 w**3/2 + 7*w. Let y(b) be the second derivative of i(b). Solve y(c) = 0 for c.
-1, 0, 1
Suppose 2*k = -0*k - 4*b + 8, -4*b = k - 4. Suppose -k = -t + 1. Solve u**2 + 2*u**4 + 2*u**4 - t*u**4 = 0 for u.
-1, 0, 1
Determine k, given that 2/3*k**3 - 1/3*k**2 - 1/3*k**4 + 0*k + 0 = 0.
0, 1
Suppose 0 = 73*x - 67*x. Find w such that 1 + x*w**2 + 3/2*w - 1/2*w**3 = 0.
-1, 2
Let m(k) be the third derivative of k**7/42 + k**6/12 - k**5/3 - 5*k**4/12 + 5*k**3/2 + k**2 + 15. Factor m(j).
5*(j - 1)**2*(j + 1)*(j + 3)
Let i(k) = 9*k + 1 - 18*k - 8 + k**3 - 9*k**2. Let q be i(10). Factor -3*c**2 + 14*c + q - 14*c.
-3*(c - 1)*(c + 1)
Find y such that -2*y + 1/6*y**2 + 6 = 0.
6
Suppose 2*m + 29 = 33. Factor -1/3*s**m - 1/3*s**3 + 1/3*s + 1/3.
-(s - 1)*(s + 1)**2/3
Let r(b) be the third derivative of b**7/840 - b**5/120 - b**3/2 - 3*b**2. Let m(q) be the first derivative of r(q). Factor m(f).
f*(f - 1)*(f + 1)
Let x(j) be the second derivative of 0 + 0*j**2 + j - 1/30*j**4 - 1/50*j**5 + 0*j**3. Factor x(g).
-2*g**2*(g + 1)/5
Factor 3/7*d**2 + 4 + 24/7*d - 1/7*d**3.
-(d - 7)*(d + 2)**2/7
Let z = 12 - 4. Let h(v) be the third derivative of -3*v**2 + 0*v - 1/60*v**6 + 0*v**3 + 1/30*v**5 + 1/168*v**z + 0*v**4 + 0 - 1/105*v**7. Factor h(f).
2*f**2*(f - 1)**2*(f + 1)
Let r(h) be the first derivative of 3*h**5 - 1 + 3*h + 15/2*h**2 + 15/2*h**4 + 1/2*h**6 + 10*h**3. Factor r(j).
3*(j + 1)**5
Let f(o) be the third derivative of -1/21*o**4 + 0 + 0*o**3 - 2/735*o**7 + 1/140*o**6 + 2/105*o**5 - 1/1176*o**8 - 7*o**2 + 0*o. Let f(r) = 0. What is r?
-2, 0, 1
Suppose 1 = 5*t - 4. Let p = 1 + t. Factor 3*k - k**p - 2*k - 2*k.
-k*(k + 1)
Let a(q) be the second derivative of 1/12*q**4 + q**2 + 0 + 1/60*q**5 + 1/6*q**3 - q. Let i(d) be the first derivative of a(d). Factor i(h).
(h + 1)**2
Let t(o) be the second derivative of -o**6/420 + o**5/210 + o**4/42 - 2*o**2 + 5*o. Let v(l) be the first derivative of t(l). Find r, given that v(r) = 0.
-1, 0, 2
Let b = 143/6 - 47/2. Find x, given that 0 + b*x**2 - 1/3*x**4 + 0*x + 0*x**3 = 0.
-1, 0, 1
Let m(l) = -l + 6. Let a be m(6). Factor 0*n**2 + 0 + 4/3*n**5 + 1/3*n**3 + 5/3*n**4 + a*n.
n**3*(n + 1)*(4*n + 1)/3
Let l be 7/(2 - (3 - 2)). Factor 7*a**3 - l*a**3 + 6*a**3 + 3 - 6*a**2 - 3*a - 3*a**5 + 3*a**4.
-3*(a - 1)**3*(a + 1)**2
Suppose 0 = 5*o - 5*p - 25, -4*p = 32 - 12. Let z(c) be the first derivative of -2 + 0*c**3 + o*c**2 - 1/8*c**4 + 0*c. Determine l so that z(l) = 0.
0
Let z(i) be the third derivative of 1/30*i**4 + 0*i**3 - 1/150*i**5 - 5*i**2 + 0*i + 0. Find h such that z(h) = 0.
0, 2
Let m(t) = -t**2 + 14*t - 8. Let i be m(13). Suppose -i = -p - 3. Determine g so that 3*g**p + 12 - 7*g - 2*g + 0*g - 3*g = 0.
2
Factor -14*k - 19*k - k**3 + 30*k + 4*k**2.
