-s**9/15120 + s**8/6720 + s**7/2520 - s**6/720 - s**4/8 + 8*s**2. Let w(q) be the second derivative of a(q). Factor w(g).
-g*(g - 1)**2*(g + 1)
Find i such that -4/5*i**4 - 4/5*i**2 + 8/5*i**3 + 0*i + 0 = 0.
0, 1
Let v = -141 + 141. Let k(r) be the third derivative of 0*r**4 + 1/180*r**5 + v*r**6 + 0 + 0*r**3 - 1/630*r**7 + 0*r - 2*r**2. Let k(q) = 0. What is q?
-1, 0, 1
Let u(i) be the first derivative of 5/7*i**2 - 20/21*i**3 + 4 - 2/7*i**5 + 1/21*i**6 - 2/7*i + 5/7*i**4. Factor u(q).
2*(q - 1)**5/7
Let j = -56 - -60. Factor 0 + 1/4*q**2 + 0*q + 1/4*q**j + 1/2*q**3.
q**2*(q + 1)**2/4
Let d(o) be the first derivative of -3*o**5/5 - 15*o**4/2 - 13*o**3 + 90*o**2 - 108*o + 8. Factor d(y).
-3*(y - 1)**2*(y + 6)**2
Let y(j) be the third derivative of j**9/15120 + j**8/6720 - j**4/8 - 3*j**2. Let v(a) be the second derivative of y(a). Find l such that v(l) = 0.
-1, 0
Let l(g) be the second derivative of -g**7/3780 - g**6/540 - g**4/4 - 3*g. Let k(o) be the third derivative of l(o). Factor k(b).
-2*b*(b + 2)/3
Let v(t) = t**3 + 4*t**2 + t - 2. Let p be v(-3). Suppose 0*f + 0 - 2/7*f**3 + 0*f**2 - 2/7*f**5 + 4/7*f**p = 0. What is f?
0, 1
Suppose -4*w + d + d = -44, 4*d = 2*w - 16. Let x be (-4)/w*(-6)/4. Factor 0 - 1/2*n - x*n**2.
-n*(n + 1)/2
Factor 3/4*i**2 + 0 - 3/4*i**4 - 3/4*i**3 + 3/4*i.
-3*i*(i - 1)*(i + 1)**2/4
Let r(y) = -y**2 + 7*y - 3. Let j be r(5). Let v be (8/(-10))/((-1)/5). Let 6*i - 4*i - 3*i + j*i**2 - v*i**5 + 13*i**4 - 15*i**3 = 0. What is i?
0, 1/4, 1
Let o = 3 - 0. Find r, given that -3*r**o + r**2 - r**2 + 5*r**3 = 0.
0
Let b be 8/(-36) + 26/36. Let l(n) be the first derivative of 2/3*n + 1/9*n**3 - b*n**2 + 1. Suppose l(s) = 0. Calculate s.
1, 2
Let y = 160 + -479/3. Determine m so that y*m + 1/3 - 1/3*m**3 - 1/3*m**2 = 0.
-1, 1
Let j(y) be the second derivative of y**6/30 - y**4/4 + y**3/3 + 2*y. Determine k so that j(k) = 0.
-2, 0, 1
Let h(i) be the first derivative of -20/3*i**2 + 4 + 80/3*i + 5/9*i**3. Factor h(o).
5*(o - 4)**2/3
Let p(h) be the first derivative of -5*h**3/3 + 30. Let p(i) = 0. What is i?
0
Let n be 7 + (-224)/35 - (-8)/(-30). Find y such that 1/3 + 0*y - n*y**2 = 0.
-1, 1
Factor -5*r**5 - 8*r**2 - 8*r**3 - 4*r**4 - 4 + 16*r**4 + 12*r + r**5.
-4*(r - 1)**4*(r + 1)
Let h(n) be the first derivative of -2 - 1/4*n**2 + 1/12*n**3 + 1/4*n. Find b such that h(b) = 0.
1
Let y be (-32)/(-14) + -2*(-2 - -3). Find a, given that 0 - y*a**4 + 2/7*a**3 - 2/7*a**5 + 0*a + 2/7*a**2 = 0.
-1, 0, 1
Let i(v) be the third derivative of 5*v**8/504 - 17*v**7/315 + 7*v**6/60 - 11*v**5/90 + v**4/18 - 10*v**2. Factor i(g).
2*g*(g - 1)**3*(5*g - 2)/3
Let f(b) = -4*b**5 + 2*b**4 + 6*b**3 - 4*b**2 - 6*b. Let g be 3 + -3 + (4 - 3). Let d(v) = v**5 + v**2 + v. Let h(o) = g*f(o) + 2*d(o). What is m in h(m) = 0?
