 10 = -2*r + 2*q. Let u(v) = -v**3 + 4*v**2 + 4. Let k be u(r). Factor -k*l**2 + 78*l**5 - 154*l**4 + 5*l**2 + 20*l**5 + 64*l**3.
2*l**2*(l - 1)*(7*l - 2)**2
Let l(u) be the first derivative of 1/30*u**5 - 3 + 0*u - 1/2*u**2 + 0*u**3 - 1/12*u**4. Let p(c) be the second derivative of l(c). Let p(q) = 0. What is q?
0, 1
Let f(z) = -z**3 + 5*z**2 + 6*z + 5. Let c(n) = -n**2 - n - 1 - 3 - 3 + 6. Let b(h) = 10*c(h) + 2*f(h). Factor b(w).
-2*w*(w - 1)*(w + 1)
Let n(i) = -5*i**2 + 16*i - 11. Let s(y) = y**2 - 3*y + 2. Let j be -1*(-3 - 2/(-2)). Let f be 7*(-3 + j) - -3. Let p(t) = f*n(t) - 22*s(t). Factor p(q).
-2*q*(q - 1)
Let x(n) be the third derivative of 0*n**3 + 0*n**6 + 0*n**4 + 0 + 0*n - 1/420*n**7 + 1/120*n**5 + 5*n**2. Solve x(u) = 0.
-1, 0, 1
Let x = -604/5 - -121. Let v(r) be the first derivative of -r**3 + r**2 + 0*r - 1 + 0*r**4 + x*r**5. Factor v(w).
w*(w - 1)**2*(w + 2)
Let n(l) = -l**3 + 2*l**2 - l + 1. Let h(p) = -p**3 - p**2 - 24*p + 1. Let j(c) = -3*h(c) + 15*n(c). Factor j(x).
-3*(x - 4)*(x + 1)*(4*x + 1)
Let d(z) be the first derivative of 5*z**4/4 - 20*z**3/3 - 5*z**2/2 + 20*z - 13. Factor d(a).
5*(a - 4)*(a - 1)*(a + 1)
Let v be 54/(-9)*(-2)/3. Let s(k) be the second derivative of 4/3*k**2 + 2*k + 9/2*k**v - 4*k**3 + 0. Factor s(z).
2*(9*z - 2)**2/3
Suppose -2 = -f + 3. Determine n, given that 3*n**f - 12*n**4 - 3*n**2 + 0*n**3 + 2*n**3 + 3*n**4 + 7*n**3 = 0.
0, 1
Let j = -441 - -443. Solve -68/9*i**3 - 38/3*i**j - 8/9 + 22/9*i**4 + 8/3*i**5 - 56/9*i = 0.
-1, -2/3, -1/4, 2
Let z(w) be the second derivative of -1/2*w**2 - 1/30*w**6 + 1/6*w**4 + 0*w**3 + 0*w**5 + 0 + 2*w. Factor z(j).
-(j - 1)**2*(j + 1)**2
Let d(q) = -2*q**2 + 2*q - 5. Let x(f) = f + 1 - f + 0*f + f**2. Let l be (-2)/2 - 6/(-3). Let a(p) = l*d(p) + 5*x(p). Determine g so that a(g) = 0.
-2/3, 0
Suppose 8/7 - 2/7*k**3 - 16/7*k + 10/7*k**2 = 0. What is k?
1, 2
Factor -2/5 - 8/5*l**3 - 12/5*l**2 - 8/5*l - 2/5*l**4.
-2*(l + 1)**4/5
Let t(w) be the third derivative of w**6/540 + w**5/90 + w**4/54 + 2*w**2. What is o in t(o) = 0?
-2, -1, 0
Let y = 278 + -1943/7. Factor -y*d**3 - d**2 + 0*d + 4/7.
-(d + 1)*(d + 2)*(3*d - 2)/7
Factor -2 + b + 1 - 2 + b + b**2.
(b - 1)*(b + 3)
Let j(k) be the first derivative of k**5/35 - k**4/7 + 5*k**3/21 - k**2/7 - 26. Factor j(c).
c*(c - 2)*(c - 1)**2/7
Suppose 3*v = -3*d - 5 + 2, -3*d = 2*v. Determine h, given that 5*h**3 - 4*h**d - 3*h**3 - 3*h**4 + 4*h**3 + h**2 = 0.
0, 1
Suppose 0 = -4*j + 12, 0 = -2*t - j - 4*j - 21. Let g be ((-2)/(-6))/((-3)/t). Solve -2 - 6*z**2 - z**g + 1 + 8*z**2 = 0.
-1, 1
Let k(j) be the second derivative of j**5/60 - j**4/18 - j**3/6 - 4*j. Find a such that k(a) = 0.