-k*(k - 3)*(k - 1)
Suppose 0 = -3*n - 3 - 3. Let v be -1 - -1 - 1*n. Find m such that -10*m**2 - 4*m**4 + 3*m**4 + 5*m + 7*m**v - 4*m + 3*m**3 = 0.
0, 1
Let j(q) be the first derivative of -2*q**5/45 - q**4/9 + 7. Factor j(w).
-2*w**3*(w + 2)/9
Let l(z) = z**3 - 9*z**2 + 3*z - 5. Let t be l(9). What is y in y**4 + 4*y**3 + 4*y**2 - t + 22 + 0*y**3 = 0?
-2, 0
Factor h**3 + 5*h**3 - 3*h**3.
3*h**3
Let c(f) = -f + 19. Let v be c(7). Let q be (1 - 1)/(v/(-12)). Solve 0*t**3 + 2/7*t**4 + q*t + 2/7 - 4/7*t**2 = 0 for t.
-1, 1
Let z(a) = -a**2 - 8*a + 2. Let j be z(-8). Factor -2*n**4 - 8 - 12*n**j + 24 + 8*n - 12*n**3 + 2*n**3.
-2*(n - 1)*(n + 2)**3
Let k(p) be the first derivative of p**4/36 + p**3/18 - 2*p - 3. Let x(j) be the first derivative of k(j). Factor x(y).
y*(y + 1)/3
Let q = -348 + 348. Suppose q + h - 5/2*h**2 = 0. Calculate h.
0, 2/5
Suppose -7*i + 9*i + 10 = 0. Let m = -3 - i. Factor -3/5*f**4 - 6/5*f**m + 0 + 9/5*f**3 + 0*f.
-3*f**2*(f - 2)*(f - 1)/5
Factor -11*g + 0*g + g**3 - 2*g + 6 + 6*g.
(g - 2)*(g - 1)*(g + 3)
Find l such that -10/11*l**2 + 16/11*l - 8/11 + 2/11*l**3 = 0.
1, 2
Let m = 206 - 206. Determine h so that -1/2*h**5 + 0 + 0*h + m*h**2 - 1/2*h**4 + h**3 = 0.
-2, 0, 1
Suppose -7 + 13 - 21*b**3 - 6 - 6*b**2 = 0. What is b?
-2/7, 0
Suppose 0 = 4*f + f - 10. Let c be 4 + (36/28 - 5). Factor 0 - c*k**5 + 0*k**3 - 4/7*k**4 + 4/7*k**f + 2/7*k.
-2*k*(k - 1)*(k + 1)**3/7
Suppose 2*b**3 - 4*b**2 + 0*b**3 - 5*b**3 - 2*b**2 - 3*b = 0. What is b?
-1, 0
Let v(p) be the second derivative of -p**9/7560 + p**7/1260 + p**4/3 + 2*p. Let y(r) be the third derivative of v(r). Factor y(q).
-2*q**2*(q - 1)*(q + 1)
What is z in -399 + 14*z + 4*z**2 + 170*z + 2515 = 0?
-23
Let n = -20/7 - -74/21. Let l = 344 - 1028/3. Factor -l*x - n - 2/3*x**2.
-2*(x + 1)**2/3
Let i(r) be the first derivative of -r**4/10 + r**2/5 + 33. Factor i(j).
-2*j*(j - 1)*(j + 1)/5
Let o = 30 + -88/3. Let -4/3*t + o + 2/3*t**2 = 0. Calculate t.
1
Let j be 0/(3 - 2)*4/(-16). Let k(n) be the first derivative of 1/20*n**5 + 0*n**4 + j*n**2 - 1/6*n**3 + 1/4*n + 3. Factor k(m).
(m - 1)**2*(m + 1)**2/4
Let a(w) be the first derivative of -1/2*w**2 + 0*w + 2 - 1/3*w**3. Factor a(j).
-j*(j + 1)
Let x = 77/4 - 96/5. Let u(f) be the third derivative of 0*f + 1/6*f**3 - 1/120*f**6 + 0 + 2*f**2 - 1/8*f**4 + x*f**5. Factor u(a).
-(a - 1)**3
Let s(q) be the first derivative of q**7/3360 - q**6/1440 + 2*q**3/3 + 2. Let f(g) be the third derivative of s(g). Factor f(b).
b**2*(b - 1)/4
Let x(a) be the first derivative of a**5/120 - a**4/12 + a**3/3 + 3*a**2 + 6. Let i(u) be the second derivative of x(u). Suppose i(n) = 0. What is n?
2
Let a(d) = d**3 + d - 1. Let i(m) = -6*m**3 - m**2 - 5*m + 5. Let b be (1/2)/((-5)/(-10)). Let k(p) = b*i(p) + 5*a(p). Solve k(t) = 0 for t.
