tor t(v).
2*v*(v + 1)**3*(v + 5)
Suppose -6*r + 16 = -2. Let v(j) be the first derivative of 0*j**r - 4 + 0*j**2 - 1/10*j**5 + 0*j + 0*j**4. Solve v(c) = 0.
0
Let b(z) = 4 + 5*z - 2*z - 4*z + z**2 + 2*z. Let o(y) = y**2 + 2*y + 5. Let k(j) = -4*b(j) + 5*o(j). Determine v so that k(v) = 0.
-3
Let j(h) be the first derivative of -3/2*h**2 - 2*h - 1 + 5/3*h**3. Factor j(a).
(a - 1)*(5*a + 2)
Let a(k) be the second derivative of -k**6/50 - 3*k**5/50 - k**4/20 - 3*k. Factor a(q).
-3*q**2*(q + 1)**2/5
Let p(g) = g**4 - g**3 - g**2 + g - 1. Let r(q) = 9*q**4 - 9*q**3 - 11*q**2 + 9*q - 6. Let v(l) = 24*p(l) - 3*r(l). Factor v(j).
-3*(j - 2)*(j - 1)*(j + 1)**2
Let y = -34 + 37. Let s(o) be the second derivative of 0*o**4 + 0 + 1/12*o**y + 0*o**2 + o - 1/40*o**5. Determine w so that s(w) = 0.
-1, 0, 1
Let z = 14 - 29. Let g(p) = -p**3 - 2*p**2 + p. Let d(c) = -6*c**3 - 15*c**2 + 6*c. Let h(f) = z*g(f) + 2*d(f). Factor h(l).
3*l*(l - 1)*(l + 1)
Suppose -16*q = -5*q - 22. Suppose -5*t = -t. Factor -4/9*d**4 - 2/9*d**q + 2/3*d**3 + t*d + 0.
-2*d**2*(d - 1)*(2*d - 1)/9
Let g(z) be the second derivative of 1/6*z**3 - 3*z - 1/20*z**5 - z**2 + 0 + 1/6*z**4. Factor g(r).
-(r - 2)*(r - 1)*(r + 1)
Let g(d) be the first derivative of -5 + 10/3*d**3 - 2*d**2 - 3/2*d**4 + 0*d. Let g(f) = 0. Calculate f.
0, 2/3, 1
Let q be 2 - (-4)/(5/((-20)/12)). Factor -1/3*f**4 + 0*f**2 + 1/3*f**5 + 0*f - q*f**3 + 0.
f**3*(f - 2)*(f + 1)/3
Let c(r) be the first derivative of -r**3/2 + 41*r**2/4 - 13*r + 33. Suppose c(v) = 0. Calculate v.
2/3, 13
Let n(p) be the first derivative of p**5/35 - 9*p**4/28 + 29*p**3/21 - 39*p**2/14 + 18*p/7 + 37. Find f such that n(f) = 0.
1, 2, 3
Let y(i) be the first derivative of 21*i**4/4 - 32*i**3 + 174*i**2/7 - 48*i/7 + 5. Let y(n) = 0. Calculate n.
2/7, 4
Let s(z) be the second derivative of 0 + 0*z**2 + 1/30*z**6 - 1/12*z**4 + 4*z - 1/10*z**5 + 1/3*z**3. What is y in s(y) = 0?
-1, 0, 1, 2
Let i(g) = 5*g**2 + 9*g - 4. Let r(y) = -11*y**2 - 19*y + 9. Let u(d) = -9*i(d) - 4*r(d). Let u(k) = 0. What is k?
-5, 0
Factor 13/11*g - 2/11*g**2 + 7/11.
-(g - 7)*(2*g + 1)/11
Suppose 0 - 1/7*t**4 + 2/7*t**3 - 1/7*t**2 + 0*t = 0. Calculate t.
0, 1
Let c(g) = 2*g**3. Let k(o) = o + 1 + 4*o**3 - 2*o**2 + o**2 - 2*o**3. Let t(m) = 3*c(m) - 2*k(m). Let t(w) = 0. Calculate w.
-1, 1
Let g be (-2)/((-1)/(2/(-4))). Let x = 1 - g. What is r in -3*r - 6*r + 5*r - 4 - r**x = 0?
-2
Let n = 13 + -9. Let -x**2 + x**4 + 0*x**n + 3*x**2 - 3*x**2 = 0. Calculate x.
-1, 0, 1
Let v be (-1960)/(-65) + 8/(-52). Let s be ((-25)/v)/((-15)/12). Factor -s - a**2 + 1/3*a**4 - 1/3*a**3 + 5/3*a.
(a - 1)**3*(a + 2)/3
Let v(c) be the first derivative of -c**3/3 + 5*c**2/2 + 8*c - 2. Let x be v(6). Suppose -3*d**2 + x*d**2 + 2*d**2 = 0. What is d?
