ulate u.
-2, -1
Let w(r) = -r**3 - 12*r**2 - 12*r - 13. Let j be w(-11). Let a be j*((-35)/25 + 1). Factor -2/5 - 7/5*c + a*c**2.
(c - 2)*(4*c + 1)/5
Suppose -8*w + 11*w + 45 = 0. Let j = -12 - w. Factor j*f + 3/2*f**3 + 0 + 9/2*f**2.
3*f*(f + 1)*(f + 2)/2
Let i(z) = -2*z**2 + 4*z. Let q(w) = w**2. Let m(l) = -i(l) + 2*q(l). Factor m(j).
4*j*(j - 1)
Let w(p) = 16*p**4 + 16*p**3 + 60*p**2 + 80*p + 32. Let k(y) = y**4 - y**3 - y**2. Let x(j) = 12*k(j) - w(j). Factor x(u).
-4*(u + 1)*(u + 2)**3
Let b(k) be the first derivative of k**6/2340 + k**5/390 + k**4/156 - 7*k**3/3 - 6. Let y(a) be the third derivative of b(a). Let y(v) = 0. What is v?
-1
Let t(q) be the third derivative of q**8/336 - q**7/90 + q**6/120 + q**5/60 - q**4/36 - 10*q**2. Determine z so that t(z) = 0.
-2/3, 0, 1
Let w be 27/(-36) + 19/4. Suppose -w*v + q = v, -5*v - 2*q = 0. Factor 0 + v*r**3 + 2/5*r**4 + 0*r - 2/5*r**5 + 0*r**2.
-2*r**4*(r - 1)/5
Let k = 7 + -7. Let d(q) = -4*q + 5 + q**2 - 4 + k + 0. Let r(s) = -2*s**2 + 4*s - 2. Let t(n) = 4*d(n) + 3*r(n). Find u such that t(u) = 0.
-1
Let m(w) be the first derivative of 4*w**6/3 + 6*w**5/5 - 5*w**4/2 - 2*w**3 + w**2 - 9. Solve m(y) = 0.
-1, 0, 1/4, 1
Let q = 11/19 + -3/38. Factor j + 0 + 2*j**3 - q*j**4 - 5/2*j**2.
-j*(j - 2)*(j - 1)**2/2
Let b(f) be the first derivative of 2/35*f**5 + 16/21*f**3 - 4/7*f**2 + 0*f - 4 - 5/14*f**4. Solve b(n) = 0.
0, 1, 2
Let f(c) be the first derivative of c**7/14 - 3*c**5/20 - 5*c - 4. Let q(t) be the first derivative of f(t). Factor q(l).
3*l**3*(l - 1)*(l + 1)
Let j(i) be the first derivative of -1/16*i**4 + 7 + 1/8*i**2 + 1/12*i**3 - 1/4*i. Factor j(z).
-(z - 1)**2*(z + 1)/4
Let c = 298 + -3276/11. Determine b so that 4/11*b**2 + 0 - c*b**3 - 2/11*b = 0.
0, 1
Let b(d) = -3*d**3 + 4*d**2 + 2. Let j(p) = 7*p**3 - 9*p**2 - 5. Let m(y) = -5*b(y) - 2*j(y). Solve m(k) = 0 for k.
0, 2
Let b = 2789/9 + -309. Determine j so that 8/9*j**4 + 0 - 8/9*j + 2/3*j**3 + 2/9*j**5 - b*j**2 = 0.
-2, -1, 0, 1
Let b(h) be the second derivative of -7*h**5/50 + 8*h**4/15 - 11*h**3/15 + 2*h**2/5 - 7*h. Find v such that b(v) = 0.
2/7, 1
Let m = 7 - 4. Suppose 0 = m*x - 25 + 1. Suppose -8/7 + x*h - 14*h**2 = 0. Calculate h.
2/7
Suppose 5*a + 2*u - 666 = 0, -a - 3*u + 273 = a. Let x be -3 + a/21 + -3. Factor 0 + 0*k**2 + 0*k + x*k**3 + 2/7*k**4.
2*k**3*(k + 1)/7
Let a(w) be the first derivative of -w**3/6 - w**2/4 + 37. Factor a(u).
-u*(u + 1)/2
Let d(m) = -m**2 + m + 1. Let p(s) = -6*s**2 - 8*s. Let a(t) = 4*d(t) + 2*p(t). Factor a(k).
-4*(k + 1)*(4*k - 1)
Let z(n) be the second derivative of 0 - 1/147*n**7 + 1/105*n**6 - 1/42*n**4 + 1/14*n**5 - 8/21*n**3 - n - 4/7*n**2. Factor z(x).
-2*(x - 2)**2*(x + 1)**3/7
Let o(b) be the first derivative of -b**5/25 + b**4/20 + b**3/15 - b**2/10 - 3. Factor o(p).
