(j) + 7*s(j). Determine o so that h(o) = 0.
4
Suppose 0*x - 2/9 - 2/3*x**4 + 4/9*x**5 + 8/9*x**2 - 4/9*x**3 = 0. Calculate x.
-1, -1/2, 1
Let g be (-90)/(-21) + 2/(-7). Suppose -8 = -4*q + 2*q + 4*c, 2*c + 10 = g*q. Factor -8/7*u + 6/7*u**3 + 0 + 2/7*u**4 + 0*u**q.
2*u*(u - 1)*(u + 2)**2/7
Let o = 132 + -127. Let u(h) be the second derivative of 0*h**o + 0 + 1/15*h**6 - 1/6*h**4 - 2*h + 0*h**3 + 0*h**2. Find b, given that u(b) = 0.
-1, 0, 1
Let u be 20*((-11)/5 + 3). Let j = u + -13. Factor 8/5 - 18/5*w**2 - 14/5*w**j + 24/5*w.
-2*(w - 1)*(w + 2)*(7*w + 2)/5
Let q = 26720/3003 - 1808/195. Let g = 2/77 - q. Suppose -g + 4/5*v - 2/5*v**2 = 0. Calculate v.
1
Suppose 6*g = -2*g + 16. Factor -b**g + 5/2*b**3 + 0 + 0*b.
b**2*(5*b - 2)/2
Let i(p) be the second derivative of p**6/240 - p**2/2 - 2*p. Let q(a) be the first derivative of i(a). Factor q(u).
u**3/2
Let u be (2 - 0) + (0 - 0). Factor -1 + 0*r**u - 2 - 3*r**2 + 6*r + 0.
-3*(r - 1)**2
Let i(g) be the second derivative of -g**5/20 - 3*g**4/4 - 9*g**3/2 + 5*g**2/2 + 3*g. Let c(u) be the first derivative of i(u). What is r in c(r) = 0?
-3
Suppose 5*x - 2 = 4*x. Let c(z) = z**3 + 12*z**2 - 12*z + 21. Let t be c(-13). Factor t*b**2 + 15*b**4 - 4*b**x - 19*b**4 - 2*b + 2*b**5.
2*b*(b - 1)**3*(b + 1)
Let c(f) be the first derivative of f**4/12 + f**3/9 - f**2/3 + 7. Factor c(r).
r*(r - 1)*(r + 2)/3
Solve -2/3*a + 1 - 1/3*a**2 = 0 for a.
-3, 1
Solve -5/3*o**2 + 1/3*o + 2/3*o**3 + 2/3 = 0 for o.
-1/2, 1, 2
Let v = -21 + 24. Let w(q) be the first derivative of 1/14*q**4 + 2/7*q**v - 2 - 1/7*q**2 - 4/35*q**5 - 2/7*q. Let w(j) = 0. Calculate j.
-1, -1/2, 1
Let n(g) be the first derivative of -g + 1/5*g**5 + 0*g**3 - g**2 - 9 + 1/2*g**4. Factor n(d).
(d - 1)*(d + 1)**3
Let o(q) be the second derivative of -q**6/20 + 3*q**5/5 + q**4/8 - 2*q**3 + 3*q. Determine d so that o(d) = 0.
-1, 0, 1, 8
Let m(q) be the second derivative of 0 + 0*q**2 - 1/15*q**6 + 0*q**3 - 3*q - 1/5*q**5 - 1/6*q**4. Factor m(o).
-2*o**2*(o + 1)**2
Let q be -6*(1/(-2) + -1). Let j(m) = m - 6. Let k be j(q). Suppose -3*t + 0*t**4 - 2 + 7*t + 2*t**4 - 4*t**k = 0. What is t?
-1, 1
Suppose 5*i = 25, 3*s - i = -3*i + 19. Factor -k**2 - 5*k**s + 3*k**3 + k**3.
-k**2*(k + 1)
Let c = 0 + 7. Let o = 7 - c. Factor -1/2*w + 1/2*w**2 + o.
w*(w - 1)/2
Let r(w) be the second derivative of -w**6/135 - w**5/90 + w**4/18 + 5*w**3/27 + 2*w**2/9 - 6*w. Determine x so that r(x) = 0.
-1, 2
Let j(f) = -20*f**2 + 36*f + 50. Let v be (-2 + 1)*2*22. Let r(i) = 3*i**2 - 5*i - 7. Let d(p) = v*r(p) - 6*j(p). Factor d(t).
-4*(t - 1)*(3*t + 2)
Let f(c) be the first derivative of -5*c**7/126 + 7*c**6/90 - c**5/30 + 6*c + 3. Let u(g) be the first derivative of f(g). Factor u(r).
