 u(z).
-2*z**4
Let u(s) = s**2 + 11*s + 4. Let r be u(-11). Factor -9*o**2 + 1 + 3*o**4 + 6*o**3 - 6*o - r + 9*o**2.
3*(o - 1)*(o + 1)**3
Let i be 9/(-45) + (21/5 - -1). Let j(s) be the first derivative of 0*s**2 - 1/12*s**3 + 1/16*s**4 - 1/24*s**6 - 2 + 1/20*s**i + 0*s. Factor j(w).
-w**2*(w - 1)**2*(w + 1)/4
Factor 0 - 2/3*k**2 + 4/3*k - 2*k**3.
-2*k*(k + 1)*(3*k - 2)/3
Let r = 0 + 5. Let x = 5 - r. Factor -3*i**4 - 2*i**4 + i**3 + x*i**2 + 2*i**2 - i**2 + 3*i**5.
i**2*(i - 1)**2*(3*i + 1)
Let n(f) be the first derivative of 1/12*f**3 + 0*f**2 + 3 - 1/4*f. Suppose n(o) = 0. What is o?
-1, 1
Let r(k) be the second derivative of -k**7/126 + k**6/45 + k**5/20 + 6*k. Factor r(q).
-q**3*(q - 3)*(q + 1)/3
Let c(a) be the first derivative of -a**4/10 + 2*a**3/5 - 3*a**2/5 + 2*a/5 - 5. Let c(n) = 0. What is n?
1
Let n(j) be the second derivative of -j + 3/4*j**2 + 0 + 1/40*j**5 - 5/12*j**3 + 1/24*j**4. Factor n(t).
(t - 1)**2*(t + 3)/2
Let r(v) be the third derivative of 0*v + 0 + 1/60*v**5 + 0*v**3 + 1/12*v**4 + v**2 - 1/120*v**6. Factor r(n).
-n*(n - 2)*(n + 1)
Let l(h) be the first derivative of -h**4/4 + 4*h**3/3 - 3*h**2/2 + 19. Solve l(g) = 0 for g.
0, 1, 3
Factor 4/7*x**3 - 12/7*x + 0*x**2 - 8/7.
4*(x - 2)*(x + 1)**2/7
Let q(t) be the third derivative of t**11/665280 + t**5/60 - 6*t**2. Let m(u) be the third derivative of q(u). Suppose m(c) = 0. Calculate c.
0
Factor 0 - 14/5*n**3 + 12/5*n**2 + 0*n - 2*n**4.
-2*n**2*(n + 2)*(5*n - 3)/5
Let x = -9 - -9. Let o(d) be the third derivative of 3*d**2 + 4/33*d**3 + 1/33*d**4 + 1/330*d**5 + x*d + 0. Factor o(r).
2*(r + 2)**2/11
What is i in -1/2*i**2 + 0*i + 1/2 = 0?
-1, 1
Let u be 6/8 - (259/70 + -3). Let t(g) be the third derivative of -u*g**5 - 1/18*g**3 + 1/12*g**4 + 3*g**2 + 1/90*g**6 + 0*g + 0. Suppose t(w) = 0. What is w?
1/4, 1
Let z be (-2)/(-6) - (-3 - -3). Let v be 1/6*16/4. Find m such that 1/3*m + 0*m**2 - v*m**3 + 0 + z*m**5 + 0*m**4 = 0.
-1, 0, 1
Suppose -u + 20 = 5*a, -4*u - 20 = a - 6*a. Suppose 5*n + 2*n - 14 = u. Suppose -4/3*c + 8/3*c**4 + 2/3 - n*c**2 + 8/3*c**3 = 0. Calculate c.
-1, 1/2
Let b(p) = -14*p + 101. Let g be b(7). Find o such that 1/2 - 1/2*o - 1/2*o**2 + 1/2*o**g = 0.
-1, 1
Let q(d) be the third derivative of -d**10/226800 + d**8/10080 - d**7/3780 + d**5/30 + 5*d**2. Let k(h) be the third derivative of q(h). Factor k(n).
-2*n*(n - 1)**2*(n + 2)/3
Let i = 46 + -39. Let n(b) be the second derivative of -2/189*b**i - 3*b - 2/45*b**5 + 0*b**3 + 1/54*b**4 + 0 + 1/27*b**6 + 0*b**2. Factor n(c).
-2*c**2*(c - 1)**2*(2*c - 1)/9
Let f(v) = 23*v**2 + 41*v + 7. Let o(y) = 8*y**2 + 14*y + 2. Suppose m - 12 = 3*m. Let u(h) = m*f(h) + 17*o(h). Find z such that u(z) = 0.
-2
Let f = 29 - 25. Let c(w) be the first derivative of 0*w + 1/2*w**5 - 1/4*w**f - 1/4*w**6 + 2 + 0*w**3 + 0*w**2. Factor c(i).
