 h be p(-1). Let n be (-60)/(-36) + 1/h. Let -6*u**n + 12 + 5*u + 15*u - 4*u**3 + 10*u**2 = 0. What is u?
-1, 3
Let o = -408 + 408. Let v(w) be the first derivative of 0*w + o*w**3 + 0*w**5 + 0*w**2 - 5/6*w**6 + 5/4*w**4 + 12. Factor v(q).
-5*q**3*(q - 1)*(q + 1)
Let v(t) be the second derivative of 2/9*t**4 + 0 + 0*t**2 + 1/5*t**5 + 0*t**3 + 2/45*t**6 + 10*t. Factor v(m).
4*m**2*(m + 1)*(m + 2)/3
Let h(d) = 15*d**5 - 9*d**4 + 43*d**3 - 16*d**2 + 11. Let f(x) = -8*x**5 + 4*x**4 - 22*x**3 + 8*x**2 - 6. Let n(m) = 11*f(m) + 6*h(m). Factor n(o).
2*o**2*(o - 2)**2*(o - 1)
Suppose 22 = 3*w - 11. Suppose 5*i = 5*p - 25, -3*i = -p + 2*i - w. Factor 2 + 0*v - p*v + v + 2 + 4*v**2.
4*(v - 1)**2
Let w(j) be the third derivative of j**5/15 - 7*j**4/6 + 4*j**3 - 76*j**2. Find x, given that w(x) = 0.
1, 6
Suppose -l - 4*l - v = -63, 6 = 2*v. Suppose -l*j + 0 = -24. Suppose -2/5*a**3 + 0*a**j + 1/5*a + 0 + 0*a**4 + 1/5*a**5 = 0. Calculate a.
-1, 0, 1
Suppose 21*i - 16*i - 115 = 0. Let t be (17 - i)*(-2)/8. Factor 21/4*p**3 + 15/4*p**2 - t*p + 0.
3*p*(p + 1)*(7*p - 2)/4
Let m(z) be the third derivative of -z**8/840 - z**7/105 + 6*z**2 - 6*z. Solve m(c) = 0.
-5, 0
Factor 31/3*w - 961/6 - 1/6*w**2.
-(w - 31)**2/6
Let p be 12/(-15)*(-15 - -10). Let g(h) be the first derivative of -1/9*h**3 - 3 + 1/12*h**p + 0*h**2 + 0*h. Factor g(c).
c**2*(c - 1)/3
Suppose -5*s + 0*s = 3*a + 2, 4*s + 4*a + 8 = 0. Let y = -2993 + 2993. Factor -1/4*p**s + 1/4 + y*p.
-(p - 1)*(p + 1)/4
Let x(s) be the second derivative of s**6/150 - s**5/50 - s**4/20 + 4*s**3/15 - 2*s**2/5 - 89*s. Factor x(k).
(k - 2)*(k - 1)**2*(k + 2)/5
Suppose 11 = 5*h + j, 5 + 5 = 4*h + 2*j. Suppose n = 5, 4*y + y - 50 = -h*n. Factor 0*w - 6*w - y*w**2 + 8*w**4 + 2*w + 4*w**5.
4*w*(w - 1)*(w + 1)**3
Let f(v) be the first derivative of -2*v**5/65 - v**4/13 + 86. Let f(i) = 0. Calculate i.
-2, 0
Let j(l) be the first derivative of -2*l**5/5 + 3*l**4/2 + 10*l**3/3 - 3*l**2 - 8*l - 129. Suppose j(s) = 0. What is s?
-1, 1, 4
Let -2/17*y**4 - 4032/17*y - 72/17*y**3 - 872/17*y**2 - 6272/17 = 0. What is y?
-14, -4
Let f(p) = -1053*p - 8422. Let d be f(-8). Let 4*q**d + 2/3*q**3 + 0 + 6*q = 0. Calculate q.
-3, 0
Let l(x) = 11*x + 35. Let a be l(-5). Let q be (-4)/6*(a/7 - -2). Solve 2/7*h**3 - 6/7*h**2 + 0 + q*h = 0.
0, 1, 2
Let p(x) be the third derivative of -1/8*x**3 - 7/96*x**4 + 20*x**2 + 0 + 0*x - 1/48*x**5 - 1/480*x**6. Determine c, given that p(c) = 0.
-3, -1
Determine h so that 7/2*h + 13/2 + 1/8*h**2 = 0.
-26, -2
Let d(w) = 6*w**3 + 17*w**2 - 15*w - 8. Suppose 0 = 4*o + 11 + 13. Let k(r) = -6*r**3 - 16*r**2 + 14*r + 8. Let y(m) = o*d(m) - 7*k(m). Solve y(l) = 0.
-2, -2/3, 1
Let f(u) be the third derivative of 0*u + 1/33*u**4 + 0*u**3 + 1/660*u**6 + 0 + 2/165*u**5 + 42*u**2. Factor f(d).
