12 - 14)/((-2)/3). Factor 3/5*h - 2/5*h**g - 3/5*h**2 + 2/5.
-(h - 1)*(h + 2)*(2*h + 1)/5
Let f(v) = 3*v**3 + 6*v**2 + 3*v**2 - 2*v - 6*v**2 + 2. Let z(a) = 10*a**3 + 10*a**2 - 7*a + 7. Let p(l) = -21*f(l) + 6*z(l). Suppose p(g) = 0. What is g?
-1, 0
Let d be ((-2)/6 - 0) + 925/777. Suppose -6/7*u**2 - 2/7 + d*u + 2/7*u**3 = 0. Calculate u.
1
Let z(w) be the second derivative of -2*w**7/63 - w**6/9 - 2*w**5/15 - w**4/18 - 13*w. What is u in z(u) = 0?
-1, -1/2, 0
Let a(m) be the third derivative of 4*m**5/15 - 5*m**4/6 + 2*m**3/3 + 10*m**2. Factor a(c).
4*(c - 1)*(4*c - 1)
Factor -6*g**2 - 9 + 14*g**2 + g**2 + 15*g**2 + 30*g.
3*(2*g + 3)*(4*g - 1)
Let b(g) = -g - 1. Let x(t) be the third derivative of t**5/30 - 5*t**4/12 - 4*t**3/3 + t**2. Let n(h) = -8*b(h) + x(h). Find l such that n(l) = 0.
0, 1
Let w(s) be the first derivative of -s**3/15 - s**2/10 + 12. Factor w(y).
-y*(y + 1)/5
Suppose 11*c - 5 - 28 = 0. Let t(r) be the first derivative of c + 2/9*r**3 - 4/3*r - 1/3*r**2. Factor t(h).
2*(h - 2)*(h + 1)/3
Let p(v) be the second derivative of -v**4/6 - 2*v**3/3 - 16*v. Factor p(r).
-2*r*(r + 2)
Find c such that -1/5*c + 1/5*c**5 + 2/5*c**4 - 2/5*c**2 + 0*c**3 + 0 = 0.
-1, 0, 1
Let o(a) = a + 1. Let s be o(1). Let t(j) be the first derivative of -s - j**3 + 2*j**3 + 5*j**2 + 0 - 6*j**2. Let t(m) = 0. Calculate m.
0, 2/3
Let l(n) = -n**3 + 2*n**2 + n - 2. Let c(a) = 3*a**3 - 5*a**2 - 3*a + 5. Let w(z) = 2*c(z) + 5*l(z). Factor w(u).
u*(u - 1)*(u + 1)
Let s = -13/77 + 5/11. Factor -4/7 + 2/7*h**2 + s*h.
2*(h - 1)*(h + 2)/7
Let i(p) be the first derivative of 0*p - 9/2*p**4 - 24/5*p**5 - 4/3*p**3 + 5 - 5/3*p**6 + 0*p**2. Let i(x) = 0. What is x?
-1, -2/5, 0
Let l(u) be the first derivative of u**8/560 + u**7/840 - u**6/180 + 4*u**3/3 + 4. Let m(z) be the third derivative of l(z). Let m(w) = 0. Calculate w.
-1, 0, 2/3
Let f(u) = -u**2 - 6 - 7*u - 3*u + 15 + 2*u**2. Let l be f(9). Factor -2/5*n**4 + 2/5*n**2 + 0 + 2/5*n**5 - 2/5*n**3 + l*n.
2*n**2*(n - 1)**2*(n + 1)/5
Suppose h + 2*h = -9. Let a(g) = g**2 + 3*g. Let j be a(h). Suppose 0 + 4/3*q**4 - 4/3*q**2 - 2/3*q**5 + j*q**3 + 2/3*q = 0. What is q?
-1, 0, 1
Let w be (8/(-24))/(0 - (-3)/(-18)). Let q(y) be the first derivative of -1 - 3/2*y**2 + 1/3*y**3 + w*y. Factor q(t).
(t - 2)*(t - 1)
Suppose 4*o - 1 - 7 = 0. Factor 6*a**3 - 3*a**4 - 6*a - o + 5 + 0*a.
-3*(a - 1)**3*(a + 1)
Suppose 17 - 7 = 5*n. Suppose n - 1 = 2*c + i, c - 13 = 2*i. Find p such that 0 + 0*p + 1/2*p**c + 0*p**2 = 0.
0
Let q = -1468/15 + 98. Let f(u) be the first derivative of q*u**3 + 2/5*u**2 + 2 + 2/5*u. Factor f(y).
2*(y + 1)**2/5
Let n = 18 + -14. Find l, given that 10*l**4 - 4 + 4*l**5 + 2*l**2 + n + 8*l**3 = 0.
