- 1/160*a**m. Solve u(l) = 0 for l.
0, 1/3, 1
Factor 9/4*h**2 - 3/4*h**3 + 3/4 - 9/4*h.
-3*(h - 1)**3/4
Let v(o) = -o + 7. Let h(s) = s + 14. Let f be h(-9). Let q be v(f). What is l in 0 + 1/2*l**q + 0*l - 1/2*l**3 = 0?
0, 1
Let u = -2 - -3. Let n be 6/(-3) + 5/u. Suppose 2*r**2 + 0 + r + n*r + 2 = 0. Calculate r.
-1
Let q(g) = 7*g - 17. Let h(d) = 4*d - 8. Let z(j) = 5*h(j) - 3*q(j). Let k be z(11). Factor 4/3*n**5 + 0*n - 2/3*n**4 + 0 + 0*n**2 + k*n**3.
2*n**4*(2*n - 1)/3
Let u(s) = 14*s**2 + 23*s + 1. Let t(a) = 5*a**2 + 8*a. Let g(y) = -11*t(y) + 4*u(y). Factor g(r).
(r + 2)**2
Let l(w) be the second derivative of w**5/42 + w**4/7 + 4*w**3/21 + 3*w**2 + 5*w. Let h(v) be the first derivative of l(v). Factor h(z).
2*(z + 2)*(5*z + 2)/7
Let w(y) be the second derivative of -1/48*y**4 + 0 - y + 1/8*y**2 + 1/80*y**5 - 1/24*y**3. Let w(q) = 0. Calculate q.
-1, 1
Suppose 2*f = 4*n - 2, 4*n + 3*f = n + 24. Suppose h - 2*h + 4 = 0. Suppose i**h - 3 + n = 0. Calculate i.
0
Let n = -1128 - -4481/4. Let i = n - -8. Factor -1/4*u - i*u**3 + 1/2*u**2 + 0.
-u*(u - 1)**2/4
Suppose 0 = -5*x + 11 + 9. Let o(h) be the second derivative of 0*h**5 + 0*h**3 + 0*h**2 + 0 + 1/30*h**6 + h + 0*h**x. Suppose o(c) = 0. Calculate c.
0
Let 2/11*c**2 + 0 - 6/11*c = 0. Calculate c.
0, 3
Let k(l) = -l - 13. Let m be k(-15). Let h(r) be the second derivative of 17/70*r**5 + 11/21*r**3 - 1/2*r**4 + 0 - 2/7*r**m - 3*r - 1/21*r**6. Factor h(x).
-2*(x - 1)**3*(5*x - 2)/7
Factor -5/3 - 4/3*y + 1/3*y**2.
(y - 5)*(y + 1)/3
Let s(a) be the second derivative of a**4/4 - a**3/2 - a**2 - 3*a. Let k(p) = -p**2. Let r(f) = 4*k(f) + s(f). What is h in r(h) = 0?
-2, -1
Let r(y) = -2*y - 4. Let f be r(-3). Let -4*t**2 + 0*t + 0*t**f + 2*t + 2*t**3 = 0. Calculate t.
0, 1
Let w(i) be the first derivative of -5*i**4/8 - 5*i**3/3 + 5*i**2/4 + 5*i + 17. Solve w(d) = 0 for d.
-2, -1, 1
Suppose -159*h = -156*h. Suppose 3/4 - 3/4*k**2 + h*k = 0. Calculate k.
-1, 1
Factor 8/7*o**3 - 4/7*o + 0*o**2 - 4/7*o**5 + 0 + 0*o**4.
-4*o*(o - 1)**2*(o + 1)**2/7
Suppose -24 = -0*w - 3*w - 3*b, w - 4 = -5*b. Let o be (-3)/w - (-2)/6. Factor 0 + 1/3*g**3 + 0*g - 1/3*g**4 + o*g**2.
-g**3*(g - 1)/3
Let q(u) be the third derivative of 1/210*u**7 + 0*u**3 + 1/120*u**6 + 0*u - 8*u**2 + 0 - 1/60*u**5 - 1/24*u**4. Determine z, given that q(z) = 0.
-1, 0, 1
Let m(q) be the second derivative of q**7/525 - q**5/150 - q**2 - q. Let c(d) be the first derivative of m(d). Factor c(s).
2*s**2*(s - 1)*(s + 1)/5
Let v be (15/(-45))/((-2)/12). Suppose 0*u - v*u = 0. Find b such that 4/7*b**2 - 2/7 + 0*b - 2/7*b**4 + u*b**3 = 0.
-1, 1
Let i(x) be the third derivative of x**7/840 + x**6/160 - x**4/24 + 4*x**2. Factor i(o).
o*(o - 1)*(o + 2)**2/4
Suppose -3*s = -2*t + s - 12, 3*s = t + 10. Find b such that t*b**3 - 2*b**5 + 0*b**4 + 0*b**4 = 0.
