2 - q*i**2 = 0. What is i?
3
Let g be 222*13/312 - (-18)/(-2). Factor 1/4*r**2 - 1/2 - g*r.
(r - 2)*(r + 1)/4
Suppose 2*y + 6 = 0, 3*y - 128 = 4*n - 449. Let x = n - 76. Factor q + 3/2*q**x + 1/2*q**3 + 0.
q*(q + 1)*(q + 2)/2
Let k(b) = b**2 + b + 1. Let a be ((-5)/(-15))/(3/9). Let w(n) = -5*n**2 - n - 3. Let u(h) = a*w(h) + 3*k(h). Let u(s) = 0. What is s?
0, 1
Let b(d) be the second derivative of 2*d**6/15 - d**5/5 - 2*d**4 + 8*d**3/3 + 16*d**2 + 86*d. Factor b(o).
4*(o - 2)**2*(o + 1)*(o + 2)
Suppose -8*k - 12 - 20 = 0. Let y be (-10)/5 + 2 - k. Factor 2/3*u**y - 2/3*u**2 - 2/3*u**3 + 0 + 2/3*u.
2*u*(u - 1)**2*(u + 1)/3
Let k = 297 - 601. Let h = -301 - k. Suppose 2/11 - 2/11*z**5 - 4/11*z**2 - 2/11*z + 2/11*z**4 + 4/11*z**h = 0. What is z?
-1, 1
Suppose -11*k**2 + 8*k**2 - 4*k**3 + 10*k + 3*k**2 + 5*k**2 - k**3 = 0. What is k?
-1, 0, 2
Let m(i) = 6*i**3 + 14*i**2 + 119*i + 77. Let q(r) = 2*r**3 + 4*r**2 + 40*r + 26. Let s(z) = -6*m(z) + 17*q(z). Factor s(c).
-2*(c + 1)*(c + 2)*(c + 5)
Let x(a) be the second derivative of -a**4/8 + 19*a**3/12 + 85*a - 2. Suppose x(h) = 0. What is h?
0, 19/3
Solve 33/5*c**2 + 0 - 18/5*c - 12/5*c**3 = 0.
0, 3/4, 2
Factor 50/3*b - 52/3 + 2/3*b**2.
2*(b - 1)*(b + 26)/3
Let f(n) be the third derivative of n**8/1680 - n**6/180 + n**4/24 - 14*n**3/3 + 27*n**2. Let z(s) be the first derivative of f(s). Find m, given that z(m) = 0.
-1, 1
Solve 36/5*o**2 + 0 - 6/5*o**3 - 27/5*o + 1/5*o**5 - 4/5*o**4 = 0.
-3, 0, 1, 3
Suppose 14 = 3*l - f - 76, 90 = 3*l + 4*f. Factor -1 + 51*b**2 - 8 + l*b - 60*b**2.
-3*(b - 3)*(3*b - 1)
Let a(j) be the first derivative of -1/10*j**6 + 3/20*j**4 + 0*j**3 + 0*j**2 + 0*j + 10 + 0*j**5. Determine t, given that a(t) = 0.
-1, 0, 1
Let c(r) be the third derivative of -r**7/420 + 13*r**6/120 - 5*r**5/24 + 326*r**2. Factor c(j).
-j**2*(j - 25)*(j - 1)/2
Let p = 18535/24716 + 1/12358. Suppose p*u**3 - 3/4*u**2 + 0 + 0*u = 0. Calculate u.
0, 1
Factor 14/11 - 2/11*k**2 - 12/11*k.
-2*(k - 1)*(k + 7)/11
Let f = 130 + -259/2. Let r(l) be the first derivative of 0*l**2 + 5 + 0*l - f*l**3. Factor r(y).
-3*y**2/2
Let -11858/9 + 308/9*s - 2/9*s**2 = 0. Calculate s.
77
Let k be (4/(-6))/(-1 + (-38)/(-42)). Find o, given that 7*o - k*o + 5*o + 7*o + 4*o**2 = 0.
-3, 0
Let y(b) = 3*b**2 - 24*b + 120. Let q(d) = -d**2 + 7*d - 36. Let o(a) = -33*q(a) - 10*y(a). Factor o(w).
3*(w - 1)*(w + 4)
Let j(n) = -n**2 - 4*n + 14. Let g be j(-5). Factor 3*r**3 + 18*r**2 + 5*r + 9 + g + 41*r - 13*r.
3*(r + 1)*(r + 2)*(r + 3)
Suppose -66 = 5*q - 8*q. Let m = 24 - q. Let y(a) = -3*a**2 + 1. Let o(b) = b**2. Let j(s) = m*o(s) + y(s). Find w, given that j(w) = 0.
