. Let y be 6/(-21) - (-47)/(-7). Let m(g) = y*f(g) + 3*z(g). Factor m(v).
(v - 1)*(3*v - 1)**2
Let p be 10/(-1 - (-4 + 1)). Let u be ((-18)/30)/((-1)/p). Factor -n - 1/2*n**2 + 0 + 1/2*n**u.
n*(n - 2)*(n + 1)/2
Let s(t) be the second derivative of t**7/168 + t**6/60 - 3*t**5/80 - t**4/6 - t**3/6 + 21*t. Factor s(p).
p*(p - 2)*(p + 1)**2*(p + 2)/4
Let g(h) = h**3 + 2*h**2 - 6*h - 6. Let k be g(-3). Factor 2*f - 4*f**2 + 0 - 1/2*f**4 + 5/2*f**k.
-f*(f - 2)**2*(f - 1)/2
Suppose -4*z - 2 = 26. Let q be (1 + -2)/(28/z). Solve -q*n**3 - 1/4 - 3/4*n**2 - 3/4*n = 0 for n.
-1
Factor -2/7 - 3/7*p - 1/7*p**2.
-(p + 1)*(p + 2)/7
Determine c so that 0 + 2/9*c**2 + 2/9*c**3 + 0*c = 0.
-1, 0
Let r(v) = v**3 + 4*v**2 - 4*v + 8. Let y be r(-5). Factor -1/3*w**4 + 0*w**2 - 1/6*w**y - 1/6*w**5 + 0*w + 0.
-w**3*(w + 1)**2/6
Let l(z) = -39*z**2 + 36*z + 3. Let s(d) = 10*d**2 - 9*d - 1. Let w(r) = -6*l(r) - 22*s(r). Factor w(k).
2*(k - 1)*(7*k - 2)
Suppose 2*d - 29 = -3*o + 19, 0 = -3*o - d + 51. Suppose -2*m + 4*n + 6 = -4, -3*n - o = -5*m. Factor 4*b**3 - m*b**2 + b**5 - 2*b**5 + b**2 - b**3.
-b**2*(b - 1)**2*(b + 2)
Let f(u) = -14*u**2 - 135*u - 36. Let s(t) = -14*t**2 - 136*t - 36. Let j(v) = 6*f(v) - 5*s(v). Factor j(d).
-2*(d + 9)*(7*d + 2)
Suppose 5*y = -5*l - 0*l + 10, -4*l + 2*y - 4 = 0. Let x be 2 + (-3)/(-3) + l. Solve 4*h**2 - 7*h**2 - h**2 + 2*h**x - 2 + 6*h - 2*h**2 = 0.
1
Let s(z) be the second derivative of -z**4/8 - z**3/4 - 18*z - 1. Find g such that s(g) = 0.
-1, 0
Let i = -364360054/7085 + 668558/13. Let c = 3/109 + i. What is d in 12/5*d**4 + 6/5*d**2 + 0*d + 0 + 3*d**3 + c*d**5 = 0?
-2, -1, 0
Let p(q) be the second derivative of -q**4/72 - q**3/36 + 5*q. What is c in p(c) = 0?
-1, 0
Let -2*d**2 - 27*d**4 + 0*d + 3*d + 9*d**3 + 17*d**2 = 0. Calculate d.
-1/3, 0, 1
Let k(f) be the second derivative of f**5/10 + 13*f**4/12 + 4*f**3 + 9*f**2/2 - 20*f. Determine b, given that k(b) = 0.
-3, -1/2
Let b be 4*(-1 - 18/(-8)). Let w(u) be the second derivative of -3/50*u**b + 1/75*u**6 + 0 + 0*u**2 - 1/15*u**3 + u + 1/10*u**4. Factor w(s).
2*s*(s - 1)**3/5
Let p be ((-1)/2*0)/2. Let h(m) be the second derivative of 3*m - 1/10*m**6 + p*m**5 + 1/2*m**4 + 0*m**3 + 0 - 3/2*m**2. Determine o so that h(o) = 0.
-1, 1
Suppose 5*z + 5*o + 10 = 0, -3 = 4*z + 5*o - 2*o. Solve 2*h**2 - 4*h + 0 - z + 5 = 0 for h.
1
Let j = 1592/655 + -4/131. Factor 24/5 - 3/5*m**4 - 3*m**3 + j*m - 18/5*m**2.
-3*(m - 1)*(m + 2)**3/5
Suppose 14*r = 11*r. Suppose 0*g + 0 + 2/9*g**3 + 2/9*g**4 + r*g**2 = 0. Calculate g.
-1, 0
Let z = 4/27 - -5/27. Let d(l) be the second derivative of -2/3*l**4 + z*l**3 + 0*l**2 + 0 + 3/10*l**5 + 3*l. Solve d(r) = 0.
0, 1/3, 1
Let p(y) be the second derivative of 2*y + 0 - 1/12*y**2 - 2/9*y**4 + 2/9*y**3. Factor p(a).
