 = 0. Calculate f.
-1, 0, 1
Let m be (0 - -3)*(-16)/(-12). Determine s so that m*s - s**2 - 5*s + 0*s = 0.
-1, 0
Let v(o) be the third derivative of 0 + 5/21*o**5 + 2*o**2 + 0*o + 1/20*o**6 - 37/84*o**4 + 2/7*o**3. Solve v(h) = 0 for h.
-3, 2/7, 1/3
Let r be 1*(2 + -2 + 0). Let t be 1/(-2)*(-6)/9. Factor r + 1/3*b - t*b**2.
-b*(b - 1)/3
Let m(g) = g**3 + 6*g**2 - g + 4. Let r be m(-6). Suppose -x = -2*n - 15, 3*x = x - n + 25. Suppose -x - f**2 - 2*f + r*f - f**2 + 5 = 0. Calculate f.
2
Let n(r) = r**3 - 2*r**2 - 6*r + 3. Let m be n(3). Let j be (-55)/(-33) + (-2)/m. Factor 1/2*w**j - w + 0.
w*(w - 2)/2
Find o, given that 4/17*o + 2/17*o**2 - 16/17 = 0.
-4, 2
Let c(v) = v**3 - v - 1. Let f be 2*2*(-1)/2. Let b(z) = 0*z**2 + 2*z**3 + 9 - 2*z**2 - 12*z**3 + 8*z. Let t(r) = f*b(r) - 18*c(r). Let t(m) = 0. Calculate m.
-1, 0
Let j(l) = -3*l**3 - l**2 - l - 1. Let u be j(-1). Let w be (8/14)/(u/7). Let 1/4*s**3 + 1/4*s**w + 0 + 0*s = 0. Calculate s.
-1, 0
Factor -6*f**2 - 12 - 2*f**3 + 0*f**3 + 10 - 6*f.
-2*(f + 1)**3
Find x such that -3*x**2 - 5*x**3 + 0*x**2 + 8*x**3 - 3*x**2 = 0.
0, 2
Let -2/23 - 48/23*r**2 + 18/23*r + 32/23*r**3 = 0. What is r?
1/4, 1
Let k(n) be the third derivative of -n**5/180 - n**4/72 - 20*n**2. Let k(a) = 0. What is a?
-1, 0
Let v(c) be the second derivative of c**8/20160 - c**6/2160 - c**4/12 + c. Let z(a) be the third derivative of v(a). Factor z(p).
p*(p - 1)*(p + 1)/3
Let l(s) be the first derivative of s**6/720 + s**5/120 + s**4/48 - s**3/3 + 1. Let w(z) be the third derivative of l(z). Factor w(a).
(a + 1)**2/2
Let u(q) be the first derivative of 3*q**6/2 + 6*q**5/5 - 9*q**4/2 - 4*q**3 + 9*q**2/2 + 6*q + 33. Solve u(p) = 0 for p.
-1, -2/3, 1
Factor 1/7 + 0*g - 1/7*g**2.
-(g - 1)*(g + 1)/7
Suppose 4*f + 0*f + k - 14 = 0, -7 = f - 5*k. Let 4*i**2 - i**3 + 5*i**f - 2 - i - i**3 = 0. Calculate i.
-1, 2/3
Factor 0*n**4 - 2*n**4 + 7*n**2 - 15*n**2 - 8*n**2 + 10*n**3 + 8*n.
-2*n*(n - 2)**2*(n - 1)
Let a(y) be the second derivative of -y**5/300 + y**4/60 - y**3/30 - 3*y**2/2 - y. Let v(r) be the first derivative of a(r). Factor v(p).
-(p - 1)**2/5
Suppose -1 = -3*r + 14. Let a(u) be the third derivative of 0 + 3*u**2 + 1/12*u**4 + 0*u - 2/9*u**3 + 1/720*u**6 - 1/60*u**r. Factor a(z).
(z - 2)**3/6
Let 8*h**4 + 0*h**3 + 21*h + 0*h**3 - 20*h**3 - h**5 - 18 + 10*h**2 = 0. What is h?
-1, 1, 2, 3
Let t(b) = -9*b - 32. Let y be t(-4). Find q such that 5/3*q**3 - y*q**4 - 3*q**5 + 0 + 4/3*q + 4*q**2 = 0.
-1, -2/3, 0, 1
Factor 8/7 + 2*r**2 - 32/7*r.
2*(r - 2)*(7*r - 2)/7
Let w(z) be the first derivative of 4*z**3/3 + 2*z**2 - 8*z - 8. Factor w(h).
4*(h - 1)*(h + 2)
Let j(o) = -o**2 + o - 1. Let u(s) = 5 + 3*s**2 - 14*s + 9*s**2 + 7. Let l(y) = 20*j(y) + 2*u(y). Factor l(v).