-1, 0, 3
Let y(v) be the third derivative of -v**8/1848 + v**7/385 - v**6/660 - v**5/110 + v**4/66 - 6*v**2. Solve y(s) = 0.
-1, 0, 1, 2
Suppose -4*l + 16 = -4*o, -l - 2*o + 5*o = -4. Let -4*p**2 + 8/3*p - 4*p**3 + 0 + 8/3*p**l = 0. Calculate p.
-1, 0, 1/2, 2
Let t(n) be the second derivative of n**4/42 + 4*n**3/21 - 5*n**2/7 + 2*n. Factor t(r).
2*(r - 1)*(r + 5)/7
Suppose -y + 12 = -5*y. Let m = y - -8. Let -2*o**4 + 2*o**2 - 2*o + 3*o**5 - 4*o**m + 3*o = 0. What is o?
-1, 0, 1
Let o = -485 - -16977/35. Let c(n) be the first derivative of 1/7*n**4 + 0*n**3 + o*n**5 - 2/7*n - 2/7*n**2 + 3. Factor c(x).
2*(x - 1)*(x + 1)**3/7
Factor 0*r + 0*r**2 + 1/6*r**4 + 1/6*r**3 + 0.
r**3*(r + 1)/6
Let w(x) be the third derivative of 25*x**8/1344 + 3*x**7/56 - x**6/480 - 41*x**5/240 - x**4/4 - x**3/6 - x**2. Solve w(v) = 0.
-1, -2/5, 1
Let b be (-5)/(-20) + 180/48. Factor 0*w**3 + 2/7*w**5 + 0*w**2 + 0*w + 0 + 2/7*w**b.
2*w**4*(w + 1)/7
Suppose 8 + 10 = v. Let j = v - 16. Factor -6/5*s**4 + 0*s - 2/5*s**5 + 0 - 2/5*s**j - 6/5*s**3.
-2*s**2*(s + 1)**3/5
Suppose -2*h + 5*h - 6 = 0. Let p(r) = r**3 - 2*r - 1. Let t be p(h). Let 0*m + m**3 - m - t - m**2 + 4 = 0. What is m?
-1, 1
Let i = 378 - 18143/48. Let w(k) be the second derivative of -i*k**4 + 1/8*k**2 - k - 1/80*k**5 + 1/24*k**3 + 0. Suppose w(d) = 0. Calculate d.
-1, 1
Let m(k) = -k**3 + 5*k**2 + 8*k - 8. Let i be m(6). Determine a so that -3*a**4 + 6*a**4 + 81*a**2 - 81*a - 18*a**3 - 9*a**3 + 0*a**i = 0.
0, 3
Suppose -1/3*q**2 - q - 2/3 = 0. Calculate q.
-2, -1
Let n(p) be the second derivative of p**7/6300 - p**6/1800 + p**4/6 - 2*p. Let t(k) be the third derivative of n(k). Determine v, given that t(v) = 0.
0, 1
Let f(k) = k**2 + 1. Let z be f(2). Suppose 2*q**3 + 2*q**3 + 2*q**4 - 3*q**z - 4*q**5 + 3*q**5 - 2*q**2 = 0. What is q?
-1, 0, 1/2, 1
Let m = -11 - -14. Factor 0 - 2/7*b + 2/7*b**m + 0*b**2.
2*b*(b - 1)*(b + 1)/7
Let m(p) be the third derivative of 7*p**6/90 + 2*p**5/3 + 2*p**4 + 16*p**3/9 - 8*p**2. Solve m(u) = 0.
-2, -2/7
Let a(t) be the second derivative of -t**5/170 - t**4/102 + 4*t**3/51 + 4*t**2/17 - 35*t. Factor a(g).
-2*(g - 2)*(g + 1)*(g + 2)/17
Let u(x) be the third derivative of -x**8/140 - 2*x**7/175 + x**6/40 + x**5/20 - x**4/40 - x**3/10 + 4*x**2. What is c in u(c) = 0?
-1, -1/2, 1/2, 1
Let o(g) be the first derivative of g**3/3 - 4*g**2 + 10*g - 2. Let a be o(7). Determine r so that 2*r**5 + 2*r**2 + 4*r**4 + 6*r**3 + 0*r**a + 2*r**4 = 0.
-1, 0
Let z(u) be the third derivative of -u**5/210 - u**4/84 + 2*u**3/21 + 6*u**2. Let z(d) = 0. Calculate d.
-2, 1
Let f(p) be the first derivative of -p - 3/8*p**4 - 1 - 3/4*p**2 + 4/3*p**3. What is u in f(u) = 0?
-1/3, 1, 2
Let a = 17 - 14. Suppose 2*l - 7*l + 25 = 0. Factor 2*t**4 + 6*t**3 + 2 + t**5 - 4*t**2 - 2*t**a - 3*t**l - 2*t.
