j = 7/33 - -5/11. Suppose q + 0*q = -z, -q + 15 = -4*z. Let 0 + 2/3*g**4 + 2/3*g**q - j*g**2 - 2/3*g = 0. Calculate g.
-1, 0, 1
Let l(v) be the third derivative of -v**7/84 - 13*v**6/48 - 11*v**5/8 - 155*v**4/48 - 25*v**3/6 - 3*v**2 - 5*v. Solve l(b) = 0.
-10, -1
Let s(g) be the third derivative of g**8/35 + 3*g**7/35 + 3*g**6/40 + g**5/40 - 5*g**3/6 + 5*g**2. Let k(o) be the first derivative of s(o). Factor k(c).
3*c*(c + 1)*(4*c + 1)**2
Let n(s) be the second derivative of s**6/10 + 3*s**5/5 + s**4 + 7*s. Factor n(c).
3*c**2*(c + 2)**2
Let u = -5/8 + 47/24. Find j, given that -15*j**2 - 8*j - 25/3*j**3 - u = 0.
-1, -2/5
Suppose 0 = 3*b - 6*b + 3. Suppose -5 = -2*z + b. Factor 3*u**2 + 4*u**3 - 4*u**2 - 5*u**z.
-u**2*(u + 1)
Let s(o) be the first derivative of -2 + 0*o**2 - 3*o + 1/15*o**4 + 1/15*o**3 + 1/50*o**5. Let q(v) be the first derivative of s(v). Factor q(b).
2*b*(b + 1)**2/5
Let w(z) = 19*z**3 + 19*z**2 + 13*z + 13. Let d(o) = -9*o**3 - 9*o**2 - 6*o - 6. Let g(n) = -13*d(n) - 6*w(n). Factor g(f).
3*f**2*(f + 1)
Let a = 3 - 1. Let c(b) be the first derivative of 0*b - 1 - 2*b**a + 2/3*b**3. Find f, given that c(f) = 0.
0, 2
Let b be (-328)/(-99) + -2 - 10/45. Factor 8/11*p**4 - b*p**3 + 0 - 2/11*p - 2/11*p**5 + 8/11*p**2.
-2*p*(p - 1)**4/11
Let z(o) = -o - 13. Let i be z(-15). Factor -2 - 4*j**3 + 23*j - 9*j + 2*j**5 - 2*j**4 - 12*j + 4*j**2 + 0*j**i.
2*(j - 1)**3*(j + 1)**2
Suppose 3*b - 4*j + 26 = 0, 28 = -b + 4*j + 6. Let h = 6 + b. Determine g, given that -1 - 5*g**4 + 2 + h*g**4 + 2*g - 2*g**3 = 0.
-1, 1
Let k be ((-8)/14)/((-14)/49). Suppose 6 = 3*w - 0. Factor -w*n + 2 + 1/2*n**k.
(n - 2)**2/2
Let p be (-46)/(-253) + 4/(-22). Let n(a) be the first derivative of 0*a - 1/9*a**6 + 4/15*a**5 + p*a**3 + 2 + 0*a**4 + 0*a**2. Factor n(j).
-2*j**4*(j - 2)/3
Let v(m) be the third derivative of 5*m**8/1008 - m**7/126 - m**6/36 + m**5/18 + 5*m**4/72 - 5*m**3/18 + 5*m**2. Suppose v(c) = 0. Calculate c.
-1, 1
Let g be 12/24 - 2/12. Let -g*a**2 - 1/3 + 2/3*a = 0. Calculate a.
1
Let y = -4 + 5. Let t = -18 - -26. Factor -t*z + y + 81/4*z**3 + 45/4*z**2.
(z + 1)*(9*z - 2)**2/4
Suppose -3*t + 12 = t. Suppose -3*i + t + 3 = 0. Solve 0 + 1/4*h**3 + 0*h - 1/4*h**i = 0 for h.
0, 1
Let t(k) be the second derivative of -k**5/100 - k**4/20 - k**3/10 - k**2/10 + 6*k. Find l such that t(l) = 0.
-1
Let k(m) be the first derivative of -3*m**4/16 + m**3/4 + 3*m**2/4 + 5. Factor k(j).
-3*j*(j - 2)*(j + 1)/4
Let c(p) = 3*p**2 + p + 2. Let u be c(-1). Let w(m) be the second derivative of 1/10*m**5 - 2*m + 8/3*m**3 + 4*m**2 + 0 + 5/6*m**u. Suppose w(f) = 0. What is f?
-2, -1
Let v(l) be the third derivative of -1/144*l**4 + 5*l**2 + 1/18*l**3 + 0 - 1/360*l**5 + 0*l. Factor v(p).
-(p - 1)*(p + 2)/6
Let 72*a + 6*a**2 + 14 + 21 - 32*a - a**2 = 0. Calculate a.
