5*(y - 1)**2*(y + 2)
What is o in 40*o**3 - 2 - 21*o**3 + 2*o**2 - 21*o**3 - o + 3*o = 0?
-1, 1
Let q(f) = f - 3. Let c be q(6). Factor -c*a**2 - 2 - a + 2*a**3 + 6*a - a**3 - a**2.
(a - 2)*(a - 1)**2
Let n be (-2)/(2 + (-5)/2). Suppose 4*u - 20 + n = 0. Solve u*k - 3*k + 2 + 0*k - k**2 = 0.
-1, 2
Suppose 3*t - 5*w - 24 = 0, 1 = -4*w - 11. Let c(z) be the first derivative of 2/3*z + 1 + 1/6*z**2 - 1/9*z**t. Factor c(a).
-(a - 2)*(a + 1)/3
Let w(t) = 15*t**2 + 19*t + 11. Let j(b) = 8*b**2 + 10*b + 6. Let g(x) = -7*j(x) + 4*w(x). Factor g(u).
2*(u + 1)*(2*u + 1)
Let o = -14 + 16. Factor -2*i + 18*i**o - 11*i**2 + 5*i**4 - 2*i**5 + i**5 - 9*i**3.
-i*(i - 2)*(i - 1)**3
Let s be (2/(-3))/(4/156). Let g = s + 26. Factor 1/2*m**3 + 0*m**2 + 0 + g*m.
m**3/2
Let s = -157/240 + 11/16. Let n(k) be the second derivative of 0 - k + 2/5*k**2 - s*k**4 - 1/15*k**3. Let n(l) = 0. What is l?
-2, 1
Let f(r) be the first derivative of -r**6/2 - 3*r**5/5 + 3*r**4/4 + r**3 - 9. Suppose f(s) = 0. What is s?
-1, 0, 1
Let t(r) be the first derivative of -1/3*r**3 + 3 + 0*r + r**2. Factor t(k).
-k*(k - 2)
Let s be (-1)/((-9)/(36/8)). Let p = 0 + s. Factor -p*g**2 - g - 1/2.
-(g + 1)**2/2
Find r such that 0 + 2/9*r - 2/9*r**3 + 0*r**2 = 0.
-1, 0, 1
Let a be 5/((-50)/(-4)) - -2. Factor 0*r**2 + 0 + 0*r + 3*r**4 - a*r**5 - 3/5*r**3.
-3*r**3*(r - 1)*(4*r - 1)/5
Suppose -3/4*t**4 - 7/2*t**5 - 1/2*t + 0 + 4*t**3 + 3/4*t**2 = 0. What is t?
-1, -1/2, 0, 2/7, 1
Let a(q) = -3*q**2 + 9*q + 6. Let o(x) = -x. Let k(u) = -a(u) - 6*o(u). Factor k(l).
3*(l - 2)*(l + 1)
Let n(g) be the third derivative of -1/420*g**6 + 0*g**4 + 0 - 1/1176*g**8 + 0*g**3 + g**2 + 0*g + 0*g**5 + 2/735*g**7. Factor n(b).
-2*b**3*(b - 1)**2/7
Let j(h) be the first derivative of 40*h**6/3 - 24*h**5 + 5*h**4/4 + 10*h**3 + 5*h**2/2 + 12. Factor j(p).
5*p*(p - 1)**2*(4*p + 1)**2
Let w(b) be the first derivative of -1/15*b**6 + 0*b**4 + 0*b - 4/15*b**3 + 4/25*b**5 + 1/5*b**2 - 1. Factor w(k).
-2*k*(k - 1)**3*(k + 1)/5
Factor 1 + 3/2*y - y**2.
-(y - 2)*(2*y + 1)/2
Let t be (2/(-348))/((-5)/550). Let q = t + 1/29. Find u such that 0 + q*u**3 + 2/3*u**2 + 0*u = 0.
-1, 0
Suppose -5*u = -745 + 730. Let 0 - 2*f**4 + 34/5*f**u + 8/5*f - 32/5*f**2 = 0. What is f?
0, 2/5, 1, 2
What is t in -1/4*t + 0 - 1/4*t**3 + 1/2*t**2 = 0?
0, 1
Let t = 22 - -9. Let y = t - 27. Find n, given that 7/5*n**3 - 2/5*n + 3/5*n**2 - n**5 - 3/5*n**y + 0 = 0.
-1, 0, 2/5, 1
Let g(i) = -2*i + 12. Let q be g(5). Let t(y) be the first derivative of 1/4*y**q + 1/12*y**3 - 1 + 1/4*y. Factor t(c).
(c + 1)**2/4
Let l(z) be the second derivative of -z**4/16 + z**3/8 + 6*z. Factor l(p).
