t z(g) = 0.
-1, 0, 2
Let v = -470 + 2353/5. Determine t, given that 39/5*t**3 + 36/5*t**2 + v*t**5 + 18/5*t**4 + 0 + 12/5*t = 0.
-2, -1, 0
Let f(s) be the third derivative of s**8/140 + 4*s**7/525 - s**6/150 + 13*s**2. Find k, given that f(k) = 0.
-1, 0, 1/3
Find w such that -4*w + 4*w - 2*w**2 = 0.
0
Let z(f) be the third derivative of f**4/12 - 11*f**3/6 + f**2. Let k be z(8). Suppose 0*m**2 - m**3 + m - 1 + k*m**2 - 4*m**2 = 0. Calculate m.
-1, 1
Let h(c) = 2*c**3 + 16*c**2 - 4. Let i(b) = -3*b**3 - 17*b**2 + 5. Let x(v) = 5*h(v) + 4*i(v). Factor x(m).
-2*m**2*(m - 6)
Factor -12*d**3 + 4*d - 7*d + 3*d**4 + 3*d.
3*d**3*(d - 4)
Let s(h) be the second derivative of -3*h**5/100 - 3*h**4/10 - 6*h**3/5 - 12*h**2/5 - 2*h. Determine g so that s(g) = 0.
-2
Let w(d) = 2*d - 44. Let f be w(22). Factor -3/4*z**4 + f + 0*z**3 + 3/4*z**2 + 0*z.
-3*z**2*(z - 1)*(z + 1)/4
Let k(c) be the third derivative of -c**8/504 - 2*c**7/105 - 7*c**6/90 - 8*c**5/45 - c**4/4 - 2*c**3/9 + c**2. Factor k(a).
-2*(a + 1)**4*(a + 2)/3
Let c be (1/4)/(6/72). Factor -59*y**2 + 56*y**2 + 6*y**c - y**4 + 4*y**4 - 6*y.
3*y*(y - 1)*(y + 1)*(y + 2)
Find r, given that 0 - 3/5*r**2 - 3/5*r = 0.
-1, 0
Let y(r) be the third derivative of -1/3*r**3 + 1/30*r**5 + 0 + 2*r**2 + 1/12*r**4 + 0*r - 1/60*r**6. Factor y(b).
-2*(b - 1)**2*(b + 1)
Let s(n) = 41*n**2 + 16*n - 12. Let p(z) = 42*z**2 + 15*z - 12. Let q(x) = 4*p(x) - 3*s(x). Solve q(v) = 0.
-2/3, 2/5
Let d be 2/24 - (-2 - -2)*1. Let i(g) be the third derivative of d*g**6 + 7/30*g**5 + 1/6*g**4 + 0 + 0*g**3 + g**2 + 0*g. Suppose i(h) = 0. Calculate h.
-1, -2/5, 0
Suppose 0*b = 2*s + 4*b - 12, -s + 4 = b. Solve 2 + q + q**2 - 3*q**2 + 0 - q**s = 0 for q.
-2/3, 1
Suppose k + 1/2*k**2 - k**3 + 0 - 1/2*k**4 = 0. Calculate k.
-2, -1, 0, 1
Let m(c) = -2*c**2 + 3*c + 5. Let z(h) be the first derivative of h**2/2 + h + 4. Let d(w) = -m(w) + 5*z(w). Determine n so that d(n) = 0.
-1, 0
Let l be -14 + 10 + ((-44)/(-10))/1. Factor 0*t - 2/5*t**3 + 0 - l*t**4 + 0*t**2.
-2*t**3*(t + 1)/5
Let p(a) be the third derivative of a**8/168 - a**7/35 + a**6/60 + a**5/10 - a**4/6 + 6*a**2. Factor p(u).
2*u*(u - 2)*(u - 1)**2*(u + 1)
Suppose 0 = 2*h - 4*l + 2, -7*h + 3*h = -4*l - 8. Suppose -h*y - x + 15 = 0, -2*x = 2*y + 4 - 2. Factor -1/2*g**y + g + 1/2 - g**3 + 0*g**2.
-(g - 1)*(g + 1)**3/2
Let x(b) be the second derivative of -2*b**6/15 - 3*b**5/5 - 2*b**4/3 - 7*b. Find t such that x(t) = 0.
-2, -1, 0
Let j be ((-4)/6)/(12/(-18)). Let z(p) be the first derivative of 0*p + 1/15*p**3 - j - 1/5*p**2. Factor z(m).
m*(m - 2)/5
Determine s so that 3/5*s**2 - 1/5*s**4 - 2 - s**3 + 13/5*s = 0.
-5, -2, 1
Let 3/4*m**5 + 0 + 3*m + 3/2*m**4 - 3*m**2 - 9/4*m**3 = 0. Calculate m.