-1, 0, 1
Let h(m) = -3*m**2 - 4*m - 3. Let i(j) = -3*j**2 - 3*j - 3. Let k(v) = 3*h(v) - 2*i(v). Factor k(n).
-3*(n + 1)**2
Let r(b) = b**3 - 16*b**2 + 15*b + 4. Let g be r(15). Suppose -4*d + 4*q = 0, 5*q = 2*d + g + 2. Let -2/5 + 4/5*w - 2/5*w**d = 0. Calculate w.
1
Let s(m) be the second derivative of m**5/100 + 3*m**4/20 + 4*m**3/5 + 8*m**2/5 - m. Find r, given that s(r) = 0.
-4, -1
Let y = -5 - -10. Suppose -4*t + y*t - 2 = 0. Let 2/3*o - 1/3*o**t - 1/3 = 0. What is o?
1
Let j be (0 - (-2 - 1)) + -1. Let -5*w**2 + w**2 + 14*w**2 - 2 + j*w + 6*w**3 = 0. What is w?
-1, 1/3
Let 0 + 12/7*k - 3/7*k**3 - 9/7*k**4 + 36/7*k**2 = 0. What is k?
-2, -1/3, 0, 2
Let k(i) be the third derivative of 3*i**6/40 + i**5/10 + 4*i**2. Factor k(v).
3*v**2*(3*v + 2)
Suppose -6 = 3*t - 6*t. Let d(y) be the first derivative of -1 + 0*y**t + 7/5*y**5 + 0*y - 9/4*y**4 + 2/3*y**3. Solve d(c) = 0 for c.
0, 2/7, 1
Let c = -291 - -293. Factor 0 - g + 1/2*g**c.
g*(g - 2)/2
Let g be ((-1)/6)/(28/6 + -5). Factor 1/2*p**4 + 0*p + 0 + g*p**5 + 0*p**2 + 0*p**3.
p**4*(p + 1)/2
Let k be 10 + -5 + (-2 - 1). Factor -4*j + j**5 + j**k - j**4 + 2*j**3 + 3*j + 3*j - 5*j**3.
j*(j - 2)*(j - 1)*(j + 1)**2
Suppose 0 = 2*m - m - 4. Let x(a) be the third derivative of -1/24*a**m - 2*a**2 + 0 + 1/60*a**5 - 1/6*a**3 + 0*a + 1/120*a**6. What is k in x(k) = 0?
-1, 1
Determine w, given that -81*w**3 - 3*w + 3 + 6*w**2 + 84*w**3 - 9 = 0.
-2, -1, 1
Let y(b) be the first derivative of -5*b**4/4 - 10*b**3/3 + 11. Factor y(z).
-5*z**2*(z + 2)
Let b(p) = 4 + 1 - 9*p + 2*p**2 - p**2. Let l be b(9). Factor -1/3*v**2 - v**3 - 1/3*v**l - v**4 + 0*v + 0.
-v**2*(v + 1)**3/3
Let p = 130 + -127. Factor -2/5*x - 4/5 + 4/5*x**2 + 2/5*x**p.
2*(x - 1)*(x + 1)*(x + 2)/5
Let x(s) = 2*s**3 + 10*s**2 - 9*s - 3. Let l(r) = r**3 - 1. Let y(q) = 5*l(q) - x(q). Factor y(m).
(m - 2)*(m - 1)*(3*m - 1)
Let d(r) be the third derivative of 0 + 1/10*r**5 + 1/30*r**6 + 0*r + 0*r**3 + 2*r**2 - 1/6*r**4. Let d(m) = 0. Calculate m.
-2, 0, 1/2
Let z(g) be the first derivative of 2*g**3/33 - 4*g**2/11 - 8. Find y such that z(y) = 0.
0, 4
Factor 22*d**3 - 6*d**3 - 4*d**3 + 6*d**2 - 4*d**3 + 2*d**4.
2*d**2*(d + 1)*(d + 3)
Let k(x) be the third derivative of -x**9/211680 - x**5/30 + 3*x**2. Let n(a) be the third derivative of k(a). Find i such that n(i) = 0.
0
Let g(x) be the second derivative of -1/24*x**4 + x - 1/240*x**5 + 0 + 1/2*x**2 - 1/6*x**3. Let m(p) be the first derivative of g(p). Factor m(h).
-(h + 2)**2/4
Let u(v) = v**3 + v + 1. Let r(z) = z - 5*z - 9 - 9*z**3 - 3*z**3 - 2*z. Let x(l) = r(l) + 9*u(l). Let x(d) = 0. Calculate d.
