 -3*n - 3, -2*n = -b*v + 14. Solve -4*i + 0*i**3 - 2*i**3 - 2*i**5 + 4*i**v + 4*i = 0.
0, 1
Let r(b) be the first derivative of 3*b**5/10 - 3*b**4/8 - 3*b**3/2 + 15*b**2/4 - 3*b + 32. Factor r(w).
3*(w - 1)**3*(w + 2)/2
Suppose -5*c + a + 31 = 5*a, -5*a + 32 = 4*c. Let z be 2/6 - (-3)/(-9). Factor z - 3*l**4 - 6*l**c + 2*l + 3 + 4*l.
-3*(l - 1)*(l + 1)**3
Let o(j) = j**3 + j**2 - 4*j - 3. Let i be o(-2). Let r be i + 1 + (-64)/36. Factor -2/9*f**2 + 2/9 - 2/9*f + r*f**3.
2*(f - 1)**2*(f + 1)/9
Let l be 3/4*32/12. Factor 0 + 0*d - 2/11*d**3 - 2/11*d**l.
-2*d**2*(d + 1)/11
Let l(c) be the second derivative of c**6/135 - 7*c**5/45 + 2*c**4/3 - 34*c**3/27 + 11*c**2/9 + 13*c. Find w, given that l(w) = 0.
1, 11
Let c be (-3 + 6 + 0)/1. Suppose -6 = 3*p + q + 2*q, -4 = -c*p - q. Factor 1/3*k + 0*k**2 - 1/3*k**p + 0.
-k*(k - 1)*(k + 1)/3
Let i be (9/(-30))/(3/(-2)). Let w(m) be the second derivative of -2*m + 0 + 7/12*m**4 - 1/2*m**2 - i*m**5 - 1/3*m**3. Find p, given that w(p) = 0.
-1/4, 1
Let z(a) be the first derivative of -a**6/1260 + a**5/70 - 3*a**4/28 + 7*a**3/3 + 4. Let v(f) be the third derivative of z(f). Let v(n) = 0. Calculate n.
3
Let f(p) be the second derivative of p**7/126 - p**6/90 - p**5/30 + p**4/18 + p**3/18 - p**2/6 + 32*p. Determine w so that f(w) = 0.
-1, 1
Let k(u) be the third derivative of u**6/720 + u**5/360 - u**4/144 - u**3/36 + 4*u**2. Factor k(f).
(f - 1)*(f + 1)**2/6
Let t(h) be the first derivative of -4*h**4 - 5 + 0*h**2 + 112/5*h**5 + 0*h + 0*h**3 - 98/3*h**6. Suppose t(u) = 0. What is u?
0, 2/7
Let m(p) = p + 19. Let w be m(-19). Let h(r) be the second derivative of w*r**3 + 0*r**2 + r + 0*r**6 + 1/20*r**5 + 0 + 0*r**4 - 1/42*r**7. Factor h(x).
-x**3*(x - 1)*(x + 1)
Let j(i) = i**2 + 3*i. Let c be j(-3). Let s(h) = -3*h - 52. Let y be s(-18). Factor 0*m + 0*m**3 + 1/5*m**5 + 1/5*m**4 + c + 0*m**y.
m**4*(m + 1)/5
Suppose -6 = -2*t, 2*c + 3*c + t = 13. Let b(a) be the second derivative of 0 + 5/6*a**4 - 1/5*a**5 - 4/3*a**3 - 2*a + a**c. What is o in b(o) = 0?
1/2, 1
Let j(u) be the second derivative of -u**3/6 - 4*u. Let t(b) = -2*b**2 - 10*b - 18. Let f(k) = -2*j(k) - t(k). Solve f(m) = 0.
-3
Let j be (-6)/4*(132/(-81))/11. Let h(d) be the second derivative of j*d**4 - 4*d + 1/9*d**3 + 0 + 0*d**2. Factor h(t).
2*t*(4*t + 1)/3
Let s = 4 - 8. Let h(p) = -p**5 + p**4 + p**3 - p**2 - 5*p. Let r(m) = -m**5 + m**4 + m**3 - m**2 - 4*m. Let g(v) = s*h(v) + 5*r(v). Let g(f) = 0. What is f?
-1, 0, 1
Let w(y) = -y**3 - y**2 + 5*y - 7. Let z be w(5). Let m be z/(-20) + -3 - 3. Let -3/5*s - 1/5*s**3 - 1/5 - m*s**2 = 0. What is s?
-1
Find u, given that 2/7 - 4/7*u + 2/7*u**2 = 0.
1
Let p(s) be the first derivative of s**4/16 + s**3/2 + 9*s**2/8 - 4*s + 5. Let t(j) be the first derivative of p(j). Solve t(w) = 0 for w.
