 in 6/5*v**3 + 2*v**4 + p - 4/5*v**2 + 0*v = 0?
-1, 0, 2/5
Let g(x) = 7*x**5 + x**4 - 7*x**3 - x**2 - 3. Let b(r) = 6*r**5 + 2*r**4 - 6*r**3 - 2*r**2 - 2. Let u(o) = -3*b(o) + 2*g(o). Factor u(k).
-4*k**2*(k - 1)*(k + 1)**2
Let m(b) be the third derivative of -b**7/42 + b**6/24 + 12*b**2. Find n, given that m(n) = 0.
0, 1
Let z = 110/21 + -32/7. Let o = 114 + -341/3. Factor z*d + 1/3*d**2 + o.
(d + 1)**2/3
Let m = -35/6 - -106/3. Let x = m - 29. Factor x*j**4 + 0*j + 0 + 1/2*j**3 + 0*j**2.
j**3*(j + 1)/2
Factor -8*b**2 - 4*b - 12*b**4 - 3*b**3 - b**3 + 32*b**3 - 4*b**4.
-4*b*(b - 1)**2*(4*b + 1)
Factor 1/2*f**2 - 5/2*f + 3.
(f - 3)*(f - 2)/2
Let t(k) = -k**2 + 6*k - 7. Let q be t(3). Let p(a) be the second derivative of -2*a**2 - q*a + 0 - 1/12*a**4 + 2/3*a**3. Let p(o) = 0. Calculate o.
2
Let s(n) be the first derivative of -n**7/231 - n**6/165 - 3*n + 1. Let w(x) be the first derivative of s(x). Determine i, given that w(i) = 0.
-1, 0
Let z(u) be the first derivative of -u**7/840 + u**6/180 - 3*u**3 + 1. Let q(d) be the third derivative of z(d). Find y, given that q(y) = 0.
0, 2
Factor 0*p**2 - 9 + 3*p**2 + 3*p - 3*p**3 + 6.
-3*(p - 1)**2*(p + 1)
Let g(t) be the first derivative of t**7/5880 + t**6/2520 - t**5/420 - 8*t**3/3 + 4. Let q(o) be the third derivative of g(o). Factor q(c).
c*(c - 1)*(c + 2)/7
Let u = 22 + -20. Factor -2*k**4 + 17*k**u - 26*k**2 + 11*k**2.
-2*k**2*(k - 1)*(k + 1)
Let i(d) be the third derivative of -4*d**2 + 1/300*d**6 + 0*d**4 + 0*d + 0 - 1/525*d**7 + 0*d**3 + 0*d**5. Factor i(g).
-2*g**3*(g - 1)/5
Let y(r) = -r**2 - 5*r + 69. Let s be y(6). Let 4/9*l**2 - 4/9 + 2/9*l**s - 2/9*l = 0. What is l?
-2, -1, 1
Suppose 20*n**4 + 21*n**3 + 14*n**2 - 4*n**2 + 4*n**3 + 5*n**5 = 0. Calculate n.
-2, -1, 0
Let i(t) be the second derivative of 5*t**7/14 + 16*t**6/5 + 54*t**5/5 + 16*t**4 + 8*t**3 + 9*t. Factor i(p).
3*p*(p + 2)**3*(5*p + 2)
Let r(l) be the first derivative of 4*l**5/5 - l**4 - 4*l**3 + 10*l**2 - 8*l + 1. Let r(h) = 0. What is h?
-2, 1
Let k = -44 - -45. Let s(a) be the first derivative of k + 0*a + 0*a**3 - 1/4*a**4 + 0*a**2. What is d in s(d) = 0?
0
Let d(t) = t**4 + t**2 + t. Let y(i) = 21*i**4 + 6*i**3 + 18*i**2 + 18*i. Let h(k) = 18*d(k) - y(k). Determine w so that h(w) = 0.
-2, 0
Factor 1/3*a - 1/6*a**2 + 0 - 1/3*a**3 + 1/6*a**4.
a*(a - 2)*(a - 1)*(a + 1)/6
Let g = -61 + 245/4. Let a(d) be the second derivative of 2*d + g*d**4 + 0*d**2 + 1/30*d**6 + 0 + 1/6*d**3 + 3/20*d**5. Solve a(v) = 0.
-1, 0
Let u = -12 - -14. Suppose r = -u*r. Solve r - 2/7*z + 2/7*z**2 = 0.
0, 1
Factor 4/11*a**2 + 0*a + 2/11*a**5 - 6/11*a**3 + 0 + 0*a**4.
2*a**2*(a - 1)**2*(a + 2)/11
Let s(f) be the third derivative of f**5/330 + f**4/66 - 8*f**3/33 - 4*f**2. Factor s(b).
2*(b - 2)*(b + 4)/11
Let c(s) be the first derivative of 1 - 2/33*s**3 - 1/22*s**4 + 0*s + 0*s**2. Determine f, given that c(f) = 0.
-1, 0
Let a(c) = -c**4 - 4*c**3 + 4*c**2 - 9*c. Let o(t) = t**3 + t. Let y(x) = -3*a(x) - 15*o(x). Let y(u) = 0. What is u?
-2, 0, 1, 2
Let s = 42 - 28. Let o = 14 - s. Solve 0 - 1/3*h**2 + o*h = 0.