-2*(t - 1)**3*(t + 1)**2
Let h(g) be the first derivative of 4*g**3 - 2 - 9/2*g**4 + 16*g + 20*g**2. Factor h(m).
-2*(m - 2)*(3*m + 2)**2
Let x(c) be the third derivative of -c**7/840 - c**6/180 - c**5/120 - c**3/3 + 2*c**2. Let a(w) be the first derivative of x(w). Factor a(s).
-s*(s + 1)**2
Suppose 0*i**2 + 0*i**3 - 1/4*i**4 + 0 + 0*i = 0. Calculate i.
0
Let g(p) be the second derivative of -1/135*p**6 - 1/9*p**2 + 0*p**3 + 0*p**5 + 0 - 8*p + 1/27*p**4. Factor g(u).
-2*(u - 1)**2*(u + 1)**2/9
Let w(r) be the third derivative of -r**6/40 + 7*r**5/30 - 17*r**4/24 + r**3 + 11*r**2. Factor w(m).
-(m - 3)*(m - 1)*(3*m - 2)
Suppose -2*k = 2*k - 24. Let n(b) = -9*b**2 + 9*b - 11. Let x(y) = -5*y**2 + 5*y - 6. Let q(v) = k*n(v) - 11*x(v). Suppose q(r) = 0. What is r?
0, 1
Let x(b) = 3*b**5 - 4*b**4 - b**3 + 4*b**2 + 2. Let c(f) = -3*f**5 + 3*f**4 - 3*f**2 - 3. Let h(w) = 2*c(w) + 3*x(w). Determine n, given that h(n) = 0.
-1, 0, 1, 2
Factor -2/3*a + 2/3*a**3 + 0 - 1/3*a**4 + 1/3*a**2.
-a*(a - 2)*(a - 1)*(a + 1)/3
Let z = 11289 - 880421/78. Let b = -2/39 + z. Determine k so that 0*k**3 - 3/4 + b*k**2 - 3/4*k**4 + 0*k = 0.
-1, 1
Suppose -j - 1 = -2*y, -5*j - 2*y - 5 = -48. Suppose -j*c + 6*c + 3 = 0. What is u in 0*u + 2/5*u**c + 2/5*u**4 - 2/5*u**2 - 2/5*u**5 + 0 = 0?
-1, 0, 1
Let p = 67 - 67. What is t in 0 + p*t**2 - 2/7*t**5 - 2/7*t**4 + 0*t + 4/7*t**3 = 0?
-2, 0, 1
Suppose 0*b + 12 = 2*b. Let s(w) = -w**2 - w - 1. Let v(x) = -7*x**2 - 4*x - 3. Let i(n) = b*s(n) - v(n). Solve i(g) = 0 for g.
-1, 3
Suppose 4*u - b + 43 = 0, 53 = -2*u - 2*u - b. Let s be (-5)/(25/u) - 2. Factor s*k**3 + 0*k**2 + 0*k + 0 + 6/5*k**4.
2*k**3*(3*k + 1)/5
Let o(w) = -14*w - 12. Let s be o(-1). Solve -3/2*j**s - 3/2 + 3*j = 0 for j.
1
Suppose 3*k + 7 = -5. Let i = k - -7. What is o in -3*o**5 - 3*o - 2*o**4 + i + 4*o**2 + 6*o**3 + 0*o**4 - 5 = 0?
-1, -2/3, 1
Let c(v) be the second derivative of -v**6/20 - 3*v**5/5 - 3*v**4 - 8*v**3 - 12*v**2 + 8*v. Solve c(f) = 0.
-2
Let t(v) be the first derivative of -v**4/6 - 10*v**3/9 + v**2/3 + 10*v/3 - 9. Factor t(o).
-2*(o - 1)*(o + 1)*(o + 5)/3
Let p be (-252)/(-66) + 2/11. Factor y**5 - 5*y**4 + 2*y - y**3 + 10*y**3 - p*y - 7*y**2 + 4*y.
y*(y - 2)*(y - 1)**3
Let k(y) be the third derivative of -y**5/60 - y**4/8 - y**3/3 - 10*y**2 - 2. Factor k(u).
-(u + 1)*(u + 2)
Let h(x) be the first derivative of -88*x**4/3 - 208*x**3/9 - 19*x**2/3 - 2*x/3 + 27. Factor h(g).
-2*(4*g + 1)**2*(11*g + 1)/3
Let s(i) be the second derivative of -1/2*i**3 + 0 + 0*i**2 + i - 1/4*i**4. Find m, given that s(m) = 0.
-1, 0
Suppose -23 + 3 = -5*g. Let l(p) be the second derivative of 0*p**2 + 0*p**g + 0 - 1/6*p**3 + 1/20*p**5 + 2*p. Factor l(d).
d*(d - 1)*(d + 1)
Let k(w) be the first derivative of 31/20*w**4 - 1