-p*(p - 1)**2*(p + 1)/5
Factor -5*r + 25*r - 1505*r**3 + 1501*r**3 - 16*r**2.
-4*r*(r - 1)*(r + 5)
Let 16/3*d - 4/3*d**2 - 16/3*d**3 + 4/3*d**4 + 0 = 0. What is d?
-1, 0, 1, 4
Factor -2/9*i**2 + 0 - 26/9*i**3 - 8*i**5 - 32/3*i**4 + 0*i.
-2*i**2*(i + 1)*(6*i + 1)**2/9
Find d, given that 175*d**3 - 175*d**3 + 3*d**4 = 0.
0
Let w(s) be the first derivative of -2*s**6 + 3*s**5 + 3*s**4/2 - 3*s**3 - 47. Factor w(c).
-3*c**2*(c - 1)**2*(4*c + 3)
Determine a so that 0 + 0*a - 1/2*a**4 - 1/2*a**3 + a**2 = 0.
-2, 0, 1
Solve 102*k**4 - 32*k - 60*k**2 + 9*k**5 - 58*k**4 + 3*k**5 + 20*k**3 + 16 = 0.
-2, -1, 1/3, 1
Let p(f) be the first derivative of f**6/42 - 3*f**5/35 + f**4/14 + 7. Solve p(s) = 0 for s.
0, 1, 2
Let f(y) be the third derivative of y**5/30 + y**4/6 + 9*y**2. Solve f(z) = 0.
-2, 0
Let s = 2/325 + 277/7800. Let z(g) be the second derivative of 0*g**2 + 0 - 3*g - 1/80*g**5 - 1/24*g**3 - s*g**4. Factor z(j).
-j*(j + 1)**2/4
Factor 0 + 0*u + 0*u**2 + 1/6*u**5 + 0*u**3 + 0*u**4.
u**5/6
Let n(t) = -t**2 - 14*t + 1. Let u be n(-14). Determine w, given that -u + 32*w**3 + 21*w**3 - 18*w**3 - 3 + 39*w**2 = 0.
-1, -2/5, 2/7
Solve 27/7*s - 18/7*s**2 - 12/7 + 3/7*s**3 = 0.
1, 4
Factor -2/3*v**3 + v**2 + 1/6 + 1/6*v**4 - 2/3*v.
(v - 1)**4/6
Let f be (-2)/8 - 10/(-40). Factor -2*r + f*r**3 + 0*r**3 + 2*r**3 - r**4 - 2*r**2 + 3*r**4.
2*r*(r - 1)*(r + 1)**2
Determine g, given that 3/8*g**3 + 3*g + 3/2 + 15/8*g**2 = 0.
-2, -1
Let u(b) be the second derivative of -b**6/18 - b**5/20 + 7*b**4/36 + b**3/6 - b**2/3 + 6*b. Determine v, given that u(v) = 0.
-1, 2/5, 1
Suppose 12*m = 17*m. Let a(s) be the second derivative of -1/60*s**5 - 1/6*s**3 - 1/6*s**2 + s + m - 1/12*s**4. Factor a(v).
-(v + 1)**3/3
Suppose -3/7*c**4 + 11/7*c - 2/7 - 19/7*c**2 + 13/7*c**3 = 0. What is c?
1/3, 1, 2
Let s = -10 - -12. Let w(q) be the third derivative of 0*q**6 + 0 - 1/6*q**3 + 0*q + 1/30*q**5 + 0*q**4 + q**s - 1/210*q**7. Find c, given that w(c) = 0.
-1, 1
Suppose -1/2*o - 1 + 1/2*o**2 = 0. Calculate o.
-1, 2
Suppose 0 = -2*k, 4*a - 3*a - 3*k = 0. Solve 1 + a*y - 2 + y**2 + y**3 - y = 0.
-1, 1
Let z(d) be the first derivative of d**3/15 + 6. Let z(k) = 0. Calculate k.
0
Let h(g) be the second derivative of -g**7/294 - g**6/70 - g**5/140 + g**4/28 + g**3/21 + 9*g. Find c such that h(c) = 0.
-2, -1, 0, 1
Factor 17*f**3 - 15 + 20*f - f**3 - 7 + 44*f**2 + 14.
4*(f + 1)*(f + 2)*(4*f - 1)
Let j = -17/14 - -109/84. Let u(f) be the third derivative of 0*f - 1/480*f**6 + 1/60*f**5 + 4*f**2 - 5/96*f**4 + 0 + j*f**3. Solve u(b) = 0 for b.
1, 2
Let n(b) be the third derivative of b**8/336 - 2*b**7/105 + b**6/20 - b**5/15 + b**4/24 - 13*b**2. Suppose n(k) = 0. What is k?
0, 1
Factor q**2 - 12 + 29 - 6 + 3*q - 9.
