+ 8*p + 2 + 6*p + u*p**2.
2*(p - 1)**2
Let r be 35486/(-143) - 4/(-26). Let t = 1740/7 + r. Solve 8/7*m**3 - 2*m**2 + 0 + 8/7*m**4 + t*m = 0 for m.
-2, 0, 1/2
Suppose 0 = 5*h - 6*h + 8. Suppose -s**2 + 2*s**3 - h*s - 4*s**3 + 9*s**2 = 0. Calculate s.
0, 2
Let p = -11 - -11. What is o in 7/2*o**3 - 5/2*o**4 - o**2 + p + 0*o = 0?
0, 2/5, 1
Let v(a) = -a**3 - 10*a**2 + 11*a + 6. Let k(j) = -15*j**3 - 140*j**2 + 155*j + 85. Let t(s) = -6*k(s) + 85*v(s). Suppose t(h) = 0. Calculate h.
0, 1
What is t in -2/5*t**3 + 0 + 2/5*t**2 + 4/5*t = 0?
-1, 0, 2
Let x = 19 + -17. Factor c + 5*c**3 - x*c**3 - 5*c + c**3.
4*c*(c - 1)*(c + 1)
Let v(r) = -2*r**3 + 4*r**2 + 2*r - 8. Let s(f) = f**2 - f - 1. Let c(o) = -4*s(o) + v(o). Factor c(w).
-2*(w - 1)**2*(w + 2)
Let i = 0 - -5. Let 0*m**3 - i*m**4 - 6*m**4 - 10*m**3 - 3*m**4 + 4*m**2 = 0. Calculate m.
-1, 0, 2/7
Let o(z) be the second derivative of z**4/6 - z**3/3 - 6*z. Find n, given that o(n) = 0.
0, 1
What is b in -b**4 - 1 + 2*b**3 + 2*b + 2 - 4*b**3 = 0?
-1, 1
Let m = -15 + 17. What is n in 4 - 85*n + 89*n + 2*n**2 - n**2 - 4*n**3 - 5*n**m = 0?
-1, 1
Let z = 3 + 0. Find d, given that 2*d**2 + 3*d**4 - 5*d**4 - 4*d**z + 4*d**4 = 0.
0, 1
Let w(a) be the second derivative of a**5/15 + 5*a**4/36 - 7*a**3/18 - a**2/3 - 10*a. Factor w(h).
(h - 1)*(h + 2)*(4*h + 1)/3
Let w(r) = r**3 - 4*r**2 + 4*r - 1. Let o be w(3). Let l(g) be the first derivative of -2/3*g - 1 - 2/3*g**3 - 4/3*g**o. What is m in l(m) = 0?
-1, -1/3
Let p(s) = -1 + 27*s**2 + 12*s**3 + 9 + 3*s**4 + 18*s + 1. Let m(w) = -6*w**4 - 25*w**3 - 54*w**2 - 37*w - 17. Let d(x) = -3*m(x) - 5*p(x). Factor d(b).
3*(b + 1)**3*(b + 2)
Let x(l) be the first derivative of l**5/10 - 5*l**4/8 + 4*l**3/3 - l**2 + 48. Factor x(w).
w*(w - 2)**2*(w - 1)/2
Let x(g) be the third derivative of g**5/90 + g**4/36 + 14*g**2. Let x(a) = 0. What is a?
-1, 0
Suppose -12/5*t**2 - 3/5*t + 0 - 3*t**5 + 18/5*t**3 + 12/5*t**4 = 0. What is t?
-1, -1/5, 0, 1
Factor 4/7*j**3 - 12/7*j - 8/7*j**2 + 0.
4*j*(j - 3)*(j + 1)/7
Let a(h) be the second derivative of -h**6/105 - 3*h**5/70 - 2*h - 2. Factor a(g).
-2*g**3*(g + 3)/7
Let a(k) be the third derivative of k**8/21 + 34*k**7/105 + 2*k**6/3 + 4*k**5/15 + 16*k**2. Factor a(p).
4*p**2*(p + 2)**2*(4*p + 1)
Let u = -719/630 - -52/45. Let b(m) be the third derivative of 0*m**4 + 0*m + 4/21*m**3 - 2*m**2 - 1/420*m**6 - u*m**5 + 0. Determine j, given that b(j) = 0.
-2, 1
Let y be (-220)/(-330) - (14/6)/(-1). Factor -2/5*o**2 + 0 + 1/5*o**y + 1/5*o.
o*(o - 1)**2/5
Factor b - 3*b**2 + 0*b**2 - 3 + 5*b + 0.
-3*(b - 1)**2
Let n(c) be the third derivative of c**5/120 - c**4/96 - 17*c**2. Solve n(q) = 0.