-1, 0, 1, 2
Let b(g) = g**3 + g + 1. Let l(d) = -15*d**3 - 9*d**2 - 12*d - 18. Let s(y) = -18*b(y) - l(y). Factor s(a).
-3*a*(a - 2)*(a - 1)
Let u(s) be the first derivative of -s**6/3 + 12*s**5/5 - 4*s**4 - 4*s**3/3 + 9*s**2 - 8*s - 46. Factor u(f).
-2*(f - 4)*(f - 1)**3*(f + 1)
Let s(t) be the first derivative of t**4/14 - 34*t**3/21 + 80*t**2/7 - 128*t/7 - 28. Let s(p) = 0. Calculate p.
1, 8
Let y(f) = f**2 - 7*f + 4. Let s be y(7). Suppose -18*a**s + 6*a**2 - 5*a**3 - 3*a**5 + 15*a + 6*a**4 - 7*a**3 + 6 = 0. What is a?
-2, -1, 1
Let i(f) be the first derivative of -1/6*f**4 - 3*f + 1/15*f**6 + 0*f**2 + 1/3*f**3 - 1/10*f**5 - 2. Let q(l) be the first derivative of i(l). Factor q(u).
2*u*(u - 1)**2*(u + 1)
Let i be -2 + (-30)/(-21) + 130/105. Suppose i*s**2 + 1/3*s + 1/3*s**3 + 0 = 0. Calculate s.
-1, 0
Determine l so that 1/2*l + 3/4*l**3 + 0 + l**4 - 9/4*l**2 = 0.
-2, 0, 1/4, 1
Let n be 9*((-40)/(-12) + -3). Factor u**2 + 1/3 - u - 1/3*u**n.
-(u - 1)**3/3
Let n(a) be the third derivative of -a**11/997920 + a**9/90720 - a**7/15120 + a**5/30 - a**2. Let z(b) be the third derivative of n(b). Factor z(u).
-u*(u - 1)**2*(u + 1)**2/3
Let c be (-3)/(-6)*-1*(-4)/6. Let s(w) be the first derivative of -2 - 5/6*w**2 + 5/12*w**4 + 1/3*w**3 - 4/15*w**5 + c*w. Let s(i) = 0. Calculate i.
-1, 1/4, 1
Let h be 2/5 + (-16)/(-10). Let n = -85 + 87. Factor h*d + d - 2*d**2 + d**3 + 4*d**2 - n*d.
d*(d + 1)**2
Suppose 0 = -19*s + 23*s + 36. Let o = 29/3 + s. Determine j, given that -o*j + 2/3*j**2 + 2/3*j**3 - 2/3 = 0.
-1, 1
Let f(i) be the first derivative of -1 - 2*i - 1/3*i**3 + 3/2*i**2. Solve f(v) = 0.
1, 2
Let j(k) be the first derivative of -k**4/48 + k**3/6 - k**2/2 + 10*k + 4. Let p(x) be the first derivative of j(x). Let p(h) = 0. Calculate h.
2
Let 6/11*t**4 - 6/11*t + 4/11*t**3 + 2/11*t**5 - 4/11*t**2 - 2/11 = 0. Calculate t.
-1, 1
Let i(t) be the first derivative of -t**5 + 5*t**4/4 + 5*t**3/3 - 5*t**2/2 - 1. Factor i(q).
-5*q*(q - 1)**2*(q + 1)
Let b(k) be the third derivative of -k**6/180 + k**5/30 + k**4/36 - k**3/3 - 13*k**2. Factor b(q).
-2*(q - 3)*(q - 1)*(q + 1)/3
Let i(d) = -d**3 - d**2 - d - 1. Let r(v) = -3*v**3 - 2*v**2 - v - 2. Let x(m) = -10*i(m) + 5*r(m). Factor x(w).
-5*w*(w - 1)*(w + 1)
Let r = -10 + 10. Determine s, given that r - 2*s**2 - 2*s**3 - 2/3*s - 2/3*s**4 = 0.
-1, 0
Let l be 2/(-8) + (-22)/(-24). Suppose 10*t = 8*t. Suppose t + 2/3*a**4 + 2/3*a - l*a**2 - 2/3*a**3 = 0. Calculate a.
-1, 0, 1
Find h, given that -1/3*h**2 + 2/3 + 1/3*h = 0.
-1, 2
Suppose 0*z - 2/3*z**4 + 0 + 10/3*z**3 - 8/3*z**2 = 0. What is z?
0, 1, 4
Suppose 0*w = -2*w. Suppose -2/3*z**2 + w + 0*z = 0. What is z?
