Factor 10/7*m**2 - 2/7*m**3 + 2 + 26/7*m.
-2*(m - 7)*(m + 1)**2/7
Let r(j) be the first derivative of -1/14*j**4 - 2/21*j**3 - 7 + 0*j + 2/7*j**2. Suppose r(w) = 0. Calculate w.
-2, 0, 1
Let f = 41/44 + -2/11. Solve -3/4 + 3/2*i - f*i**2 = 0 for i.
1
Let q(s) be the third derivative of -s**7/525 + s**6/150 - s**5/150 + 3*s**2. Let q(n) = 0. Calculate n.
0, 1
Let k(f) be the second derivative of f**9/30240 - f**8/6720 + f**7/5040 - f**4/6 - 2*f. Let w(m) be the third derivative of k(m). Suppose w(d) = 0. Calculate d.
0, 1
Let t = -5 + 5. Factor 4 + 2*l**2 - l**2 + 4*l + t*l**2.
(l + 2)**2
Let z(g) be the third derivative of g**8/10080 + g**7/1260 + g**6/360 - g**5/30 + 2*g**2. Let a(x) be the third derivative of z(x). Let a(t) = 0. Calculate t.
-1
Let c(d) be the third derivative of d**5/30 + d**4/4 - 4*d**3/3 - 17*d**2. Find h, given that c(h) = 0.
-4, 1
Let c(x) = 80*x**2 - 90*x + 80. Let j(d) = 9*d**2 - 10*d + 9. Let p(l) = 4*c(l) - 35*j(l). Factor p(u).
5*(u - 1)**2
Let q(h) be the third derivative of 0 - 6*h**2 + 0*h**3 + 0*h**4 + 0*h - 1/60*h**6 - 1/30*h**5. Factor q(w).
-2*w**2*(w + 1)
Let o(l) be the first derivative of l**6 - 9*l**5/10 - 39*l**4/8 + l**3/2 + 27*l**2/4 + 3*l - 9. Let o(w) = 0. Calculate w.
-1, -1/4, 1, 2
Let u = -6 - -6. Let a be (-12)/(-48) - (0 + u). Solve 1/2*p**4 + 1/4*p - 1/2*p**2 + 0 - a*p**3 = 0.
-1, 0, 1/2, 1
Suppose -5*v = 2*n - n + 4, 4*n = -4*v - 16. Let g be 0 + n + 7 + 0. Solve -2/5*a - 7/5*a**4 + 2/5*a**g + 0 + 7/5*a**2 = 0.
-1, 0, 2/7, 1
Let c(o) = -o**2 - 8*o + 2. Let b be c(-8). Find y such that -2*y - y**b + 3*y**4 + 3*y**3 - y - 2*y**2 + 0*y = 0.
-1, 0, 1
Let h(f) be the second derivative of -9*f + 0 - 2/27*f**3 + 1/45*f**5 - 1/135*f**6 + 1/54*f**4 + 0*f**2. Solve h(l) = 0 for l.
-1, 0, 1, 2
Let w be 1*6*(-7)/(-14). Determine x, given that -3*x**2 + x - 3*x**2 + 3*x**w - 2*x**4 + x**4 + 3*x**2 = 0.
0, 1
Let i(f) = -4*f**3 + 39*f**2 - 12*f - 12. Let o(s) = s**3 - 13*s**2 + 4*s + 4. Let u(m) = -4*i(m) - 11*o(m). Determine g, given that u(g) = 0.
-2/5, 1, 2
Find b, given that 3/2*b**3 - 3/2*b + 5/2*b**2 - 2 - 1/2*b**4 = 0.
-1, 1, 4
Suppose 3*x - 3*m - 15 = 0, 4*x - 2*m = 13 + 13. Let -x*l + 4 + 6*l - l**2 - l**2 = 0. Calculate l.
-2, 1
Let c = 3/101 - -74/909. Let y(o) be the third derivative of 7/72*o**4 + 0*o - 1/36*o**5 - c*o**3 + 0 + 2*o**2. Factor y(j).
-(j - 1)*(5*j - 2)/3
Let y(c) = 9 + 0*c + 4*c - 3*c - 2*c. Let u be y(7). Factor 3*n**2 + 2*n**3 - 3*n**u - 4*n**2.
2*n**2*(n - 2)
Let z be (-8)/(-76) - 72/(-38). Factor 0 + 2/9*h**z + 4/9*h - 2/9*h**3.
-2*h*(h - 2)*(h + 1)/9
Let v = 0 + 10. Let a(m) = -4*m**4 + 20*m**3 - 8*m**2 + 2*m. Let y(c) = c**3 - c + c. Let b(g) = v*y(g) - a(g). Find o, given that b(o) = 0.