4*(v - 1)**2
Let u(m) be the second derivative of -m**8/7560 + m**6/1620 - m**3/6 + 9*m. Let r(c) be the second derivative of u(c). Find d, given that r(d) = 0.
-1, 0, 1
Let k(f) be the third derivative of f**5/390 + f**4/156 + 6*f**2. Find h such that k(h) = 0.
-1, 0
Let l(b) be the first derivative of -25*b**3/8 + 45*b**2/8 - 27*b/8 - 2. Let l(d) = 0. What is d?
3/5
Let v(y) be the second derivative of y**6/105 + y**5/70 - y**4/42 - y**3/21 - 6*y. Factor v(k).
2*k*(k - 1)*(k + 1)**2/7
Let x = -12 + 12. Let v(h) be the first derivative of 0*h**2 - 2/35*h**5 + x*h**4 + 0*h**3 + 0*h - 2 - 1/21*h**6. Solve v(f) = 0.
-1, 0
Let r(c) be the third derivative of -c**6/30 - c**5/3 - c**4 + 26*c**2. Determine v so that r(v) = 0.
-3, -2, 0
Let p(q) = 2*q**4 - 32*q**3 + 20*q + 10. Let o(y) = y**4 - 13*y**3 + 8*y + 4. Let l(c) = 12*o(c) - 5*p(c). Let l(m) = 0. What is m?
-1, 1
Factor 3/2*p**4 + 21/2*p**3 + 27/2*p + 0 + 45/2*p**2.
3*p*(p + 1)*(p + 3)**2/2
Let j = -11 + 17. Let l be (2/j)/((-2)/(-24)). Factor -1/4*d**2 + 1/4*d**l - 1/4*d + 0 + 1/4*d**3.
d*(d - 1)*(d + 1)**2/4
Let j(a) be the second derivative of -a**7/189 + a**5/45 - a**3/27 + 39*a. Factor j(m).
-2*m*(m - 1)**2*(m + 1)**2/9
Suppose 24/17 - 2/17*r**2 - 8/17*r = 0. What is r?
-6, 2
Let m(c) = -c**3 - c**2 + 5*c. Suppose -5*u = -p - 14, 0 = -7*p + 2*p - 20. Let x(v) = v + 2*v - u*v. Let a(h) = -m(h) + 5*x(h). Solve a(i) = 0.
-1, 0
Factor 0*d**2 - 1/7*d**3 + 0 + 1/7*d.
-d*(d - 1)*(d + 1)/7
Let n(q) be the first derivative of -4*q**3/15 - 4*q**2/5 + 12*q/5 - 27. Let n(v) = 0. What is v?
-3, 1
Let u be (2/(-6))/((-2)/18). Let -5*g**u - 3*g**2 + 3*g + 6*g**4 - 4*g + 3*g = 0. Calculate g.
-2/3, 0, 1/2, 1
Let k = 1 + 15. Suppose l - 21 = -k. Let 1/3*h - h**l + 4/3*h**4 + 0 + 2/3*h**3 - 4/3*h**2 = 0. What is h?
-1, 0, 1/3, 1
Let r(m) = 0 - 6 - 3*m + m**2 - 2*m + 0*m. Let i be r(6). Factor -6/5*j**2 - 4/5*j - 2/5*j**3 + i.
-2*j*(j + 1)*(j + 2)/5
Solve 1/4*q**4 + 0*q + 0*q**2 + 0 + 3/2*q**3 = 0.
-6, 0
Let d(q) be the first derivative of q**3/6 + q**2/4 - 4. Factor d(v).
v*(v + 1)/2
Factor 0 - 8/13*j - 2/13*j**2.
-2*j*(j + 4)/13
Find m, given that 0*m - 1/3*m**3 - 4/3*m**2 + 0 = 0.
-4, 0
Let n(f) be the second derivative of -2*f**6/75 - 3*f**5/50 + 7*f**4/30 + 4*f**3/5 + 4*f**2/5 + 49*f. Let n(j) = 0. What is j?
-2, -1, -1/2, 2
Let o be ((-1)/7)/(2 - (-296)/(-28)). Let r(t) be the second derivative of 0*t**2 - 1/40*t**5 - 1/24*t**4 + 0 + o*t**6 + 1/12*t**3 - 3*t. What is w in r(w) = 0?
-1, 0, 1
Let q(w) = -4*w**2 + 3*w**2 + 1 + 4*w - 3*w. Let n(l) = -6*l**2 + 2*l + 4. Let c(x) = -n(x) + 4*q(x). Find m, given that c(m) = 0.
-1, 0
Let r(z) be the third derivative of 0 + 0*z**5 + 0*z**4 - 1/420*z**7 + 0*z**6 - z**2 + 0*z**3 + 0*z. Factor r(q).
