- 2 + 6 = 0.
-1, 1/3, 1
Let q(c) be the third derivative of c**5/15 + c**4 + 6*c**3 + 26*c**2. Factor q(n).
4*(n + 3)**2
Suppose j = -0*j. Let j + 1/5*g**2 + 0*g + 1/5*g**3 = 0. Calculate g.
-1, 0
Let u(k) = -k**3 - 3*k**2 - 2*k - 3. Let x be u(-3). Suppose -4*c + 8 = -x*c + 3*w, 2*c = 4*w - 4. Find z, given that c + 5/2*z**2 + 1/2*z**3 + 4*z = 0.
-2, -1
Let z(m) be the third derivative of m**8/392 - 8*m**7/735 + m**6/70 - m**4/84 - 17*m**2. Factor z(j).
2*j*(j - 1)**3*(3*j + 1)/7
Let q be 2 - -10*(0 - -3). Let s be 1 + (q/(-20) - -1). Factor 2/5*l**2 + 0 - s*l.
2*l*(l - 1)/5
Let r(m) = m**2 - 3*m - 1. Let a be r(-2). Factor -6*i**3 + i**2 - a*i**4 - 4*i**2 - 3*i**5 - 3*i**3.
-3*i**2*(i + 1)**3
Suppose 3*a - 2 = 10. Let q be (3/(-18))/((-3)/9). Find p, given that -p**a + 1/2*p + p**2 + 0 - q*p**5 + 0*p**3 = 0.
-1, 0, 1
Let -6*j - 2 - j**3 - 3*j + 4*j - j**2 - 3*j**2 = 0. Calculate j.
-2, -1
Let c be (-3)/2*30/(-9). Suppose 0 = -c*d + 7 + 3. Suppose d*x**5 - 3*x**5 - x**4 - x**3 + 3*x**4 = 0. What is x?
0, 1
Let m(i) = i**2 + 3*i - 4. Let x(t) = 2*t**2 + 5*t - 7. Suppose p - 3*r = 20, -4*p = 3*r - 4 - 16. Let f be 9/6*p/3. Let g(b) = f*x(b) - 7*m(b). Factor g(k).
k*(k - 1)
Find f such that 0 + 5/3*f - 3*f**2 + f**3 + 1/3*f**4 = 0.
-5, 0, 1
Suppose 4*h - 8 = -4*r, h - 6 = 3*r - 2*h. Let c(p) be the first derivative of 0*p - 1/3*p**3 + r*p**2 + 1. Factor c(a).
-a**2
Let v be 4/6 + (-24)/(-18). What is n in 5*n**2 - 5*n**v - 2*n**2 = 0?
0
Let -2*j**2 - 4*j - 5 + 5 - 2*j**2 = 0. What is j?
-1, 0
Let x = -6/55 + 346/1155. Let p = x - -10/21. Solve 2/3*f**2 + 2/3*f**5 - 2/3*f**3 + 0 - p*f**4 + 0*f = 0 for f.
-1, 0, 1
Factor 1/6*f**2 + 1/6*f**3 - 5/6*f + 1/2.
(f - 1)**2*(f + 3)/6
Suppose 1/5*v**2 + 0 + 0*v - 2/5*v**3 + 1/5*v**4 = 0. What is v?
0, 1
Let p = 22 - 10. Let q be 9/p - 15/(-12). Suppose 1/3*l + 0*l**4 + 0 + 0*l**q - 2/3*l**3 + 1/3*l**5 = 0. What is l?
-1, 0, 1
Suppose 0*i + 2*v = -i - 2, -6 = -i + 2*v. Suppose 7*g + 2*g**i - 3*g + 2 + 0*g**2 = 0. Calculate g.
-1
Let -22 - 25 + 59 - 3*y**2 = 0. What is y?
-2, 2
Let b be -6*(34/(-4) - -8). Let u = 2207/9 + -245. Factor -u*w**2 + 4/9*w + 0 - 4/9*w**b + 2/9*w**4.
2*w*(w - 2)*(w - 1)*(w + 1)/9
Let n(i) be the third derivative of -i**8/336 + i**7/210 + i**6/120 - i**5/60 - 5*i**2. What is f in n(f) = 0?
-1, 0, 1
Let b be (-12)/14 - 4/28. Let w = 4 + b. Factor -6*u**4 - 3*u**5 - 42 + w*u + 6*u**2 + 42.
-3*u*(u - 1)*(u + 1)**3
Let w(n) be the second derivative of -n**4/14 + 13*n**3/63 - 4*n**2/21 + 27*n. Determine v, given that w(v) = 0.
4/9, 1
Let d = 0 - -6. Let s(t) be the second derivative of t - 1/15*t**d + 0*t**2 + 0 - 1/6*t**3 + 1/6*t**4 + 0*t**5 + 1/42*t**7. Factor s(b).
b*(b - 1)**3*(b + 1)
Let g(j) = -4*j**3 - 2*j**2 - j. Let u be g(-1). Factor x**u + 3*x**2 - x**2 - 3*x**3.
