 h**2/2 - 3. Let z(j) be the second derivative of i(j). Suppose z(g) = 0. Calculate g.
0, 1
Let d(g) be the first derivative of 0*g**2 + 7/12*g**4 - 2*g + 1/3*g**3 - 1. Let r(a) be the first derivative of d(a). Find i such that r(i) = 0.
-2/7, 0
Solve -2*q + 2*q - q**3 - 4*q**5 + 5*q**5 = 0.
-1, 0, 1
Let a = 38 + -18. Let i = -18 + a. Factor 2/7*f + 0 + 2/7*f**i.
2*f*(f + 1)/7
Find h, given that 2/3*h**3 - 2/3*h + 0 + 2/3*h**4 - 2/3*h**2 = 0.
-1, 0, 1
Let y = 1 + 1. Suppose -t = -n - 1, -2*t - 8 = -6*t + 2*n. Factor 2*o**t - 2*o + y*o**4 - o**2 - 2*o**2 + o**2.
2*o*(o - 1)*(o + 1)**2
Let j(u) = -u**2 + 5*u + 6. Let s(c) = 2*c + 2. Suppose -3*n + 9 = 0, -4*n + 5*n = y + 10. Let m(q) = y*s(q) + 2*j(q). Factor m(t).
-2*(t + 1)**2
Let s(n) be the third derivative of n**8/1848 - n**7/165 + 3*n**6/220 + 9*n**5/110 - 9*n**4/22 - 26*n**2. Find q such that s(q) = 0.
-2, 0, 3
Let u be 9/4 - 3/12. Factor -3*x**u + 3*x**3 - x**3 + 2*x**4 + x**3 - 3*x**4 + x.
-x*(x - 1)**3
Let k = 33 - 32. Let j(g) = 19*g**3 - 2*g**2 + 1. Let m be j(k). Let -m*x**2 - 12 - 6*x**3 - 3/4*x**4 - 24*x = 0. What is x?
-2
Let v = -14 - -16. Let d(r) = 5*r - 16. Let c be d(4). What is b in 4/9*b**3 - 2/9*b**v + 2/9*b**c + 0*b + 0 - 4/9*b**5 = 0?
-1, 0, 1/2, 1
Let c(l) be the first derivative of -4/7*l**5 + 20/7*l**4 - 64/7*l - 160/21*l**3 + 1/21*l**6 - 3 + 80/7*l**2. Determine o so that c(o) = 0.
2
Let a(d) be the second derivative of d**7/1260 - d**6/180 + d**5/60 + d**4/3 - 3*d. Let j(n) be the third derivative of a(n). Factor j(x).
2*(x - 1)**2
Suppose -5*n - 77 = 38. Let w = n - -23. Factor w + 1/3*y + 2/3*y**4 - y**3 + 0*y**2.
y*(y - 1)**2*(2*y + 1)/3
Factor 3 - 6*v - v**2 - 1 - 2*v**2 - 5.
-3*(v + 1)**2
Let g(t) = -3*t**3 + 9*t**2 - 3*t - 3. Let m(q) = -6*q**3 + 18*q**2 - 7*q - 5. Let l(h) = 5*g(h) - 3*m(h). Factor l(s).
3*s*(s - 2)*(s - 1)
Suppose 0 = -5*x + 15. Let -10*c + 2*c**3 - c**x + 8*c**2 + 3*c**3 - 6*c**3 + 4 = 0. What is c?
1, 2
Suppose 8*j = 13*j - 25. Let s(c) be the first derivative of 7/11*c**2 - 2/55*c**j - 4/11*c - 6/11*c**3 - 2 + 5/22*c**4. Determine a so that s(a) = 0.
1, 2
Let m(x) = -x**3 - x**2 + x. Let s(q) = 5*q**4 - 2*q**3 + 3*q**2 - 3*q. Let h(l) = -3*m(l) - s(l). Suppose h(w) = 0. Calculate w.
0, 1
Let v be 2276/(-2988)*(8 - 2). Let h = 8/83 - v. Factor 4/3 + 6*z + h*z**2.
2*(z + 1)*(7*z + 2)/3
Let h be ((-3)/4)/((-9)/36). Let c(b) be the second derivative of b + 1/6*b**4 + 0 - b**2 + 7/20*b**5 - 7/6*b**h. Suppose c(n) = 0. What is n?
-1, -2/7, 1
Let d(m) be the first derivative of -m**6/120 + m**4/8 - m**3/3 - 3*m**2/2 + 3. Let p(l) be the second derivative of d(l). Factor p(i).
-(i - 1)**2*(i + 2)
Let x = -2 - -8. Let a(h) be the second derivative of 0*h**5 + 1/9*h**4 + 0*h**2 - 2/45*h**x - 1/9*h**3 + 0 + 1/63*h**7 - 2*h. Determine c so that a(c) = 0.
