- 1)**2*(3*l + 2)
Let b = -529 + 1061/2. Find p such that -9/2*p + b*p**2 + 3 = 0.
1, 2
Let g(m) be the first derivative of -1/7*m**2 - 2/21*m**3 + 0*m + 2. Determine z, given that g(z) = 0.
-1, 0
Let z(a) be the third derivative of a**6/240 + a**5/48 - a**4/24 - a**3/6 + 4*a**2. Let u(x) be the first derivative of z(x). Let u(m) = 0. Calculate m.
-2, 1/3
Factor -12/17 + 2/17*g + 2/17*g**2.
2*(g - 2)*(g + 3)/17
Let w(o) be the third derivative of -1/60*o**5 + 1/210*o**7 - 1/36*o**4 + 1/180*o**6 + 0*o - 2*o**2 + 0*o**3 + 0. Factor w(m).
m*(m - 1)*(m + 1)*(3*m + 2)/3
Let r(p) be the first derivative of 2*p**3/3 - 11*p**2/5 + 4*p/5 - 72. Factor r(j).
2*(j - 2)*(5*j - 1)/5
Let s = -24 - -49/2. Let y(u) be the first derivative of -s*u**4 + 0*u - 3 + 0*u**3 + u**2. Factor y(g).
-2*g*(g - 1)*(g + 1)
Let p = -8 + 12. Let k(r) be the third derivative of -3*r**2 + 0 + 0*r**p + 1/105*r**7 - 1/60*r**6 + 0*r**5 + 0*r + 0*r**3. Let k(a) = 0. What is a?
0, 1
Let p(k) be the second derivative of -k**6/20 + 3*k**5/16 - 3*k**4/16 - k**3/8 + 3*k**2/8 + 9*k. Factor p(n).
-3*(n - 1)**3*(2*n + 1)/4
Let a(s) = 9*s**2 + 3*s - 6. Let k(g) = -4*g + 5*g + 0*g + g**2. Let f(d) = -a(d) + 6*k(d). Factor f(r).
-3*(r - 2)*(r + 1)
Let v(z) be the third derivative of z**5/30 - z**4/6 - z**3 - 36*z**2. Factor v(a).
2*(a - 3)*(a + 1)
Let g be -124*(-7)/308 + (-2)/(-11). Let f(u) be the first derivative of 2/3*u**3 - g - u**2 + 0*u. Let f(d) = 0. Calculate d.
0, 1
Let p(y) be the first derivative of 3/4*y**4 - y**3 - 1/5*y**5 - 5 + 0*y + 1/2*y**2. Factor p(f).
-f*(f - 1)**3
Let i(k) be the second derivative of 2*k**7/21 - 2*k**5/5 + 2*k**3/3 + 2*k. What is j in i(j) = 0?
-1, 0, 1
Suppose -17 = 4*m - 2*c - 1, -3*c + 16 = -2*m. Let o be (-1 + 0)*(-4 - m). Factor -14/11*d - 8/11*d**o + 4/11.
-2*(d + 2)*(4*d - 1)/11
Let v(w) = 41*w + 85. Let a be v(-2). Factor 0*p**a + 3/5*p**4 - 3/5*p**2 + 0 + 0*p.
3*p**2*(p - 1)*(p + 1)/5
Let x(y) = y**2 - 6*y - 5. Let h be x(7). Factor 2*t**2 + 10*t**4 + 40*t**3 + 3*t**h + 3*t**2 + 40*t**4.
2*t**2*(5*t + 2)**2
Let b = 7/9 + -4/9. Determine a, given that 2/3*a - b*a**2 + 0 = 0.
0, 2
Let q(m) be the first derivative of m**4/24 + m**3/12 + 3*m + 2. Let p(j) be the first derivative of q(j). Find z, given that p(z) = 0.
-1, 0
Let u be (0/((-24)/(-4)))/(-4). Find t such that -1/3*t**3 + 0*t + u - 1/3*t**2 = 0.
-1, 0
Let f(o) be the second derivative of -o**6/135 + 7*o**5/90 - 5*o**4/18 + o**3/3 + 9*o. Factor f(a).
-2*a*(a - 3)**2*(a - 1)/9
Suppose -4*t + t = -6. Suppose 5*d = 60 - 30. Solve 0*v**2 + 0*v + d*v + 2 + 2 + t*v**2 = 0 for v.
-2, -1
Let s = 0 + 3. Find y, given that 1 - 3*y + 3*y**s - 5 + 2 - 2*y**3 = 0.
-1, 2
Let b(z) = 9*z**2 - 4*z. Let h(k) = 2*k**2 - k. Let o(n) = 4*n**2 + 7*n - 2*n**2 - 3*n**2. Let s be o(6). Let p(i) = s*b(i) - 26*h(i). Factor p(j).