-1, -1/2, 0
Let t = 21/10 - 8/5. Let h(l) be the second derivative of t*l**5 + 5/6*l**4 + 5/6*l**3 + 1/2*l**2 + 2*l + 1/6*l**6 + 1/42*l**7 + 0. Solve h(n) = 0 for n.
-1
Let g = 305 + -9149/30. Let q(i) be the third derivative of 1/6*i**4 + 0*i + 4*i**2 - g*i**5 + 0 - 1/3*i**3. Find u, given that q(u) = 0.
1
Let p(n) be the third derivative of -5*n**8/1344 - n**7/60 - n**6/40 - n**5/120 + n**4/96 - 13*n**2. Factor p(v).
-v*(v + 1)**3*(5*v - 1)/4
Let p(b) be the second derivative of -b**6/60 + b**4/4 - 2*b**3/3 + 3*b**2 - 4*b. Let t(u) be the first derivative of p(u). Find v such that t(v) = 0.
-2, 1
Factor -1/5*w**3 + 0 + 2/5*w + 1/5*w**2.
-w*(w - 2)*(w + 1)/5
Let -45*j**2 - 35 + 5*j**3 + 2 - 20 - 27 + 120*j = 0. What is j?
1, 4
Let d(v) be the second derivative of -v**7/2520 + v**6/2160 - v**4/4 + 2*v. Let r(u) be the third derivative of d(u). Factor r(i).
-i*(3*i - 1)/3
Let w be ((-20)/(-8))/(2/(-4)). Let g(b) = -8*b**3 + b**2 + 5*b + 8. Let k(n) = 7*n**3 - n**2 - 5*n - 7. Let p(t) = w*g(t) - 6*k(t). Factor p(l).
-(l - 2)*(l + 1)*(2*l + 1)
Suppose 3*o - 2*o = -5*h - 3, -6 = -4*h + 2*o. Suppose -3*x - 4*y = -5*y - 4, -4*y - 16 = h. Factor -1/2*d + 1/2*d**3 - 3/2*d**2 + 3/2*d**4 + x.
d*(d - 1)*(d + 1)*(3*d + 1)/2
Solve 0 - 6*v**2 + 3 + 3 - 3*v + 3*v**3 = 0.
-1, 1, 2
Let d(z) be the second derivative of -9*z**5/100 - z**4/20 + 3*z**3/10 + 3*z**2/10 - 2*z. What is x in d(x) = 0?
-1, -1/3, 1
Let j(c) = c**2 + c + 3. Let y be j(0). Let d be y*(-2 + (-44)/(-21)). Factor 2/7*z**5 + 2/7*z + 2/7*z**4 - 4/7*z**2 - 4/7*z**3 + d.
2*(z - 1)**2*(z + 1)**3/7
Let z(o) be the third derivative of -o**8/112 - o**7/35 + o**5/10 + o**4/8 - 5*o**2. Suppose z(u) = 0. Calculate u.
-1, 0, 1
Suppose 2/5*h**4 - 56/5*h + 24/5 + 46/5*h**2 - 16/5*h**3 = 0. What is h?
1, 2, 3
Let t(h) be the second derivative of -h**8/448 + h**7/70 - h**6/60 - h**4/2 + 5*h. Let p(g) be the third derivative of t(g). Factor p(q).
-3*q*(q - 2)*(5*q - 2)
Factor -1/10*b**2 - 3/10 + 2/5*b.
-(b - 3)*(b - 1)/10
Let u be 32/20*(-5)/(-2). Suppose -u*g - 4 = -6*g. Determine o, given that 0 + 0*o - 1/3*o**g = 0.
0
Let l be 2 - (-3 + -3 - -3). Let t(v) be the second derivative of 1/6*v**4 + 0 - 1/15*v**6 + v + 1/3*v**3 - 1/10*v**l + 0*v**2. Find m such that t(m) = 0.
-1, 0, 1
Let j(y) = -6*y**4 - 12*y**3 - 6*y**2 + 2. Let i(u) = -25*u**4 - 48*u**3 - 23*u**2 + 9. Let c(q) = 2*i(q) - 9*j(q). Factor c(o).
4*o**2*(o + 1)*(o + 2)
Let h(a) be the first derivative of 0*a + 2/39*a**3 + 1/13*a**4 - 2/13*a**2 - 2/65*a**5 + 4. Find r such that h(r) = 0.
-1, 0, 1, 2
Let v be -1*(-2)/2 - -2. Suppose 0 = 4*m + 4*d - 8, v*d - 2*d + 10 = 5*m. Factor 2*j**2 - 2*j**3 + 2*j - 2*j**2 - 2*j**m + 2.
-2*(j - 1)*(j + 1)**2
Let x be 3/(-12)*-1 - 0/8. Let n(g) be the first derivative of 3 - 1/5*g**5 - 5/2*g**2 + g**3 + x*g**4 + 2*g. Find o, given that n(o) = 0.
