/5*b = 0?
-1, 0
Let k(m) be the second derivative of -m**6/18 - m**5/4 - 5*m**4/18 - 5*m. Factor k(t).
-5*t**2*(t + 1)*(t + 2)/3
Solve 15/4*j**2 + 3/4*j**3 + 3*j + 0 = 0.
-4, -1, 0
Let x(p) be the second derivative of p**6/360 - p**5/30 + p**4/6 - 5*p**3/6 + p. Let g(l) be the second derivative of x(l). Factor g(q).
(q - 2)**2
Let j(m) = m**3 + 16*m**2 + 29*m + 14. Let w be j(-14). Determine r so that 2/7*r**4 + w - 6/7*r**3 - 2/7*r + 6/7*r**2 = 0.
0, 1
Suppose 4*u + 2 = 3*d - 4, 0 = -3*u + 2*d - 4. Let c(j) be the third derivative of u + 1/80*j**5 + 1/32*j**4 + 0*j**3 + 0*j + 2*j**2. Factor c(h).
3*h*(h + 1)/4
Let r(j) = -8*j**3 + 8*j. Let c(b) = -9*b**3 + 9*b. Let y(u) = -5*c(u) + 6*r(u). Determine a, given that y(a) = 0.
-1, 0, 1
Let h be ((-1)/(-4))/((14/(-63))/(-2)). What is s in 3/2 + h*s + 3/4*s**2 = 0?
-2, -1
Let g(d) = -d**2 - d - 1. Let c(t) = -6*t**2 - 9*t - 9. Let p(n) = -c(n) + 5*g(n). Determine v so that p(v) = 0.
-2
Let v be (-22)/(-4)*8/(792/27). Factor -15/2*d**2 - v*d**3 - 9/2*d + 27/2.
-3*(d - 1)*(d + 3)**2/2
Let m = -467/6 + 78. Let x(i) be the second derivative of 1/24*i**4 - m*i**3 + 1/4*i**2 - 3*i + 0. Solve x(c) = 0.
1
Factor 0*q**2 - 2*q**2 - 9*q + 11*q.
-2*q*(q - 1)
Let f be ((-2)/(-3))/(4/18). Factor 0*a**4 - 3*a**3 + 2*a**4 + f*a**2 + 3*a**5 - 5*a**4.
3*a**2*(a - 1)**2*(a + 1)
Let l be (24/3)/((-14)/(-7)). Let 0 - 3/5*z**l - 12/5*z**3 - 3*z**2 - 6/5*z = 0. What is z?
-2, -1, 0
Let k(o) = o**5 - o**3 - o**2 - o. Suppose 3*h = h - 2. Let g(d) = -8*d**5 + 2*d**4 + 6*d**3 + 6*d**2 + 6*d. Let p(f) = h*g(f) - 6*k(f). Factor p(l).
2*l**4*(l - 1)
Let d(v) = -v**3 - 5*v**2 - 2*v + 1. Let x be d(-3). Let u(i) = -2*i - 18. Let j be u(x). Factor 3/2*k + 3/2*k**j - 1/2*k**5 - 1/2 - k**2 - k**3.
-(k - 1)**4*(k + 1)/2
Let s = 538/3 + -2687/15. Suppose 4/5*z - 4/5 - s*z**2 = 0. Calculate z.
2
Let u(w) be the second derivative of -w**6/255 + 3*w**5/85 - 13*w**4/102 + 4*w**3/17 - 4*w**2/17 - 6*w. Solve u(t) = 0.
1, 2
Let l be 2/(-7) + 60/14. Let u be 2 + (2 - 4 - -3). Factor 1/2*b**2 + 1/2*b + 0 - 1/2*b**l - 1/2*b**u.
-b*(b - 1)*(b + 1)**2/2
Factor 0*h + 2/11*h**3 - 2/11*h**4 + 0 + 0*h**2.
-2*h**3*(h - 1)/11
Let y be 228/209 - -1*(1 - 2). Let o(j) be the second derivative of -1/165*j**6 - y*j**2 - 2*j - 1/11*j**4 - 2/55*j**5 - 4/33*j**3 + 0. Factor o(u).
-2*(u + 1)**4/11
Suppose 0 = m - 2 - 0. Determine h, given that -m*h**2 - 3*h**3 + 3*h**4 - 5*h + 2*h - h**2 + 6*h**3 = 0.
-1, 0, 1
Let y be 12/(-18) + (-16)/(-6). Find z, given that y*z - z**3 - 2*z**3 + 0 + z**4 + z**3 - 1 = 0.
-1, 1
Suppose 0 = 4*i - 1 - 7. Factor -5/3*w - 4/3*w**i - 1/3*w**3 - 2/3.
-(w + 1)**2*(w + 2)/3
Factor 3*u**2 - 3/5*u**4 + 3/5*u**3 + 9/5*u + 0.