-2*x**2*(x - 1)
Suppose -72 = 4*o + 4*g, -2*g + 23 = -2*o - 1. Let d be 48/o*5/(-10). Let -d*p**3 - 2/5 - 8/5*p - 12/5*p**2 - 2/5*p**4 = 0. What is p?
-1
Let q be ((-48)/(-200))/((-6)/(-40)). Suppose -q*g - 2/5*g**2 - 8/5 = 0. Calculate g.
-2
Let y(p) be the third derivative of -5*p**8/336 - 5*p**7/42 - p**6/12 + 7*p**5/6 + 5*p**4/8 - 15*p**3/2 - p**2 - 11. Let y(g) = 0. Calculate g.
-3, -1, 1
Let r(p) be the third derivative of 1/210*p**7 - 3*p**2 + 5/672*p**8 + 0*p**6 + 0*p**4 + 0*p**5 + 0 + 0*p**3 + 0*p. Factor r(z).
z**4*(5*z + 2)/2
Let v = 126/25 + -2546/525. Let g(p) be the first derivative of 0*p + v*p**3 + 1 + 0*p**2 + 1/14*p**4. Factor g(k).
2*k**2*(k + 2)/7
Let t(j) be the third derivative of 0*j + 0*j**6 + 0 + 0*j**3 + 1/300*j**5 + 0*j**4 - 1/1050*j**7 + 3*j**2. Suppose t(u) = 0. What is u?
-1, 0, 1
Let d(l) = -5*l**2 + 2*l + 7. Let p be (-5)/1 - (0 + -2). Let w(u) = -2*u**2 + u + 3. Suppose 1 = -4*s + 29. Let t(y) = p*d(y) + s*w(y). Factor t(f).
f*(f + 1)
Suppose 0 = -2*k - 2*k + 8. Let s be k/6 - 5/(-3). Factor 4*f**4 + 2*f**3 + s*f**3 - 4*f + 10*f**4 - 14*f**2.
2*f*(f - 1)*(f + 1)*(7*f + 2)
Let b(a) = a**3 - 4*a**2 - 2*a - 11. Let w be b(5). Find i such that 8*i**2 - 2*i - 8*i**w + 106*i**5 - 102*i**5 + 2*i - 4*i = 0.
-1, 0, 1
Let y(s) = 13*s**5 + 28*s**4 + s**3 - 29*s**2 - 17*s - 5. Let d(l) = 13*l**5 + 28*l**4 + 2*l**3 - 28*l**2 - 17*l - 4. Let b(k) = -3*d(k) + 2*y(k). Factor b(u).
-(u - 1)*(u + 1)**3*(13*u + 2)
Let y(u) be the second derivative of 0*u**4 + u**2 + 0 + 2/3*u**3 - 1/5*u**5 + u - 1/15*u**6. Factor y(s).
-2*(s - 1)*(s + 1)**3
Suppose 0 = i + v - 10, 3*i - 2*v = 17 + 3. Find y, given that 29*y**3 + 38 + 20*y**4 - 28*y**5 - 5*y - 40 - i*y**2 - 6*y = 0.
-1/2, -2/7, 1
Let k(s) = -s. Let g(w) = -w**2 + 2*w + 2. Let y(t) = g(t) + 3*k(t). Factor y(c).
-(c - 1)*(c + 2)
Let k(i) = i - 5. Let j be k(5). Let h(g) be the first derivative of 0*g + 1/3*g**3 + 0*g**4 + 2 - 1/5*g**5 + j*g**2. Find y such that h(y) = 0.
-1, 0, 1
Let p(i) be the first derivative of -i**5/90 - i**4/27 - i**3/27 - 7*i - 5. Let b(n) be the first derivative of p(n). Factor b(o).
-2*o*(o + 1)**2/9
Suppose -2*h + 5*h + 2 = -q, 0 = 2*h + 5*q - 3. Let b = 1 - h. Factor -2*k + b*k**4 + k**4 + 2*k**3 + 0*k**2 - 5*k**4 + 2*k**2.
-2*k*(k - 1)**2*(k + 1)
Let q be 20/(-30)*30/(-4). Solve -12*j**2 - 1 - 13*j**3 - 7*j**4 - 3/2*j**q - 11/2*j = 0.
-1, -2/3
Factor -8/3*i + 4/3*i**2 + 0.
4*i*(i - 2)/3
Let y(z) be the first derivative of -2*z**2 + 2*z**3 - z**4 + z + 1/5*z**5 + 1. Solve y(k) = 0 for k.
1
Let t = -60 - -60. Factor 4/7*u**2 + 0*u - 2/7*u**4 + t*u**3 - 2/7.
