u = 0.
-1, 1
Suppose -2/15*x**2 + 0 + 8/15*x + 2/15*x**4 - 8/15*x**3 = 0. Calculate x.
-1, 0, 1, 4
Let w be (-8)/12*(14 + (-129)/9). Determine f so that 4/3*f - w*f**3 + 2/3*f**2 - 16/9 = 0.
-2, 1, 4
Let z(h) be the first derivative of 15 - 5/3*h**3 + 5*h**2 - 5/4*h**4 + 0*h. Factor z(a).
-5*a*(a - 1)*(a + 2)
Let q(x) be the third derivative of x**2 + 0 + 0*x - 1/5*x**5 + 0*x**3 - 1/3*x**4. Suppose q(h) = 0. What is h?
-2/3, 0
Factor 16*p + 24*p**2 - 48 + 30 + p**4 + 9*p**3 + 18.
p*(p + 1)*(p + 4)**2
Let h(u) = 2*u**3 - u**2 - u + 1. Let o be h(1). Let p be 1/((-1)/(o/(-3))). Factor -1/2*m - p - 1/6*m**2.
-(m + 1)*(m + 2)/6
Let g(r) be the second derivative of r**4/3 + 58*r**3/3 + 56*r**2 + 5*r - 19. Factor g(w).
4*(w + 1)*(w + 28)
Let m = -14273/3510 - -110/27. Let l(w) be the third derivative of 5*w**2 + 0 + 2/39*w**3 - m*w**5 + 1/156*w**4 + 0*w. Factor l(j).
-2*(j - 1)*(3*j + 2)/13
Let b(n) be the third derivative of 2*n**6/15 - 17*n**5/15 - 8*n**4/3 + 10*n**3/3 - 97*n**2. Determine g so that b(g) = 0.
-1, 1/4, 5
Let l be (-1 - 96/52) + 3. Let f(y) = -y**3 + 36*y**2 - 37*y + 74. Let q be f(35). Factor 0 + 0*d**3 - 2/13*d**2 + 0*d + l*d**q.
2*d**2*(d - 1)*(d + 1)/13
Let n(v) = -v**3 + 8*v**2 - v + 7. Let j be n(8). Let h be j/(((-5)/3)/5). Solve 0*m**h - 5*m**2 - 3*m**3 + 17*m**2 - 12*m = 0.
0, 2
Let x = 10 - 17. Let s(h) = -2*h**2 - 2*h - 7. Suppose 0 = -672*i + 668*i - 12. Let w(d) = d**2 + d + 3. Let c(b) = i*s(b) + x*w(b). Solve c(r) = 0 for r.
-1, 0
Let j(r) be the first derivative of -r**7/105 - 11*r**6/225 - r**5/10 - r**4/10 - 2*r**3/45 - 3*r - 4. Let m(q) be the first derivative of j(q). Factor m(c).
-2*c*(c + 1)**3*(3*c + 2)/15
Let v be (0 - 0)/(-76 - -75). Let w(z) be the first derivative of -4*z**2 + 2*z**4 - 3 - 4/5*z**5 + 4/3*z**3 + v*z. Factor w(o).
-4*o*(o - 2)*(o - 1)*(o + 1)
Let d(c) = -c**2 - c. Let k(x) = -5*x**2 + 5. Suppose 5*g + 1 = q, -3*q + 4*q + g = 1. Let l(u) = q*k(u) - 6*d(u). Factor l(b).
(b + 1)*(b + 5)
Let m = 8833/2 + -4409. Factor 5/2*h**2 + 5*h - m.
5*(h - 1)*(h + 3)/2
Let j be (-12)/(-21)*343/14. Factor -13 + 7 + 10*s + j*s**2 + s**2 + 1.
5*(s + 1)*(3*s - 1)
Factor 16/15*r**3 + 4/5*r + 0 + 2/15*r**4 + 26/15*r**2.
2*r*(r + 1)**2*(r + 6)/15
Let a(x) = -x**3 - x + 1. Let u(l) be the second derivative of -3*l**5/10 + l**4 - 5*l**3/3 + l**2 - l. Let m(j) = -2*a(j) + u(j). Solve m(r) = 0.
0, 1, 2
Suppose -29/7*g - 15/7 + 2/7*g**2 = 0. Calculate g.
-1/2, 15
Suppose 4*l - 98 = -4*p - 90, -2*p + 4 = -2*l. Factor -7/5 - 9/5*a**p - 1/5*a**3 - 3*a.
-(a + 1)**2*(a + 7)/5
Let m = 1871/95 - 131/19. Find f, given that 32/5*f + m + 4/5*f**2 = 0.
-4
Let g(k) be the third derivative of k**6/120 - 4*k**5/15 - 55*k**4/24 - 19*k**3/3 + 8*k**2 + 34*k. Factor g(x).
