ate h.
-1, 0, 1, 2
Let m = -3/22 - -59/110. Let a = -2 - -2. Factor 0*z - 4/5*z**4 + a + 0*z**2 - m*z**5 - 2/5*z**3.
-2*z**3*(z + 1)**2/5
Let j(g) be the third derivative of g**8/1680 - g**7/360 - g**6/360 - g**4/3 + 4*g**2. Let w(q) be the second derivative of j(q). Determine d so that w(d) = 0.
-1/4, 0, 2
Let 8*m**2 + m**2 + 7*m**2 - 26*m + 4 + 6*m**2 = 0. Calculate m.
2/11, 1
Let h(j) = -1. Let t(s) = -s**2 - 9*s + 7. Let m(f) = -5*h(f) + t(f). Let u be m(-10). Factor 0*p**u - 1/2 - p + 1/2*p**4 + p**3.
(p - 1)*(p + 1)**3/2
Let y(p) be the first derivative of -p**6/39 - 2*p**5/65 + p**4/13 + 4*p**3/39 - p**2/13 - 2*p/13 - 3. Factor y(k).
-2*(k - 1)**2*(k + 1)**3/13
Factor 4*t + 26*t + 21*t - 26*t + 35*t**2 + 15*t**3 + 5.
5*(t + 1)**2*(3*t + 1)
Let f(a) = -2*a**2 - 8*a + 4. Let o(q) be the third derivative of -q**5/12 - 2*q**4/3 + 7*q**3/6 - 2*q**2. Let d(l) = -9*f(l) + 4*o(l). Factor d(s).
-2*(s - 2)**2
Solve 8/7*l - 8/7 - 2/7*l**2 = 0 for l.
2
Let v be -8*((-12)/8)/3. Let w(n) be the third derivative of 1/36*n**v + 0*n + 0 + 0*n**3 - 1/180*n**5 - n**2 - 1/360*n**6. Factor w(i).
-i*(i - 1)*(i + 2)/3
Find h such that -2/11*h**2 + 0 - 8/11*h = 0.
-4, 0
Find i such that 0 - 12/7*i - 3/7*i**2 = 0.
-4, 0
Let w be (-15)/(-3) - 3 - 5. Let l be (-6)/15*15/w. Factor -1/2 - 1/2*p**l + p.
-(p - 1)**2/2
Suppose 0 = -c + 4 - 2. Suppose c*y**2 - y**5 + y + 2*y**5 - 2*y**4 - 2*y = 0. Calculate y.
-1, 0, 1
Suppose 4*w**2 + 20*w - 20*w = 0. Calculate w.
0
Find g, given that -11*g - 12 + 0*g**2 + 10*g**2 - 4*g - 11*g = 0.
-2/5, 3
Let y be 7/(-4) + 17 + -15. Let g(c) be the first derivative of -c + y*c**2 + 1/6*c**3 - 1. Solve g(b) = 0.
-2, 1
Let d(m) be the first derivative of -m**6/135 - m**5/45 - m**4/54 - 4*m - 5. Let v(o) be the first derivative of d(o). Determine k, given that v(k) = 0.
-1, 0
Let f(b) be the first derivative of -b**5/30 - 5*b**4/36 - 2*b**3/9 - b**2 - 2. Let t(q) be the second derivative of f(q). Determine d so that t(d) = 0.
-1, -2/3
Factor -2/21*b - 2/21*b**2 + 0.
-2*b*(b + 1)/21
Let a(h) = -1. Let p(z) = -z - 7. Let l(f) = 2*a(f) - p(f). Let o be l(-5). Solve -1/4*s + o + 1/2*s**2 - 1/4*s**3 = 0.
0, 1
Suppose -3*o + 2 + 0 = -2*w, -5*w + 18 = 4*o. Solve a**o - a**4 + 0*a**3 + 0 - 1/2*a**5 + 1/2*a = 0 for a.
-1, 0, 1
Let a(n) = -n**2 - n - 1. Let l(x) = 3*x**2 + 2*x + 1. Let q(b) = -2*a(b) - l(b). Suppose q(w) = 0. What is w?
-1, 1
Let o be 4/6*-1 - (-2)/3. Let k(f) be the first derivative of 1/2*f**4 + o*f + 0*f**2 + 0*f**3 - 2. Factor k(s).
2*s**3
Let s(p) = -5*p**2 + 3*p + 4. Let q(l) = -l - 2. Let t be q(0). Let b(a) = 5*a**2 - 3*a - 5. Let v(m) = t*b(m) - 3*s(m). Determine w so that v(w) = 0.
-2/5, 1
Let f = -15 - -21. Suppose f*a + 1 = 7. Determine b, given that 1/2*b + 1/2*b**2 - a = 0.