-2*(u - 1)**2*(u + 1)**2/7
Let s(d) be the third derivative of 0*d + 0*d**4 + 0*d**3 - 1/660*d**6 + 0 - d**2 - 1/330*d**5. Find k, given that s(k) = 0.
-1, 0
Let r = -3 + 3. Let n(g) be the third derivative of g**2 + 1/30*g**5 + 0*g**4 + 0*g**3 + r + 1/60*g**6 + 0*g. Suppose n(v) = 0. Calculate v.
-1, 0
Factor 5/6*s**4 + 0 + 0*s**2 - 1/6*s**5 - s**3 + 0*s.
-s**3*(s - 3)*(s - 2)/6
Let 2/9 + 4/9*p + 2/9*p**2 = 0. What is p?
-1
Solve 2/3*p + 3/2*p**2 - 2/3 + 1/2*p**5 - 1/6*p**4 - 11/6*p**3 = 0.
-2, -2/3, 1
Let k(n) be the first derivative of -1/10*n**4 + 0*n + 1 + 0*n**2 + 0*n**5 + 1/15*n**6 + 0*n**3. Solve k(g) = 0.
-1, 0, 1
Let q(t) be the first derivative of t**3 - 9*t**2/2 + 6*t - 3. Factor q(m).
3*(m - 2)*(m - 1)
Let v(c) be the second derivative of c**4/18 - c**3/9 - 2*c**2/3 + 14*c. Suppose v(w) = 0. Calculate w.
-1, 2
Let w be -6 - (-3 - (-60)/(-18)). Let j(x) be the third derivative of -1/15*x**6 - 3*x**2 - 1/105*x**7 + 0 - 1/5*x**5 - w*x**4 - 1/3*x**3 + 0*x. Factor j(z).
-2*(z + 1)**4
Suppose 0 = -2*i - c + 2, c + c = -i - 2. Let a(y) = y**2 + 6*y + 3. Let o be a(-6). Find w such that -2*w**2 + 3*w**3 - 2*w**o + 3*w**i = 0.
-1, 0
Factor a**2 - a**4 - a**3 + 2*a**3 + 168*a**5 - 169*a**5 + 0*a**2.
-a**2*(a - 1)*(a + 1)**2
Suppose -f + 24 = 7*f. Let a(x) be the first derivative of -x**4 + 3 + 1/2*x**2 + x**f + 0*x. Factor a(b).
-b*(b - 1)*(4*b + 1)
Let f be (-3 - (-21)/6)*(1 + 3). Let -8/9*s - 2/9*s**f - 2/3 = 0. What is s?
-3, -1
Let w(d) be the third derivative of d**5/60 - d**4/24 - d**3/6 - d**2. Let f be w(3). Solve -2*r**4 - r + 3*r**3 - r**f - 2*r**3 + 4*r**2 - 2 + r**3 = 0 for r.
-2, -1, 1
Let u(x) be the first derivative of -2*x**3/5 - 2*x**2/5 + 2*x/5 - 11. Factor u(y).
-2*(y + 1)*(3*y - 1)/5
Suppose -2*j + 16 - 12 = 0. Determine d so that -1/3*d**j + 2/3*d - 1/3 = 0.
1
Suppose 0 = -40*t + 41*t - 5. Let l(z) be the second derivative of -1/6*z**3 + 4*z + 1/40*z**t + 0*z**2 + 1/24*z**4 + 0. Let l(d) = 0. What is d?
-2, 0, 1
Let x = 4 - 3. Let y be 1 + -3*x/(-3). Factor 1/4*b - 1/4*b**y + 1/2.
-(b - 2)*(b + 1)/4
Let v(w) = -w**2 + 5*w + 1. Let q be v(5). Suppose -4*o = -q - 3. Solve o - 2*h**5 - 2*h**2 - 6*h**4 - 6*h**3 - 1 = 0 for h.
-1, 0
Let v = 6 - -8. Suppose 2*x + v = 5*k, 0 = 2*k - x - 3 - 3. Factor 2/9*g**3 - 8/9*g**k - 4/9 + 10/9*g.
2*(g - 2)*(g - 1)**2/9
Let q(s) be the second derivative of 4*s**6/135 + s**5/90 - 3*s. Let q(m) = 0. What is m?
-1/4, 0
Let v(m) be the third derivative of 1/20*m**5 - 1/8*m**4 + 0*m**3 - 3*m**2 + 0 + 0*m. Factor v(q).
3*q*(q - 1)
Let g(u) be the first derivative of 0*u - 3/2*u**2 - 9/10*u**5 + 3/2*u**3 - 7/2*u**6 - 2 + 6*u**4. Solve g(o) = 0 for o.
-1, -1/2, 0, 2/7, 1
Let b(w) = -10*w**5 - 16*w**4 - 16*w**3 + 8*w**2 + 20*w + 14. Let c(m) = -m**5 + 1. Let o(v) = b(v) - 6*c(v). Factor o(d).
-4*(d - 1)*(d + 1)**3*(d + 2)
Let 