u**j + 8*u**2 + 0 - 1 - u + u**3.
(u - 1)*(u + 1)**2
Factor 2*h**3 + 0*h**3 + 1 + 1 + 3*h**2 + 3*h**2 + 6*h.
2*(h + 1)**3
Let x(n) = 23*n**2 + 6*n - 2. Let r(w) = w**2 - 1. Let t(b) = 2*r(b) - x(b). Factor t(o).
-3*o*(7*o + 2)
Let g be (18/(-10))/(1/(-5)). Factor 5*s**2 + 0 + 2 + 4 - g*s - 2*s**2.
3*(s - 2)*(s - 1)
Let f be 0/(-6) + (1 - -2). Let n(m) be the second derivative of 1/10*m**5 + 0*m**f + 0*m**2 + 0*m**4 + 0 + m. Let n(l) = 0. What is l?
0
Factor -4*s**2 - 4*s + 0*s**4 + 2*s**4 + 4*s**3 - s**2 + 3*s**2.
2*s*(s - 1)*(s + 1)*(s + 2)
Suppose 4*m - 6*c - 1084 = -3*c, 5*m - 1328 = -3*c. Let s = m + -2946/11. What is x in -s*x**3 - 2/11*x**2 + 2/11*x + 2/11 = 0?
-1, 1
Let g(v) be the third derivative of v**3 + 0 - 1/8*v**4 - 1/20*v**5 + 0*v + 4*v**2. Factor g(q).
-3*(q - 1)*(q + 2)
Let s(j) be the second derivative of -j**7/63 + j**6/15 - j**5/15 - j**4/9 + j**3/3 - j**2/3 + 6*j. What is q in s(q) = 0?
-1, 1
Let w(u) be the third derivative of u**5/40 - 7*u**4/48 + u**3/6 - 57*u**2. Factor w(r).
(r - 2)*(3*r - 1)/2
Let d(g) = 2*g**2 - 2*g**2 - g + g**3 - g**2 + 0*g**3. Let q(p) = -7*p**3 + 11*p**2 - p + 2. Let v(s) = -5*d(s) - q(s). Find y, given that v(y) = 0.
1
Let y be ((-24)/(-10) + -1)*5. Let h(x) = x**3 - 6*x**2 - 5*x - 8. Let s be h(y). Factor 1/2 + m - s*m**3 - 11/2*m**2.
-(m + 1)*(3*m - 1)*(4*m + 1)/2
Let r = -567 + 567. Factor -2/7*i + 0*i**4 - 2/7*i**5 + 0 + 4/7*i**3 + r*i**2.
-2*i*(i - 1)**2*(i + 1)**2/7
Determine n, given that 2*n**3 + 0*n**3 + 2*n**5 + n**5 + n**3 + 9*n**4 - 9*n**2 - 6*n = 0.
-2, -1, 0, 1
Let l = -22 - -22. Solve -2/5 + 2/5*w**2 + l*w = 0 for w.
-1, 1
Let a(l) be the first derivative of -l**7/840 - l**6/540 + l**5/360 + l**3/3 - 2. Let s(b) be the third derivative of a(b). Factor s(v).
-v*(v + 1)*(3*v - 1)/3
Let t(p) be the second derivative of p**4/150 + p**3/5 - 16*p**2/25 - 73*p. Let t(q) = 0. What is q?
-16, 1
Suppose 0 = 5*k - 2*k + 2*x + 4, x + 5 = 0. Factor -31*w**k + 2*w**4 - 3*w**3 + w**4 + 28*w**2 + 3*w.
3*w*(w - 1)**2*(w + 1)
Let k(y) be the first derivative of 3 - 2/11*y**2 - 5/22*y**4 + 0*y - 14/33*y**3. Find t such that k(t) = 0.
-1, -2/5, 0
Suppose -6 = 3*x, -4*x = -3*q + 9 - 4. Let u be 0 + 0 + q + 3. Let 5/2*b**5 - 3/2*b**u - 7/2*b**3 + b + 0 + 3/2*b**4 = 0. What is b?
-1, 0, 2/5, 1
Let i be (-5296)/(-63) - (-2)/9. Let t = i - 84. Find q, given that -6/7*q**3 + 6/7*q**2 - 2/7*q + t*q**4 + 0 = 0.
0, 1
Let r be 1/(-4) + 2/(-16)*-42. Find m such that 0*m - 3/5*m**4 - 3/5*m**r + 0*m**3 + 0 + 0*m**2 = 0.
-1, 0
Suppose 3*o = 7*o + 8. Let c be 192/108 + o/(-9). Factor 0 + 1/3*v + 1/3*v**c.
v*(v + 1)/3
Suppose 4*g = 5*x - 4, g - 2*x + 3 = -1. Determine i, given that 0*i + 1/4*i**3 + 0*i**2 + 1/2*i**g + 1/4*i**5 + 0 = 0.
