f 1/2*z**4 + 0*z**5 - 1/6*z**6 - 1/2*z**2 + 0*z**3 + 13 + 0*z. Suppose u(n) = 0. Calculate n.
-1, 0, 1
Let b(g) be the first derivative of 0*g + 0*g**2 + 0*g**4 - 1/10*g**5 - 1/120*g**6 - 4/3*g**3 + 9. Let y(p) be the third derivative of b(p). Factor y(d).
-3*d*(d + 4)
Let 0 - 1/3*g**4 + 6*g**2 + g**3 + 0*g = 0. Calculate g.
-3, 0, 6
Factor -48/5*h - 144/5 - 1/10*h**3 + 11/5*h**2.
-(h - 12)**2*(h + 2)/10
Suppose 5*w + 5*t - 10 = 0, 4*w - 5*w + 3*t + 10 = 0. Solve -63*b**3 + 2*b**w + 13*b - 7*b**5 + 24*b**2 + 28*b**5 + 4*b**4 - b = 0.
-2, -2/7, 0, 1
Let f(q) be the second derivative of -5/6*q**3 + 0 - 8*q + 1/6*q**6 - 5/12*q**4 + 0*q**2 + 1/4*q**5. Determine j so that f(j) = 0.
-1, 0, 1
Let q(l) be the third derivative of 2/75*l**6 + 7/60*l**4 + 0*l + 0 - l**2 + 1/15*l**3 + 7/75*l**5. Find n, given that q(n) = 0.
-1, -1/2, -1/4
Let b(v) = 4*v**4 + 6*v**3 - 5*v**2 - 7*v + 7. Let p(s) = 2*s**4 + 3*s**3 - 2*s**2 - 3*s + 3. Let d(g) = -3*b(g) + 7*p(g). Solve d(k) = 0 for k.
-1, -1/2, 0
Let y(c) be the first derivative of c**6/105 + 2*c**5/35 + 5*c**4/42 + 2*c**3/21 + 31*c + 2. Let q(u) be the first derivative of y(u). Factor q(r).
2*r*(r + 1)**2*(r + 2)/7
Let s be 1/6 + (-452)/1200. Let l = 1/25 - s. Factor -1/2 - 3/4*p - l*p**2.
-(p + 1)*(p + 2)/4
Let p = -3/775 + -177466/2325. Let k = p + 77. Factor -16/3*x - 8/3 - k*x**3 - 10/3*x**2.
-2*(x + 1)*(x + 2)**2/3
Let r(u) be the first derivative of 5/3*u**3 + 0*u + 0*u**2 + 0*u**4 - u**5 + 5. Suppose r(o) = 0. Calculate o.
-1, 0, 1
Let y(w) be the third derivative of 5 + 2*w**2 + 8/9*w**3 - 1/90*w**6 + 0*w + 1/18*w**4 - 4/45*w**5. Factor y(f).
-4*(f - 1)*(f + 1)*(f + 4)/3
Let -23 - 5*f**2 - 9 + 93*f - 13*f - 1 - 42 = 0. What is f?
1, 15
Let i(y) be the second derivative of -3*y**5/20 - 5*y**4/3 + 61*y**3/6 - 9*y**2 + 980*y. Factor i(r).
-(r - 2)*(r + 9)*(3*r - 1)
Let d = 90 + -81. Suppose 36*h - 33*h - d = 0. Determine n, given that -1/5*n**2 - 2/5*n**h + 1/5*n + 0 = 0.
-1, 0, 1/2
Factor -10*t**2 - 101*t - 60 + 13*t**2 + 77*t.
3*(t - 10)*(t + 2)
Let c(k) be the first derivative of 24*k - 14*k**3 + 39/4*k**4 - 6*k**2 - 9/5*k**5 - 25. Let c(r) = 0. Calculate r.
-2/3, 1, 2
Let i be (-11)/(-5) + 144/180. Suppose 3*x + i = -2*s + 4, -3*s + 4 = 2*x. Solve t - 5/2*t**4 + 0 - t**3 + 5/2*t**s = 0 for t.
-1, -2/5, 0, 1
Factor 3/2*c**2 - 93/2 + 45*c.
3*(c - 1)*(c + 31)/2
Let a(n) be the first derivative of 4*n**5/5 + 4*n**4 + 20*n**3/3 + 4*n**2 + 91. Determine j, given that a(j) = 0.
-2, -1, 0
Let h be (-1)/((-45)/10) - 5/24. Let z(v) be the second derivative of 1/9*v**3 + 0 - 2*v + h*v**4 + 1/3*v**2. Factor z(r).
(r + 2)**2/6
Let w = 83 - 77. Let r be -14*w/(-54)*24/14. Factor r*z**2 + 8/3*z + 2/3*z**3 + 0.
