rivative of -w**4/2 + w**3/3 + 3*w**2/2 - 6. Let l(r) = 5*c(r) - i(r). Factor l(t).
-3*t*(t + 1)**2
Let l = -3 - -13/4. Solve -1/4*s**2 - l*s + 0 = 0 for s.
-1, 0
Let h(v) = -5*v**2 + 8*v + 4. Suppose 10*a - 5*a = -3*o - 27, -10 = o + 2*a. Let p(m) = 2 - 6*m - 2*m**2 + 10*m + 0*m. Let x(i) = o*h(i) + 9*p(i). Factor x(z).
2*(z + 1)**2
Let y be (8/(-10))/((-456)/760). Determine m, given that -2/3*m**2 + 0 - y*m + 2/3*m**3 = 0.
-1, 0, 2
Let p be 5/1*8/(-20). Let d be 0/(p/(1 - 0)). Factor -4*z + d*z + 2*z**2 + 3*z - 1.
(z - 1)*(2*z + 1)
Let d = -60 - -424/7. Solve d*z + 6/7*z**2 - 2/7 = 0 for z.
-1, 1/3
Let r(c) be the second derivative of -3*c**2 + 3*c - 3/2*c**3 + 5*c**4 + 0. Suppose r(f) = 0. What is f?
-1/4, 2/5
Let s = -32/13 + 238/65. Factor -8/5*p**4 + 0*p**2 + s*p**5 + 0*p + 2/5*p**3 + 0.
2*p**3*(p - 1)*(3*p - 1)/5
Let m(o) be the second derivative of o**4/8 + o**3/2 - 9*o**2/4 - 47*o. Factor m(w).
3*(w - 1)*(w + 3)/2
Let x(k) be the first derivative of -k**6/33 + 4*k**5/55 - 4*k**3/33 + k**2/11 - 7. Factor x(q).
-2*q*(q - 1)**3*(q + 1)/11
Solve -125 + 23*p - 5*p**2 - 7*p + 34*p = 0.
5
Factor -3/4*k + 1/2*k**2 - 1/2.
(k - 2)*(2*k + 1)/4
Let b(v) be the first derivative of v**4/42 - v**3/21 + 7*v + 3. Let d(r) be the first derivative of b(r). Factor d(w).
2*w*(w - 1)/7
Factor 16*k**2 + k**3 - 4*k - 18*k**2 + k**3.
2*k*(k - 2)*(k + 1)
Let k(q) = 2*q**3 - q**2 + q. Let u be k(1). Let w be 1 + u + (0 - -1). Let 0*c**4 + c**w + 2*c**2 - 3*c**2 = 0. What is c?
-1, 0, 1
Let v(c) be the second derivative of -c**5/60 + c**4/18 + c**3/18 - c**2/3 - c - 31. Let v(b) = 0. Calculate b.
-1, 1, 2
Let h be ((-15)/(-18) - 0)/((-25)/(-45)). Let -6*v + 6*v**3 - h*v**2 + 3/2 = 0. What is v?
-1, 1/4, 1
Let i(t) be the third derivative of 0 - 1/70*t**7 + 3*t**2 + 0*t + 0*t**5 + 0*t**3 + 0*t**4 + 1/20*t**6. Find m such that i(m) = 0.
0, 2
Let a be (2 - 4)/2*0. Let v(t) be the third derivative of -1/21*t**3 + t**2 + 1/42*t**4 - 1/210*t**5 + a*t + 0. Factor v(m).
-2*(m - 1)**2/7
Let s = 61/4 + -175/12. Let w(v) be the second derivative of -v - s*v**2 + 2/9*v**3 - 1/36*v**4 + 0. Factor w(u).
-(u - 2)**2/3
Factor 14/9*x + 2/9*x**2 + 20/9.
2*(x + 2)*(x + 5)/9
Let g(a) = 7*a**3 - 2*a**2 + 1. Let s be g(-1). Let k be s/(-6)*6/28. Factor -2/7*f**5 + k - 4/7*f**2 - 2/7*f + 4/7*f**3 + 2/7*f**4.
-2*(f - 1)**3*(f + 1)**2/7
Suppose -3*s + 18 = -0*s. Factor s*w - w - 2 - 2*w**2 - w.
-2*(w - 1)**2
Let u be 6*4/(-228) + (-6)/(-57). Factor 0 - 3/5*z**4 + 0*z**2 + 0*z**3 + u*z.
-3*z**4/5
Let n = -16 - -16. Let m be -3 - (-3 + n/3). Factor -l**2 - 1/3*l**4 + m + l**3 + 1/3*l.
-l*(l - 1)**3/3
Let -1069*x**3 + 1069*x**3 + 4*x**4 - 4*x**2 = 0. Calculate x.
