t w be 0 + 3/(-3)*r. Factor -1/2*j**5 + 0*j**w + 0*j + 0 + 0*j**4 + 1/2*j**3.
-j**3*(j - 1)*(j + 1)/2
Let y(v) be the first derivative of -v**5/110 - v**4/66 + 5*v**2/2 - 2. Let j(p) be the second derivative of y(p). Factor j(k).
-2*k*(3*k + 2)/11
Let o(w) be the second derivative of -7*w**4/90 + 2*w**3/45 + w. Suppose o(r) = 0. Calculate r.
0, 2/7
Let f(z) = z**3 + z**2 - z - 1. Let v(x) = -2*x**4 + 8*x**3 + 4*x**2 - 8*x - 2. Let u(g) = -4*f(g) + v(g). Suppose u(s) = 0. Calculate s.
-1, 1
Let z = -2194/9 - -244. Factor -2/9*h**2 + 4/9 - z*h.
-2*(h - 1)*(h + 2)/9
Let y(f) = -8*f + 0*f**3 + 5 - 6*f**2 + 5*f**3 + 4*f + 5*f**4 - 3*f**3. Let h(l) = 6*l**4 + 3*l**3 - 6*l**2 - 4*l + 6. Let m(r) = 6*h(r) - 7*y(r). Factor m(q).
(q + 1)**4
Let g(w) be the first derivative of -w**6/10 + 6*w**5/25 + 9*w**4/20 - 4*w**3/5 - 6*w**2/5 - 2. Solve g(p) = 0 for p.
-1, 0, 2
Let j be ((-2)/6 - -2)/((-5)/(-6)). Determine l so that 2*l**j + 1/2*l**5 + 0 + 2*l**4 + 1/2*l + 3*l**3 = 0.
-1, 0
Suppose g = 3*t - 4*t + 1, 2*t + 1 = g. Let s be (0 - 3)*(-4)/42. Factor 2/7*n**2 - s + t*n.
2*(n - 1)*(n + 1)/7
Determine n, given that -4*n + 3*n**2 + 4/3 = 0.
2/3
Let d(v) be the first derivative of v**7/630 - v**6/360 - v**5/180 + v**4/72 - 3*v**2/2 + 8. Let a(x) be the second derivative of d(x). Factor a(s).
s*(s - 1)**2*(s + 1)/3
Let j(u) be the second derivative of 1/21*u**4 + 0*u**2 + 0 + 1/10*u**5 - 4*u + 0*u**3. Factor j(q).
2*q**2*(7*q + 2)/7
Let m = 44 - 68. Let t be (-5 + 2)/(m/32). Factor -g**2 + 3/2*g**t + 0*g - 1/2*g**3 + 0.
g**2*(g - 1)*(3*g + 2)/2
Let w = -143 - -143. Factor w*u + 3/7*u**2 + 3/7*u**3 + 0.
3*u**2*(u + 1)/7
Let z(w) be the second derivative of w**7/7 + 3*w**6/10 + 3*w**5/20 + 4*w. Let z(f) = 0. What is f?
-1, -1/2, 0
Let f(x) be the second derivative of 0*x**3 + 7*x + 1/5*x**2 - 1/30*x**4 + 0. Factor f(m).
-2*(m - 1)*(m + 1)/5
Let g(b) = -b + b**3 + 1 - b**2 + 0*b**2 + 0*b**2. Let r be g(2). Factor 5*h - 3*h**2 + 2*h**3 - 3*h**r + 2 - 4*h + h**4.
(h - 2)*(h - 1)*(h + 1)**2
Let r = 15 + -11. Let w(h) be the first derivative of -1/6*h**3 + 1/16*h**r + 0*h - 1/8*h**2 + 1 + 1/10*h**5. Suppose w(t) = 0. Calculate t.
-1, -1/2, 0, 1
Let l(o) be the second derivative of -o**6/25 + 7*o**5/50 - o**4/10 - o**3/5 + 2*o**2/5 - 20*o. Factor l(r).
-2*(r - 1)**3*(3*r + 2)/5
Suppose -15 = 3*r, -5*a + 0*r + 30 = -2*r. Suppose 0*m - m + 7 = 2*c, -4*c = -4*m + a. Solve -3*u**m + u**4 - u**2 + 3*u**3 = 0.
-1, 0, 1
Let t(y) be the first derivative of y**6/2 + 9*y**5/5 + 9*y**4/4 + y**3 + 6. Solve t(m) = 0 for m.
-1, 0
Let q = -8288/11 - -754. Suppose 6/11*g - q*g**3 + 2/11*g**4 + 2/11*g**2 - 4/11 = 0. Calculate g.
-1, 1, 2
Suppose 0 = -2*a - a - 6. Let s be (-10)/(-6) + a/(-6). Factor -l**4 + 3*l**3 - 2*l**s + 0*l**3 + 0*l**4.