(q + 1)*(q + 2)
Let z(x) = -x**2 + 9*x - 8. Let b be z(7). Suppose 6 = b*v - 3*v. Factor 2/3 - 3*o + 4/3*o**v.
(o - 2)*(4*o - 1)/3
Let v(m) be the second derivative of -m**8/6720 - m**7/280 - 3*m**6/80 - 9*m**5/40 + m**4/3 - 4*m. Let u(h) be the third derivative of v(h). Factor u(i).
-(i + 3)**3
Solve 23*l - 8*l + 5*l**3 + 25 - 20 + 3*l**2 + 12*l**2 = 0 for l.
-1
Suppose 30 = -p + 32. Factor 0 + 0*o**p - 2/7*o**4 + 0*o + 4/7*o**3.
-2*o**3*(o - 2)/7
Let k = -313/22 + 162/11. Suppose 0*w - 1/4*w**4 + 0 - 1/4*w**3 + k*w**2 = 0. What is w?
-2, 0, 1
Let w(v) = 2*v**2 - 7*v. Let l(s) = -6 + 6 + 4*s - s**2. Let q(c) = -10*l(c) - 6*w(c). Determine i, given that q(i) = 0.
0, 1
Let c = 167/182 + -9/26. Let j = -684/7 + 98. Solve 2/7 + c*v + j*v**2 = 0 for v.
-1
Let z(l) = -l**3 - 6*l**2 - l - 2. Let s be z(-6). Suppose -s*b = 5*m + 3, b - m + 9 = -5*m. Let 0*v**2 + 0 + 2/7*v - 2/7*v**b = 0. What is v?
-1, 0, 1
Factor -1/5*a**2 + 0 + 0*a.
-a**2/5
Let h(t) be the third derivative of -t**6/75 + t**5/150 + t**4/15 - t**3/15 - 5*t**2. Suppose h(y) = 0. What is y?
-1, 1/4, 1
Let y(q) = -q**2 + 3*q + 7. Suppose 5*g = 2*r + 16, -g - 4*g + 4*r = -12. Let n be y(g). Suppose 2/3*m**2 + 1/3*m**n + 0*m + 0 = 0. What is m?
-2, 0
Solve -18/7*t + 19/7 - 1/7*t**2 = 0.
-19, 1
Suppose 6*s - 73 + 19 = 0. Suppose -2*w + 5*w = -3*g - s, 0 = -w - 4*g - 18. Let 0 - 2/9*u + 2/9*u**w = 0. Calculate u.
0, 1
Let q = -9 + 15. Let l(i) be the third derivative of i**2 + 0*i - 1/120*i**q + 0 + 0*i**3 + 1/210*i**7 - 1/60*i**5 + 1/24*i**4. Factor l(x).
x*(x - 1)**2*(x + 1)
Solve 4*c**2 + 402 + 407 - 809 = 0 for c.
0
Let s be ((-34)/30 - -1)*3/(-2). Let b(m) be the first derivative of -s*m**5 + 1/16*m**4 + 0*m**2 + 0*m + 1/6*m**3 - 1 - 1/8*m**6. Solve b(h) = 0.
-1, 0, 2/3
Suppose 3*q - 3*s = 0, -13 - 11 = -5*q - 3*s. Factor -i**2 + 0*i + 0 + 1/2*i**q.
i**2*(i - 2)/2
Let c(u) = -u. Let v = -3 + 1. Let p be c(v). Factor 8/5 + 2/5*t**p - 8/5*t.
2*(t - 2)**2/5
Let s(d) = 0*d**2 + 5*d - 5*d**2 - 8*d**2. Let a(u) = -7*u**2 + 2*u. Let y(f) = -7*a(f) + 4*s(f). Find i such that y(i) = 0.
0, 2
Let u(w) be the first derivative of 4*w**6/45 + w**5/30 - 2*w**4/9 - w**3/9 - w + 4. Let l(c) be the first derivative of u(c). Solve l(q) = 0.
-1, -1/4, 0, 1
Let c(b) = 10*b**2 - 12*b + 4. Let k(w) = 11*w**2 - 12*w + 4. Let z(a) = 3*c(a) - 2*k(a). Factor z(p).
4*(p - 1)*(2*p - 1)
Let w be ((-10)/6)/(3/(-9)). Let r = -3 + 7. Suppose u**2 + 0*u**5 - u**w + 0*u**5 - u**r + u**3 = 0. What is u?
-1, 0, 1
Suppose -b = -2*b - 18. Let a be (-1)/2 - 21/b. Determine h so that 2/3*h**2 + a + 4/3*h = 0.
-1
Let a(h) be the third derivative of 1/30*h**5 + 4/3*h**3 - h**2 + 0 + 0*h + 1/3*h**4. Suppose a(w) = 0. What is w?
-2
Let 