-1, 0, 1
Suppose 4*m - 8 = -i + m, 3*m = 5*i - 4. Determine s, given that -4*s - 7*s + 4 + 7*s**2 - 7*s + i*s = 0.
2/7, 2
Let x(f) be the second derivative of 0 + 0*f**2 - 3*f + 0*f**3 - 1/70*f**5 + 1/42*f**4. Factor x(q).
-2*q**2*(q - 1)/7
Let h = -385 + 1541/4. Factor 0 + 0*k + 1/2*k**3 + h*k**2 + 1/4*k**4.
k**2*(k + 1)**2/4
Let d(h) be the second derivative of h + 1/9*h**3 + 1/20*h**5 + 0 + 2/45*h**6 + 0*h**2 - 1/4*h**4. Find p, given that d(p) = 0.
-2, 0, 1/4, 1
Let m = -47 + 51. Let c(y) be the second derivative of 0 + 0*y**2 - 1/18*y**m + 0*y**3 + 1/10*y**5 - 1/15*y**6 - 3*y + 1/63*y**7. Let c(p) = 0. Calculate p.
0, 1
Let a(u) be the first derivative of -5*u**4/4 - 7*u**3/3 - u**2 - 4. Suppose a(w) = 0. Calculate w.
-1, -2/5, 0
Let n be 2/54*(-6)/(-1). Let -2/9 - n*c**2 + 4/9*c = 0. What is c?
1
Suppose h - u + 2 = 3*h, -26 = -2*h + 5*u. Find f, given that -f**3 - 4*f**4 - 16*f**5 + h*f**2 - 20*f**4 + 3*f**2 - f = 0.
-1, 0, 1/4
Let l(k) be the third derivative of k**7/8820 - k**6/2520 - k**5/210 - k**4/8 - 3*k**2. Let h(x) be the second derivative of l(x). Factor h(f).
2*(f - 2)*(f + 1)/7
Let h = 93 + -278/3. Let w(k) be the first derivative of 0*k**2 + 2 - h*k**4 + 2/15*k**5 + 0*k + 2/9*k**3. Factor w(a).
2*a**2*(a - 1)**2/3
Let s(u) = 3*u**3 + 3*u**2 + 4*u. Let r(x) = 2*x**3 + 3*x**2 + 3*x - 1. Let i(p) = 4*r(p) - 3*s(p). What is v in i(v) = 0?
-1, 2
Let p(c) = -c**3 - 7*c**2 - 12*c - 6. Let j be p(-5). Let r(q) be the second derivative of 3/80*q**5 - 4*q + 0*q**j + 0 + 0*q**3 + 0*q**2. Factor r(g).
3*g**3/4
Let g(t) be the third derivative of t**5/270 + t**4/108 - 2*t**3/27 - 14*t**2. Suppose g(v) = 0. Calculate v.
-2, 1
Let f be 0/(-2)*1 + 3. Factor -i**3 - 6 + 1 + 3*i + 2 + 3*i**2 - 2*i**f.
-3*(i - 1)**2*(i + 1)
Let k(h) = 6*h**2 - 13*h. Let v(w) = 4*w**2 - 9*w. Let f be 4/22 - (-112)/(-11). Let o = f + 15. Let i(b) = o*k(b) - 7*v(b). What is n in i(n) = 0?
0, 1
Let c(f) be the third derivative of f**7/15120 + f**6/1440 + f**5/360 - f**4/6 + 4*f**2. Let p(l) be the second derivative of c(l). Factor p(z).
(z + 1)*(z + 2)/6
Suppose 17*n + 10 - 44 = 0. Solve 2/5*u + 0 + 0*u**n - 2/5*u**3 = 0.
-1, 0, 1
Let g be -3*(-2 - 6/(-8)). Let q = 79/20 - g. Factor 0 - 1/5*h**2 - 1/5*h**3 + q*h + 1/5*h**4.
h*(h - 1)**2*(h + 1)/5
Let r = 47/42 - 15/14. Let h(u) be the second derivative of r*u**3 - 1/42*u**4 + 4*u + 0 - 1/70*u**5 + 1/7*u**2. Solve h(y) = 0 for y.
-1, 1
Let b(d) = 4*d**2 - 6*d. Let f(z) = 21*z**2 - 31*z - 1. Let u(y) = -11*b(y) + 2*f(y). Factor u(l).
-2*(l - 1)**2
Let t(g) = g**2 + 2*g + 2. Let a be t(-2). Let j(r) be the second derivative of 0 - 2/7*r**a + 1/42*r**4 + 3*r + 1/21*r**3. What is c in j(c) = 0?
-2, 1
Let d(l) be the first derivative of -l**7/210 - l**6/30 - l**5/15 - 3*l**3 - 8. Let z(f) be the third derivative of d(f). Find x, given that z(x) = 0.
