culate c.
-1, 0, 1
Let b be (20/16)/(1/4). Let s(z) be the second derivative of -7/20*z**b + 0 + 0*z**2 + 3*z + 0*z**3 + 1/6*z**4. Factor s(t).
-t**2*(7*t - 2)
Solve -4/3*p**3 + 10/3 + 31/3*p - 37/3*p**2 = 0 for p.
-10, -1/4, 1
Let t(x) be the first derivative of -2*x**6/21 + 16*x**5/35 - 5*x**4/7 + 8*x**3/21 - 5. Factor t(f).
-4*f**2*(f - 2)*(f - 1)**2/7
Suppose -28*r = -2 - 54. What is p in 0 - p**3 - 1/3*p + p**r + 1/3*p**4 = 0?
0, 1
Let g(f) = -f**3 + 2*f**2 + f + 2. Suppose 6*v = v - 10. Let l(q) = -3*q**3 + 6*q**2 + 4*q + 7. Let i(p) = v*l(p) + 7*g(p). Let i(n) = 0. Calculate n.
0, 1
Factor 5/3 - 19/3*f - 4/3*f**2.
-(f + 5)*(4*f - 1)/3
What is p in -44 - 40 - 5*p**4 + 84 = 0?
0
Let r(h) be the first derivative of -h**4/24 - 7*h**3/18 - 5*h**2/6 - 38. Factor r(i).
-i*(i + 2)*(i + 5)/6
Suppose 4*j = -2*x + 14, -2*j - 6 = j - 4*x. Suppose 4 - 3 + 0*u - j*u + u**2 = 0. What is u?
1
Let o(a) be the third derivative of 0 + 0*a**3 + 1/840*a**8 + 0*a**4 + 1/300*a**6 + 0*a**5 + 6*a**2 + 2/525*a**7 + 0*a. Let o(h) = 0. What is h?
-1, 0
Suppose 2*m - 9 = p, 3*p - 1 = -4*m - 8. Let u(c) be the second derivative of 2/3*c**3 + 0 + c + 0*c**m - 1/6*c**4. Determine h, given that u(h) = 0.
0, 2
Let u be (27/(-9) + 3)/(3 + -5). Factor u - 2/5*c**4 + 0*c**2 + 1/5*c**5 + 0*c + 1/5*c**3.
c**3*(c - 1)**2/5
Let y(t) be the first derivative of -t**9/15120 + t**8/2800 - t**7/1400 + t**6/1800 + 2*t**3 + 6. Let h(i) be the third derivative of y(i). Factor h(l).
-l**2*(l - 1)**3/5
Factor 18/5*b - 4/5 - 14/5*b**2.
-2*(b - 1)*(7*b - 2)/5
Factor 3/4*h - 7/4*h**2 - 1/4*h**4 + 5/4*h**3 + 0.
-h*(h - 3)*(h - 1)**2/4
Let f = 13/6 - 5/3. Let c = -2 - -2. Factor 0*q + c*q**3 + 0 + f*q**4 - 1/2*q**2.
q**2*(q - 1)*(q + 1)/2
Let f(l) = l**5 + l**4 + l**3 + l + 1. Let y(x) = 35*x**5 + 25*x**4 + 20*x**3 + 30*x + 30. Let n(d) = -30*f(d) + y(d). Factor n(j).
5*j**3*(j - 2)*(j + 1)
Let p(h) be the third derivative of -h**11/498960 - h**10/113400 - h**9/90720 - h**5/20 + h**2. Let u(c) be the third derivative of p(c). Factor u(l).
-2*l**3*(l + 1)**2/3
Let v(b) = 4*b - 3 + 2*b**2 - 3*b**2 + 3*b. Let g be v(6). Find h, given that 0*h**3 + 0*h**2 + h**2 - h**g = 0.
0, 1
Let 0 - 2*t**2 - 1/2*t**4 + 0*t + 2*t**3 = 0. What is t?
0, 2
Let r(k) = 5*k**2 + 16*k + 11. Let h(b) be the first derivative of b**3/3 + 3*b**2/2 + 2*b + 4. Let d(t) = -33*h(t) + 6*r(t). Determine c so that d(c) = 0.
-1, 0
Let v(f) = -3*f**4 + 12*f**3 + 9*f**2 + 9. Let w(q) = q**3 + q**2 + 1. Let k(h) = v(h) - 9*w(h). Factor k(s).
-3*s**3*(s - 1)
Suppose -2*j = 3*j - 20. Let h(g) be the second derivative of 1/30*g**5 + 0*g**2 + 0*g**j + 0 - 1/9*g**3 - 2*g. Factor h(p).
2*p*(p - 1)*(p + 1)/3
Suppose -9*n + 6 = -6*n. Let x(k) be the first derivative of n - 2/3*k**3 + 0*k + k**2. Factor x(y).