-7, -1
Let s = -2 + 5. Let u be 12*(-3 - 40/(-12)). Determine x, given that -2/3*x**u + 8/3*x - 2/3 + 8/3*x**5 - 16/3*x**s + 4/3*x**2 = 0.
-1, 1/4, 1
Let k(g) = g**3 - 8*g**2 + 11*g + 6. Let x be k(6). Let i(o) be the second derivative of -1/4*o**4 + 1/2*o**3 - 4*o + 0 + x*o**2. Solve i(v) = 0 for v.
0, 1
Let p = -1/13 + 16/39. Let q(x) be the first derivative of 0*x**2 - 1/2*x**4 + 0*x + 1/5*x**5 + 1 + p*x**3. Determine r so that q(r) = 0.
0, 1
Let g be (1 + 12/(-10))*135/(-243). Let a(q) be the first derivative of -1 + 0*q - 1/6*q**2 + 1/6*q**4 + g*q**3. Suppose a(p) = 0. What is p?
-1, 0, 1/2
Let a(m) = -m**3 - 9*m**2 - 9*m - 6. Let i be a(-8). Factor 4*k**3 - 23*k + 25*k + 4*k**2 + 5*k**i.
k*(k + 2)*(4*k + 1)
Let w(b) = 5*b**2 - 11*b + 4. Let h(u) = 14*u**2 - 34*u + 13. Let y = -4 + 6. Let k(z) = y*h(z) - 7*w(z). Factor k(g).
-(g - 1)*(7*g - 2)
Suppose m - 12 = -2*m. Factor 9*x - 2*x**4 - x - 11*x**2 - 2 - x**2 + m*x**3 + 4*x**3.
-2*(x - 1)**4
Let t(a) = 5*a**3 - 3*a**2 - 7*a + 5. Let m(j) = -60*j**3 + 35*j**2 + 85*j - 60. Let l(z) = -2*m(z) - 25*t(z). Factor l(k).
-5*(k - 1)**2*(k + 1)
Let d(q) be the second derivative of -5*q**4/12 + 10*q**3/3 - 15*q**2/2 + 4*q. What is l in d(l) = 0?
1, 3
Factor j**3 - 4*j**2 - 2*j**2 - 4*j**2 + 11*j**2.
j**2*(j + 1)
Let m be 21/54*(32/(-7))/(-8). Suppose m*r**2 - 2/9*r**3 + 0 + 4/9*r = 0. Calculate r.
-1, 0, 2
Suppose -46 = 4*m - 118. Let v be 32/m - 10/(-45). Find a, given that -4 + 2*a**2 - 8*a - a**v + 4*a**2 = 0.
-2/5, 2
Solve -45/2*a**2 + 15/2*a**3 + 0 + 5/2*a**4 + 25/2*a = 0 for a.
-5, 0, 1
Let m = -2/105 - -32/105. Let m*v - 6/7*v**3 + 4/7*v**2 + 0 = 0. What is v?
-1/3, 0, 1
Let j = 2 - 0. Suppose -2 + 2 = 2*h. Determine f so that -1/2*f + 1/2*f**3 + h + 0*f**j = 0.
-1, 0, 1
Let t(i) be the second derivative of 0 - 1/20*i**4 + 1/150*i**6 + 1/100*i**5 - 1/30*i**3 + i + 1/5*i**2. Find c such that t(c) = 0.
-2, -1, 1
Let f(o) = -2*o**5 - 2*o**4 + 10*o**3 - 7*o**2 + 5*o - 4. Let s(t) = -3*t**5 - t**4 + 10*t**3 - 6*t**2 + 5*t - 5. Let x(v) = 4*f(v) - 3*s(v). Factor x(l).
(l - 1)**5
Suppose -14 = 3*x - 5*r, -5*x = -0*r + 4*r - 26. Let -c**2 + c**2 - c**3 + 3*c**x - 3*c**4 + c = 0. What is c?
-1, -1/3, 0, 1
Let y(d) = -94*d**4 - 14*d**3 + 206*d**2 + 180*d + 26. Let p(k) = -19*k**4 - 3*k**3 + 41*k**2 + 36*k + 5. Let a(m) = 14*p(m) - 3*y(m). Factor a(z).
4*(z - 2)*(z + 1)*(2*z + 1)**2
Let d(m) be the first derivative of m**5/30 - m**4/24 - m**3/9 - 1. Factor d(c).
c**2*(c - 2)*(c + 1)/6
Let q(r) = -r - 11. Let j be q(-13). Suppose -6 - 7*y + 19*y - 4*y - 2*y**j = 0. What is y?
1, 3
Let m(x) be the second derivative of -8/3*x**3 - 3*x + 1/2*x**4 + 4*x**2 + 1/5*x**5 - 1/15*x**6 + 0. Determine i, given that m(i) = 0.
