- 3/4*x**5 + 3/4*x**3 + 0 = 0.
-1, 0, 1
Let z be -4 + 3/3 + 9. Let v(t) be the third derivative of -2*t**2 + 0*t + 0 - 1/540*t**z + 0*t**3 + 0*t**5 + 1/108*t**4. Let v(y) = 0. Calculate y.
-1, 0, 1
Let a = 5 - 1. Let k be (a/(-6))/(1/(-3)). Find g, given that 0 - 1/2*g**k - 1/2*g = 0.
-1, 0
Suppose 12/7*z - 3/7*z**4 + 15/7*z**3 + 0 - 24/7*z**2 = 0. Calculate z.
0, 1, 2
Let a(n) be the first derivative of 3*n**4/4 + n**3 - 1. Suppose a(m) = 0. Calculate m.
-1, 0
Let f = 2 - -4. Suppose -p + 4 + f = 4*g, 0 = -3*g + p + 4. Factor -1/3*q + 0 - q**3 + q**g + 1/3*q**4.
q*(q - 1)**3/3
Let k(h) be the second derivative of 3*h**5/80 - h**4/16 + 5*h. Suppose k(w) = 0. Calculate w.
0, 1
What is y in -2/5*y - 2/5*y**5 + 4/5*y**3 - 2/5 - 2/5*y**4 + 4/5*y**2 = 0?
-1, 1
Let v(z) be the third derivative of -z**5/240 + z**4/32 - z**3/12 + 57*z**2. Find c such that v(c) = 0.
1, 2
Let j(g) be the first derivative of 2*g**4/13 - 64*g**3/39 + 29*g**2/13 - 14*g/13 - 33. Factor j(f).
2*(f - 7)*(2*f - 1)**2/13
Suppose 13*g = 12*g + 1. Determine a so that 3/2*a**2 - 5/2*a - g = 0.
-1/3, 2
Let v be (-244)/183*3/(-2). Factor 4/3*d + 1/3 - 5/3*d**v.
-(d - 1)*(5*d + 1)/3
Factor -9/5*p - 1/5*p**2 - 14/5.
-(p + 2)*(p + 7)/5
Let w(q) be the third derivative of 1/20*q**5 + 1/10*q**6 - 3*q**2 + 0*q + 0*q**4 + 0*q**3 + 0. Suppose w(i) = 0. What is i?
-1/4, 0
Suppose 0 = 5*z + s - 16, 2*z + 5 + 3 = -4*s. Suppose -o**3 + 1/2*o**5 + 0*o**2 + 1/2*o + 0*o**z + 0 = 0. Calculate o.
-1, 0, 1
Solve -2 + 8*m - 2*m**5 + 4*m**2 + 4*m**3 - 2*m**4 - 10*m + 0*m**3 = 0 for m.
-1, 1
Let t(p) = -2*p + 1. Let u be t(-7). Let n(k) = -k + 15. Let q be n(u). What is c in 4/5*c**3 - 2/5*c**5 + 0*c**4 - 2/5*c + q*c**2 + 0 = 0?
-1, 0, 1
Let o(u) be the first derivative of -u**3/8 + 3*u**2/8 - 3*u/8 - 2. Suppose o(j) = 0. Calculate j.
1
Let a(x) = 3*x**2 + 6*x + 9. Let r(c) be the third derivative of c**5/60 + c**4/24 + c**3/6 + 6*c**2. Let o(s) = -a(s) + 6*r(s). Factor o(g).
3*(g - 1)*(g + 1)
Factor 2/3*m + 5/3*m**2 + 0 + 1/3*m**4 + 4/3*m**3.
m*(m + 1)**2*(m + 2)/3
Let b(w) = 2*w**5 + 3*w**4 + 3*w**3 + 7*w**2 - 5*w - 5. Let m(q) = -q**5 - q**4 - q**3 - 3*q**2 + 2*q + 2. Let p(j) = 2*b(j) + 5*m(j). Factor p(o).
-o**2*(o - 1)**2*(o + 1)
Factor -30*a**2 + 27*a - 5 + 9*a**3 - 1 + 0.
3*(a - 2)*(a - 1)*(3*a - 1)
Let y(m) be the second derivative of -m**8/10080 - m**7/756 - m**6/360 + m**5/20 + m**4/6 - 2*m. Let o(n) be the third derivative of y(n). Factor o(r).
-2*(r - 1)*(r + 3)**2/3
Find n such that n**3 - 3/4 + 15/4*n**2 + 2*n = 0.
-3, -1, 1/4
Let x(n) = n - 3. Let w be x(8). Let q = 8 - w. Factor -26*o**4 - o**2 + 25*o**4 + o**3 + o**q.
-o**2*(o - 1)**2
Let h(i) = i**3 - 7*i**2 + 6*i + 2. Let c be (12/14)/((-5)/(-35)). Let y be h(c). Determine z, given that z**4 - 1/2*z**3 + 0 + 0*z - 1/2*z**5 + 0*z**y = 0.