-1, 0
Let s(d) be the third derivative of d**5/120 + 5*d**4/48 + d**3/3 - 9*d**2. Factor s(z).
(z + 1)*(z + 4)/2
Factor 3*d**3 + 5*d**2 - 3*d**4 - 2*d**2 + d + 2*d - 6*d**3.
-3*d*(d - 1)*(d + 1)**2
Let n(h) = -84*h**2 + 84*h - 32. Let c(m) = -3 - 8 - 13*m**2 + 6 + 13*m. Let y(l) = 32*c(l) - 5*n(l). Determine v so that y(v) = 0.
0, 1
Suppose -20/7*p**2 + 8/7 + 8/7*p**3 + 4/7*p = 0. What is p?
-1/2, 1, 2
Let l be (5/(-2))/(1/(-2)). Suppose -4*i - 2*r + 14 = 0, -i + 17 + 0 = 5*r. Factor 0*f + 2 - 12*f**2 + i*f - l*f - 7*f**3.
-(f + 1)**2*(7*f - 2)
Suppose 3*i = -2*a + 8, a + 2*i - 17 = -2*a. Factor t + t + a*t**2 - 4*t.
t*(7*t - 2)
Let 30*d**4 + 4*d**3 - 18*d**4 + 4*d**2 + d - 2 - 3*d - 2*d**5 - 14*d**4 = 0. Calculate d.
-1, 1
Let w(a) = 2*a**3 + 23*a**2 + 29*a - 11. Let y(o) = o**3 + 12*o**2 + 15*o - 6. Let x(u) = -6*w(u) + 11*y(u). Solve x(k) = 0 for k.
-3, 0
Let h(j) be the third derivative of -j**5/30 - 2*j**4/3 - 19*j**2. Let h(z) = 0. What is z?
-8, 0
Suppose -5/2 + 1/2*q**2 - 2*q = 0. Calculate q.
-1, 5
Let m be (12/(-210))/((-8)/(-5)). Let l = m + 33/140. Find n, given that 2/5*n + l + 1/5*n**2 = 0.
-1
Let t(a) = 24*a**4 + 3*a**3 - 33*a**2 - 21*a. Let j(p) = -6*p**4 - p**3 + 8*p**2 + 5*p. Let i(l) = 9*j(l) + 2*t(l). Find v such that i(v) = 0.
-1, -1/2, 0, 1
Solve 1/5*u**4 + 8/5*u - 3/5 - 6/5*u**2 + 0*u**3 = 0 for u.
-3, 1
Let v(b) be the first derivative of b**4/8 - b**3/3 + b**2/4 - 11. Suppose v(r) = 0. Calculate r.
0, 1
Let a(m) be the third derivative of m**5/240 + 7*m**4/48 + 49*m**3/24 - 14*m**2. Factor a(q).
(q + 7)**2/4
Let k(n) be the third derivative of -n**5/270 - n**4/108 - 15*n**2. Determine a so that k(a) = 0.
-1, 0
Let h(l) be the first derivative of -l**4/4 + l**3 - l**2 + 2. Factor h(o).
-o*(o - 2)*(o - 1)
Suppose 4*o + 3*p - 2*p - 238 = 0, 0 = -o + 5*p + 70. Let w = -297/5 + o. Suppose -6/5*j + 1/5 - 48/5*j**4 + 56/5*j**3 - w*j**2 = 0. Calculate j.
-1/3, 1/4, 1
Let g(j) = 7*j**4 - 5*j**3 - 9*j**2 + 2. Let n(r) = 0*r**3 - 2*r**3 + r**2 + 1 - 5*r**2 + 3*r**4. Let s(h) = 2*g(h) - 5*n(h). Factor s(f).
-(f - 1)**2*(f + 1)**2
Let t(q) be the third derivative of -q**8/6720 + q**7/1260 - 5*q**4/24 - 3*q**2. Let w(a) be the second derivative of t(a). Factor w(k).
-k**2*(k - 2)
Suppose 1/3*x**2 + 4/9 + 8/9*x = 0. What is x?
-2, -2/3
Let q(i) = 36*i**3 - 15*i**2 - 9*i - 12. Let m(s) = -s**3 - s**2 + 1. Let f(a) = -18*m(a) - q(a). Find x such that f(x) = 0.
-1/2, 1/3, 2
Suppose -21*p**3 - 20*p**3 + 10*p**4 + 12*p**2 + 7*p**3 = 0. What is p?
0, 2/5, 3
Let p(d) = -4*d**5 + 0 - d**4 + d**3 + 1 + 4*d**5 - d**5. Let z(s) = 8*s**5 + 10*s**4 - 9*s**3 - 9. Let x(m) = 18*p(m) + 2*z(m). Factor x(o).
-2*o**4*(o - 1)
Let k(b) be the third derivati