-3*u*(u - 3)*(u + 1)**2/5
Factor -1/3*z**3 + 0*z**2 - 1/3*z**5 + 0 + 0*z + 2/3*z**4.
-z**3*(z - 1)**2/3
Let m(g) be the third derivative of -g**8/112 - g**7/35 + g**5/10 + g**4/8 - 3*g**2. Let m(d) = 0. Calculate d.
-1, 0, 1
Let a(w) = w**3 - 3*w + 2. Let c be a(2). Determine b, given that 10*b**3 + 3*b**c - 269*b + 15*b**2 + 2*b**3 + 275*b = 0.
-2, -1, 0
Let i = 27 + -80/3. Let j = 2/105 + 11/35. Factor 1/3*v**3 + 1/3*v**2 - j*v - i.
(v - 1)*(v + 1)**2/3
Let i = -183 + 2017/11. Factor 2/11 - i*y + 2/11*y**2.
2*(y - 1)**2/11
Let t(h) be the third derivative of -1/112*h**8 - 1/24*h**4 + 0 + 0*h + 1/3*h**3 - h**2 + 1/30*h**6 + 2/105*h**7 - 1/10*h**5. Find u such that t(u) = 0.
-1, -2/3, 1
Let i(s) = -68*s**3 - 36*s**2 - 4*s + 4. Let g(b) = 69*b**3 + 37*b**2 + 4*b - 5. Let j(m) = 4*g(m) + 5*i(m). Factor j(c).
-4*c*(4*c + 1)**2
Let l(n) be the first derivative of -2*n**3/11 + 12*n**2/11 + 30*n/11 - 5. Factor l(d).
-6*(d - 5)*(d + 1)/11
Let c(f) be the first derivative of f**6/120 + f**5/80 - f**4/16 - 5*f**3/24 - f**2/4 + 4*f - 9. Let u(m) be the first derivative of c(m). Factor u(j).
(j - 2)*(j + 1)**3/4
Let v(h) be the third derivative of 2/21*h**3 + 0*h + 0 + 2/105*h**5 - 5/84*h**4 + 7*h**2 - 1/420*h**6. Factor v(x).
-2*(x - 2)*(x - 1)**2/7
Let v be (6/9)/(-2)*-9. Factor 0*d - 9*d**2 + 0*d - 9*d**3 - 3*d - v*d**4.
-3*d*(d + 1)**3
Let z be 1 + 2/1*1. Factor -2 + 4*g**2 - 3*g**4 + g**4 - z*g**3 + 3*g**3.
-2*(g - 1)**2*(g + 1)**2
Let o(d) be the second derivative of 0 + 0*d**2 + 1/21*d**3 + 2*d + 1/14*d**4 + 1/105*d**6 + 3/70*d**5. Find i such that o(i) = 0.
-1, 0
Let r(a) be the third derivative of a**5/60 + a**4/4 + 3*a**3/2 - 13*a**2. Factor r(i).
(i + 3)**2
Let 32/13*c**2 + 2/13 - 16/13*c = 0. Calculate c.
1/4
Let a(u) be the second derivative of 0*u**2 + 0 - 1/240*u**5 + 1/720*u**6 + 0*u**4 + 1/6*u**3 - 2*u. Let d(g) be the second derivative of a(g). Factor d(b).
b*(b - 1)/2
Suppose -24*w = -11*w - 26. Let t(s) be the third derivative of 0*s**4 + 0*s - 1/240*s**6 + w*s**2 + 0*s**3 - 1/120*s**5 + 0. Determine h, given that t(h) = 0.
-1, 0
Let a be (-1)/(2/(-6)*-1). Let q be (-7)/a + (-5)/15. Factor -1/2*m**q - 1/2 - m.
-(m + 1)**2/2
Let k(u) = -3*u**3 + 5*u**2 + 19*u + 11. Let q(c) = -6*c**3 + 9*c**2 + 36*c + 21. Let r(w) = 9*k(w) - 4*q(w). Factor r(v).
-3*(v - 5)*(v + 1)**2
Let i(n) = n**3 - n + 2. Let u(w) = -w**2 - w - 1. Let k(s) = -i(s) - 2*u(s). Solve k(q) = 0 for q.
-1, 0, 3
Let o(y) be the first derivative of 1/120*y**5 - 1/2*y**2 + 1/48*y**4 - 3 + 0*y - 1/6*y**3. Let d(i) be the second derivative of o(i). Solve d(z) = 0.
-2, 1
Let p(g) = g**4 + g**2 - g. Let t = 4 - 3. Let m(d) = -2*d**5 - 6*d**4 + 2*d**3 - 2*d**2 + 4*d. Let o(r) = t*m(r) + 4*p(r). Suppose o(k) = 0. Calculate k.
-1, 0, 1
Let b = -6 + 3. Let x be ((-2)/b)/((-24)/(-18)). Factor 1/4*f - x*f**2 + 0.
