ctor p**2 - w*p**2 - p + 5*p.
-4*p*(p - 1)
Let w = 2/33 + 14/11. Factor 0*d + 2/3*d**3 + 0 + w*d**2.
2*d**2*(d + 2)/3
Let p(i) be the second derivative of i**5/15 + i**4/36 - 2*i**3/9 - i**2/6 + 42*i + 2. Factor p(n).
(n - 1)*(n + 1)*(4*n + 1)/3
Let s(i) = 7*i**2. Let w(u) = 8*u**2. Let c(t) = 5*s(t) - 4*w(t). Solve c(v) = 0.
0
Let a = 52 - 28. Factor 2*v**2 - 24 + a - 2*v**4 + v - v**5.
-v*(v - 1)*(v + 1)**3
Let d(b) = 5*b**4 + 17*b**3 + 6*b**2 - 17*b. Let g(a) = -3*a + a + 2*a**2 + 6*a**3 - 4*a + 2*a**4. Let u(t) = 4*d(t) - 11*g(t). Factor u(l).
-2*l*(l - 1)**2*(l + 1)
Let n(z) = -z - 2. Let k be ((-8)/16)/(1/4). Let r be n(k). Find j, given that r*j + 0 + 1/4*j**2 = 0.
0
Let p(r) be the second derivative of 0*r**3 + 0 + 0*r**2 - 8*r + 1/30*r**4 - 1/75*r**6 + 0*r**5. Factor p(k).
-2*k**2*(k - 1)*(k + 1)/5
Let a(s) be the second derivative of -s**6/180 + s**5/150 + s**3/3 - s. Let r(n) be the second derivative of a(n). What is t in r(t) = 0?
0, 2/5
Let y = 4 + 2. Suppose -2*c = -y*c + 8. Determine l, given that 2*l**3 - 4*l**2 + 0*l**2 + c*l + 0*l**3 = 0.
0, 1
Let v(f) be the first derivative of 3*f**5/10 + 3*f**4/2 + 5*f**3/2 + 3*f**2/2 + 3. Factor v(i).
3*i*(i + 1)**2*(i + 2)/2
Let q(k) = -4*k**5 - 13*k**4 - 4*k**3 + 5*k**2. Let s(i) = 2*i**5 + 6*i**4 + 2*i**3 - 2*i**2. Let v(m) = 4*q(m) + 10*s(m). Determine o, given that v(o) = 0.
-1, 0
Suppose 9*s**2 - 33/2*s + 9 - 3/2*s**3 = 0. What is s?
1, 2, 3
Let i be (1 + -2)/(1/(-13)). Let a = -13 + i. Factor 1/4*n**3 + 0 + a*n**2 - 1/4*n.
n*(n - 1)*(n + 1)/4
Let p = 0 + 2. Determine y, given that p*y**4 + 3*y - 4*y**3 - 3*y + 0*y = 0.
0, 2
Let r(b) be the first derivative of 5*b**4/4 + 20*b**3/3 - 15*b**2/2 - 90*b - 2. Let r(m) = 0. What is m?
-3, 2
Let h(f) be the second derivative of -f**7/3 - 11*f**6/15 - 16*f**5/35 - 2*f**4/21 - 17*f. Determine t, given that h(t) = 0.
-1, -2/7, 0
Let m(v) be the second derivative of v**5/30 + v**2/2 - 5*v. Let h(k) be the first derivative of m(k). Factor h(o).
2*o**2
Solve -10*y**2 + 1 - y + 9*y**2 + 2*y**3 - y = 0.
-1, 1/2, 1
Let q(h) be the third derivative of -h**5/20 + 7*h**2. Factor q(g).
-3*g**2
Let d(r) be the second derivative of 5*r**7/42 - 4*r**6/3 + 15*r**5/4 + 10*r**4/3 - 40*r**3/3 + 37*r. Determine t so that d(t) = 0.
-1, 0, 1, 4
Let o be 16 + 3/3 - -3. Suppose 20*y - 2*y**2 - o*y = 0. Calculate y.
0
Factor 1/6*d**2 + 2/3 - 2/3*d.
(d - 2)**2/6
Let a be 464/18 - 4/(-18). Suppose -12 - 12 = -3*s. Find q, given that 2*q**2 - 12*q**4 - a*q**2 + s*q + 20*q**3 + 2*q**5 + 4*q**3 + 2*q**3 = 0.
0, 1, 2
Let 22/7*o**2 - 2/7*o**3 - 72/7 - 48/7*o = 0. Calculate o.
-1, 6
Let b(u) be the second derivative of -2*u**7/21 + u**5/5 + 3*u. Suppose b(i) = 0. What is i?
-1, 0, 1
Let k(y) be the first derivative of 4*y**3/21 + 3*y**2/7 + 2*y/7 + 31. Factor k(b).
