 1/2*q = 0.
1
Let a be (5/(-18))/((-35)/21). Let l(t) be the first derivative of -a*t**4 - 1/3*t**2 - 1 + 4/9*t**3 + 0*t. Find j such that l(j) = 0.
0, 1
Let r be ((-8)/(-6))/(10/30). Let w(o) be the third derivative of -1/24*o**6 + 0 - 2*o**2 + 1/3*o**3 + 0*o + 5/24*o**r - 1/30*o**5. Factor w(k).
-(k - 1)*(k + 1)*(5*k + 2)
Let r = -3/77 - 1/7. Let l = 16/33 - r. Factor 4/3 + 2/3*w - l*w**2.
-2*(w - 2)*(w + 1)/3
Let p be (-6)/(-30) + (-1)/5. Suppose -2*n + 7*n = p. Suppose n*i**4 - 2/3*i**5 + 0*i**2 + 0*i + 0 + 2/3*i**3 = 0. Calculate i.
-1, 0, 1
Suppose 3*x = 5*x. Let g(t) be the third derivative of t**2 - 1/180*t**5 + 0*t**3 + 1/360*t**6 + 0*t + x*t**4 + 0. What is m in g(m) = 0?
0, 1
Let h(x) be the second derivative of -x**4/3 + 2*x**3/3 - 3*x. Find z, given that h(z) = 0.
0, 1
Let j(r) be the third derivative of -r**5/150 + r**4/30 + r**3/5 + 11*r**2. Determine s so that j(s) = 0.
-1, 3
Let k be 99/27 - (-2)/6. Let o(q) be the third derivative of 0*q**k - 1/300*q**6 - q**2 + 0*q**3 + 0 + 1/525*q**7 + 0*q**5 + 0*q. Factor o(r).
2*r**3*(r - 1)/5
Let r(s) be the second derivative of 0*s**5 - 3*s + 1/24*s**4 + 0*s**2 - 1/60*s**6 + 0*s**3 + 0. Let r(y) = 0. Calculate y.
-1, 0, 1
Let p(h) be the first derivative of 0*h + 6/35*h**5 - 2/7*h**2 + 3 + 1/21*h**6 + 1/14*h**4 - 2/7*h**3. Solve p(u) = 0 for u.
-2, -1, 0, 1
Let s = 5838/5 - 1167. Solve 0 - 6/5*v - s*v**2 = 0 for v.
-2, 0
Let y(s) be the third derivative of -1/12*s**4 + 0 + 1/42*s**7 + 0*s + 0*s**3 - 1/10*s**6 - 2*s**2 + 3/20*s**5. Let y(d) = 0. Calculate d.
0, 2/5, 1
Suppose 0 = 5*c + 4*f - 20, -2*c = -0*c + 5*f - 8. Suppose -4*l + 0*h - 5*h + 3 = 0, 5*l + 4*h = 6. Factor 5*v + c + 0*v - l*v - 35*v**2 + v.
-(5*v - 2)*(7*v + 2)
Let u(g) be the third derivative of -g**7/5460 - g**6/1170 - g**5/780 - 2*g**3/3 + 6*g**2. Let i(l) be the first derivative of u(l). Factor i(p).
-2*p*(p + 1)**2/13
Let g be (2 - (-52)/(-25))/(13/(-130)). Factor 0 + g*c**2 - 8/5*c.
4*c*(c - 2)/5
Let n(u) = -u**2 + 9*u - 8. Let k be n(8). Factor 2*y**2 + k*y**2 - y - y**2 + 4*y.
y*(y + 3)
Determine a, given that 3/2*a**3 + 0 + 0*a - 3/2*a**2 = 0.
0, 1
Let z(g) be the second derivative of 0*g**2 + 0*g**4 - 1/170*g**5 + 0 + 7*g + 1/51*g**3. Suppose z(c) = 0. Calculate c.
-1, 0, 1
Let x(a) = 3*a**3 - 21*a**2 - 24*a - 9. Let n(b) = -b**4 - 5*b**3 + 41*b**2 + 48*b + 18. Let t(q) = -3*n(q) - 5*x(q). Factor t(d).
3*(d - 3)*(d + 1)**3
Let d(v) be the second derivative of v**7/28 - 2*v**6/5 + 9*v**5/5 - 4*v**4 + 4*v**3 - 48*v. Factor d(i).
3*i*(i - 2)**4/2
Let g = -18 + 22. Suppose 6*h = 5*h + 4. Factor h - 4 - 2 - g*b - 2*b**2.
-2*(b + 1)**2
Let a(c) = c + 8. Let j be a(-6). Let z = 39/100 - -9/25. Solve -z*k**3 - 3/2*k - 9/4*k**j + 0 = 0 for k.