-i**3*(i - 1)*(3*i - 2)/2
Let o(t) be the third derivative of t**6/600 - t**5/100 + 2*t**3/15 - t**2. Factor o(g).
(g - 2)**2*(g + 1)/5
Let s(i) = -i**3 + 11*i**2 - i + 9. Let q be s(11). Let m be q/(-15)*(-4 - -9). Let m + 2/3*u**2 + 4/3*u = 0. Calculate u.
-1
Let i(h) be the second derivative of h**7/63 + h**6/9 + 3*h**5/10 + 7*h**4/18 + 2*h**3/9 - h - 8. Factor i(f).
2*f*(f + 1)**3*(f + 2)/3
Let f(l) be the third derivative of -l**8/336 - l**7/35 - 11*l**6/120 - l**5/30 + l**4/2 + 4*l**3/3 - 2*l**2. Factor f(o).
-(o - 1)*(o + 1)*(o + 2)**3
Let o(y) be the second derivative of -1/24*y**4 + 1/12*y**3 - 1/10*y**5 + 1/8*y**2 - y + 0 - 7/120*y**6 - 1/84*y**7. Factor o(b).
-(b + 1)**4*(2*b - 1)/4
Suppose -3/7*d**4 + 3/7*d**3 + 0*d + 1/7*d**5 + 0 - 1/7*d**2 = 0. Calculate d.
0, 1
Let o be 180/42 - 10*(-6)/(-15). Determine x so that -2/7*x**4 + o*x**2 + 0*x + 0*x**3 + 0 = 0.
-1, 0, 1
Let n(j) be the second derivative of -j**4/36 - 2*j. Let n(v) = 0. What is v?
0
Let y(b) = b**3 - 5*b**2 + 7*b - 8. Let x(j) = -3 + j**3 - 3*j - 3*j**2 - 1 + 0*j**3 + 6*j. Let d(q) = -5*x(q) + 3*y(q). Let d(c) = 0. Calculate c.
-2, 1
Let b(k) be the third derivative of -k**6/360 + k**5/90 + k**4/72 - k**3/9 + 3*k**2. Factor b(h).
-(h - 2)*(h - 1)*(h + 1)/3
Let u(d) be the second derivative of -d**6/40 + 3*d**5/80 - 10*d. Factor u(y).
-3*y**3*(y - 1)/4
Let m(h) = 2*h**5 + 4*h**4 + 5*h**3 - 9*h**2 - 12*h. Let j(v) = 3*v**5 + 8*v**4 + 9*v**3 - 19*v**2 - 23*v. Let l(i) = 3*j(i) - 5*m(i). Solve l(s) = 0.
-1, 0, 3
What is j in 9*j - 5*j - j + 2*j - 5*j**3 = 0?
-1, 0, 1
Factor 1/4*k**3 + 0 - k**4 + k**2 - 1/4*k.
-k*(k - 1)*(k + 1)*(4*k - 1)/4
Factor 4 + 12*x**4 + 0 + 8*x**5 + 18*x**2 - 34*x**2 - 8*x**3.
4*(x - 1)*(x + 1)**3*(2*x - 1)
Let r(b) = 5*b**2 - 2*b**2 + b**2 - 4*b**3 - 3*b - b**2 - 7. Let i(f) = 3*f**3 - 3*f**2 + 2*f + 6. Let v(z) = -3*i(z) - 2*r(z). Factor v(s).
-(s - 2)**2*(s + 1)
Let n be ((-6)/(-9))/((-3)/63). Let l = 18 + n. Suppose 1/6*m**5 - 1/3*m**3 - 1/3*m**l - 1/3 + 1/6*m + 2/3*m**2 = 0. Calculate m.
-1, 1, 2
Find z such that 4/3*z - 2/3*z**2 - 2/3 = 0.
1
Suppose 2*o - 11 - 15 = 0. Suppose 4*l - o = 2*y - 3, 4*y = -5*l + 6. Factor -v**l + 8*v - 27 + 10*v - 2*v**2.
-3*(v - 3)**2
Let w be 28/12 + 2/3. Suppose 0 = -w*p + 4*j - 9, 5*j = p + 7 + 7. Solve -1/4*t**2 + t - p = 0 for t.
2
Suppose -6*z = -7*z + 12. Factor 0*b - z*b**3 - 2*b**2 + 8*b**2 - b + 8*b**4.
b*(2*b - 1)**3
Let l(w) = -w**3 - 2*w**2 - w - 3. Suppose -2 = -4*r - 14. Let g be l(r). Factor -4*v + g - 7*v + 5*v - 3*v**2.
-3*(v - 1)*(v + 3)
Let i = -28 - -28. Suppose -15 = 5*q - i*d - 3*d, 3*q - d = -5. Factor -2/5*h + 2/5*h**3 + q + 0*h**2.
