- 8*f - 11. Let q(n) = 11*h(n) - 6*p(n). Factor q(m).
m*(m - 2)**2*(m - 1)**2
Factor -16/5 + 4/5*y**3 - 4*y**2 + 32/5*y.
4*(y - 2)**2*(y - 1)/5
Let t(q) be the second derivative of -q**5/50 + 2*q. Determine v so that t(v) = 0.
0
Let j(g) be the third derivative of g**8/1680 - g**7/280 + g**6/120 - g**5/120 - g**4/8 + 3*g**2. Let p(w) be the second derivative of j(w). Factor p(z).
(z - 1)**2*(4*z - 1)
Determine l, given that 0*l**5 - 24*l - l**5 + 2*l**3 + 23*l = 0.
-1, 0, 1
Let l be ((-3 - 0) + 6)*1. Suppose -5*h + 4*b - 2 = 0, 2*h + 0*h + l*b = 13. Find r such that 1 + 0*r**2 - r**h + 0 = 0.
-1, 1
Let y(r) = 6*r**5 + r**4 - 6*r**3 - r**2 + 7*r. Let k(i) = -i**5 + i**3 - i. Let m = -5 + 3. Let q(d) = m*y(d) - 14*k(d). Determine l, given that q(l) = 0.
-1, 0, 1
Let r(w) be the second derivative of -w**5/210 + w**4/42 - w**3/21 - 7*w**2/2 + 5*w. Let p(i) be the first derivative of r(i). Factor p(y).
-2*(y - 1)**2/7
Let g = 3/10 - -47/110. Let -2/11*n**2 - g + 8/11*n = 0. What is n?
2
Let l(p) be the second derivative of p**8/112 - p**6/20 + p**4/8 + 3*p**2/2 + p. Let j(v) be the first derivative of l(v). Factor j(f).
3*f*(f - 1)**2*(f + 1)**2
Determine v so that 0*v - 1/4*v**5 + 1/2*v**4 + 0 + 0*v**2 - 1/4*v**3 = 0.
0, 1
Let d = 109 - 109. Factor -2*l**3 - 2*l**4 + d - 2/3*l**5 + 0*l - 2/3*l**2.
-2*l**2*(l + 1)**3/3
Let i(l) be the first derivative of -l**5/30 + l**4/3 - 4*l**3/3 + 2*l**2 + 4. Let a(n) be the second derivative of i(n). Find c, given that a(c) = 0.
2
Let z(q) = 2*q**2 - q. Let g(t) = -12*t**2 - 7*t + 20. Let h(j) = 2*g(j) + 14*z(j). Determine m so that h(m) = 0.
2, 5
Let x(h) = -h**2 + 4*h - 7. Let l be x(-6). Let u = 471/7 + l. Factor 0*w + 0*w**2 + 0 - 2/7*w**3 - u*w**4.
-2*w**3*(w + 1)/7
Let c(s) = -3*s**2 - s + 4*s**2 - s**3 + 0*s**3. Let y(z) = -4*z**3 + 13*z**2 - 16*z + 6. Let n(m) = -c(m) + y(m). Factor n(t).
-3*(t - 2)*(t - 1)**2
Let y be -2 + 132/8*3. Let s = -46 + y. Factor x**2 + x**4 - s*x**3 - 1/4*x**5 + 0 - 1/4*x.
-x*(x - 1)**4/4
Let f(m) be the second derivative of m**5/220 + m**4/132 + 8*m. Factor f(w).
w**2*(w + 1)/11
Let m(l) = -l**4 - l**3 + l**2 + 1. Let k(h) = -7*h**4 - 9*h**3 + 4*h**2 + 4*h + 8. Let n(z) = 3*k(z) - 24*m(z). Factor n(i).
3*i*(i - 2)*(i - 1)*(i + 2)
Let s(r) = -r**3 + 8*r**2 + 2*r + 2. Let m(x) = 9*x**2 + 3*x + 3. Let q(v) = -2*m(v) + 3*s(v). Factor q(t).
-3*t**2*(t - 2)
Factor -6*t - 1/3*t**2 + 0.
-t*(t + 18)/3
Let l(c) = -3*c**2 - 6*c + 3. Let h(y) = 3*y**2 + 5*y - 2. Let p(x) = 4*h(x) + 3*l(x). Let j be p(-1). Suppose -5*o + 5*o + 3*o + o**j - 2*o = 0. What is o?
-1, 0
Solve -4/7 - 2/7*l**2 - 6/7*l = 0.
-2, -1
Let d be (3 - 0)*(-9 - -10). Suppose 2/7 + 4/7*l**d - 2/7*l**2 - 4/7*l = 0. What is l?