-2, 1
Let y(c) = c**4 + c**3 + c - 1. Let u(i) = 4*i**5 + 7*i**4 - 9*i**3 - 16*i**2 + 3*i + 9. Let j(m) = -u(m) - y(m). Solve j(o) = 0.
-2, -1, 1
Let u(i) be the third derivative of i**7/315 + i**6/60 + i**5/45 - 21*i**2. Factor u(x).
2*x**2*(x + 1)*(x + 2)/3
Suppose 0 = -3*s + 2*c - 0*c - 22, -3*c + 13 = -2*s. Let u be (s/(-18))/(2/4). Let 2/3*a**3 - 8/9*a + 0 + u*a**2 = 0. What is a?
-2, 0, 2/3
Suppose -1/4*c**4 + 0*c**3 + 0*c**2 + 0*c + 0 = 0. Calculate c.
0
Factor -1/3 + 1/6*o**3 + 1/3*o**2 - 1/6*o.
(o - 1)*(o + 1)*(o + 2)/6
Let t = -5 + 3. Let f be t*(-2 + -1 - -1). Suppose 0*d + 0*d**3 - 2/9*d**5 + 0*d**2 + 0 + 0*d**f = 0. What is d?
0
Let p(w) be the first derivative of -w**5/5 + w**4/4 + w**3/3 - w**2/2 + 7. Suppose p(f) = 0. Calculate f.
-1, 0, 1
Let q(t) = -t**2 + t + 1. Let j(c) = 9*c**2 + c - 7. Let s(g) = -j(g) - 2*q(g). Let v(b) = b - 1. Let a(p) = s(p) + 5*v(p). Suppose a(z) = 0. Calculate z.
0, 2/7
Let s(u) be the first derivative of -u**5/240 - 5*u**4/96 - u**3/6 - 3*u**2/2 - 5. Let y(c) be the second derivative of s(c). Factor y(m).
-(m + 1)*(m + 4)/4
Let y(i) be the first derivative of -i**5/240 - i**4/96 - 5*i**2/2 + 4. Let q(v) be the second derivative of y(v). Find n such that q(n) = 0.
-1, 0
Let i(w) be the first derivative of w**5/5 - w**4/2 + w**2 - w + 6. Factor i(a).
(a - 1)**3*(a + 1)
Suppose -2*z - 4*c + 24 = 0, 3*z + 2*c - 4 = 6*z. Suppose -3*j**4 + 6*j + 3*j**z + 2*j**4 - 3*j - j = 0. What is j?
-1, 0, 2
Suppose -4/3*l**5 - 16/3*l - 4*l**2 + 0 + 4*l**4 + 20/3*l**3 = 0. Calculate l.
-1, 0, 1, 4
Let o(n) be the first derivative of n**4/18 + 10*n**3/27 - 2*n**2/3 + 16. Factor o(t).
2*t*(t - 1)*(t + 6)/9
Let t(h) be the first derivative of -h**4/12 - 4*h**3/9 + h**2/6 + 4*h/3 - 2. Suppose t(v) = 0. Calculate v.
-4, -1, 1
Let f(t) be the first derivative of 1 + 0*t**2 + 0*t + 2/9*t**3 + 1/6*t**4. What is j in f(j) = 0?
-1, 0
Factor -4/5*z - 2/5*z**2 + 0.
-2*z*(z + 2)/5
Factor -1/6*h**2 + 0 - 3/2*h.
-h*(h + 9)/6
Let u(t) be the first derivative of -t**5 + 5*t**4/4 + 5*t**3 - 5*t**2/2 - 10*t + 24. Factor u(m).
-5*(m - 2)*(m - 1)*(m + 1)**2
Let o(m) = 16*m**3 - 11*m + 11. Let x(l) = 3*l**3 - 2*l + 2. Let z(a) = -4*o(a) + 22*x(a). Find v, given that z(v) = 0.
0
Let b(x) be the third derivative of 1/945*x**7 + 0 + 0*x + 1/27*x**4 + 0*x**3 + 3*x**2 + 0*x**5 - 1/180*x**6. Factor b(v).
2*v*(v - 2)**2*(v + 1)/9
Let y(w) be the first derivative of -w**5/10 + 5*w**4/8 - 7*w**3/6 + 3*w**2/4 + 23. Let y(v) = 0. Calculate v.
0, 1, 3
Let n(a) be the third derivative of 11*a**5/270 - 13*a**4/108 + 2*a**3/27 - 13*a**2. Factor n(i).
2*(i - 1)*(11*i - 2)/9
Let m(x) be the second derivative of 0 - 1/6*x**4 + 1/10*x**5 - 1/3*x**3