0, 1/2
Let r be (-2)/(-7) - (-664)/28. Let z be r/14 - 10/(-35). Factor 0*h - 1/5*h**z + 0 + 1/5*h**4 + 0*h**3.
h**2*(h - 1)*(h + 1)/5
Let r(l) be the second derivative of -l + 0*l**5 + 0 + 0*l**3 - 1/24*l**4 + 1/120*l**6 + 1/8*l**2. Let r(f) = 0. What is f?
-1, 1
Let i(b) = -b**2 + 3 + 2*b + 1 - 3*b**2 - 7*b**3. Let q(v) = -6*v**3 - 4*v**2 + 2*v + 4. Let l(j) = 4*i(j) - 5*q(j). Factor l(d).
2*(d - 1)*(d + 1)*(d + 2)
Suppose -3*r + 1 = -5. Let d = -77 + 79. Factor -4/9 - 14/9*m**d - r*m.
-2*(m + 1)*(7*m + 2)/9
Factor 4/11 + 14/11*j + 6/11*j**3 + 16/11*j**2.
2*(j + 1)**2*(3*j + 2)/11
Let m be 4/((-16)/(-20)) + -2. Suppose 0 = 4*x - m*x - 2. Find t, given that 0 - 4/7*t + 2/7*t**x = 0.
0, 2
Let v(x) be the second derivative of 3*x + 0 - 1/42*x**4 - 1/21*x**3 + 1/70*x**5 + 1/7*x**2. Factor v(l).
2*(l - 1)**2*(l + 1)/7
Let q(r) = 7*r**4 + r**3 - 13*r**2 - 5. Let t(m) = 6*m**4 + 2*m**3 - 14*m**2 - 6. Let g(n) = 6*q(n) - 5*t(n). Solve g(o) = 0 for o.
-2/3, 0, 1
Let b(v) = -v**2 + 4*v + 2. Let s be b(4). Let s*o**4 + o**4 + 0*o**2 + 0*o**4 - 3*o**2 = 0. Calculate o.
-1, 0, 1
Let w(l) = -l**2 + 34*l + 86. Let a(y) = -10*y**2 + 305*y + 775. Let x(t) = -6*a(t) + 55*w(t). Factor x(n).
5*(n + 4)**2
Let z(r) be the first derivative of r**4/16 - r**3/6 + r**2/8 - 5. What is d in z(d) = 0?
0, 1
Let s be (-2)/(-63)*2/4. Let t(l) be the second derivative of 2/45*l**6 + l + 0 - s*l**7 - 1/30*l**5 + 0*l**3 + 0*l**2 + 0*l**4. Factor t(q).
-2*q**3*(q - 1)**2/3
Let l be 6/(-8)*-2*2. Factor g**5 - 3*g**3 - 9*g + g**l + 10*g.
g*(g - 1)**2*(g + 1)**2
Let l(z) be the first derivative of z**3/3 - z**2 - 6. Determine w so that l(w) = 0.
0, 2
Factor -4/5*p**3 - 4/5*p**5 + 0*p**2 + 8/5*p**4 + 0 + 0*p.
-4*p**3*(p - 1)**2/5
Suppose -m + 0*m + 1 = 0, -j = -3*m + 1. Factor 6*z**3 - 5*z**3 - 2*z**3 - 2*z**j.
-z**2*(z + 2)
Let h(k) be the second derivative of k**7/28 + k**6/4 + 9*k**5/20 - k**4/4 - 7*k**3/4 - 9*k**2/4 - k + 7. Suppose h(m) = 0. Calculate m.
-3, -1, 1
Let p be ((-6)/(-15))/((-4)/(-20)). Factor -187*z + 48*z**3 - 123*z**3 - 36 - 131*z**p - 5*z - 154*z**2.
-3*(z + 3)*(5*z + 2)**2
Let c = -20 - -22. Let n(f) be the first derivative of 0*f**3 + 1 + 0*f**c - 1/20*f**5 - 1/16*f**4 + 0*f. Factor n(v).
-v**3*(v + 1)/4
Let p(x) be the second derivative of -x**5/8 + x**4/12 - 5*x. Factor p(i).
-i**2*(5*i - 2)/2
Let x(i) = 3*i**2 + 2*i + 5. Let l(s) = -5*s**2 - 3*s - 8. Let c(w) = 5*l(w) + 8*x(w). Factor c(f).
-f*(f - 1)
Let r(n) be the third derivative of -n**5/30 - n**4/6 - 2*n**2. Determine t so that r(t) = 0.
-2, 0
Let f(g) be the third derivative of g**7/525 + g**6/180 + g**5/450 - g**4/180 - 23*g**2. Solve f(k) = 0.
-1, 0, 1/3
Let i(h) be the second derivative of 0 + 2/21*h**3 + h + 0*h**2 - 1/42*h**4. Factor i(v).
