Factor y(r).
r**2*(r - 1)*(r + 1)/2
Let m(x) = x**3 - 4*x**2 - 5*x + 2. Let g be m(5). Suppose -2*d = -2*z + 2, g = -z + 7. Determine v so that -3*v**3 - v - d*v**3 + 8*v**3 = 0.
-1, 0, 1
Suppose 5*t = -9 + 39. Let b(y) be the first derivative of 1/5*y - 2/15*y**3 + 1/25*y**5 - 1/5*y**4 - 2 + 1/5*y**2 + 1/15*y**t. Let b(p) = 0. What is p?
-1, -1/2, 1
Let z(r) = -r**2 + 6*r - 2. Suppose -m - 3*m + 20 = 0. Let l be z(m). Factor -b**2 + l*b**2 + 4*b - 2*b**4 + b**5 - 5*b.
b*(b - 1)**3*(b + 1)
Let v(a) be the first derivative of 4*a**5 + 15*a**4/2 + 15*a**3/4 + 5*a**2/8 + 6. Suppose v(h) = 0. What is h?
-1, -1/4, 0
Let w(s) be the second derivative of 1/5*s**5 - 7/18*s**3 + 7*s - 7/36*s**4 + 1/3*s**2 + 0. Factor w(o).
(o - 1)*(3*o + 2)*(4*o - 1)/3
Let s = 6 + -1. Let m(v) = 7*v**2 + 7 + 5*v + 9*v - 4*v**3 + 9*v**3. Let z(p) = p**2 - p - 1. Let c(o) = s*z(o) + m(o). Factor c(x).
(x + 1)**2*(5*x + 2)
Suppose -b - 7 = -2*f, 7 - 36 = -3*b - 4*f. Let z**3 + 1 - 2*z**5 - 4*z**4 + 8*z + 3*z**b + 16*z**2 + 6*z + 3 = 0. Calculate z.
-1, 2
Suppose 246 - 2*f - 4*f**2 - 246 - 2*f**3 = 0. Calculate f.
-1, 0
Let w be (40/(-6))/(-5) + (-8)/(-6). Factor -10/3*m - 4/3 - w*m**2 - 2/3*m**3.
-2*(m + 1)**2*(m + 2)/3
Let z = 16 - 11. Suppose z*r = 17 + 3. Solve 2/5*m**2 + 2/5*m + 0 - 2/5*m**3 - 2/5*m**r = 0 for m.
-1, 0, 1
Let a = -16 - -49/3. Factor 0 - a*w**2 - 1/3*w**4 + 2/3*w**3 + 0*w.
-w**2*(w - 1)**2/3
Let g(n) = 16*n**3 - 24*n**2 + 8. Let y(i) = -i**3 + i**2 + i - 1. Let q(x) = -2*g(x) - 28*y(x). Let q(l) = 0. Calculate l.
1, 3
Suppose 0 = -4*j + 17 - 9. Let k(a) be the first derivative of 1/9*a**j - 4/45*a**5 - 1 + 0*a + 0*a**4 - 1/27*a**6 + 4/27*a**3. Let k(d) = 0. What is d?
-1, 0, 1
Let f(t) be the third derivative of t**5/75 - 4*t**4/15 + 32*t**3/15 + 13*t**2. Find c, given that f(c) = 0.
4
Let p be (-1 - (-200)/112) + (-4)/14. Determine t so that -p*t - 1/2 + 1/2*t**2 + 1/2*t**3 = 0.
-1, 1
Let o(g) be the third derivative of g**6/120 - g**5/12 + g**4/12 - 7*g**3/6 + 2*g**2. Let p be o(5). Factor -3/2*t**p - 1/4*t - 1/4*t**5 + t**4 + t**2 + 0.
-t*(t - 1)**4/4
Let j(h) = 2*h**3 + 18*h**2 + 24*h + 8. Let i(w) = -2*w**3 - 19*w**2 - 25*w - 8. Let q(k) = 6*i(k) + 7*j(k). Suppose q(v) = 0. Calculate v.
-4, -1
Let v(q) be the first derivative of q**6/30 + q**5/40 - q**4/24 - 2*q + 2. Let j(n) be the first derivative of v(n). Factor j(w).
w**2*(w + 1)*(2*w - 1)/2
Let w(b) be the third derivative of -b**7/420 - b**6/120 + b**4/24 + b**3/12 + 4*b**2. Factor w(d).
-(d - 1)*(d + 1)**3/2
Let w = -6 - -8. Let c = 1028/9 + -114. Factor c - 2/9*r**w + 0*r.
-2*(r - 1)*(r + 1)/9
Let j = 52 - 52. Let a(s) be the first derivative of -8/35*s**5 + 1/2*s**4 + 0*s + j*s**2 + 4/21*s**3 - 1. Solve a(i) = 0 for i.
