ative of -1/12*b**4 + 0*b**o + 0*b**3 + b + 0. Factor y(t).
-t**2
Let t(c) = c - 3. Let y(h) = 5*h**3 + h**2 - 1. Let m be y(1). Let b be t(m). Factor 1/2*g**3 + 0 + b*g + 2*g**2.
g*(g + 2)**2/2
Let a(o) = -o**4 + o**2. Let b(r) = -r**4 - 8*r**3 + 11*r**2. Let n(w) = -6*a(w) + 2*b(w). Factor n(j).
4*j**2*(j - 2)**2
Suppose -1 + 6 = b. Let l = 5 - b. Factor -1/2*f**5 + 0 + 1/2*f**3 + 1/2*f**4 - 1/2*f**2 + l*f.
-f**2*(f - 1)**2*(f + 1)/2
Let j = 3 + -1. Suppose -1 + 5 = v. Solve -v*d**5 + 4*d**5 + j*d**5 - 3*d**5 + 3*d**3 + 2*d**2 = 0 for d.
-1, 0, 2
Let b(j) be the third derivative of -j**6/540 - j**5/90 - j**4/54 - 6*j**2. Determine u, given that b(u) = 0.
-2, -1, 0
Let s(u) be the first derivative of -u**7/280 + u**6/120 + u**5/20 - 7*u**3/3 - 10. Let m(d) be the third derivative of s(d). Suppose m(r) = 0. Calculate r.
-1, 0, 2
Factor -2/9*n**3 + 2/9*n**2 + 0 + 0*n.
-2*n**2*(n - 1)/9
Let s = -77 - -80. Factor -2/7 - 2/7*o**5 - 20/7*o**s - 10/7*o**4 - 10/7*o - 20/7*o**2.
-2*(o + 1)**5/7
Let y(a) = -8*a**3 - 2*a**2 + 6. Let c be (1/3)/((-1)/(-12)). Suppose -z = -c*z - 3. Let h(g) = -g**3 + 1. Let q(l) = z*y(l) + 6*h(l). Factor q(s).
2*s**2*(s + 1)
Let d(u) = -u - 11. Let t be d(-10). Let i be -2*t/((-4)/(-6)). Factor -10*p**3 - 3*p - p + 8*p**i - 6*p**2.
-2*p*(p + 1)*(p + 2)
Let f = 6 - 3. Suppose -f*s + n - 19 + 53 = 0, -s - 5*n = -22. Suppose s*i**3 - 4*i + 2 - 3*i**2 - 3 + 5*i**2 - 9*i**4 = 0. What is i?
-1/3, 1
Let x(r) be the second derivative of -r**7/1260 - r**6/90 - r**5/15 - r**4/4 - 7*r. Let j(s) be the third derivative of x(s). Find i, given that j(i) = 0.
-2
Let w(a) be the third derivative of -a**5/20 - a**4/4 - a**3/2 + 5*a**2. Determine v, given that w(v) = 0.
-1
Suppose -5*n = -5*a, -4*a + 10 = -2*n + 3*n. Let i be a + -1 + 0 + 1. What is j in -2*j**3 - 2*j**3 + 2*j + 2*j**3 + 2 - j**2 - j**i = 0?
-1, 1
Let m(y) = y**3 + y**2 - 3*y - 1. Let z be m(-2). Let w be 2/(z*(2 - 1)). Find g such that -6*g**2 + 4*g**3 + 0 + 0 + w*g = 0.
0, 1/2, 1
Let w(g) be the second derivative of 0 + 1/15*g**6 + 0*g**2 + 7*g + 5/6*g**4 - 2/3*g**3 - 2/5*g**5. Factor w(p).
2*p*(p - 2)*(p - 1)**2
Let f(o) be the second derivative of o**4/12 + 5*o**3/6 + o**2 + o. Let q be f(-5). Suppose h**q + 20 - h**4 - 20 = 0. What is h?
-1, 0, 1
Let g(w) be the first derivative of -w**7/105 - w**6/60 + 3*w**2/2 - 1. Let m(a) be the second derivative of g(a). Factor m(p).
-2*p**3*(p + 1)
Let y(s) be the second derivative of 0 + 3*s + 0*s**3 + 1/20*s**5 + 0*s**2 - 1/60*s**6 - 1/24*s**4. What is b in y(b) = 0?
0, 1
Let l = -116 - -119. Let p(c) be the first derivative of 1 - 9/2*c**2 - l*c**3 - 3*c - 3/4*c**4. Solve p(v) = 0.
-1
Let b(h) = -20*h**3 - 18*h**2 - 36*h - 41. Let d(x) = -7*x**3 - 6*x**2 - 12*x - 14. Let r(v) = 6*b(v) - 17*d(v). Factor r(y).
