What is i in n(i) = 0?
3
Let m = 1271/196 + 13/49. Suppose -3 - 9/2*s**2 - 3/4*s**3 - m*s = 0. What is s?
-4, -1
Let y be (3 - 48/20)*15/108. Let r(h) be the second derivative of -8*h - 1/3*h**3 + 0 + y*h**4 + 1/2*h**2. Factor r(q).
(q - 1)**2
Let o = -1/210 - -6/35. Let j(a) be the third derivative of -a**2 + 0*a - o*a**3 + 1/24*a**4 + 0 - 1/240*a**5. Let j(r) = 0. Calculate r.
2
Let m(r) be the third derivative of -r**7/42 - 13*r**6/60 + 5*r**5/12 + r**4/4 - 3*r**2 + 47. Factor m(a).
-a*(a - 1)*(a + 6)*(5*a + 1)
Let z(a) = a - 4 + 16 + 0*a - 6. Let d be z(-3). Suppose -3*x**2 - 9/2*x - 1/2*x**d + 0 = 0. What is x?
-3, 0
Let a(y) be the first derivative of -y**6/9 + 8*y**5/15 - 2*y**4/3 + 128. Determine p, given that a(p) = 0.
0, 2
Suppose 4*n - a = -0*a + 88, 4*n = -a + 96. Factor 33*c**5 - 6*c**2 + 6*c**4 - n*c**5 + 3*c - 13*c**5.
-3*c*(c - 1)**3*(c + 1)
Factor 11/4*q + 0 - 1/4*q**2.
-q*(q - 11)/4
Let a be (6/(-8))/((-9)/1686). Let v = 141 - a. Factor -1/4*p**2 - 1/4*p + v.
-(p - 1)*(p + 2)/4
Let y(o) be the first derivative of -1/14*o**2 + 0*o + 10 - 1/21*o**3. Factor y(b).
-b*(b + 1)/7
Let g(v) be the third derivative of v**5/15 + 5*v**4 + 150*v**3 - 127*v**2. Factor g(m).
4*(m + 15)**2
Let d be (10/6)/((-2)/2)*-3. Factor -42*g**3 - 5*g**4 + g**d + g**5 - 48*g**2 - 5*g**5 - 13*g**4 - 27*g - 6.
-3*(g + 1)**4*(g + 2)
Let v = -49 + 47. Let f(a) = -4*a**3 + 9*a**2 - 4*a + 3. Let t(x) = -x - 1. Let u(r) = v*f(r) - 4*t(r). Determine k, given that u(k) = 0.
1/4, 1
Suppose -2*a - 3*a + 30 = 0. Let i(s) = -2*s**2 - 2*s - 3. Let v(g) = -3 - g**2 + 4 + 2*g**2. Let o(m) = a*v(m) + 2*i(m). Solve o(k) = 0.
0, 2
Suppose 97*k + 8 = 101*k. Let w(l) be the first derivative of -4/5*l**5 - 3 + 1/3*l**6 + 4/3*l**3 + 0*l - l**k + 0*l**4. Suppose w(o) = 0. Calculate o.
-1, 0, 1
Suppose -3*o + 2*o + 4 = -u, -5*o = -7*u - 28. Factor 0*i + 2/3*i**2 - 5/3*i**3 - 1/3*i**5 + o + 4/3*i**4.
-i**2*(i - 2)*(i - 1)**2/3
Suppose 3 - 19 = -2*q + 4*c, 0 = -3*c. Factor -8 - 36*p**3 - 16*p**2 + 11*p - q*p**2 + 7.
-(p + 1)*(6*p - 1)**2
Let r = -37 + 25. Let b = r + 14. Suppose m**4 + 0*m**b + 2 - 1 - 2*m**2 = 0. What is m?
-1, 1
Factor -25 - 60*w - 5 + 22 + 3*w**2 + 65.
3*(w - 19)*(w - 1)
Let f be ((-16)/(-14) - 1) + (-870)/14. Let x = -184/3 - f. Factor 2 - x*n**2 + 4/3*n.
-2*(n - 3)*(n + 1)/3
Let i(j) be the third derivative of j**8/336 + j**7/315 - j**6/120 - j**5/90 + 80*j**2. Determine g, given that i(g) = 0.
-1, -2/3, 0, 1
Let v = 635319/14 + -45311. Let c = v + -137/2. Determine g so that -6/7*g + 0 - c*g**3 + 9/7*g**2 = 0.
0, 1, 2
Let f be (-2998)/(-70) + (-31 - -27). Let y = -192/5 + f. What is i in -y*i**3 + 6/7*i - 3/7*i**2 + 0 = 0?
-2, 0, 1
Solve 8*h - 8 - 17*h + 5*h**2 - 6*h**2 = 0 for h.
