of -z**8/224 + z**6/40 - z**4/16 + 7*z**2. What is d in k(d) = 0?
-1, 0, 1
Let z(i) be the third derivative of i**5/240 + i**4/32 + i**3/12 + 9*i**2. Factor z(c).
(c + 1)*(c + 2)/4
Factor 18/5*s**3 - 4/5*s - 14/5*s**2 + 0.
2*s*(s - 1)*(9*s + 2)/5
Let o(n) = -n**3 - n - 1. Let l(g) = 49*g**3 + 10*g**2 + 4*g + 4. Let q(b) = -l(b) - 4*o(b). Solve q(a) = 0 for a.
-2/9, 0
Suppose -4*i - 3 = -27. Let p(h) = 5*h**3 + 11*h**2 + 2*h + 3. Let m(v) = -2*v**3 - 5*v**2 - v - 1. Let n(w) = i*p(w) + 14*m(w). Suppose n(o) = 0. What is o?
-1, 1, 2
Suppose -1/2*z + 0 - z**3 - 3/2*z**2 = 0. What is z?
-1, -1/2, 0
Let b = 13623/7 - 1939. Factor b*j**2 + 2/7 + 20/7*j.
2*(5*j + 1)**2/7
Suppose 2*o = 4*y + 20, 5*y = 2*o - 6 - 19. Let 2/11*h**2 + o - 4/11*h = 0. Calculate h.
0, 2
Let d = 48 + -43. Let w(z) be the third derivative of 0*z - 2*z**2 + 0 - 1/735*z**7 + 1/210*z**d + 0*z**3 + 0*z**4 + 1/420*z**6 - 1/1176*z**8. Factor w(o).
-2*o**2*(o - 1)*(o + 1)**2/7
Let d = -141 + 708/5. Suppose -4/5*m - d - 1/5*m**2 = 0. What is m?
-3, -1
Let g = 91 - 629/7. Determine x, given that 2/7*x**2 + g + 8/7*x = 0.
-2
Suppose -2*s + 5*s = 0. Let p(b) be the second derivative of 2*b + 1/30*b**4 + 0*b**2 + 2/15*b**3 + s. Factor p(v).
2*v*(v + 2)/5
Let v = -91 - -91. Factor 1/2*g**2 + 1/4*g**4 - 3/4*g**3 + 0*g + v.
g**2*(g - 2)*(g - 1)/4
Let x(k) = k**3 + 13*k**2 + 12*k + 9. Let o be x(-12). Let u = 12 - o. Factor -7/3*w**u - 2/3 + 2/3*w**2 + 7/3*w.
-(w - 1)*(w + 1)*(7*w - 2)/3
Let a be (-14)/(-63) - 259/(-9). Let f = a - 17. Suppose -4*h**3 + f*h**2 + 8 + 1/2*h**4 - 16*h = 0. What is h?
2
Let j(c) = -11*c + 47. Let a be j(4). Factor -o**2 - 3/2*o**a + 3/2*o + 1.
-(o - 1)*(o + 1)*(3*o + 2)/2
Let f = -1/96 - -49/96. Factor 1/2*u**2 + 0 + 1/2*u**5 - 1/2*u**3 + 0*u - f*u**4.
u**2*(u - 1)**2*(u + 1)/2
Let y(d) = d**3 - 5*d**2. Let j be y(5). Suppose 2*z - 6 + j = 0. Factor -1/4*v - 2*v**2 + 1/2 - 5/4*v**z.
-(v + 1)**2*(5*v - 2)/4
Let n(s) = 4*s**3 - 4*s**2 - 6*s + 2. Let v(j) = -j**5 + j**4 + j**3 + j**2 + j - 1. Let p(g) = -2*n(g) - 4*v(g). Suppose p(u) = 0. Calculate u.
-1, 0, 1, 2
Let l(n) be the second derivative of 3*n**3 - 3/10*n**6 + 3/2*n**5 - 3*n**4 - 3/2*n**2 + 10*n + 0. Factor l(y).
-3*(y - 1)**3*(3*y - 1)
Let d = 79/4 + -19. Let c = -7 - -29/4. Find z, given that -1/4*z**5 - d*z**3 + 0 + 3/4*z**4 + c*z**2 + 0*z = 0.
0, 1
Let s be (-24)/(-56) - (-10)/42. Solve -1/3 - s*k - 1/3*k**2 = 0.
-1
Suppose -5*b + 15 = -25. Let s be b/28 + (-150)/(-63). Factor -8/3*k**3 - 2/3*k**2 + s*k + 2/3.
-2*(k - 1)*(k + 1)*(4*k + 1)/3
Let f be (1/5)/(5/50). Factor 0 + 4/7*z - 6/7*z**5 - 2*z**4 + 6/7*z**f - 6/7*z**3.
