
Let 17*f**3 + 36*f**4 + f**3 - 48*f**4 - 12*f**2 + 3*f**5 + 3*f = 0. Calculate f.
0, 1
Let i = -485 - -487. Determine d so that 2*d + 2/7*d**4 + 4/7 + 18/7*d**i + 10/7*d**3 = 0.
-2, -1
Find m, given that 6/5 + 4*m + 2/5*m**4 + 12/5*m**3 + 24/5*m**2 = 0.
-3, -1
Factor 256*x**3 - 352/3*x**2 - 1/3 + 35/3*x.
(3*x - 1)*(16*x - 1)**2/3
Suppose -3*o + 3*i = -3, 5*i = 4*o - 5 + 2. Factor 4/9*y + 2/9 + 2/9*y**o.
2*(y + 1)**2/9
Let h(s) be the first derivative of -s**5/40 + s**4/12 - 6*s - 3. Let m(f) be the first derivative of h(f). Factor m(l).
-l**2*(l - 2)/2
Let j(n) be the first derivative of 7*n**3 - 3*n**2 - 16. Solve j(a) = 0 for a.
0, 2/7
Let j(d) = 6*d**4 + 22*d**3 + 2*d**2 - 22*d. Let v(y) = 2*y**4 + 7*y**3 + y**2 - 7*y. Let f(c) = 3*j(c) - 8*v(c). Factor f(i).
2*i*(i - 1)*(i + 1)*(i + 5)
Let a(o) be the third derivative of 0 + 0*o - 3/2*o**4 + 3*o**2 + 1/2*o**3 + 9/5*o**5. Factor a(z).
3*(6*z - 1)**2
Let b = -17 - -19. Let -4*i**b + 6*i**2 - 2*i**3 + i**3 - 16*i**4 + 15*i**5 = 0. Calculate i.
-1/3, 0, 2/5, 1
Let s be (0 - -1)*5/(-5) - -3. Let h(m) be the first derivative of -1/20*m**4 - 1/15*m**3 - 3 + 0*m + 0*m**s + 1/30*m**6 + 1/25*m**5. Factor h(f).
f**2*(f - 1)*(f + 1)**2/5
Find b, given that 6/5*b + 0 - 8/5*b**2 = 0.
0, 3/4
Let z(i) be the first derivative of -i**8/448 - i**7/70 - i**6/40 + i**2 - 2. Let g(t) be the second derivative of z(t). Determine a so that g(a) = 0.
-2, 0
Let z(p) = -p**3 - p**2 - p. Let f(j) = -7*j**2 - 7*j. Let w(h) = 13*h**2 + 13*h. Let k(u) = 11*f(u) + 6*w(u). Let y(g) = -3*k(g) - 3*z(g). Solve y(r) = 0.
0
Factor 12*w**4 - 4*w**2 + 4*w**4 - 4*w**3 - 12*w**2 + 4*w + 0*w**3.
4*w*(w - 1)*(w + 1)*(4*w - 1)
Let x be (-6)/(-21) + (-150)/(-14). Let m = x + -8. Let -5 + 3*l**2 - 4*l**2 + 3 + m*l**2 = 0. What is l?
-1, 1
Factor -2*s - 3*s**2 + 3*s**2 - s**2 + 12 - s**2.
-2*(s - 2)*(s + 3)
Suppose 4*z = 6*z + 6. Let l(s) = s**2 + 3*s + 2. Let h be l(z). Let 3/2*b**4 - 3/2*b**3 - 1/2*b**5 + 0 + 1/2*b**h + 0*b = 0. Calculate b.
0, 1
Let j(g) be the second derivative of -5*g**4/12 - 5*g**3/2 + 6*g. Suppose j(y) = 0. Calculate y.
-3, 0
Let v(n) be the first derivative of 1/4*n**3 - 3/2*n**2 + 9/4*n + 1. Factor v(y).
3*(y - 3)*(y - 1)/4
Let p = -26 - -29. Let q(y) be the second derivative of y**p + 1/12*y**4 + 3*y + 0 + 9/2*y**2. Factor q(w).
(w + 3)**2
Factor -1/10*j**4 + 1/10*j**2 + 1/5*j**3 - 1/5*j + 0.
-j*(j - 2)*(j - 1)*(j + 1)/10
Determine j so that -2*j**2 - j + 8 + 0 - 2*j**2 - 3*j = 0.
-2, 1
Factor 0 - 2/3*h - 2/3*h**3 + 4/3*h**2.
-2*h*(h - 1)**2/3
Let b(x) be the third derivative of x**9/332640 + x**8/55440 + x**5/6 + 7*x**2. Let w(v) be the third derivative of b(v). Suppose w(j) = 0. Calculate j.
