 0 + 0*m**t + 0*m.
2*m**3/9
Let -4/7*n**4 + 4/7*n**3 - 4/7*n**5 + 4/7*n**2 + 0*n + 0 = 0. Calculate n.
-1, 0, 1
Let t be 187/385 - (20/(-28) - -1). Factor 1/5*x**3 + 1/5 - t*x**2 - 1/5*x.
(x - 1)**2*(x + 1)/5
Suppose -b - 1 = -2. Suppose -b = -4*a + 7. Factor 0*c**2 + c**a - 5*c + 1 + 7*c.
(c + 1)**2
Suppose 4*z + z = -15. Let q be (2 - z)*(-2)/(-5). Solve -3*m + 0*m + m - m**q = 0.
-2, 0
Let s(x) be the first derivative of x**2/2 - x - 1. Let p be s(3). Solve 0*u**2 + p*u**3 + 4*u**2 + 2*u + 0*u = 0.
-1, 0
Let w(k) be the third derivative of k**8/672 - k**7/140 + k**6/120 + 11*k**2. Factor w(h).
h**3*(h - 2)*(h - 1)/2
Let f(p) = -8*p**4 - 3*p**3 + p**2 - p + 3. Let n(j) = 9*j**4 + 3*j**3 + 2*j - 4. Let t(b) = -5*f(b) - 4*n(b). Factor t(u).
(u - 1)*(u + 1)**2*(4*u - 1)
Factor 3/2*h - 3*h**2 - 3*h**3 + 3/2*h**5 + 3/2*h**4 + 3/2.
3*(h - 1)**2*(h + 1)**3/2
Let y be (4/6)/(2/9). Solve -j**y + j - 7*j + 3*j**3 - 4 = 0.
-1, 2
Let m(z) be the second derivative of -2*z**6/15 + 9*z**5/5 - 29*z**4/3 + 26*z**3 - 36*z**2 - 2*z - 10. Factor m(a).
-4*(a - 3)**2*(a - 2)*(a - 1)
Factor -16/7*u**2 + 24/7*u**3 + 0 + 0*u + 2/7*u**5 - 12/7*u**4.
2*u**2*(u - 2)**3/7
Let j(t) = 2*t + 3*t**2 - 2*t**2 + 0*t + 3. Let a be j(-2). Factor 2*c**2 + 3*c + a*c - 2*c**3 - 2 - 4*c.
-2*(c - 1)**2*(c + 1)
Let a = 1/43 - -213/86. Let p(y) be the first derivative of a*y**2 - 2*y + 1/4*y**4 - 4/3*y**3 - 1. Let p(s) = 0. What is s?
1, 2
Factor -4/3*r**2 - 4/3*r + 0.
-4*r*(r + 1)/3
Factor -2/5*i**2 + 4/5*i + 0.
-2*i*(i - 2)/5
Let a = -1571 - -188521/120. Let h(t) be the third derivative of 0*t - a*t**6 + 1/24*t**4 - 1/6*t**3 + 1/60*t**5 + 0 + 3*t**2. Factor h(d).
-(d - 1)**2*(d + 1)
Let m(r) be the first derivative of 15/2*r**2 - 6*r + 9 + 7*r**3. Factor m(b).
3*(b + 1)*(7*b - 2)
Let a(n) = -n**2 - n. Let f(d) = 35*d**2 + 41*d + 6. Let z(q) = 2*a(q) + f(q). Determine w, given that z(w) = 0.
-1, -2/11
Suppose 0*l - l = 5. Let x = -3 - l. Factor b**2 - 4*b - x + 4 - 4*b + 5*b.
(b - 2)*(b - 1)
Let g(l) = l**3 + 10*l**2 + l - 2. Let d be g(-10). Let q be (-8)/d + (-14)/(-6). Determine z, given that -z**q + 0*z**3 - 2*z**3 + 7*z**2 - 4*z**2 + 6*z = 0.
-1, 0, 2
Let 8/13*k**2 + 0 - 2/13*k**5 - 8/13*k + 6/13*k**3 - 4/13*k**4 = 0. What is k?
-2, 0, 1
Suppose 1/2 + 3/4*i**2 - 1/4*i**3 + 5/4*i - 1/4*i**4 = 0. Calculate i.
-1, 2
Suppose 4*c - 9 - 3 = 0. Factor 0 + 0*d**2 - 1/3*d + 1/3*d**c.
d*(d - 1)*(d + 1)/3
Factor 12*i**4 - 12*i + 3*i**5 + 15*i + 7*i**2 + 5*i**2 + 18*i**3.
3*i*(i + 1)**4
Let f(b) be the third derivative of 2*b**7/105 + b**6/5 + 3*b**5/5 + 2*b**4/3 + 26*b**2. Suppose f(c) = 0. Calculate c.