-3*p*(p - 1)/4
Let l(m) = -m**2 + m - 62 + 62. Let j(y) be the first derivative of 4*y**3/3 - 2*y**2 - 1. Let n(s) = -4*j(s) - 18*l(s). Factor n(d).
2*d*(d - 1)
Factor -10*u**4 - 10*u**3 + 12*u**3 + 0*u**4 + 8*u**5.
2*u**3*(u - 1)*(4*u - 1)
Let q(t) = t**3 + 9*t**2 + t + 12. Let n be q(-9). Suppose 3*z - 4*a + 12 = 0, 0*z = 3*z - n*a + 9. Factor z*u - 2/3 + 2/3*u**2.
2*(u - 1)*(u + 1)/3
Let s(q) be the third derivative of -q**7/315 + 23*q**6/1800 - q**5/50 + q**4/8 + q**2. Let c(x) be the second derivative of s(x). Let c(k) = 0. Calculate k.
2/5, 3/4
Suppose 1/5*q**4 + 1/5*q + 1/5*q**5 - 2/5*q**2 - 2/5*q**3 + 1/5 = 0. What is q?
-1, 1
Let q(w) be the third derivative of w**6/720 - w**5/45 + 5*w**4/36 - 4*w**3/9 - 23*w**2. Factor q(s).
(s - 4)*(s - 2)**2/6
Let c be 1 - 24/(-560)*-10. Factor 1/7*x - c*x**2 + 4/7 - 1/7*x**3.
-(x - 1)*(x + 1)*(x + 4)/7
Let j(x) be the first derivative of x**6/3 - 4*x**5/5 + 4*x**3/3 - x**2 + 18. Solve j(n) = 0 for n.
-1, 0, 1
Suppose 4*r - 11 = -3. Factor -3*s**r - s**3 - s**5 + 2*s**4 + 3*s**2.
-s**3*(s - 1)**2
Let j = -986 + 986. Let 0 - 2/5*k + 24/5*k**3 - 32/5*k**4 + j*k**2 = 0. Calculate k.
-1/4, 0, 1/2
Let j(u) be the first derivative of u**9/2520 - u**8/420 + u**7/175 - u**6/150 + u**5/300 + u**3 + 2. Let a(t) be the third derivative of j(t). Factor a(m).
2*m*(m - 1)**3*(3*m - 1)/5
Suppose -4 = 5*y - 6*y. Let o be (-4)/10 + -3*(-4)/30. Let 0*x**2 + 0 - 4/5*x**3 + o*x - 2/5*x**y = 0. Calculate x.
-2, 0
Let m(n) = 2*n**2 + n - 2*n**3 + n**3 - n**2. Let v(w) = -4*w**3 - 2*w**2 - 5*w - 4. Let o(g) = 3*m(g) - v(g). Factor o(f).
(f + 1)*(f + 2)**2
Let n = -432896/6945 + -3/2315. Let v = 63 + n. What is f in v*f**3 - 8/3 - 10/3*f**2 + 16/3*f = 0?
1, 2
Let b(p) be the third derivative of 0*p**4 + 0*p**3 + 0*p**5 - 1/840*p**7 + 0*p + 2*p**2 + 1/480*p**6 + 0. Find g, given that b(g) = 0.
0, 1
Let n(b) be the second derivative of -5*b**7/42 - b**6/3 + 3*b**5/4 - 4*b. Let n(v) = 0. Calculate v.
-3, 0, 1
Let r(o) = -3*o**3 + 6*o**2 - 2*o - 2. Let k(q) = -6*q**3 + 12*q**2 - 5*q - 5. Let n(f) = 2*k(f) - 5*r(f). Solve n(l) = 0.
0, 2
Let k = -9 - -27. Let l(z) = -z**3 + z**2 - z + 1. Let c(y) = -8*y**3 + 14*y**2 - y + 13. Let j(f) = k*l(f) - 2*c(f). Factor j(v).
-2*(v + 1)*(v + 2)**2
Let o be (-3)/(-18)*26 + 1. Determine x, given that -10/3*x**3 - 8/3 + o*x + 14/3*x**2 = 0.
-1, 2/5, 2
Factor 3*q**5 + 10*q**5 + 4*q**5 + 3*q**4 - 4*q**2 - 16*q**5.
q**2*(q - 1)*(q + 2)**2
Let f = -30 + 31. Suppose 3 = 2*r - f. Factor 2/11*y + 0 - 2/11*y**r.
-2*y*(y - 1)/11
Let t(p) = -p**3 + 4*p**2 - 3*p + 3. Suppose -6 = -l - 3. Let y be t(l). What is g in -g**2 - g - 2*g + g**y + 2*g + 4*g**4 - 3*g**4 = 0?
-1, 0, 1
Let x be 1*(1 + 4) + -3. Determine c, given that x*c + 21*c**3 - 6 - 24*c**3 + 7*c = 0.