-1, 0, 1
Solve -9/4*j**2 + 3*j**3 - 3/4*j**4 + 0 + 0*j = 0.
0, 1, 3
Let l = 3 + -1. Suppose 4*d = -0*d. Solve d*s - 1/4*s**l + 1/4 = 0 for s.
-1, 1
Let x(c) = 9*c + 3. Let q(o) = o**2 + 8*o + 3. Let i(w) = 3*q(w) - 2*x(w). Factor i(r).
3*(r + 1)**2
Determine y, given that -9 - 4*y + 4*y + 1 - 4*y**3 + 12*y = 0.
-2, 1
Let u(i) be the third derivative of i**7/2520 - i**5/120 + i**4/36 + i**3/2 + 3*i**2. Let l(v) be the first derivative of u(v). Factor l(g).
(g - 1)**2*(g + 2)/3
Let d = 4 - 1. Let w(u) = -u**3 + 3*u**2 + 2*u - 2. Let x be w(d). Factor -o - x*o**3 + 2*o**4 + o + 0*o.
2*o**3*(o - 2)
Factor 0 + 1/3*r**2 - 1/6*r**3 - 1/6*r.
-r*(r - 1)**2/6
Let n = 6/29 - -17/58. Let m = 3 - 3. Find x, given that -1/2*x**2 + m*x + n = 0.
-1, 1
Let x = -1/12 - -1/3. Let a(l) be the first derivative of 2/3*l**3 - x*l**4 + 2 - 2*l + 1/2*l**2. Suppose a(f) = 0. What is f?
-1, 1, 2
Let c(d) = -2*d**2 - 13*d + 64. Let u(q) = -5*q**2 - 40*q + 192. Let w(k) = 8*c(k) - 3*u(k). Suppose w(h) = 0. Calculate h.
8
Let g(t) be the third derivative of t**6/360 + t**5/40 - t**4/6 + t**3 - 2*t**2. Let d(m) be the first derivative of g(m). Factor d(b).
(b - 1)*(b + 4)
Factor 18/5*w**5 + 0 + 56/5*w**3 + 12*w**4 + 16/5*w**2 + 0*w.
2*w**2*(w + 2)*(3*w + 2)**2/5
Let a(c) = -2*c**2 + 5*c + 3. Let f be a(3). Suppose 4*p - r - 6 = f, 2*p + 0 = 3*r - 2. Suppose -2/7*m**p + 0 - 4/7*m = 0. Calculate m.
-2, 0
Let q = 5081/40 + -127. Let z(s) be the second derivative of 0 - 1/8*s**3 - s + 1/168*s**7 + q*s**6 + 1/40*s**5 - 1/8*s**2 - 1/24*s**4. Factor z(r).
(r - 1)*(r + 1)**4/4
Let z(s) be the first derivative of -2*s + 1/12*s**3 + 1/48*s**4 + 1 + 1/8*s**2. Let l(w) be the first derivative of z(w). Find x, given that l(x) = 0.
-1
Let -2/9*g**2 - 2/3*g + 8/9 = 0. What is g?
-4, 1
Let t = 25/57 - 2/19. Factor 2/3 + n - n**3 - t*n**4 - 1/3*n**2.
-(n - 1)*(n + 1)**2*(n + 2)/3
Suppose -4*d + 1 = -3*v, -5*d - 2*v - v - 19 = 0. Let r = 3 + d. Solve 3*s**2 + 4*s - s**2 + 3 - r = 0 for s.
-1
Let h(n) = -3*n**4 + 3*n**3 + 9*n**2 + 3*n. Let a(m) = -m**4 + 3*m + 0*m - m**3 - 3*m. Let p(x) = -6*a(x) + h(x). Factor p(u).
3*u*(u + 1)**3
Factor 4/7*a**2 + 0 + 2/7*a**3 + 0*a.
2*a**2*(a + 2)/7
Let j be (27/(-6))/((-231)/44). Determine k, given that j*k**2 + 2/7 - 6/7*k - 2/7*k**3 = 0.
1
Let u(t) be the first derivative of t**7/315 + t**6/180 - t**5/90 - t**4/36 - 2*t**2 + 1. Let d(l) be the second derivative of u(l). Factor d(m).
2*m*(m - 1)*(m + 1)**2/3
Let u(j) be the first derivative of 4*j**7/105 - 23*j**6/300 + j**5/150 + j**4/30 + 2*j**2 + 1. Let m(f) be the second derivative of u(f). Solve m(d) = 0.
-1/4, 0, 2/5, 1
Let y(n) be the second derivative of 0*n**2 + 1/8*n**4 + 1/4*n**3 - 2*n + 0. Suppose y(q) = 0. What is q?
-1, 0
Let y(g) be the third derivative of -g**7/280 - g**6/120 - 5*g*