 0*u**5.
u**5
Let -32/5 + 2/15*n**2 + 4/15*n = 0. What is n?
-8, 6
Suppose 21*z**2 - 8*z**3 + 52*z + 6*z**3 + z**2 + 28*z**2 = 0. What is z?
-1, 0, 26
Let v = 201 - 184. Suppose -v*o = -13*o + 5*y - 10, o + 6 = 3*y. Factor 1/4*s**5 - 1/4*s - 1/2*s**4 + o*s**3 + 0 + 1/2*s**2.
s*(s - 1)**3*(s + 1)/4
Let x(p) be the third derivative of -1/165*p**5 + 5*p**2 + 0 - 1/1980*p**6 - 1/33*p**4 - 1/3*p**3 + 0*p. Let q(w) be the first derivative of x(w). Factor q(u).
-2*(u + 2)**2/11
Let u(m) be the second derivative of 0*m**3 - 1/40*m**5 - 16*m + 1/48*m**4 + 0 + 1/120*m**6 + 0*m**2. Factor u(q).
q**2*(q - 1)**2/4
Let j(a) be the second derivative of a**6/20 - 33*a**5/80 - 39*a**4/8 + 99*a**3/2 + 81*a**2 - 22*a - 2. Solve j(v) = 0.
-6, -1/2, 6
Let t(o) be the second derivative of o**4/6 + 10*o**3 + 81*o**2 + 3*o - 1. Factor t(u).
2*(u + 3)*(u + 27)
Let s be (-235)/(-170) - (2756/(-884) - (-3 - 0)). Factor 0 + 1/2*b + 1/2*b**4 + 3/2*b**2 + s*b**3.
b*(b + 1)**3/2
Let g(t) = t**3 - 11*t**2 + 2*t - 8. Let l be g(11). Suppose l + 2 = 8*h. Find w, given that -2/13 - 4/13*w**h + 6/13*w = 0.
1/2, 1
Let s(r) be the third derivative of 1/15*r**6 + 3/10*r**5 + 0 + 0*r + 1/8*r**4 + 5*r**2 - 1/3*r**3. Factor s(z).
(z + 2)*(2*z + 1)*(4*z - 1)
Let w = 33 - 31. Find q such that -3*q**5 - 2*q**w - 4*q**3 + 0*q**3 + 4*q**4 + 6*q**5 + 3*q**3 = 0.
-1, 0, 2/3
Let h(p) be the second derivative of 1/18*p**3 - 20*p + 0 + 0*p**2 + 1/18*p**4. Factor h(s).
s*(2*s + 1)/3
Let a(i) = 3*i - 1. Let j be a(3). Suppose 3 = 11*z - j*z. Factor z + 5*y**2 + 2*y**3 - 2*y - 3*y**2 - 3 + 0*y**3.
2*(y - 1)*(y + 1)**2
Let a = 12 - 10. Let 2*h**2 + 7*h**a - 4*h**3 - 2*h**2 + h**2 = 0. Calculate h.
0, 2
Let c(a) be the first derivative of -a**4/2 + 6*a**3/7 - 2*a**2/7 - 228. Factor c(w).
-2*w*(w - 1)*(7*w - 2)/7
Let f(l) be the second derivative of 27*l**2 + 35*l + 1/18*l**4 + 0 - 2*l**3. Find m such that f(m) = 0.
9
Let w = 13 - 6. Let t be 11 - w - (-168)/(-45). Factor -2/15*o**5 + 0*o**3 - t*o**4 + 2/15*o + 4/15*o**2 + 0.
-2*o*(o - 1)*(o + 1)**3/15
Suppose -j = r + 1, -4 = -4*r + 6*j - 2*j. Let p(a) be the second derivative of r*a**3 + 1/18*a**4 + 3*a + 0 + 0*a**2. Factor p(d).
2*d**2/3
Let y(s) be the first derivative of 10 - 4*s - s**2 + 2/3*s**3. Suppose y(l) = 0. What is l?
-1, 2
Let p(c) = -7*c**3 + 11*c**2 + 3*c + 10. Let g be p(2). Factor -117/2*w**2 + 12*w**3 + 84*w - 147/4 - 3/4*w**g.
-3*(w - 7)**2*(w - 1)**2/4
Let k be (-264)/(-880) + (-2)/20. Let j(g) be the first derivative of -11 - k*g**4 - 4/3*g**3 - 16/5*g