0
Let z = -7 + 7. Suppose z = -w + 5*w. Let 2/7*f**4 - 2/7*f**2 - 4/7*f**3 + 4/7*f + w = 0. What is f?
-1, 0, 1, 2
Let l(y) be the second derivative of y**9/10080 - y**8/1680 + y**7/840 - y**5/240 + y**4/6 - 5*y. Let h(v) be the third derivative of l(v). Factor h(c).
(c - 1)**3*(3*c + 1)/2
Solve 5*t - 8*t - 10*t**2 - 2*t + 5 = 0.
-1, 1/2
Let b be (0 - -1)/(4/92). Suppose 3*a + 3 = -5*u - 10, -3*u = -2*a + b. Factor 0*w - 1/4*w**2 - w**5 + 0 + 7/4*w**a - 1/2*w**3.
-w**2*(w - 1)**2*(4*w + 1)/4
Let n = 18 - 18. Factor 14*r**3 + 1 + 6*r - 5 + 24*r**2 + n.
2*(r + 1)**2*(7*r - 2)
Let a(j) be the second derivative of -j**6/225 + j**5/75 - 2*j**3/45 + j**2/15 - 22*j. Let a(r) = 0. What is r?
-1, 1
Let v(o) be the third derivative of o**8/112 + 3*o**7/70 + 3*o**6/40 + o**5/20 - 22*o**2. Find x such that v(x) = 0.
-1, 0
Suppose 3 = -2*b + 35. Factor -11*u - 2*u**3 - 12*u**2 - b + 5*u - 18*u.
-2*(u + 2)**3
Let h(d) be the first derivative of -d**5/30 - d**4/6 + d**2/2 - 1. Let o(x) be the second derivative of h(x). Factor o(f).
-2*f*(f + 2)
Let a be 3 - 4/4 - -2. Factor -9*h**3 - a*h + 2*h**3 + 11*h**3.
4*h*(h - 1)*(h + 1)
Let a(k) be the second derivative of 0 + 1/14*k**4 + 2/21*k**3 + 3*k - 1/7*k**2. Factor a(h).
2*(h + 1)*(3*h - 1)/7
Factor -3/2*t - 1/2 + 1/2*t**5 - t**2 + t**3 + 3/2*t**4.
(t - 1)*(t + 1)**4/2
Let r be (5/10)/((-12)/(-16)). Suppose -5/3*y**3 - y**4 - r*y**2 + 0*y + 0 = 0. What is y?
-1, -2/3, 0
Let m(x) be the second derivative of -x**6/165 - x**5/110 + x**4/66 + x**3/33 + 12*x. Factor m(u).
-2*u*(u - 1)*(u + 1)**2/11
Let g be (-3 - (2 + -6))/((-4)/(-8)). Find z, given that 0 - 1/4*z + 1/2*z**g - 1/4*z**3 = 0.
0, 1
Let o(u) = 3*u**3 - u + 1. Suppose -16*n + 21*n - 5 = 0. Let c be o(n). Factor 0 + l**c - l + 1/2*l**4 - 1/2*l**2.
l*(l - 1)*(l + 1)*(l + 2)/2
Let m(j) be the first derivative of j**7/210 + j**6/40 + j**5/20 + j**4/24 - 9*j**2/2 - 9. Let g(z) be the second derivative of m(z). Factor g(h).
h*(h + 1)**3
Let x(l) be the first derivative of l**4/18 + 16*l**3/27 - l**2/9 - 16*l/9 + 7. Factor x(v).
2*(v - 1)*(v + 1)*(v + 8)/9
Find v such that 1/6*v**2 - 1/6*v**4 + 1/2*v + 0 - 1/2*v**3 = 0.
-3, -1, 0, 1
Let c(s) be the first derivative of s**6/12 - s**4/8 - 8. Factor c(z).
z**3*(z - 1)*(z + 1)/2
Let l(i) be the first derivative of i**4/4 + i**3/3 - i**2/2 - i - 2. Factor l(a).
(a - 1)*(a + 1)**2
Solve l**4 - 2*l**4 - 9 - 2 - 2*l**3 + 4*l + 3*l**2 + 7 = 0 for l.
-2, 1
Let u(h) be the third derivative of 0*h**3 + 0*h**5 + 0*h**4 + 0*h + h**2 + 1/840*h**6 + 0 - 1/1470*h**7. What is y in u(y) = 0?
0, 1
Let i(h) be the first derivative of h**9/756 + h**8/420 - h**7/105 + 5*h**3/3 + 7. Let j(y) be the third derivative of i(y). Let j(n) = 0. Calculate n.
-2, 0, 1
Suppose -5*k - 5 = 5. Let i be (k/(-6))/(15/72). Factor -12/