 What is b?
3, 4
Let w be (-20)/(-70)*441/77. Suppose -4/11*k**4 + 4/11*k**2 + 0 - 18/11*k**3 + 0*k + w*k**5 = 0. Calculate k.
-1, 0, 2/9, 1
Let g(y) be the first derivative of 0*y - y**2 - 1/4*y**4 - 13 - y**3. Factor g(o).
-o*(o + 1)*(o + 2)
Let g(u) = u**3 - 6*u**2 - u + 9. Let l be g(6). Factor -q**2 + 46*q - 43*q - l*q**3 + q**2.
-3*q*(q - 1)*(q + 1)
Factor 5*n**3 - 34*n**2 - 58 + 9 + 182*n - 3*n**3 - 208 - 37.
2*(n - 7)**2*(n - 3)
Let m(h) = -8*h**2 + 216*h - 76. Let r(g) = 15*g**2 - 430*g + 154. Let f(u) = 13*m(u) + 6*r(u). Let f(v) = 0. What is v?
2/7, 16
Let t be (7/(-21))/((-1)/18). Suppose -4*h = -5*b + h + 20, 5*h = -2*b - t. Determine w so that -2*w**3 - 7*w**2 + 0*w**2 + 3*w**b - 2*w = 0.
-1, 0
Factor -22*y**4 - y**5 + 2*y**5 - 74*y**4 + 136*y**4 + 39*y**3.
y**3*(y + 1)*(y + 39)
Let q be (-1)/(-5) + 6/120. Let h(x) be the first derivative of -3 - 3/2*x + 9/8*x**2 - q*x**3. What is b in h(b) = 0?
1, 2
Let a(g) be the second derivative of -g**9/13608 - g**8/15120 + 5*g**4/3 - g**2 + g - 2. Let o(i) be the third derivative of a(i). Let o(c) = 0. Calculate c.
-2/5, 0
Suppose -3*u**5 + 9*u**3 - 4 + 3*u**4 + 4 - 291*u + 285*u - 3*u**2 = 0. What is u?
-1, 0, 1, 2
Suppose -r + 2*r - 20 = 3*d, 0 = r + 4. Let s be 282/24 - 2/d. Determine h, given that s*h**5 - 14/3*h**3 - 10*h**4 + 0 + 2*h**2 + 2/3*h = 0.
-1/3, 0, 1/2, 1
Let a(f) = -5*f + 48. Let c be a(9). Let v(d) be the second derivative of -c*d + 0*d**2 + 1/6*d**3 + 0 - 1/12*d**4. Factor v(k).
-k*(k - 1)
Let g(w) = 2*w - 2. Let f be g(2). Let -40 - 42 + 4*z**f + 66 + 12*z = 0. Calculate z.
-4, 1
Let o(t) be the third derivative of t**7/3780 + t**6/270 - t**4/4 + 18*t**2. Let l(x) be the second derivative of o(x). Factor l(c).
2*c*(c + 4)/3
Suppose -38*t - 3 + 24*t + 20*t - 2*t**2 - t**2 = 0. What is t?
1
Let d be (2/6)/(5 + 429/(-99)). Let 0 - 5/4*t**4 + 5/4*t**2 - d*t + 1/2*t**5 + 0*t**3 = 0. What is t?
-1, 0, 1/2, 1, 2
Let w be (-24)/(-56) + 32/7. Suppose -5*r - p + 43 = 0, p + 37 = w*r - 0*p. Determine o so that -5*o**3 + 2*o**2 - 4*o**3 - r*o**2 + 3*o**5 = 0.
-1, 0, 2
Suppose -u + 3 = 2*c, 5 = 3*c + 2*u + 1. Determine y, given that -c - 25*y - 185*y**3 + 90*y + 31*y**2 - 18 + 4*y**2 + 105*y**4 = 0.
-4/7, 1/3, 1
Suppose 5*i = 7*i + b, 0 = 4*b + 16. Factor 3/5*c**i + 2/5*c - 2/5*c**3 + 0.
-c*(c - 2)*(2*c + 1)/5
Let k(h) be the second derivative of 0*h**5 - 1/300*h**6 - 8*h + 0 + 1/20*h**4 + 2/15*h**3 + 4*h**2. Let l(c) be the first derivative of k(c). Factor l(w).
-2*(w - 2)*(w + 1)**2/5
Let b(n) be the third derivative of 0*n - 7/24*n**4 + 44*n**2 + 48/35*n**7 + 41/45*n**5 + 1/18*n**3 - 8/5*n**6 - 3/7*n**8 + 0. Find k such that b(k) = 0.