2*d*(d + 2)**2/11
Let u(a) be the third derivative of -a**5/72 + 85*a**4/144 - 20*a**3/9 - 3*a**2 - 22. Factor u(t).
-5*(t - 16)*(t - 1)/6
Let h(x) = -7*x**2 + 3 + 2 - x**3 - 9 - 11*x + 1. Let w be h(-5). Let 6*l**3 - l**2 + 0*l**w - 5*l**3 = 0. Calculate l.
0, 1
Let -31*t**5 - 56*t**3 + 10*t**4 + 26*t**5 + 81*t**3 - 30*t**2 = 0. Calculate t.
-2, 0, 1, 3
Let z(y) = y + 22. Let f be z(0). Let c = f + -15. Suppose 2 + 6*p + c*p**2 - 6 - 9*p**2 = 0. Calculate p.
1, 2
Let o(f) be the first derivative of 37*f**5 - 4*f - 137/4*f**4 - 25/2*f**6 + 3 + 8*f**2 + 5*f**3. Let o(g) = 0. Calculate g.
-1/3, 2/5, 1
Let k(h) = h**3 + h**2 - h. Let q(s) = -s**4 + 2*s**2 - 2. Suppose -10 = 2*b - 2. Let o(d) = b*q(d) - 4*k(d). Suppose o(a) = 0. What is a?
-1, 1, 2
Let h(b) be the first derivative of 20 + 0*b + 0*b**3 + 1/2*b**4 - b**2. Factor h(n).
2*n*(n - 1)*(n + 1)
Let n(o) be the second derivative of -31*o - 1/6*o**4 + 8/5*o**2 - 2/15*o**3 - 1/50*o**5 + 0. Factor n(y).
-2*(y - 1)*(y + 2)*(y + 4)/5
Let l be 4 - 39/9 - (-3 + 2). Let v = 33 + -33. Factor v + l*i**2 - 1/6*i**3 + 0*i.
-i**2*(i - 4)/6
Let w = -24 + 10. Let n = w + 18. Factor 0*g**4 - 2*g**3 - 3*g**2 + 4 + 2*g**n + 2*g**4 + 4*g - 3*g**4.
(g - 2)**2*(g + 1)**2
Suppose 0 = -5*u + 42 + 53. Suppose 1 = -6*d + u. Factor 1/3*w**d + 0 - 2/3*w**2 + w**4 + 0*w.
w**2*(w + 1)*(3*w - 2)/3
Factor -4*r**3 - 34*r**3 + 16*r**2 + 4816*r - 4808*r + 14*r**4.
2*r*(r - 2)*(r - 1)*(7*r + 2)
Let o be (-3)/((-9)/(-5)) - 31781/(-7815). Let 3*f**2 - o*f - 3/5 = 0. What is f?
-1/5, 1
Let w(l) = -l**3 + 10*l**2 - 10*l + 13. Let i be w(9). Suppose 0 = -3*f + 5 + i. Factor 3*b**2 + 4*b - 2*b**2 - 5*b + f*b**4 + 5*b**3 + 0*b.
b*(b + 1)**2*(3*b - 1)
Let q(r) be the third derivative of r**6/120 + r**5/30 - 96*r**2 + r. What is i in q(i) = 0?
-2, 0
Suppose 170*t**4 - 46*t**2 - 23*t + 5*t**3 - 138*t**4 + 26*t**3 - 5*t**5 + 14 - 3*t**3 = 0. What is t?
-1, 2/5, 1, 7
Let i(j) = j**2 + j. Let t(c) = 3*c**2 - 17*c. Let m be (-3 - -2 - -1) + 0 + 2. Let y(u) = m*i(u) + t(u). Factor y(l).
5*l*(l - 3)
Let d = 217/3 + -72. Let m(i) be the second derivative of -1/21*i**7 + 0 - 1/3*i**4 + i**2 - d*i**3 + 1/5*i**5 + 1/15*i**6 + 5*i. Factor m(u).
-2*(u - 1)**3*(u + 1)**2
Let r(z) be the third derivative of -z**7/945 + z**6/54 - 4*z**5/135 - 5*z**4/54 + z**3/3 - 18*z**2 - 3. Suppose r(i) = 0. Calculate i.
-1, 1, 9
Let n(y) be the third derivative of -y**6/360 - y**5/20 - 5*y**4/18 - 2*y**3/3 - 136*y**2. Determine w so that n(w) = 0.
-6, -2, -1
Let o(y) be the second derivative of 14*y - 1/42*y**4 + 1/21*y**3 + 0 + 2/7*y**2. Factor o(r).
-2*(r - 2)*(r + 1)/7
Suppose -2*b - o = -9, -5*o - 3 = b - 30. Let t(a) be the first derivative of b*a + 1/3*a**3 - 3 + 3/2*a**2. Suppose t(z) = 0. What is z?
