ve of 0*g + 0*g**3 - 1/60*g**4 + 1/75*g**5 + 0*g**6 + 2*g**2 + 1/840*g**8 + 0 - 2/525*g**7. Factor c(i).
2*i*(i - 1)**3*(i + 1)/5
Let o(d) be the second derivative of 0*d**2 + 1/27*d**4 + 0 + 1/18*d**5 + 4*d + 0*d**3. Factor o(h).
2*h**2*(5*h + 2)/9
Let p = 7 - 5. Let b be (-234)/(-135) - (-4)/(-10). What is w in 0 - b*w**p + 2/3*w = 0?
0, 1/2
Let m = 20 - 24. Let i(x) = x**4 + 6*x**3 + x**2 - 4. Let w(l) = l**4 + l**2 - 1. Let g(h) = m*w(h) + i(h). Let g(c) = 0. Calculate c.
0, 1
Let t(g) be the second derivative of 0*g**5 - 2/45*g**6 + 0 - 1/63*g**7 + 1/9*g**4 - 4*g + 0*g**2 + 1/9*g**3. Solve t(x) = 0.
-1, 0, 1
Let b(d) be the third derivative of 1/420*d**7 - 1/120*d**5 + 0*d**3 + 0*d**4 + 0 + 0*d + 1/240*d**6 + 4*d**2 - 1/672*d**8. Suppose b(v) = 0. What is v?
-1, 0, 1
What is a in 4/7*a - 1/7*a**3 - 8/7 + 2/7*a**2 = 0?
-2, 2
Let t(d) be the first derivative of 0*d**2 + 3/5*d**5 + 0*d**3 + 0*d + 2 + 3/4*d**4. Factor t(l).
3*l**3*(l + 1)
Let z = 13 + -11. Factor -1/3*x**z - 4/3*x - 4/3.
-(x + 2)**2/3
Let i(u) be the first derivative of u**6/2 - 6*u**5/5 + 2*u**3 - 3*u**2/2 + 6. Factor i(h).
3*h*(h - 1)**3*(h + 1)
Let v be (5 + -4 - 1)/2. Let f(c) be the third derivative of 0*c - 1/660*c**6 - 3*c**2 + 0*c**4 + v*c**3 - 1/165*c**5 + 0. Factor f(u).
-2*u**2*(u + 2)/11
Let a(j) be the first derivative of 3*j**6/4 + 12*j**5/5 + 11*j**4/4 + 4*j**3/3 + j**2/4 - 17. Determine c, given that a(c) = 0.
-1, -1/3, 0
Let v(u) be the first derivative of -u**4/16 - 7*u**3/12 - 2*u**2 - 3*u + 40. Find a, given that v(a) = 0.
-3, -2
Let h(l) be the third derivative of l**6/360 - l**5/36 + l**4/9 - 2*l**3/9 + 4*l**2. Factor h(y).
(y - 2)**2*(y - 1)/3
Suppose 5*a + 12 - 27 = 0. Let -1/3*d + 2/3*d**a - 1/3*d**2 + 0 = 0. Calculate d.
-1/2, 0, 1
Let p = 30 + -28. Suppose 1/2*d**3 + 0 + 0*d - 1/2*d**4 + 1/2*d**p - 1/2*d**5 = 0. Calculate d.
-1, 0, 1
Let k be (4/10)/(-1)*-5. Factor 0 + 1/4*d**4 + 0*d**k + 0*d - 1/2*d**5 + 1/4*d**3.
-d**3*(d - 1)*(2*d + 1)/4
Let c = 10 + -10. Let g(r) be the first derivative of 2/3*r**2 + 4/9*r**3 + c*r + 1/12*r**4 + 1. Suppose g(n) = 0. Calculate n.
-2, 0
Let z be (4/6)/((-2)/6). Let j be (3 + z)*4/2. Find n, given that -j + 2*n**2 - 2*n + 2*n = 0.
-1, 1
Let l(u) = -4*u + 2. Let b(f) = -5*f + 2. Let m(a) = 3*b(a) - 4*l(a). Let q be m(2). Let 2/9*y**2 + 2/9*y + q = 0. Calculate y.
-1, 0
Find d, given that -4/9*d + 2/9*d**2 + 2/9 = 0.
1
Solve -3*d**3 + 18 + 21*d - 17 - 19 = 0.
-3, 1, 2
Let t(q) be the first derivative of 2*q**5/5 - 2*q**3 + 2*q**2 - 17. Factor t(f).
2*f*(f - 1)**2*(f + 2)
Suppose 4*m = -8 - 8. Let l(d) = -5*d**2 + 4*d + 10*d**2 - 2*d. Let b(t) = 14*t**2 + 6*t. Let u(j) = m*b(j) + 11*l(j). Factor u(o).