-l**2*(l - 2)*(l - 1)
Let i(k) = 4*k**5 - 16*k**4 + 24*k**3 + 16*k**2 - 20*k + 8. Let d(s) = -s**3 - s**2. Let f(t) = 8*d(t) + i(t). Factor f(j).
4*(j - 2)*(j - 1)**3*(j + 1)
Let m(j) = -2*j**2 - 10*j - 10. Let w(u) = -5*u**2 - 29*u - 31. Let f(k) = -7*m(k) + 2*w(k). Let f(s) = 0. Calculate s.
-2, -1
Let i(r) be the third derivative of 0 - 4*r**2 + 0*r + 0*r**3 - 1/60*r**5 + 0*r**4. Factor i(s).
-s**2
Let y(u) be the first derivative of 3*u**7/28 - u**6/20 - u**5/8 - u**4/24 - 3*u + 1. Let p(d) be the first derivative of y(d). Factor p(n).
n**2*(n - 1)*(3*n + 1)**2/2
Let b(r) be the first derivative of -4*r**5/5 + 15*r**4/4 - 16*r**3/3 + 3*r**2/2 + 2*r - 30. Factor b(n).
-(n - 2)*(n - 1)**2*(4*n + 1)
Let m(d) be the first derivative of -d**4/2 - d**3 - d**2/2 - 18. Find c, given that m(c) = 0.
-1, -1/2, 0
Let q(a) be the third derivative of -a**8/840 - a**7/350 + a**5/300 + a**2. Solve q(i) = 0 for i.
-1, 0, 1/2
Factor -7 - 2*j - 1/7*j**2.
-(j + 7)**2/7
Let g(d) = -17*d**3 - 8*d**2 - 8*d. Let b(a) = -11*a**3 - 5*a**2 - 5*a. Suppose 4*j - 17 = -49. Let n(r) = j*b(r) + 5*g(r). Factor n(x).
3*x**3
Let a = -1 + 2. Suppose 5*d - 19 - a = 0. Find m, given that 0*m + 0 - 2/3*m**d + 0*m**2 + 4/3*m**3 = 0.
0, 2
Let n(o) be the third derivative of 81*o**6/40 + 45*o**5/16 + 13*o**4/8 + o**3/2 - 15*o**2. Factor n(f).
3*(4*f + 1)*(9*f + 2)**2/4
Factor 2/7 + 2/7*z**4 + 12/7*z**2 - 8/7*z - 8/7*z**3.
2*(z - 1)**4/7
Suppose 3*m - 9 = 2*h, 0*m + 2*m + 5 = 5*h. Suppose -5*s**2 - s**4 - s**h - 4*s**3 - 4*s - 6*s**2 + 3*s**2 = 0. Calculate s.
-2, -1, 0
Let i(c) be the first derivative of 1/16*c**4 - 6 + 1/4*c**3 + 1/4*c**2 + 0*c. Let i(z) = 0. What is z?
-2, -1, 0
Let a(r) = 4*r - 1. Let t be a(1). Suppose i**2 + i**4 + i**3 - 3*i**3 + 4*i**t = 0. Calculate i.
-1, 0
Let c = -30 - -16. Let z be 7/c*1/(-2). Factor 1/4 + 1/2*o + z*o**2.
(o + 1)**2/4
Suppose -7*w - 3*p - 2 = -2*w, -16 = 4*p. Factor -5*l**2 + w + 7*l - 5 - 57*l**3 + 58*l**3.
(l - 3)*(l - 1)**2
Let p(i) be the second derivative of i**7/2100 - i**5/100 + i**4/30 - 2*i**3/3 + 2*i. Let r(a) be the second derivative of p(a). Factor r(o).
2*(o - 1)**2*(o + 2)/5
Let p(w) be the third derivative of w**7/1785 - w**6/1020 - w**5/510 + w**4/204 + 31*w**2. Factor p(i).
2*i*(i - 1)**2*(i + 1)/17
Let q(c) = -c**5 - 3*c**4 - 8*c**3 + 2*c**2 + 8*c + 2. Let b(f) = f**5 + f**4 + f**3 + f**2 - 1. Let x(t) = -2*b(t) - q(t). Factor x(o).
-o*(o - 2)**2*(o + 1)*(o + 2)
Let g(b) be the second derivative of 0*b**4 + 1/147*b**7 + 0*b**3 + 0*b**2 + 0 + 1/105*b**6 - 2*b + 0*b**5. Suppose g(h) = 0. Calculate h.
-1, 0
Suppose -p = -2 - 2. Let 2*c**2 - 5*c**3 + 4*c**3 - p*c**2 = 0. What is c?