-(y + 2)**3
Let t = -28 - -13. Let w = -3 - t. Let d(z) = 14*z**4 - 10*z**3 - 12. Let u(k) = k**4 - k**3 - 1. Let a(f) = w*u(f) - d(f). Solve a(p) = 0 for p.
-1, 0
Solve -3/5 - 3/5*j + 3/5*j**2 + 3/5*j**3 = 0 for j.
-1, 1
Let h = 1 + 3. Factor t - 2*t**5 + 0*t**5 + t - h*t**2 + 4*t**4.
-2*t*(t - 1)**3*(t + 1)
Let t = -1627/7 + 233. Factor t + 0*g**2 + 2/7*g**3 - 6/7*g.
2*(g - 1)**2*(g + 2)/7
Let f(t) = 5*t**4 + t**3 + t**2 - t + 6. Let w(b) = 4*b**4 + b**3 + b**2 - b + 5. Suppose 3*a - 4 = 14. Let y(s) = a*w(s) - 5*f(s). Let y(k) = 0. Calculate k.
-1, 0, 1
Let m(p) be the first derivative of 5 + 2/33*p**3 + 1/11*p**2 - 4/11*p. Factor m(t).
2*(t - 1)*(t + 2)/11
Let l(a) be the second derivative of 0 + 1/16*a**4 + 4*a + 0*a**3 + 3/20*a**5 + 0*a**2 + 3/40*a**6. Factor l(h).
3*h**2*(h + 1)*(3*h + 1)/4
Factor -84*v - 4*v**3 - 38*v**2 + 26*v**2 + 44*v**2 + 72.
-4*(v - 3)**2*(v - 2)
Let d(r) = -r**5 - 20*r**3 + 16*r**2 - 15*r + 8. Let f(c) = c**5 + c**4 + 21*c**3 - 16*c**2 + 16*c - 9. Let s(z) = -7*d(z) - 6*f(z). What is j in s(j) = 0?
1, 2
Factor -8*p - 27*p**3 - 22*p**3 + 52*p**2 + 5*p**3.
-4*p*(p - 1)*(11*p - 2)
Let x = 3631/9 + -403. Let b(h) be the first derivative of 2 + 2/27*h**3 + 8/9*h - x*h**2. Factor b(n).
2*(n - 2)**2/9
Let j = -1 - 2. Let x = 0 - j. Factor -l**5 - 4*l**2 + 6*l**4 - 19*l - 2 + 13*l + 4*l**x + 3*l**5.
2*(l - 1)*(l + 1)**4
Let z(q) = q**5 + 9*q**4 + 7*q**3 - 9*q**2 + 4*q - 6. Let k(t) = t**4 + t**3 - t**2 + t - 1. Let f = 1 - 0. Let u(r) = f*z(r) - 6*k(r). Factor u(m).
m*(m - 1)*(m + 1)**2*(m + 2)
Let s(r) be the second derivative of -r**6/150 - 3*r**5/50 - 13*r**4/60 - 2*r**3/5 - 2*r**2/5 + 22*r. Solve s(d) = 0 for d.
-2, -1
Let y(h) = h**3 - 9*h**2 - 10*h + 3. Let r be ((-15)/10)/(3/(-20)). Let n be y(r). Factor 2*c - 9 - 4*c**2 + 8 + n*c**2.
-(c - 1)**2
Solve -4 - 16*r - 7 - 3 - 928*r**2 + 926*r**2 = 0 for r.
-7, -1
Let f be (3/5)/((-1)/(-79)). Let v = -47 + f. Factor 2/5*d**2 + 4/5*d + v.
2*(d + 1)**2/5
Let z(p) be the second derivative of 0 + 1/9*p**3 - 2*p - 1/6*p**2 - 1/36*p**4. Suppose z(x) = 0. What is x?
1
Let w = -41 - -46. Solve -5/2*j**2 + 0 - 9/2*j**3 - 1/2*j - 7/2*j**4 - j**w = 0 for j.
-1, -1/2, 0
Let b(y) be the third derivative of y**7/490 + y**6/40 + 9*y**5/70 + 5*y**4/14 + 4*y**3/7 - 12*y**2. Determine r so that b(r) = 0.
-2, -1
Let l = -88/357 - -5/17. Let p(z) be the first derivative of 0*z**2 + 0*z + 6/35*z**5 + 2/21*z**3 + 3/14*z**4 + 1 + l*z**6. Factor p(v).
2*v**2*(v + 1)**3/7
Let l(p) be the first derivative of -2*p - 3 - 2/3*p**3 - 2*p**2. Factor l(g).
-2*(g + 1)**2
Suppose -8 = 3*a - 7*a. Determine r so that -4*r**2 - 3*r**2 - 7*r**2 + 9*r + a*r**2 + 3 = 0.
-1/4, 1
Let v(b) = -2*b**2 - 7*b. Let t be v(-3). Solve l + l**t - 2*l + 4*l**2 - l - 3*l**3 = 0.