-1/4, 0, 2
Let b be (1 - 2)*(-4 - 236/(-60)). Let k(p) be the second derivative of 2*p + 0 + 1/5*p**2 - 1/50*p**5 + b*p**3 - 1/30*p**4. Suppose k(u) = 0. Calculate u.
-1, 1
Let p(d) = d**3 - 8*d**2 + 9*d - 12. Let y be p(7). Let m(i) be the first derivative of y - i + 2*i**2 + 1/3*i**3 - i**4. Factor m(u).
-(u - 1)*(u + 1)*(4*u - 1)
Factor -6*c**2 + c**4 + 3*c**2 + 2*c + 4*c**4 - 2*c**4 - 2*c**3.
c*(c - 1)*(c + 1)*(3*c - 2)
Let d(q) be the first derivative of -3 - 1/6*q**3 + 3/2*q**2 - 9/2*q. Determine p, given that d(p) = 0.
3
Factor 1/2 - 1/2*t**2 + 0*t.
-(t - 1)*(t + 1)/2
Let f(p) = p**2 - 5 + 2*p + 5 + 4 + p. Let b be f(-3). Factor -2/11*l**b - 12/11*l**2 - 2/11 + 8/11*l**3 + 8/11*l.
-2*(l - 1)**4/11
Solve -4/13*h**2 - 2/13*h + 2/13*h**5 + 0*h**3 + 0 + 4/13*h**4 = 0 for h.
-1, 0, 1
Let l(k) be the first derivative of 1/2*k**2 - 1/210*k**5 + 1 + 0*k + 0*k**3 + 0*k**4. Let w(s) be the second derivative of l(s). Suppose w(d) = 0. Calculate d.
0
Let b(n) be the first derivative of 4*n**3/3 - 2*n**2 + 5. Factor b(v).
4*v*(v - 1)
Let k(l) be the third derivative of l**8/140 + 17*l**7/525 - l**6/60 - l**5/5 + l**4/15 + 8*l**3/15 + 4*l**2. Let k(v) = 0. What is v?
-2, -1/2, 2/3, 1
Let c be (1 + (-9)/5)*5 - -6. Let v(u) be the second derivative of c*u + 0 + 1/54*u**4 - 1/27*u**3 - 1/9*u**2 + 1/90*u**5. Let v(f) = 0. Calculate f.
-1, 1
Let u(p) be the first derivative of p**3/2 + 3*p**2/2 + 3*p/2 - 8. Suppose u(v) = 0. What is v?
-1
Solve 2/3*r**2 - 2/9*r**3 - 2/3 + 2/9*r = 0.
-1, 1, 3
Let l = 8 + -6. Solve b**l + 17*b**2 - 5*b + 4 + 27*b = 0.
-1, -2/9
Let l(q) be the third derivative of q**8/1680 - q**7/525 - q**6/600 + q**5/150 - 14*q**2. Factor l(t).
t**2*(t - 2)*(t - 1)*(t + 1)/5
Let g(x) be the second derivative of -x**7/105 - x**6/25 - x**5/25 + 16*x. Find a, given that g(a) = 0.
-2, -1, 0
Let q = -30 - -34. Let c(s) be the second derivative of 1/6*s**3 + 1/60*s**5 + 0 - 3*s - 1/6*s**2 - 1/12*s**q. Factor c(x).
(x - 1)**3/3
Suppose -2*b - 5*s = 0, 2*b + 18 = s + 3*s. Let g(v) = -4. Let p(t) = t**3 + t**2 - t + 9. Let d(c) = b*g(c) - 2*p(c). Factor d(y).
-2*(y - 1)*(y + 1)**2
Suppose -21 = 2*l + 5*g, l + 3*l - 28 = 4*g. Find y, given that -y**4 - 9*y**5 - 3*y**4 + 6*y**5 - y - 4*y**l + 2*y**5 - 6*y**3 = 0.
-1, 0
Let x(g) be the second derivative of -g**7/315 + g**6/90 - g**5/90 + g**2/2 - 2*g. Let u(n) be the first derivative of x(n). What is y in u(y) = 0?
0, 1
Let p be (-4)/(-14) - 19/(-7). Suppose 13*j**3 - j**4 + 4*j**4 - 3*j**2 - 2*j - 2*j**p - 9*j**5 = 0. Calculate j.
-1, -1/3, 0, 2/3, 1
Let f(t) = -4*t + 1. Let j be f(-1). Suppose -3*m - 2*a + 1 = 2, j*m - 5*a - 40 = 0. Find l such that -10*l**2 + 2 - m*l + 9*l + 2 = 0.
-2/5, 1
Let h(i) be the second derivative of -i**7/735 - i**6/420 + i**5/210 + i**4/84 + 2*i**2 - i. Let r(u) be the first derivative of h(u). Factor r(k).
