e 10 = 5*f - 0*f. Factor 20*u - 10*u**2 + 25*u**2 + 15*u**f - 5*u**2 + 4.
(5*u + 2)**2
Suppose 5*g = -0*g. Let y = -2 + 4. Factor g + 1 - u**y + 4*u + u**3 - 5*u.
(u - 1)**2*(u + 1)
Let x(d) be the third derivative of 1/2*d**3 + 0 - 1/70*d**7 + 0*d**5 + 0*d + 1/4*d**4 + 9*d**2 - 1/20*d**6. Solve x(s) = 0.
-1, 1
Let x(c) be the second derivative of 0*c**4 + 3*c - 1/3*c**3 + 0 + 0*c**2 + 1/120*c**5 + 1/360*c**6. Let w(a) be the second derivative of x(a). Factor w(i).
i*(i + 1)
Let i be 0 - (-3)/(-30) - 224/(-640). Find l, given that -1/2 - 3/4*l - i*l**2 = 0.
-2, -1
Let j(t) be the second derivative of -t**4/3 + 11*t**3/3 - 121*t**2/8 - 43*t. Solve j(b) = 0 for b.
11/4
Let l(f) be the second derivative of -f**7/350 - f**6/300 - f**2/2 + 2*f. Let n(s) be the first derivative of l(s). Factor n(g).
-g**3*(3*g + 2)/5
Let v(k) be the third derivative of -k**7/1365 - k**6/156 - 3*k**5/130 - 7*k**4/156 - 2*k**3/39 + 47*k**2. Solve v(w) = 0 for w.
-2, -1
Factor 16/3 - 8/3*x + 1/3*x**2.
(x - 4)**2/3
Suppose -15 = -0*a - a. Suppose -2*o - a*o**5 + 0*o + 0*o**5 + o**2 - 2*o**2 + 17*o**3 + o**4 = 0. What is o?
-1, -1/3, 0, 2/5, 1
Let n be 6/4*2 - 5. Let z be (n/(-6))/(5/20). Factor 1/3*o**3 - 5/3*o**2 - z + 8/3*o.
(o - 2)**2*(o - 1)/3
Let k(v) = -v**3 + 3*v**2 - 3*v + 2. Let j be k(2). Let a = -531 + 533. Determine x so that j - 6/5*x + 36/5*x**3 - 9/5*x**a - 21/5*x**4 = 0.
-2/7, 0, 1
Let h(u) be the third derivative of -u**5/30 - u**4/4 - 2*u**3/3 + 7*u**2. Determine q so that h(q) = 0.
-2, -1
Let f(l) = 11*l**2 + 23*l + 29. Let a = -5 + 7. Let h(c) = 6*c**2 + 9 + 0*c**2 - a*c**2 + 8*c + 1. Let j(k) = -6*f(k) + 17*h(k). Factor j(d).
2*(d - 2)*(d + 1)
Solve 3 + 0*m - 9/4*m**2 - 3/4*m**3 = 0.
-2, 1
Let q = 119 - 119. Find v, given that 4/7*v - 2/7*v**2 + q - 2/7*v**3 = 0.
-2, 0, 1
Let c(n) be the third derivative of n**5/90 + 5*n**4/36 + 2*n**3/3 + 18*n**2. Solve c(r) = 0.
-3, -2
Let u(z) be the first derivative of -1 + 1/3*z**3 + 7/4*z**2 - 7/8*z**4 - z. Determine m, given that u(m) = 0.
-1, 2/7, 1
Suppose 7*a = 6*a. Let l(j) be the second derivative of a + 1/165*j**6 + 1/55*j**5 - 2*j + 0*j**3 + 1/66*j**4 + 0*j**2. Factor l(g).
2*g**2*(g + 1)**2/11
Let j = -157/15 - -54/5. Factor j*b + 0 + 1/3*b**2.
b*(b + 1)/3
Suppose 2 - 5 = -2*s + u, 0 = -3*s + 4*u + 12. Let a be (-3)/9 - (-7)/3. Let s - 2/3*x - x**a = 0. Calculate x.
-2/3, 0
Let t(m) be the second derivative of -m**7/189 + m**6/135 + m**5/90 - m**4/54 + 3*m. Factor t(o).
-2*o**2*(o - 1)**2*(o + 1)/9
Let i(t) be the second derivative of -t**5/15 - t**4/3 + 2*t**3/9 + 2*t**2 - 14*t. Determine m so that i(m) = 0.
-3, -1, 1
Determine l so that l**5 + 16*l**4 - 13*l**4 - 2*l**5 - 2*l**5 = 0.
0, 1
Let l(j) = -15*j**2 + 99*j - 90. Let y(q) = -3*q**2 + 20*q - 18. Let f(u) = 5*l(u) - 24*y(u). Factor f(g).
