**3/3 + 4*s**2. Suppose j(w) = 0. Calculate w.
-1
Suppose 0 = 2*k - 34 + 34. Factor -6/5*l**3 + 0 + k*l - 2/5*l**4 - 4/5*l**2.
-2*l**2*(l + 1)*(l + 2)/5
Let r(t) be the second derivative of -3*t**5/20 + t**4/12 + 2*t. Let x be r(-1). Factor x - 3 + 2*b**2 + 2*b - 5*b.
(b - 1)*(2*b - 1)
Factor t - 7*t**4 + 27*t**4 + 5*t - t + 40*t**3 + 25*t**2.
5*t*(t + 1)*(2*t + 1)**2
Let f(j) be the third derivative of -j**7/1470 + j**5/420 - 23*j**2 - 1. Factor f(u).
-u**2*(u - 1)*(u + 1)/7
Let u = 71/2 - 629/18. Let i(r) be the first derivative of -1/15*r**5 - 1/3*r**4 - u*r**3 + 1 + 0*r - 1/3*r**2. Factor i(v).
-v*(v + 1)**2*(v + 2)/3
Suppose -2*w = -4*w + 6. Let p(a) be the first derivative of 1/4*a**4 + 0*a**2 + 0*a + 0*a**w - 1/5*a**5 + 2. Solve p(t) = 0.
0, 1
Let d(n) be the third derivative of n**6/60 - n**5/6 + 7*n**4/12 - n**3 - 10*n**2 + n. Factor d(y).
2*(y - 3)*(y - 1)**2
Let y be 8/(7/3*6). Factor -6/7*a**3 - y*a - 10/7*a**2 + 0.
-2*a*(a + 1)*(3*a + 2)/7
Solve 0*a - 1/7 + 1/7*a**2 = 0.
-1, 1
Let m(f) be the second derivative of -f**5/180 + f**3/18 - f**2/2 + f. Let c(o) be the first derivative of m(o). Factor c(y).
-(y - 1)*(y + 1)/3
Let o(l) = l**2 + 7*l + 4. Let w be o(-7). Solve -g**2 - 3*g + 0*g + 2*g**2 - w*g**2 = 0 for g.
-1, 0
Suppose 2*c = -0*c - 2. Let k be c*4*(-3)/30. Factor 2/5*j**2 - k*j + 0.
2*j*(j - 1)/5
Let m(b) be the third derivative of b**8/4200 + b**7/1050 - b**5/150 - b**4/60 + b**3/3 + 2*b**2. Let z(l) be the first derivative of m(l). Factor z(k).
2*(k - 1)*(k + 1)**3/5
Let u(o) = -o + 0*o - 3 + 10. Let k be u(7). Factor 1/2*p**2 - 1/2*p**4 - 1/2*p**5 + 1/2*p**3 + 0*p + k.
-p**2*(p - 1)*(p + 1)**2/2
Let a be 9*-3*(-3)/9. Suppose 0 = z + 1 - a. Find y such that 8 + y - z - 2*y**2 = 0.
0, 1/2
Let j(a) be the second derivative of 1225*a**4/12 + 70*a**3/3 + 2*a**2 + 23*a. Solve j(h) = 0 for h.
-2/35
Let z be (-25)/(-10)*1*2. Let h(q) be the third derivative of 0*q**3 + 0*q + 0 + 0*q**4 - 1/420*q**6 - 1/210*q**z + 2*q**2. Factor h(c).
-2*c**2*(c + 1)/7
Let l be 3/6*(7 + 1). Let d(k) = 2*k - 6. Let i be d(l). Let -2*g**3 + g**4 + g - 6*g**i + 5*g**4 + g = 0. Calculate g.
-1, 0, 1/3, 1
Let f(i) = i**5 + i**4 + i**3 - i**2 - i. Let v(n) = -4*n**5 + n**4 - 8*n**3 + 5*n**2 + 3*n. Let y(o) = 3*f(o) + v(o). Factor y(p).
-p**2*(p - 2)*(p - 1)**2
Let a(w) = -w - 1. Let c(b) = 3*b**2 - 14*b + 1. Let u(t) = -5*a(t) + c(t). Solve u(n) = 0 for n.
1, 2
Suppose d = -d + 10. Suppose 6 = 2*a + 2*t, -2*a + 4*a = -d*t + 3. Find u, given that -2/5*u**a + 0*u + 2/5*u**2 - 2/5*u**5 + 2/5*u**3 + 0 = 0.
-1, 0, 1
Let k(s) = s**3 - 11*s**2 + 14*s - 14. Let p be k(10). Factor 14*d**2 - p*d**2 - 3*d - 3 + 15*d**3 + 3.
3*d*(d - 1)*(5*d + 1)
Let l(h) = 5*h**4 + 4*h**3 + 5*h**2 + 3*h. Let c(a) = -9*a**4 - 8*a**3 - 9*a**2 - 5*a. Let k(w) = -3*c(w) - 5*l(w). What is f in k(f) = 0?
