2 + 10*r**3 - 14*r + 2*r + 2*r**4 + 7*r**4.
3*r*(r - 2)*(r - 1)*(3*r - 2)
Let r = 1 - -6. What is t in 0*t - t - r + 3 - t + 2*t**2 = 0?
-1, 2
Let a(c) = c**3 - 5*c**2 + 4*c - 1. Let j(u) = u**4 - u + 1. Let q(o) = -a(o) - j(o). Factor q(s).
-s*(s - 1)**2*(s + 3)
Find s, given that 54*s**2 + 10*s - 10*s**2 - 19*s + 17*s = 0.
-2/11, 0
What is o in -12 + 9 + 6*o**3 + 6*o**2 - 3*o + 0*o**2 - 3*o**5 + 0*o**5 - 3*o**4 = 0?
-1, 1
Let w(o) be the first derivative of o**3/21 - o/7 + 12. Determine p so that w(p) = 0.
-1, 1
Let z(a) be the second derivative of a**4/10 + 2*a**3/3 + 3*a**2/5 - 35*a. Determine n so that z(n) = 0.
-3, -1/3
Let f(a) be the third derivative of -a**8/8400 - a**7/2100 + a**5/300 + a**4/120 - a**3/6 - 6*a**2. Let k(x) be the first derivative of f(x). Factor k(u).
-(u - 1)*(u + 1)**3/5
Find r, given that 2*r**4 + 8/7 + 60/7*r**3 + 86/7*r**2 + 48/7*r = 0.
-2, -1, -2/7
Let x be 7/(-14)*(-1 + 1). Suppose m = o - 1, m + 7 = 3*o - x*o. Solve 6*v**3 - 3*v**3 - v**o = 0 for v.
0
Let b = 197 - 977/5. Let l = 32/45 - -22/45. Let 12/5*g - b - l*g**2 + 1/5*g**3 = 0. Calculate g.
2
Suppose 0 - 6/17*d**2 + 2/17*d**5 - 10/17*d**3 + 6/17*d**4 + 8/17*d = 0. Calculate d.
-4, -1, 0, 1
Let d(w) be the second derivative of 1/15*w**6 - 1/6*w**4 + 2*w + 0*w**3 + 0*w**2 + 0 - 1/21*w**7 + 1/10*w**5. Factor d(z).
-2*z**2*(z - 1)**2*(z + 1)
Let u(y) be the third derivative of y**9/4536 + y**8/2520 - y**7/1260 - y**6/540 + y**3/3 - 2*y**2. Let w(z) be the first derivative of u(z). Factor w(o).
2*o**2*(o - 1)*(o + 1)**2/3
Let v(y) be the first derivative of 2/25*y**5 + 1/15*y**6 + 2/5*y + 1/5*y**2 + 3 - 4/15*y**3 - 1/5*y**4. Factor v(c).
2*(c - 1)**2*(c + 1)**3/5
Let q(u) = u**2 + 4*u - 2. Let o be q(-4). Let d(y) = -y**2 + 3. Let a(t) = -2*t**2 + 7. Let p(f) = o*a(f) + 5*d(f). Factor p(h).
-(h - 1)*(h + 1)
Let k(u) = u**2 - 5*u - 4. Let i be k(-1). Factor 1/2*z**5 + 0*z + 1/2*z**i - 1/2*z**4 - 1/2*z**3 + 0.
z**2*(z - 1)**2*(z + 1)/2
Let y be (-5 - -4)/24*46. Let z = y + 209/84. Factor 0 - 2/7*o - z*o**2 - 2/7*o**3.
-2*o*(o + 1)**2/7
Let k be 2 + -3 - (16 - 19). Factor -2/9*a**k + 2/9*a**4 + 0 + 0*a + 0*a**3.
2*a**2*(a - 1)*(a + 1)/9
Solve -4/9*w**2 - 20/9*w**3 + 10/9*w + 2/9 + 2/9*w**4 + 10/9*w**5 = 0 for w.
-1, -1/5, 1
Let o(p) be the second derivative of p**8/16800 + p**7/6300 - p**6/1800 - p**5/300 + p**4/6 - p. Let z(v) be the third derivative of o(v). Factor z(i).
2*(i - 1)*(i + 1)**2/5
Let h(t) = -t**3 + 9*t**2 + 10*t + 7. Let d be h(10). Let w = d - 5. Factor 0*g + 0 - 2/5*g**5 + 2/5*g**3 + 2/5*g**4 - 2/5*g**w.
-2*g**2*(g - 1)**2*(g + 1)/5
Let d(x) be the first derivative of x**4/8 - x**3/2 + x**2/2 + 14. Factor d(p).
p*(p - 2)*(p - 1)/2
Suppose 4*w + 0*o + o - 12 = 0, -3*w + 14 = 2*o. Solve 6/7*s**w - 2/7*s**4 - 8/7 - 4/7*s**3 + 8/7*s = 0 for s.