-2, 0, 1
Let a(u) be the third derivative of u**5/480 + u**4/24 + u**3/3 - 19*u**2. Factor a(s).
(s + 4)**2/8
Suppose 28 = 8*g - 20. Let d(k) be the first derivative of -2/7*k**3 + 1/21*k**g + 6/35*k**5 + 0*k - 2/7*k**2 + 1/14*k**4 - 4. Solve d(l) = 0.
-2, -1, 0, 1
Solve 45/2*n**2 + 0*n + 35/2*n**4 + 75/2*n**3 + 5/2*n**5 + 0 = 0.
-3, -1, 0
Let i(t) be the second derivative of -t**4/27 - 4*t**3/27 + 8*t. Let i(f) = 0. What is f?
-2, 0
Let w(p) = -3*p**2 - 6*p - 4. Let j(l) = 9*l**2. Let z be j(-1). Let d(x) = z + 11*x + 0 + 6*x + 8*x**2 + 2. Let i(f) = -4*d(f) - 11*w(f). Solve i(h) = 0 for h.
0, 2
Let p(t) = -t**3 - 5*t**2 - 3*t + 4. Let i be p(-4). Suppose i*j = -2*j. Let j + 0*a**3 - 2/7*a**4 + 2/7*a**2 + 0*a = 0. What is a?
-1, 0, 1
Suppose 2/5 - 3/5*c - 1/5*c**2 - 1/5*c**4 + 3/5*c**3 = 0. What is c?
-1, 1, 2
Suppose u + 155 = -5*z + 3*u, 5*z + 165 = 4*u. Let n = z - -31. Let 6/11*h**n + 2/11*h + 0 = 0. Calculate h.
-1/3, 0
Let i(n) be the second derivative of n**5/4 + 5*n**4/6 + 5*n**3/6 + 9*n. Factor i(s).
5*s*(s + 1)**2
Factor -1/5*b**2 - 1/5*b**3 + 0 + 2/5*b.
-b*(b - 1)*(b + 2)/5
Let s = 502604/252681 + -378/589. Let k = s + -2/143. Let 0*y + 2/3*y**3 + k*y**5 + 7/3*y**4 - 1/3*y**2 + 0 = 0. Calculate y.
-1, 0, 1/4
Let x = 3/5 - -11/15. Factor 5/3*n**2 + 8/3*n + x + 1/3*n**3.
(n + 1)*(n + 2)**2/3
Let d(v) be the third derivative of v**7/630 + v**6/90 + v**5/36 + v**4/36 - 17*v**2. What is i in d(i) = 0?
-2, -1, 0
Let i(u) be the second derivative of -u**5/40 + u**4/8 + u**3/2 - 2*u**2 - 13*u. Find v such that i(v) = 0.
-2, 1, 4
Let r(q) be the first derivative of 2*q**5/25 - 3*q**4/5 + 2*q**3/3 - 47. Let r(d) = 0. Calculate d.
0, 1, 5
Let l = -9 - -6. Let t be (2/10)/(l/(-5)). Factor 2/3*h**2 + t*h + 0 + 1/3*h**3.
h*(h + 1)**2/3
Let t = 177 + -173. Find o such that 0 + 2/3*o - o**3 + 1/3*o**2 - 1/3*o**t + 1/3*o**5 = 0.
-1, 0, 1, 2
Factor 29*d + 39*d + 20*d**2 - 1166 + 1190.
4*(d + 3)*(5*d + 2)
Let c(u) be the second derivative of 9*u**7/14 + u**6/2 - 8*u**5/15 + u**4/9 + 2*u. Factor c(h).
h**2*(h + 1)*(9*h - 2)**2/3
Let j = -2416/3 + 808. Suppose 2*x + x = -2*r + 5, 4*r = -3*x + 13. Determine i so that -2/3 + 8/3*i - 2/3*i**r + j*i**3 - 4*i**2 = 0.
1
Let r(o) be the first derivative of -1/12*o**3 + 0*o + 1/8*o**2 + 2. What is h in r(h) = 0?
0, 1
Let j(z) be the second derivative of -z**4/3 - 4*z**3/3 - 2*z**2 + 4*z. Let j(t) = 0. What is t?
-1
Factor 9*u + 4/5*u**3 - 5 - 24/5*u**2.
(u - 1)*(2*u - 5)**2/5
Let p(f) be the first derivative of 2*f**5/5 - 5*f**4/2 + 4*f**3 + 28. Factor p(b).
2*b**2*(b - 3)*(b - 2)
Let n be (0 - -1)/(2/6). Factor o**5 - 7 + 7 - o**2 - 2*o**4 - o**3 + n*o**4.
o**2*(o - 1)*(o + 1)**2
Let v(m) = 2*m**5 + 13*m**4 - 23*m**3 - 13*m**2 + 18*m. Let l(b) = -b**5 + b**4 - b**3 - b**2 + b. Let g(h) = -3*l(h) + v(h). Determine r so that g(r) = 0.