-2, 0
Let i(q) = -5*q**4 + 3*q**3 - q**2 - 3*q - 3. Let n(c) = -c**4 - c**3 + c**2 - c - 1. Let d(k) = i(k) - 3*n(k). Factor d(p).
-2*p**2*(p - 2)*(p - 1)
Let z = 43 + -38. Let t(l) be the third derivative of 0 + 0*l**3 - 3*l**2 + 0*l**4 - 1/180*l**z + 0*l. Factor t(k).
-k**2/3
Let a(w) = -w. Let u(r) = 5*r**2 + 20*r + 10. Let v(n) = 5*a(n) + u(n). Factor v(y).
5*(y + 1)*(y + 2)
Let g(o) be the second derivative of -o**5/30 + o**4/3 - 4*o**3/3 - o**2/2 - 2*o. Let s(i) be the first derivative of g(i). Let s(y) = 0. Calculate y.
2
Let t = -11/175 - -431/6300. Let s(b) be the third derivative of -1/36*b**4 + 0 - 2*b**2 + t*b**6 - 1/18*b**3 + 1/180*b**5 + 0*b. Find m such that s(m) = 0.
-1, -1/2, 1
Let x(t) be the first derivative of -3*t**4/4 + 2*t**3 - 3*t**2/2 - 1. Factor x(z).
-3*z*(z - 1)**2
Factor -2/3*t**2 + 0 + 2*t**3 - 2*t + 2/3*t**4.
2*t*(t - 1)*(t + 1)*(t + 3)/3
Factor 6/13*g + 8/13*g**2 + 2/13*g**3 + 0.
2*g*(g + 1)*(g + 3)/13
Let j be 5 - ((-744)/28)/(-6). Let s = -1/7 - -3/7. Factor 6/7*p - 6/7*p**4 - j*p**3 - s*p**5 + 2/7 + 4/7*p**2.
-2*(p - 1)*(p + 1)**4/7
Let m(z) be the third derivative of 14641*z**7/560 - 1331*z**6/40 + 363*z**5/20 - 11*z**4/2 + z**3 - 5*z**2. Find k, given that m(k) = 0.
2/11
Let z(n) = -5*n**2 + 8*n. Let s(u) = -u**2 + u. Let b(k) = k - 5. Let q be b(4). Let g(j) = q*z(j) + 6*s(j). What is i in g(i) = 0?
-2, 0
Find b such that -4/3*b**3 - 2/3*b**4 + 0*b**2 + 4/3*b + 2/3 = 0.
-1, 1
Let v(h) be the second derivative of 2*h**4/33 + h**3/33 - 4*h. Factor v(w).
2*w*(4*w + 1)/11
Suppose 0 = 28*w + 45*w. Factor -3/2*f**3 + w + 3/2*f**2 + 3*f.
-3*f*(f - 2)*(f + 1)/2
Suppose -6*p**2 - 8*p + 26 - 15 - 11 = 0. Calculate p.
-4/3, 0
Let u(s) be the third derivative of s**5/240 + 8*s**2. Suppose u(b) = 0. What is b?
0
Factor 0*b**2 - 2/7*b + 0 + 2/7*b**3.
2*b*(b - 1)*(b + 1)/7
Let n(l) = l**3 - 4*l**2 + 2. Let p be n(4). Let 9*k**p - 6*k**2 + 2 + 0 + 5*k = 0. What is k?
-1, -2/3
Suppose 4*s = -4*s. Let j(p) be the second derivative of 1/24*p**3 + 0 + 1/24*p**4 + s*p**2 + 1/80*p**5 - p. Factor j(q).
q*(q + 1)**2/4
Let o(v) be the third derivative of -1/120*v**6 + 0*v + 1/12*v**4 - 1/3*v**3 + 1/40*v**5 - 3*v**2 - 1/420*v**7 + 0. Factor o(y).
-(y - 1)**2*(y + 2)**2/2
Let q(z) be the third derivative of -7*z**6/30 - 19*z**5/15 - 4*z**4/3 + 8*z**3/3 + 10*z**2. Factor q(b).
-4*(b + 1)*(b + 2)*(7*b - 2)
Let t = 33 + -30. Suppose 0*j + 17 = j + t*x, 29 = 2*j + 5*x. Determine w, given that 0*w**j + 0 + 1/2*w**3 + 0*w = 0.
0
Let p(u) be the second derivative of -u**6/45 + u**5/30 + u**4/9 + 17*u. Let p(t) = 0. Calculate t.
-1, 0, 2
Let c(x) be the third derivative of -x**7/210 - x**6/60 + x**5/20 + x**4/6 - 2*x**3/3 + 11*x**2. Solve c(d) = 0.
-2, 1
Suppose -2*o + 4*o - 4 = 0. Let d = 1 + o. Determine i so that -7*i + 11*i**3 - 6*i**3