-2, -1, 0
Let o(d) = 3*d**2 - 3*d + 2. Suppose -j - 5 = 0, -x - 2 = 4*j + 15. Let p(n) = -n**2 - 1. Let y(q) = x*o(q) + 6*p(q). Factor y(b).
3*b*(b - 3)
Factor 3*f**3 - 185*f**2 + 3*f**4 + 185*f**2.
3*f**3*(f + 1)
Let o(j) = -j**4 + j**2 - j. Let m(u) = -2*u**5 - 4*u**4 - 6*u**3 + 12*u**2 - 10*u. Let i(b) = 2*m(b) - 20*o(b). Suppose i(t) = 0. What is t?
0, 1
Let x(u) be the third derivative of u**5/660 - u**4/264 - 15*u**2. Factor x(i).
i*(i - 1)/11
Let p be ((-10)/(-25))/((-8)/(-10)). Let l = 17/50 + 4/25. Factor 1/2*v**3 - 1/2*v**2 + l*v**4 + 0 - p*v.
v*(v - 1)*(v + 1)**2/2
Suppose -5 - 11 = -4*h. Find z such that 4*z**2 - h - 6*z**2 + 3*z**2 = 0.
-2, 2
Let z(a) be the first derivative of -7*a**4/9 + 16*a**3/9 + 50*a**2/9 + 8*a/3 + 3. Factor z(t).
-4*(t - 3)*(t + 1)*(7*t + 2)/9
Let w(x) be the second derivative of -2*x - 1/48*x**4 + 0*x**2 - 1/80*x**5 + 1/168*x**7 + 0*x**3 + 0 + 1/120*x**6. Factor w(s).
s**2*(s - 1)*(s + 1)**2/4
Let -2*n - 21*n**2 + 11*n**2 + 3*n**4 - 9*n**4 - 14*n**3 = 0. What is n?
-1, -1/3, 0
Let r(h) = 3*h + 0*h - 6 + 7*h**2 - h**3 + 6*h. Let i be r(8). What is y in -1 + 4*y**5 + 4*y - i*y**3 + 2*y**3 - 8*y**3 + 0*y**5 - y**4 + 2*y**2 = 0?
-1, 1/4, 1
Suppose 10/7*h**3 + 12/7*h**2 - 16/7 + 2/7*h**4 - 8/7*h = 0. What is h?
-2, 1
Let u(r) be the third derivative of r**6/60 - r**5/15 + r**4/12 + 9*r**2. Solve u(x) = 0.
0, 1
Factor -20*j**2 - 5*j**2 - 2*j + 15*j**4 + 5*j**3 + 10 - 3*j.
5*(j - 1)*(j + 1)**2*(3*j - 2)
Let c(j) be the third derivative of -1/21*j**3 + 0*j + 1/420*j**6 + 1/210*j**5 - 1/84*j**4 + 0 - 2*j**2. What is u in c(u) = 0?
-1, 1
Let n(y) be the third derivative of -y**8/6720 - y**7/840 - y**6/240 + y**5/30 - 4*y**2. Let q(h) be the third derivative of n(h). Solve q(i) = 0 for i.
-1
Let x(k) = 3*k**2 + 40*k + 37. Let p(d) = 2*d**2 + 20*d + 18. Let z(v) = -5*p(v) + 2*x(v). Solve z(g) = 0 for g.
-4, -1
Let w(y) be the second derivative of 0 - 1/2*y**2 + y - 1/12*y**4 - 1/3*y**3. Suppose w(m) = 0. Calculate m.
-1
Suppose 0*o = 5*o - 60. Suppose -3*k - 5*m - 4 = -4*m, k - 3*m = o. Solve -2/3*y**2 + k + 2/3*y = 0 for y.
0, 1
Suppose 9 = 4*t - 27. Let i = 9 - t. Solve 2/5*v**2 + 0 + i*v = 0.
0
Suppose 28 - 10 = 6*f. Let u(t) be the second derivative of 1/6*t**f + 1/20*t**5 + 1/6*t**4 + 0 - 2*t + 0*t**2. Factor u(g).
g*(g + 1)**2
Suppose -2*g = 4*q - 30, 4*q + 0*g = -3*g + 35. Suppose q*s = s. Suppose -1/3*b + s - 1/3*b**3 - 2/3*b**2 = 0. What is b?
-1, 0
Let k(b) be the second derivative of -b**5/20 - b**4/3 + b**3 + 7*b**2/2 + 3*b. Let i be k(-5). Factor h**2 + 3 + h**2 - 3 - i*h**3.
-2*h**2*(h - 1)
Let s(k) be the third derivative of 121*k**5/60 - 11*k**4/6 + 2*k**3/3 - 12*k**2. Let s(d) = 0. What is d?
2/11
Factor 2/5*y**2 - 2/5*y + 0.