2*j*(j + 1)
Let a(p) be the second derivative of -40/3*p**3 + 16*p**2 + 6*p**4 - 7/5*p**5 + 2*p + 0 + 2/15*p**6. Factor a(o).
4*(o - 2)**3*(o - 1)
Let t(b) be the first derivative of 2*b**5/5 + 6*b**4/7 + 2*b**3/7 - 2*b**2/7 - 1. Let t(d) = 0. What is d?
-1, 0, 2/7
Let t(u) be the third derivative of -u**9/30240 + u**8/10080 + u**5/60 - u**2. Let b(g) be the third derivative of t(g). Factor b(s).
-2*s**2*(s - 1)
Let m(l) be the second derivative of l**7/70 + 3*l**6/50 - 3*l**5/50 - 3*l**4/10 + l**3/10 + 9*l**2/10 + 19*l. Let m(f) = 0. What is f?
-3, -1, 1
Let u(p) = -8*p**2 - 4*p - 4. Let v(i) = 23*i**2 + 13*i + 11. Let g(y) = 11*u(y) + 4*v(y). Suppose g(m) = 0. Calculate m.
-2, 0
Let v = 157/9 - 155/9. Solve v - 1/9*u**2 + 1/9*u = 0 for u.
-1, 2
Let c(s) be the second derivative of -2*s**6/15 - 8*s**5/5 - 8*s**4 - 64*s**3/3 - 32*s**2 - 13*s. Factor c(r).
-4*(r + 2)**4
Factor -1/3*n**5 - 1/3*n - 1/3*n**4 + 2/3*n**2 - 1/3 + 2/3*n**3.
-(n - 1)**2*(n + 1)**3/3
Factor -1/3*z - 3*z**2 - 8/3*z**3 + 0.
-z*(z + 1)*(8*z + 1)/3
Factor -3*f**2 - 5*f**2 + 10*f**2 + 4*f.
2*f*(f + 2)
Let z(p) = p - 1. Let h be z(5). Let x(w) be the third derivative of 1/54*w**5 + 0 + 2*w**2 - 1/9*w**h + 4/27*w**3 + 0*w. What is v in x(v) = 0?
2/5, 2
Let v be 18/4*(-2)/(-3). What is n in 3*n**3 + 6*n + 9*n + 12*n**2 - v + 9 = 0?
-2, -1
Let f be 21 - -1 - (3 - 1). Suppose 5 = 5*n + 5*y - f, 4*y = 5*n - 16. Factor 0 + 0*o + 0*o**2 - 2/3*o**n - 2/3*o**3.
-2*o**3*(o + 1)/3
Let l(s) be the third derivative of -s**5/240 + s**4/96 + s**3/12 - 2*s**2. Factor l(x).
-(x - 2)*(x + 1)/4
What is g in 10*g + 20*g**3 - 25*g**2 - 34*g**4 - 36*g**4 + 65*g**4 = 0?
0, 1, 2
Let a(b) be the second derivative of b**9/22680 + b**8/10080 - b**7/3780 - b**6/1080 + 5*b**4/12 + b. Let h(r) be the third derivative of a(r). Factor h(v).
2*v*(v - 1)*(v + 1)**2/3
Let i = -11 + 16. Determine d, given that d**3 - 14*d**4 + 6*d**4 - i*d**3 = 0.
-1/2, 0
Let a(h) be the second derivative of -h**4/6 - h**3/6 - 3*h**2/2 + 3*h. Let y(z) = 0*z - 2*z - 8 - 3*z**2 - 3*z**2. Let f(v) = -8*a(v) + 3*y(v). Factor f(d).
-2*d*(d - 1)
Solve 6/7 + 2*h + 10/7*h**2 + 2/7*h**3 = 0.
-3, -1
Let v(y) be the first derivative of 4*y**3/3 + 12*y**2 + 36*y - 11. Factor v(o).
4*(o + 3)**2
Let a(k) be the third derivative of -k**6/1260 + k**5/420 + 5*k**3/6 + 6*k**2. Let u(v) be the first derivative of a(v). Let u(z) = 0. What is z?
0, 1
Suppose 4*o - b + 3*b = 108, -4*b - 122 = -5*o. Suppose 3*z + 2 = 3*a + 11, -3*a - 4*z = -o. Factor -1/2*g**a + 1 + 1/2*g.
-(g - 2)*(g + 1)/2
Let l(g) be the first derivative of -g**8/336 - g**7/70 - g**6/40 - g**5/60 + g**3/3 + 2. Let p(v) be the third derivative of l(v). Factor p(s).
-s*(s + 1)**2*(5*s + 2)
Let i(w) be the first derivative of -w**6/36 + w**5/30 + w**4/8 - w**3/18 - w**2/6 + 15. Suppose i(d) = 0. Calculate d.