-8, -1
Let n be (57/(-19))/(0 - 1). Factor 7*b**2 + 9*b**3 + 160 - 35*b**2 - 4*b**n - 2*b**2.
5*(b - 4)**2*(b + 2)
Suppose 90 - 12*i + 2/5*i**2 = 0. What is i?
15
Let l(o) be the third derivative of o**8/84 - 2*o**7/15 + o**6/2 - 3*o**5/5 - 194*o**2. Find f, given that l(f) = 0.
0, 1, 3
Let x(o) be the third derivative of -o**5/20 + o**4/4 + 12*o**3 + o**2 + 28. Let x(h) = 0. What is h?
-4, 6
Suppose 2*a + z - 2 = 6, a = -4*z + 18. Suppose -2*m - a*q - 2 = -0*m, -2*q - 9 = -5*m. Factor 0 - 2*l**2 + m - 3 - l + 5*l.
-2*(l - 1)**2
Let n = 3692 + -25812/7. Find s such that -n*s**3 - 1/7*s**5 + 16/7 + 8*s**2 - 48/7*s + 9/7*s**4 = 0.
1, 2
Let y = -404 - -407. Let g(v) be the first derivative of v**y + 3/10*v**5 - 1/2*v**2 + 0*v - 13/16*v**4 - 1/24*v**6 + 2. Determine c, given that g(c) = 0.
0, 1, 2
Let i(h) be the third derivative of 7*h**6/1800 + h**5/120 - h**4/60 - 5*h**3/6 - 43*h**2. Let d(v) be the first derivative of i(v). Find l such that d(l) = 0.
-1, 2/7
Suppose v - 24 = -v. Suppose r = -v - 0. Let m(n) = n**3 - n**2 - n + 1. Let q(z) = 15*z**3 - 18*z**2 - 9*z + 12. Let s(l) = r*m(l) + q(l). Factor s(k).
3*k*(k - 1)**2
Let m(k) = 6*k**2 + 10*k + 0*k**2 - 4*k**2 - k**2 + 5. Let y be m(-10). Solve -1/2*c**2 - 2 + 1/2*c**y + 4*c + 1/2*c**4 - 5/2*c**3 = 0.
-2, 1
Let a(s) = -s**2 + 2*s**3 + 2 + 3 + 9*s**2 - 3*s**3. Let k be a(8). Find z such that -2*z**k - 4*z - 19*z**3 - 14*z**2 + 6*z**3 - 5*z**3 - 10*z**4 = 0.
-2, -1, 0
Let y(f) be the second derivative of f**6/150 - 3*f**4/20 + 2*f**3/15 + 6*f**2/5 + f + 11. Find m, given that y(m) = 0.
-3, -1, 2
Let y(w) be the second derivative of -1/3*w**3 - 1/5*w**5 - 12*w + 0 + 1/30*w**6 + 5/12*w**4 + 0*w**2. Factor y(i).
i*(i - 2)*(i - 1)**2
Factor 13*s**2 - 27*s - 90 + 77*s**2 - 23*s**3 + 18*s**3 + 32*s.
-5*(s - 18)*(s - 1)*(s + 1)
Let o(k) be the second derivative of 9*k**5/5 + 10*k**4/3 - 14*k**3/3 - 16*k**2 - 8*k. Factor o(x).
4*(x + 1)**2*(9*x - 8)
Let 81*n**2 + n**4 - 45*n**2 - 37*n**2 = 0. What is n?
-1, 0, 1
Let m(w) be the third derivative of -7*w**6/120 - w**5/2 - 29*w**4/24 - w**3 - 85*w**2. Let m(d) = 0. Calculate d.
-3, -1, -2/7
Let f(h) be the first derivative of -3/5*h**5 - 6*h**3 + 6*h**2 - 3*h - 15 + 3*h**4. Let f(u) = 0. What is u?
1
Let d = -163/2 + 83. Let u = 6934 + -6934. Find y, given that -3/2*y + 0 + d*y**3 + u*y**2 = 0.
-1, 0, 1
Let p(x) be the third derivative of 0 - 1/165*x**5 + 0*x**3 + 0*x**4 + 0*x + 15*x**2 - 3/220*x**6 - 1/165*x**7. Factor p(u).
-2*u**2*(u + 1)*(7*u + 2)/11
Suppose -5*q - 155 = -0*q. Let w = 62 + q. Let w*x + 4*x**2 - x**5 - 31*x - 3*x**4 = 0. Calculate x.
-2, 0, 1
Let p(m) = 5*m**3 + 15*m**2 + 18*m + 6. Let j(w) = w**3 + w**2 + 2. Let h(a) = -3*j(a) + p(a). Let h(q) = 0. Calculate q.
-3, 0
Let x(k) be the second derivative of k**4/3 + 2*k**3 + 4*k**2 - 2*k - 46. Factor x(n).