-2*v*(v - 2)/7
Let a(d) = d**5 - d**3 + d - 1. Let n(i) = -i**5 + i**3 + 2*i - 2. Suppose 2*s + 5*k - 28 = -9, 3*s - 3*k = -3. Let m(u) = s*a(u) - n(u). Solve m(l) = 0.
-1, 0, 1
Let -6 - 3/2*b**2 - 15/2*b = 0. What is b?
-4, -1
Let o(p) be the third derivative of p**7/210 + p**6/60 - p**5/20 + 25*p**2. Factor o(q).
q**2*(q - 1)*(q + 3)
Let o = 10 + -9. Find h, given that -h + 3 + 2*h + 2*h**4 + o - 3*h + 2*h**3 - 6*h**2 = 0.
-2, -1, 1
Suppose x = 2*x - 3. Solve -6*f + 7*f**2 + 0*f**2 + 8*f**2 - 6*f**x = 0 for f.
0, 1/2, 2
Let i(k) be the second derivative of -3/16*k**2 + 3/80*k**5 + 6*k + 0 - 1/240*k**6 - 1/8*k**4 + 5/24*k**3. Factor i(w).
-(w - 3)*(w - 1)**3/8
Suppose -3*c + c = -5*c. Factor c*w + 0 - 1/4*w**5 + 1/2*w**4 + 0*w**2 - 1/4*w**3.
-w**3*(w - 1)**2/4
Let s = -11 + 11. Let n = 3 - s. Factor 3*l**n + 4*l**4 - 3*l**2 - l**4 + 0*l - 3*l.
3*l*(l - 1)*(l + 1)**2
Determine t so that -12/11*t - 16/11*t**2 - 2/11*t**4 + 12/11*t**3 + 18/11 = 0.
-1, 1, 3
Let r be (4/(-16)*0)/(-1). Let m be 0 + 42/10 - 3. Factor 0*j**4 + r - m*j**3 + 3/5*j**5 + 0*j**2 + 3/5*j.
3*j*(j - 1)**2*(j + 1)**2/5
Let r(l) be the first derivative of -1/3*l - 2 - 1/9*l**3 - 1/3*l**2. Determine n, given that r(n) = 0.
-1
Let c(f) be the third derivative of -3*f**6/80 + 11*f**5/40 - 5*f**4/16 - 3*f**3/4 + 9*f**2. Determine l, given that c(l) = 0.
-1/3, 1, 3
Suppose -4*a = -5*d - 0*d - 63, -3*a + 51 = -5*d. Let g be (a/(-16))/((-6)/4). Factor z + g + 1/2*z**2.
(z + 1)**2/2
Let k(t) be the first derivative of -t**6/150 + 2*t**5/75 + 2*t**4/15 + 2*t**3/3 - 10. Let j(p) be the third derivative of k(p). Factor j(h).
-4*(h - 2)*(3*h + 2)/5
Determine p so that 4*p - p**4 + 4 - 4*p**3 - 3*p**2 + 2*p - p - p = 0.
-2, -1, 1
Let g(i) = 5*i**3 + 7*i**2 - 17*i - 1. Let k(j) = -j**3 + j + 1. Let n(p) = -g(p) - 6*k(p). Solve n(v) = 0.
1, 5
Let c(s) be the first derivative of -3*s**5/5 - 9*s**4/4 + 6*s**2 + 5. Factor c(n).
-3*n*(n - 1)*(n + 2)**2
Let w(l) be the second derivative of -l**5/20 - l**4/6 - l**3/6 - l. Let z(q) = 3*q**3 + 3*q**2 + 3*q. Let j(v) = 9*w(v) + 4*z(v). Solve j(h) = 0 for h.
0, 1
Suppose -4*s - 22 = -3*s. Let m = -109/5 - s. Solve 0*v - m*v**2 + 1/5 = 0 for v.
-1, 1
Let h(i) be the first derivative of -1/24*i**3 + 0*i + 2 - 1/8*i**2. Find c such that h(c) = 0.
-2, 0
Let n(u) be the second derivative of -u**6/480 + u**5/40 - u**4/8 + u**3/3 - u**2/2 + u. Let l(a) be the first derivative of n(a). Factor l(x).
-(x - 2)**3/4
Let l(y) be the third derivative of y**7/210 + y**6/20 + y**5/5 + y**4/3 - 3*y**2. Let l(x) = 0. Calculate x.
-2, 0
Let b(z) = -z**3 + z**2 - 3*z - 9. Let m(v) = -v**3 + 2*v**2 - 2*v - 8. Let p(l) = 3*b(l) - 4*m(l). Factor p(u).
(u - 5)*(u - 1)*(u + 1)
Let v = 12 + 2. Let i = v + -8. Factor 4*f**4 + 2/3*f**5 + i*f + 4/3 + 32/3*f**2 + 28/3*f**3.
2*(f + 1)**4*(f + 2)/3