r -2/7*t**s + 2/7*t + 2/7*t**4 + 0 - 2/7*t**2.
2*t*(t - 1)**2*(t + 1)/7
Let v(r) be the first derivative of 4*r**5/25 - r**4/5 + 21. Determine w so that v(w) = 0.
0, 1
Let u = -13/12 - -4/3. Solve 1/2*g**2 + 0 + u*g**3 + 1/4*g = 0 for g.
-1, 0
Let u(r) be the second derivative of 5*r**7/42 - 4*r**6/3 - 9*r**5/4 - 2*r + 24. Factor u(c).
5*c**3*(c - 9)*(c + 1)
Factor 9/4 + 1/4*h**2 - 3/2*h.
(h - 3)**2/4
Let d(q) be the second derivative of 0*q**3 - 3/20*q**5 - 6*q**2 + 0 + 6*q + 3/4*q**4. Suppose d(j) = 0. Calculate j.
-1, 2
Suppose l + 3 = 0, -2*l = -4*a + 3*l + 103. Let t be 6/2 - a/8. Let 1/4*h**2 + 0 - 1/4*h**4 + 1/4*h**3 + 0*h - t*h**5 = 0. Calculate h.
-1, 0, 1
Suppose 2*m = -2, -4*r = -2*r - 3*m - 75. Let p be (4/3)/(40/r). Factor -4/5 - 2/5*k**3 + p*k + 0*k**2.
-2*(k - 1)**2*(k + 2)/5
Let f(w) = 1. Let m(l) = l + 7. Let b(n) = 6*f(n) - m(n). Let q(g) = -2*g**2 + 4*g + 2. Let h = 0 - 2. Let u(z) = h*b(z) - q(z). Determine r so that u(r) = 0.
0, 1
Let y(m) be the second derivative of -1/3*m**2 - 1/6*m**4 + 1/30*m**5 + 0 + 1/3*m**3 - 2*m. Factor y(a).
2*(a - 1)**3/3
Let v = -4 + 9. Let d(c) = -c**2 - 5. Let f(n) = -n**2 - 4. Let x(u) = v*f(u) - 4*d(u). Find z, given that x(z) = 0.
0
Let u(f) = f**4 + 6*f**3 - 8*f**2 - 6*f + 7. Let z(a) = 2*a**4 + 13*a**3 - 17*a**2 - 13*a + 15. Let x(w) = -13*u(w) + 6*z(w). Factor x(y).
-(y - 1)**2*(y + 1)**2
Let v(x) be the second derivative of -x**5/510 + x**4/204 + 5*x**2/2 + 4*x. Let j(w) be the first derivative of v(w). Determine b, given that j(b) = 0.
0, 1
Suppose 0*g = 3*g - 3. Let u = 4 - g. Factor -1/3*f**2 - 4/3 + f**u - 8/3*f.
(f - 2)*(f + 1)*(3*f + 2)/3
Suppose 17 + 8 = 5*g. Let x(p) be the third derivative of 0*p + 1/40*p**g - 1/16*p**4 - p**2 + 1/12*p**3 + 0 - 1/240*p**6. Factor x(a).
-(a - 1)**3/2
Let z be -2 - (-1 - (3 + 0)). Suppose 0*i = -z*i. Factor -2/5*y + 0*y**2 + 2/5*y**3 + i.
2*y*(y - 1)*(y + 1)/5
Let y(g) be the second derivative of -g**4/16 + 7*g**3/8 - 15*g**2/4 - 4*g - 1. Factor y(w).
-3*(w - 5)*(w - 2)/4
Let w(a) be the first derivative of 1/8*a**2 - 1/16*a**4 - 5/12*a**3 + 3/20*a**5 + 1/2*a - 2. Factor w(n).
(n - 1)**2*(n + 1)*(3*n + 2)/4
Let y(j) = 4*j - 19. Let d be y(6). Let k(f) be the first derivative of 7*f**2 + 3 - 2/5*f**d - 6*f**3 + 5/2*f**4 - 4*f. Find q, given that k(q) = 0.
1, 2
Suppose 2*h + 1 = 1. Let b(o) be the third derivative of h*o**4 + 1/270*o**5 + 0 + 0*o + 0*o**3 + 2/945*o**7 + 1/180*o**6 + 2*o**2. Factor b(c).
2*c**2*(c + 1)*(2*c + 1)/9
Let q be ((-2)/16*-4)/(5/20). Find y such that 1/2*y**3 + 0 + y**q + 1/2*y = 0.
-1, 0
Let w = 10 + -10. Let o be 40/15 - (2 + w). Find d such that -o*d**4 + 0*d**2 - 4/9*d**5 + 0*d + 0 - 2/9*d**3 = 0.