-f*(2*f - 1)/4
Let c(r) be the second derivative of -r**7/273 - r**6/195 + r**5/130 + r**4/78 + 10*r. Factor c(x).
-2*x**2*(x - 1)*(x + 1)**2/13
Suppose -5*d = -2*h + 6, -4*h - 2 = 4*d - 14. Suppose d = -a - 3*a + 16. Suppose -17*t**4 + 4 + 20*t**3 - 9*t**4 + 6*t**a + 6*t**5 - 10*t = 0. Calculate t.
-2/3, 1
Let t be 3 - (23/3 + -8). Let -35/3*p - 10/3*p**3 - 10/3*p**4 + t + 5/3*p**5 + 40/3*p**2 = 0. What is p?
-2, 1
Let y(i) = -i**3 - 14*i**2 + 14*i - 12. Let z be y(-15). Let -1/2*l**z - 1/2 + 5/4*l - 1/4*l**2 = 0. Calculate l.
-2, 1/2, 1
Let f be (0*3/(-12))/1. Let v(s) be the second derivative of -2*s + 1/15*s**3 + f + 1/30*s**4 - 1/50*s**5 + 0*s**2 - 1/75*s**6. Factor v(q).
-2*q*(q - 1)*(q + 1)**2/5
Factor -1/2 + 1/6*p**2 + 1/3*p.
(p - 1)*(p + 3)/6
Let v be ((-54)/(-765))/((-2)/(-20)). Let y = -43/85 + v. Determine z, given that 0 + 0*z - y*z**2 = 0.
0
Let m(g) be the second derivative of -4*g**6/135 - 11*g**5/90 + g**4/18 + 16*g**3/27 - 4*g**2/9 + 25*g. Determine u so that m(u) = 0.
-2, 1/4, 1
Let v(d) be the second derivative of 0*d**2 + 1/3*d**4 - 1/10*d**5 + 3*d + 0*d**3 + 0 - 1/15*d**6. Find a, given that v(a) = 0.
-2, 0, 1
Factor 0 + 1/5*v**5 - 2/5*v**3 + 0*v**2 + 0*v + 1/5*v**4.
v**3*(v - 1)*(v + 2)/5
Suppose -5 = 4*o - 33. Let b = -5 + o. Solve 1 - 1/2*w - 1/2*w**b = 0.
-2, 1
Let c(y) be the first derivative of 5*y**4/4 - 15*y**2/2 - 10*y - 26. Factor c(k).
5*(k - 2)*(k + 1)**2
Let v = 9/49 + 5/49. Suppose 2*l - 25 = -15. Solve 6/7*i**3 + 0 + 2/7*i**2 + v*i**l + 0*i + 6/7*i**4 = 0.
-1, 0
Let l = 2 - 2. Let f = 3/28 - -19/84. Solve 1/3*v + v**3 - f*v**4 + l - v**2 = 0 for v.
0, 1
Find l, given that 96*l**4 + 35*l**5 + 16*l**3 + 495 - 503 + l**5 - 88*l**2 - 52*l = 0.
-2, -1, -1/3, 1
Let d(z) be the third derivative of z**7/735 - 5*z**2. Factor d(p).
2*p**4/7
Let f(h) be the third derivative of -h**8/30240 + h**7/7560 + h**5/15 + 7*h**2. Let x(l) be the third derivative of f(l). Suppose x(p) = 0. What is p?
0, 1
Let f(d) = 2*d**3 - 2*d**2 - 4*d - 8. Let y(w) = w**3 + w**2 + 1. Let x(u) = -f(u) - 8*y(u). Solve x(p) = 0.
-1, 0, 2/5
Let h be (42/72 + (-9)/(-12))/4. Factor 1 - h*z**2 - 2/3*z.
-(z - 1)*(z + 3)/3
Let v = 21 - 27. Let r(w) = 5*w**2 + w - 6. Let a(s) = -3*s**2 + 0*s**2 + 1 + 2*s**2. Let j(u) = v*a(u) - r(u). Find g, given that j(g) = 0.
0, 1
Let w = 9 + -18. Let r be w/(-36) - 1/(-12). Suppose 1/3*g**5 + g**4 + 0*g + r*g**2 + 0 + g**3 = 0. What is g?
-1, 0
Suppose t - 7 = 5*b, -5*t + 3 + 2 = 5*b. Suppose t*x = 4*x - 4. Factor 3/2*c + 1/2 + c**x.
(c + 1)*(2*c + 1)/2
Suppose -2/9*i**2 - 2/3*i**4 + 2/3*i**3 + 0*i + 2/9*i**5 + 0 = 0. Calculate i.
0, 1
Factor 0 - 4/7*s - 6/7*s**2.
-2*s*(3*s + 2)/7
Factor 0 + 10/13*w**3 + 6/13*w**5 -