0, 1/2, 1
Suppose 3*r - z + 1 = 4*r, -5*z = 4*r - 3. Suppose 0 = -o, 0 = -4*u + o + 3*o + 8. Factor 2*q**4 - q**r - q**5 + q**2 - 2*q**u + q.
-q*(q - 1)**3*(q + 1)
Let -6*r**4 + 9*r**4 - r**5 - 2*r**2 - 3*r**3 + 3*r**2 = 0. Calculate r.
0, 1
Let m(w) be the third derivative of -13/840*w**7 + 3*w**2 + 1/48*w**4 + 0 - 3/160*w**6 + 0*w**3 + 0*w + 1/240*w**5 - 5/1344*w**8. Factor m(p).
-p*(p + 1)**3*(5*p - 2)/4
Let s(n) be the third derivative of -n**8/280 - 13*n**7/1260 - n**6/120 + 5*n**4/12 - 7*n**2. Let t(f) be the second derivative of s(f). Factor t(i).
-2*i*(3*i + 1)*(4*i + 3)
Let b = -8 + 10. Suppose -2*z - 3*z - 6*z**b + 2*z + 3*z**5 + 6*z**4 = 0. What is z?
-1, 0, 1
Determine r so that -8/17*r + 0 - 2/17*r**2 = 0.
-4, 0
Let r(n) be the third derivative of -n**8/784 + n**7/490 + n**6/140 - n**5/70 - n**4/56 + n**3/14 + 5*n**2. Factor r(a).
-3*(a - 1)**3*(a + 1)**2/7
Let k(c) be the first derivative of -3*c**4/4 + 2*c**3/3 + c**2/2 - 3. Factor k(p).
-p*(p - 1)*(3*p + 1)
Let t(k) be the third derivative of 0 - 1/180*k**5 + 0*k + 0*k**3 + 6*k**2 + 0*k**4. Factor t(d).
-d**2/3
Suppose -5*c = -4*c - 7. Solve 3*n**2 - 4*n**2 + c*n - 2*n**2 - 4*n = 0 for n.
0, 1
Let x(a) be the first derivative of -a**6/6 - a**5/5 + 3*a**4/4 + a**3/3 - a**2 + 4. Factor x(r).
-r*(r - 1)**2*(r + 1)*(r + 2)
Factor -2/3 - 4/3*z - 2/3*z**2.
-2*(z + 1)**2/3
Let f = 4 - -8. Suppose 6*m = m + 25. Let f*i**3 - 10*i**4 + 3*i**m - i - 6*i**2 + i + i = 0. Calculate i.
0, 1/3, 1
Let m(v) = 39*v**4 - 6*v**3 - 39*v**2 + 14*v + 4. Let r(u) = 155*u**4 - 25*u**3 - 155*u**2 + 55*u + 15. Let f(p) = -15*m(p) + 4*r(p). Factor f(a).
5*a*(a - 1)*(a + 1)*(7*a - 2)
Let v(t) be the first derivative of 2/11*t - 2/33*t**3 - 3 + 1/11*t**2 - 1/22*t**4. Factor v(y).
-2*(y - 1)*(y + 1)**2/11
Let g(f) be the third derivative of f**5/80 + f**4/32 - f**3/4 + 7*f**2. Factor g(q).
3*(q - 1)*(q + 2)/4
Let d = 27 - 25. Factor 0*j - 1/5*j**d - 1/5*j**3 + 0.
-j**2*(j + 1)/5
Let m(b) be the first derivative of -b**4 - 8*b**3/3 + 6*b**2 + 76. Find h such that m(h) = 0.
-3, 0, 1
Let m(i) be the first derivative of 13/4*i**3 + 3*i + 3/20*i**5 - 9/2*i**2 - 9/8*i**4 - 7. Factor m(t).
3*(t - 2)**2*(t - 1)**2/4
Let l(u) = -u**2 + 5*u + 11. Let m be ((-3)/(-6))/(3/(-6)). Let r(k) = -k**2 - k + 1. Let w(h) = m*l(h) + 3*r(h). Solve w(x) = 0 for x.
-2
Find s, given that 47*s**3 + 23*s**2 - 108 - 7*s**3 - 5*s**5 - 28*s**4 - 108*s + 9*s**5 + 49*s**2 = 0.
-1, 3
Let z be (3/(-2))/(5/(-10)). Let c(l) be the second derivative of -l + 1/3*l**z + 0 + 1/12*l**4 + 0*l**2. Factor c(v).
v*(v + 2)
Let r(g) = 8*g**5 + 19*g**4 + 24*g**3 + 13*g**2 + 5*g. Let t(w) = -20*w**5 - 48*w**4 - 60*w**3 - 32*w**2 - 12*w. Let v(p) = -12*r(p) - 5*t(p). Factor v(b).