-3*(g - 3)*(g - 2)
Let y(c) be the second derivative of -c**4 - 2*c**3/3 - 5*c. Let y(u) = 0. Calculate u.
-1/3, 0
Suppose -5*z = 5*m - 5, m - 2*z - 3 = 4. Suppose -2*k = -m*k. Suppose -x**3 + 4/3*x + 1/3*x**4 + 0*x**2 + k = 0. Calculate x.
-1, 0, 2
Suppose -3*a - 2 = -4*y - 13, -a = -3*y - 2. Suppose k + 20 = 3*b + 6, -3*b + 10 = -a*k. Factor 2/3*o**b - 16/9*o**4 + 0*o**2 + 4/3*o**3 - 2/9*o + 0.
2*o*(o - 1)**3*(3*o + 1)/9
Let v(m) = -m**3 + m. Let q(d) = -12*d**2 - 26*d - 16. Let x = -3 - -5. Let p(n) = x*q(n) + 4*v(n). Factor p(y).
-4*(y + 2)**3
Let v(f) be the third derivative of -f**7/735 - f**6/140 - f**5/70 - f**4/84 + 12*f**2. Let v(y) = 0. Calculate y.
-1, 0
Let p(l) = 3*l - 18. Let c be p(6). Suppose 0 = -n - o, c = 3*n - 2*o - 3*o - 16. Suppose 2/9*k**4 - 8/9*k**3 - 8/9*k + 4/3*k**n + 2/9 = 0. What is k?
1
Let b(c) = -8*c**2 + 7*c - 7. Let d(f) be the second derivative of f**4/12 - f**3/6 + f**2/2 + 5*f. Let s(l) = -3*b(l) - 21*d(l). Factor s(k).
3*k**2
Let d(s) be the second derivative of -s**5/10 - s**4/3 + s**3/3 + 2*s**2 + 2*s + 20. Suppose d(t) = 0. What is t?
-2, -1, 1
Suppose -3*s = 5*s - 96. Suppose 6*d - s + 0 = 0. Factor -7/2*x**d + x + 0.
-x*(7*x - 2)/2
Let u(y) be the third derivative of 5*y**8/168 - 11*y**7/42 + 17*y**6/24 + y**5/6 - 25*y**4/6 + 20*y**3/3 + 15*y**2. Suppose u(a) = 0. Calculate a.
-1, 1/2, 2
Suppose -h - 6 + 8 = 0. Let n(b) = 2*b - 7. Let j be n(5). Suppose 2/7*d**5 - 2/7*d**j + 0 + 0*d**h + 0*d + 0*d**4 = 0. What is d?
-1, 0, 1
Let f be (-2 - 51/27) + 4. Let k(w) be the third derivative of 3*w**2 - 1/45*w**5 + 1/315*w**7 + f*w**3 + 0*w + 0*w**4 + 0 + 0*w**6. Solve k(u) = 0.
-1, 1
Let u be -2 + (7 + -3 - -2). Factor 2*g**2 - u + 7*g + 2*g - 3*g - 4*g**2.
-2*(g - 2)*(g - 1)
Suppose -5*d + 1 = 11. Let a = 2 - d. Let 2/9*u**a + 0 - 2/9*u**5 + 4/9*u**3 + 0*u**2 + 0*u = 0. What is u?
-1, 0, 2
Let g(p) be the third derivative of 1/75*p**5 + 0*p + 0*p**4 - 1/60*p**6 + p**2 + 0 + 0*p**3 + 4/525*p**7 - 1/840*p**8. Suppose g(k) = 0. Calculate k.
0, 1, 2
Let z(s) = -s**2 + 5*s - 3. Let o be z(4). Let y(q) = -q**4 + 3*q**2. Let n(l) = l**2 + 1. Let h(t) = o*n(t) - y(t). What is a in h(a) = 0?
-1, 1
Let u be (-3 + 0)/6*0. Suppose 57 = 4*i + 5*v, -i + 2*v = -0*v + 2. Factor 2*q**2 - 3*q**2 + 9 - i + u*q**2.
-(q - 1)*(q + 1)
Let b = 31/105 - 2/21. Let g be 280/425 - 2/34. Factor 2/5 + g*s + b*s**2.
(s + 1)*(s + 2)/5
Let i(x) = -6*x**3 - 36*x**2 - 15*x + 36. Let v(f) = -f**3 - 7*f**2 - 3*f + 7. Let a(b) = -4*i(b) + 21*v(b). Suppose a(g) = 0. What is g?
-1, 1
Let s(g) be the first derivative of -g**4/22 - 2*g**3/33 + g**2/11 + 2*g/11 - 1. Determine m so that s(m) = 0.
-1, 1
Let c(f) be the first derivative of 3 - 2/35*f**5 + 2/21*f**3 - 1/7*f**2 + 0*f + 1/14*f**4. Determine v so that c(v) = 0.