-1, 0
Let j(c) be the first derivative of -44*c**5/5 + 46*c**4 - 84*c**3 + 64*c**2 - 16*c - 32. Let j(q) = 0. What is q?
2/11, 1, 2
Let t(x) be the second derivative of x**4/24 - x**3/4 + 7*x. Determine a so that t(a) = 0.
0, 3
Let s be (-1379)/700 - (-2 - 0). Let v = s + 37/100. Factor -v*l**2 - 4/5 + 6/5*l.
-2*(l - 2)*(l - 1)/5
Let a = 824/1245 - -2/415. Suppose -3*m + 2*i = -23, 6 = -0*m + 2*m + i. Determine k, given that 0*k + 1/3*k**3 + 0*k**2 + 0 + 1/3*k**m + a*k**4 = 0.
-1, 0
Factor -2/7*p**4 - 192/7*p**2 + 512/7*p - 512/7 + 32/7*p**3.
-2*(p - 4)**4/7
Suppose 0 = -w + 3*y + 11, -w - 2*y = -7*y - 17. Factor 0*c**2 + 6*c**2 - w*c**2 - c**2 + 3 + 6*c.
3*(c + 1)**2
Let x(j) be the second derivative of 3*j**5/140 - j**4/7 + 5*j**3/14 - 3*j**2/7 - j. Let x(t) = 0. Calculate t.
1, 2
Let p(w) be the first derivative of 2*w**3/9 + 4*w**2/3 + 8*w/3 - 10. Determine m, given that p(m) = 0.
-2
Let c(d) be the second derivative of d**4/3 - 16*d**3/3 + 32*d**2 + 11*d. Factor c(n).
4*(n - 4)**2
Let m be (10/4)/(-15*3/(-9)). Factor 0 + 2*n**3 + 3/2*n**2 - m*n.
n*(n + 1)*(4*n - 1)/2
Let r be (-84)/(-462)*(10/1 - -1). Factor 4/7*z**3 + 0*z**r + 0 + 0*z.
4*z**3/7
Suppose 0 = -f + 3*f - 2. Let q(b) = -3*b**2 + b**2 - 1 + 5*b**2 - 2*b**2. Let l(h) = 20*h**2 + 16*h + 14. Let p(g) = f*l(g) + 12*q(g). Factor p(k).
2*(4*k + 1)**2
Let i(t) be the third derivative of t**6/24 + t**5/4 + 28*t**2 - 1. Factor i(x).
5*x**2*(x + 3)
Suppose 7 = 2*u - w, 1 = 3*w - 8. Let y(q) be the third derivative of 0*q**3 + 1/60*q**u + 0 + 0*q**4 - q**2 + 0*q. What is d in y(d) = 0?
0
Factor 0 - 3/4*z**2 - 3/4*z.
-3*z*(z + 1)/4
Suppose -2*p = -0 - 18. Suppose 0 = 5*v - c - 15, -p = -2*v - v - 4*c. Let -2/3*y - 4/3*y**4 + 2/3*y**5 + 0 + 4/3*y**2 + 0*y**v = 0. What is y?
-1, 0, 1
Let b(u) = 36*u**3 + 49*u**2 + 13*u - 11. Let h(s) = -12*s**3 - 16*s**2 - 4*s + 4. Let g(n) = 4*b(n) + 11*h(n). Factor g(j).
4*j*(j + 1)*(3*j + 2)
Factor -2/23*p - 2/23*p**3 + 0 - 4/23*p**2.
-2*p*(p + 1)**2/23
Let b = -14 + 17. Factor -b*f**2 - 10 + f**3 + 10 + 4*f**2.
f**2*(f + 1)
Let k(m) be the first derivative of -m**3/18 - 2*m**2/3 - 8*m/3 - 6. Find u, given that k(u) = 0.
-4
Find c such that 2*c**5 + 0*c - 1/2*c**2 + 3*c**3 - 9/2*c**4 + 0 = 0.
0, 1/4, 1
Suppose i = -0*i + 6. Let -2*o**3 + i*o**2 + 0*o**2 - o**3 = 0. Calculate o.
0, 2
Let v(g) be the first derivative of -5 - 2/5*g**3 - 2/5*g - 4/5*g**2. Determine a, given that v(a) = 0.
-1, -1/3
Let m(o) be the second derivative of 4*o**7/21 + 14*o**6/15 + 6*o**5/5 - o**4/3 - 4*o**3/3 + 11*o. Let m(h) = 0. What is h?
-2, -1, 0, 1/2
Let t(p) be the second derivative of 1/4*p**4 - 2*p + 0 + 0*p**2 + 1/3*p**3 + 1/20*p**5. Factor t(f).
f*(f + 1)*(f + 2)
Let a(l) be the first derivative of 19*l**3 - 51*l**2/2 - 6*l + 13. Factor a(w).