1/6, 1/2, 1
Let k(x) be the third derivative of -x**7/1260 - x**6/240 - x**5/360 + x**4/48 + x**3/18 + 314*x**2. Let k(s) = 0. What is s?
-2, -1, 1
Let c(m) be the third derivative of m**6/30 - m**5 - m**4/6 + 10*m**3 - 29*m**2. Let c(v) = 0. What is v?
-1, 1, 15
Let p(b) be the first derivative of b**5/300 - b**4/20 + 3*b**2 + 6. Let g(c) be the second derivative of p(c). Determine m so that g(m) = 0.
0, 6
Let p be (-2)/4 - (26/(-8) + 2). Find t such that p*t + 9/4*t**2 - 3/4*t**3 - 9/4 = 0.
-1, 1, 3
Let -29/4*p + 3/8*p**4 - 147/8*p**2 + 0 + 41/4*p**3 = 0. What is p?
-29, -1/3, 0, 2
Let k(a) be the third derivative of 0*a - 1/360*a**6 + 0*a**3 + 0 + 0*a**4 - 14*a**2 + 0*a**5. Suppose k(x) = 0. What is x?
0
Let f = -389318/77 + 5056. Let s = f + 107/385. Find t such that 0*t**3 - 1/5 + 2/5*t**2 - s*t**4 + 0*t = 0.
-1, 1
Let g(l) be the first derivative of 13 - 1/7*l**2 + 0*l + 13/21*l**3 - 15/28*l**4. Suppose g(y) = 0. What is y?
0, 1/5, 2/3
Let o(g) be the third derivative of -5*g**8/336 - g**7/7 - 3*g**6/8 + 223*g**2. Factor o(t).
-5*t**3*(t + 3)**2
Let x(m) be the first derivative of m**3/18 - 2*m**2/3 + 7*m/6 + 20. Suppose x(h) = 0. Calculate h.
1, 7
Let d(l) be the third derivative of 0*l**4 + 0 - 8*l**2 + 0*l**3 + 1/30*l**5 - 1/30*l**6 + 0*l + 1/105*l**7. Let d(r) = 0. Calculate r.
0, 1
Suppose 0*v - v = 4*c - 59, 2*c - 22 = 2*v. Let 2 + 12*z**4 - 39*z**4 - z**3 + z + c*z**4 - 3*z**2 + 14*z**4 = 0. Calculate z.
-1, 1, 2
What is n in 81/8*n**2 - 1/8 - 3*n = 0?
-1/27, 1/3
Let h(b) be the first derivative of -b**6/180 + b**5/45 + b**4/36 - 2*b**3/9 + b**2/2 + 15*b - 32. Let v(n) be the second derivative of h(n). Factor v(d).
-2*(d - 2)*(d - 1)*(d + 1)/3
Let x be (-38)/6 - (-3 + 11 + -6). Let i = x - -293/33. Factor 0 - i*o - 2/11*o**2.
-2*o*(o + 3)/11
Let x = 792/5 - 3153/20. Factor 9/4*t**2 - 3/2 - x*t.
3*(t - 1)*(3*t + 2)/4
Let d be 15 + -7 - 2 - (12/3 + 2). Let -6/7*n + d + 6/7*n**3 + 3*n**4 - 3*n**2 = 0. What is n?
-1, -2/7, 0, 1
Let u = 279 + -557/2. Let g(y) be the first derivative of u*y**2 + y**3 + 0*y + 3 + 1/5*y**5 + 3/4*y**4. Factor g(t).
t*(t + 1)**3
Let b(c) be the second derivative of c**6/135 + c**5/30 + c**4/27 + 159*c. Factor b(r).
2*r**2*(r + 1)*(r + 2)/9
Suppose 139*x = 134*x + 15. Let o(s) be the second derivative of 3*s + 0 - 1/6*s**4 - 1/6*s**x - 1/20*s**5 + 0*s**2. Solve o(h) = 0.
-1, 0
Let u(m) be the second derivative of -m**4/42 - 13*m**3/21 + 2*m**2 - 87*m. Determine j so that u(j) = 0.
-14, 1
Let x(d) be the first derivative of -d**5/420 - 7*d**2/2 - 6. Let i(r) be the second derivative of x(r). Determine f, given that i(f) = 0.
0
Let k(g) be the first derivative of g**4/7 + 2*g**3/7 - 9*g**2/7 - 35. Factor k(t).
2*t*(t + 3)*(2*t - 3)/7
Let p(q) be the first derivative of q**6/3 + 76*q**5/5 + 397*q**4/2 + 456*q**3 + 324*q**2 - 19. Factor p(a).
2*a*(a + 1)**2*(a + 18)**2
Let r(m) be the first derivative of 5*m**4 - 28/3*m**3 - 2*m - 39 + 13/2*m**2. Factor r(d).