-1, 0, 1
Factor -3/5*z**2 - 6/5 + 9/5*z.
-3*(z - 2)*(z - 1)/5
Let d be -12*2/((-8)/2). Let h(l) be the third derivative of 1/60*l**5 + 0*l + 0*l**4 + 1/30*l**d + 1/70*l**7 - l**2 + 0 + 0*l**3. Factor h(w).
w**2*(w + 1)*(3*w + 1)
Let t(q) be the second derivative of q**5/20 + q**4/4 - 2*q**2 + 10*q. Suppose t(i) = 0. What is i?
-2, 1
Let b(c) = -3*c**5 + 2*c**4 - 3*c**3 - 13*c**2 + 5*c. Let y(m) = 2*m**5 - m**4 + m**3 + 7*m**2 - 3*m. Let h(t) = -3*b(t) - 5*y(t). Factor h(g).
-g**2*(g - 2)*(g + 1)*(g + 2)
Let s be 45/(-6)*(-4)/(-3). Let r be (-1)/((-5)/s*-1). Factor 8*g**r - 1/2*g**5 + 1 - 7*g**3 - 9/2*g + 3*g**4.
-(g - 2)*(g - 1)**4/2
Let v = 215 + -427/2. Factor v*o**2 + 0 + 3/2*o.
3*o*(o + 1)/2
Let a(w) be the first derivative of w**5 + 5*w**4/2 - 5*w**2 - 5*w + 11. Suppose a(x) = 0. What is x?
-1, 1
Let r = 9 + -5. Let j be (2 - -1)*r/6. Factor 14*w**3 - 19*w**3 - w - j*w**2 - 2*w**4 - 2*w**2.
-w*(w + 1)**2*(2*w + 1)
Factor 98/9 + 2/9*y**2 - 28/9*y.
2*(y - 7)**2/9
Let v(p) = 9*p**2 + 19*p + 44. Let i(c) = -3*c**2 - 6*c - 15. Let g(h) = 17*i(h) + 6*v(h). Solve g(s) = 0.
-3, -1
Let k(h) be the second derivative of 3*h**5/70 + 5*h**4/42 + h**3/21 - h**2/7 + 9*h. Suppose k(o) = 0. What is o?
-1, 1/3
Suppose 4*k + 26 = 5*l, 0*k - 14 = -l + 3*k. Suppose -2*o**3 - 8*o + 6*o**l + 4*o - 12*o**2 = 0. Calculate o.
-2, -1, 0
Let u(r) be the third derivative of r**10/302400 - r**9/80640 + r**8/80640 - r**5/15 - r**2. Let t(f) be the third derivative of u(f). Factor t(n).
n**2*(n - 1)*(2*n - 1)/4
Let t(r) = r**2 - 5*r + 13. Let a(g) = 3*g**2 - 16*g + 40. Let d(i) = -i + 4. Let p be d(7). Let j(b) = p*a(b) + 8*t(b). Factor j(z).
-(z - 4)**2
Determine d, given that 2*d - 1/5*d**3 + 1/5*d**2 + 8/5 = 0.
-2, -1, 4
Let x be (1/4)/(1/(-4)*-2). Let 1/2*b + x*b**2 - 1 = 0. What is b?
-2, 1
Let u(j) be the second derivative of -j**5/4 - 25*j**4/12 - 5*j**3 + 8*j. Determine l, given that u(l) = 0.
-3, -2, 0
Suppose -56*l**2 + 31*l - 16*l**4 - 2*l**5 - 65*l - 4 - 44*l**3 - 4 = 0. What is l?
-4, -1
Factor -16/3*b**3 + 12*b**2 + 1/3 - 11/3*b - 64/3*b**4.
-(b + 1)*(4*b - 1)**3/3
Suppose -4*v + 6*v - 10 = 0. Suppose -v*b = -4*z + 8, 10*z + 4*b = 5*z + 10. Solve 0*p + 1/3*p**5 - 1/3*p**z + 0 - p**4 + p**3 = 0 for p.
0, 1
Let z(y) be the third derivative of y**6/720 - y**4/144 + 27*y**2. Suppose z(q) = 0. What is q?
-1, 0, 1
Let t be 2/9 - (-58)/(-18). Let r be 1 + (t + 4 - 0). Factor 8/7*f + 2/7*f**3 + 0 - 8/7*f**r.
2*f*(f - 2)**2/7
Suppose 0 = o + 2, -g - 2 = 3*g + o. Suppose g = 5*z - 0 - 10. Let 0*x - 2/7*x**3 + 0 - 2/7*x**z + 2/7*x**4 + 2/7*x**5 = 0. Calculate x.
-1, 0, 1
Let t(f) = 5*f**3 - 47*f**2 - 41*f + 11. Let l(