-4, -1, 0
Let l = -7 - -10. Factor 4/5 + 2/5*f**l - 6/5*f + 0*f**2.
2*(f - 1)**2*(f + 2)/5
Suppose 5*k - 5 - 5 = 0. Find z, given that -1/4*z**k + 1/2*z - 1/4 = 0.
1
Factor -3*c**3 + c**2 - 114*c**4 + 3*c + 115*c**4 - 1 - 1.
(c - 2)*(c - 1)**2*(c + 1)
Let p = -20 - -30. Suppose 4*a + 5*f = -a + 20, 0 = 2*a + 3*f - p. Factor c + c - a*c**2 - 6*c.
-2*c*(c + 2)
Let d(x) be the first derivative of x**8/2520 - x**6/270 + x**4/36 + 8*x**3/3 + 6. Let b(z) be the third derivative of d(z). Factor b(o).
2*(o - 1)**2*(o + 1)**2/3
Let v(n) be the first derivative of n**8/1008 - n**7/630 - n**6/120 + n**5/36 - n**4/36 + n**2 + 2. Let h(u) be the second derivative of v(u). Factor h(k).
k*(k - 1)**3*(k + 2)/3
Solve -7 - q**2 + 8 - 2 + 2*q = 0.
1
Let q be (-4526)/35 + 2/(-7). Let n = q - -130. Factor -n*p**2 + 2/5 + 0*p.
-2*(p - 1)*(p + 1)/5
Factor 16*f**4 + 12*f**3 + 0*f**4 - 16*f**2 + 0*f**5 + 0*f**5 + 4*f**5 - 16*f.
4*f*(f - 1)*(f + 1)*(f + 2)**2
Let o(n) be the second derivative of 1/3*n**6 - 4*n + 1/21*n**7 + 0 + 5/3*n**3 + 5/3*n**4 + n**5 + n**2. Suppose o(q) = 0. What is q?
-1
Let k be (-5)/30*-8 + (-8)/12. Suppose 0 - k*r + 2/9*r**2 = 0. What is r?
0, 3
Suppose -5*i - 19 = -2*f + 4*f, -4*f + i + 17 = 0. Suppose r**3 - 4*r**2 + r**f + 2*r**3 = 0. What is r?
0, 1
Let a(j) be the second derivative of -1/45*j**6 + 1/27*j**3 - j + 5/54*j**4 + 0 - 2/9*j**2 - 1/90*j**5. What is m in a(m) = 0?
-1, 2/3, 1
Let c(q) be the third derivative of 0*q + 1/224*q**8 + 1/16*q**4 + 0*q**5 + 0*q**3 + 0*q**7 + 3*q**2 - 1/40*q**6 + 0. Factor c(t).
3*t*(t - 1)**2*(t + 1)**2/2
Let h(l) = l**3 - 4*l**2 + 2*l - 5. Let o be h(4). Suppose o*i - 12 = -3. Suppose -10*d**4 - 1 - 18*d**i + 1 + 14*d**5 + 10*d**2 + 4*d = 0. Calculate d.
-1, -2/7, 0, 1
Let a(n) be the second derivative of 3*n**7/140 - n**6/60 - n**5/30 + n**3/2 - 2*n. Let q(s) be the second derivative of a(s). Factor q(x).
2*x*(3*x - 2)*(3*x + 1)
Let d(b) = 6*b**4 + 3*b**3 - 12*b**2 + 9*b. Let r(s) = -5*s**4 - 2*s**3 + 11*s**2 - 8*s. Let x(u) = -2*d(u) - 3*r(u). Factor x(z).
3*z*(z - 1)**2*(z + 2)
Let a(u) be the second derivative of u**9/1512 + u**8/840 - u**7/420 - u**6/180 + u**3/3 - 2*u. Let m(h) be the second derivative of a(h). Solve m(i) = 0 for i.
-1, 0, 1
Let r(h) be the first derivative of 2*h**3/9 + h**2/12 - h/2 + 4. Factor r(a).
(a + 1)*(4*a - 3)/6
Let v(g) be the third derivative of g**5/12 + 5*g**4/24 + 58*g**2. Suppose v(n) = 0. What is n?
-1, 0
Let l(h) = -7*h**2 + 9*h + 5. Let w(y) = 2 - 4*y + 8*y**2 + 0 - 8 - 6*y. Let k(q) = -6*l(q) - 5*w(q). Factor k(j).
2*j*(j - 2)
Let q(j) be the first derivative of -2*j**3/21 + 3*j**2/7 - 4*j/7 - 4. Factor q(l).
-2*(l - 2)*(l - 1)/7
Let q(d) = -d + 1. Let n(g) = -4*g**2 - 6*g + 10. Let z(x) = n(x) - 6*q(x). Let z(f) = 0. What is f?
-1, 1
Factor -2/3*y**2 - 16/3 - 4*y.