-2*y*(y - 1)
Suppose -7*s = -5 - 16. Let i be 35/26 + 20/130. What is z in s + 15/2*z + i*z**3 + 6*z**2 = 0?
-2, -1
Determine b, given that 4*b - 4*b**2 + 0 + 0 + 12*b**4 - 8*b**4 - 4*b**3 = 0.
-1, 0, 1
Let b be (-4)/5*(-20)/4. Factor 0*f**2 - f**b + f**2 - f**2 - f**5.
-f**4*(f + 1)
Let c(u) be the third derivative of u**8/1512 + u**7/189 + u**6/90 - 2*u**5/135 - 2*u**4/27 + 2*u**2. Determine w so that c(w) = 0.
-2, 0, 1
Suppose 15 = -o + 5*t, -3 = -3*o - t + 16. Factor -1/3*q**o + 25/3*q**2 - 16/3*q + 4/3 + 7/3*q**4 - 19/3*q**3.
-(q - 2)**2*(q - 1)**3/3
Let p(s) = -8*s**2 + 20*s + 10. Let q(z) = -z**2 - z + 1. Let f(l) = 2*p(l) - 20*q(l). Find a such that f(a) = 0.
-15, 0
Let r(u) be the second derivative of -1/48*u**4 + 0*u**2 + 0*u**3 + 0 - u + 1/40*u**5 - 1/120*u**6. Factor r(s).
-s**2*(s - 1)**2/4
Suppose 0*k**2 + 19*k - 2*k**2 - 7*k - k**2 = 0. What is k?
0, 4
Let -1/4*u**2 - 1 + 5/4*u = 0. What is u?
1, 4
Suppose 4*c - 6 = -2*l, -5*c - 4*l - 3 = -5*l. Let k be c + (-1)/(-1) + 2. Find z, given that 2*z**5 - 7*z**2 + 9*z**k + 0*z**5 - z - z**5 + 3*z - 5*z**4 = 0.
0, 1, 2
Let d(b) be the second derivative of -b**5/40 + b**4/8 - b**3/4 + b**2/4 - 15*b. Factor d(x).
-(x - 1)**3/2
Suppose 0 = 2*a - 29 - 67. Factor t**2 + 0*t - 24*t + 2*t**2 + a.
3*(t - 4)**2
Suppose -8/3*t + 0 - 4*t**2 + 0*t**3 + 4/3*t**4 = 0. Calculate t.
-1, 0, 2
Solve 2*c**3 - 4 + 3*c - 2*c + 8*c - c**3 - 6*c**2 = 0 for c.
1, 4
Let g(z) = 2*z**3 + 7*z**2 - 14*z + 8. Let x be g(-5). Factor -10/3*a + 2 + 2/3*a**2 + 2/3*a**x.
2*(a - 1)**2*(a + 3)/3
Let a be 0 + 10/(-14) - (5 + -6). Let j(h) = -h**3 + h**2 + h - 1. Let d be j(1). Factor d - 2/7*b**3 + 0*b**2 + a*b.
-2*b*(b - 1)*(b + 1)/7
Suppose -47*u = -56*u. Let 0 + u*j - 1/3*j**3 + 1/6*j**4 + 1/6*j**2 = 0. What is j?
0, 1
Let u = -105 - -111. Let h(n) be the third derivative of 4/9*n**3 + 0 + 1/36*n**u + 4/9*n**4 + 17/90*n**5 + 0*n + 3*n**2. Factor h(s).
2*(s + 1)*(s + 2)*(5*s + 2)/3
Let t = 1/27 - -25/54. Let 1/2*s + 0 - t*s**2 = 0. What is s?
0, 1
Let m(b) = -14*b**3 - 21*b**2 + 27*b + 11. Let z(n) = 14*n**3 + 20*n**2 - 26*n - 10. Let j(t) = 2*m(t) + 3*z(t). Factor j(v).
2*(v - 1)*(v + 2)*(7*v + 2)
Factor 2*q + 5*q + 2*q**2 + 4 - 3*q + 2*q.
2*(q + 1)*(q + 2)
Let r = 66 + -66. Factor r + 4/7*m - 2/7*m**2.
-2*m*(m - 2)/7
Factor 0*z**4 + 2*z**4 - z**4 + z**3.
z**3*(z + 1)
Let h be (-90)/(-40) - 6/(-8). Suppose 5*t - 4 = h*v, -2*t - 12 = -7*t - v. Factor -2/9*i**t + 2/9 + 0*i.
-2*(i - 1)*(i + 1)/9
Factor 15*g**2 - 15*g**3 - 26*g + 21*g + 0*g**4 + 5*g**4.
5*g*(g - 1)**3
Suppose 0 - 2/3*o**3 - 2/3*o + 4/3*o**2 = 0. What is o?