-2*k*(k - 1)*(k + 1)**2/7
Let o(x) = -x**2 + 23*x - 86. Let r be o(18). Determine v, given that 0 - 3/5*v**3 + 1/5*v**5 - 2/5*v - v**2 + 1/5*v**r = 0.
-1, 0, 2
Let x be (-2)/6 + (-52)/6. Let q = 13 + x. Let j**q + j**4 + 0*j**4 - 4*j - 6*j**2 = 0. Calculate j.
-1, 0, 2
Let b = 42 + -39. Let 0 + 8/5*c**2 - 2/5*c - 6/5*c**b = 0. What is c?
0, 1/3, 1
Let l(i) = -i**2 + 29*i - 78. Let m be l(26). Factor -3/7*s**3 + 0*s**2 + 0 + 3/7*s**5 + m*s**4 + 0*s.
3*s**3*(s - 1)*(s + 1)/7
Suppose 4*a = -0*a + 12. Let x = -1 + 1. Suppose -4*l**4 + l**3 + x*l**a + 3*l**4 = 0. What is l?
0, 1
Let 2/11*j**2 + 0 - 2/11*j**3 + 0*j = 0. Calculate j.
0, 1
Solve -c**3 - 4*c**2 - 14*c - 8 + c**3 - 2*c**3 + 4*c**3 = 0 for c.
-1, 4
Let c = -3 - -5. Suppose -c*p - 3*p + 20 = 0. Factor p*o**2 + 8*o + 16/3 + 2/3*o**3.
2*(o + 2)**3/3
Suppose 0 = 3*n - 5*n + 8. Factor -5*m**4 + 17*m**3 - 7*m**4 - 12*m**2 + m**3 + 4*m**n + 2*m.
-2*m*(m - 1)**2*(4*m - 1)
Suppose -5*i + 7*i = 4. Let c be (i/30)/((-3)/(-36)). Factor -2/5*m**2 - c - 6/5*m.
-2*(m + 1)*(m + 2)/5
Factor -d**2 - 2*d**2 + 98*d**3 - 3*d + 3*d**4 - 95*d**3.
3*d*(d - 1)*(d + 1)**2
Solve 3/7*f - 3/7*f**2 + 6/7 = 0 for f.
-1, 2
Let y = -36 - -39. Let b(f) be the second derivative of -1/8*f**y + 0 + 2*f + 3/80*f**5 + 0*f**2 + 0*f**4. Factor b(p).
3*p*(p - 1)*(p + 1)/4
Let m(p) be the first derivative of -p**7/147 + 4*p**6/105 - p**5/14 + p**4/21 + 3*p - 3. Let d(j) be the first derivative of m(j). Factor d(k).
-2*k**2*(k - 2)*(k - 1)**2/7
Let k(i) be the third derivative of -1/30*i**4 - i**2 + 0*i**3 + 1/150*i**5 + 0*i + 0. Find g, given that k(g) = 0.
0, 2
Suppose 0 = 9*k - 18*k. Suppose 4/9*o**2 + 0 - 4/9*o**4 + k*o**3 - 2/9*o + 2/9*o**5 = 0. Calculate o.
-1, 0, 1
Suppose -10*j - 2 = -2. Factor 0*v + j - 2/3*v**3 - 2/3*v**2.
-2*v**2*(v + 1)/3
Determine y, given that -2/5*y**2 - 24/5*y - 72/5 = 0.
-6
Let t be 1/(2*(-4)/(-104)). Suppose 9*i = t*i. Factor 0 + 1/6*w**2 + 0*w**3 + i*w - 1/6*w**4.
-w**2*(w - 1)*(w + 1)/6
Let t(z) = z**5 + z**3 - z**2 - z. Let a(u) = -4*u**5 + 2*u**4 - 8*u**3 + 4*u**2 + 6*u. Let k(h) = -a(h) - 6*t(h). Factor k(g).
-2*g**2*(g - 1)*(g + 1)**2
Suppose 2/7*v**3 + 0 + 2/7*v + 4/7*v**2 = 0. Calculate v.
-1, 0
Let p(z) be the third derivative of z**8/25200 - z**7/12600 + z**5/12 - 4*z**2. Let i(b) be the third derivative of p(b). Factor i(j).
2*j*(2*j - 1)/5
Let i(g) = -g + 16. Let k be i(14). Let 1/3*s**k - 1/3*s**4 - 1/3*s + 0 + 1/3*s**3 = 0. Calculate s.
-1, 0, 1
Let y = 366/7 - 52. Determine o, given that y*o - 2/7*o**3 + 0 + 0*o**2 = 0.
-1, 0, 1
Find s, given that -224*s + 144 + 0*s**2 + 4*s**2 + 272*s = 0.
-6
Let o(v) be the third derivative of v**