
4*(o + 1)*(o + 2)
Factor -3/5*h**5 + 0*h**2 + 0*h + 0 - 6/5*h**4 + 0*h**3.
-3*h**4*(h + 2)/5
Let j be 5/(45/24) - (-6)/18. Factor q + 1/3 - 1/3*q**2 - q**j.
-(q - 1)*(q + 1)*(3*q + 1)/3
Let g(q) = -q**3 - q. Let d(r) = 12*r**3 + 3*r**2 + 18*r - 3. Let b(n) = d(n) + 15*g(n). Solve b(f) = 0.
-1, 1
Let d(p) be the second derivative of p**4/4 - p**3 - 12*p. Solve d(b) = 0 for b.
0, 2
Let l be 4 + -3*2/3. Factor 4*k**l - 3*k**2 - 2*k**2 + 0*k - k.
-k*(k + 1)
Let n be (0 - (-4)/(-2))*(-2)/8. Find i, given that -3/2*i**2 - 2*i - n = 0.
-1, -1/3
Let x(p) be the third derivative of -p**5/300 + p**3/30 + 2*p**2. Factor x(f).
-(f - 1)*(f + 1)/5
Suppose -5*j = 88 - 28. Let x be (0 - 1)/(3/j). Find v such that -2*v**3 - x*v + v + 5*v = 0.
-1, 0, 1
Suppose m = 6*m - 15. Factor 0 + 2/3*s**2 + 1/3*s + 0*s**m - 2/3*s**4 - 1/3*s**5.
-s*(s - 1)*(s + 1)**3/3
Determine d so that 6*d**4 - 1066 + 1066 - 6*d**2 - 3*d**5 + 3*d**3 = 0.
-1, 0, 1, 2
Let i be 4/14 + (-133)/(-49). Factor 2*f**5 + 3*f - i*f - 4*f**3 + 2*f.
2*f*(f - 1)**2*(f + 1)**2
Suppose -5*x + 4*h = -29, 5*h + 20 = 3*x - 0*x. Let o(d) be the first derivative of 0*d**4 + 0*d**2 + 0*d + 1/5*d**x - 2 - 1/3*d**3. Find t such that o(t) = 0.
-1, 0, 1
Let x(p) be the third derivative of -2*p**7/735 - p**6/105 + p**5/105 + p**4/21 + 21*p**2. Determine v, given that x(v) = 0.
-2, -1, 0, 1
Let g(b) be the third derivative of b**8/168 + b**7/105 - b**6/60 - b**5/30 - 2*b**2. Find a, given that g(a) = 0.
-1, 0, 1
Let b(o) = 16*o**5 - 8*o**4 - 12*o**3 + 4*o**2 - 4. Let j(u) = -u**5 + u**4 + 1. Let n(s) = b(s) + 4*j(s). Let n(m) = 0. What is m?
-1, 0, 1/3, 1
Suppose -3*v + 4*n + 0 = 3, 3*v - 3*n = 0. Suppose 3*g**2 + 3*g**v + g + g + 2*g**2 = 0. Calculate g.
-1, -2/3, 0
Suppose o - 12 = -3*o. Let g = -30 - -152/5. Let -g*k + 0 - 8/5*k**4 - 12/5*k**o - 8/5*k**2 - 2/5*k**5 = 0. What is k?
-1, 0
Let i(f) be the first derivative of -3/10*f**5 - f + 1/15*f**6 + 4/3*f**3 + 0*f**4 + 1 + 0*f**2. Let u(p) be the first derivative of i(p). Factor u(l).
2*l*(l - 2)**2*(l + 1)
Let w be (1 - (3 + -1))/1. Let f be 11 + -15 - (w - 8). Find n, given that -2/3*n**f - 2*n**3 + 0 - 2*n**4 - 2/3*n**2 + 0*n = 0.
-1, 0
Let s be 2*(-7)/6 - (-7 + 4). Factor -1/3*u**3 - 1/3*u + 0 + s*u**2.
-u*(u - 1)**2/3
Solve 2/5*w + 6/5*w**3 + 0 - 8/5*w**2 = 0 for w.
0, 1/3, 1
Suppose -3*f - 2*r = -6*r - 14, -f + 4*r = -10. Let o be 2 + -2 + (4 - f). Factor 2 - k**3 - 2 + k**o - 2*k**2.
-k**2*(k + 1)
Let v(a) be the first derivative of 12/5*a**5 + 1/3*a**6 - 4 + 4*a**2 + 13/2*a**4 + 0*a + 8*a**3. Let v(g) = 0. Calculate g.
-2, -1, 0
Let v(d) = -6*d**2 + 4*d + 6. Let s(o) = o**2 - o - 1. Suppose 5*l = h - 6, 0 = -6*l + 2*l + 4*h - 8. Let f(t) = l*v(t) - 4*s(t). Factor f(b).