-1, 0
Let v(x) be the second derivative of 3*x**7/49 - 19*x**6/35 + 127*x**5/70 - 131*x**4/42 + 64*x**3/21 - 12*x**2/7 + 21*x. Suppose v(h) = 0. What is h?
2/3, 1, 3
Factor 0 + 4/3*r**2 + 2/9*r.
2*r*(6*r + 1)/9
Let o be ((-45)/(-75))/(-1 - -4). Factor -o*z**2 + 0 + 0*z + 2/5*z**3 - 1/5*z**4.
-z**2*(z - 1)**2/5
Let w(i) = 8*i**2 + 2*i + 7. Let f(r) = r**2 + 1. Let l(n) = -18*f(n) + 2*w(n). Let p(c) = 4*c**2 - 8*c + 9. Let s(y) = 5*l(y) + 2*p(y). Factor s(o).
-2*(o - 1)**2
Suppose 32*l**2 - 22*l + 20*l**3 + 2*l**4 + 2*l**4 + 38*l = 0. What is l?
-2, -1, 0
Determine z so that 0 - 8/7*z**4 + 8/7*z**2 - 4/7*z**5 + 4/7*z + 0*z**3 = 0.
-1, 0, 1
Solve 1/2*x - 3/2*x**2 + 0 = 0 for x.
0, 1/3
Suppose 0 = -4*p - 3*t + 2 + 26, 3*p - 3*t = 0. Suppose m - 3*j = 7 + 10, -m = -2*j - 13. Find w such that 37/4*w**2 + 15/2*w**3 + m*w + 1 + 9/4*w**p = 0.
-1, -2/3
Let d(i) be the first derivative of -2*i**5/55 + 2*i**4/11 - 4*i**3/11 + 4*i**2/11 - 2*i/11 + 13. Find r such that d(r) = 0.
1
Determine h so that -507/5 - 3/5*h**2 + 78/5*h = 0.
13
Let q(y) be the second derivative of -1/40*y**5 + y + 1/4*y**3 + 0 + 0*y**4 - 1/2*y**2. Solve q(r) = 0.
-2, 1
Let d(m) be the third derivative of -m**8/1848 + 4*m**7/1155 - m**6/110 + 2*m**5/165 - m**4/132 + 3*m**2. Solve d(z) = 0.
0, 1
Let m = -4999/20 - -250. Let i(l) be the second derivative of -l + m*l**5 - 1/6*l**3 - 1/4*l**4 + l**2 + 1/30*l**6 + 0. Factor i(r).
(r - 1)**2*(r + 1)*(r + 2)
Let p(c) = -c**2 + 7*c + 8. Let z be p(8). Suppose -1/4*j**4 - 1/4*j + z - 3/4*j**3 - 3/4*j**2 = 0. What is j?
-1, 0
Let o be -5 + -1 - (-2 + 3). Let t be o*(-3 - (-68)/28). Determine m so that 0 + 0*m - 3/2*m**t - 1/2*m**2 - 2*m**3 = 0.
-1, -1/3, 0
Let z(i) be the second derivative of i**6/50 + 3*i**5/50 - 3*i**4/20 - 4*i**3/5 - 6*i**2/5 - 5*i. Solve z(v) = 0.
-2, -1, 2
Let m(k) be the second derivative of 0 - 1/12*k**4 + 1/6*k**3 + 1/2*k**2 - 2*k - 1/20*k**5. Solve m(z) = 0 for z.
-1, 1
Let w(c) be the third derivative of -c**6/540 + c**4/108 + 3*c**2. Suppose w(j) = 0. Calculate j.
-1, 0, 1
Let a(c) = -c**2 - 4*c + 1. Let m be a(-3). Suppose -3*z - m*b + 5 = 0, 3*b + 4 = z + 2*b. Factor 0*d**2 + 1/3*d - 1/3*d**z + 0.
-d*(d - 1)*(d + 1)/3
Suppose l = -4*l - 3*k + 7, -6 = -2*l + 2*k. Let p be 2/(-12)*(-6 + l). Determine g, given that 0*g + p - 2/3*g**2 = 0.
-1, 1
Suppose -13*w + 2 + 50 = 0. Let y be 1/8*6 - 0. Factor -3/4*v + 3/2*v**3 + 0*v**2 + 0 + 0*v**w - y*v**5.
-3*v*(v - 1)**2*(v + 1)**2/4
Let f(m) = m**2 + 15*m + 17. Let t be f(-14). Suppose 0 + t = l. Factor 2/3*d**l + 0 + 0*d**2 - 1/3*d + 0*d**4 - 1/3*d**5.
-d*(d - 1)**2*(d + 1)**2/3
Let d(k) be the third derivative of -k**8/1512 - k**7/315 - k**6/270 + k**5/135 + k**4/36 + k**3/27 + 3*k**2. Factor d(m).