-3, -1
Let b(f) = 2*f**4 + 7*f**3 - 11*f**2 - f + 3. Let p(i) = 7*i**4 + 28*i**3 - 45*i**2 - 3*i + 13. Let j(t) = 26*b(t) - 6*p(t). Determine l so that j(l) = 0.
-2, -2/5, 0, 1
Let k = -8/43 + 161/172. Factor -k*q**2 + 1/2 + 1/4*q.
-(q - 1)*(3*q + 2)/4
Suppose -c = -2*c + 4. Suppose -4*i + 16 = 5*g, -20 = -c*g + i - 6*i. Factor g - 1/3*q + q**2.
q*(3*q - 1)/3
Let d(a) be the third derivative of -a**6/8 + 7*a**5/12 - 25*a**4/24 + 5*a**3/6 + 18*a**2. Suppose d(p) = 0. What is p?
1/3, 1
Let j = 11 + -7. Factor -t**4 - 2*t**j + 2*t**4 + t - t**3 + t**2.
-t*(t - 1)*(t + 1)**2
Let q be 4/30 - (-56)/105. What is a in -q*a**2 + 0*a + 2/3 = 0?
-1, 1
Let h(y) be the third derivative of -y**5/330 + y**4/132 - 2*y**2. Factor h(i).
-2*i*(i - 1)/11
Let r = 257/3 - 85. Let 0*a + 2/3*a**2 - r = 0. Calculate a.
-1, 1
Let z be (-20)/(-28)*(-2)/(-5). Let a(k) be the first derivative of -3/14*k**4 - z*k**3 - 1/7*k**2 + 0*k - 2/35*k**5 - 2. Factor a(j).
-2*j*(j + 1)**3/7
Let l(w) be the third derivative of -w**6/180 - 2*w**5/45 + 20*w**2. Suppose l(i) = 0. What is i?
-4, 0
Let i = 24 + -19. Let b(y) be the first derivative of -y**2 + 1 - 2*y**i - 6*y**3 + 4*y + 13/2*y**4. Factor b(p).
-2*(p - 1)**3*(5*p + 2)
Let t(h) be the third derivative of -h**5/90 + h**4/36 + 7*h**2. Solve t(k) = 0 for k.
0, 1
Let f(b) be the first derivative of -4/15*b**3 + 1/50*b**5 - 1/300*b**6 + 1 + 0*b**4 + 0*b + b**2. Let m(l) be the second derivative of f(l). Factor m(a).
-2*(a - 2)**2*(a + 1)/5
Let t be -2 - (464/(-228) + 0). Let w = t - -53/114. Find m, given that -1/2*m**2 + 1 - w*m = 0.
-2, 1
Let b = 7/846 + 6131/76986. Let n = b + 10/13. Factor 4/7*g**3 + 2/7*g + 0 + n*g**2.
2*g*(g + 1)*(2*g + 1)/7
Solve 7*l**3 + 4*l**4 + 5*l**3 - 12*l**2 - 4*l**2 = 0 for l.
-4, 0, 1
Let n = 5843279 - 10149776027/1737. Let i = -2/193 - n. Suppose 0*j + 0 + i*j**2 + 4/9*j**3 = 0. What is j?
-1/2, 0
Let i(v) be the third derivative of -v**6/300 + 3*v**5/50 - v**4/4 + 7*v**3/15 - 21*v**2. Factor i(d).
-2*(d - 7)*(d - 1)**2/5
Let v = 4 + -2. Let j(f) be the third derivative of 1/75*f**5 + 0*f + 0*f**3 + 0*f**4 + 0 + v*f**2 - 1/300*f**6. Determine z, given that j(z) = 0.
0, 2
Let s = 184/285 - -2/95. Let p = 117 - 343/3. Factor 8/3*y + p*y**3 + 4*y**2 + s + 2/3*y**4.
2*(y + 1)**4/3
Let b(z) be the first derivative of -z**4/40 + 2*z**3/15 + 3*z**2/20 - 9*z/5 + 24. Factor b(h).
-(h - 3)**2*(h + 2)/10
Let j be (-1 + (4 - 3))/(-1)*-1. Solve 0*o**2 + 0*o**3 + 0*o + j + 1/3*o**5 + 0*o**4 = 0.
0
Let j(z) be the third derivative of -1/60*z**6 - 2/15*z**5 - 1/3*z**4 + 0 + 0*z - 3*z**2 + 0*z**3. Suppose j(w) = 0. Calculate w.
-2, 0
Let o be 8/70*(-63)/(-18). Factor -o*v**2 + 0*v + 2/5.