-r**3*(r - 1)*(5*r - 2)/3
Let v(j) be the second derivative of j**5/25 - j**4/15 - 2*j**3/15 + 2*j**2/5 - 4*j. Factor v(g).
4*(g - 1)**2*(g + 1)/5
Let q(t) be the second derivative of 0 + 4/3*t**3 + 3*t + 4*t**2 + 1/6*t**4. Factor q(l).
2*(l + 2)**2
Let c(k) be the second derivative of k**4/8 - 2*k**3 + 12*k**2 + 5*k. Factor c(h).
3*(h - 4)**2/2
Determine d, given that -3*d**2 + 3*d**2 - d**2 - 22*d + 7*d**2 - 8 = 0.
-1/3, 4
Let k(d) be the second derivative of 2*d**6/45 - 4*d**5/15 + 4*d**4/9 + 3*d. Factor k(s).
4*s**2*(s - 2)**2/3
Let k be (1/35)/((-2)/65). Let t = -3/7 - k. Determine m, given that -1/2*m + 1/2 + 1/2*m**3 - t*m**2 = 0.
-1, 1
Suppose -5*v = -2*r - 14, 0*r = r + 2*v - 11. Factor 27*g**3 + 2*g**3 + r*g**5 - g - 7*g**3 + 14*g**4 + 12*g**2 - 2.
(g + 1)**3*(g + 2)*(3*g - 1)
Let z = -16 + 21. Let h(j) be the third derivative of 0*j - 1/60*j**4 + 1/75*j**z + 1/300*j**6 - 2/15*j**3 + 0 + j**2. Factor h(d).
2*(d - 1)*(d + 1)*(d + 2)/5
Suppose -12 = -4*o - 0. Factor -1/3*r + 0 - 1/3*r**2 + 1/3*r**4 + 1/3*r**o.
r*(r - 1)*(r + 1)**2/3
Let t(l) be the third derivative of 3*l**2 + 0*l**3 - 1/24*l**4 + 0*l - 1/60*l**5 + 0. Factor t(x).
-x*(x + 1)
Determine a, given that -4/3*a**2 + 2/3*a - 2/3*a**3 + 4/3 = 0.
-2, -1, 1
Let t be -3*2/(-6) - 2. Let g be (t/(-3))/(4/6). Factor g*v**2 - 1/4*v - 1/4*v**3 + 0.
-v*(v - 1)**2/4
Suppose 4*y = 17 - 1. Suppose 1 = 2*j - 3. Let -2*a - j*a**2 + y*a + a**2 = 0. Calculate a.
0, 2
Let d(j) be the first derivative of j**4/14 + 4*j**3/21 - 5*j**2/7 - 12*j/7 + 15. Find c, given that d(c) = 0.
-3, -1, 2
Suppose 5*h = 16 + 9. Let s(b) be the third derivative of -1/48*b**4 + 1/240*b**6 - 3*b**2 + 1/420*b**7 + 0 - 1/120*b**h + 0*b**3 + 0*b. Solve s(y) = 0 for y.
-1, 0, 1
Suppose 12 = 5*y - 13. Suppose 0 = j - y*j. Factor j*d**4 + 2/3*d**3 + 0 + 0*d**2 - 1/3*d - 1/3*d**5.
-d*(d - 1)**2*(d + 1)**2/3
Find p such that 2 - 8*p**2 + 7*p**3 - 2 - 11*p**3 - 4*p = 0.
-1, 0
Let d(c) be the third derivative of -c**7/840 - 7*c**6/480 - c**5/48 + 7*c**4/96 + c**3/4 - 3*c**2. Suppose d(o) = 0. Calculate o.
-6, -1, 1
Let u(w) = 4*w**2 + 30*w + 62. Let r(p) = 4*p**2 + 29*p + 61. Let c(n) = 2*r(n) - 3*u(n). Factor c(f).
-4*(f + 4)**2
Let q = -18 + 21. Factor 14*z**2 + 3*z**q + 2*z - 8*z**2 + z.
3*z*(z + 1)**2
Let x(j) be the first derivative of j**4/2 + j**3 - j - 1. Factor x(a).
(a + 1)**2*(2*a - 1)
Let d(h) be the third derivative of -2*h**2 - 1/60*h**6 + 1/6*h**4 + 0 - 1/30*h**5 + 0*h**3 + 0*h. Factor d(z).
-2*z*(z - 1)*(z + 2)
Find z such that 2/5 - 2/5*z**2 + 0*z = 0.
-1, 1
Let m(g) be the second derivative of 0*g**2 - 1/12*g**4 + 1/210*g**7 + 2*g + 0 - 3/100*g**5 + 1/150*g**6 - 1/15*g**3. Factor m(a).
a*(a - 2)*(a + 1)**3/5
Let k = -1 - -5. Suppose 5*o - 9 = 2*f + 3, k*f + 4 = 0. Let 5*b**5 + b**4 - o*b**2 - 3*b + 5*b**4 - 2*b**5 - 4*b**2 = 0. Calculate b.