-2, 1
Suppose -12 = -6*n + 5*n. Suppose 0*l - 4*l = -n. Solve 2/5*t**4 + 0*t**l + 0*t + 0 - 2/5*t**2 = 0.
-1, 0, 1
Let y(b) = 15*b - 28. Let p be y(2). Find x, given that -2/3 + 4/3*x**5 + 4/3*x**p - 2/3*x**4 + 4/3*x - 8/3*x**3 = 0.
-1, 1/2, 1
Factor -4*p**3 + 0*p**5 + 6*p - 2*p**5 + 30 - 32 - 4*p**2 + 6*p**4.
-2*(p - 1)**4*(p + 1)
Let z be ((-10)/20)/((-11)/4). Suppose 2/11*b + z*b**2 - 4/11 = 0. What is b?
-2, 1
Let x(q) = q**2 + 6*q + 2. Let m be x(-2). Let i be ((-1)/m)/(7/14). Factor 1/3*o**2 - i*o**3 - 1/3*o**4 + 0 + 0*o + 1/3*o**5.
o**2*(o - 1)**2*(o + 1)/3
Suppose -6/11*q - 2/11*q**2 + 8/11 = 0. Calculate q.
-4, 1
Let n(y) be the third derivative of 1/168*y**8 + 0 + 0*y**3 + 0*y**4 + 1/30*y**5 - 1/105*y**7 - 1/60*y**6 - 2*y**2 + 0*y. Determine b so that n(b) = 0.
-1, 0, 1
Let h = -29 - -31. Factor -1/3 + 1/3*q**h + 0*q.
(q - 1)*(q + 1)/3
Let q(c) = -4*c**2 + 9*c + 13. Let f(u) be the first derivative of -u**3/3 + u**2 + 3*u - 1. Let a(h) = 26*f(h) - 6*q(h). Factor a(l).
-2*l*(l + 1)
Let c = -7 + 11. Let o be (-3)/(-2 - (-2)/c). Factor -y**3 + y**o + 7*y + y**5 - y**4 - 7*y.
y**2*(y - 1)**2*(y + 1)
Let f(c) be the first derivative of -3*c**5/5 + 3*c**3 + 3*c**2 - 6. Factor f(a).
-3*a*(a - 2)*(a + 1)**2
Let i(a) be the third derivative of a**7/2835 + 7*a**6/3240 - a**5/270 + a**4/24 + 3*a**2. Let c(q) be the second derivative of i(q). Factor c(p).
2*(p + 2)*(4*p - 1)/9
Let m(v) = -2*v + 5 + 4*v + 5 - v. Let b be m(-9). What is g in -b - 2*g - 2*g**5 - 2*g**4 + 0 + 0*g**2 + 4*g**3 - 1 + 4*g**2 = 0?
-1, 1
Suppose 5*m + 0*m = -4*j - 39, -3*m - 19 = -2*j. Let g be ((m/4)/(-7))/1. What is d in -1/4*d**3 + 0 + 0*d**2 + 0*d + g*d**4 = 0?
0, 1
Let r(g) be the second derivative of g**9/12096 - g**8/6720 - g**3/3 - 3*g. Let h(v) be the second derivative of r(v). Suppose h(y) = 0. What is y?
0, 1
Let n(x) be the third derivative of -x**9/2016 + x**8/560 - x**7/560 + x**3/3 - 2*x**2. Let t(z) be the first derivative of n(z). Factor t(o).
-3*o**3*(o - 1)**2/2
Let u(y) be the first derivative of y**5/10 - y**4/4 + y**2/2 - y/2 + 8. What is c in u(c) = 0?
-1, 1
Let s(r) = -r**3 - 3*r**2 - 2*r + 2. Let t be s(-2). Let p = 132 - 130. Determine j so that -9/2*j**p - 6*j - t = 0.
-2/3
Let h(r) = 11*r**4 + 9*r**3 + 39*r**2 + 32*r. Let l(n) = 5*n**4 + 5*n**3 + 20*n**2 + 16*n. Let g(t) = 4*h(t) - 9*l(t). Factor g(y).
-y*(y + 1)*(y + 4)**2
Let a be (-1 + 2)*(2 - 0). Factor -3*q**a - 2*q**2 + 9 - 5*q - q + 6*q**2.
(q - 3)**2
Let l be 5 + -8 + (1 - -1). Let j be (-1)/(-2) + l + 1. Factor -7/4*y + 5/4*y**2 + j.
(y - 1)*(5*y - 2)/4
Let v(c) be the second derivative of -c**7/1260 + c**6/180 - c**5/60 + c**4/6 + 4*c. Let i(w) be the third derivative of v(w). Suppose i(p) = 0. What is p?