-2, 1
Factor -1/9*k**3 + 1/9*k + 1/9*k**2 - 1/9.
-(k - 1)**2*(k + 1)/9
Let s(g) be the second derivative of -g**8/6720 + g**7/1260 - g**4/6 + 3*g. Let y(h) be the third derivative of s(h). Suppose y(j) = 0. Calculate j.
0, 2
Let x be (4/(-14))/(-3*(-4)/(-28)). Determine f so that 1/3*f**5 + 1/3 + 1/3*f**4 - 2/3*f**3 + 1/3*f - x*f**2 = 0.
-1, 1
Let i = -95 + 65. Let b be (-4)/24 + (-17)/i. Factor 8/5*x**3 - 8/5*x**2 + 0*x + 0 - b*x**4.
-2*x**2*(x - 2)**2/5
Suppose -5*l + 11 + 9 = 0. Determine t, given that -l + 0 - 2 + 3*t - t**2 + 4 = 0.
1, 2
Let i(t) = -t + 9. Let v be i(10). Let y(q) = -2*q**3 + q**2 - 1. Let o be y(v). Factor -w**o + 5*w**2 - 2*w - 2*w**2.
2*w*(w - 1)
Let c(j) be the second derivative of j**5/100 - j**4/30 + j**3/30 - 5*j. Solve c(g) = 0 for g.
0, 1
Factor -4/3*l**3 - 16/3*l**4 - 7/3*l**5 + 0 + 0*l**2 + 0*l.
-l**3*(l + 2)*(7*l + 2)/3
Let u(l) be the third derivative of -l**5/75 + l**4/15 - 7*l**2. Factor u(z).
-4*z*(z - 2)/5
Factor 14*j**3 + j + 90 - 86 - 6*j**2 - 6*j**4 - 7*j.
-2*(j - 1)**3*(3*j + 2)
Find f, given that 0*f**3 - 5*f**2 + 5*f**2 + 4*f**3 = 0.
0
Let r be (-36)/16*(-2)/9. Let g(d) be the first derivative of r*d**2 + 1/5*d**5 - 3 + 0*d + 3/4*d**4 + d**3. Factor g(p).
p*(p + 1)**3
Let p(h) = 19*h**4 - 11*h**3 - 8*h**2 + 11*h. Let r(x) = -5*x**4 + 3*x**3 + 2*x**2 - 3*x. Let s(v) = -6*p(v) - 22*r(v). Determine y, given that s(y) = 0.
-1, 0, 1
Determine n so that -8/13*n - 20/13*n**2 + 2/13*n**3 + 48/13 + 2/13*n**4 = 0.
-3, -2, 2
Let f(r) be the first derivative of 2*r**3/3 + 10*r**2 - 3. Find i, given that f(i) = 0.
-10, 0
Let z(v) be the second derivative of 0*v**2 + 0 + 1/3*v**4 + 3*v + 0*v**3 + 1/10*v**5. Factor z(n).
2*n**2*(n + 2)
Let a(i) be the second derivative of 1/105*i**7 - 4/15*i**4 + 2/75*i**6 - 2/5*i**2 + 5*i - 1/25*i**5 - 7/15*i**3 + 0. Suppose a(u) = 0. What is u?
-1, 2
Let l = -278/5 - -56. Determine w so that 4/5*w - 2/5*w**2 - l = 0.
1
Let n(o) = o**3 + 12*o**2 + 12*o + 14. Let f be n(-11). Factor c**2 + c**4 + 0 + 3/2*c**f + 1/4*c + 1/4*c**5.
c*(c + 1)**4/4
Let q = 147 - 1321/9. Find v such that -q*v**2 + 4/9*v + 0 = 0.
0, 2
Let i be ((-4)/(-6))/((-2)/(-9)). Let d(j) be the first derivative of -8*j + 1 - 2/3*j**i + 4*j**2. Factor d(a).
-2*(a - 2)**2
Let w(r) be the third derivative of -r**6/60 + r**5/30 + r**4/6 - 36*r**2. Find j such that w(j) = 0.
-1, 0, 2
Let u(h) be the second derivative of -h**5/6 - h**4/3 + 4*h**3/5 - 8*h**2/15 - h. Factor u(f).
-2*(f + 2)*(5*f - 2)**2/15
Let k(z) be the first derivative of -2*z**3/57 + 9*z**2/19 + 18. Solve k(n) = 0.
0, 9
Suppose -10 = -4*j + 2*z, -j - z = -4*j + 5. Find p, given that 2/9*p - 2/9*p**3 + j - 2/9*p**2 + 2/9*p**4 = 0.
-1, 0, 1
Let u be (-16)/24 + (-20)/(-3). Suppose 10 = u*w - 4*w - f, -1 = w + f. Factor 2*s**4 + 3*s**w - 7*s**3 + 0*s**2 - 4*s**4 - 2*s**2.
-2*s**2