)**2
Let v be (-12)/22 + (-3 - 1251/(-297)). Factor 10/9*z + v*z**2 - 4/9.
2*(z + 2)*(3*z - 1)/9
Let t(n) be the first derivative of -n**6/60 - n**5/12 - n**4/6 - 4*n**3/3 - 2. Let g(a) be the third derivative of t(a). Factor g(s).
-2*(s + 1)*(3*s + 2)
Let g(r) = 15*r**2 - r + 1. Let h be g(3). Let k = h - 929/7. What is u in -20/7*u**2 - k - 20/7*u**3 - 10/7*u - 2/7*u**5 - 10/7*u**4 = 0?
-1
Let b(k) be the second derivative of -k**6/70 + 3*k**5/140 + 3*k**4/14 - 2*k**3/7 - 12*k**2/7 + 12*k. Suppose b(g) = 0. Calculate g.
-2, -1, 2
Let q(a) = a**2 - a - 1. Let p(j) = -3*j**2 + 3*j + 4. Let w(b) = -p(b) - 2*q(b). What is u in w(u) = 0?
-1, 2
Let s be (-87)/(-27) - 10/45. Find h, given that 6*h + 0 - 4*h**2 - 9*h**2 - s + 10*h**2 = 0.
1
Suppose 0 = 5*z + 2*v + 9 - 30, 0 = -5*v + 15. Solve -3/5*n**z + 3/5*n**4 + 3/5*n - 3/5*n**2 + 0 = 0.
-1, 0, 1
Suppose 2 - 1/3*q - 1/3*q**2 = 0. What is q?
-3, 2
Suppose 2*s + 0*s = 12. Factor 0*r - r**2 - 4 - 2*r + s*r.
-(r - 2)**2
Let n(g) = g**2 + g. Let z(p) = 2*p**2 + 49*p + 20. Let r(u) = -6*n(u) - 2*z(u). Factor r(y).
-2*(y + 10)*(5*y + 2)
Let f(k) be the second derivative of k**4/3 - 4*k**3/3 + 2*k**2 - 5*k. Determine t, given that f(t) = 0.
1
Suppose 0*w + 2*w + 8 = 0, -4*w - 4 = 3*c. Let b = 3 + c. Solve -b + 0*p**2 - p**2 + 6 + 2*p = 0 for p.
1
Let a(b) be the second derivative of 0 - 4/27*b**4 + 0*b**2 + 1/27*b**3 + b + 1/21*b**7 + 11/45*b**5 - 8/45*b**6. Determine v so that a(v) = 0.
0, 1/3, 1
Factor -4/5 - 38/15*g - 2/5*g**2.
-2*(g + 6)*(3*g + 1)/15
Let h(t) = t**2 - 7*t + 3. Let p = -20 + 27. Let m be h(p). Find g such that 0 - 2/9*g**m + 0*g**2 + 2/9*g = 0.
-1, 0, 1
Let d = 0 + 15. Let x = d - 13. Factor 0 + 8/3*r**x - 2/3*r.
2*r*(4*r - 1)/3
Let c be (-2 + 2)/(-5 + 3). Let i = 0 + c. Factor i - 1/3*m**3 - 1/3*m**2 + 0*m.
-m**2*(m + 1)/3
Let r(q) be the first derivative of -5*q**6/6 + q**5 + 15*q**4/4 - 5*q**3/3 - 5*q**2 + 16. Determine b, given that r(b) = 0.
-1, 0, 1, 2
Determine z so that -1/5*z**2 - 4/5 + 4/5*z = 0.
2
Let k = 984 + -982. Suppose -2*r**3 + 0*r + 4/15*r**k + 62/15*r**4 - 8/5*r**5 + 0 = 0. Calculate r.
0, 1/4, 1/3, 2
Let p = 145/4 + -36. Solve 0*y - p + 1/4*y**2 = 0.
-1, 1
Let q(t) = t**2 - 9*t + 8. Let n be q(8). Let f be (-9)/21 - 39/(-42). Factor n + f*b**2 - 1/2*b.
b*(b - 1)/2
Let h(w) = -w**3 + 5*w**2 + 5*w + 8. Let i be h(6). Find t, given that -2 + 3*t - 4*t**2 + 0*t**4 + 5*t**i + t**4 - 3*t**3 = 0.
-1, 1, 2
Suppose -56 = -5*x + 3*r, -4*x - r = -18 - 20. Let w be ((-12)/(-10))/(4/x). Factor z**3 + 1 - 4*z + 0*z - z**2 + w*z.
(z - 1)**2*(z + 1)
Let c = -9/665 + -158243/1995. Let j = 80 + c. Suppose -8*p - 16/3 - j*p**3 - 4*p**2 = 0. What is p?