-2*z*(z + 1)**3*(3*z - 2)/7
What is x in -12 - 37*x**3 + 112*x**3 - 48*x + 27*x**4 - 27*x**5 - 430*x**2 + 415*x**2 = 0?
-1, -2/3, -1/3, 1, 2
Let g(t) be the second derivative of -t**7/56 - t**6/40 + 9*t**5/80 + t**4/16 - t**3/4 + 5*t. Solve g(k) = 0.
-2, -1, 0, 1
Suppose 4*i - i - 6 = 0. Let w = 162/355 + -4/71. Factor 0*o + 0 - 8/5*o**4 - w*o**i + 2*o**3.
-2*o**2*(o - 1)*(4*o - 1)/5
Let a(b) be the third derivative of -2*b**2 + 1/12*b**4 + 1/60*b**5 + 0*b + 0*b**3 + 0. Find c, given that a(c) = 0.
-2, 0
Let u = -109/9 + 112/9. What is k in 0 + u*k**4 - 1/3*k**2 + 1/3*k - 1/3*k**3 = 0?
-1, 0, 1
Factor 45*t + 477*t**3 + 225*t**2 + 257*t**4 - 42*t**3 - 2 + 103*t**4 + 5 + 108*t**5.
3*(t + 1)**3*(6*t + 1)**2
Let p be 1 - (-4)/8*2. Let a(d) be the second derivative of d + 1/15*d**4 + 1/50*d**5 + 0*d**p + 1/15*d**3 + 0. Find x, given that a(x) = 0.
-1, 0
Let d = -226/3 - -76. Factor -1/6*s**3 + 2/3*s**2 + 0 - d*s.
-s*(s - 2)**2/6
Let q(j) be the first derivative of 1/2*j**2 - 2*j - 4/5*j**5 - 3/2*j**3 + 2 + 2*j**4. Let i(c) be the first derivative of q(c). Find z, given that i(z) = 0.
1/4, 1
Let o(z) be the third derivative of z**5/160 + 5*z**4/64 + z**3/4 + 29*z**2. Factor o(g).
3*(g + 1)*(g + 4)/8
Let s be -4 + (0 - (-165)/20). Let h = 55/12 - s. Factor h*m**2 - 1/3*m**4 - 1/3*m + 1/3*m**3 + 0.
-m*(m - 1)**2*(m + 1)/3
Let a = -134 - -424/3. Find g such that -6*g**2 - 4/3 + a*g = 0.
2/9, 1
Factor -1/4*y**3 + 3/4*y**2 - 3/4*y + 1/4.
-(y - 1)**3/4
Let p(u) be the second derivative of u**5/15 - u**4/9 - 2*u**3/9 + 2*u**2/3 - 45*u. Factor p(z).
4*(z - 1)**2*(z + 1)/3
Let f(m) be the first derivative of -m**3/6 - m**2 - 2*m - 20. Let f(a) = 0. What is a?
-2
Suppose 3*y + 6 = y. Let l be 17/15 - (-1)/y. Let -l*d - 2/5 - 2/5*d**2 = 0. What is d?
-1
Let i(d) be the second derivative of 3*d**5/5 + 5*d**4/4 - d**3 - 9*d**2/2 - 7*d. Let i(y) = 0. Calculate y.
-1, 3/4
Suppose -3*a - f = -5, 2 = 2*a - 6*a + 3*f. Suppose 2*r - 2 = -3*p - a, -5*p = 5. Factor 3*c**3 + 3*c**4 - r*c**4 + 0*c**2 + 2*c**2.
c**2*(c + 1)*(c + 2)
Factor -3*l - 3*l - 8*l**2 + 4 + 3*l**2 + 7*l**2.
2*(l - 2)*(l - 1)
Suppose 4*y = 9*y. Let d(g) be the first derivative of -2/35*g**5 + 0*g + 2/21*g**3 + 0*g**2 + 2 + y*g**4. Factor d(i).
-2*i**2*(i - 1)*(i + 1)/7
Let z(m) be the second derivative of 0*m**3 + 0*m**5 + 0 + 4*m + 1/4*m**4 + 0*m**2 - 1/10*m**6. What is b in z(b) = 0?
-1, 0, 1
Let o(s) be the third derivative of -s**5/12 - 25*s**4/12 + 9*s**2. Factor o(z).
-5*z*(z + 10)
Let k(l) be the first derivative of l**3/3 - l**2/2 + 5. Let g(b) = 3*b**2 - 5*b + 2. Let a(j) = g(j) - 4*k(j). Factor a(y).
-(y - 1)*(y + 2)
Let y = -3227/4 + 801. Let k = -11/2 - y. Find a such that 0*a - k*a**2 + 1/4*a**4 + 1/4*a**3 + 0 - 1/4*a**5 = 0.
