 - 2/3*g**3 - 1/4*g**4 - 1. Suppose b(i) = 0. Calculate i.
-1, 0
Let n(c) be the first derivative of -1/4*c**4 + 0*c + 2 - 1/40*c**5 + 0*c**2 - 2/3*c**3 + 1/120*c**6. Let t(i) be the third derivative of n(i). Factor t(b).
3*(b - 2)*(b + 1)
Suppose 7*k - 10*k**3 + 27*k**3 + 20*k**2 + 13*k - 12*k**3 = 0. What is k?
-2, 0
Let a be 1*29 + (-5)/5. Factor a - o - 28 + o**3.
o*(o - 1)*(o + 1)
Let k(m) be the third derivative of m**7/840 - m**6/480 - m**5/240 + m**4/96 - m**2. Factor k(l).
l*(l - 1)**2*(l + 1)/4
Let p be 1 + 1/(-1) - -10. Let p*d**3 + 1 + 13*d**2 + d**5 + 0*d**3 - 3*d**2 + 5*d + 5*d**4 = 0. What is d?
-1
Let p(y) be the third derivative of -y**7/560 + y**6/120 - 7*y**3/6 + 7*y**2. Let w(r) be the first derivative of p(r). Suppose w(i) = 0. What is i?
0, 2
Suppose -4*r - 2 = -34. Let n = r - 8. What is a in 2/3*a**4 + 2/3*a**3 + 0*a + 0 + n*a**2 = 0?
-1, 0
Let o(h) be the first derivative of h**4/12 + h**3/6 - 8*h + 8. Let j(s) be the first derivative of o(s). Let j(x) = 0. Calculate x.
-1, 0
Let c(b) be the third derivative of -25*b**8/16 - 17*b**7/14 + 51*b**6/20 + b**5/5 - b**4 - 8*b**2. Solve c(w) = 0.
-1, -2/7, 0, 2/5
Let c be 36/21 - (-2)/7. Let t(g) be the third derivative of 0*g + 0 + 1/15*g**3 - 1/300*g**6 + 1/60*g**4 + g**c - 1/150*g**5. Factor t(q).
-2*(q - 1)*(q + 1)**2/5
Suppose -w + i + 2*i - 15 = 0, -3*w + 25 = 5*i. Let h(o) be the first derivative of 0*o**3 - 1/8*o**4 + 1/12*o**6 + w*o + 0*o**2 + 0*o**5 + 1. Factor h(s).
s**3*(s - 1)*(s + 1)/2
Let k(c) = -2*c**2 - 24*c - 20. Let x be k(-11). Let w(s) be the third derivative of 1/24*s**4 - 2*s**x - 1/120*s**5 + 0*s**3 + 0 + 0*s. Factor w(y).
-y*(y - 2)/2
Let h = -511 - -5625/11. Let w = h - 1/33. Factor -6*b**2 - w*b**4 + 20/3*b - 8/3 + 7/3*b**3.
-(b - 2)**3*(b - 1)/3
Let n(f) be the first derivative of f**5/20 - f**3/6 - 3*f + 7. Let k(d) be the first derivative of n(d). Let k(c) = 0. Calculate c.
-1, 0, 1
Let l(t) be the second derivative of t**5/14 - 2*t**4/7 + 4*t**3/21 - 9*t. Factor l(g).
2*g*(g - 2)*(5*g - 2)/7
Let p(f) = f - 1. Let n be p(-10). Let r be (-62)/(-42) + n/77. Find o such that -2/3 + r*o - 2/3*o**2 = 0.
1
Let s be (-208)/234*(-15)/4 + -3. Let m(h) be the first derivative of 0*h**2 + 0*h + 0*h**3 - 3 + 0*h**4 + 2/5*h**5 - s*h**6. Find q, given that m(q) = 0.
0, 1
Let p = 14 - 8. Suppose p = u + 4. Find o, given that 2/7*o**u - 2/7 + 0*o = 0.
-1, 1
What is t in 1/2*t + 0 + t**2 + 1/2*t**3 = 0?
-1, 0
What is t in 0 - 2/7*t - 4/7*t**4 - 8/7*t**2 - 10/7*t**3 = 0?
-1, -1/2, 0
Let a(c) = 10*c**3 - 10*c. Let w(h) = -h**3 - h**2 + h + 1. Let f(t) = -a(t) - 5*w(t). Factor f(x).
-5*(x - 1)**2*(x + 1)
Let f(i) be the first derivative of i**4/10 + 4*i**3/15 - i**2/5 - 4*i/5 + 5. Suppose f(n) = 0. Calculate n.
-2, -1, 1
Solve 0 + 0*q + 0*q**2 + 5*q**5 + 2/3*q**3 + 11/3*q**4 = 0 for q.