0, 1
Let t = -1/13 + 16/39. Factor 0*a**3 - 1/3*a**2 + 0 + 0*a + t*a**4.
a**2*(a - 1)*(a + 1)/3
Let g(h) be the third derivative of 0 + 0*h + 1/120*h**5 + 0*h**4 + 0*h**6 - 1/24*h**3 + 3*h**2 - 1/840*h**7. Determine u so that g(u) = 0.
-1, 1
Let j(z) be the first derivative of -2*z**3/33 - 2*z**2/11 + 18. Determine d so that j(d) = 0.
-2, 0
Factor -21*m - 67*m**2 - 10 - 8*m**2 - 64*m.
-5*(m + 1)*(15*m + 2)
Let p(v) be the third derivative of v**8/336 + v**7/210 - v**6/120 - v**5/60 - 7*v**2. Let p(z) = 0. What is z?
-1, 0, 1
Let m = -1153/2 - -577. Suppose 9/4*w - w**2 - m = 0. What is w?
1/4, 2
Let j be 61/45 + 72/(-54). Let k(m) be the third derivative of -1/18*m**4 - 1/360*m**6 - 3*m**2 - j*m**5 + 0*m**3 + 0*m + 0. Determine r so that k(r) = 0.
-2, 0
Find q such that 23*q**4 - 2*q**2 - 21*q**4 + 2*q**2 + 4*q**3 = 0.
-2, 0
Let c(p) be the second derivative of p**4/30 + 4*p**3/15 + 3*p**2/5 - 15*p. Solve c(b) = 0.
-3, -1
Let q(u) be the second derivative of 2*u**5/65 - u**4/6 + 11*u**3/39 - 2*u**2/13 + 16*u. Factor q(s).
2*(s - 2)*(s - 1)*(4*s - 1)/13
Let y(n) be the first derivative of n**5/100 + n**4/60 - n**3/30 - n**2/10 + 3*n - 1. Let w(q) be the first derivative of y(q). Let w(t) = 0. What is t?
-1, 1
Let o(g) = g**2 + g + 3 - 5 + 4. Let t be o(0). Factor 0*n**3 - n**4 - 5*n + 3 + n**3 + 3*n**t + 0*n - 1.
-(n - 1)**3*(n + 2)
Let a(y) be the first derivative of -3*y**4/4 + 2*y**3 + 6*y**2 - 24*y - 11. Suppose a(p) = 0. Calculate p.
-2, 2
Let d(j) be the first derivative of -1/15*j**3 + 0*j - 9 - 3/10*j**2. Find y such that d(y) = 0.
-3, 0
Let z = -42 + 44. Let t(r) be the second derivative of -1/20*r**5 + 1/12*r**4 - 2*r + 1/6*r**3 - 1/30*r**6 + 0 + 0*r**z. Factor t(n).
-n*(n - 1)*(n + 1)**2
Let m = 4 + 2. Suppose -18*z**5 - 10*z - 1 - 1 + 28*z**3 - m*z**4 + 4 + 4*z**2 = 0. Calculate z.
-1, 1/3, 1
Let y(v) = -2*v**3 + 2*v + 2. Let t(z) = -z**3 + z**2 + z + 1. Let c(s) = 5*t(s) - 5*y(s). Factor c(f).
5*(f - 1)*(f + 1)**2
Let v = 3 + 1. Let t = -7 + 9. Determine w, given that w**t + 2 + v*w**2 - 3*w**2 + 6*w + 2 = 0.
-2, -1
Let p(f) be the first derivative of 3 - 2/5*f + 1/2*f**4 - 4/15*f**6 - 8/25*f**5 + 2/3*f**3 - 1/5*f**2. What is m in p(m) = 0?
-1, -1/2, 1/2, 1
Let f(w) = w**3 + 3*w**2 + 3*w + 4. Let x be f(-2). Factor 0*l + 1/2 - 1/2*l**x.
-(l - 1)*(l + 1)/2
Factor 0 - 1/4*d - 5/4*d**3 + d**2 + 1/2*d**4.
d*(d - 1)**2*(2*d - 1)/4
Let g = 12/5 - 4/5. What is q in -g - 56/5*q - 98/5*q**2 = 0?
-2/7
Suppose 18 = 5*t - t - 5*x, -3*t - 4*x + 29 = 0. Let r(i) = i**3 - 6*i**2 - 8*i + 10. Let q be r(t). Let 0*s - 2*s**q + s + s = 0. Calculate s.
-1, 0, 1
Let o(a) be the second derivative of a**7/21 + a**6/15 - a**5/5 - 13*a. Factor o(h).
2*h**3*(h - 1)*(h + 2)
Let d(h) = -h**3 - h. Let a(o) = o**4 - 5*o**3 - 2*o**2 - 5*o + 1. Let r(p) = -a(p) + 5*d(p). Solve r(u) = 0 for u.
-1, 1
Let j(f) = -