-1, 1/2, 1
Suppose -1/3*v**5 - v**4 + v**2 + 2/3*v + 0 - 1/3*v**3 = 0. Calculate v.
-2, -1, 0, 1
Let h(y) be the first derivative of 0*y**4 + 0*y**2 + 0*y**5 + 1/3*y**3 + 0*y + 1 - 1/900*y**6. Let z(v) be the third derivative of h(v). Factor z(s).
-2*s**2/5
Let d be (-184)/(-24) + (-2)/3. Let w be 2/d - 132/(-28). Factor u**2 + 6*u**4 - 3*u**w - u**2.
-3*u**4*(u - 2)
Let p be (-9)/6 + 2/(-4). Let c(f) = -1. Suppose 2*j - 5*l + 2 = -j, -3*j - 5*l = -8. Let q(n) = -n**2 - 2. Let o(d) = j*q(d) + p*c(d). Factor o(z).
-z**2
Let w(r) be the second derivative of -1/2*r**4 - 4*r - 3/10*r**5 + 0 - 1/15*r**6 - 1/3*r**3 + 0*r**2. Factor w(q).
-2*q*(q + 1)**3
Suppose -4*w - 55 + 207 = 0. Let d be -3 - (2 - w/6). Suppose 8/3 + 8/3*i - 2*i**2 + 2/3*i**4 - d*i**3 = 0. Calculate i.
-1, 2
Let q be (-10)/75*-3 + 0. Let i = -14 + 72/5. Factor i*g**3 - 2/5*g**2 + 0 - q*g**5 + 2/5*g**4 + 0*g.
-2*g**2*(g - 1)**2*(g + 1)/5
Let q(s) be the second derivative of -3*s**5/8 + 35*s**4/24 - 25*s**3/12 + 5*s**2/4 + s. Find i such that q(i) = 0.
1/3, 1
Let o(c) = c**2 + 4*c - 3. Let g be o(-5). Suppose 2*u - 3*u = -g. Factor -v + 0*v + 4*v + 0*v - v**u.
-v*(v - 3)
Find o, given that -2/5*o**3 + 0 - 4/15*o**2 - 2/15*o**4 + 0*o = 0.
-2, -1, 0
Let j be 23/20 - (-200)/160. Factor -j + 48/5*z - 21/5*z**2.
-3*(z - 2)*(7*z - 2)/5
Find d such that -1/2*d**2 + 2 + 1/2*d**3 - 2*d = 0.
-2, 1, 2
Let x be 18/(-4) + (4 - -1). Factor 1/2 - q + x*q**2.
(q - 1)**2/2
Let q be -4 - 4/12*2415/(-200). Let l(c) be the third derivative of -1/8*c**4 + q*c**6 - 1/2*c**3 + c**2 + 0 + 1/20*c**5 + 0*c. Factor l(o).
3*(o - 1)*(o + 1)**2
Let l(h) be the first derivative of -32/3*h**3 - 19/2*h**4 - 13/2*h**2 - 5/6*h**6 - 22/5*h**5 - 2*h + 1. Solve l(s) = 0.
-1, -2/5
Suppose -5*c + 4 = i, -2*c + 16 = -5*c + 4*i. Let v = 4 - c. Factor -n**2 + 0 + 1/2*n + n**v - 1/2*n**5 + 0*n**3.
-n*(n - 1)**3*(n + 1)/2
Let v be (-4)/(-14) + 10/(-35). Let m(d) be the third derivative of 0*d**7 + 0*d**3 + 0 + 0*d**6 + 0*d**4 + v*d - d**2 + 1/336*d**8 + 0*d**5. Solve m(l) = 0.
0
Let m(n) be the first derivative of -81*n**7/280 - 9*n**6/32 + 2*n**5/5 - n**4/8 + n**2/2 - 9. Let b(r) be the second derivative of m(r). Factor b(a).
-3*a*(a + 1)*(9*a - 2)**2/4
Suppose 4*x = -h + 3 + 3, -2 = -3*x - 2*h. Factor 4*t + x*t**2 + 2 + 2*t**2 - 3*t**2 + t**2.
2*(t + 1)**2
Let l(b) = -b**2 + 5*b + 12. Let p(k) = -2*k**2 + 11*k + 25. Let i(y) = 10*l(y) - 4*p(y). Factor i(t).
-2*(t - 5)*(t + 2)
Suppose -2/7 - 2/7*z + 2/7*z**3 + 2/7*z**2 = 0. What is z?
-1, 1
Let m(c) = -2*c**3 - 6*c**2 - 12*c - 8. Let t(w) be the first derivative of w**2/2 + w - 6. Suppose -2*g - 7 = 5. Let s(d) = g*t(d) - m(d). Factor s(j).