-1, 1
Let o(i) be the third derivative of i**6/840 + 17*i**5/28 + 7225*i**4/56 + 614125*i**3/42 - 232*i**2. What is x in o(x) = 0?
-85
Let r(n) be the second derivative of -5*n**4/12 - 85*n**3/6 - 5*n - 2. Factor r(d).
-5*d*(d + 17)
Let f(u) be the second derivative of 1/20*u**5 + 0 - 5/4*u**4 + 8*u**3 + 13*u + 32*u**2. Let f(v) = 0. Calculate v.
-1, 8
Let -5*i - 9/4 - 1/2*i**3 - 13/4*i**2 = 0. Calculate i.
-9/2, -1
Let b(p) = 6*p**2 - p. Let h(d) = 17*d**2 - 18*d - 56. Let v(x) = 3*b(x) - h(x). Suppose v(m) = 0. Calculate m.
-8, -7
Let b be (-47)/(15792/(-444)) - (-1)/((-14)/8). Factor 1/4*a**2 + b*a + 1/2.
(a + 1)*(a + 2)/4
Let q(g) be the second derivative of -5*g**4/12 - 115*g**3/3 - 2645*g**2/2 + 626*g. Factor q(s).
-5*(s + 23)**2
Let w(b) = b**2 + 4*b - 37. Let g be w(-9). Determine s, given that -g*s + 12*s**2 + 45 - 4*s**3 - 45 = 0.
0, 1, 2
Let w(f) = 3*f - 9. Let d be w(6). Let v be (27/(-45))/((21/60)/(-7)). Factor 2*z**2 - 18 + v*z - 5*z**2 - d*z**2 + 10*z**2.
-2*(z - 3)**2
Let l(i) = 4*i**3 - 3*i + 7. Let v(j) = -j**2 - 9*j**3 - 7*j**3 - 19 + 13*j - 10 - j**3. Let r(o) = -26*l(o) - 6*v(o). Factor r(h).
-2*(h - 2)**2*(h + 1)
Let y(h) be the first derivative of h**5/15 + 17*h**4/4 + 49*h**3/9 - 17*h**2/2 - 50*h/3 - 509. What is k in y(k) = 0?
-50, -1, 1
Let i = -12 + 12. Let j(m) be the third derivative of -1/30*m**4 + i*m + 0 - 5*m**2 + 1/50*m**5 + 1/1050*m**7 - 1/150*m**6 + 1/30*m**3. Factor j(h).
(h - 1)**4/5
Let l be -1*(-2)/10 - 24/(-30). Suppose 0 = 2*b + 2*j + 3 - l, j = 3*b - 13. Let -186/7*z**b + 46/7*z**2 - 4/7*z - 160/7*z**5 + 304/7*z**4 + 0 = 0. What is z?
0, 1/4, 2/5, 1
Let j be ((-39)/6)/(5/(-10)) - 1. Suppose j*c - 22 = c. Factor f - 1/2 - 1/2*f**c.
-(f - 1)**2/2
Let y(x) be the third derivative of -x**6/480 - 11*x**5/240 - x**4/4 + 3*x**3/2 - 65*x**2. Factor y(f).
-(f - 1)*(f + 6)**2/4
Let c(q) be the second derivative of 5*q**4/12 - 5*q**3/3 - 20*q**2 - q - 37. Find g such that c(g) = 0.
-2, 4
Let o(r) = 25*r - 30. Let t be o(6). Let d be ((30/(-88))/(-5))/(15/t). Factor -4/11 - 2/11*l**2 - d*l.
-2*(l + 1)*(l + 2)/11
Let u be -17 - (-11 + 2 + -11). Suppose 0*p - 1/5*p**u + 0 + 1/5*p**4 - 2/5*p**2 = 0. What is p?
-1, 0, 2
Let y(u) be the first derivative of u**6/360 + u**5/300 - 2*u**3/3 - 7. Let j(a) be the third derivative of y(a). Factor j(t).
t*(5*t + 2)/5
Suppose x = -3*x - 4. Let r(m) = -m + 2. Let l be r(x). Factor -h**4 - h + h**l + 0*h**3 + h.
-h**3*(h - 1)
Let j(q) = q - 4. Let v be j(13). Suppose 4*f - m = v, 19 + 8 = 5*f + 4*m. Factor -5*p**3 - 4*p**3 - 3*p**4 + 2*p**f - 3*p**2 + p**3.
-3*p**2*(p + 1)**2
Let n be 155/(-279) + (-2)/2*-1. What is f in 0 + 2/9*f**2 + n*f - 2/9*f**3 = 0?
-1, 0, 2
Let u = 1693 + -11845/7. What is h in 0 - 3/7*h + u*h**2 - 3/7*h**3 = 0?
0, 1
Let i(r) be the first derivative of r**3/12 - 21*r**2/8 - 11*r/2 + 46. Factor i(k).