4*(n + 1)*(n + 2)
Let n = 5675 - 5671. Factor 15/2*x + 5*x**3 - 10*x**2 - 2 - 1/2*x**5 + 0*x**n.
-(x - 1)**4*(x + 4)/2
Suppose 5*w - 141 = -126. Let b(r) be the second derivative of 3/2*r**w + r + 5/4*r**4 - 3*r**2 + 0. Suppose b(q) = 0. What is q?
-1, 2/5
Suppose -44 = -72*u + 61*u. Factor 2/5*n**5 + 8/5*n**3 - 8/5*n**u + 4/5 + 4/5*n**2 - 2*n.
2*(n - 2)*(n - 1)**3*(n + 1)/5
Let i(j) be the second derivative of 35*j**4 + 0 - 55/2*j**5 + 2*j + 25/3*j**6 + 8*j**2 - 68/3*j**3. What is z in i(z) = 0?
2/5, 1
Let d be 3/2*((4 - -9) + -11). Suppose 0 + 3/2*c**d + 12*c**2 + 24*c = 0. Calculate c.
-4, 0
Let s be 5*(-9 + 423/(-45)*-1). Factor w + 1/3*w**s + 0.
w*(w + 3)/3
Let j(y) be the second derivative of -1/3*y**3 - 1/4*y**4 - 1/20*y**5 - 9*y + 0*y**2 + 0. Solve j(t) = 0.
-2, -1, 0
Factor -12/17*u**2 - 26/17 + 38/17*u.
-2*(u - 1)*(6*u - 13)/17
Let o(i) = -8*i**4 - 35*i**3 - 41*i**2 + 216*i - 5. Let g(h) = 7*h**4 + 34*h**3 + 40*h**2 - 216*h + 4. Let a(w) = 5*g(w) + 4*o(w). Factor a(x).
3*x*(x - 2)*(x + 6)**2
Suppose 0 = 2*z + 16 - 56. Let u = z - 18. Factor 3*a**3 - 20*a + 6*a**u - 3*a**4 - 16*a + 36*a.
-3*a**2*(a - 2)*(a + 1)
Let l be 25/195 + (-1 - 16/(-12)). Factor 0*n**3 + 2/13*n**4 - 16/13*n - 12/13*n**2 - l.
2*(n - 3)*(n + 1)**3/13
Let c = 31 - 39. Let a(o) = -4*o**2 - 32*o. Let d be a(c). Factor d + 9/4*f + 3/4*f**2.
3*f*(f + 3)/4
Suppose 1 = -z + 5. Factor -98*b + 235*b - 81*b - 196 - z*b**2.
-4*(b - 7)**2
Let d be 0*(10/3)/(-10). Let t(s) be the third derivative of 0 - 5*s**2 - 1/24*s**4 + d*s**3 + 1/60*s**5 + 0*s. Solve t(g) = 0 for g.
0, 1
Let q(u) be the third derivative of 1/120*u**6 - u**3 + 0*u + 0 + 1/15*u**5 + 39*u**2 + 1/24*u**4. Solve q(t) = 0 for t.
-3, -2, 1
Let l = -990/7 - -142. Determine h so that 0 + 4/7*h - l*h**2 = 0.
0, 1
Let w = -1149 + 1156. Let g(z) be the second derivative of 0*z**3 + 0 + 1/10*z**5 - w*z + 1/3*z**4 + 0*z**2. Factor g(p).
2*p**2*(p + 2)
Let g = 107/33 + -502/165. Find i such that -g*i - 1/5*i**4 + 1/5*i**3 + 0 + 1/5*i**2 = 0.
-1, 0, 1
Let d(x) = x**3 + 3*x**2 + x. Let f be d(-1). Suppose -4*v + 4*w + 28 = 0, -f = 2*w - 3*w. Let -3*c**4 + 8*c**2 - v*c**2 + 6*c**2 - 3 + 0 = 0. Calculate c.
-1, 1
Let y = -3 + 3. Let x = -2/8339 - -108415/33356. Factor -1/4*u**5 - x*u**3 + y + 3*u**2 - u + 3/2*u**4.
-u*(u - 2)**2*(u - 1)**2/4
Suppose -4*x - 7 = -0*x + 5*t, x + 3*t = 0. Let u be (22 + 0)/(-2 - x). Factor u*d**5 - 100*d**4 + 39*d**4 - 296*d**4 - 169*d**5 + 240*d**3 - 36*d**2.
-3*d**2*(d + 3)*(7*d - 2)**2
Factor 110/7 - 2/7*f**2 - 108/7*f.
-2*(f - 1)*(f + 55)/7
Let u(w) be the first derivative of w**3/3 - 158*w**2 + 24964*w + 498. Factor u(c).
(c - 158)**2
Let n(b) be the second de