0, 1
Let c be (-1024)/60 - 4/(-10). Let r = 17 + c. What is f in 1/3*f + 1/3*f**4 + 0 - 1/3*f**3 - r*f**2 = 0?
-1, 0, 1
Let i(m) = -m**2 - m. Let x be (-1)/(-2) + (-2)/(-4). Let s(n) be the second derivative of n**4/6 + 4*n**3/3 - 6*n. Let l(u) = x*s(u) + 4*i(u). Factor l(d).
-2*d*(d - 2)
Factor 0 + 8/13*z**2 + 2/13*z + 8/13*z**3.
2*z*(2*z + 1)**2/13
Find u such that 6/5 + 27/5*u**2 + 21/5*u + 3/5*u**4 + 3*u**3 = 0.
-2, -1
Let f(h) be the first derivative of -1/8*h**4 - 1/2*h**2 + 0*h - 3 - 3/2*h**3 + 6/5*h**5. Determine j so that f(j) = 0.
-2/3, -1/4, 0, 1
Let v = 77 - 71. Let x(z) be the second derivative of -4/5*z**2 - 16/75*z**v - 97/30*z**4 - z + 12/5*z**3 + 0 + 36/25*z**5. Factor x(n).
-2*(n - 2)**2*(4*n - 1)**2/5
Let h(q) be the third derivative of 3*q**2 + 0 + 0*q - 1/90*q**5 + 0*q**3 + 1/18*q**4 - 1/180*q**6. Factor h(w).
-2*w*(w - 1)*(w + 2)/3
Let d be (-2)/(-5) - (-54)/(-10). Let g = d + 7. Let -2*i**2 - 4*i - g*i**3 + 4*i = 0. What is i?
-1, 0
Let s(n) be the second derivative of n**5/2 + 5*n**4/12 - 25*n**3/6 + 5*n**2 - 35*n. Determine p so that s(p) = 0.
-2, 1/2, 1
Let o(z) be the third derivative of z**5/15 - z**4 + 10*z**3/3 + 14*z**2. Determine c so that o(c) = 0.
1, 5
Factor -12/7*n**3 + 20/7*n**4 - 8/7*n**2 + 0 + 0*n.
4*n**2*(n - 1)*(5*n + 2)/7
Suppose -m**2 + 3 + 3*m - m - 4 = 0. Calculate m.
1
Let n(h) = -2*h + 39. Let q be n(18). Factor c**2 - 1/3*c**q + 0*c - 4/3.
-(c - 2)**2*(c + 1)/3
Let q(s) = 300*s**4 - 285*s**3 + 105*s**2 + 40. Let p(x) = 23*x**4 - 22*x**3 + 8*x**2 + 3. Let y(t) = -40*p(t) + 3*q(t). Factor y(g).
-5*g**2*(g - 1)*(4*g - 1)
Suppose 9 + 7 = -4*d. Let p(h) = -5*h**4 - 11*h**3 - 11*h**2 - 5*h. Let j(q) = -14*q**4 - 32*q**3 - 34*q**2 - 16*q. Let n(o) = d*j(o) + 11*p(o). Factor n(z).
z*(z + 1)*(z + 3)**2
Let s(l) = -l**4 + l**2 + 4*l + 2. Suppose 0 = -3*w + w - 6. Let t(q) = -q**4 + q**3 + q**2 + q + 1. Let h(m) = w*s(m) + 6*t(m). Solve h(b) = 0.
-1, 0, 1, 2
Let o(y) be the first derivative of -3*y**4/4 - y**3 + 3*y**2 + 26. Factor o(h).
-3*h*(h - 1)*(h + 2)
Let j be ((-10)/25)/(1/(-5)). Factor j*b**2 + 11*b + 10*b - 19*b.
2*b*(b + 1)
Suppose 2*h = 5*f + 4, 5*h = 2*f + 27 + 4. Let v(w) = 12*w**2 - 8*w - 4. Let g(x) = 25*x**2 - 17*x - 8. Let j(a) = h*v(a) - 4*g(a). Factor j(o).
-4*(o - 1)*(4*o + 1)
Factor -4/3*g**2 + 2*g - 8/9 + 2/9*g**3.
2*(g - 4)*(g - 1)**2/9
Let q(z) be the second derivative of 11*z**4/12 - z**3/3 + 9*z. Suppose q(t) = 0. What is t?
0, 2/11
Let x = 3 + -3. Suppose x = -0*d - 2*d + 8. Suppose -8/3 - 1/3*q**3 - 2*q**2 - d*q = 0. Calculate q.
-2
Factor -1/5*l**2 - 1/5*l + 2/5.
-(l - 1)*(l + 2)/5
Let j(m) be the second derivative of m**6/6 - 3*m**5/2 + 5*m**4/3 + 5*m**3 - 25*m**2/2 - 5*m. Suppose j(g) = 0. Calculate g.
