 Solve g(b) = 0 for b.
-2/7, -1/5, 1
Let b(d) = 3*d - 6. Let c be b(3). Suppose 4*m = p + c, 3 + 0 = m - p. Suppose 0*z + 1/2*z**2 + m - 1/2*z**3 = 0. What is z?
0, 1
Let s(f) be the second derivative of -2/3*f**3 + 1/3*f**4 + 1/5*f**5 + 0*f**2 + 0 - 8*f - 2/15*f**6. Find t such that s(t) = 0.
-1, 0, 1
Let z(s) be the third derivative of 8*s**7/175 - 19*s**6/150 + 8*s**5/75 - s**4/30 + 4*s**2. Let z(j) = 0. What is j?
0, 1/4, 1/3, 1
Factor 0 - 1/2*g**2 + 1/2*g**4 + 3/2*g - 3/2*g**3.
g*(g - 3)*(g - 1)*(g + 1)/2
Suppose -2*l + 6 = l. Let v be 5 - (3 - 1 - 0). Solve -2*y**3 - 8*y**v - 4*y + 12*y**2 + l*y**2 = 0 for y.
0, 2/5, 1
Let v(u) be the third derivative of u**5/40 + u**4/4 + 3*u**3/4 - 6*u**2. Factor v(i).
3*(i + 1)*(i + 3)/2
Suppose -2/5*v**3 - 2/5 + 2/5*v + 2/5*v**2 = 0. What is v?
-1, 1
Let v(y) be the second derivative of 3*y**6/40 + 11*y**5/80 + y**4/24 + 6*y. Solve v(b) = 0.
-1, -2/9, 0
Suppose 7 - 1 = 2*v. Let z be (-4)/(-48) - v/(-12). Let -1/3*n**4 + 2/3*n**2 - 1/3*n**5 - z + 2/3*n**3 - 1/3*n = 0. What is n?
-1, 1
Let t(f) be the third derivative of -f**5/480 + f**4/32 - 3*f**3/16 + 10*f**2. Suppose t(u) = 0. What is u?
3
Let n be 1/(-4) + (-72)/(-32). Determine p, given that 14/3*p**n + 6 - 10*p - 2/3*p**3 = 0.
1, 3
Let u be 24/(-40) + 0 - -1. Factor u*d + 0 + 2/5*d**2 - 2/5*d**3 - 2/5*d**4.
-2*d*(d - 1)*(d + 1)**2/5
Suppose 0 = m - 2 - 3. Let x(o) be the first derivative of 0*o**2 - 2 + 2/15*o**3 - 1/15*o**6 + 1/10*o**4 + 0*o - 2/25*o**m. Factor x(a).
-2*a**2*(a - 1)*(a + 1)**2/5
Let i(l) be the first derivative of -l**6/39 - 6*l**5/65 - 26. Factor i(g).
-2*g**4*(g + 3)/13
Let g(l) be the second derivative of -l**6/120 - 3*l**5/80 - l**4/24 - 29*l. Suppose g(s) = 0. Calculate s.
-2, -1, 0
Let d(f) = -f**2 - 9*f + 2. Let h be d(-9). Factor 4/7 - 10/7*j**h + 6/7*j.
-2*(j - 1)*(5*j + 2)/7
Let i(c) be the second derivative of 0*c**3 + 3/2*c**2 - 4*c + 1/24*c**4 - 3/40*c**5 + 0 + 7/240*c**6. Let x(l) be the first derivative of i(l). Factor x(m).
m*(m - 1)*(7*m - 2)/2
What is t in 10*t**4 - 12*t**4 - 8*t**3 - 12*t**2 + 6*t**4 = 0?
-1, 0, 3
Let g(l) = -2*l**3 + l**2 + 3*l**2 + 1 - 3*l**2. Let o be g(1). Factor o*t - 6/5*t**2 + 0 - 27/5*t**3.
-3*t**2*(9*t + 2)/5
Factor -32/3*y + 8*y**3 - 16/3*y**2 + 20/3*y**4 + 4/3*y**5 + 0.
4*y*(y - 1)*(y + 2)**3/3
Let c(p) be the second derivative of -p**10/2520 - p**9/3780 + p**8/840 + p**4/6 + 6*p. Let j(d) be the third derivative of c(d). Find v, given that j(v) = 0.
-1, 0, 2/3
Let o be 6/5 + 0 + -1. Factor -w**2 - 4/5 + o*w**3 + 8/5*w.
(w - 2)**2*(w - 1)/5
Suppose j + 8 = 11. Factor 2/7*v**5 - 2/7*v**j - 2/7*v**2 + 0*v + 0 + 2/7*v**4.
2*v**2*(v - 1)*(v + 1)**2/7
Let w(i) be the first derivative of -i**4/24 + i**3/6 - 2*i/3 + 5. Let w(k) = 0. Calculate k.