-o*(o + 2)
Let p = 352/7 - 1049/21. Factor -1/3*x**4 + 0*x + 0 - p*x**2 + 2/3*x**3.
-x**2*(x - 1)**2/3
Let j(i) = -5*i**2 + 4*i + 1. Let h(t) = -t**2 + 1. Let c(p) = -3*h(p) + j(p). Factor c(y).
-2*(y - 1)**2
Suppose 4*b - 5*b = 0. Suppose 3*f - 3*q - 5 = -2, 3*f + 5*q - 19 = b. Factor 2/3*n**4 - 2/3*n**f + 0*n + 0 + 2/3*n**5 - 2/3*n**2.
2*n**2*(n - 1)*(n + 1)**2/3
Let q(z) be the third derivative of -5*z**2 - 1/4*z**4 + 0*z**3 - 3/40*z**6 + 1/4*z**5 + 0*z + 0. Determine b, given that q(b) = 0.
0, 2/3, 1
Let g(f) be the first derivative of 2*f**3 - 19*f**2/2 + 3*f - 61. Factor g(y).
(y - 3)*(6*y - 1)
Let r(z) be the second derivative of 3*z**5/40 - 3*z**3/4 - 3*z**2/2 + 6*z. Find o such that r(o) = 0.
-1, 2
Let l = 104 - 726/7. Factor -l*s + 0 - 2/7*s**2.
-2*s*(s + 1)/7
Let h(y) = 9*y**3 - 4*y**2 + 4*y + 17. Let p(k) = 4*k**3 - 2*k**2 + 2*k + 8. Let g be (-1 + 0)/((-7)/(-42)). Let o(l) = g*h(l) + 13*p(l). Factor o(s).
-2*(s - 1)*(s + 1)**2
Let q(y) be the second derivative of -y**7/28 - 3*y**6/20 - 3*y**5/20 + y**4/4 + 3*y**3/4 + 3*y**2/4 - 2*y. Factor q(c).
-3*(c - 1)*(c + 1)**4/2
Let b be (-8)/(-6) - 2/(-3). Factor 0*j**4 - 2/5*j**3 + 2/5*j**5 + 0*j**b + 0*j + 0.
2*j**3*(j - 1)*(j + 1)/5
Let z(x) be the first derivative of x**3 + 0*x + 0*x**2 - 1/4*x**4 - 4. Suppose z(y) = 0. What is y?
0, 3
Let a(n) = -n**2 - n. Let h(o) = -o**4 - 3*o**3 - 2*o**2. Let f(u) = 2*a(u) + 2*h(u). Determine v, given that f(v) = 0.
-1, 0
Let t be -1 + (-2)/(4/(-6)). Suppose t*d = d. Factor -a - 3*a - 4 - a**2 + d*a.
-(a + 2)**2
Let q be (10/(-4))/((-15)/20). Let l(c) be the first derivative of 80/9*c**3 - 2 + 1/18*c**6 + q*c**4 + 32/3*c + 2/3*c**5 + 40/3*c**2. Factor l(o).
(o + 2)**5/3
Let k(n) be the second derivative of -1/2*n**2 + 0 + 2*n + 1/8*n**4 + 1/20*n**5 - 1/4*n**3. Factor k(h).
(h - 1)*(h + 2)*(2*h + 1)/2
Let z be 2 + -1 + 2 + 2. Let i(r) = -3*r**4 - 4*r**3 - 3*r**2 + 2*r. Let m(h) = 7*h**4 + 9*h**3 + 7*h**2 - 5*h. Let w(p) = z*i(p) + 2*m(p). Factor w(s).
-s**2*(s + 1)**2
Let p(w) be the second derivative of -w**8/560 + 11*w**7/840 - w**6/30 + w**5/30 + w**3/3 + w. Let n(r) be the second derivative of p(r). Factor n(d).
-d*(d - 2)*(d - 1)*(3*d - 2)
Let j(s) be the first derivative of 2*s**3/15 + 2*s**2/5 - 24. Factor j(m).
2*m*(m + 2)/5
Factor 1/3*f**2 - 4/9 + 1/9*f**3 + 0*f.
(f - 1)*(f + 2)**2/9
Factor -5 - 2*f - 1/5*f**2.
-(f + 5)**2/5
Factor n**2 + 1/5*n + 3/5*n**3 - 1/5.
(n + 1)**2*(3*n - 1)/5
Let q(m) be the first derivative of -m**2 + 0*m + 1 - 1/3*m**3. Factor q(g).
-g*(g + 2)
Let d be (162/(-108))/(2/((-16)/6)). Solve -1/3*i**d + 1/3*i + 2/3 = 0 for i.
-1, 2
Let q(x) be the first derivative of -x**6/30 - 2*x**5/25 + 2*x**3/15 + x**2/10 - 20. Factor q(i).