-1, -1/2, 0
Let o(v) be the second derivative of v**7/105 + 7*v**6/75 + 9*v**5/25 + 11*v**4/15 + 13*v**3/15 + 3*v**2/5 + 18*v. Factor o(t).
2*(t + 1)**4*(t + 3)/5
Let d = -7 - -12. Suppose -d*g + 9 = -1. Factor -4/9*a - 14/9*a**g + 0.
-2*a*(7*a + 2)/9
Let f(v) be the first derivative of v**6/15 + v**5/5 - v**4/2 - 4*v**3/3 + 4*v**2 - 3*v + 4. Let h(i) be the first derivative of f(i). Factor h(g).
2*(g - 1)**2*(g + 2)**2
Let y(r) be the third derivative of 0*r**4 + 4*r**2 + 1/30*r**5 + 0 + 0*r + 0*r**3 + 1/105*r**7 - 1/30*r**6. Solve y(n) = 0.
0, 1
Suppose 9*g + 23*g**2 - 10*g + 4 + 17*g**3 + 3*g**4 + 17*g - 3*g**3 = 0. Calculate g.
-2, -1, -2/3
Let h(g) be the first derivative of g**5 + 5*g**4/2 - 5*g**3 - 20*g**2 - 20*g + 25. Factor h(k).
5*(k - 2)*(k + 1)**2*(k + 2)
Let t(n) be the first derivative of -2*n**2 + 2. Let b be t(-1). Factor v**2 - 4 - 1 + b.
(v - 1)*(v + 1)
Let u = 4 - 2. Factor 0*c**2 + c**u + 3*c**2 - 2*c**2.
2*c**2
Let s(i) = -i**2 + 3*i - 3. Let t be s(4). Let f be 3/t + (2 - -1). Factor 0*z + 10/7*z**5 - 24/7*z**4 + f*z**3 - 4/7*z**2 + 0.
2*z**2*(z - 1)**2*(5*z - 2)/7
Let y = 116 - 457/4. Let 3/4*o**3 + 1/2*o - 7/4*o**4 - 5/4*o**5 + y*o**2 + 0 = 0. What is o?
-1, -2/5, 0, 1
Let n = 91 - 272/3. Solve 1/3*y - n*y**2 + 0 = 0.
0, 1
Let r(q) be the first derivative of -q**4/4 - q**3 - q**2 + 2. Find c such that r(c) = 0.
-2, -1, 0
Let l = 12 - 10. Let j(i) be the first derivative of -1/2*i + 5/6*i**3 - 2 + 3/8*i**4 + 1/4*i**l. Factor j(k).
(k + 1)**2*(3*k - 1)/2
Let h(g) = g**2 - 1. Let s be h(1). Let d = 0 - s. What is m in -4*m**3 - 3*m**2 - 2*m**4 + d*m**4 + m**2 = 0?
-1, 0
Let w(j) be the second derivative of 0 + 1/150*j**6 - 1/50*j**5 + j - 1/30*j**4 + 1/10*j**2 + 1/210*j**7 + 1/30*j**3. Factor w(a).
(a - 1)**2*(a + 1)**3/5
Suppose 3*m + m - 16 = 0. Let -8*c - c**2 + 4*c**3 + c**4 + 8 - 3*c**m + 4*c**4 - 5*c**2 = 0. What is c?
-2, 1
Let g be (-4)/14 - 17/(952/(-16)). Factor g*v**3 + 0 + 0*v + 1/5*v**5 + 4/5*v**2 - 3/5*v**4.
v**2*(v - 2)**2*(v + 1)/5
Let n(y) = -y**3 - y + 1. Let w(x) = -9*x**3 - 5*x**2 + 46*x - 26. Let j(l) = -6*n(l) - w(l). Solve j(q) = 0 for q.
-2, 2/3, 1
Factor 3/4*z - 1/2*z**2 - 1/4*z**3 + 0.
-z*(z - 1)*(z + 3)/4
Factor -4/3*d - 2/9*d**2 - 2.
-2*(d + 3)**2/9
Let y(k) be the second derivative of k**7/840 + k**6/240 - k**5/20 + k**4/12 - 3*k. Let l(q) be the third derivative of y(q). Factor l(r).
3*(r - 1)*(r + 2)
Let g(u) be the second derivative of -1/75*u**6 - 1/10*u**4 + 0 + 4/15*u**3 + 3*u + 4/5*u**2 - 2/25*u**5. Solve g(m) = 0 for m.
-2, -1, 1
Let r be ((-3)/2)/((-9)/12). Find g such that 2/7*g**r - 2/7 + 4/7*g**3 - 4/7*g = 0.
-1, -1/2, 1
Let j(y) be the first derivative of 4 + 1/3*y**6 + 2*y**2 + 14/3*y**3 + 2*y**5 + 9/2*y**4 + 0*y. Let j(b) = 0. What is b?