-1, 2
Suppose 10 = -5*c + 3*b + b, 31 = 3*c + 5*b. Let i be (-6)/3 + (-14)/(-6). Factor -i*l**c - 1/3*l + 1/3 + 1/3*l**3.
(l - 1)**2*(l + 1)/3
Let u(a) be the third derivative of -1/3*a**3 - a**2 - 1/30*a**5 + 0 + 0*a + 1/6*a**4. Factor u(n).
-2*(n - 1)**2
Let z(q) = -q**2 - 5*q - 2. Let r(i) = i**2 - 7*i + 6. Let u be r(5). Let k be z(u). Factor -6*p - 6 - p**k + 3 - 2*p**2.
-3*(p + 1)**2
Let u = 8 - 4. Let v(f) = -2*f**2 - 6*f + 4. Let p(q) = -q**2 - 3*q**2 + 5*q + 6*q**2 - 3. Let l(g) = u*p(g) + 3*v(g). Factor l(k).
2*k*(k + 1)
Determine y so that -24*y**3 - 7*y**2 - 2 + 4*y**2 + 15*y + 16*y**4 - y**2 - 19*y**2 = 0.
-1, 1/4, 2
Let z(k) be the second derivative of -k**9/15120 - k**8/4480 - k**7/5040 - k**4/12 + k. Let h(g) be the third derivative of z(g). What is t in h(t) = 0?
-1, -1/2, 0
Let c(d) = 3*d**4 - 5*d**3 + 4*d**2 - 2. Let x(j) = j**4 - j**3 + j**2 - 1. Let n(f) = -c(f) + 2*x(f). Factor n(s).
-s**2*(s - 2)*(s - 1)
What is d in 136/3*d - 16/3 + 6080/3*d**4 - 124/3*d**2 - 5600/3*d**5 - 1826/3*d**3 = 0?
-1/4, 1/4, 2/7, 2/5
Let u be (-1 + -1)*(-1 - 0). Suppose 0*s + 2 - 2*s + u*s**3 - 2 = 0. What is s?
-1, 0, 1
Let k = 4 + -1. Suppose -4*i - 88 = -4*f, -k*f + 3*i - i = -62. Let 0*r - f*r**3 + 9*r + 7*r + 8 - 6*r**2 = 0. Calculate r.
-2/3, 1
Let k be (-5)/150*14 - -1. Let j(d) be the second derivative of k*d**6 + 1/4*d**4 + 1/24*d**3 + 3/5*d**5 + 0 - 4*d + 0*d**2. Factor j(m).
m*(4*m + 1)**3/4
Let v(c) = -2*c**2 - 6*c. Let i(l) = 4*l**2 - 4*l**2 + l**2. Let y(o) = -5*i(o) - v(o). Factor y(a).
-3*a*(a - 2)
Let l(q) = -q**3 - 10*q**2 + 10*q - 9. Let h be l(-11). Factor -10/7*k**h + 2/7*k**3 + 16/7*k - 8/7.
2*(k - 2)**2*(k - 1)/7
Suppose -v - 4*p = 0, -v + 4*v - 13 = p. Let -2*r**v + 0 - 4/3*r**5 + 2/3*r**2 + 0*r**3 + 0*r = 0. Calculate r.
-1, 0, 1/2
Let j(y) = -y**2 - 3*y + 3. Let g be j(-3). Determine k, given that 16*k**4 - k**3 + 12*k**5 + 2*k**3 + 3*k**g = 0.
-1, -1/3, 0
Let y be 0/(6/1) - 0. Let z(x) be the second derivative of 27/2*x**2 - 3*x**3 + y - 3*x + 1/4*x**4. Factor z(s).
3*(s - 3)**2
Factor 18/7*i**3 - 60/7*i**2 - 46/7*i - 8/7.
2*(i - 4)*(3*i + 1)**2/7
Solve -4/11*o + 0 - 2/11*o**2 + 4/11*o**3 + 2/11*o**4 = 0.
-2, -1, 0, 1
Let m be (((-4)/(-9))/(-2))/(44/(-66)). Suppose m*d**2 - 1/3*d + 0 - 1/3*d**4 + 1/3*d**3 = 0. What is d?
-1, 0, 1
Let g = -100/19 - -219/38. Determine y, given that 0 - g*y**3 + 0*y - y**2 = 0.
-2, 0
Let g(k) be the third derivative of 0*k + 3*k**2 - 1/420*k**6 + 0*k**5 + 0 + 1/84*k**4 + 0*k**3. Determine b so that g(b) = 0.
-1, 0, 1
Let l(x) = -3*x**3 - 8*x**2 + 11*x - 8. Let j(m) = -m**3 + 3 + 5*m**2 - 7*m + 2 + 3*m**3. Let s = 2 + -7. Let a(z) = s*l(z) - 8*j(z). Find u such that a(u) = 0.
