 0.
-2, -1
Let q(j) = 4*j**2 - 4*j + 1. Let a(v) = -v**2 + v - 1. Let g(w) = -a(w) - q(w). Factor g(l).
-3*l*(l - 1)
Let y be 4/7*49/42. Suppose -y*r**3 + 2/3*r + 2/3*r**2 - 2/3 = 0. Calculate r.
-1, 1
Factor -1/12*n + 1/6 - 5/4*n**2.
-(3*n - 1)*(5*n + 2)/12
Let c be (4 + (-105)/27)/((-18)/(-108)). Suppose 0*h - 1/6*h**5 + 0 - 4/3*h**3 - 5/6*h**4 - c*h**2 = 0. Calculate h.
-2, -1, 0
Let k(g) be the third derivative of -g**7/105 - g**6/30 + g**5/30 + g**4/6 + 4*g**2. Factor k(f).
-2*f*(f - 1)*(f + 1)*(f + 2)
Let i(o) be the first derivative of 1/2*o**2 + 1/6*o**3 - 1/20*o**5 + 3 - 1/12*o**4 - o. Let x(g) be the first derivative of i(g). Factor x(m).
-(m - 1)*(m + 1)**2
Let q(x) be the third derivative of -x**8/105 + 6*x**7/175 - x**6/25 + x**5/75 + 8*x**2. Let q(m) = 0. What is m?
0, 1/4, 1
Suppose 0 = -5*s + 7 + 18. Suppose 0*j - 10 = -5*j + s*m, 4*j + 2*m = -4. Let -2/9*v - 2/3*v**3 + j + 8/9*v**2 = 0. What is v?
0, 1/3, 1
Let u(s) = 86*s**3 + 20*s**2 - 70*s - 12. Let p(k) = -57*k**3 - 13*k**2 + 47*k + 8. Let w(a) = -8*p(a) - 5*u(a). Suppose w(y) = 0. What is y?
-1, -2/13, 1
Let y(d) = d**4 - d. Let n(h) = -2*h**5 - 6*h**4 + 2*h**3 + 4*h**2 + 2*h. Let g(l) = -n(l) - 2*y(l). Factor g(p).
2*p**2*(p - 1)*(p + 1)*(p + 2)
Let f be (-1)/((14/(-20))/(-7)). Let l = 13 + f. Factor -2*p**l + 5*p**3 - p**2 - 3*p + p**2.
3*p*(p - 1)*(p + 1)
Let u = -271 + 543/2. Factor k + 3/2 - u*k**2.
-(k - 3)*(k + 1)/2
Factor 0*b + 0 - 2/5*b**5 + 0*b**4 + 0*b**2 + 2/5*b**3.
-2*b**3*(b - 1)*(b + 1)/5
Let g(h) be the first derivative of h**6/600 - h**5/150 + h**4/120 - 2*h**2 + 7. Let s(o) be the second derivative of g(o). Solve s(j) = 0 for j.
0, 1
Let g = -17 - -28. Suppose -w - 3*y - g = 0, -4*w - y + 15 = w. Suppose -6*d + d**3 + w*d**2 - 2*d**4 - 16*d**2 + 5*d**3 + 3 + 11*d**4 = 0. What is d?
-1, 1/3, 1
Let y be ((-3)/(9/(-21)))/1. Let k = 0 + y. Factor 0*p + k*p**2 + 2*p + 1 - 6*p**2.
(p + 1)**2
Let i be ((-832)/312)/(28/(-6)). Determine x, given that -2/7*x**3 + 0 - 10/7*x**2 + 4/7*x**4 - i*x = 0.
-1, -1/2, 0, 2
Suppose 3*s = 2*h + 6, -h + 5*s - 29 = -4*h. Factor 4*l**h - 4*l**3 - 3*l + 3*l**3.
3*l*(l - 1)*(l + 1)
Let b be ((-31)/217)/((-2)/7). Suppose b*c**4 + 0*c**3 + 1/2 - c**2 + 0*c = 0. What is c?
-1, 1
Let i be (-2)/7 - (-11)/14. Let r be (3 - -1) + 42/(-12). Solve i*y**2 + r - y = 0.
1
Let b(d) = d**3 + d**2 + d + 1. Let a(i) = -4*i**3 - 10*i**2 - i + 11. Let c(o) = -a(o) - b(o). Solve c(x) = 0 for x.
-2, 1
Let r(i) = -i**3 - 14*i**2 - 26*i - 22. Let y be r(-12). Factor -2/3*m**y + 0 + 1/3*m + 1/3*m**3.
m*(m - 1)**2/3
Let y(m) be the third derivative of -m**6/24 - m**5/3 - 5*m**4/6 - 2*m**2 + 22. Find w, given that y(w) = 0.
-2, 0
Let l be (-119)/(-204) - 2/6. Solve -1/4*s**2 + 0 - l*s = 0.