1
Let x be (-2)/70*35/(-90). Let z(n) be the third derivative of 0 - 1/12*n**4 + 3*n**2 + 0*n - x*n**5 - 2/9*n**3. Factor z(w).
-2*(w + 1)*(w + 2)/3
Let y(w) be the second derivative of -w**5/90 - w**4/9 - 4*w**3/9 - w**2 - 2*w. Let j(a) be the first derivative of y(a). Factor j(i).
-2*(i + 2)**2/3
Let o be (1/180)/((-10)/(-20)). Let x(l) be the second derivative of 0 - 4*l + 0*l**2 + 0*l**3 - o*l**5 - 1/135*l**6 + 1/189*l**7 + 1/54*l**4. Factor x(z).
2*z**2*(z - 1)**2*(z + 1)/9
Let l(u) be the first derivative of -2*u**5/5 + 4*u**3/3 - 2*u + 5. Factor l(c).
-2*(c - 1)**2*(c + 1)**2
Factor -22*i**3 + 13*i**3 + 15*i + 20*i**2 + 14*i**3.
5*i*(i + 1)*(i + 3)
Suppose 2*a + 27 + 57 = 0. Let p be (-6)/(-21) - 114/a. Find u, given that -4/5*u - 42/5*u**p + 26/5*u**2 + 0 = 0.
0, 2/7, 1/3
Let b(c) be the first derivative of 8 + 2/21*c**3 - 1/14*c**4 + 1/7*c**2 - 2/7*c. Factor b(p).
-2*(p - 1)**2*(p + 1)/7
Let z(c) be the second derivative of 27/20*c**5 + 3/2*c**2 + 3/4*c**4 + 4*c - 5/2*c**3 + 0. Factor z(h).
3*(h + 1)*(3*h - 1)**2
Let u be 219/60 + 6/(-15). Let n = 15/4 - u. Factor -1/2*v**5 + 0*v**2 + 0*v**3 + 0 + 0*v - n*v**4.
-v**4*(v + 1)/2
Let p(l) be the first derivative of 1/6*l**6 + 0*l + 2/5*l**5 - 2/3*l**3 + 3 + 0*l**4 - 1/2*l**2. Factor p(i).
i*(i - 1)*(i + 1)**3
Let t(d) be the first derivative of d**5/90 + d**4/54 - d + 4. Let k(j) be the first derivative of t(j). Factor k(v).
2*v**2*(v + 1)/9
Let g(z) be the second derivative of 5*z**7/98 + 11*z**6/210 - 23*z**5/140 - 5*z**4/28 + 4*z**3/21 + 2*z**2/7 - 3*z. Solve g(h) = 0 for h.
-1, -2/5, 2/3, 1
Let n(a) be the second derivative of -a**7/105 - a**6/150 + 5*a. Factor n(j).
-j**4*(2*j + 1)/5
Let i(t) be the first derivative of t**7/3 + 2*t**6/15 - 7*t**5/10 - t**4/3 - 4*t + 2. Let g(b) be the first derivative of i(b). Find x such that g(x) = 0.
-1, -2/7, 0, 1
Let i(p) be the first derivative of 0*p**3 - 3/5*p**5 - 3/8*p**4 - 1/4*p**6 + 0*p**2 + 9 + 0*p. Factor i(t).
-3*t**3*(t + 1)**2/2
Let f be (3 + -1 - -2) + -2. Let v be f*1/25*10. Factor 14/5*i**2 - 18/5*i + v.
2*(i - 1)*(7*i - 2)/5
Let i be 2/((-48)/18)*-4. Let z be -2 - -2 - 2/(-7). Factor 0 - 6/7*h**4 + 2/7*h**5 + 0*h + 6/7*h**i - z*h**2.
2*h**2*(h - 1)**3/7
Let w(j) be the first derivative of -j**4 + 4*j**3 - 6*j**2 + 4*j - 10. Suppose w(t) = 0. What is t?
1
Let m = 294 - 2054/7. Let z(i) be the first derivative of m*i - i**2 + 16/21*i**3 + 1 - 3/14*i**4. Factor z(j).
-2*(j - 1)**2*(3*j - 2)/7
Let q = 123 + -737/6. Let l(m) be the second derivative of 1/12*m**4 + 0*m**2 + 0 + 2*m - q*m**3. Let l(x) = 0. Calculate x.
0, 1
Solve 24*r**3 + 42*r**3 + 21*r**5 - 36*r**3 + 51*r**3 - 78*r**4 - 12*r**2 - 12*r = 0 for r.
-2/7, 0, 1, 2
Let u(d) be the second derivative of 2*d**7/31