-2, -1, 0
Suppose 19*s - 8*s = 22. Suppose 8*c - 2 - 7/2*c**s = 0. What is c?
2/7, 2
Let b(z) be the third derivative of -z**7/98 + z**6/140 - 14*z**2. Suppose b(x) = 0. What is x?
0, 2/5
Let f(n) be the first derivative of n**4/4 - 7*n**2/2 + 6*n - 24. Determine i, given that f(i) = 0.
-3, 1, 2
Factor 3*m**4 - 8/3 + 62/3*m**2 + 43/3*m**3 + 20/3*m.
(m + 1)*(m + 2)**2*(9*m - 2)/3
Factor 8/3 - 4/3*u**2 + 4/3*u.
-4*(u - 2)*(u + 1)/3
Suppose -w + 4*i = -6*w + 26, i - 12 = -4*w. Let y be (-84)/(-35) + w/(-5). Find c, given that 0*c**3 - 2*c + 3*c**3 + 3*c**2 + 7*c**3 + 7*c**4 + y*c**3 = 0.
-1, 0, 2/7
Let y be ((-12)/18)/((-8)/60) - 1. Find j such that 0*j + 0*j**3 + 1/4*j**y - 1/4*j**2 + 0 = 0.
-1, 0, 1
What is s in 2*s**4 - 2*s**4 + 6*s + 5 - 6*s**3 - 2 - 3*s**4 = 0?
-1, 1
Let o be 109/(-660) - (-10)/55. Let z(d) be the second derivative of 0 + o*d**5 + 0*d**2 + 1/18*d**3 - 2*d + 1/18*d**4. Factor z(j).
j*(j + 1)**2/3
Let h(m) be the third derivative of m**5/30 - m**4/12 - 2*m**3/3 + 3*m**2. Factor h(o).
2*(o - 2)*(o + 1)
Suppose 6*x = 4*i + x, i = 5*x. Let u(n) be the first derivative of n**4 - 3 - 2/5*n**5 + i*n**2 - 2/3*n**3 + 0*n. Factor u(v).
-2*v**2*(v - 1)**2
Factor 6*b**4 + 3*b**2 - 10*b**4 + 2*b**5 + b**4 + 0*b**5 - b - b**3.
b*(b - 1)**2*(b + 1)*(2*b - 1)
Let s(w) be the first derivative of -w**6/9 - 2*w**5/15 + w**4/6 + 2*w**3/9 - 5. Let s(m) = 0. Calculate m.
-1, 0, 1
Factor -2*i**3 + 9*i - 6*i - i**3.
-3*i*(i - 1)*(i + 1)
Let p(n) = n + n + 2 - 3. Let w be p(3). Determine b so that -1 + 2*b**4 + 3 - 12*b**3 + b**2 - w*b**2 + 6*b**5 + 6*b = 0.
-1, -1/3, 1
Let u(k) be the first derivative of 4*k**3/3 - 20*k**2 + 100*k + 15. Factor u(p).
4*(p - 5)**2
Let l(n) be the second derivative of -n**8/448 - n**7/140 + n**5/40 + n**4/32 + n**2 - 2*n. Let d(b) be the first derivative of l(b). Factor d(x).
-3*x*(x - 1)*(x + 1)**3/4
Let x = -30 + 30. Let u(z) be the third derivative of x*z + 1/16*z**4 - 1/120*z**5 + 3*z**2 + 1/12*z**3 + 0 - 1/80*z**6. Factor u(f).
-(f - 1)*(f + 1)*(3*f + 1)/2
Find d, given that 4*d**4 + 10*d**3 + 8*d**3 + 2*d**3 = 0.
-5, 0
Let n(l) be the first derivative of -l**3 - 7/4*l**4 + l**5 + 4 + 7/2*l**2 - 2*l. What is i in n(i) = 0?
-1, 2/5, 1
Let w(g) be the second derivative of 1/42*g**4 + 0 + 1/21*g**3 + 0*g**2 + 2*g. Factor w(j).
2*j*(j + 1)/7
Let 2/5*y**2 + 162/5 + 36/5*y = 0. What is y?
-9
Let f(k) be the first derivative of -k**5/10 + k**4/24 - 2. Factor f(q).
-q**3*(3*q - 1)/6
Let f(n) be the second derivative of -n**6/80 - n**5/40 + n**2 + 3*n. Let b(p) be the first derivative of f(p). Factor b(y).
-3*y**2*(y + 1)/2
Let v = -517/20 - -26. Let j(t) be the second derivative of 1/50*t**6 + 2/5*t**4 + 2/5*t**3 + v*t**5 - 2*t + 0 + 0*t**2. Let j(r) = 0. What is r?
-2, -1, 0
Let x(b) = b**3 + 3*b**2 