2*(j + 1)**3
Let x(c) be the first derivative of -5/28*c**4 + 0*c - 1/7*c**2 + 3/7*c**3 - 9/35*c**5 + 1/6*c**6 + 7. Determine w, given that x(w) = 0.
-1, 0, 2/7, 1
Find m such that 0 + 2*m**2 + 5/2*m - 1/2*m**3 = 0.
-1, 0, 5
Let s(n) = -6*n**4 + 4*n**3 + 10*n**2 - 8*n - 4. Suppose 0 = 2*p - 0*o + 2*o, -3*o + 8 = p. Let w(l) = -l**4 + l**2 + 1. Let j(d) = p*w(d) + s(d). Factor j(k).
-2*(k - 2)**2*(k + 1)**2
Let x(j) be the second derivative of -4*j + 0*j**4 + 0 + 0*j**3 + 1/330*j**5 - 2*j**2 - 1/660*j**6. Let u(n) be the first derivative of x(n). Factor u(z).
-2*z**2*(z - 1)/11
Let t(k) be the third derivative of -k**7/10080 + k**5/480 + k**4/8 + k**2. Let j(z) be the second derivative of t(z). Suppose j(f) = 0. Calculate f.
-1, 1
Let p(i) be the second derivative of -i**6/180 + i**5/60 + i**3/6 + 4*i. Let d(s) be the second derivative of p(s). What is f in d(f) = 0?
0, 1
Solve -4/11*y**2 + 2/11*y**3 + 4/11 - 2/11*y = 0 for y.
-1, 1, 2
Let d(c) be the first derivative of -2*c - c**2 + 2/5*c**5 - 2/3*c**3 + 1/2*c**4 + 1 - 4/15*c**6. Let v(t) be the first derivative of d(t). Factor v(s).
-2*(s - 1)**2*(2*s + 1)**2
Let h(c) = 7*c**5 + 9*c**4 - 7*c**3 + 9*c. Let u(n) = -n**5 - n**4 + n**3 - n. Let a(r) = 2*h(r) + 18*u(r). Determine z so that a(z) = 0.
-1, 0, 1
Let c be 7/2 - 5/10. Solve 3*u**c + 4*u - u**4 + 0*u**3 - 3*u**2 - 2*u - u = 0.
0, 1
Let -16/3 - 4/3*d**4 + 20/3*d**3 - 16/3*d - 4/3*d**5 + 20/3*d**2 = 0. Calculate d.
-2, -1, 1, 2
Let l(g) = -g**3 + 4*g**2 + 5*g + 2. Let b be l(5). Factor -3*a**5 + 4*a**2 - 8*a**4 - 9*a**3 + 25*a**4 - a**b - 8*a**4.
-3*a**2*(a - 1)**3
Let y(c) = 35*c**3 - 42*c**2 - 42*c + 1. Let s(f) = 6*f**3 - 7*f**2 - 7*f. Let o(r) = -34*s(r) + 6*y(r). Suppose o(q) = 0. What is q?
-1, 1/3, 3
Let z(y) be the first derivative of y**9/6048 - y**8/1120 + y**7/560 - y**6/720 + y**3/3 - 1. Let o(l) be the third derivative of z(l). Factor o(n).
n**2*(n - 1)**3/2
Let j(q) be the third derivative of -q**8/2240 + q**6/240 - q**4/6 + 2*q**2. Let v(d) be the second derivative of j(d). Factor v(u).
-3*u*(u - 1)*(u + 1)
Let q be 4 - 102/24 - 26/(-8). Determine a, given that -2/5*a**2 + 0 - 2/5*a**q + 4/5*a = 0.
-2, 0, 1
Let d be ((-72)/(-16))/((-6)/(-1)). Let j(s) be the first derivative of d*s**2 - 1/4*s**4 - 3 - s - 3/4*s**6 + 2*s**3 - 9/5*s**5. Solve j(c) = 0.
-1, 1/3, 2/3
Let n(o) be the second derivative of o**7/5880 + o**6/630 + o**5/168 + o**4/84 + o**3/2 + 2*o. Let w(f) be the second derivative of n(f). Factor w(j).
(j + 1)**2*(j + 2)/7
Suppose 4*m = -j - 20, -2*m - 5 = j + 5. Determine w so that 0*w**2 + 4/5*w**4 + j*w - 2/5*w**3 - 2/5*w**5 + 0 = 0.
0, 1
Let r(m) be the first derivative of -m**5/30 + m**4/3 - 4*m**3/3 - m**2/2 + 3. Let h(g) be the second derivative of r(g). Factor h(w).
-2*(w - 2)**2
Let a(i) = i - 1. Let m be a(0). Let z(p) = -2*p**2 - 2*p. Let g(u) = -u. 