-2*(m - 1)*(m + 1)**4/9
Let c(k) = -2*k**3 + 3*k**2 + 7*k + 7. Let h(q) = -q**3 + q**2 + 3*q + 3. Let i(w) = 6*c(w) - 14*h(w). Factor i(n).
2*n**2*(n + 2)
Factor -2/7*z - 2/7*z**3 - 4/7*z**2 + 0.
-2*z*(z + 1)**2/7
Let h(p) be the first derivative of 288*p**5 - 240*p**4 + 130*p**3/3 - 5*p**2/2 + 43. Let h(u) = 0. Calculate u.
0, 1/12, 1/2
Let k(t) be the first derivative of 2/15*t**3 + 0*t - 2 + 1/5*t**2. Determine d so that k(d) = 0.
-1, 0
Suppose -28*v + 28*v - 10*v**2 + 5*v**3 + 0*v**2 = 0. What is v?
0, 2
Let s(r) = 4*r**2 + 4*r + 6. Let i(x) = 6 + 11*x**2 - 2*x**2 + 9*x + 7. Let a(k) = -6*i(k) + 13*s(k). Let a(g) = 0. What is g?
-1, 0
Let c = 6 + -5. Let z be (c/3*0)/(-1). Factor 0*r + 4/7*r**2 + z + 6/7*r**4 - 10/7*r**3.
2*r**2*(r - 1)*(3*r - 2)/7
Let o(j) = j**3 - 4*j**2 - 5*j - 3. Let w(q) = q**3 - 5*q**2 - 5*q - 3. Let l(m) = 4*o(m) - 3*w(m). Suppose l(u) = 0. Calculate u.
-1, 3
Let l(r) be the second derivative of r**4/27 - 10*r**3/27 - 10*r. Factor l(i).
4*i*(i - 5)/9
Let v(t) be the first derivative of 3 + 0*t**3 - t**2 - t + 1/5*t**5 + 1/2*t**4. What is f in v(f) = 0?
-1, 1
Let h be (0 - -2) + 816/(-410). Let o = h + 392/1845. Factor -o*y**3 + 0 + 0*y**2 + 0*y + 2/9*y**4.
2*y**3*(y - 1)/9
Suppose -4*x + 2*x - h - 19 = 0, -2*h = -x - 12. Let g be ((-36)/(-135))/((-4)/x). Factor -2/3*i**2 + 2/3*i**4 + 0 - g*i + 2/3*i**3.
2*i*(i - 1)*(i + 1)**2/3
Let u(s) = 345*s**4 + 115*s**3 - 60*s**2 + 5*s. Let y(h) = -517*h**4 - 173*h**3 + 90*h**2 - 8*h. Let t(v) = -8*u(v) - 5*y(v). Factor t(n).
-5*n**2*(5*n + 3)*(7*n - 2)
Let s = 16 + 20. Let q be (-24)/s - 4/(-3). Solve -1/3*x - 2/3 + 1/3*x**3 + q*x**2 = 0.
-2, -1, 1
Let i be 100/26 + (-4)/(-26). Suppose 2 = -f + i. Factor 2/5*h**f - 6/5*h + 4/5.
2*(h - 2)*(h - 1)/5
Let d be (17 - 20)/((-3)/5). Let o(h) be the first derivative of 0*h - 3/8*h**4 - 3/20*h**d + 0*h**2 - 2 - 1/4*h**3. Factor o(k).
-3*k**2*(k + 1)**2/4
Suppose -4*x - 3*f + 123 = -7*x, -f + 185 = -5*x. Let o = x - -73/2. What is a in 1/2*a**2 - 1 + o*a = 0?
-2, 1
Let l(j) be the second derivative of j**8/23520 + j**7/8820 + j**4/12 - 4*j. Let u(p) be the third derivative of l(p). Solve u(f) = 0 for f.
-1, 0
Let c be (-2 - -3)/((-1)/(-4)). Let z be (1/2)/(2/c). Factor 19 + z + 69*w**2 - 56*w - 9*w**2 - 4 - 18*w**3.
-2*(w - 2)*(3*w - 2)**2
Let t(j) = -11*j**4 + 6*j**3 - 13*j**2 - 9*j - 9. Let g(p) = -5*p**4 + 3*p**3 - 6*p**2 - 4*p - 4. Let l(r) = 9*g(r) - 4*t(r). Factor l(x).
-x**2*(x - 2)*(x - 1)
Let y be 34/(-17) - (2 - (-14)/(-3)). Factor y*s**2 - 16/3*s + 32/3.
2*(s - 4)**2/3
Let v(n) = 54*n**3 + 114*n**2 + 72*n + 16. Let j(g) = g**2. Let f(u) = 6*j(u) - v(u). Factor f(i).
-2*(3*i + 2)**3
Let q(p) = p**3