2*h*(h - 1)*(h + 1)/5
Let b = -3/1229 - 126581/2458. Let a = b - -56. Factor a*t - 7/2*t**2 - 1.
-(t - 1)*(7*t - 2)/2
Let g(z) = -890*z**2 - 215*z - 55. Let c(a) = -33*a**2 - 8*a - 2. Let o(n) = -55*c(n) + 2*g(n). Let o(j) = 0. What is j?
-2/7, 0
Factor 21*u**3 - 21*u**2 - 6*u - 3*u - 54 + 3*u**4 + 46*u**2 + 14*u**2.
3*(u - 1)*(u + 2)*(u + 3)**2
Let x(a) = 4*a**2 - 2*a - 3. Let i be x(-1). Let o(n) be the third derivative of -1/32*n**4 + 2*n**2 + 1/80*n**5 + 0 + 0*n**i + 0*n. Solve o(h) = 0.
0, 1
Let l(c) = -50*c**5 - 240*c**4 - 415*c**3 - 332*c**2 - 117*c - 19. Let z(s) = -s**3 - s + 1. Let m(x) = 2*l(x) + 6*z(x). What is n in m(n) = 0?
-2, -1, -2/5
Let s(x) = -3*x**3 + x**2 - 3*x - 2. Let u be s(-2). Let n = u - 23. Factor -6*v + n*v**2 + 4*v**3 - 3 - 1 - 3*v**2.
2*(v - 1)*(v + 2)*(2*v + 1)
Let m(j) be the first derivative of 2*j - 1/6*j**3 + 1/20*j**5 - 2 + 0*j**2 + 0*j**4. Let f(o) be the first derivative of m(o). Factor f(v).
v*(v - 1)*(v + 1)
Let j(k) be the first derivative of 1/120*k**6 + 1/40*k**5 + 2*k - 1 - 1/12*k**3 + 0*k**4 - 1/8*k**2. Let x(m) be the first derivative of j(m). Factor x(h).
(h - 1)*(h + 1)**3/4
Let l(c) = -5 - 2*c**3 + 0*c**3 - 2*c**2 - c**2 + 2*c + c**3. Let x be l(-4). Factor -2/7 + 2/7*a + 2/7*a**2 - 2/7*a**x.
-2*(a - 1)**2*(a + 1)/7
Suppose 0*o = 2*o - 18. Factor -o*y**2 + 11*y**4 + y**2 + 2*y**2 - 2*y**4 + 9*y - 3*y**5 - 6*y**3 - 3.
-3*(y - 1)**4*(y + 1)
Suppose -24 = -5*m + 6. Let p(s) be the third derivative of -1/84*s**4 + 0*s + 0 - 2*s**2 + 1/210*s**5 + 1/420*s**m - 1/21*s**3. Suppose p(j) = 0. What is j?
-1, 1
Suppose 2*m = -10, 0*m + 5 = -5*q - m. Let g(t) be the third derivative of -4/3*t**3 + 0*t + t**4 - 3/10*t**5 + 2*t**2 + q. Suppose g(z) = 0. What is z?
2/3
Let g = 15 + -15. Factor g*o**2 + 1/5*o**4 - 1/5*o**3 + 0*o + 0.
o**3*(o - 1)/5
Find f, given that 20/7*f + 16/7*f**2 + 8/7 + 4/7*f**3 = 0.
-2, -1
Let k(u) be the second derivative of -u**6/90 - 2*u**5/15 - 5*u**4/12 + 4*u**3/9 + 8*u**2/3 - 42*u. Factor k(a).
-(a - 1)*(a + 1)*(a + 4)**2/3
Let d(h) be the second derivative of -64/105*h**6 + 4*h - 2/7*h**3 - 32/49*h**7 - 4/7*h**2 + 34/21*h**4 + 51/35*h**5 + 0. Find a, given that d(a) = 0.
-1, -2/3, -1/4, 1/4, 1
Let u(n) = -n. Let r(k) = -2*k + 1. Let s(h) = -r(h) + u(h). Let v(q) = -6*q**2 - 7*q - 5. Let c(b) = 2*s(b) - v(b). Let c(t) = 0. Calculate t.
-1, -1/2
Let i(m) be the third derivative of -m**7/210 + m**6/60 + m**5/60 - m**4/12 + 3*m**2. Determine u, given that i(u) = 0.
-1, 0, 1, 2
Determine w, given that -2/7*w**4 + 4/7*w**2 + 2/7*w - 2/7 + 2/7*w**5 - 4/7*w**3 = 0.
-1, 1
Let l(j) = j - 9. Let n be l(11). Factor 0*k**3 - k**3 - 2 - 1 + 6*k**n + 3*k + 3*k**5 - 5*k**3 - 3*k**4.
3*(k - 1)**3*(k + 1)**2
Let i(h) = h**2 - 1. Let q(o) = -4*o**2 + 2*o + 