-3, -1, 0, 1
Let i(x) be the first derivative of -5*x**6/6 + 11*x**5 - 115*x**4/4 - 235*x**3/3 + 60*x**2 + 180*x + 28. Suppose i(r) = 0. Calculate r.
-1, 1, 6
Solve -1/4*b**4 + 1/12*b**2 - 1/3*b**3 + 0 + 1/6*b = 0.
-1, 0, 2/3
Suppose -j + 6 = 2. Suppose 0 = 5*n - j*n - 2. Let -1/3 + 4/3*a - 1/3*a**4 - 2*a**n + 4/3*a**3 = 0. Calculate a.
1
Let q(v) be the third derivative of -v**5/15 - v**4/3 + 17*v**2. Factor q(t).
-4*t*(t + 2)
Let t be 4*1/(2/1). Let i = t - -4. Factor -4*f**3 - i*f**2 - 6*f**4 + 3*f - 7*f**3 - 4*f.
-f*(f + 1)*(2*f + 1)*(3*f + 1)
Let y(j) be the second derivative of j**5/20 + 5*j**4/12 + 4*j**3/3 + 2*j**2 + 4*j. Suppose y(o) = 0. Calculate o.
-2, -1
Find d, given that 1/5*d - 1/5*d**3 - 1/5 + 1/5*d**2 = 0.
-1, 1
Suppose -5*j = -9*j + 8. Let -2*d**3 - 2*d**2 - j*d + 14 + 2*d**4 - 14 + 4*d = 0. What is d?
-1, 0, 1
Let o(s) be the second derivative of -s**5/50 + s**4/30 + 25*s. Solve o(x) = 0 for x.
0, 1
Determine g so that -5/4*g + 1/4*g**3 - 1/2 + 1/4*g**4 - 3/4*g**2 = 0.
-1, 2
Let x be 0 - 8/(-6) - (2 - 1). Factor -1/3*y**3 + 1/3*y - 1/3 + x*y**2.
-(y - 1)**2*(y + 1)/3
Let i(z) be the first derivative of z**4/4 + z**3 - 2*z + 2. Let w be i(-2). Find c such that -3*c**w + 5*c**2 + 0*c**2 + 2*c**3 + 0*c**3 = 0.
-1, 0
Let p(d) be the second derivative of -d**8/3360 - d**7/420 - d**6/160 - d**5/120 + 3*d**4/4 - 5*d. Let j(u) be the third derivative of p(u). Factor j(o).
-(o + 2)*(2*o + 1)**2/2
Let g = 2566/105 + -171/7. Let i(m) be the third derivative of -3*m**2 + 1/20*m**6 + 1/30*m**5 + 0 + 0*m - 1/4*m**4 - 2/3*m**3 + g*m**7. Factor i(d).
2*(d - 1)*(d + 1)**2*(d + 2)
Let n be (8/(-30))/(((-16)/10)/4). Let f(a) be the first derivative of 0*a**2 + 1 + 0*a**4 - 2/5*a**5 + n*a**3 + 0*a. Find z such that f(z) = 0.
-1, 0, 1
Let v(j) be the second derivative of -j**5/30 + j**4/18 + 4*j**3/9 - 4*j**2/3 + 7*j. Factor v(y).
-2*(y - 2)*(y - 1)*(y + 2)/3
Let g(w) be the second derivative of w**5/80 + 13*w**4/48 + w**3/2 - 11*w. What is s in g(s) = 0?
-12, -1, 0
Let c = 52 + -21. Let k = c + -59/2. Determine a so that 3*a**5 + 11/2*a**4 - 3/2*a**2 + 0 + k*a**3 - 1/2*a = 0.
-1, -1/3, 0, 1/2
Factor -20*p**2 - 24*p**2 - 25 + 49*p**2 - 20*p.
5*(p - 5)*(p + 1)
Let i(m) be the third derivative of -m**7/1575 + m**5/450 - 12*m**2. Factor i(s).
-2*s**2*(s - 1)*(s + 1)/15
Let b(v) be the third derivative of v**8/11760 - v**7/2940 + v**6/2520 + v**3/6 - 5*v**2. Let g(a) be the first derivative of b(a). Suppose g(f) = 0. What is f?
0, 1
Let y = -73 + 79. Let s(h) be the second derivative of 1/3*h**3 - 32/15*h**y + 7/6*h**4 + 3/5*h**5 + 0 - h + 0*h**2 - 32/21*h**7. Find o such that s(o) = 0.
-1, -1/4, 0, 1/2
Factor -2*q**3 + 4*q**2 - 