-2*(v - 1)*(v + 1)/5
Let w(r) = -3*r**2 + 9*r - 6. Let i be ((-6)/4)/(9/24). Let n(m) = 9*m**2 - 27*m + 18. Let p(f) = i*n(f) - 11*w(f). Factor p(q).
-3*(q - 2)*(q - 1)
Suppose 1/12 - 1/12*g**3 - 1/12*g**2 + 1/12*g = 0. Calculate g.
-1, 1
Let r(q) = 18*q**4 + 8*q**3 - 18*q**2 + 18*q + 26. Let b(w) = -2*w**4 - w**3 + 2*w**2 - 2*w - 3. Let t(n) = 52*b(n) + 6*r(n). Suppose t(y) = 0. Calculate y.
-1, 0, 1
Let q = 18 - 13. Let p(o) be the third derivative of 0*o + o**2 + 0 - 1/36*o**4 + 0*o**3 - 1/30*o**q. Let p(t) = 0. Calculate t.
-1/3, 0
Suppose -d - 2*d = 48. Let s be -2 - (d/6)/1. Solve s*o + 0 - 1/3*o**2 = 0 for o.
0, 2
Let y(i) be the second derivative of i**6/15 + 3*i**5/10 + i**4/2 + i**3/3 - 10*i. What is g in y(g) = 0?
-1, 0
Suppose 25 = -3*v - l, -3*l - 6 = -3*v - 39. Let z be 1 - (-3)/(v/2). Suppose -1/3 - z*f**3 + 1/3*f**2 + 1/3*f = 0. Calculate f.
-1, 1
Let f(i) = 3*i - 13. Let w be f(5). Let b(a) be the second derivative of -3*a + 1/2*a**w + 0 + 0*a**3 - 1/12*a**4. Solve b(m) = 0.
-1, 1
Let s(o) be the first derivative of 3*o**4 - 8*o - 2/5*o**5 - 3 + 12*o**2 - 26/3*o**3. Solve s(j) = 0.
1, 2
Let c(g) = -10*g + 72. Let i be c(7). Solve 8*p - i + 19/2*p**3 - 25/2*p**2 + 1/2*p**5 - 7/2*p**4 = 0 for p.
1, 2
Factor 2*v - 2*v**5 + 5*v**4 + 3*v**4 - 2*v**5 + 2*v - 8*v**2.
-4*v*(v - 1)**3*(v + 1)
Let x(s) be the second derivative of -2*s**6/15 + 2*s**5/5 - s**4/3 - 23*s. What is y in x(y) = 0?
0, 1
Let k(g) be the third derivative of g**5/270 - g**4/18 + g**3/3 + 2*g**2. Suppose k(h) = 0. What is h?
3
Let f(i) be the first derivative of i**4/4 - i**3/3 - 10. Factor f(q).
q**2*(q - 1)
Suppose -3*m + 1 - 2 = 2*j, 4*m + 5*j + 13 = 0. Suppose 0*c**4 - 1/2*c**5 + 0*c + 1/2*c**m + 0*c**2 + 0 = 0. What is c?
-1, 0, 1
Let z = 867/2 - 402. Let -z*g**3 + 0 - 6*g + 27/2*g**4 + 24*g**2 = 0. Calculate g.
0, 2/3, 1
Let j(k) = k + 23. Let r be j(-17). Let u(z) = -9*z**3 - 2*z**2 + 7. Let f(n) = -4*n**3 - n**2 + 3. Let w(c) = r*u(c) - 14*f(c). Suppose w(m) = 0. What is m?
-1, 0
Let c(w) be the first derivative of 3*w**4/20 - w**3 + 3*w**2/5 + 24*w/5 - 31. Factor c(l).
3*(l - 4)*(l - 2)*(l + 1)/5
Let m(h) = -h**3 - h**2 + h. Let b be m(2). Let p = b - -12. Determine z, given that 1/5*z + 1/5*z**3 + 0 - 2/5*z**p = 0.
0, 1
Let s(n) be the first derivative of -1/2*n**2 + 0*n - 2/3*n**3 - 1/4*n**4 + 2. Let s(g) = 0. Calculate g.
-1, 0
Suppose -j + 2*h = -3*h + 23, -5*h + 21 = -2*j. Factor -a**j - a - 1/4.
-(2*a + 1)**2/4
Let z(r) = -r**3 - r**2 - 2*r**2 + 3*r**2. Let y(c) = -c**3 - 2*c**2 + c. Let v(a) = y(a) - 2*z(a). Factor v(b).
b*(b - 1)**2
Let q(k) be the second derivative of -121/100*k**5 + 0*k**2 + 0 + 11/15*k**4 - 2/15*k**3 + k. Factor q(t).
-t*(11*t - 2)**2/5
Let d = 10 + -8. Factor w - d*w**3 + 1 - w**4 - 