-2*(y + 2)*(y + 4)/3
Suppose 0 = -2*w + 4*w - 10*w. Let x be (-1*3*-1)/1. Factor 2/3*a**4 + w*a**x - 2/3*a**2 + 1/3*a**5 + 0 - 1/3*a.
a*(a - 1)*(a + 1)**3/3
Determine l so that 0 + 3/7*l - 12/7*l**2 = 0.
0, 1/4
What is s in -10/7*s - 4/7 - 2/7*s**3 - 8/7*s**2 = 0?
-2, -1
Let v(s) be the first derivative of -3*s**2 + 3 - 4/3*s**3 + 6/5*s**5 + 1/3*s**6 - 2*s + s**4. Factor v(p).
2*(p - 1)*(p + 1)**4
Let a(y) = y**3 - y**2 + 3. Let k(f) = f**3 - f**2 + 5. Let d(s) = -5*a(s) + 3*k(s). Let d(m) = 0. What is m?
0, 1
Let y(b) = 6*b**2 + 2*b + 1. Let n be y(-1). Let u be ((-2)/(-3))/(n/15). Factor u*j**3 + j - 6*j**3 + 2*j**4 - 2 + 3*j.
2*(j - 1)**3*(j + 1)
Suppose -1/4*h**4 - 1/2*h + 1/4 + 1/2*h**3 + 0*h**2 = 0. Calculate h.
-1, 1
Let o(k) = -k**3 - 6 + 7 - 4*k**2 + 3*k**2 + k**4. Let d(v) = -23*v**4 - 47*v**3 - 26*v**2 - 4*v + 2. Let r(s) = -3*d(s) + 6*o(s). Factor r(f).
3*f*(f + 1)*(5*f + 2)**2
Let h(g) be the second derivative of g**5/100 - g**4/60 - 5*g. Factor h(o).
o**2*(o - 1)/5
Let i = 31 - 22. Suppose 2*t - i = -t. Factor -12/5 + 3/5*q**3 + 24/5*q - t*q**2.
3*(q - 2)**2*(q - 1)/5
Let y(x) be the third derivative of x**8/2520 - x**6/540 - x**3/6 + 2*x**2. Let g(z) be the first derivative of y(z). Factor g(m).
2*m**2*(m - 1)*(m + 1)/3
Let t(z) be the first derivative of z**3/5 - 3*z**2/10 - 6*z/5 - 8. What is h in t(h) = 0?
-1, 2
Let k(w) be the first derivative of w**5/30 + w**4/8 + w**3/18 - w**2/4 - w/3 - 14. Factor k(g).
(g - 1)*(g + 1)**2*(g + 2)/6
Let t(q) be the third derivative of q**6/200 - q**5/25 + 3*q**4/40 + 9*q**2. Suppose t(b) = 0. What is b?
0, 1, 3
Let m = 1 + -1. Factor -4*n**2 + n**4 + n**3 - 3*n**4 + 5*n**3 + m*n**2.
-2*n**2*(n - 2)*(n - 1)
Let w(c) be the third derivative of c**5/210 + 5*c**4/84 - 2*c**3/7 + 21*c**2. Factor w(k).
2*(k - 1)*(k + 6)/7
Let z(a) be the first derivative of 0*a**5 - 1/2*a**4 + 0*a + 0*a**3 + 1/2*a**2 - 4 + 1/6*a**6. Suppose z(r) = 0. What is r?
-1, 0, 1
Let h(x) = -6*x + 3. Let k(o) = o**4 - o**3 - o**2 + 11*o - 5. Let i(f) = -5*h(f) - 3*k(f). Find j such that i(j) = 0.
-1, 0, 1
Let i(s) = -s**2 + 4*s + 7. Let c be i(5). Let -5*d**3 + 0*d + 8*d**2 - 7*d**3 - c*d + 8*d**4 + 0*d - 2*d**5 = 0. Calculate d.
0, 1
Let f(p) be the first derivative of p**8/5040 - p**6/360 + p**5/180 - 5*p**3/3 + 1. Let a(y) be the third derivative of f(y). Factor a(x).
x*(x - 1)**2*(x + 2)/3
Suppose -10*r**4 + r**3 - 6*r**5 - 6*r**3 + 2*r**5 - r**5 = 0. Calculate r.
-1, 0
Let n(j) be the first derivative of 2*j**3/21 - 2*j/7 - 13. Determine q, given that n(q) = 0.
-1, 1
Suppose 0*l + l = -4*n + 5, 4*n = -5*l - 7. Let g(r) = 2*r**2 - 2*r - 2. Let m be g(n). Determine k, given that 2*k**m + 6*k**3 - 7*k**3 + 0*k - k = 0.
0, 1
Let z(a) = a**3 + 7*a**2 - 8*a + 3. Let n be z(-8). Factor 6*l**4 - 4 - 7*l**4 + 2*l**2 + n.
-(l