2*(b - 1)*(b + 1)
Let s be ((-14)/12 - -2) + 1/(-3). Factor 0 + 1/4*f**3 + 0*f**2 + 1/4*f**5 + 0*f + s*f**4.
f**3*(f + 1)**2/4
Let p(v) be the first derivative of -v**3/15 + 4*v**2/5 + 9*v/5 + 4. Factor p(o).
-(o - 9)*(o + 1)/5
Let p(g) be the second derivative of g**6/10 - g**5/20 - 5*g**4/12 + g**3/6 + g**2 + 7*g. Factor p(c).
(c - 1)**2*(c + 1)*(3*c + 2)
Let i(u) be the third derivative of u**5/420 + u**4/84 - u**3/14 - 8*u**2. Factor i(p).
(p - 1)*(p + 3)/7
Let u(b) be the first derivative of b**5/60 - b**4/12 + b**3/6 - b**2/6 - 2*b + 2. Let i(k) be the first derivative of u(k). Factor i(j).
(j - 1)**3/3
Let t be 3*16/3 - 2. Find u such that -t*u**4 + 3*u**2 + 11*u**4 - 3*u**3 + 2*u + u = 0.
-1, 0, 1
Let j = -216 + 216. Factor 0*i + 0*i**4 + 3/5*i**3 - 3/5*i**5 + 0 + j*i**2.
-3*i**3*(i - 1)*(i + 1)/5
Let i(u) be the third derivative of -u**5/10 + u**4/3 + 4*u**3/3 - 32*u**2 - u. Find t such that i(t) = 0.
-2/3, 2
Let v(a) = -2*a - 54. Let z be v(-29). Solve 13/3*l**3 + 0 + 2*l**z + 4*l**2 + 4/3*l + 1/3*l**5 = 0.
-2, -1, 0
Suppose -158*x + 163*x = 20. Factor -m**x + 0 - 1/2*m**5 + 1/2*m + 0*m**3 + m**2.
-m*(m - 1)*(m + 1)**3/2
Suppose 1/5 + 1/5*x**2 + 2/5*x = 0. What is x?
-1
Let v(s) = -10*s**5 + 6*s**4 + 8*s**3 + 4*s**2 - 4*s. Let r(k) = k**5 - k**4 + k**3 + k**2 - k. Let z(c) = -4*r(c) + v(c). Factor z(h).
-2*h**3*(h - 1)*(7*h + 2)
Let l be -6*2*2/(-12). Suppose 0 = l*r + 3 - 7. Suppose 0 + 2/7*o + 2/7*o**r = 0. What is o?
-1, 0
Let z(p) be the first derivative of 2/3*p**3 + 3/2*p**2 + p - 1/2*p**4 - 1/6*p**6 - 3/5*p**5 + 2. Factor z(h).
-(h - 1)*(h + 1)**4
Let n(z) = 2*z**5 - 6*z**4 - 3*z**3 + 6*z**2 - 9*z + 5. Let k(i) = -3*i**5 + 9*i**4 + 4*i**3 - 9*i**2 + 13*i - 7. Let f(p) = 5*k(p) + 7*n(p). Factor f(u).
-u*(u - 2)*(u - 1)**2*(u + 1)
Let p(n) be the third derivative of -n**6/60 + 2*n**5/15 - n**4/3 - 15*n**2. Find y, given that p(y) = 0.
0, 2
Let i be 324/42 - 8/(-28). Suppose -3*n - n = -i. Determine d so that 1 + 3*d + 5/4*d**n = 0.
-2, -2/5
Let j(p) be the first derivative of -p**6/480 + p**5/240 + p**4/96 - p**3/24 - p**2 - 5. Let g(y) be the second derivative of j(y). Let g(t) = 0. Calculate t.
-1, 1
Let g(x) = -x**3 + x + 4. Let d be g(0). Determine r, given that d*r**4 - 5*r**4 - 3*r**3 + r**2 + 0*r + 2*r**5 + r = 0.
-1, -1/2, 0, 1
Let j(f) be the first derivative of f**6/6 - 3*f**5/5 - f**4/2 + 4*f**3 - 4*f**2 - 19. Suppose j(u) = 0. What is u?
-2, 0, 1, 2
What is u in 71*u**3 + 2*u - 12*u + 20*u**4 - 16*u**3 + 0*u**2 + 25*u**2 = 0?
-2, -1, 0, 1/4
Let i be (2/3*-6)/(-2). Let o(d) be the first derivative of 1 + 0*d - 1/3*d**3 + 0*d**i. Suppose o(p) = 0. Calculate p.
0
Let w(d) be the first derivative of 7/9*d**3 + 5 + 1/4*d**4 + 1/3*d + 5/6*d**2. What is x in w(x) = 0?