0, 1
Let o be ((-6)/4)/(-1) + 1 - 2. Factor 1/2*b**4 - 1/2*b**2 - o*b + 0 + 1/2*b**3.
b*(b - 1)*(b + 1)**2/2
Let d be (4 + -2)*8/24. Factor -d*q + 0 - 2/3*q**2.
-2*q*(q + 1)/3
Factor -2/5*u**4 - 12/5*u**2 + 8/5*u + 8/5*u**3 - 2/5.
-2*(u - 1)**4/5
Let u(j) be the third derivative of -3/2*j**4 - 1/18*j**6 + 1/315*j**7 + 3*j**3 + 0*j + 2/5*j**5 - 7*j**2 + 0. Factor u(x).
2*(x - 3)**3*(x - 1)/3
Let l(w) be the first derivative of -12*w**5 + 0*w**2 + 0*w + 2*w**3 - 9/4*w**4 + 4. Factor l(j).
-3*j**2*(4*j - 1)*(5*j + 2)
Factor 0 - 27/5*l**3 + 3/5*l + 9/5*l**2 + 3*l**4.
3*l*(l - 1)**2*(5*l + 1)/5
Let i be (21/15 + 0)*(-2)/(-7). What is d in -4/5*d + 2/5*d**2 + i = 0?
1
Let j be (-1*1)/((-4)/8). Let v(d) = 17*d. Let k be v(j). Find h such that -8*h**3 - 8*h**4 + 4 - 2*h**4 - 18*h**2 + k*h**3 - 2*h = 0.
-2/5, 1
Let u(n) = -n**3 + 3*n**2 + n - 2. Let g be u(2). Let r be (g/10)/(1/5). Let 3*x**2 + 2*x + x**r + 6*x**3 - 4*x**3 = 0. What is x?
-1, 0
Let s(v) = -v**3 - 5*v**2 + 13*v - 10. Let m(w) = 2*w**3 + 10*w**2 - 26*w + 21. Let p(l) = -3*m(l) - 7*s(l). Suppose p(o) = 0. What is o?
-7, 1
Let g(k) = -2*k**5 + 4*k**4 - 4*k**2 + 2*k + 3. Let q(m) = -m**4 + 4*m**5 - 5 + 8*m**2 - 11*m - 7*m**4 + 7*m. Let x(h) = 10*g(h) + 6*q(h). Solve x(i) = 0.
-1, 0, 1
Let m(w) = -w**3 - 8*w**2 + w + 8. Let o(b) = -1 - 2*b**2 + 3*b**2 + 0. Let r(n) = 3*m(n) + 21*o(n). Find k, given that r(k) = 0.
-1, 1
Find h such that h**2 - 2*h**2 - 2*h**2 + 4*h**2 = 0.
0
Let r(h) be the second derivative of 0*h**2 + 3*h + 0*h**3 + 1/48*h**4 + 0 - 1/80*h**5. Determine m so that r(m) = 0.
0, 1
Factor 2/5 + y - 3/5*y**2.
-(y - 2)*(3*y + 1)/5
Let p = 6 + -17/3. Let z(s) be the second derivative of 0*s**4 + p*s**2 - 2/9*s**3 + 1/15*s**5 + 0 - s - 1/45*s**6. Factor z(q).
-2*(q - 1)**3*(q + 1)/3
Let k(f) be the first derivative of f**5/80 + 3*f**4/32 + f**3/4 + f**2/2 - 1. Let w(q) be the second derivative of k(q). Factor w(m).
3*(m + 1)*(m + 2)/4
Suppose 0*x - 3*i = x - 15, 0 = -4*i + 20. Factor -4 + x*u - 4*u - 2*u**2 + 7*u + 3*u.
-2*(u - 2)*(u - 1)
Let p = 26 - 24. Let u(n) be the first derivative of -1/15*n**5 - 4 + p*n**2 - 13/9*n**3 + 1/2*n**4 - 4/3*n. Let u(l) = 0. Calculate l.
1, 2
Let a(l) be the first derivative of l**4/4 - l**3/3 - l**2/2 - 5*l - 5. Let b(v) be the first derivative of a(v). Factor b(c).
(c - 1)*(3*c + 1)
Let z(f) = -f**2 - 1. Let k be (5/15)/((-1)/(-6)). Let r be (2/6)/(k/6). Let j(i) = 4*i**2 + i + 5. Let q(y) = r*j(y) + 5*z(y). Factor q(p).
-p*(p - 1)
Let t(i) = -2*i**3 - 5*i**2 - 2*i - 1. Let r be t(-3). Determine u, given that r*u**2 - 6*u**2 + 4*u - 10*u**2 = 0.
0, 2
Let g(x) be the third derivative of -x**6/60 + 7*x**5/90 - 4*x**3/9 + 7*