-2, 1
Let k(y) be the third derivative of 0*y + 0 - 4/3*y**3 + 2*y**2 + 1/10*y**5 + 0*y**4 + 1/60*y**6. Determine q so that k(q) = 0.
-2, 1
Let d(h) be the second derivative of h**4/54 - 10*h**3/27 + 25*h**2/9 - 13*h. Solve d(o) = 0.
5
Let j(t) = 4*t**4 - 6*t**3 + 3*t**2 - 4*t. Let k(d) = d**4 - d**3 - d. Let n(o) = j(o) - 3*k(o). Factor n(w).
w*(w - 1)**3
Factor 40 + 4*h**2 + h**3 + 2*h + h**3 - 40.
2*h*(h + 1)**2
Suppose -a + 5 = 0, 4*a = -0*l - 3*l + 26. Determine r, given that r - 12*r - 4 + l*r**2 + 9*r = 0.
-1, 2
Let q(u) be the first derivative of -u**8/112 + u**7/70 + u**6/20 + u**2/2 - 2. Let t(b) be the second derivative of q(b). Suppose t(s) = 0. Calculate s.
-1, 0, 2
Let u be 1118/16 - 8/(-64). Let i be 4/(-10)*u/(-56). Factor -3/2*n**2 - i - 2*n.
-(n + 1)*(3*n + 1)/2
Let d(h) be the first derivative of 0*h**2 - 1/4*h + 1/12*h**3 - 1. Find u, given that d(u) = 0.
-1, 1
Factor -3*l + 6*l**3 - 6*l**2 + 11 + 4 + 3*l**4 - 3*l**5 - 12.
-3*(l - 1)**3*(l + 1)**2
Let r = -32 + 34. Find j such that 0 + 1/4*j - j**r = 0.
0, 1/4
Suppose -4*l = 2*q - 4, 23 = 6*l - l - 2*q. Suppose 4/11*g - 2/11*g**l - 2/11*g**2 + 0 = 0. What is g?
-2, 0, 1
Let l(g) be the third derivative of 5/24*g**4 - 1/120*g**6 - 1/210*g**7 + 1/20*g**5 + 0 + 0*g + 1/3*g**3 + 4*g**2. Find z, given that l(z) = 0.
-1, 2
Let y = 76 + -76. Let d(i) be the third derivative of 1/2*i**3 + 1/40*i**5 + 0*i - i**2 + y - 3/16*i**4. Factor d(p).
3*(p - 2)*(p - 1)/2
Factor 5*q**3 + 3*q**4 - 85*q**3 - 2000*q + 659 + q**4 + 600*q**2 + 1841.
4*(q - 5)**4
Let y(k) be the first derivative of 1/9*k**3 - 3/8*k**4 + 6 + 3/4*k**2 - 1/3*k. Find r such that y(r) = 0.
-1, 2/9, 1
Factor 12/5*f**4 + 0*f + 12/5*f**3 + 0 + 4/5*f**5 + 4/5*f**2.
4*f**2*(f + 1)**3/5
Let f(w) = w**3 - 3*w**2 - 7*w - 3. Let j(m) = m**3 + m**2 + m + 1. Let q(s) = -f(s) - 3*j(s). Factor q(o).
-4*o*(o - 1)*(o + 1)
Let j(w) be the third derivative of 3*w**6/100 - w**5/25 - w**4/3 - 8*w**3/15 - 4*w**2. Find f, given that j(f) = 0.
-2/3, 2
Determine k, given that -10*k**2 + 5*k**5 - 1290 - 15*k**3 + 1290 = 0.
-1, 0, 2
Let u be 4/14 - (-908)/3129. Let k = -2/447 + u. Factor 0*x - k*x**2 - 2/7*x**3 + 0 + 2/7*x**4.
2*x**2*(x - 2)*(x + 1)/7
Find c, given that 14/3*c - 2 - 10/3*c**2 + 2/3*c**3 = 0.
1, 3
Let s(p) = p**4 + p**3 + p - 1. Let v(f) = 20*f**4 + 35*f**3 + 15*f - 20. Let t(a) = 25*s(a) - v(a). Factor t(d).
5*(d - 1)**3*(d + 1)
Let p = 11 - 2. Let g = p + -26/3. Find f, given that 2/3 - 1/3*f**2 - g*f = 0.
-2, 1
Let c be ((-5)/5)/(1/15). Let l be (32/(-20))/(6/c). Suppose 1 + 3*x**2 - 3*x - 3*x**4 + x**5 - x**4 + 2*x**3 + x**l - x**2 = 0. Calculate x.
-1, 1
Let s(v) be the first derivative of 4/21*v**3 - 4/7*v - 1/7*v**2 + 6 + 1/14*v**4. Factor s(j).