2*(b + 1)*(2*b + 1)/7
Let b(r) be the third derivative of 0 + 1/40*r**4 + 1/600*r**6 + 0*r - 1/30*r**3 - r**2 - 1/100*r**5. Factor b(c).
(c - 1)**3/5
Let h(j) be the third derivative of -j**8/6720 - j**7/840 - j**6/240 - j**5/120 + j**4/12 - j**2. Let f(k) be the second derivative of h(k). Solve f(w) = 0.
-1
Let f(l) be the first derivative of -2*l**5 + 2*l**4 - 8*l**3/15 + 24. Factor f(m).
-2*m**2*(5*m - 2)**2/5
Let c be 2/10*2 + 26/10. Factor 4/11*p - 10/11*p**4 + 18/11*p**c + 0 + 2/11*p**5 - 14/11*p**2.
2*p*(p - 2)*(p - 1)**3/11
Let w(g) be the first derivative of g**4/4 - 3*g**3 + 15*g**2/2 + 25*g - 3. What is x in w(x) = 0?
-1, 5
Let v(w) = -w**2 + 4*w + 1. Let h be v(5). Let n be 2/8 - h/(-144). Let 2/9*c + n*c**2 + 0 - 2/9*c**3 - 2/9*c**4 = 0. What is c?
-1, 0, 1
Let d(m) be the first derivative of 1/12*m**4 + 6 + 1/6*m**3 - 1/3*m**2 - 2/3*m - 1/30*m**5. Factor d(c).
-(c - 2)**2*(c + 1)**2/6
Factor 0 + 1/2*k**3 - k - 1/2*k**2.
k*(k - 2)*(k + 1)/2
Let c(i) be the second derivative of i**5/15 + 2*i**4/9 - 2*i**3/9 - 4*i**2/3 + 14*i. Factor c(w).
4*(w - 1)*(w + 1)*(w + 2)/3
Let r(d) be the first derivative of 0*d + 2 - 1/540*d**6 - 1/36*d**4 - 1/90*d**5 + d**2 - 1/27*d**3. Let a(t) be the second derivative of r(t). Factor a(b).
-2*(b + 1)**3/9
Let x(z) = 21*z. Let m be x(1). Suppose -2*d - 3 + m = 0. Find u such that 32*u**3 + 1 - d*u**4 - 12*u**2 - 4*u + 65*u**4 + 8*u**4 = 0.
-1/2, 1/4
Let d(a) = -a + 8. Let f be d(6). Factor 2*r**3 - 4*r**3 + f*r**2 - 2*r**4 - 2*r**3 - 4*r**4.
-2*r**2*(r + 1)*(3*r - 1)
Let t be -3 - (-8)/4 - 1. Let d(k) = -4*k**2 - 13*k + 12. Let n(y) = -2*y**2 - 6*y + 6. Let g(h) = t*d(h) + 5*n(h). Factor g(b).
-2*(b - 1)*(b + 3)
Let p(y) = -y**5 + 6*y**4 + 5*y**3 + 5*y**2 + 5*y + 5. Let g(x) = 3*x**4 + 3*x**3 + 3*x**2 + 3*x + 3. Let l(c) = -5*g(c) + 3*p(c). Factor l(w).
-3*w**4*(w - 1)
Let h(g) be the second derivative of -g**5/30 - g**4/12 + g**2/2 - 2*g. Let k(v) be the first derivative of h(v). Determine j, given that k(j) = 0.
-1, 0
Let n(d) be the second derivative of -d**6/40 + 3*d**5/20 - 2*d**3 - 2*d**2 - 7*d. Let q(j) be the first derivative of n(j). Solve q(i) = 0 for i.
-1, 2
Factor -18*m**2 + 0*m**2 + 6*m**2 + 3*m**4.
3*m**2*(m - 2)*(m + 2)
Let w(s) be the first derivative of 2/5*s**5 + 0*s - 1/4*s**4 + 0*s**3 - 1/6*s**6 - 1 + 0*s**2. Factor w(p).
-p**3*(p - 1)**2
Find a such that 16*a**2 + 12*a**4 + 65*a + 2*a**2 + 17*a**2 + 30 - 17*a**4 - 5*a**3 = 0.
-2, -1, 3
Let m = 106 + -211/2. Factor -1/4*f**3 + m*f**2 + 0 + 0*f.
-f**2*(f - 2)/4
Suppose -12 = -7*g + 3*g. Let k(v) be the first derivative of -1/9*v**g + 1/6*v**2 + 0*v - 1/12*v**4 + 1/15*v**5 + 2. Factor k(c).
c*(c - 1)**2*(c + 1)/3
Solve -8*c**4 + 12*c**4 - c**3 + 3*c**2 + c - 2 - 5*c**4 = 0.