(k - 22)*(k + 1)/4
Let w(r) = -r**2 - 29*r - 127. Let y be w(-22). Suppose y*x - 56 = -x. Determine u so that 2/7 + 2/7*u**3 + 6/7*u + 6/7*u**x = 0.
-1
Let r(x) be the second derivative of x**6/540 + x**5/270 - x**4/27 - 4*x**3/27 - 9*x**2 - 7*x. Let t(f) be the first derivative of r(f). Factor t(q).
2*(q - 2)*(q + 1)*(q + 2)/9
Solve 22684/15*x + 170/3*x**2 + 5618/15 + 8/15*x**3 = 0 for x.
-53, -1/4
Let r be -2 + 4 + ((-5)/1 - -2). Let i be 3 + (-2)/1 + r. Determine s so that i*s + 0*s**3 + 0*s**2 - 1/5*s**5 - 1/5*s**4 + 0 = 0.
-1, 0
Let m(l) be the first derivative of -8/3*l**3 + 0*l + 2/3*l**6 - l**4 + 0*l**2 + 8/5*l**5 + 52. Factor m(a).
4*a**2*(a - 1)*(a + 1)*(a + 2)
Suppose 0 = 7*l - 7*l - 7*l. Let o(v) be the second derivative of -1/5*v**6 + 0 + 1/14*v**7 + 3/20*v**5 + 4*v + 0*v**4 + l*v**3 + 0*v**2. Factor o(p).
3*p**3*(p - 1)**2
Let k(z) be the second derivative of z**6/30 - z**5/4 + z**4/6 + 10*z**3/3 - 12*z**2 + z - 4. Factor k(a).
(a - 3)*(a - 2)**2*(a + 2)
Let t = 16 + -19. Let s be -1 + 6 + 9/t. Factor -3 + 105*z**2 - 1 - 101*z**s.
4*(z - 1)*(z + 1)
Determine u so that 30/11*u - 2/11*u**2 + 0 = 0.
0, 15
Let w(n) = -103*n + 105. Let f be w(1). Solve 6/5*q**4 + 2/5*q**2 + 0 - f*q**3 + 2/5*q = 0 for q.
-1/3, 0, 1
Let n be ((-10)/(-8) + -1)/(351/156). Let q(p) be the third derivative of 1/40*p**6 - 1/8*p**4 + 1/90*p**5 - n*p**3 + 0*p + 0 - 4*p**2. Factor q(r).
(r - 1)*(r + 1)*(9*r + 2)/3
Let l(p) = -36*p**4 - 42*p**3 + 48*p**2 + 153*p + 69. Let k(f) = -5*f**4 - 6*f**3 + 7*f**2 + 22*f + 10. Let m(q) = 15*k(q) - 2*l(q). What is o in m(o) = 0?
-2, -1, 2
Let g(u) = u**4 + u + 1. Let k(s) = -4*s**4 + 5*s**3 - 8*s**2 + s - 3. Let m(t) = 6*g(t) + 2*k(t). Factor m(c).
-2*c*(c - 2)**2*(c - 1)
Let j(s) be the first derivative of 8*s**6/3 - 168*s**5/5 + 609*s**4/4 - 913*s**3/3 + 300*s**2 - 144*s + 249. Solve j(r) = 0 for r.
3/4, 1, 4
Let u(n) be the first derivative of -n**8/210 - n**7/140 + n**6/20 - n**5/30 + 25*n**3/3 - 1. Let j(p) be the third derivative of u(p). Solve j(i) = 0 for i.
-2, 0, 1/4, 1
Let u(a) be the second derivative of a**5/30 + 7*a**4/9 + 32*a**3/9 - 128*a**2/3 + a - 7. Factor u(l).
2*(l - 2)*(l + 8)**2/3
Suppose 0 = 7*o - 13*o. Let w(y) be the third derivative of 0*y**4 - 4*y**2 - 1/120*y**5 + o - 1/240*y**6 + 0*y**3 + 0*y. Let w(r) = 0. Calculate r.
-1, 0
Let w(j) = j**4 - j**3 + 4. Let o(b) = 6*b**4 + 3*b**3 - 3*b**2 - 6*b + 12. Let r(h) = o(h) - 3*w(h). Factor r(p).
3*p*(p - 1)*(p + 1)*(p + 2)
Factor -27*k + 7*k + 12*k + 4 - k**2 + 5*k.
-(k - 1)*(k + 4)
Let u(t) = -16*t**3 - 12*t**2 + 4*t + 12. Let x(r) = r**5 - 16*r**3 - 11*r**2 + 6*r + 11. Let w(j) = -3*u(j) + 4*x(j). Factor w(h).
4*(h - 2)*(h - 1)*(h + 1)**3
Let b = -963 + 966. Factor 2/15*h**b - 2/1