-2, -1, 0
Let s be ((-6)/(-5) - 2)*5/(-2). Let o(g) be the first derivative of -1/9*g**3 - 1/3*g**2 - 1/3*g - s. Factor o(l).
-(l + 1)**2/3
Let q(y) be the first derivative of -9*y**4/8 - 2*y**3 - y**2 - 1. Factor q(w).
-w*(3*w + 2)**2/2
Let x = 42 - 40. What is i in 6/5*i**4 + 6/5*i**3 + 0*i + 0 + 2/5*i**5 + 2/5*i**x = 0?
-1, 0
Factor 0 + 8/9*l - 2/3*l**2 - 2/9*l**3.
-2*l*(l - 1)*(l + 4)/9
Factor 1/7 + 2/7*t**2 - 3/7*t.
(t - 1)*(2*t - 1)/7
Let a(y) be the second derivative of y**4/12 + y**3/3 + y**2/2 + 3*y. Let h be a(-1). Factor n**3 + n**3 + h*n**3.
2*n**3
Let q = 33 + -7. Suppose 0 = 5*d + 2*m - q, -m + 5 = 2. Factor -2*n**3 - 2*n**2 - 5*n**d + 3*n**4 - 2*n**3.
-2*n**2*(n + 1)**2
Determine a, given that 9/4*a**2 + 81/4*a**3 - 1/2*a + 127/4*a**4 + 57/4*a**5 + 0 = 0.
-1, -1/3, 0, 2/19
Let f(h) be the third derivative of -23/96*h**4 + 1/6*h**5 + 10*h**2 + 1/30*h**6 + 1/8*h**3 + 0*h + 0. Factor f(c).
(c + 3)*(4*c - 1)**2/4
Let a(x) be the second derivative of -x**5/12 + 25*x**4/36 - 20*x**3/9 + 10*x**2/3 - 8*x. Factor a(v).
-5*(v - 2)**2*(v - 1)/3
Let f(i) be the third derivative of -i**8/6720 + i**7/2520 + i**4/12 - 2*i**2. Let c(s) be the second derivative of f(s). Solve c(y) = 0 for y.
0, 1
Let n(r) be the third derivative of -r**6/240 + r**5/240 + 5*r**2. Factor n(m).
-m**2*(2*m - 1)/4
Factor -1/5*t + 1/5*t**4 + 1/5*t**3 - 1/5*t**2 + 0.
t*(t - 1)*(t + 1)**2/5
Let c(k) = 14*k**2 - 6*k - 3. Let v(d) = -5*d**2 + 2*d + 1. Let j(p) = 6*c(p) + 17*v(p). Find z such that j(z) = 0.
-1
Let r(p) be the third derivative of p**9/45360 + p**8/6720 + p**7/3780 - p**4/6 + 3*p**2. Let v(g) be the second derivative of r(g). Factor v(a).
a**2*(a + 1)*(a + 2)/3
Let a(y) = -3*y**2 + 9*y. Let p(v) = -7*v**2 + 19*v. Let x(b) = 13*a(b) - 6*p(b). Factor x(o).
3*o*(o + 1)
Let y(a) be the first derivative of 0*a**2 + 0*a + 2 - 12/5*a**5 - 2*a**4 + 0*a**3. Factor y(s).
-4*s**3*(3*s + 2)
Let d(z) be the third derivative of 7*z**5/100 - 9*z**4/40 + z**3/5 + 2*z**2 + 7*z. Solve d(s) = 0 for s.
2/7, 1
Solve 6/5*j**3 - 2/5*j**4 + 0 - 4/5*j - 2/5*j**5 + 2/5*j**2 = 0 for j.
-2, -1, 0, 1
Let m be 10/4*(5 + -1). Suppose m = 4*t + 2. Find s such that 4/3*s - 2/3 - 2/3*s**t = 0.
1
Let a(u) be the third derivative of 3*u**6/10 + 22*u**5/5 + 38*u**4/3 + 16*u**3 - 9*u**2 - 2*u. Find t such that a(t) = 0.
-6, -2/3
Let k(w) = -8*w**3 + 15*w**2 - 24*w - 10. Let b(j) = 4*j**3 - 8*j**2 + 12*j + 4. Let c(h) = 9*b(h) + 4*k(h). Factor c(n).
4*(n - 1)**3
Let n be ((-20)/(-25))/(14/35). Let d(p) be the third derivative of 0 + 0*p - 3*p**n - 1/120*p**5 + 1/48*p**4 + 0*p**3. Suppose d(s) = 0. Calculate s.
0, 1
Factor -3/2*d**5 - 9*d**3 + 0 - 3/2*d - 6*d**4 - 6*d**2.
-3*d*(d + 1)**4/2
Let p(d) = d**4 - 3*d