-2, -1, 1
Let a(l) be the first derivative of -2*l**3/27 + 4*l**2/9 - 2*l/3 + 42. Find r such that a(r) = 0.
1, 3
Let r(b) = -36*b**2 + 80*b - 64. Let c(h) = -7*h**2 + 16*h - 13. Let d(g) = 16*c(g) - 3*r(g). Factor d(y).
-4*(y - 2)**2
Let q(k) = 9*k**2. Let z be 2 + -3 + 0/(-2). Let x(u) = -u**2 - u. Let j(d) = z*q(d) - 6*x(d). Suppose j(f) = 0. What is f?
0, 2
Determine c, given that 0 - 12/7*c + 4/7*c**2 = 0.
0, 3
Let n(x) be the third derivative of x**9/18144 - x**8/3780 + x**7/7560 + x**6/540 - x**5/12 - 2*x**2. Let g(p) be the third derivative of n(p). Factor g(y).
2*(y - 1)**2*(5*y + 2)/3
Let b(x) be the third derivative of -2*x**7/105 + 11*x**6/60 - 13*x**5/30 + x**4/3 - 18*x**2 + 2. Factor b(j).
-2*j*(j - 4)*(j - 1)*(2*j - 1)
Suppose 0*x - x = -1. Let a be x/6 + 2/12. Factor -a*v**2 + 0*v + 1/3.
-(v - 1)*(v + 1)/3
Let s(i) be the third derivative of -i**5/12 + 5*i**4/8 - 5*i**3/3 - 16*i**2. Let s(p) = 0. What is p?
1, 2
Let x be 24/13 - (-94)/611. Find l, given that -4/3*l**3 + 4/3*l - 2/3 + 2/3*l**x = 0.
-1, 1/2, 1
Let x(q) = -4*q**2 - q + 1. Let o(h) = -h**2 + 1. Let v(w) = -w - 4. Let c be v(-6). Let l(b) = c*o(b) - 2*x(b). Suppose l(f) = 0. Calculate f.
-1/3, 0
Let j = -98 - -100. What is i in 3*i - 2/3 - 7/3*i**j = 0?
2/7, 1
Let x be 111/21 + (-4)/14. Suppose 4*g + g - x = 0. Factor -3*u**3 + u**2 - 2*u**4 - g - 1 + 3*u + 3*u**4.
(u - 2)*(u - 1)**2*(u + 1)
Let t(g) be the second derivative of 0*g**4 - 1/15*g**5 + 0 + 0*g**2 + g + 0*g**3 + 1/45*g**6. Factor t(j).
2*j**3*(j - 2)/3
Factor 245 + 5*d**2 - 29*d - 15*d + 14*d - 40*d.
5*(d - 7)**2
Let f(j) = -j**3 + j**2 - j + 1. Let d(i) = -3*i**3 + 4*i**2 - 3*i + 2. Let q(v) = 3*d(v) - 6*f(v). Suppose q(l) = 0. What is l?
0, 1
Factor 20*y**2 + 8 + 18*y**2 - 40*y**2 + 6*y.
-2*(y - 4)*(y + 1)
Let o(j) be the second derivative of -2/3*j**2 + 7/30*j**5 - 8/9*j**4 + 0 + 11/9*j**3 + 3*j. Determine g, given that o(g) = 0.
2/7, 1
Let q(u) be the second derivative of u**4/18 + u**3/3 + 2*u**2/3 - 10*u. Let q(k) = 0. Calculate k.
-2, -1
Suppose 4*r + 2*i - 6 = 0, 0 = -r + 5*i + 2 + 5. Let t**2 + 5*t - 7*t - 2*t**r + 4*t = 0. Calculate t.
0, 2
Let r(y) be the first derivative of 0*y**2 - 2/15*y**3 - 4/25*y**5 - 1/4*y**4 - 6 - 1/30*y**6 + 0*y. What is x in r(x) = 0?
-2, -1, 0
Let l(d) be the first derivative of -2645*d**3/3 + 230*d**2 - 20*d - 47. Let l(z) = 0. What is z?
2/23
Let v(y) = y**3 + 3*y**2 + 5*y + 9. Let g be v(-2). Let h be (-10)/(-6) - (-3)/(-3). Factor h*j + 7/3*j**4 + 11/3*j**2 + 16/3*j**g + 0.
j*(j + 1)**2*(7*j + 2)/3
Let r(k) = k**5 + 5*k**4 - k**3 - 2*k**2 + 3. Let p(f) = 3*f**5 + 11*f**4 - 3*f**3 - 4*f**2 + 7. Let x(h) = -3*p(h) + 7*r(h). Factor x(w).
-2*w**2*(w 