4*b**2*(b + 1)**3
Let a(m) be the second derivative of m**6/15 - m**5/5 - m**4/2 + 4*m - 2. Factor a(l).
2*l**2*(l - 3)*(l + 1)
Let m(g) = -6*g**4 + 6*g**3 - 4*g**2 - 6*g + 5. Let i(t) = t**4 - t**3 + t**2 + t - 1. Let w(j) = -5*i(j) - m(j). Determine u so that w(u) = 0.
-1, 0, 1
Factor -5*d**3 - 13*d**3 - 3*d**2 + 3*d**4 - 12*d**3 + 3*d + 27*d**3.
3*d*(d - 1)**2*(d + 1)
Let i be 14/(-4) + 2 - -2. Suppose -1 = -3*x - 1. What is n in x + 0*n + i*n**2 + 0*n**3 - 1/2*n**4 = 0?
-1, 0, 1
Find d, given that 4/5*d**2 - 16/5*d + 12/5 = 0.
1, 3
Let g(m) be the second derivative of -m**7/63 + m**6/45 + m**5/15 - m**4/9 - m**3/9 + m**2/3 - 2*m. Factor g(u).
-2*(u - 1)**3*(u + 1)**2/3
Let n(s) be the third derivative of -s**6/40 - s**5/20 + s**4/4 - 3*s**2. Factor n(r).
-3*r*(r - 1)*(r + 2)
Let h = -5600 + 587953/105. Let r = -1/21 - h. Determine w so that 2/5*w**4 + 0*w**3 + r + 0*w - 4/5*w**2 = 0.
-1, 1
Let u be (2/5*5)/9. Let a be 3*1 + 13/(-9). Factor 10/9*n + 2/3*n**3 + u + a*n**2.
2*(n + 1)**2*(3*n + 1)/9
Let o(f) = -f**2 + f + 2. Let y be (-56)/(-16) - 3/2. Let x be o(y). Factor -2/3*c**5 - 2/3*c**4 + 0*c**2 + 0*c**3 + 0 + x*c.
-2*c**4*(c + 1)/3
Let s = -894 - -5347/6. Let r = 3 + s. Factor -r + 1/2*q**2 + 5/6*q**3 - 1/6*q + 1/3*q**4.
(q + 1)**3*(2*q - 1)/6
Let r(s) be the third derivative of 1/525*s**7 - 1/15*s**3 + 1/150*s**6 + 0*s**5 + 0 + 6*s**2 - 1/30*s**4 + 0*s. Suppose r(l) = 0. Calculate l.
-1, 1
Let u be (0 + -3)*(-4)/3. Suppose 5*x + 4*j = 8, 3*x - 3*j = -3 - 3. Determine a so that a**4 - 4*a + 6*a**2 + 0*a**u - 4*a**3 + 1 + x*a**3 = 0.
1
Let v(k) be the third derivative of 2/105*k**7 + 3*k**2 - 5/6*k**4 + 0 - 4/3*k**3 + 1/30*k**6 - 1/5*k**5 + 0*k. Factor v(s).
4*(s - 2)*(s + 1)**3
Let m(j) be the first derivative of -8*j**6/15 - 4*j**5/5 + j**4/12 + j**3/6 + 3*j + 3. Let l(r) be the first derivative of m(r). Determine d so that l(d) = 0.
-1, -1/4, 0, 1/4
Let a(v) be the first derivative of 2/3*v + 1/3*v**2 + 2 + 1/18*v**3. Factor a(r).
(r + 2)**2/6
Let l(j) be the third derivative of j**9/756 - j**7/105 + j**5/30 + j**3 - 8*j**2. Let i(h) be the first derivative of l(h). What is b in i(b) = 0?
-1, 0, 1
Factor 4/3*w - 1/3*w**3 + 0*w**2 + 0.
-w*(w - 2)*(w + 2)/3
Let p be 12/40*5/6. What is j in -1/4*j**3 + 0 + 0*j**2 + p*j = 0?
-1, 0, 1
Let v(p) = p**2 + p - 1. Let z(k) = -5*k**2 - 9*k + 6. Let o(n) = 6*v(n) + z(n). Factor o(j).
j*(j - 3)
Let p(k) = -9*k**3 + k**2 - 8*k - 8. Let h(n) = -n**3 - n - 1. Let a(c) = -40*h(c) + 5*p(c). Solve a(f) = 0.
0, 1
Let f be ((-1)/(-5) - (-42)/(-60))*0. Factor 2/3*p**3 + 0 + 0*p + f*p**2.
2*p**3/3
Let f(d) be the third derivative of -7/120*d**5 - 1/24*d**4 + 0*d - 1/48*d**6 + 3*d**2 + 0 + 0*d**3. Suppose f(s) = 0. What is s?
-1, -2/5, 0
Let l = -81347/5 + 16172. Let i = 99 + l. Factor 2