-1, 0
Let h(k) = -2*k**3 - 3*k**2 - 3*k - 2. Let x be h(-1). Let l(v) be the first derivative of -1/4*v**2 + 1 + 1/3*v**3 - 1/8*v**4 + x*v. Factor l(g).
-g*(g - 1)**2/2
Let p(x) be the second derivative of -x**7/112 - 3*x**6/80 - 3*x**5/80 + x**4/16 + 3*x**3/16 + 3*x**2/16 + 23*x. Factor p(w).
-3*(w - 1)*(w + 1)**4/8
Let i(f) = 2*f**4 + 2*f**3 + 2*f**2 - 2*f. Let z(o) = o**4 + 2*o**3 + 2*o**2 - 2*o. Let s(p) = -3*i(p) + 4*z(p). Factor s(l).
-2*l*(l - 1)**2*(l + 1)
Suppose -4*b = 3*c - 10, 3*c - 3*b = c + 1. Factor 9*z**4 - 3*z**5 - 10*z**2 + z**c - 2*z + 3*z**3 - 4*z + 6*z**5.
3*z*(z - 1)*(z + 1)**2*(z + 2)
Factor y**2 + 6*y - y**2 + 3*y**2.
3*y*(y + 2)
Let i(a) be the first derivative of -a**7/3780 + a**6/540 - a**5/180 + a**4/108 + a**3 + 1. Let c(r) be the third derivative of i(r). Let c(j) = 0. Calculate j.
1
Let b = -67/3 + 23. Let c(w) be the first derivative of 2 - w**2 - b*w**3 + 4*w. Factor c(h).
-2*(h - 1)*(h + 2)
Let -81/4*b - 81/4 - 3/4*b**3 - 27/4*b**2 = 0. What is b?
-3
Let j(p) = -9*p**5 + 17*p**4 + 15*p**3 - 15*p**2 - 17*p - 13. Let r(q) = 5*q**5 - 9*q**4 - 8*q**3 + 8*q**2 + 9*q + 7. Let k(z) = -6*j(z) - 11*r(z). Factor k(w).
-(w - 1)*(w + 1)**4
Let p be (-1)/(-6) + 2/(-12). Factor -1/4*l**4 + p*l + 0 - 1/4*l**3 + 0*l**2.
-l**3*(l + 1)/4
Let l = 1581 - 6249/4. Let k = 19 - l. Factor 5/4*s**2 - k*s**3 + 1 - 2*s.
-(s - 2)**2*(s - 1)/4
Let p = 3 - 1. Factor 6*o**3 - 3*o**p - 4*o**3 - o**2.
2*o**2*(o - 2)
What is t in 42*t + 1/4*t**3 - 36 - 25/4*t**2 = 0?
1, 12
Let c(p) be the second derivative of 3993*p**5/80 + 363*p**4/8 + 33*p**3/2 + 3*p**2 - 6*p. Factor c(r).
3*(11*r + 2)**3/4
Let z(l) be the third derivative of 8*l**7/945 + 4*l**6/135 - l**5/45 - 5*l**4/54 + 4*l**3/27 - 3*l**2. Solve z(n) = 0 for n.
-2, -1, 1/2
Let l(k) be the first derivative of -k**7/840 + k**6/135 - 7*k**5/360 + k**4/36 - 2*k**3/3 - 2. Let n(v) be the third derivative of l(v). Factor n(i).
-(i - 1)**2*(3*i - 2)/3
Let f(z) = z**3 + 2*z**2 + 2. Let d be f(-2). What is g in 0 - 1/4*g - 1/4*g**d = 0?
-1, 0
Let b(s) be the first derivative of s**3/18 - 3*s**2/4 - 5*s/3 + 16. Let b(d) = 0. What is d?
-1, 10
Let k be ((-1)/(-12))/((-6 - -4)/(-6)). Factor -3/2*f**3 + f**2 - 1/4*f**5 + 0 - k*f + f**4.
-f*(f - 1)**4/4
Let y(l) be the second derivative of l**5/15 + l**4/6 - l**2/3 + 10*l. Factor y(z).
2*(z + 1)**2*(2*z - 1)/3
Let c = 40 - 40. Let t(l) be the first derivative of c*l - 1/4*l**4 + 0*l**2 + 1/6*l**3 - 2. Factor t(a).
-a**2*(2*a - 1)/2
Let a(h) be the first derivative of h**5/10 + 3*h**4/8 - 2*h**3/3 - 1. Factor a(d).
d**2*(d - 1)*(d + 4)/2
Let o(r) be the first derivative of r**3/3 + r**2/2 + 6*r + 2. Let x(z) = 0*z - 16 - 2*z - 2*z**2 + 5. Let p(v) = -11*o(v) - 6*x(v). Factor p(w).
w*(w + 1)
Let q(b) be the third derivative of -b**8/560 + b**7/350 - 3*b**2. Factor q(j).