-2
Let i be (0/(-5))/(0/(-1) + 3). Let b(d) be the first derivative of -2 + 2/15*d**5 + 0*d**2 + i*d + 1/27*d**6 + 2/27*d**3 + 1/6*d**4. Factor b(q).
2*q**2*(q + 1)**3/9
Suppose -2*f - 2*f + 36 = 4*g, -3*g - 1 = -4*f. Let j = -1/5 + 17/35. Solve 4/7*t + 8/7*t**3 + 0 - 10/7*t**2 - j*t**f = 0.
0, 1, 2
Factor 6 - 11 - 20*w - 5*w**3 - 3*w**3 - 5*w**4 - 12*w**3 - 30*w**2.
-5*(w + 1)**4
Let y(u) be the first derivative of 1 - 2/3*u**3 + u**2 + 0*u. Factor y(s).
-2*s*(s - 1)
Let b(n) = n**2 + 44 - 4 + 36*n + 19*n**2. Let l(u) = -7*u**2 - 12*u - 13. Let x(k) = 5*b(k) + 14*l(k). Suppose x(p) = 0. What is p?
-3
Suppose 3*b - 5*t = 31, 0 = -5*b + 5*t - 19 + 54. Determine w, given that 5*w**2 - 3*w**2 - w**b + w**2 = 0.
0
Suppose 3*k**2 + 1/2*k**3 + 6*k + 4 = 0. What is k?
-2
Let n(y) = 6*y. Let u(s) = 5*s - 1. Let c(w) = -2*n(w) + 3*u(w). Let j be c(2). Let -9*o**2 - 3*o - 4*o + 6 + 12*o + 4*o - 6*o**j = 0. Calculate o.
-2, -1/2, 1
Let y = 207 + -1861/9. What is p in -4/9*p**2 + 0 - y*p**3 - 2/9*p = 0?
-1, 0
Let k(l) be the third derivative of l**6/40 - l**5/20 + 10*l**2. Determine v so that k(v) = 0.
0, 1
Let i(z) be the first derivative of -5 + 0*z**3 - 9/10*z**2 - 6/5*z + 3/20*z**4. Suppose i(y) = 0. What is y?
-1, 2
Solve 0 - 2*r - 14/3*r**4 - 31/3*r**3 + 31/3*r**2 = 0.
-3, 0, 2/7, 1/2
Solve -20*c + 9*c**3 + 2*c**4 + 6*c**3 + 3*c**4 = 0 for c.
-2, 0, 1
Let a = -152933/5 - -30698. Let o = a + -111. Factor o - 2/5*i**3 + 2/5*i - 2/5*i**2.
-2*(i - 1)*(i + 1)**2/5
Let a(z) be the second derivative of 3*z**5/20 - 3*z**3/2 - 3*z**2 - 4*z. Factor a(g).
3*(g - 2)*(g + 1)**2
Find x, given that 2/5*x**3 - 2/5*x**2 - 4/5*x + 0 = 0.
-1, 0, 2
Let f(a) be the first derivative of 1/3*a**6 + 5 + 0*a**3 - 4/5*a**5 + 0*a**2 + 1/2*a**4 + 0*a. Determine s, given that f(s) = 0.
0, 1
Let h(m) be the second derivative of -m**4/72 + 5*m**3/36 + 19*m. Factor h(k).
-k*(k - 5)/6
Suppose -q = 2*q - 9. Suppose 2*u + q - 7 = 0. Solve -1/2 - 1/4*l**u + 3/4*l = 0.
1, 2
Factor 0*p**4 - 8 + 8 - p**3 + p - p**2 + p**4.
p*(p - 1)**2*(p + 1)
Let g(y) be the first derivative of -2*y**6/3 + 3*y**4 - 8*y**3/3 + 32. Factor g(n).
-4*n**2*(n - 1)**2*(n + 2)
Let t = 22 - 11. Let h(z) = -z + 11. Let b be h(t). Suppose -5*o + b*o**2 + o**2 - 1 + 4*o + 0 + o**3 = 0. Calculate o.
-1, 1
Let r(f) be the second derivative of f**4/6 + f**3/3 - 2*f**2 - 5*f - 1. Factor r(b).
2*(b - 1)*(b + 2)
Determine g, given that -23*g**2 + 6*g**2 + 11*g**2 + 14*g + 12 + 8*g**2 = 0.
-6, -1
Let s(r) be the first derivative of -r**4/20 + r**3/10 - 5*r + 3. Let l(c) be the first derivative of s(c). Suppose l(i) = 0. Calculate i.
0, 1
Factor 3/5*t**2 + 3/5*t**3 - 3/5*t - 3/5.
3*(t - 1)*(t + 1)**2/5
Factor h**4 - 65*h**2 + 0 + 1 + 63*h**2.
(h - 1)**2*(h + 1)**2
Solve 4/3*k**2 + 4/3 - 17/3*k = 0.