-1, -1/3
Let l(b) be the second derivative of -b**4/60 + b**3/15 + 3*b**2/10 - b. Factor l(t).
-(t - 3)*(t + 1)/5
Let s(b) be the second derivative of 0 - 1/27*b**6 + 5/18*b**4 + 3*b - 4/27*b**3 - 4/9*b**2 - 1/45*b**5. Determine t so that s(t) = 0.
-2, -2/5, 1
Suppose -2*i - 6*y + 15 = -y, -3*y - 22 = -5*i. Suppose -3*v + 5*o - 11 = 0, 0 = -i*o + 14 + 6. Solve -c**2 - c + 2*c**2 + v*c - c = 0 for c.
-1, 0
Let z(c) be the second derivative of c**5/50 - 2*c**4/15 - c**3/3 - 15*c. Factor z(u).
2*u*(u - 5)*(u + 1)/5
Let b(h) = -h. Let l(a) = 5*a**2 - 14*a - 1. Let o(r) = -9*r**2 + 28*r + 1. Let v(u) = -5*l(u) - 3*o(u). Let c(j) = 10*b(j) - v(j). Solve c(x) = 0.
1
Let j(h) = -5 + 5 - 5*h**2 + 2*h**3 + 3. Let l = 2 - -2. Let p(b) = -3*b**3 + 6*b**2 - 4. Let z(m) = l*j(m) + 3*p(m). Factor z(d).
-d**2*(d + 2)
Let y(n) be the first derivative of -n**5/10 + 9*n**4/8 - 7*n**3/2 + 19*n**2/4 - 3*n - 14. Factor y(u).
-(u - 6)*(u - 1)**3/2
Let t(m) be the third derivative of m**6/1380 - m**5/230 - m**4/276 + m**3/23 + 22*m**2 - 2*m. Factor t(q).
2*(q - 3)*(q - 1)*(q + 1)/23
Let s(v) be the second derivative of -5*v**7/168 + v**6/24 + v**5/16 - 5*v**4/48 - 46*v. Factor s(j).
-5*j**2*(j - 1)**2*(j + 1)/4
Solve 0 + 0*n + 2/13*n**3 - 6/13*n**2 = 0.
0, 3
What is y in 13*y**2 + 9/4*y**4 - 11/2*y + 3/4 - 21/2*y**3 = 0?
1/3, 1, 3
Suppose -2 + 4/3*v - 1/6*v**2 = 0. Calculate v.
2, 6
Let i(l) be the first derivative of 1 - 1/7*l**4 + 4/7*l**2 - 2/35*l**5 + 2/7*l**3 - 8/7*l. Solve i(a) = 0 for a.
-2, 1
Let c(f) be the third derivative of f**7/756 - f**6/360 - f**5/90 + f**4/8 - 3*f**2. Let d(b) be the second derivative of c(b). Factor d(g).
2*(g - 1)*(5*g + 2)/3
Let k(a) be the second derivative of a**4/51 + a**3/17 + a**2/17 - 11*a. Determine f, given that k(f) = 0.
-1, -1/2
Let w(j) be the second derivative of -j**7/24 - 23*j**6/120 - j**5/4 - j**4/12 + 2*j. Suppose w(h) = 0. What is h?
-2, -1, -2/7, 0
Suppose z + 5 = 7. Factor 0 + 1/3*n**z - 1/3*n.
n*(n - 1)/3
Let c(l) be the first derivative of 1/4*l - 3/8*l**2 + 1/4*l**3 + 3 - 1/16*l**4. Suppose c(k) = 0. Calculate k.
1
Suppose -3*c = -3*m + 1 + 2, 2*c = 6. Let t(i) = i**3 + i - 1. Let u(s) = -6*s**3 - 2*s**2 - 2*s + 6. Let r(o) = m*t(o) + u(o). Factor r(p).
-2*(p - 1)*(p + 1)**2
Let c(o) be the first derivative of -5/8*o**2 + 1/24*o**6 - 1/5*o**5 + 1/6*o**3 + 1/2*o + 10 + 1/4*o**4. Let c(b) = 0. What is b?
-1, 1, 2
Let k(j) be the second derivative of j**7/42 - j**6/15 - 3*j**5/80 + 5*j**4/48 + j**3/12 - 2*j. Suppose k(u) = 0. What is u?
-1/2, 0, 1, 2
Let m(g) be the second derivative of 245*g**4/12 + 35*g**3/3 + 5*g**2/2 - 7*g. Factor m(a).
5*(7*a + 1)**2
Factor -3/5 + 3/5*f**2 + 0*f.
3*(f - 1)*(f + 1)/5
Factor -14*t + t**2 - 2*t**2 - 36 - 13.
-(t + 7)**2
Let u be 0 -