-3*j**4*(j - 1)/5
Let v = 5 + 0. Factor -v - 2*t - 10*t - 9*t**2 + 1.
-(3*t + 2)**2
Let h be ((-280)/15)/(-4) - 2. Let -2*s + 4/3 + 4/3*s**4 - h*s**2 + 2*s**3 = 0. What is s?
-2, -1, 1/2, 1
Let r(d) = d**2 - d. Let p(l) = -4*l + 2. Let k(j) = -p(j) + 3*r(j). Factor k(a).
(a + 1)*(3*a - 2)
Factor -15*j - 147/4*j**4 + 9/4*j**2 + 105/2*j**3 - 3.
-3*(j - 1)**2*(7*j + 2)**2/4
Let q(u) be the third derivative of -27*u**7/70 - 3*u**6/5 + 23*u**5/20 + 3*u**4 + 2*u**3 - 2*u**2. Suppose q(p) = 0. What is p?
-1, -2/3, -2/9, 1
Let z be -2 - -49*(-2)/(-48). Let u(x) be the second derivative of -2*x - 1/48*x**4 + 0*x**2 + z*x**3 + 0. Factor u(t).
-t*(t - 1)/4
Let i(m) be the first derivative of -m**5/5 + m**4/2 + 11*m**3/3 - 6*m**2 - 36*m - 20. Factor i(n).
-(n - 3)**2*(n + 2)**2
Let y(m) be the third derivative of -m**7/35 - 3*m**6/80 + m**5/8 + 3*m**4/16 - m**3/4 - 5*m**2. Suppose y(u) = 0. Calculate u.
-1, 1/4, 1
Suppose 5*r - 5*o - 10 = 0, 4*r + 3 = 2*o + 1. Let t = -3 - r. Factor t*v**3 + 18*v**3 - 5*v - 1 + 3 + 30*v**2 + 19*v.
2*(v + 1)*(3*v + 1)**2
Let v(r) be the first derivative of 0*r + 0*r**2 + 5 - 1/27*r**6 - 2/27*r**3 + 2/45*r**5 + 1/18*r**4. Factor v(c).
-2*c**2*(c - 1)**2*(c + 1)/9
Let p(b) = 2*b**2 - 6*b + 5. Let f be p(3). Let h(y) be the first derivative of -1/2*y**2 + 1 + 1/5*y**f - 2/9*y**3 + 1/18*y**6 + 1/6*y**4 - 1/3*y. Factor h(m).
(m - 1)*(m + 1)**4/3
Let j(a) be the first derivative of a**3/9 + 7*a**2/6 + 2*a - 21. Suppose j(r) = 0. What is r?
-6, -1
Suppose -34*s = -23*s. Factor 7/2*z**2 - z + 5/2*z**4 + s - 1/2*z**5 - 9/2*z**3.
-z*(z - 2)*(z - 1)**3/2
Let t(b) = 4*b**2 - 152*b + 432. Let o(p) = p**2 - 51*p + 144. Let g(z) = -8*o(z) + 3*t(z). Factor g(u).
4*(u - 6)**2
Suppose 4*p + 15 = 23. Factor -4*d**3 + d**3 + 2*d + 3*d**p - 3*d**4 + d + 0*d.
-3*d*(d - 1)*(d + 1)**2
Suppose 2 = 4*l + 3*r, -16 = -5*l - 3*r + 6*r. Solve 0 - 2/13*t**3 - 2/13*t**l + 4/13*t = 0 for t.
-2, 0, 1
Let r(y) be the third derivative of -y**7/315 + y**6/180 + y**5/30 - 5*y**4/36 + 2*y**3/9 + 11*y**2. Factor r(t).
-2*(t - 1)**3*(t + 2)/3
Let j be (-4)/(-8) - (-2)/4. Suppose 4*y = 13 - j. Factor -1/4 + 1/2*f**2 - 1/2*f**y + 1/4*f + 1/4*f**5 - 1/4*f**4.
(f - 1)**3*(f + 1)**2/4
Let z = -53 - -83. Factor -4*n**3 + 18 + 0*n**3 + 14*n**2 + z*n + 6*n**3.
2*(n + 1)*(n + 3)**2
Let l(k) be the third derivative of -k**5/40 - k**4/4 - 3*k**3/4 - 15*k**2. Find v, given that l(v) = 0.
-3, -1
Let m(f) = f + 5. Let q be m(-3). Factor d**3 + 10 - 10 - d**q.
d**2*(d - 1)
Let z(w) = 3*w**2 - w - 2. Let g(p) = -5*p**2 + 2*p + 4. Let u(a) = 4*g(a) + 7*z(a). Let m be u(0). Let -i**m + 0 - 1/4*i = 0. What is i?
-1/4, 0
Suppose 0 = -3*u + 6, -17 = 