2*y*(y - 1)/5
Let r(x) be the first derivative of 4/21*x**3 + 3/7*x**2 + 5 + 2/7*x. Let r(y) = 0. What is y?
-1, -1/2
Let g(m) be the second derivative of -m**4/54 - 5*m**3/27 + 10*m. Suppose g(j) = 0. What is j?
-5, 0
Suppose 2*r - 3*r - 10 = 2*q, -2*q = 2*r + 24. Let v be 1 + -1 + (-4)/r. What is w in 2/7*w + v*w**2 + 0 = 0?
-1, 0
Let u(k) be the second derivative of k**7/70 - k**6/25 + k**4/10 - k**3/10 + 8*k. Let u(b) = 0. What is b?
-1, 0, 1
Solve 12/13*d**2 - 2/13*d**4 - 16/13*d + 0*d**3 + 6/13 = 0 for d.
-3, 1
Let q(j) be the second derivative of -5*j - 1/3*j**3 + 1/60*j**6 + 0*j**4 + 0 + 3/40*j**5 + 0*j**2. Factor q(f).
f*(f - 1)*(f + 2)**2/2
Suppose 3/4*d**2 - 27/4 + 0*d = 0. What is d?
-3, 3
Let u(y) = y - 1. Let i(g) = -g**2 + 4*g - 3. Let b(j) = 2*i(j) - 4*u(j). Find l such that b(l) = 0.
1
Let i(b) = 3*b + 5. Let c be i(-5). Let h be (-13)/c - (-2)/(-4). Suppose -6/5*z + 6/5*z**4 + 14/5*z**3 + 6/5*z**2 - h = 0. Calculate z.
-1, 2/3
Let x(a) = -a**2 + 5*a. Let q be 6/24 + (-30)/(-8). Let j be x(q). Let 12*w**3 - w + 3*w**j - 10*w**3 - w - 3*w**2 = 0. Calculate w.
-1, -2/3, 0, 1
Let b(y) be the third derivative of -y**6/45 - y**5/10 - y**4/18 - 17*y**2. Solve b(f) = 0 for f.
-2, -1/4, 0
Let u be -1 + 2 + (-1)/(-1). Factor -8 + 10 + 2*w**u - w**2 + 3*w.
(w + 1)*(w + 2)
Suppose 0 = -7*l + 5 + 16. Factor 0*v - 3/4*v**2 + 0 + 3/4*v**l.
3*v**2*(v - 1)/4
Let i be (2/6)/(50/30). Determine u so that 0 - i*u**2 + 1/5*u**4 - 2/5*u + 2/5*u**3 = 0.
-2, -1, 0, 1
Let t(m) be the third derivative of -5*m**2 + 2/735*m**7 + 0 + 0*m**6 + 0*m**3 + 0*m + 1/1176*m**8 - 1/105*m**5 - 1/84*m**4. Find p such that t(p) = 0.
-1, 0, 1
Let -5/4*b + 0 - 5*b**2 = 0. Calculate b.
-1/4, 0
Let o = 27 + -25. Let u(h) be the third derivative of 0*h**3 + 0 + 1/525*h**7 - 1/150*h**5 + h**o + 1/120*h**4 - 1/1680*h**8 + 0*h + 0*h**6. Factor u(m).
-m*(m - 1)**3*(m + 1)/5
Let y(k) be the second derivative of k**4/24 - k**3/12 - k**2/2 - 13*k. Factor y(t).
(t - 2)*(t + 1)/2
Factor 1/7*o**4 + 0*o**2 + 0*o**3 + 0 + 0*o + 1/7*o**5.
o**4*(o + 1)/7
Let z = 53/1269 + 5/47. Let a(r) be the first derivative of 1/18*r**4 + z*r**3 + 0*r + 3 + 0*r**2. Solve a(b) = 0 for b.
-2, 0
Let f(l) be the third derivative of 0*l**3 - 6*l**2 - 1/270*l**5 - 1/36*l**4 + 0*l + 0. Let f(o) = 0. What is o?
-3, 0
Suppose -4*x = -5*x - 4*a - 1, 4*x = -a + 11. Factor c**2 - 25 - c**x + 25.
-c**2*(c - 1)
Suppose 6*j = 10*j. Let z(t) be the second derivative of 2/5*t**5 - 1/3*t**4 - 4/3*t**3 + j + 1/5*t**6 - t**2 + t. Factor z(a).
2*(a - 1)*(a + 1)**2*(3*a + 1)
Let n be (1 - 1) + (-14271)/21. Let s = 681 + n. Find p, given that -s*p**2 - 8/7 + 2/7*p**3 + 16/7*p = 0.
1, 2
Solve 55*z - 70*z + 2*z**2 + 6 + 7*z**2 = 0.
2/3, 1
Let z(d) be the second derivative of 5*d**7/21 - 4*d**6