-2, 1, 2
Let w(h) be the first derivative of 4*h**5/5 + 3*h**4 + 4*h**3 + 2*h**2 + 33. What is a in w(a) = 0?
-1, 0
Let g be (-4)/(-16) + (-14)/(-8). Let z(w) = w**2 - 5*w - 2. Let r be z(6). Factor -u**3 + 2*u**4 + g*u**5 + u**3 + 0*u**r.
2*u**4*(u + 1)
Let l(q) be the first derivative of 4 - 9/2*q**2 + 6*q + q**3. Find x such that l(x) = 0.
1, 2
Let x(u) be the third derivative of 0*u - 2/105*u**5 - 1/84*u**4 - 4/735*u**7 + 0 + 0*u**3 - 1/1176*u**8 - 2*u**2 - 1/70*u**6. Factor x(f).
-2*f*(f + 1)**4/7
Suppose 2*k - 7*k = -35. Suppose -3*n + k = 1. Factor -4*b**3 - n*b**4 - b - 2*b**2 + b.
-2*b**2*(b + 1)**2
Let z(h) = h**3 + 4*h**2 + 2*h - 1. Let c be z(-3). Let r be (4/9)/(c/6). Factor -r*o + 0 - 3*o**5 - 2*o**4 + 4/3*o**2 + 11/3*o**3.
-o*(o + 1)**2*(3*o - 2)**2/3
Let a(b) = 0*b**4 - 2*b**4 - b**3 + b**4. Let d be 292/20 + (-8)/(-20). Let n(l) = 12*l**4 + 24*l**3 - 6*l**2. Let y(v) = d*a(v) + n(v). Factor y(f).
-3*f**2*(f - 2)*(f - 1)
Let y(h) be the first derivative of -h**4/2 + 8*h**3 - 48*h**2 + 128*h - 4. Factor y(z).
-2*(z - 4)**3
Let i(l) = -l**2 + 12*l + 6. Let c(n) = -n**2 + 8*n + 4. Let r = 4 + -11. Let u(q) = r*c(q) + 5*i(q). Factor u(d).
2*(d + 1)**2
Let j(k) be the second derivative of 5/6*k**4 + 4*k**2 + 8/3*k**3 + 1/10*k**5 - 4*k + 0. Let j(y) = 0. Calculate y.
-2, -1
Find t, given that 1/4*t**3 + 0 + 1/4*t - 1/2*t**2 = 0.
0, 1
Let y(s) = -8*s**2 + 2*s + 6. Let i(k) = -9*k**2 + 3*k + 6. Let q(n) = 5*i(n) - 6*y(n). Factor q(o).
3*(o - 1)*(o + 2)
Let u = 7 + -4. Determine x so that u*x + 3*x**3 - 2 - x**2 + 2 + 7*x**2 = 0.
-1, 0
Let n(z) be the third derivative of 2*z**7/105 - z**6/20 - z**5/30 + z**4/4 - z**3/3 - 7*z**2. Find b such that n(b) = 0.
-1, 1/2, 1
Let q(t) be the first derivative of -3*t**5/10 - 3*t**4/4 + 3*t**2/2 + 3*t/2 - 4. Factor q(g).
-3*(g - 1)*(g + 1)**3/2
Suppose -8 = -0*d - 4*d. Let 7*u**2 + 3 + 17*u**d - 36*u + 15*u + 48*u**3 = 0. What is u?
-1, 1/4
Find o, given that 4*o**5 + 4*o**5 - 2*o**3 - 3*o**5 - 3*o**5 = 0.
-1, 0, 1
Let n(h) be the second derivative of -h**7/210 + h**6/120 + h**5/60 - h**4/24 - 4*h**2 + 7*h. Let g(c) be the first derivative of n(c). Let g(a) = 0. What is a?
-1, 0, 1
Let g be -1 + 6 + 3/21*7. Let j(l) be the first derivative of -6/25*l**5 + 2 + 2/5*l**3 + 1/10*l**g + 0*l**4 - 3/10*l**2 + 0*l. Find m, given that j(m) = 0.
-1, 0, 1
Let c(g) be the third derivative of -g**8/560 - g**7/50 - 7*g**6/100 - g**5/50 + 3*g**4/8 + 9*g**3/10 - 5*g**2. Suppose c(j) = 0. Calculate j.
-3, -1, 1
Let d(v) be the first derivative of v**4/12 + v**3/9 - 1. Factor d(s).
s**2*(s + 1)/3
Let k = -14/3 + 110/21. Determine x so that -k + 18/7*x - 8/7*x**2 = 0.
1/4, 2
Let d be 28/(-7) + 12/2. Let o(t) be the first deriv