-2, 0
Let t(g) be the second derivative of -g**6/60 + g**4/8 + g**3/6 + 10*g. Find f such that t(f) = 0.
-1, 0, 2
Determine y, given that -3/2*y**3 + 0 + y**2 + 1/2*y**4 + 0*y = 0.
0, 1, 2
Let i(x) be the first derivative of x**3/12 + 3*x**2/8 + 8. Factor i(d).
d*(d + 3)/4
Let q(m) be the third derivative of m**7/840 - m**6/240 - 9*m**2. Factor q(v).
v**3*(v - 2)/4
Let m(g) = 2*g**3 - 11*g**2 - 9*g + 18. Let q be m(6). Find t such that -1/3*t**4 + 0*t**3 + 1/3*t**5 + q + 0*t**2 + 0*t = 0.
0, 1
Let w(y) be the second derivative of -y**5/10 - 5*y**4/12 + y**3/6 + 3*y**2 - 14*y. Determine a so that w(a) = 0.
-2, -3/2, 1
Let d(k) be the second derivative of k**6/105 + 3*k**5/70 + k**4/42 - k**3/7 - 2*k**2/7 + 9*k. Factor d(o).
2*(o - 1)*(o + 1)**2*(o + 2)/7
Let b(r) be the second derivative of r**5/50 - r**4/15 + r**3/15 - 11*r. Factor b(f).
2*f*(f - 1)**2/5
Let j(n) be the first derivative of -5/4*n**4 - 1/3*n**3 - 2*n + 5/2*n**2 + 3/5*n**5 - 3. Factor j(z).
(z - 1)**2*(z + 1)*(3*z - 2)
Let z be (-1 - 0)/(60/9 - 7). What is o in 0 + 2/5*o**5 + 4/5*o**4 + 0*o**z - 4/5*o**2 - 2/5*o = 0?
-1, 0, 1
Suppose -4*x = -22 + 6. Let b = 0 - 0. Find s such that 2/7*s**x + 0 - 2/7*s**2 - 2/7*s**5 + 2/7*s**3 + b*s = 0.
-1, 0, 1
Let k = -12 + 8. Let c(q) = -q**2 + 2*q - 2. Let t(b) = -b**2 + b - 2. Let l(u) = k*c(u) + 5*t(u). Factor l(f).
-(f + 1)*(f + 2)
Suppose -2*o - 8 = -6*o. Determine m, given that -143*m**2 + 141*m**o + 2*m**4 - m**3 + m**5 + 2*m - 2*m = 0.
-2, -1, 0, 1
Suppose 2*t = -2*i + 2, t - 5*i = -t + 23. Let c(h) be the second derivative of -1/9*h**3 + 1/18*h**t - 3*h + 0 + 0*h**2. Suppose c(p) = 0. Calculate p.
0, 1
Let g(w) be the first derivative of -4*w**3/3 + 2*w**2 - 23. Suppose g(o) = 0. What is o?
0, 1
Let t = 41 - 28. Suppose t*l + 28 = 15*l. Factor -l*d**2 + 8*d - 8/7.
-2*(7*d - 2)**2/7
Let m(d) be the second derivative of -d**8/336 + d**7/210 + d**6/40 - d**5/12 + d**4/12 - d**2/2 + d. Let f(r) be the first derivative of m(r). Factor f(a).
-a*(a - 1)**3*(a + 2)
Factor 0 + 4/9*o + 40/9*o**2.
4*o*(10*o + 1)/9
Let f(r) be the first derivative of 1 + 0*r + 2/15*r**5 + 1/6*r**4 + 0*r**2 - 2/9*r**3 - 1/9*r**6. Factor f(a).
-2*a**2*(a - 1)**2*(a + 1)/3
Let i(h) be the first derivative of -8/3*h**2 - 10/9*h**3 - 3 - 8/3*h - 1/6*h**4. Factor i(w).
-2*(w + 1)*(w + 2)**2/3
Let d(m) be the third derivative of 0*m**5 + 0*m**7 + m**2 + 0*m**3 + 1/240*m**6 - 1/1344*m**8 + 0*m - 1/96*m**4 + 0. Factor d(u).
-u*(u - 1)**2*(u + 1)**2/4
Suppose -50 = -4*g - 5*z - 11, 3*g = -2*z + 24. Let p = -11/2 + g. Determine v, given that -1/2 - p*v**3 - 3/2*v**2 - 3/2*v = 0.
-1
Let k = -26/21 - -11/7. Determine z so that -k*z + 1/3*z**3 + 0 + 0*z**2 = 0.
-1, 0, 1
Let a = 48 - 42. Let b(k) be the first derivative of -k**4 - 8/3*k**a + 0*k - 24/5*k**5 + k**2 - 2 + 2*k**3. Find g, given that b(g) = 0.