(x - 19)*(x + 1)*(x + 2)
Let v(a) be the first derivative of 5/3*a**3 - 3/2*a**2 - 4 + 7*a. Let u(q) = 24*q**2 - 16*q + 34. Let y(h) = 6*u(h) - 28*v(h). Factor y(l).
4*(l - 2)*(l - 1)
Let v(t) be the first derivative of t**8/9240 + t**7/2310 + t**6/1980 + 10*t**3/3 + 16. Let d(m) be the third derivative of v(m). Factor d(n).
2*n**2*(n + 1)**2/11
Solve -2*b**2 + 47*b + 14*b**2 - 2 + 0 - 2 = 0.
-4, 1/12
Let g(n) be the first derivative of -8*n**5 - 35*n**4 + 90*n**3 - 145*n**2/2 + 25*n - 279. Determine t so that g(t) = 0.
-5, 1/2
Let f(d) be the third derivative of -d**5/48 - 5*d**4/4 + 377*d**2. Factor f(k).
-5*k*(k + 24)/4
Let v be (-3 + 4 - 1)/(-1)*1. Suppose 17*d - 7*d - 50 = v. Factor 0 + 2/3*s - 1/3*s**2 + 1/3*s**4 + 1/3*s**d - s**3.
s*(s - 1)**2*(s + 1)*(s + 2)/3
Suppose -m - 126 = -4*m. Let p be m/180 - 3/36*-2. Factor 0*a**2 + 0 - p*a**3 + 2/5*a.
-2*a*(a - 1)*(a + 1)/5
Let v(n) be the first derivative of n**6/18 + 2*n**5/15 - 7*n**4/6 + 8*n**3/9 + 13*n**2/6 - 10*n/3 - 40. Suppose v(m) = 0. What is m?
-5, -1, 1, 2
Let k(g) be the second derivative of -g**7/42 - g**6/24 + g**5/12 + 5*g**4/24 + 7*g**2/2 + 5*g. Let p(v) be the first derivative of k(v). Factor p(z).
-5*z*(z - 1)*(z + 1)**2
Let i be (4 - 3)/(2*(-2)/(-24)). Let m be (2/i)/((-8)/(-6)). Factor 0 - 1/4*c**3 + 1/2*c**2 - m*c.
-c*(c - 1)**2/4
Let l be 1/3 + 17/3. Suppose 2*j + 20 = l*j - 4*x, 5*x + 4 = -2*j. Find f, given that f**2 + 3*f**4 + 0*f**j - 6*f**3 + 2*f**2 + 0*f**4 = 0.
0, 1
Factor 12/7*z**3 + 0 - 80/7*z - 236/7*z**2.
4*z*(z - 20)*(3*z + 1)/7
Suppose 23*j**4 - 60*j**4 + 150*j**3 - 960*j**2 + 13*j**4 + 19*j**4 - 2560*j = 0. Calculate j.
-2, 0, 16
Let u(f) be the second derivative of 7*f**4/36 - 25*f**3/9 + 7*f**2/6 - 3*f - 32. Factor u(g).
(g - 7)*(7*g - 1)/3
Let k(q) = -12*q - 48. Let v be k(-11). Let u = v + -165/2. What is o in -9/4 - 1/4*o**2 - u*o = 0?
-3
Let v be -3 + (-6 - (-301)/21). Let m(q) be the first derivative of -2*q**2 + 2 + 0*q - v*q**3 - 7/4*q**4. Factor m(h).
-h*(h + 2)*(7*h + 2)
Factor -16/3*c**3 - 8*c**2 - 3*c - 1/3.
-(c + 1)*(4*c + 1)**2/3
Factor 11*f - 25 - 24*f**2 + 40*f**2 + 1 - 17*f**2.
-(f - 8)*(f - 3)
Let s = -13 + 23. Find k such that -4 + 8 - s*k - 2 + 34*k**3 + 24*k**4 - 2*k**2 = 0.
-1, 1/4, 1/3
Let b(k) = -k**3 - 15*k**2 - 13*k + 19. Let u be b(-14). Suppose j - u = -4*p - 0*p, 25 = -2*p + 5*j. Factor 1/3*a**2 + p + 5/6*a**3 + 0*a.
a**2*(5*a + 2)/6
Let k = 21 + -22. Let b be k/5*20/(-8). Factor b*u**2 + 0*u + 0 + 1/2*u**3.
u**2*(u + 1)/2
Let z = 255 + -252. Let u(b) be the first derivative of 1/24*b**z + 1/8*b**4 - 3/16*b**2 + 0*b + 8. Suppose u(g) = 0. Calculate g.
-1, 0, 3/4
Let k = 3257/6522 - -2/3261. Let j be (-1)/(-3) - (-15)/9. Suppose p + k*p**j + 0 = 0. Calculate p.