-2, -1
Let w(p) be the second derivative of p**6/60 + 3*p**5/16 + 3*p**4/8 - 8*p**3/3 - 12*p**2 + 912*p. What is k in w(k) = 0?
-4, -3/2, 2
Suppose -2*q - 6 = -5*f, -5*f - 3*q + 2*q = 3. Suppose -i = h + 7, -15*h + 4*i + 26 = -2. Factor -2/21*l**5 + 0*l**3 + h + 0*l - 2/21*l**4 + f*l**2.
-2*l**4*(l + 1)/21
Let s(y) = y**3 + 15*y**2 + 10*y - 4. Let j(b) = -7*b**2 - 5*b + 2. Let h(k) = -7*j(k) - 3*s(k). Factor h(w).
-(w - 2)*(w + 1)*(3*w - 1)
Let o(k) be the third derivative of k**8/1512 + k**7/945 - k**6/540 - k**5/270 - 299*k**2. Factor o(m).
2*m**2*(m - 1)*(m + 1)**2/9
Suppose 5*q + o = q + 13, 5*q - 3*o + 5 = 0. What is k in -4 + 4*k**q + 2 - 4*k - 9 + 3 = 0?
-1, 2
Factor -8*n - 2*n**3 - 3*n**4 + 9*n**2 - 6 + 11*n - n**3.
-3*(n - 1)**2*(n + 1)*(n + 2)
Let j = -1 - -1. Let s(v) be the third derivative of 1/60*v**4 + 0*v - v**2 + 1/150*v**5 + j + 0*v**3. Suppose s(f) = 0. Calculate f.
-1, 0
Let q(n) = -325*n + 327. Let w be q(1). Solve -27/5 + 1/5*r**3 + 3/5*r**w - 9/5*r = 0 for r.
-3, 3
Let w(g) be the third derivative of -4/15*g**3 - 1/840*g**8 - 1/150*g**5 - 8 + 0*g + 2/15*g**4 - 7/300*g**6 + 1/105*g**7 + 2*g**2. Find n, given that w(n) = 0.
-1, 1, 2
Let g(j) = -j**5. Let p(s) = 2*s**3 + 224*s**2 - 218*s**2 - 4*s + 29 - 29 - 6*s**4. Let d be (0 + 1)/(1/1). Let t(b) = d*p(b) - 2*g(b). Factor t(o).
2*o*(o - 2)*(o - 1)**2*(o + 1)
Let s be 0 - 1 - ((-11)/(-22))/((-4)/8). Let -1/4*l**3 + 1/8*l**4 + s*l + 0 + 1/8*l**2 = 0. What is l?
0, 1
Let b(g) be the second derivative of -1/10*g**5 - 12*g + 1/3*g**3 + 2/7*g**2 + 0 - 1/21*g**4. Solve b(h) = 0 for h.
-1, -2/7, 1
Factor 0 + 1/6*o**5 + 0*o - 1/6*o**4 + 0*o**2 + 0*o**3.
o**4*(o - 1)/6
Suppose 0 = -8*w + 20*w + 12. Let f(g) = -5*g**2 - 23*g. Let o(h) = -h. Let t(s) = w*f(s) + 3*o(s). Factor t(n).
5*n*(n + 4)
Let i(u) be the second derivative of -u**7/126 + 2*u**6/45 + u**5/60 - u**4/9 - 190*u. What is a in i(a) = 0?
-1, 0, 1, 4
Let s(c) be the second derivative of c**6/80 - c**5/10 + 5*c**4/16 - c**3/2 - c**2 - c. Let n(r) be the first derivative of s(r). Factor n(f).
3*(f - 2)*(f - 1)**2/2
Factor k - 12508*k**3 + 5*k**4 + 4*k**5 + 12509*k**3 - k.
k**3*(k + 1)*(4*k + 1)
Let k(z) be the first derivative of -4*z**5 + 0*z - 16 + 5/6*z**6 + 20/3*z**3 + 5/2*z**4 - 15/2*z**2. Solve k(v) = 0 for v.
-1, 0, 1, 3
Let o(a) = -4*a**2 + 16 - a**3 - 4*a**2 + 486*a - 484*a. Let j be o(-8). Let 0 + 0*l + j*l**3 + 0*l**2 + 8/5*l**5 - 2/5*l**4 = 0. What is l?
0, 1/4
Determine u, given that 10*u - 32/3 + 2/3*u**2 = 0.
-16, 1
Let k(z) be the third derivative of -z**8/3360 - 3*z**7/700 - z**6/80 - 7*z**5/600 + 30*z**2. Factor k(j).
-j**2*(j + 1)**2*(j + 7)/10
Let u be 1/(-2)*(7 + -17). Determine g, given that -6*g