-1, 0, 1
Let h(n) = 3*n - 2 + 1 + 3*n - 5*n - n**2. Let m(a) = -9*a**2 + 11*a - 6. Let s(x) = -4*h(x) + m(x). Factor s(g).
-(g - 1)*(5*g - 2)
Let b(n) = n**2 + n. Let x be b(-2). Factor 0 - 2/5*y - 2/5*y**x.
-2*y*(y + 1)/5
Let c(t) be the second derivative of t**4/9 - 16*t**3/9 + 32*t**2/3 - 5*t. Factor c(a).
4*(a - 4)**2/3
Let f(m) be the third derivative of -1/60*m**5 + 0*m - 1/3*m**3 + 1/8*m**4 + 0 - 3*m**2. Find d such that f(d) = 0.
1, 2
Let b(p) = -p + 17. Let h be b(12). Determine w so that 3/5*w**h + 0 + 3/5*w + 0*w**2 - 6/5*w**3 + 0*w**4 = 0.
-1, 0, 1
Let m(p) be the third derivative of p**6/120 - p**5/60 - p**4/24 + p**3/6 - 9*p**2. Find z such that m(z) = 0.
-1, 1
Factor -2*w + 0 + 5 - 2*w**2 - 5.
-2*w*(w + 1)
Let l be (-12 - 806/(-65))/(1/3). Factor l*q - 4/5 - 2/5*q**2.
-2*(q - 2)*(q - 1)/5
Let p = 2 - 4. Let t be 4/(-2) - (-2 + p). Suppose -5*n**2 + 6*n + 2*n - 3*n**t + 2*n**3 = 0. Calculate n.
0, 2
Let g(z) be the first derivative of -z**4/42 - z**3/7 - 2*z**2/7 + 2*z - 3. Let y(w) be the first derivative of g(w). Factor y(v).
-2*(v + 1)*(v + 2)/7
Let n be 233/11 - 16/88. Find m such that -5*m**4 + 23*m**3 - 3*m**3 + n*m**4 + 4*m**2 = 0.
-1, -1/4, 0
Let b(w) be the third derivative of w**7/441 - w**6/180 - 23*w**5/630 - 5*w**4/252 + 2*w**3/21 - 32*w**2. Suppose b(x) = 0. Calculate x.
-1, 2/5, 3
Factor 0 + x**3 - 7/5*x**2 + 3/5*x - 1/5*x**4.
-x*(x - 3)*(x - 1)**2/5
Let g(x) be the second derivative of -x**5/140 - x**4/21 + 11*x**3/42 - 3*x**2/7 - 16*x. Find d such that g(d) = 0.
-6, 1
Suppose -14 = -4*n + 2. Let a(o) = o - 4. Let c be a(n). Solve 2/3*r**4 + c*r**3 + 0*r + 0 - 2/3*r**2 = 0 for r.
-1, 0, 1
Let r(d) = d**2 - 3*d + 2. Let f be r(2). Let t(b) be the third derivative of f + 0*b - 1/3*b**3 + 1/40*b**5 - b**2 + 0*b**4 + 1/240*b**6. Factor t(y).
(y - 1)*(y + 2)**2/2
Let o(m) = 8*m**2. Let f be o(2). Let d be (1/(-2))/((-4)/f). Solve -8*l**3 - 20*l**4 + 5*l**2 - 2*l**2 - d*l**2 + 4*l**4 = 0.
-1/4, 0
Let m be (87/58)/((-3)/(-4)). Factor -9*z**3 + 6*z**4 + 6*z**m - 3/2*z**5 - 3/2*z + 0.
-3*z*(z - 1)**4/2
Let k(q) be the first derivative of q**6/21 + 6*q**5/35 - q**4/14 - 22*q**3/21 - 12*q**2/7 - 8*q/7 + 2. Factor k(g).
2*(g - 2)*(g + 1)**3*(g + 2)/7
Let 15*n**5 + 204*n**3 - 87*n**4 + 33*n**3 - 24 + 156*n - 294*n**2 - 3*n**5 = 0. Calculate n.
1/4, 1, 2
Factor 1/5*l + 0 - 1/10*l**4 - 1/2*l**2 + 2/5*l**3.
-l*(l - 2)*(l - 1)**2/10
Solve -u**4 + u**2 + 0 + 2/3*u**5 - 2/3*u**3 + 0*u = 0.
-1, 0, 1, 3/2
Let z(k) = -4*k**3 - 20*k**2 - 24*k - 8. Let h(y) = 4*y**3 + 21*y**2 + 25*y + 8. Let v(a) = 4*h(a) + 5*z(a). Solve v(p) = 0 for p.
-2, -1
Suppose q - 10 = 4*m, -5*q + 5*m + 2 + 18 = 0. Let c be 22/8 + (-18)/24. Let -q*p**5 + p**2 - 5*p**2 + 2*p**4 + 6*p**3 - c*p**2 - 4*p + 4*p**2 = 0. What is p?