2*(j - 1)*(j + 1)*(j + 2)/7
Suppose 2*n = 6*n - 12. Let 0*c + 0 - 4/7*c**2 + 2*c**n = 0. What is c?
0, 2/7
Let f = -2 - 4. Let i be 3/f*(-8)/10. Solve 0 + 1/5*n - i*n**4 + 0*n**3 + 2/5*n**2 - 1/5*n**5 = 0 for n.
-1, 0, 1
Suppose 0 = -2*a - 5*i - 5 - 10, 0 = -3*a - i - 3. Let b(o) be the first derivative of 0*o**2 + 1/4*o**4 - 2 + 1/3*o**3 + a*o. Factor b(t).
t**2*(t + 1)
Factor -22*w**2 - 2*w + 74*w**4 + 5*w**3 + 6*w + 6*w**2 - 67*w**4.
w*(w - 1)*(w + 2)*(7*w - 2)
Factor -4 + 4 + 75*i + 35*i**2 + 3*i**3 - 5*i**2.
3*i*(i + 5)**2
Let n = 25 + -22. Let s(i) be the third derivative of 0 - 1/6*i**5 - 1/12*i**4 + 0*i + 1/3*i**3 - 1/20*i**6 + n*i**2. Factor s(w).
-2*(w + 1)**2*(3*w - 1)
Let i be (2/4 - 0)/1. Let m(l) be the first derivative of -i*l + 1/12*l**3 - 1/8*l**2 - 1. Factor m(c).
(c - 2)*(c + 1)/4
Factor -6*i**4 - 7*i - 2*i**2 + 13*i + 0*i**2 - 15*i**3 - i**2.
-3*i*(i + 1)*(i + 2)*(2*i - 1)
Let d = 1 - 0. Let g be (d/15)/(1/3). Factor 1/5 - 1/5*b**2 - g*b + 1/5*b**3.
(b - 1)**2*(b + 1)/5
Let b = -84/5 + 254/15. Let k(w) be the first derivative of b*w**3 + 2/5*w + 2 + 2/5*w**2. Suppose k(p) = 0. Calculate p.
-1
Let a(l) = -l - 6. Let t be a(-9). Factor 2/3*m**2 + 0*m - 4/3*m**t + 2/3*m**4 + 0.
2*m**2*(m - 1)**2/3
Let f(p) be the first derivative of p**4/18 + 8*p**3/27 + 5*p**2/9 + 4*p/9 - 8. Let f(k) = 0. Calculate k.
-2, -1
Let c(o) = 10*o**2 - 12*o + 19. Let v(n) = 3*n**2 - 4*n + 6. Let h(z) = -4*c(z) + 14*v(z). Let h(u) = 0. What is u?
2
Let g(u) be the first derivative of -u**5/10 + u**3/3 + 3*u + 1. Let a(k) be the first derivative of g(k). Factor a(y).
-2*y*(y - 1)*(y + 1)
Let j(b) = -3*b**3 + 7*b**2 + 3*b + 3. Let k(h) = 12*h**2 + 5*h + 5 - 2*h**3 - 3*h**3 - h**2. Let w = -8 - -16. Let g(t) = w*j(t) - 5*k(t). Factor g(q).
(q - 1)*(q + 1)**2
Let f(w) = -w**3 - 17*w**2 + 62*w + 40. Let q be f(-20). Factor q + 4/3*v**2 + 4/3*v.
4*v*(v + 1)/3
Determine b, given that 0 + 3/8*b**5 + 0*b - 3/8*b**3 + 3/8*b**4 - 3/8*b**2 = 0.
-1, 0, 1
Let f = -164 + 164. Solve -1/4*g**4 - 3/4*g**3 + g + 0*g**2 + f = 0 for g.
-2, 0, 1
Suppose 56*w = -13*w. Find c such that w*c**2 - 1/8*c**4 + 0 - 3/8*c**3 + 1/2*c = 0.
-2, 0, 1
Let b(s) = 6*s - 5. Let j be b(-5). Let a = j - -107/3. Let 0 + 2/3*n**2 + a*n = 0. What is n?
-1, 0
Solve 13*n**2 + 5*n**3 + 12*n**2 + 2 - 21*n**2 + 9*n + 8*n**2 = 0 for n.
-1, -2/5
Let j be 838/(-840) + -3 + 4. Let q(r) be the third derivative of 0 + j*r**6 + 0*r + 0*r**4 + 4*r**2 + 0*r**3 + 1/210*r**5. Factor q(x).
2*x**2*(x + 1)/7
Let n(t) be the third derivative of -5*t**8/112 - 13*t**7/70 - 9*t**6/40 + t**5/20 + t**4/4 - 7*t**2. Factor n(s).
-3*s*(s + 1)**3*(5*s - 2)
Let h(a) = 18*a - 72. Let v be h(4). Factor 0 - 4/7*f**2 + v*f.