0
Factor -1/3*a**3 + 4*a + 0 - 8/3*a**2 + 1/3*a**4.
a*(a - 2)**2*(a + 3)/3
Let h = 4 - 3. Suppose p - 3 = -h. Determine d, given that -2*d - 2/3 - 4/3*d**p = 0.
-1, -1/2
Let h(r) = 3*r**3 + 33*r**2 + 108*r - 3. Let m(n) = -9*n**3 - 100*n**2 - 324*n + 8. Let g(u) = -8*h(u) - 3*m(u). Factor g(w).
3*w*(w + 6)**2
Let n(f) be the first derivative of 1/3*f**3 - 1/480*f**6 - 3 + 0*f**2 + 0*f - 1/16*f**4 - 3/160*f**5. Let q(z) be the third derivative of n(z). Factor q(a).
-3*(a + 1)*(a + 2)/4
Determine b so that 8*b**4 + 2*b**2 + 6*b**2 + 12*b**3 - 4*b**4 = 0.
-2, -1, 0
Let g(k) be the second derivative of 0 + 0*k**2 + 1/3*k**3 + 0*k**4 + 1/60*k**5 + k - 1/360*k**6. Let i(d) be the second derivative of g(d). Factor i(s).
-s*(s - 2)
Let i(t) be the first derivative of 2 + 9/10*t**4 + 0*t**2 + 14/25*t**5 + 0*t + 4/15*t**3. Factor i(d).
2*d**2*(d + 1)*(7*d + 2)/5
Let m(c) be the second derivative of -3*c**5/5 - 4*c**4/3 - 2*c**3/3 - 41*c. What is j in m(j) = 0?
-1, -1/3, 0
Find j such that 0*j**2 + 0*j - 1/3*j**4 - 1/6*j**3 + 0 - 1/6*j**5 = 0.
-1, 0
Let w = 68 - 24. Let t(r) = 2*r**4 - 5*r**3 - 2*r**2 - r - 3. Let n(y) = 14*y**4 - 36*y**3 - 14*y**2 - 8*y - 22. Let o(j) = w*t(j) - 6*n(j). Factor o(b).
4*b*(b - 1)**2*(b + 1)
Let d = 3 - 3. Suppose 0 = -2*i + 2*u - u + 9, 4*i - u - 13 = d. Factor -3*b - b**5 - 3*b - 3*b + i*b**3 + 8*b.
-b*(b - 1)**2*(b + 1)**2
Let v(d) be the third derivative of d**6/540 - d**5/135 - d**4/36 + 10*d**2. Let v(a) = 0. What is a?
-1, 0, 3
Factor -1/2 + 0*c**2 + 1/2*c**4 + c**3 - c.
(c - 1)*(c + 1)**3/2
Suppose 0*x + x = -10. Let f = -7 - x. Suppose 27*w**3 - w**f - 12 + 109*w**3 - 24*w**2 - 243*w**4 + 99*w**2 - 36*w + 81*w**5 = 0. What is w?
-1/3, 2/3, 1, 2
Suppose 0 = -p + 2. Factor -3*t**3 + p*t**2 - 5*t**3 + 0*t**2 + t + 5*t.
-2*t*(t - 1)*(4*t + 3)
Let z(r) = r**2 + 2*r - 77. Let m be z(8). Factor 0 - 3/4*t**m - 1/2*t**4 - 1/4*t**2 + 0*t.
-t**2*(t + 1)*(2*t + 1)/4
Suppose -31 = -5*s - 1. Suppose 2*o + 6 = 4*o. Factor -s*n**5 - 2*n**3 + o*n**5 - 2*n**4 - n**3 - 4*n**4.
-3*n**3*(n + 1)**2
Let s(o) be the second derivative of o**7/42 - o**6/15 - o**5/10 + 2*o**4/3 - 7*o**3/6 + o**2 - 7*o. Factor s(k).
(k - 1)**4*(k + 2)
Suppose -s + 10 = -2*a, -s - 5*a = -3*s + 24. Let j(r) be the second derivative of -1/3*r**3 - 2*r**s + 0 - 3*r + 1/6*r**4. Factor j(p).
2*(p - 2)*(p + 1)
Let c(r) be the second derivative of r**5/220 + r**4/132 - 5*r**3/66 + 3*r**2/22 - 29*r. Determine p so that c(p) = 0.
-3, 1
Factor 2/5*f**2 - 2/5*f**4 + 0 - 2/5*f**3 + 2/5*f.
-2*f*(f - 1)*(f + 1)**2/5
Let k(n) be the first derivative of -n**4/48 - n**3/12 + 2*n + 2. Let v(j) be the first derivative of k(j). Let v(y) = 0. What is y?
-2, 0
Factor 15*n**3 - 2*n**4 - 64 + 32*n + n**4 - 19*n**3 + 12*n**2.