-2/5, -1/3, 0
Let t(h) = -h**2 - h - 1. Let g(v) = 5*v**3 + 2*v**2 - 43*v - 63. Let k(x) = g(x) - 3*t(x). Find y such that k(y) = 0.
-2, 3
Let k(q) = 4*q**4 + 4*q**3 - 9*q**2 - 2*q + 7. Let g(f) = f**4 + f**3 + f + 1. Let h(x) = g(x) - k(x). Determine c so that h(c) = 0.
-2, -1, 1
Let z be (-195)/(-140) + (-1)/4. Let q = 1 + -1. Factor -2/7*x**2 + z*x**3 + 0 + q*x.
2*x**2*(4*x - 1)/7
Let u(k) be the third derivative of 0 - 3*k**2 + 1/24*k**4 + 0*k - 1/2*k**3 + 1/360*k**6 - 1/60*k**5. Let v(g) be the first derivative of u(g). Factor v(y).
(y - 1)**2
Let w = -11/8 + 13/4. Let r = 151/72 - w. Factor -r*c**4 - 2/9*c**2 + 4/9*c**3 + 0 + 0*c.
-2*c**2*(c - 1)**2/9
Let k(a) be the third derivative of -a**7/420 - a**6/240 + a**5/60 - 2*a**2. Solve k(x) = 0.
-2, 0, 1
Let b(t) be the second derivative of 1/3*t**3 - 4*t - 2/15*t**6 + 0 + 0*t**5 + 0*t**2 + 1/3*t**4 - 1/21*t**7. Factor b(x).
-2*x*(x - 1)*(x + 1)**3
Let q(b) = -24 - 54*b**2 + 62*b + 14*b**3 - b**4 + 11*b**3 - 4*b**3 + 0. Let c(w) = 21*w**3 - 54*w**2 + 63*w - 24. Let j(g) = -2*c(g) + 3*q(g). Factor j(o).
-3*(o - 2)**3*(o - 1)
Let 2/3*v**5 - 8/9*v**4 + 0*v + 0*v**2 + 2/9*v**3 + 0 = 0. Calculate v.
0, 1/3, 1
Let k be 15/(-1)*(-5)/15. Let z = k + -2. Solve -4*q + 2*q + 3*q**3 + 2*q**2 + z*q - 5*q**2 - q**4 = 0 for q.
0, 1
Suppose -6 = -4*k + 10. Let q(r) be the first derivative of -5/6*r**k - 2/5*r**5 - 2/9*r**3 + 0*r + 3 + 1/3*r**2. Suppose q(g) = 0. Calculate g.
-1, 0, 1/3
Factor -6*x + 27 + 1/3*x**2.
(x - 9)**2/3
Let c(y) = -7*y**2 - 5*y - 6. Let m be 33/2 + 5/10. Let o = m - 12. Let b(t) = 6*t**2 + 4*t + 5. Let a(g) = o*c(g) + 6*b(g). Factor a(x).
x*(x - 1)
Factor -16*h**2 - 11*h - 4*h**2 + 86*h + 20.
-5*(h - 4)*(4*h + 1)
Let h(u) be the third derivative of 1/60*u**5 - 1/6*u**4 + 4*u**2 + 0 + 2/3*u**3 + 0*u. Factor h(x).
(x - 2)**2
Suppose 0*n + 3*n - 6 = 0. Solve -2*t**5 + 2 + 14*t**4 + 9*t**5 - 16*t**n + 8*t**5 + 3*t - 18*t**3 = 0 for t.
-1, -1/3, 2/5, 1
Let r(a) be the first derivative of -2*a**3/3 - a**2 + 4*a - 10. What is t in r(t) = 0?
-2, 1
Let b(g) be the third derivative of 0 + 0*g + 1/180*g**5 + 1/36*g**4 + 0*g**3 - g**2. Let b(p) = 0. What is p?
-2, 0
Let a(o) = 9*o**3 - 24*o**2 + 36*o - 16. Let c(r) be the second derivative of -r**5/20 + 11*r. Let d(y) = a(y) + 5*c(y). Suppose d(g) = 0. Calculate g.
1, 4
Let o(w) be the first derivative of -3 + 2/15*w**3 + 0*w - 2/5*w**2. Factor o(v).
2*v*(v - 2)/5
Let k = 0 - -2. Suppose 0*a**2 + 1 + a**2 - a**3 + a - k = 0. Calculate a.
-1, 1
Let d(n) be the third derivative of -n**7/840 - n**6/360 + 5*n**3/6 - 2*n**2. Let h(b) be the first derivative of d(b). Factor h(g).