-1, 1, 5
Let j = -9 - -27. Let r = j - 16. Factor 0 + 0*q**3 - 4/3*q**4 + 0*q + 2*q**5 + 0*q**r.
2*q**4*(3*q - 2)/3
Let o be -12*1*(-1 - 1). Suppose 3*d - 2*d + 2*z - 26 = 0, 4*d + 5*z - 113 = 0. What is j in d*j**3 - 1/2 - o*j**2 + 6*j = 0?
1/4
Suppose -27 = -4*q - 11. Find k, given that 2*k**q - 7*k**5 - k**3 + 5*k**5 + k**5 = 0.
0, 1
Let s(f) = 6*f**3 - 6*f**2 - 5*f + 7. Let w(l) = -3*l**3 + 3*l**2 + 3*l - 3. Let n(p) = -3*s(p) - 7*w(p). Solve n(c) = 0.
-1, 0, 2
Let t(x) = -5*x + 8. Let z(g) = g. Let m(c) = t(c) + 6*z(c). Let w be m(-6). Factor -10/7*a**5 + 34/7*a**4 - 4/7*a - 6*a**3 + 0 + 22/7*a**w.
-2*a*(a - 1)**3*(5*a - 2)/7
Suppose -1 = 3*m - 4. Let b(z) = -z**3 - z**2 - z - 1. Let q(d) = -3*d**3 - d**2 - 7*d - 9. Let p(u) = m*q(u) - 5*b(u). Factor p(c).
2*(c - 1)*(c + 1)*(c + 2)
Let b = -1 + -6. Let c be b/(-12) - (-1)/(-4). What is q in 1/3*q**4 + 1/3 - 2/3*q**2 - 1/3*q - c*q**5 + 2/3*q**3 = 0?
-1, 1
Determine w, given that -5/3*w**2 - 8/3*w + 4/3 = 0.
-2, 2/5
Let n(y) be the first derivative of 0*y - 9/4*y**4 - 5 + 0*y**2 + y**3 - 12/5*y**5. Factor n(o).
-3*o**2*(o + 1)*(4*o - 1)
Let o = -29/3 - -10. Let d be (2 - (-8)/(-4))/1. Find g such that -2/3*g + d + o*g**2 = 0.
0, 2
Let q be ((-3)/(-6))/1*0. Suppose q = -3*s - s + 8. Let -s + 2*f - 7*f**2 - 2 + 4 = 0. Calculate f.
0, 2/7
Factor -1/2*j**2 + 3/2*j - 1/2 + j**4 - 3/2*j**3.
(j - 1)**2*(j + 1)*(2*j - 1)/2
Let g = 12 + -10. Suppose -10*v**3 + 4 - 14*v + 30*v**2 - 12*v**g + 23*v**4 - 21*v**4 = 0. What is v?
1, 2
Let f be 30/12*(-6)/(-5). Find v such that 0*v**f - 72 + 3*v + 73 + v**3 + 3*v**2 = 0.
-1
Let o = 4413/11 + -401. Solve 2/11*w**2 + 2/11*w**3 - 2/11*w - o = 0 for w.
-1, 1
Let l(d) be the second derivative of -8*d**5/75 + 4*d**4/9 + 23*d**3/45 + d**2/5 - 5*d. Find g such that l(g) = 0.
-1/4, 3
Let n(f) be the second derivative of f + 0 - 2/5*f**5 - 1/3*f**4 - f**2 + 4/3*f**3 + 1/5*f**6. Solve n(b) = 0 for b.
-1, 1/3, 1
Let q be 218/8 + (-1)/4. Factor 36*v**2 + 12*v**4 - q*v**3 - 13*v**3 - 3*v - 5*v.
4*v*(v - 2)*(v - 1)*(3*v - 1)
Let m(v) be the first derivative of 3*v**4/20 + v**3 + 21*v**2/10 + 9*v/5 - 2. Factor m(g).
3*(g + 1)**2*(g + 3)/5
Let x = 1000 + -996. Find k, given that 3/5*k**x + 2/5*k**3 - 3/5*k + 1/5*k**5 - 2/5*k**2 - 1/5 = 0.
-1, 1
Let b = -9 + 12. Suppose -3 + 20*f**b - 3 + 3*f**2 + 3*f**4 - 9*f + 0 - 11*f**3 = 0. What is f?
-2, -1, 1
Let w(g) be the first derivative of 2*g**6/3 - 2*g**4 + 2*g**2 - 16. Factor w(f).
4*f*(f - 1)**2*(f + 1)**2
Let a = 24 - 166/7. Factor -2/7 - a*q**2 - 4/7*q.
-2*(q + 1)**2/7
Let n(m) be the first derivative of m**3/9 + m**2/2 + 8. Factor n(j).
j*(j + 3)/3
Let y(x) be the first derivative of x**6/600 - x**5/100 + x**