-(n - 2)**2*(n + 4)**2
Let d(t) be the third derivative of t**5/180 + t**4/12 + t**3/2 + 6*t**2. Factor d(a).
(a + 3)**2/3
Let c(i) be the first derivative of i**7/735 - i**5/70 - i**4/42 - i**2 - 1. Let x(j) be the second derivative of c(j). Factor x(w).
2*w*(w - 2)*(w + 1)**2/7
Factor -2/9*y**4 + 0*y**2 + 0*y**3 + 0*y - 2/9*y**5 + 0.
-2*y**4*(y + 1)/9
Let u(w) be the first derivative of w**5/3 - 7*w**4/12 + 2*w**3/9 - 13. Determine y so that u(y) = 0.
0, 2/5, 1
Suppose 3*z - 3 = 5*v - 8, 0 = 5*z - 4*v + 4. Let o be 0/(-1 + z) - -3. Factor 0 - 2/7*f**2 + 0*f + 6/7*f**o.
2*f**2*(3*f - 1)/7
Let z = 1415/3 + -471. Suppose -2/3*w**2 + 0*w + z = 0. Calculate w.
-1, 1
Let w(i) be the second derivative of -3*i**2 + 0 + 1/4*i**4 - 4*i + 1/2*i**3. Factor w(m).
3*(m - 1)*(m + 2)
Let g(k) = 23*k**3 + 76*k**2 + 32*k - 16. Let p(w) = -22*w**3 - 76*w**2 - 32*w + 16. Let i(a) = -6*g(a) - 5*p(a). Factor i(v).
-4*(v + 1)*(v + 2)*(7*v - 2)
Let d(j) = -8*j**3 - 1 + 4*j**3 + 17*j**2 - 3*j**2 - 5*j - 5*j**3. Let f(g) = -g**3 + g + 1. Let i(v) = d(v) + f(v). Solve i(k) = 0.
0, 2/5, 1
Suppose 0*a + 14 = 5*a - 2*s, -5*s - 10 = 0. Let p be ((-8)/(-6))/(1*a). Suppose -2/3*n - p*n**2 + 0 = 0. What is n?
-1, 0
Suppose -y**2 + 15 + 4 - 24*y + 5*y**2 + 17 = 0. Calculate y.
3
Factor 2/3*t**2 + 0 - 2/9*t**3 - 4/9*t.
-2*t*(t - 2)*(t - 1)/9
Let p(k) be the second derivative of k**6/45 - k**5/15 - k**4/18 + 2*k**3/9 + 22*k. Factor p(s).
2*s*(s - 2)*(s - 1)*(s + 1)/3
Solve 52*m**2 + 25*m + 3 + 2 - 32*m**2 = 0.
-1, -1/4
Find b, given that 11*b**3 + 3*b**2 - 6 - 98*b + 33*b**2 + 10*b**3 + 107*b = 0.
-1, 2/7
Solve -1/4*d**2 - d - 1 = 0 for d.
-2
Let k = 13 - 14. Let u be ((-4)/(-18))/(k/(-6)). Determine h so that -2*h**2 + u - 2/3*h = 0.
-1, 2/3
Let m be 756/140 + 5*-1. Let 2/5*z**2 - m*z - 2/5 + 2/5*z**3 = 0. Calculate z.
-1, 1
Let u(r) be the second derivative of 0 - 1/2*r**3 - r**2 + 3*r - 1/12*r**4. Factor u(g).
-(g + 1)*(g + 2)
Suppose 0 = -9*o - 5*o + 70. Factor -4/3*y**3 + 2/3*y + 2/3*y**o + 0*y**4 + 0 + 0*y**2.
2*y*(y - 1)**2*(y + 1)**2/3
Let w(u) be the second derivative of -2/105*u**7 + 0*u**3 + 3*u - 2/25*u**5 - 1/30*u**4 + 0 + 0*u**2 - 1/15*u**6. Factor w(v).
-2*v**2*(v + 1)**2*(2*v + 1)/5
Let f(i) be the third derivative of 0 + i**2 + 1/3*i**3 - 1/60*i**5 - 1/24*i**4 + 0*i. Let f(k) = 0. Calculate k.
-2, 1
Suppose 3 = -2*r - p, 3*p + 6 = 2*r + p. Let k(v) be the second derivative of 1/3*v**3 + v - 1/4*v**2 + r - 1/8*v**4. Solve k(f) = 0 for f.
1/3, 1
Let g(m) be the third derivative of m**6/420 + m**5/105 + m**4/84 + 21*m**2. Find b such that g(b) = 0.
-1, 0
Factor 3/2*i**3 + 15/2*i**2 + 0 - 9*i.
3*i*(i - 1)*(i + 6)/2
Let r(p) = p**3 + 7*p**2 - 2*p + 1. Let m be r(-7). Let y be (5/m)/(