-(4*a - 1)**2/6
Let c(u) = 5*u**3 - 3*u + 4. Let p(g) = 11*g**3 - 5*g + 8. Let o(l) = -7*c(l) + 3*p(l). Suppose o(b) = 0. What is b?
-2, 1
Suppose 6*k - 5*g = 2*k + 52, -g - 4 = 0. Factor 2*n + 24*n**3 + 5*n**2 - k*n**2 - 20*n**4 - 7*n**2 - 2*n**2 + 6*n**5.
2*n*(n - 1)**3*(3*n - 1)
Let i(c) be the third derivative of c**7/3780 - 5*c**3/6 + c**2. Let p(y) be the first derivative of i(y). Factor p(a).
2*a**3/9
Let m = 1124 + -1124. Find r such that m + 0*r + 0*r**2 - 1/2*r**4 - 1/2*r**3 = 0.
-1, 0
Let z(t) be the third derivative of -2*t**2 - 1/60*t**6 - 1/15*t**5 + 0*t + 0 + 0*t**3 - 1/12*t**4. Factor z(m).
-2*m*(m + 1)**2
Suppose 6*d - d - 20 = 0. Factor -1/5*q**2 + 0*q + 0 - 8/5*q**3 - 16/5*q**d.
-q**2*(4*q + 1)**2/5
Let u(o) be the first derivative of o**6/45 - o**4/18 - 5*o - 5. Let t(z) be the first derivative of u(z). Find d, given that t(d) = 0.
-1, 0, 1
Let d be 76/18 - 6/27. Let s(k) be the first derivative of 1 - 5/2*k**2 + k**3 + 2*k - 1/5*k**5 + 1/4*k**d. Factor s(q).
-(q - 1)**3*(q + 2)
Let 12*w**2 + 24/5*w + 9/5*w**5 + 0 - 3*w**4 - 42/5*w**3 = 0. Calculate w.
-2, -1/3, 0, 2
Find i, given that -16/5*i + 14/5*i**2 - 2/5*i**3 - 32/5 = 0.
-1, 4
Let j(f) be the first derivative of -4*f**5 - 17*f**4 - 8*f**3 - 11. Factor j(z).
-4*z**2*(z + 3)*(5*z + 2)
Let w = -5 + 9. Suppose w*h = 11 - 3. Factor -6*t + 2 + 6*t**2 + 0*t**h + 2*t**3 - 4*t**3.
-2*(t - 1)**3
Factor 11/5*i**2 + 13/5*i - 8/5*i**3 - 6/5.
-(i - 2)*(i + 1)*(8*i - 3)/5
Let f(u) = -u**2 + 7*u - 3. Let b be f(6). Suppose x + 3 = -3*d, -d + 2 = -5*x - b*d. Find q, given that 10/9*q**2 + 4/9*q + x - 14/9*q**3 = 0.
-2/7, 0, 1
Let 2/7*v**2 - 2/7*v - 2/7 + 2/7*v**3 = 0. What is v?
-1, 1
Let p(v) = -8*v**4 - 12*v**3 - 12*v**2 + 4*v + 4. Let g(f) = f**4 - f**3 - f**2 - f - 1. Let n(q) = -4*g(q) - p(q). Find s, given that n(s) = 0.
-2, 0
Let p(f) = -2*f**2 + 2*f. Let i(v) = 3*v**2 - 3*v. Let y(b) = b**3 + 10*b**2 - 10*b + 8. Let c be y(-11). Let h(s) = c*i(s) - 5*p(s). Factor h(t).
t*(t - 1)
Let h be ((-92)/115)/((-24)/10). Let n(i) be the first derivative of 1 - h*i**3 + 0*i - 1/2*i**2. Factor n(j).
-j*(j + 1)
Let z = 7 + -4. Let u be ((0 - 0)/z)/2. Factor -3*x**2 - x**3 - x**2 - x**3 + u*x**2.
-2*x**2*(x + 2)
Let i(o) be the third derivative of 2*o**7/315 + 19*o**6/1080 - 4*o**5/135 - 13*o**4/216 - o**3/27 + o**2. Solve i(t) = 0.
-2, -1/3, -1/4, 1
Let l be 48/112 - (-3)/(-14)*2. Factor l - 2/7*a**2 - 2/7*a**4 + 4/7*a**3 + 0*a.
-2*a**2*(a - 1)**2/7
Let r(q) be the third derivative of 1/490*q**7 + 0*q - 1/7*q**3 - 2*q**2 - 5/56*q**4 + 0 - 3/140*q**5 + 1/280*q**6. Factor r(j).
3*(j - 2)*(j + 1)**3/7
Let o(w) be the second derivative of 5/27*w**3 + 0 - 1/9*w**2 - 7/54*w**4 + 1/30*w**5 - w. Factor o(h).