-q**4/2
Let p(u) be the second derivative of u**7/120 - u**6/180 + u**3/3 + 3*u. Let s(w) be the second derivative of p(w). Determine j, given that s(j) = 0.
0, 2/7
Let l(b) = 1. Let f(n) = n**2 - 6*n + 5. Let j(i) = -f(i) + 3*l(i). Let z be j(5). Factor 0 + 0*c**2 - 2/5*c + 2/5*c**z.
2*c*(c - 1)*(c + 1)/5
Let z = 730 - 730. Let -2/3*f**5 - 2/3*f + 4/3*f**3 + 0 + z*f**2 + 0*f**4 = 0. Calculate f.
-1, 0, 1
Let u = 12 - 8. Factor c**u - 2 - c**3 + 3 + c**3 - 2*c**2.
(c - 1)**2*(c + 1)**2
Factor -1/3*o**2 + 8/3*o - 16/3.
-(o - 4)**2/3
Suppose 16*o - 23*o = -21. Factor 0*v - 2/7*v**o - 2/7*v**5 + 0*v**2 + 4/7*v**4 + 0.
-2*v**3*(v - 1)**2/7
Let k be (-473)/(-693) - 4/36. Factor k*w**2 + 2/7*w + 0 + 2/7*w**3.
2*w*(w + 1)**2/7
Let w(d) be the third derivative of -d**5/210 - d**4/42 - d**3/21 + 6*d**2. Solve w(c) = 0 for c.
-1
Let x(g) be the first derivative of g**5/10 - g**4/2 + 2*g**3/3 - 6*g + 6. Let n(b) be the first derivative of x(b). Factor n(u).
2*u*(u - 2)*(u - 1)
Let l be (6/(-8))/((-33)/88). Factor 1/4*h**l + 1/4*h + 0.
h*(h + 1)/4
Let -4*g**4 + 4*g**2 + 0 - 8/9*g + 8/9*g**3 = 0. Calculate g.
-1, 0, 2/9, 1
Let p(j) be the third derivative of j**7/210 - j**6/60 - 4*j**2. Factor p(u).
u**3*(u - 2)
Let c(g) be the first derivative of -2*g**3 + 3*g + 0*g**2 + 3/5*g**5 + 0*g**4 - 2. Determine p so that c(p) = 0.
-1, 1
Let u = -6 - -6. Let l(m) be the third derivative of 1/210*m**5 + 1/84*m**4 + u*m + 0*m**3 + 0 + 2*m**2. Find q, given that l(q) = 0.
-1, 0
Suppose -3*f - 4 = -n + f, -2*f - 2 = 0. Factor 4/7*t + n - 2/7*t**2.
-2*t*(t - 2)/7
Let k(h) be the second derivative of -h**5/80 + h**4/48 + h**3/24 - h**2/8 - 12*h. What is g in k(g) = 0?
-1, 1
Suppose 144*f**3 + 3*f**2 + 16 - 24*f - 145*f**3 + 6*f**2 = 0. What is f?
1, 4
Let f(y) = -2*y. Let n(r) = -r**3 - 15*r**2 - 2. Let t be n(-15). Let b be f(t). Factor 1/4*k**5 + 0*k**b - 1/4*k**3 + 0*k**2 + 0 + 0*k.
k**3*(k - 1)*(k + 1)/4
Determine a, given that -4*a**4 - 6*a**2 + 16*a**4 + 4*a**5 - 15*a**3 + 5*a**5 = 0.
-2, -1/3, 0, 1
Factor -21/5*z - 3/5*z**2 + 24/5.
-3*(z - 1)*(z + 8)/5
Let z(i) = -3*i - 4. Let y be z(-3). Suppose 21 = 3*c + y*f, 2*c - 5*f = -f - 8. Factor -12*a**2 + 0*a**4 + 4*a - c - 2*a**4 + 4*a + 8*a**3.
-2*(a - 1)**4
Let m = -38 - -38. Factor 1/4*f**3 + 0*f - 1/2*f**4 + 1/4*f**5 + 0*f**2 + m.
f**3*(f - 1)**2/4
Let m = 2 + 2. Let s(n) be the first derivative of 4/9*n**2 + 3 + 121/18*n**m - 88/27*n**3 + 0*n. Suppose s(h) = 0. Calculate h.
0, 2/11
Suppose -40 - 8 = -8*y. Let t(g) be the first derivative of -4*g**2 - 19/8*g**4 - 1/12*g**y + 3 + 25/6*g**3 + 7/10*g**5 + 2*g. Determine i, given that t(i) = 0.
1, 2
Let z(a) be the first derivative of 3*a**6/10 + 3*a**5/5 - 21*a**4/20 - 9*a**3/5 + 6*a**2/5 + 12*a/5 - 1. So