-1, 0, 1, 2
Let l(s) be the second derivative of -5*s**4/12 + 10*s**3/3 - 30*s. What is i in l(i) = 0?
0, 4
What is t in 2/3*t**5 - 2/3 - 4/3*t**2 + 2*t**4 + 4/3*t**3 - 2*t = 0?
-1, 1
Let n(r) be the second derivative of r**7/420 + 7*r**6/900 + r**5/150 + r**3/2 - 4*r. Let m(d) be the second derivative of n(d). Suppose m(s) = 0. Calculate s.
-1, -2/5, 0
Let u = -6421408 + 1579668949/246. Let f = 1/123 + u. Solve -75/2*o**3 + 24*o**4 - f*o + 3/2 - 6*o**5 + 57/2*o**2 = 0.
1/2, 1
Factor -418 - g**2 - 3*g + 420 + g - g**2 + 2*g**3.
2*(g - 1)**2*(g + 1)
Factor 6/17*z - 2/17*z**2 + 0.
-2*z*(z - 3)/17
Factor 719*b - 26*b**2 - 689*b - 9*b**2 + 5*b**4.
5*b*(b - 2)*(b - 1)*(b + 3)
Let m(k) = 7*k**2 + 2*k + 1. Let g(j) = -j**3 - 28*j**2 - 9*j - 4. Let n(y) = -6*g(y) - 22*m(y). Factor n(v).
2*(v + 1)**2*(3*v + 1)
Suppose -4*q = -18*s + 15*s - 8, -2*q = -4*s - 4. Factor 9/2*i**4 - 3*i**q - 3/2*i**3 + 0*i + 0.
3*i**2*(i - 1)*(3*i + 2)/2
Let a(w) = -w**3 + w - 1. Let d(r) = 4*r**3 - 2*r**2 - 2*r + 2. Let n(f) = -2*a(f) - d(f). Let n(s) = 0. What is s?
0, 1
Factor -8960/3*o - 16807/3*o**5 + 31360/3*o**2 + 1024/3 + 48020/3*o**4 - 54880/3*o**3.
-(7*o - 4)**5/3
Let o(k) be the second derivative of -k**4/24 + k**3/3 - 3*k**2/4 - 3*k. Factor o(a).
-(a - 3)*(a - 1)/2
Let h(o) = -o - 7. Let u be h(-11). Let -2*y**3 - 4/7*y**u + 0 - 8/7*y**2 + 8/7*y = 0. What is y?
-2, 0, 1/2
Let a = 1225 + -4893/4. Solve 1/4*t**3 + a*t - 5/4*t**2 - 3/4 = 0.
1, 3
Let f be (4 - -2) + (-7)/(-7). Suppose -3*w**4 + 0*w**4 - 6*w**3 - f*w**2 + 3*w**2 + w**4 = 0. What is w?
-2, -1, 0
Let u be 908/11*10/(-25). Let d = -306/11 - u. Suppose 56/5*v**4 + d*v**3 + 0 + 4/5*v - 26/5*v**2 = 0. Calculate v.
-1, 0, 1/4, 2/7
Let r be (-48)/8 - 81/(-12). Let u be 75/42 - (-4)/(-14). Factor r*q**4 + 3/2*q**3 - 3/4*q**5 + 3/4 - 3/4*q - u*q**2.
-3*(q - 1)**3*(q + 1)**2/4
Let i(b) = -b**2 - b - 1. Let z(q) = -2*q**3 - 18*q**2 - 16*q - 18. Let j(h) = -36*i(h) + 2*z(h). Factor j(p).
-4*p*(p - 1)*(p + 1)
Solve 0 + 0*n**2 + n**4 + 1/2*n - 3/2*n**3 = 0 for n.
-1/2, 0, 1
Let s(v) = v**3 + 5*v**2 - 7*v. Let b be s(-6). Let k(w) = w**2 + 8*w + 9. Let m be k(-7). Factor c**3 - 4*c**m + c**3 + b*c**2.
2*c**2*(c + 1)
Let -7*p**2 + 1 - 9*p**5 - 180*p**4 + 7*p + 2*p**3 + 165*p**4 + 21*p**2 = 0. What is p?
-1, -1/3, 1
Suppose 2*t + 2*t = -20. Let u(s) = -s - 5. Let k be u(t). Suppose k*d - 3/4*d**4 + 1/4*d**3 - 1/4*d**5 + 7/4*d**2 - 1 = 0. What is d?
-2, -1, 1
Factor 0*w + 0 - 3/7*w**4 + 6/7*w**3 - 3/7*w**2.
-3*w**2*(w - 1)**2/7
Let a(t) be the first derivative of -1 - 1/6*t**4 + 4*t - 2*t**3 - 9*t**