-1, 0, 1
Let u(a) = 5*a**2 + 2*a + 1. Let v be u(-1). Let l(t) be the first derivative of 2/9*t**3 + 0*t**2 + 0*t - 7/12*t**v - 2. Determine b so that l(b) = 0.
0, 2/7
Let k(t) be the second derivative of -t**6/780 - t**5/195 - t**4/156 + 7*t**2/2 - 8*t. Let c(n) be the first derivative of k(n). Suppose c(g) = 0. What is g?
-1, 0
Determine f, given that -5/2*f**2 + 5*f + 20 = 0.
-2, 4
Factor 5*v**4 + 5*v + 17*v - 5*v**3 - 15*v**2 + 3*v - 10.
5*(v - 1)**3*(v + 2)
Let j(l) = -100*l**4 - 360*l**3 - 340*l**2 + 16*l + 64. Let s(b) = 20*b**4 + 72*b**3 + 68*b**2 - 3*b - 13. Let n(q) = 3*j(q) + 16*s(q). Factor n(y).
4*(y + 1)**2*(y + 2)*(5*y - 2)
Suppose 3*m - 2*m - 3 = 0. Suppose 3*v = m*f + 24, -5*v + 9 = f - 1. Factor -3/4*u**v - 1/4*u**4 + 0 - 1/4*u - 3/4*u**2.
-u*(u + 1)**3/4
Let v be 48/22 - (230/55 + -4). Let g(c) be the second derivative of 0*c**3 + 0 + 0*c**v + 3*c - 1/6*c**4 - 1/10*c**5. Factor g(n).
-2*n**2*(n + 1)
Let h(z) be the second derivative of -z**4/4 + 3*z**3/2 - 3*z**2 - 21*z. Find w such that h(w) = 0.
1, 2
Suppose 4 = -0*z + z. Let j(i) be the first derivative of 0*i + 1/4*i**z - 1 + 2/3*i**3 + 1/2*i**2. Let j(f) = 0. What is f?
-1, 0
Let q be 4/6 - 32/12. Let y be (q/(-2))/((-6)/(-2)). Solve -2/3*s**2 + 5/3*s - y + 3*s**5 + s**4 - 14/3*s**3 = 0.
-1, 1/3, 1
Let a(o) be the third derivative of 3*o**7/7 - 41*o**6/48 + o**5/18 + 65*o**4/144 - 5*o**3/18 - 49*o**2. Solve a(d) = 0 for d.
-1/3, 2/9, 1/4, 1
Let q = -16/19 + 200/57. Determine l so that -q*l**4 + 0 - 8/3*l**2 + 2/3*l + 4*l**3 + 2/3*l**5 = 0.
0, 1
Let n = 2/625 - 13502/625. Let y = n - -22. Factor -2/5*m**2 + 0*m + y*m**3 + 0.
2*m**2*(m - 1)/5
Let m be (5/5 - 0)*0. Let u(x) be the third derivative of 0*x**4 + 2*x**2 - 1/180*x**5 + 0 + m*x + 1/18*x**3. Factor u(g).
-(g - 1)*(g + 1)/3
Let c(p) be the second derivative of p**7/105 + 4*p**6/75 + 2*p**5/25 - 12*p. Factor c(y).
2*y**3*(y + 2)**2/5
Suppose -11 = -2*p - 4*y + 9, 0 = -y + 4. Let d be 2 + (-4)/(-2) + -1. Factor -2*m + m**3 + m**d - m**p + m.
m*(m - 1)*(2*m + 1)
Let x be 1 + (1/3)/(3/(-9)). Let j = 2 + 3. Let 0 + 2/5*a**2 + x*a + 4/5*a**3 - 14/5*a**4 + 8/5*a**j = 0. Calculate a.
-1/4, 0, 1
Let g be ((-4)/6)/((-4)/84). Suppose -5*u + 2 = 4*o - 17, -3*u + g = 5*o. Let 18*v**4 + 9*v**u + 0 - 4/3*v + 9*v**5 - 4/3*v**2 = 0. Calculate v.
-1, -2/3, 0, 1/3
Let z(y) be the first derivative of -11*y**3/3 - y**2/2 - 14*y - 1. Let p(f) = 0*f + 0*f - 2 + 4*f**2 + 7. Let j(h) = -8*p(h) - 3*z(h). Factor j(d).
(d + 1)*(d + 2)
Suppose 0 = -5*r - 5, -3*n + 0*n + 4*r = -19. Suppose v + 3 = n. Solve -c**2 - 4*c**3 - c**2 - 2*c**5 - 6*c**4 - v*c**3 = 0 for c.
-1, 0
Let x(a) be the third derivative of -a**7/70 + a**6/40 + 3*a**5/10 - 3*a**2 - 4. Let x(h) = 0. Calculate h.
-2, 0, 3
Let b(d) be the first derivative of d**5/20 + d**4/3 + 5*d**3/6 + d**2 + d - 1. Let o(i) be the first derivative of b