-1, 0, 1
Suppose 7*x**3 + 3*x - 20*x**3 + 10*x**3 = 0. Calculate x.
-1, 0, 1
Let b be (-4 + (2 - (-2 + -1)))*0. Factor b + 8/3*i + 4*i**2 + 4/3*i**3.
4*i*(i + 1)*(i + 2)/3
Let y(m) be the third derivative of m**10/50400 - m**9/10080 + m**8/6720 + m**5/20 + 3*m**2. Let v(k) be the third derivative of y(k). Factor v(p).
3*p**2*(p - 1)**2
Let k(q) be the second derivative of -q**5/110 - 2*q**4/33 - 5*q**3/33 - 2*q**2/11 + 13*q. Let k(g) = 0. Calculate g.
-2, -1
Let k(a) be the third derivative of -a**10/105840 + a**9/52920 + a**4/12 - 3*a**2. Let r(w) be the second derivative of k(w). Factor r(i).
-2*i**4*(i - 1)/7
Suppose q = 13 + 1. Suppose s + 9 = q. Suppose -d**4 + d**2 + 1/2*d + 0 - 1/2*d**s + 0*d**3 = 0. Calculate d.
-1, 0, 1
Let c = 18 + -14. Let s(t) be the first derivative of -1/20*t**c - 2 - 1/5*t - 2/25*t**5 + 1/10*t**2 + 1/5*t**3. Solve s(j) = 0.
-1, 1/2, 1
Let y(b) be the second derivative of -b**2 + 5/6*b**4 + 3/10*b**5 + 1/3*b**3 - 4*b + 0. Factor y(d).
2*(d + 1)**2*(3*d - 1)
Let d(u) = -u**3 + u**2 + u - 3. Let i(j) = j**3 - j + 1. Let y(k) = -3*d(k) - 6*i(k). Factor y(m).
-3*(m - 1)*(m + 1)**2
Let p = -5 + 7. Let 0*a + 0*a + 0*a**3 - p*a + 4*a**3 - 2*a**5 = 0. What is a?
-1, 0, 1
Let c(g) be the first derivative of -3*g**4/16 - 3*g**3/4 - 3*g**2/4 - 2. Factor c(f).
-3*f*(f + 1)*(f + 2)/4
Suppose -1/2*f**5 + 0*f**3 - f**4 + f**2 + 0 + 1/2*f = 0. Calculate f.
-1, 0, 1
Let x(l) = 3*l + 11. Let q be x(-3). Solve 0 + 2/7*n + 2/7*n**q = 0 for n.
-1, 0
Let x(i) be the first derivative of i**5/75 - i**4/24 + i**3/30 - i**2/2 + 2. Let m(f) be the second derivative of x(f). Factor m(l).
(l - 1)*(4*l - 1)/5
Let i = -74 - -120. Let -6 - i*b - 49*b + 92*b + 3*b**2 = 0. Calculate b.
-1, 2
Let d(o) be the first derivative of o**5/15 - o**3/9 - 14. Find r, given that d(r) = 0.
-1, 0, 1
Determine y so that 10/3*y + 2/3*y**2 + 2 - 2/3*y**3 = 0.
-1, 3
Let d(u) be the second derivative of -2*u**7/147 + 2*u**6/105 + 2*u**5/35 + 37*u. Find b such that d(b) = 0.
-1, 0, 2
Suppose -16 = -4*t, 0 = -4*x + x + 3*t + 123. Let u be -3 + (x/(-2))/(-5). Factor 0 + u*i - 3/2*i**2.
-3*i*(i - 1)/2
Let x = 2 + 0. Find t, given that -t**3 - t**3 + 4*t**2 - 6 + x*t + 2 = 0.
-1, 1, 2
Let v(g) be the second derivative of g**6/900 - g**5/150 + g**4/60 - g**3/6 - 3*g. Let w(o) be the second derivative of v(o). Solve w(r) = 0 for r.
1
Find l, given that -3*l**2 - 4 + 12*l + 6*l**3 - 8*l**3 - 3*l**3 + 0*l**3 = 0.
-2, 2/5, 1
Let a(o) be the second derivative of 6*o - 4/15*o**4 - 14/25*o**5 + 14/15*o**3 + 4/75*o**6 + 2/15*o**7 + 4/5*o**2 + 0. Find y such that a(y) = 0.
-1, -2/7, 1
Suppose -2*r = 10, -2*x + 5*r = 7 - 40. Solve 0*c**2 + 0 + 0*c - 2/7*c**x + 0*c**3 - 8/7*c**5 = 0 for c.
-1/4, 0
Factor 1/3*u**2 + 0 + 0*u + 1/3*u**3.
u**2*(u + 1)/3
Sol