-1, 0, 1, 2
Let l be (-38)/(-14) - 4/(-14). Factor 48*b**2 + 6 + 31*b + b**5 + 42*b**l + 3*b**5 - 4*b - b**5 + 18*b**4.
3*(b + 1)**4*(b + 2)
Let y(t) be the third derivative of t**5/300 - t**4/120 - 6*t**2. Factor y(p).
p*(p - 1)/5
Factor 11*c**3 + 12005 - 598*c + 1470*c**2 + 5*c**4 + 120*c**3 + 9*c**3 + 7458*c.
5*(c + 7)**4
Let y be (6 - (-416)/(-40)) + 5. What is r in -y*r - 3/5*r**3 + 0 - 6/5*r**2 = 0?
-1, 0
Let r(b) be the third derivative of b**8/112 - 17*b**7/42 + 791*b**6/180 + 1583*b**5/90 + 515*b**4/24 + 25*b**3/2 + 2*b**2 + 3. Let r(a) = 0. Calculate a.
-1, -1/3, 15
Let w(m) be the third derivative of -35*m**8/48 - 25*m**7/6 - 235*m**6/24 - 145*m**5/12 - 25*m**4/3 - 10*m**3/3 + 18*m**2. Suppose w(o) = 0. Calculate o.
-1, -2/7
Determine t so that 0 + 4/7*t**2 - 1/7*t**3 - 3/7*t = 0.
0, 1, 3
Let s(y) = -9*y**3 + 15*y**2 + 28*y + 4. Let b(a) = 9*a**3 - 15*a**2 - 27*a - 3. Let d(p) = -5*b(p) - 6*s(p). Factor d(j).
3*(j - 3)*(j + 1)*(3*j + 1)
Let k(g) = -5*g. Let q be k(-1). Suppose 2*z**5 - q*z**3 + 4*z**3 - z**3 = 0. Calculate z.
-1, 0, 1
Let n be (-5 - -3)/(1 - 3). Let f be n/4 + 1/4. Factor -7/4*y**2 - f - 9/4*y.
-(y + 1)*(7*y + 2)/4
Let b be (1 - -7)*8/16. Let l be (-15 + 3)/b - -6. Solve 8/5*k**2 - 2*k + 4*k**l - 4/5 - 4/5*k**4 - 2*k**5 = 0.
-1, -2/5, 1
Let l(a) be the first derivative of -2*a**3/33 - 7*a**2/11 - 12*a/11 + 18. Find h, given that l(h) = 0.
-6, -1
Let u(f) be the second derivative of -f**5/60 + f**4/24 + f**3/3 + 4*f**2 + 7*f. Let j(h) be the first derivative of u(h). Factor j(k).
-(k - 2)*(k + 1)
Suppose -w - 2*w + 9 = 0. Suppose 0 = -0*b + 3*b - w. Solve b + 2*o**2 - 3*o**2 + 0*o**2 = 0.
-1, 1
Let v(j) be the second derivative of 3*j**5/20 - j**4/12 - 7*j. Determine s, given that v(s) = 0.
0, 1/3
Let b = 4783/9574 + 2/4787. Factor 16*m**4 - 23/4*m - 21*m**2 - 20*m**3 - b.
(m - 2)*(4*m + 1)**3/4
Let p be (-15)/(-63) - (-6)/18. Factor p*q - 2/7 - 2/7*q**2.
-2*(q - 1)**2/7
Let w(m) = m**5 + m**3 - m**2 - m + 1. Let a(j) = 8*j**5 + 25*j**4 + 33*j**3 - 13*j**2 - 38*j - 12. Let l(r) = a(r) - 3*w(r). Determine o so that l(o) = 0.
-3, -1, 1
Let f be 6/22*(-429)/(-195). Factor -f*n**3 + 3/5*n - 3/5 + 3/5*n**2.
-3*(n - 1)**2*(n + 1)/5
Let w(r) be the second derivative of 5*r**7/168 + r**6/6 + r**5/4 - 5*r**4/24 - 25*r**3/24 - 5*r**2/4 + 14*r. Solve w(b) = 0.
-2, -1, 1
Let u(q) be the third derivative of -q**8/2184 + q**7/1365 + q**6/780 - q**5/390 + 3*q**2. Solve u(j) = 0 for j.
-1, 0, 1
Let q(b) = 5*b**4 + b**3 - 5*b**2 - 5*b + 4. Let s(v) = -11*v**4 - 2*v**3 + 11*v**2 + 11*v - 9. Let m(n) = 9*q(n) + 4*s(n). Factor m(l).
l*(l - 1)*(l + 1)**2
Suppose 0 = 5*r - 2*r - 6. Let g 