2*z*(z + 2)**2/3
Let c be 0 - (120/(-42) + 2). Let g(l) be the first derivative of 1 - 4/7*l**2 - 2/21*l**3 - c*l. Let g(w) = 0. What is w?
-3, -1
Let s(j) be the third derivative of -j**6/480 - j**5/24 - 25*j**4/96 + 177*j**2 - 2*j. Factor s(u).
-u*(u + 5)**2/4
Let m be 4/(-5) - -1 - (68/(-4) + 17). Factor m + 1/5*s**2 + 2/5*s.
(s + 1)**2/5
Let m(t) be the second derivative of 5*t**4/12 - 115*t**3/3 + 2645*t**2/2 - 314*t + 2. Factor m(f).
5*(f - 23)**2
Let a be 3/((147/14)/(-7)) + (9 - 5). Factor 0 + 1/4*z**a + 0*z.
z**2/4
Let h be ((6/3)/(-10))/((-50)/125). Let k(i) be the second derivative of -3/40*i**5 - h*i**4 + 2*i + 0 - 3/2*i**2 - 5/4*i**3. Determine a so that k(a) = 0.
-2, -1
Suppose -2*g - 9 = -5*p - 1, 2*g + 8 = p. Let t(l) be the third derivative of 1/2*l**3 - 2*l**2 + p*l + 5/8*l**4 + 0 + 1/5*l**5. Factor t(v).
3*(v + 1)*(4*v + 1)
What is p in 0 + 0*p + 40/3*p**2 - 2/3*p**4 + 38/3*p**3 = 0?
-1, 0, 20
Suppose 3*d - 6 = 0, 5*d = 3*w + 2*d. Find t, given that -3*t**3 + 9*t**4 + 2 - 3*t**5 + 3*t**w - 2 - 6*t**3 = 0.
0, 1
Suppose 4*j + j - 30 = -5*r, r = -4*j + 21. Let 0*g**3 + 5*g**4 - 186*g**5 + 188*g**j + 2*g**3 = 0. What is g?
-2, -1/2, 0
Let z(b) be the third derivative of b**7/2100 + b**6/900 - b**3/2 + 12*b**2. Let v(m) be the first derivative of z(m). Factor v(u).
2*u**2*(u + 1)/5
Suppose -4*v = 4*k - 8, 13 = 4*v + 907*k - 908*k. Let -3/8*g**2 - 6 + v*g = 0. Calculate g.
4
Let p = 2731 + -13654/5. Let w(t) be the second derivative of 6*t + 0*t**2 + 3/40*t**5 - p*t**6 - 1/4*t**3 + 0 + 1/2*t**4. Determine z, given that w(z) = 0.
-1, 0, 1/4, 1
Suppose 5*b - 3*y = -4*y + 4, 4*b + y - 4 = 0. Suppose g + 2*g = -b*g. Factor g - 2/3*r**3 + 1/3*r**2 + 0*r - r**4.
-r**2*(r + 1)*(3*r - 1)/3
Let w(c) be the second derivative of -c**7/280 - c**6/60 + c**5/10 + c**4 - 7*c**3/6 + c. Let q(x) be the second derivative of w(x). Solve q(v) = 0.
-2, 2
Let 1/6*f**3 + 8*f - 32/3 + 5/2*f**2 = 0. What is f?
-8, 1
Let t(a) be the first derivative of 3*a**5 - 51*a**4/4 + 6*a**3 + 30*a**2 - 24*a + 425. Factor t(f).
3*(f - 2)**2*(f + 1)*(5*f - 2)
Suppose -3*n + 8 = 5*j - 24, 8 = -4*j. Find m such that n*m - 8*m + m**3 + 20*m**3 - 27*m**2 = 0.
0, 2/7, 1
Suppose 171 + 9 = -6*z. Let q be 12/z + (-54)/(-10). Factor -5*a**5 + 0*a**q + 4*a**2 + 4*a - 11*a**3 + 5*a**5 - 6*a**4 + 9*a**5.
a*(a - 1)**2*(3*a + 2)**2
Let v(m) be the third derivative of 10/27*m**3 - 4*m**2 - 1/270*m**5 + 0*m - 1/36*m**4 + 0. Factor v(z).
-2*(z - 2)*(z + 5)/9
Let f be 42*((-2)/(-18))/(10/60). Factor 8*b**3 + 32*b**2 + 3*b**4 - f*b**2 + b**4 + 0*b**4.
4*b**2*(b + 1)**2
Let -5*x**4 + 6*x**3 - 13*x**3 + 110*x**2 - 13*x**3 - 85*x**2 = 0. Calculate x.
-5, 0, 1
Let a(q) be the third derivative of -q**9/3402 - q**8/1512 - q**7/3780 - 3*q**3/2 + 4*q**2. Let u(x) be the first derivative of a(x). What is m in u(m) = 0?