-1, 0, 1
Let f be 8/(-8)*0/(-2). Let a(j) be the second derivative of j - 1/20*j**5 + f - 1/4*j**4 - 1/2*j**2 - 1/2*j**3. Find h such that a(h) = 0.
-1
Let v(x) = -7*x**3 - 15*x**2 - 2*x + 2. Let r be v(-2). Let 2/9*l**r + 2/9 - 4/9*l = 0. Calculate l.
1
Let x(j) be the second derivative of -9*j**5/80 + j**4/3 + 31*j**3/24 + 3*j**2/4 + 51*j. Factor x(h).
-(h - 3)*(h + 1)*(9*h + 2)/4
Let 0*b + 0 - 1/2*b**2 + 1/4*b**4 - 1/4*b**3 = 0. What is b?
-1, 0, 2
Let c(b) be the second derivative of -b**8/840 - b**7/252 - b**6/540 + b**5/180 - b**3/2 + b. Let m(l) be the second derivative of c(l). Factor m(h).
-2*h*(h + 1)**2*(3*h - 1)/3
Let d = -21 - -29. Let u be (d/6)/(2/12). Let -10/3*f**2 - 8/3 + u*f = 0. What is f?
2/5, 2
Let y be (-196)/(-18) - 7/(441/14). Determine z, given that -16/3*z - y - 2/3*z**2 = 0.
-4
Let t(k) be the second derivative of -2*k + 0*k**3 + 1/96*k**4 + 0 + k**2 + 1/240*k**5. Let s(f) be the first derivative of t(f). Factor s(a).
a*(a + 1)/4
Let x = -579347/1890 + 8222/27. Let c = x + 23/10. Factor -4/7*t**4 + 2/7*t**5 + 0 + 0*t**2 + 0*t + c*t**3.
2*t**3*(t - 1)**2/7
Let p be (-156)/(-10) + (-12)/20. Let s = p - 13. Solve 3/4*b**s - b + 1/4*b**4 + b**3 - 1 = 0 for b.
-2, -1, 1
Let p(d) be the first derivative of 2*d**5/55 + d**4/22 - 2*d**3/33 - d**2/11 - 3. Solve p(t) = 0 for t.
-1, 0, 1
Let l(z) be the first derivative of z**3/3 - z - 6. Find s, given that l(s) = 0.
-1, 1
Let n(j) be the first derivative of 0*j + 4/15*j**5 + 2 - 4/9*j**3 + 0*j**4 - 1/9*j**6 + 1/3*j**2. Factor n(u).
-2*u*(u - 1)**3*(u + 1)/3
Let a(o) = -o**4 - 3*o**3 + 10*o**2 - 6*o. Let v(k) = k**2 - k. Let p(n) = 5*a(n) - 30*v(n). Suppose p(w) = 0. What is w?
-4, 0, 1
Factor 1/3*c**3 - 4/3*c + 0*c**2 + 0.
c*(c - 2)*(c + 2)/3
Suppose -4*u + 7 = -1. Suppose 0 = 2*m - u*i - 8, 5*m - 4*i - 25 + 7 = 0. Determine n so that 0*n + 6/5*n**4 + m*n**3 + 4/5*n**2 + 0 = 0.
-1, -2/3, 0
Let o(k) be the third derivative of k**8/504 + k**7/315 - k**6/180 - k**5/90 - 7*k**2. Factor o(n).
2*n**2*(n - 1)*(n + 1)**2/3
What is v in -2/5*v**2 + 48/5*v - 12/5*v**3 - 32/5 - 2/5*v**4 = 0?
-4, 1
Let l(c) be the second derivative of -c**6/20 + 3*c**5/40 + 3*c**4/4 - c**3 - 6*c**2 + c. Solve l(v) = 0.
-2, -1, 2
Let g be 2 + ((-754)/138 - -2). Let s = -3/23 - g. What is r in s*r - 2/3 - 2/3*r**2 = 0?
1
Suppose 0 = -2*w + 4. Let b be ((-1)/10*w)/(-1). Factor 1/5*u - 1/5*u**3 - 1/5*u**2 + b*u**4 + 0.
u*(u - 1)**2*(u + 1)/5
Let y(d) be the second derivative of 0 + 0*d**2 - 1/84*d**4 + 1/1260*d**6 + 1/2*d**3 + d + 0*d**5. Let g(f) be the second derivative of y(f). Factor g(p).
2*(p - 1)*(p + 1)/7
Factor 10/9*p**2 + 0 - 2/9*p.
2*p*(5*p - 1)/9
Let 32*k**2 - 6*k - 2*