(2*d - 1)**2*(5*d - 2)
Let n(z) be the second derivative of -245/8*z**2 + 26*z + 35/12*z**3 + 0 - 5/48*z**4. Factor n(a).
-5*(a - 7)**2/4
Let y(o) = -o - 19. Let t(j) = -6*j - 113. Let q(u) = 6*t(u) - 34*y(u). Let d be q(-16). Solve d*k**2 + 0 + 2/3*k**5 + 4/3*k**4 + 0*k + 2/3*k**3 = 0.
-1, 0
Suppose -5*g + 1031 = -3*f, -3*g = f + f - 611. Suppose -q + g = 4*q. Let -47*j**3 + 7*j**4 - 4*j**4 + q*j**3 - 5 + 6*j + 2 = 0. What is j?
-1, 1
Suppose -g - g = -6*g. Let l(n) be the third derivative of 0*n + 3*n**2 + 0 + g*n**3 - 1/280*n**6 + 0*n**5 + 1/56*n**4. Factor l(u).
-3*u*(u - 1)*(u + 1)/7
Let i(r) be the second derivative of r**6/60 + 17*r**5/40 - 37*r**4/24 + 19*r**3/12 - 183*r. Factor i(g).
g*(g - 1)**2*(g + 19)/2
Determine g, given that 0 + 9/4*g**5 + 1/4*g - 3/4*g**3 - 23/8*g**4 + 9/8*g**2 = 0.
-1/2, -2/9, 0, 1
Suppose -1/2*r**3 + 8*r - 10 - 1/2*r**2 = 0. What is r?
-5, 2
Let q = 32 + -30. Let 5*h**q - 2*h**2 + h**2 + 2*h + 2*h**3 = 0. What is h?
-1, 0
Let j = 17 + -25. Let y = 12 + j. Factor 4 + 2*q**3 - 4 + y*q**2 + 2*q.
2*q*(q + 1)**2
Suppose 6*n**2 - 184*n - 3*n**2 + 81 + 115 - 135 = 0. Calculate n.
1/3, 61
Suppose -3*i = 2*i - 25. Suppose -i - 10 = -3*c. Let c*f**2 + 2*f**3 - 6*f**4 - 2*f**2 - 2*f + 3*f**2 = 0. What is f?
-1, 0, 1/3, 1
Let m(p) be the second derivative of p**7/280 - p**6/120 - p**5/20 + 19*p**3/6 - 4*p. Let i(l) be the second derivative of m(l). Factor i(d).
3*d*(d - 2)*(d + 1)
Let w(d) = 46*d + 554. Let s be w(-12). Factor -2*v**s - 4/3*v**3 - 1/3 - 4/3*v - 1/3*v**4.
-(v + 1)**4/3
Factor -104*y**2 + 0 + 193/3*y**3 - 26/3*y**4 + 48*y + 1/3*y**5.
y*(y - 12)**2*(y - 1)**2/3
Suppose -5*u + 8 = 4*b, -2*u = -6*u. Suppose -b*g - 23 = -5*a, -3*g - 3 = 2*a + a. Factor 2/11*x - 8/11*x**4 + 6/11*x**2 + 0 + 0*x**a.
-2*x*(x - 1)*(2*x + 1)**2/11
Let s(c) = -20*c**2 - 76*c + 120. Let b(v) = -v**2 - 2*v + 1. Let t(u) = 16*b(u) - s(u). Factor t(w).
4*(w - 2)*(w + 13)
Let t(z) = 16*z - 12*z**3 + 15 + 22*z**2 - 18*z**2 + 17. Let f(g) = g - 1. Let w(u) = -16*f(u) - t(u). Let w(c) = 0. What is c?
-1, -2/3, 2
Let z(n) = 8*n**5 + 10*n**4 - 22*n**3 - 12*n**2 - 6. Let r(a) = -a**5 + a**3 - 2*a**2 + 1. Let j(p) = -6*r(p) - z(p). Find i, given that j(i) = 0.
-6, -1, 0, 2
Let f = -20159/15 + 1344. Let v(z) be the second derivative of 0 + 10*z - 2/5*z**2 + 1/15*z**4 + f*z**3 - 1/50*z**5. Factor v(o).
-2*(o - 2)*(o - 1)*(o + 1)/5
Let v be 2 - (-2 + 5/(0 + -5)). Let o(h) be the first derivative of 3 + 9/4*h**4 + 21/20*h**v - 3/4*h**2 + 0*h + 3/4*h**3. Factor o(u).
3*u*(u + 1)**2*(7*u - 2)/4
Let f(s) be the second derivative of 0 + 3/140*s**5 - 1/7*s**3 + 1/28*s*