-2, 0
Let z(t) = 2*t**2 + 64*t - 64. Let w be z(-33). Factor 1/10*j**w + 1/10 - 1/5*j.
(j - 1)**2/10
Let h(j) = 7*j**3 - 12*j**2 - 49*j + 75. Let a(c) = 3*c**3 - 5*c**2 - 24*c + 38. Let x(t) = -5*a(t) + 2*h(t). What is u in x(u) = 0?
-5, 2, 4
Let o = 298 + -3575/12. Let g(w) be the second derivative of 0 + 1/3*w**3 - 3/2*w**2 + 7*w + o*w**4. Determine u, given that g(u) = 0.
-3, 1
Let r(w) be the first derivative of -3*w**5/25 + 18*w**3/5 - 243*w/5 + 492. Factor r(i).
-3*(i - 3)**2*(i + 3)**2/5
Let k(z) = -4*z**2 - 52*z - 16. Let y(t) = -4 + 3 - 4 - 17*t - t**2. Let m(s) = -5*k(s) + 16*y(s). Factor m(u).
4*u*(u - 3)
Let l be -4 - -7 - (-44)/(-32)*2. Let s = -6/5 - -17/10. Factor -s*d + 0 + 1/4*d**4 - l*d**2 + 1/2*d**3.
d*(d - 1)*(d + 1)*(d + 2)/4
Factor -61*z**3 + 0*z**4 - 35*z**3 + 4*z**4.
4*z**3*(z - 24)
Let q(a) = 11*a**3 + a**2 - 2*a - 2. Let g be q(-1). Let b = g - -13. Find f such that 16*f**3 - 8*f - f + b*f**2 + f + 17*f**2 - 12*f**4 = 0.
-1, 0, 1/3, 2
Let y be 124/280 + (-8)/(-140). Solve -y*j**3 - 1 + j**2 + 1/2*j = 0 for j.
-1, 1, 2
Find a such that -45/2*a + 1/2*a**2 + 22 = 0.
1, 44
Factor -j**2 + 48*j**3 - 25*j**3 + 6*j - 24*j**3.
-j*(j - 2)*(j + 3)
Let c(s) be the second derivative of s**5/120 + 41*s**4/36 + 133*s**3/3 - 294*s**2 + s - 124. Factor c(a).
(a - 2)*(a + 42)**2/6
Suppose 92*w + 12*w = 0. Let z(r) be the third derivative of 1/110*r**5 + 0*r**4 + 0*r + w - 4/33*r**3 + 14*r**2 - 1/660*r**6. Find i, given that z(i) = 0.
-1, 2
Let z(p) = 59*p**3 - 11*p**2 + 72*p. Let k(v) = -4*v**3 - v**2 + v. Let c(n) = 60*k(n) + 4*z(n). Let c(o) = 0. Calculate o.
-29, 0, 3
Let f be ((-968)/(-176))/((1/2)/(-1)). Let k be (-15)/(-4) - f/(-44) - 3. What is q in 1/2*q**4 + 0 - k*q + 3/2*q**2 - 3/2*q**3 = 0?
0, 1
Let l(i) be the second derivative of -i**4/48 - 5*i**3/24 + 27*i - 1. Factor l(g).
-g*(g + 5)/4
Suppose -10 + 6 = -2*f. Find y, given that 2*y + 15*y**2 - 10*y**2 - 3*y**f - 4*y = 0.
0, 1
Let s(k) = -k**3 + 32*k**2 - 12. Let h be s(32). Let a be (-1*(-116)/h)/((-6)/9). Solve -a*r**3 + 10*r**2 + 5*r**4 + 0 - 2*r = 0.
0, 2/5, 1/2, 2
Factor -4*m**2 - 576 - 610 + 1070 - 120*m.
-4*(m + 1)*(m + 29)
Let g(t) = -18*t + 652. Let f be g(36). Let n(a) be the second derivative of 0*a**2 - 11*a - 2/15*a**3 - 1/10*a**f + 0. Factor n(s).
-2*s*(3*s + 2)/5
Suppose -91*d - 5 = -187. Factor 2*x**d + 4/3 + 3*x + 1/3*x**3.
(x + 1)**2*(x + 4)/3
Factor -73*h**4 - 33*h**4 + 115*h**3 - 60*h**2 + 41*h**5 - 46*h**5 + 56*h**4.
-5*h**2*(h - 1)**2*(h + 12)
Factor 16/7*q**2 + 30/7 - 46/7*q.
2*(q - 1)*(8*q - 15)/7
Let j(b) be the third derivative of 18*b**2 + 0*b**7 + 0*b + 0*b**3 + 0 + 0*b**5 + 1/112*b**8 - 1/20*b**6 + 1/8*b**4. Factor j(h).
3*h*(h - 1)**2*(h + 1)**2
Let h(u) be the first derivative of u**6/12 