-1, -1/4, 0
Let h(y) = -9*y**2 + 11*y - 7. Let s(a) be the second derivative of -5*a**4/6 + 5*a**3/3 - 3*a**2 + 18*a. Let n(l) = 6*h(l) - 5*s(l). Factor n(b).
-4*(b - 3)*(b - 1)
Determine o so that 109*o**4 - 39*o**2 - o**5 - 25*o - 47*o**4 - 6*o**3 - 54*o**4 - o**2 = 0.
-1, 0, 5
Suppose -3*r + 20 = -10. Factor 2*b**3 + 0 + 5*b**5 - 5 + r*b**2 + 5*b - 11*b**3 - 5*b**4 - b**3.
5*(b - 1)**3*(b + 1)**2
Let u(l) be the second derivative of -l**7/2940 - l**6/252 - l**5/70 + l**3 - 12*l. Let g(s) be the second derivative of u(s). Suppose g(t) = 0. What is t?
-3, -2, 0
Let u(g) be the first derivative of -g**4/2 + 10*g**3/3 + 4*g**2 - 40*g - 6. Find f, given that u(f) = 0.
-2, 2, 5
Suppose 8630*g - 456 = 8516*g. Suppose 20/3*h**3 + 8/3 + 10*h + 40/3*h**2 - 2/3*h**5 + 0*h**g = 0. What is h?
-1, 4
Let m(k) = 25*k**5 - 21*k**4 - 23*k**3 + 9*k**2 + 10*k. Let b(z) = -z**4 + 2*z**3 - z**2. Let a(s) = -6*b(s) + m(s). Determine f, given that a(f) = 0.
-1, -2/5, 0, 1
Let d(a) = -a + 22. Let x be d(10). Let v be (x/(-10))/(3/(-15)). Factor 8*u**3 + 0*u**3 - 10*u**3 - v*u**2 - 4*u.
-2*u*(u + 1)*(u + 2)
Suppose -130 = 19*s + 7*s. Let d be 4 + (-5)/(s/(-4)). Factor 2/13*j**3 + 2/13*j**2 - 2/13*j**4 + d - 2/13*j.
-2*j*(j - 1)**2*(j + 1)/13
Let c = -12/115 + 314/805. What is s in c*s**2 + 0 + 4/7*s = 0?
-2, 0
Let j(c) be the second derivative of -c**5/110 - c**4/22 + 8*c**3/11 + 80*c**2/11 + 11*c. What is q in j(q) = 0?
-4, 5
Suppose 138*y - 380 = -104. Find o such that -1/5*o**y + 1/5*o + 2/5 = 0.
-1, 2
Find s such that -152*s**2 - 35*s - 11*s**3 + 3*s - 25*s**3 = 0.
-4, -2/9, 0
Suppose 3*q = -1 + 7. Factor 3*p**4 + 7*p**q + p - 6*p**2 - 4*p**2 - 3*p**3 + 2*p.
3*p*(p - 1)**2*(p + 1)
Suppose -14*b = -159 - 142 + 259. Solve 8/3*k**2 - 2/3*k**b + 0*k + 0 = 0.
0, 4
Suppose -9*b + 10*b = 4*y + 19, -3*b - 4*y = -121. Let t be (b/(-6) + 6)*2. Factor 0 - t*s**2 - 1/6*s**3 + 0*s.
-s**2*(s + 2)/6
Let y(z) be the second derivative of -3*z**5/10 + 5*z**3/3 + 4*z. Let c(p) = -13*p**3 - p**2 + 20*p + 1. Let x(q) = 4*c(q) - 7*y(q). Solve x(w) = 0.
-1, -2/5, 1
Let x = 825/2 - 412. Let d(s) be the first derivative of 5/8*s**4 - 1/4*s**2 + 4 + x*s - 1/5*s**5 - 1/2*s**3. Find q such that d(q) = 0.
-1/2, 1
Let -2/5*d**4 + 4/5*d - 2*d**2 + 0 + 8/5*d**3 = 0. Calculate d.
0, 1, 2
Let v be ((-14)/(-12))/(-7)*(-6 - -4). Find o such that -v - 1/6*o**2 - 1/2*o = 0.
-2, -1
Let t(c) = 7*c**4 - 7*c**3 + 26*c**2 - 34*c + 23. Let r(o) = -9*o**4 + 9*o**3 - 27*o**2 + 33*o - 24. Let p(u) = -5*r(u) - 6*t(u). Let p(n) = 0. What is n?
-3, 1, 2
Let j = -18 - -22. What is m in 31*m - 20*m**2 + 20*m**3 - 31*m - 5*m**j = 0?
0, 2
Let i(s) = -3 - 10*s - 12*s**3 + 15 + 7 + 9*s**2 + 11*s**3. Let n be i(8). 