-g**2*(g + 1)
Let q(t) be the third derivative of 10*t**7/21 + 3*t**6/2 + 8*t**5/5 + 2*t**4/3 - 11*t**2. Determine u, given that q(u) = 0.
-1, -2/5, 0
Let v(h) be the second derivative of -h**5/10 - 2*h**4 - 16*h**3 - 64*h**2 - 38*h. Factor v(k).
-2*(k + 4)**3
Let b(i) = i + 15. Let j be b(-16). Let m be j/1*3 - -7. Factor 0*w**m + 0 - 1/3*w**3 + 0*w**2 + 1/6*w**5 + 1/6*w.
w*(w - 1)**2*(w + 1)**2/6
Let r(v) be the second derivative of -1/12*v**4 + 0 + 2*v + 0*v**2 - 1/6*v**3. Factor r(y).
-y*(y + 1)
Let y be -2 + (-12)/(-3) + 2. Suppose -24 = -y*q + q. Let v - 2 - 2*v**4 + 7*v - v - 12*v**2 + v + q*v**3 = 0. Calculate v.
1
Let t(y) be the first derivative of -2 + 2*y**3 + 9/4*y**4 + 0*y + 0*y**5 - 1/2*y**6 + 0*y**2. Let t(g) = 0. What is g?
-1, 0, 2
Let n(i) be the third derivative of -i**5/120 + i**4/24 - i**3/12 - 5*i**2 - 5. Determine d, given that n(d) = 0.
1
Let q = -1150/51 + -36/17. Let k = q - -25. Let -k + 1/3*p + 1/3*p**2 - 1/3*p**3 = 0. Calculate p.
-1, 1
Factor 4/3*r**3 - 2048/3 - 32*r**2 + 256*r.
4*(r - 8)**3/3
Suppose 0*w + 2*w = 12. Let v(i) = i**2 - 6*i + 3. Let n be v(w). Solve 3*r**3 + 0*r**4 + 4 - 4 - n*r**4 = 0.
0, 1
Let m(o) be the third derivative of -o**8/1512 - o**7/945 + o**6/180 + o**5/270 - o**4/54 + 39*o**2. Solve m(p) = 0 for p.
-2, -1, 0, 1
Let w(s) = s**2 + 7*s + 9. Let f be 2/((0 - 1)/3). Let n be w(f). Factor -6*p**3 + p**4 - 32*p + 24*p**2 + 16 + 0*p**4 - p**3 - p**n.
(p - 2)**4
Let z(h) be the first derivative of h**5/40 - h**4/24 + 2*h + 2. Let n(a) be the first derivative of z(a). Factor n(v).
v**2*(v - 1)/2
Let i be -1 + 1 + 0/(-2). Suppose i*o = -4*o - 2*l + 16, 2*l + 4 = o. Solve -r**2 - 4*r**3 + 2 + 2*r**2 - 3*r**4 - r**o + 5*r - r**5 + r**2 = 0.
-2, -1, 1
Suppose -5*y = k - 4*k + 63, -k + 1 = 0. Let o = -8 - y. Factor 2*z**3 - z**2 - 3*z**4 + 3*z**o - z**4.
-z**2*(z - 1)**2
Let n(w) = -2*w**2 - 7*w - 4. Let q be n(-6). Let a be q*(-4)/88 - 1. Determine m so that -4/11 + 28/11*m**2 - 8/11*m**3 + 14/11*m**5 - a*m - 24/11*m**4 = 0.
-1, -2/7, 1
Suppose 0 = -4*f - f. Find d, given that -2*d**2 + f*d - d + 3*d**2 - 4 + 2 = 0.
-1, 2
Suppose 4*g - 15 - 1 = 0. Let o(a) be the second derivative of -1/24*a**g + a + 1/4*a**2 + 0 + 1/8*a**3 - 3/80*a**5. Find f such that o(f) = 0.
-1, -2/3, 1
Let b(k) be the third derivative of 0*k**3 - 1/420*k**6 + 0*k**4 + 0 + 2*k**2 + 1/210*k**5 + 0*k. Factor b(l).
-2*l**2*(l - 1)/7
Let u be 3/6 + (-6)/(-4). Suppose -3*l - a = -u*a + 2, 0 = 2*l - 3*a + 6. Suppose 0*h**2 - 2*h**5 - 1/4*h**3 - 3/2*h**4 + 0*h + l = 0. What is h?
-1/2, -1/4, 0
Let a(b) be the second derivative of 3*b**5/40 - b**4/2 + 5*b**3/4 - 3*b**2/2 - 13*b. Factor a(w).
3*(w - 2)*(w - 1)**2/2
Suppose 0 = -2*r - 3*o + 59, 58 = 2*r - 0*r + 4*o. Suppose -3*l + 4*x = l + 12, 5*x = -3*