2*(h - 1)**2*(3*h - 1)/9
Let k(i) = i**3 - 4*i**2 - 5*i - 4. Let x(l) = 4*l**3 - 12*l**2 - 15*l - 13. Let y(a) = -14*k(a) + 4*x(a). Factor y(j).
2*(j + 1)**2*(j + 2)
Let h be ((-1)/((-4)/8))/1. Factor 0 + 4*t + 1 - t**h - 5.
-(t - 2)**2
Let l(j) be the second derivative of -j**7/84 + j**6/10 - 7*j**5/20 + 2*j**4/3 - 3*j**3/4 + j**2/2 + 4*j. Factor l(v).
-(v - 2)*(v - 1)**4/2
Let i(t) = -3*t**3 - t**2 + 2*t. Let d be i(2). Let u = d + 49/2. Solve 1/2*j - 1/2*j**3 - u*j**2 + 1/2*j**4 + 0 = 0 for j.
-1, 0, 1
Let z = -287/6 + 48. Let f(i) be the first derivative of -2 + 1/6*i + 1/18*i**3 + z*i**2. Factor f(k).
(k + 1)**2/6
Let f(h) be the second derivative of -h**8/60480 + h**7/22680 + h**6/6480 - h**5/1080 + h**4/4 - 2*h. Let p(s) be the third derivative of f(s). Factor p(y).
-(y - 1)**2*(y + 1)/9
Let d = 7 + -7. Let v be (-1)/3*d*-1. Factor v*g + 4/3*g**4 + 0*g**2 + 2/3*g**3 + 2/3*g**5 + 0.
2*g**3*(g + 1)**2/3
Let g(f) be the first derivative of 0*f**2 - 4/15*f**3 + 2/5*f - 3 + 2/25*f**5 + 0*f**4. Factor g(b).
2*(b - 1)**2*(b + 1)**2/5
Factor -2/9 - 2/9*i**3 + 2/9*i + 2/9*i**2.
-2*(i - 1)**2*(i + 1)/9
Suppose t = -5*s - 2*t + 42, 0 = -2*s + 4*t - 4. Determine z so that 2*z**3 + 9*z**4 + 5 + 5 + 4*z**5 - 6 - s*z - 8*z**2 - 5 = 0.
-1, -1/4, 1
Suppose -12 = -4*t - 5*a, -t + 3*a + 5 = 19. Let n be (-3 - -3)*(-2)/t. Find v such that -1/2*v - 1/2*v**4 + n + 1/2*v**3 + 1/2*v**2 = 0.
-1, 0, 1
Suppose 0 = u + t - 6, 2*t + 0*t = 5*u - 23. Let s = 11 - u. Suppose 3*h**3 + s*h**2 - 3*h**4 - 3*h - 3*h**5 + 3*h**3 - 3 + 0 = 0. Calculate h.
-1, 1
Suppose 3 = -4*o - 5. Let m(n) = n**3 - n**2 - 1. Let q(s) = -16*s**3 + 26*s**2 - 6*s - 2. Let k(a) = o*m(a) - q(a). Find p, given that k(p) = 0.
-2/7, 1
Let z = 6108/385 - 172/11. Let b(k) be the first derivative of -1 - z*k**5 + 3/7*k**4 + 0*k + 1/21*k**6 - 8/21*k**3 + 1/7*k**2. Find p such that b(p) = 0.
0, 1
Let f(n) be the second derivative of -5*n**4/48 + 5*n**3/8 - 5*n**2/4 - 19*n. Solve f(v) = 0.
1, 2
Let y(i) = -i**2 + 2*i - 3. Let p be y(3). Let q = p + 9. Determine k so that 10/3*k**q + 0 + 0*k - 4/3*k**2 = 0.
0, 2/5
Let y(o) be the first derivative of 1/8*o**6 + 0*o + 0*o**2 - 3/16*o**4 - 1/4*o**3 + 3/20*o**5 - 1. Determine k, given that y(k) = 0.
-1, 0, 1
Solve 2/7*a**3 - 4/7 - 6/7*a + 0*a**2 = 0.
-1, 2
Factor k**2 - 1 + 3*k - k - k**2 - k**2.
-(k - 1)**2
Let d(c) = -27*c**4 - 83*c**3 - 67*c**2 - 13*c + 8. Let k(f) = 40*f**4 + 124*f**3 + 100*f**2 + 20*f - 12. Let y(p) = 8*d(p) + 5*k(p). Find r such that y(r) = 0.
-1, 1/4
Solve 1/5*j**3 + 0*j**2 + 1/5*j**5 + 2/5*j**4 + 0 + 0*j = 0 for j.
-1, 0
Determine p so that -6*p**2 + p**2 - 12*p + 2*p**2 - 1 - 8 = 0.
-3, -1
Let k be (-1)/(1 - 2)*1. Suppose k = 3*q - 5. Factor -t**4 - q*t**3 - 4*t**4 + 0*t**3.