3*(w - 1)*(19*w + 2)
Let h(l) = -3*l**2 + 3*l + 6. Let g be h(4). Let w be 33/g + (-6)/(-4). Find v such that -w*v**3 + 0 + 2/5*v**5 - 2/5*v**2 + 0*v + 2/5*v**4 = 0.
-1, 0, 1
Let p = -15067/25 + 603. Let y(x) be the first derivative of 0*x + p*x**5 - 2 + 0*x**4 + 1/5*x**2 - 2/5*x**3. Factor y(r).
2*r*(r + 1)*(2*r - 1)**2/5
Let p(m) be the third derivative of 0*m**5 + 0 + 0*m**4 + 0*m**3 + 1/70*m**7 + 0*m**6 + 0*m + 3*m**2. Solve p(z) = 0.
0
Let i(n) be the first derivative of -2*n**5/15 - 5*n**4/6 - 2*n**3/3 + 3*n**2 + 21. Factor i(y).
-2*y*(y - 1)*(y + 3)**2/3
Let s(i) = i**2 - 4*i - 8. Let d be s(7). Let z = d + -10. Find u such that 0 + 12/5*u**4 + 12/5*u**2 - 3/5*u - 18/5*u**z - 3/5*u**5 = 0.
0, 1
Suppose v - 19 = -7. Let o(j) = j**3 - 12*j**2 - j + 15. Let h be o(v). Factor -1/2*k**h + 0 - 1/4*k**2 + 0*k - 1/4*k**4.
-k**2*(k + 1)**2/4
Let p = 397/36 - 37/4. Let x(y) be the first derivative of -2/45*y**5 - 5/18*y**4 + p*y + 1 + 4/9*y**2 - 4/9*y**3. Find z, given that x(z) = 0.
-2, 1
Suppose 2 = l - 0*l. Let z(b) = 4*b - 5. Let v be z(l). Let 2/7*n**2 + 4/7*n - 6/7*n**v + 0 = 0. Calculate n.
-2/3, 0, 1
Let o(r) be the third derivative of r**6/300 - 10*r**2. Solve o(x) = 0.
0
Let h(a) = -a**2 - 13*a + 4. Let x(y) = -y + 1. Let c(w) = 3*h(w) - 24*x(w). Factor c(d).
-3*(d + 1)*(d + 4)
Let v(l) be the third derivative of -1/660*l**6 + 1/132*l**4 + l**2 + 1/330*l**5 - 1/33*l**3 + 0*l + 0. Factor v(f).
-2*(f - 1)**2*(f + 1)/11
Let n(z) be the first derivative of z**7/42 + z**6/10 + 3*z**5/20 + z**4/12 + z - 2. Let i(h) be the first derivative of n(h). Factor i(a).
a**2*(a + 1)**3
Let 18*l**5 + 17*l**5 - 105*l**3 + 26*l + 40*l**2 - 3*l - 3*l + 10*l**4 = 0. Calculate l.
-2, -2/7, 0, 1
Let o(m) = 4*m**2 - 2*m**3 + 7*m**3 - 3*m + 0 - 3. Let y(k) = 26*k**3 + 20*k**2 - 16*k - 16. Let c(w) = 16*o(w) - 3*y(w). Suppose c(t) = 0. Calculate t.
-2, 0
Let k(m) be the third derivative of 0*m**4 + 0 - 1/105*m**7 + 0*m + 0*m**3 + 2*m**2 + 1/360*m**6 + 1/112*m**8 + 0*m**5. Factor k(g).
g**3*(3*g - 1)**2/3
Let i = -76 + 155/2. Let y(a) = -4*a**2 - 6*a. Let v be y(-1). Factor -v*m**2 + 1/2 - i*m.
-(m + 1)*(4*m - 1)/2
Let l be (-12)/4 - 1*-63. Let f be 3*(-1 - (-68)/l). What is i in 0 + 0*i - f*i**2 = 0?
0
Factor 3*u**2 + 6*u - 13*u + u.
3*u*(u - 2)
Let n(g) be the third derivative of g**6/40 - g**4/8 + 10*g**2. Factor n(r).
3*r*(r - 1)*(r + 1)
Let c(k) be the third derivative of 19/120*k**5 + 13/240*k**6 + 4*k**2 + 0*k + 1/3*k**3 - 5/12*k**4 + 1/96*k**8 + 0 - 23/420*k**7. Let c(u) = 0. Calculate u.
-1, 2/7, 1, 2
Let i(l) be the second derivative of -l**6/360 - l**5/120 + l**4/12 - l**3/2 + 3*l. Let x(y) be the second derivative of i(y). Suppose x(m) = 0. Calculate m.
-2, 1
Suppose -3*v = 