-1, -1/2, 0, 1/2
Let n = 5633/2010 + -1/402. Find j, given that 18/5*j**2 - n*j - 4/5 = 0.
-2/9, 1
Let o(g) be the first derivative of -11/12*g**3 + g - 1 + 3/2*g**2 - 15/8*g**4 + 5/4*g**5. Factor o(z).
(z - 1)**2*(5*z + 2)**2/4
Let t = 0 - -4. Let b be (-2)/t - 18/(-24). Solve b*a + 0 - 1/4*a**2 = 0 for a.
0, 1
Suppose 4*y = 0, 17*y + 20 = 5*p + 15*y. Factor -4/5*b**3 - 6/5*b**2 + 8/5 + 8/5*b + 2/5*b**p.
2*(b - 2)**2*(b + 1)**2/5
Find t, given that 55*t**5 - 55*t**3 + 5*t**4 + 5*t**4 - 60*t**2 + 50*t**2 = 0.
-1, -2/11, 0, 1
Let a(n) be the first derivative of 15*n**4/4 + 16*n**3 + 39*n**2/2 + 6*n + 31. Factor a(f).
3*(f + 1)*(f + 2)*(5*f + 1)
Factor 17*z**3 + 25 - 55*z**3 + 115*z - 49*z**2 + 19*z**3 + 24*z**3.
(z - 5)**2*(5*z + 1)
Let s be (-6706)/(-5) - (-4)/5. Factor -500*l**5 - 742*l**3 + 1112*l**2 + 40 + 144*l**3 - 304*l - 8 + 1600*l**4 - s*l**3.
-4*(l - 1)**2*(5*l - 2)**3
Let j be 2/3*39/91. Factor -j*n**2 + 6/7*n - 4/7.
-2*(n - 2)*(n - 1)/7
Suppose 5*s - 10 + 30 = -5*w, 0 = w + 3*s + 12. Suppose -3*b - b = w. Determine i, given that 2/3*i**2 + 0*i + b = 0.
0
Suppose -2*m + 2 = -2. Let z(i) be the second derivative of 1/6*i**4 + 0*i**2 - 1/15*i**6 + 1/10*i**5 + 0 - 1/3*i**3 + m*i. Determine b, given that z(b) = 0.
-1, 0, 1
Factor -i**2 - 1 + 9*i**2 - 4*i**3 + 1.
-4*i**2*(i - 2)
Let t(m) be the third derivative of -m**5/140 + 3*m**4/56 - m**3/7 - 3*m**2 - 4. Suppose t(s) = 0. What is s?
1, 2
Let a(p) be the first derivative of p**4/20 + p**3/3 + 3*p**2/10 - 9*p/5 - 10. Determine m, given that a(m) = 0.
-3, 1
Let d(v) = v**2 - 7*v + 6. Suppose -u + 12 = u. Let s be d(u). Suppose 0 + 1/2*p**2 + s*p = 0. What is p?
0
Let p(r) = 2*r - 2. Let q be p(-4). Let n be -10*(4/q)/1. Let 1/2 - g**5 - g**2 + 1/2*g**n - g + 2*g**3 = 0. Calculate g.
-1, 1/2, 1
Suppose -24 = -3*l - 3*z, -3*z + 17 = 2. Let o be 6/(-3)*l/(-10). Factor 2/5*h**3 + 1/5*h**5 - 2/5*h**2 + o*h**4 - 3/5*h - 1/5.
(h - 1)*(h + 1)**4/5
Let r = -5 - -9. Let x(v) be the first derivative of 0*v - 2/45*v**5 + 0*v**2 + 1/18*v**r + 0*v**3 - 1. Solve x(f) = 0.
0, 1
Suppose -37*m = -21 + 21. Solve -1/6*x**4 + 0 + m*x + 0*x**2 + 1/6*x**3 = 0 for x.
0, 1
Let f(a) be the second derivative of a**5/50 - 3*a**4/10 + 8*a**3/5 - 16*a**2/5 - 19*a. Solve f(k) = 0 for k.
1, 4
Let h be (-12)/(-3)*-1 - -4. Suppose -2*l + 5*l = h. Factor l + 0*t + 2/3*t**2.
2*t**2/3
Let z be (-2)/5 - 14/(-35). Let k be z - (5/(-3) - -1). Factor 0*i + 2/3*i**5 + 0 + 2*i**4 + k*i**2 + 2*i**3.
2*i**2*(i + 1)**3/3
Find k, given that -1/2*k + 1/2*k**2 + 1/2*k**3 + 0 - 1/2*k**4 = 0.
-1, 0, 1
Let j = 135/4 - 33. Find o such that -j*o**2 - 3/2*o**3 + 0 + 3/4*o = 0.
-1, 0, 1/2
Let v(y) be the second derivative of -y**4/42 - 4*y**3/21 