1/4, 4
Suppose -5*q + 8 = -q. Solve 4*h**q - 4*h**2 - 4*h**2 + 2*h**2 + 8*h - 8 = 0 for h.
2
Let o = 456 - 3647/8. Factor 0 - o*m**4 + 1/8*m**2 + 0*m + 0*m**3.
-m**2*(m - 1)*(m + 1)/8
Let o(i) be the first derivative of 3*i**4/4 + i**3 + 6. Solve o(p) = 0.
-1, 0
Let h = -6 + 30. What is k in h*k**2 - 11*k**2 - 12*k**2 - 3*k + 2 = 0?
1, 2
Let k(z) = -5*z**2 - 3*z + 4. Let s(j) = 26*j**2 + 15*j - 19. Let v(p) = -11*k(p) - 2*s(p). Determine i, given that v(i) = 0.
-2, 1
Let z be (-22)/(-12) + -7 + (-215)/(-30). Factor 4/3*i + 2/3*i**z + 0.
2*i*(i + 2)/3
Let h(f) be the first derivative of 3*f**5/20 + 3*f**4/16 - f**3/4 - 3*f**2/8 - 2. Suppose h(d) = 0. Calculate d.
-1, 0, 1
Let l(j) be the third derivative of -1/448*j**8 + j**2 + 0 + 0*j - 1/32*j**4 - 1/420*j**7 + 1/80*j**6 + 1/60*j**5 - 1/12*j**3. Let l(c) = 0. Calculate c.
-1, -2/3, 1
Let x be (6/(-4))/1 + (-1271)/(-738). Suppose 2/9*n + 4/9 - x*n**3 - 4/9*n**2 = 0. What is n?
-2, -1, 1
Suppose -7*z = -18 - 3. Let g(m) be the third derivative of -1/60*m**5 + m**2 + 0 - 1/6*m**z + 0*m - 1/12*m**4. Factor g(x).
-(x + 1)**2
Let h(q) be the third derivative of 1/120*q**5 + 0 + 0*q**3 + 4*q**2 - 1/96*q**4 + 0*q - 1/480*q**6. Solve h(w) = 0 for w.
0, 1
Let o(n) be the third derivative of 0 + 1/16*n**4 - 2*n**2 + 1/120*n**5 + 0*n + 1/6*n**3. Factor o(g).
(g + 1)*(g + 2)/2
Let y(r) = -r**5 - 6*r**4 - r**2 + 3*r + 3. Let f(i) = -2*i**5 - 11*i**4 - i**3 - 2*i**2 + 5*i + 5. Let g(p) = 3*f(p) - 5*y(p). Let g(d) = 0. Calculate d.
-1, 0
Let x(i) be the third derivative of -i**8/23520 - i**7/4410 - i**6/2520 - i**4/12 + 2*i**2. Let p(c) be the second derivative of x(c). Solve p(l) = 0 for l.
-1, 0
Let u(t) be the second derivative of 1/2*t**5 - 1/7*t**7 - 2*t + 0 - 1/6*t**4 - 2/3*t**3 + 0*t**2 + 1/15*t**6. Solve u(o) = 0 for o.
-1, -2/3, 0, 1
Let i(z) = 20*z - 158. Let l be i(8). Suppose 0 + 2/5*g**5 + 4/5*g**4 - 4/5*g**l - 2/5*g + 0*g**3 = 0. What is g?
-1, 0, 1
Let n(f) be the second derivative of 3*f**5/4 + 11*f**4/4 + 7*f**3/2 + 3*f**2/2 + 4*f. Factor n(m).
3*(m + 1)**2*(5*m + 1)
Factor -3/7*c**4 - 6/7*c**3 + 0 + 0*c - 3/7*c**2.
-3*c**2*(c + 1)**2/7
Let g be (-6)/(-12)*-2*(-1 + 0). Let d(z) be the first derivative of 0*z + g + 0*z**2 - 1/6*z**3. What is t in d(t) = 0?
0
Factor 6*m - 29 - 31 + 57 - 3*m**2.
-3*(m - 1)**2
Suppose 0*d + 0*d**4 + 0 + 1/6*d**3 - 1/6*d**5 + 0*d**2 = 0. What is d?
-1, 0, 1
Let m(i) be the third derivative of 4/3*i**3 - 11/30*i**6 + 4*i**2 + 0*i + 11/10*i**5 + 0 + 1/21*i**7 - 5/3*i**4. Determine h, given that m(h) = 0.
2/5, 1, 2
Let l(d) be the third derivative of d**5/570 - d**4/114 - 5*d**2. Let l(r) = 0. Calculate r.
0, 2
Let m(p) be the third derivative of p**5/40 - p**4/2 + 3*p**3 + p**2 - 41*p. Determine j, given that m(j) = 0.
2, 6
Let l = -2822 +