-i*(i - 1)*(i + 1)**3/5
Let o(n) be the first derivative of -n**3 + 2 + 6*n - 3/2*n**2. Let o(v) = 0. Calculate v.
-2, 1
Suppose 3*y - 7 = 2. Factor -131*h**y + h**2 - h**4 + 131*h**3.
-h**2*(h - 1)*(h + 1)
Factor 1/5*g**3 - 4/5 - 4/5*g + 1/5*g**2.
(g - 2)*(g + 1)*(g + 2)/5
Let u(v) be the third derivative of -1/420*v**6 - 4*v**2 + 0*v**3 + 0*v**4 - 1/210*v**5 + 0*v + 0. Factor u(w).
-2*w**2*(w + 1)/7
Suppose -4*h = 5*c - 19, 2*h = -4*c + 4*h + 10. Determine g so that 10*g**2 - 16*g**4 + 32/3*g**5 + 0 - 4/3*g - 46/3*g**c = 0.
-1, 0, 1/4, 2
Let x(k) be the first derivative of 0*k + 3 + 32/3*k**3 + 8*k**2 + 3*k**4. Factor x(s).
4*s*(s + 2)*(3*s + 2)
Let t be 1/1 - (-23)/(-69). Factor -t*b**3 - 2*b**2 - 2*b - 2/3.
-2*(b + 1)**3/3
Let b(d) = d**4 + d**3 + d + 1. Let x(h) = -10*h**4 - 15*h**3 + 3*h**2 - 7*h - 15. Let v(t) = -22*b(t) - 2*x(t). Factor v(f).
-2*(f - 2)**2*(f - 1)*(f + 1)
Let k(p) be the second derivative of 3*p + 1/9*p**5 + 1/9*p**2 + 0 + 2/9*p**3 + 1/45*p**6 + 2/9*p**4. Factor k(f).
2*(f + 1)**3*(3*f + 1)/9
Let t = 1 - 2. Let y be 1/2*6 + t. Suppose -3 - 2 + y*c**3 - 4*c**3 + 6*c + 1 = 0. What is c?
-2, 1
Let q(o) = -4*o**3 - 23*o**2 - 20*o - 7. Let i(w) be the first derivative of 5*w**4/4 + 23*w**3/3 + 10*w**2 + 6*w + 6. Let g(d) = -3*i(d) - 2*q(d). Factor g(s).
-(s + 1)*(s + 2)*(7*s + 2)
Let m be -5 - (-9 - (-4 + 3)). Factor 1/4*r**2 + 0 + 1/4*r - 1/4*r**4 - 1/4*r**m.
-r*(r - 1)*(r + 1)**2/4
Suppose 2/9*f**2 - 2/3*f + 0 = 0. Calculate f.
0, 3
Let o = 23 + -23. Let k(c) be the third derivative of -c**2 + 0*c**4 + 1/270*c**5 + o*c + 0 - 1/27*c**3. Solve k(y) = 0 for y.
-1, 1
Let w = 3423/8 - 427. Let k = -47/72 + w. What is o in k*o**3 + 0*o + 8/9 - 2/3*o**2 = 0?
-1, 2
Let i(j) be the third derivative of -j**5/12 + 5*j**4/4 - 15*j**3/2 - 6*j**2. Factor i(a).
-5*(a - 3)**2
Let a(c) be the first derivative of -c**7/630 - c**6/360 + 3*c**2/2 + 2. Let y(d) be the second derivative of a(d). Factor y(j).
-j**3*(j + 1)/3
Let w(l) be the third derivative of -l**6/660 + l**5/55 - 5*l**4/132 + 22*l**2. Let w(t) = 0. What is t?
0, 1, 5
Let d(t) be the first derivative of 25*t**6/9 + 8*t**5/3 - 23*t**4/6 - 76*t**3/45 + 44*t**2/15 - 16*t/15 - 4. Find g, given that d(g) = 0.
-1, 2/5
Let g(p) be the third derivative of -p**8/1680 + p**7/630 - p**6/720 + p**4/8 + 3*p**2. Let n(m) be the second derivative of g(m). Let n(x) = 0. Calculate x.
0, 1/2
Let a(f) = 2*f + 22. Let t be a(-11). Let o(b) be the first derivative of 1/16*b**4 + 0*b**2 + 0*b**3 + 1/20*b**5 + 2 + t*b. Determine i so that o(i) = 0.
-1, 0
Let j(p) = 4*p**4 - p**3 + 2*p**2. Let a(w) = w**4. Let q(d) = 10*a(d) - 2*j(d). Factor q(s).
2*s**2*(s - 1)*(s + 2)
Let q = 1 + -3/4. What is x in 1/4*x**2 + 0 + 0*x - 1/4*x**5 - q*x**4 + 1/4*x**3 = 0?
-1, 0, 1
Let v(y) be the second derivative of -3*y - 1/27*y**3 - 1/27*y