0
Let s(u) be the third derivative of u**2 + 1/480*u**6 + 1/96*u**4 + 0 + 0*u**3 + 1/120*u**5 + 0*u. Factor s(g).
g*(g + 1)**2/4
Factor -3 - 1 + 3*p**2 + 3*p + 4.
3*p*(p + 1)
Let y(v) be the third derivative of v**7/315 - v**6/60 - v**5/90 + v**4/12 + 25*v**2. Find a, given that y(a) = 0.
-1, 0, 1, 3
Let z(k) be the second derivative of 3*k**5/20 + 7*k**4/6 + 17*k**3/6 + 3*k**2 + 25*k + 1. Factor z(i).
(i + 1)*(i + 3)*(3*i + 2)
Suppose r = -f - r, r = -4*f. Let w(a) be the second derivative of 0*a**2 + 1/10*a**5 + f + 0*a**4 + 2*a - 1/3*a**3. Find q, given that w(q) = 0.
-1, 0, 1
Suppose -5*z = 5*z - 4*z. Solve z - 3/5*l**3 - 6/5*l + 9/5*l**2 = 0 for l.
0, 1, 2
Suppose -3*z = 5*m + 17, -z + 1 = 5. Let v be 1 + m - (-8)/10. Let 6/5*u + 2/5*u**2 + v = 0. What is u?
-2, -1
Let o be (5 - (3 + 0)) + 2. Let r be ((-28)/3)/o + 4. Factor -2/3*k**2 + 5/3*k**3 - r*k + 2/3.
(k - 1)*(k + 1)*(5*k - 2)/3
Solve -3/2*t**2 - 2*t - 1/2*t**4 + 2 + 2*t**3 = 0 for t.
-1, 1, 2
Let t(f) be the first derivative of -f**4/22 + 2*f**3/11 - 1. Let t(x) = 0. What is x?
0, 3
Let a(s) be the third derivative of 1/20*s**5 + 1/120*s**6 + 1/12*s**4 + 4*s**2 + 0*s + 0 + 0*s**3. Solve a(n) = 0 for n.
-2, -1, 0
Let u(h) be the first derivative of -h**4/66 - 2*h**3/33 - h**2/11 - 3*h + 2. Let b(k) be the first derivative of u(k). Find t such that b(t) = 0.
-1
Let o(d) be the first derivative of -1/2*d**2 + 1/6*d**3 + 3 + 1/2*d. Factor o(f).
(f - 1)**2/2
Let n = -48 + 146/3. Find a, given that 14/3*a**3 - 2/3*a**4 + 2/3*a**2 - 4*a**5 - n*a + 0 = 0.
-1, -1/2, 0, 1/3, 1
Suppose 4 = j + 3*j. Let w be -1 - (5/(-4))/j. Factor -w*m**2 + 1/4 + 0*m.
-(m - 1)*(m + 1)/4
Suppose -2 = -2*p - 4*j + 4, 5*p - 3 = -4*j. Let t = 2 - p. Let -1/2*n**2 - 3/4*n**5 - 2*n**4 + 0 + 0*n - 7/4*n**t = 0. What is n?
-1, -2/3, 0
Let x = -29/60 - -13/12. Factor -1/5*c**3 + x*c + 0*c**2 - 2/5.
-(c - 1)**2*(c + 2)/5
Let n(f) be the third derivative of 0*f**3 + 0*f + 0 + 1/300*f**5 + 1/120*f**4 + 5*f**2. Find g such that n(g) = 0.
-1, 0
Factor -10/3*g - 2/3*g**3 - 8/3*g**2 - 4/3.
-2*(g + 1)**2*(g + 2)/3
Let d(x) be the third derivative of x**7/3780 + x**6/135 + 4*x**5/45 + 7*x**4/24 - x**2. Let n(h) be the second derivative of d(h). Suppose n(i) = 0. What is i?
-4
Factor -4/3 + 4/3*a + 26/3*a**3 + 7/3*a**4 + 9*a**2.
(a + 1)**2*(a + 2)*(7*a - 2)/3
Suppose -7*b + t + 31 = -2*b, -4*t = -2*b - 2. Suppose 0 = 4*m - 20, -2*o + b*o + 5*m = 50. What is q in 1/3*q**4 - 1/3*q - 2/3*q**o + 0 - 1/3*q**2 + q**3 = 0?
-1, -1/2, 0, 1
Let b be ((-3)/2)/(1/2). Let m = 1 - b. Find o such that o**m - 2*o**4 + 2*o**3 - 3*o**3 = 0.
-1, 0
Let n be -1 + (-5)/(-8 + 3). Let k(w) be the second derivative of -2/3*w**3 + 2*w + w**2 + n + 1/6*w**4. Factor k(h).
2*(h - 1)**2
Let t(a) = 8*a**4 - 8*a**3 + 6*a**2. Let j(h) = 7*h**4 - 8*h**3 + 6*h**2. Let x(d) = -6*j(d) + 5*t(d). Solve x(i) = 0.
0, 1, 3
Factor -4/5*s**3 + 2/5*s**4 + 0 + 0*s + 2/5*s**2.
2*s**2*(s - 1)**2/5
Let a(g) be the second derivative of -3*g**8/2240 - g**7/420 + 7*g**4/12 - 4*g. Let j(t) be the third derivative of a(t). Find h such that j(h) = 0.
-2/3, 0
Factor 3*q**2 + 18*q + 66 + 57*q - 36*q.
3*(q + 2)*(q + 11)
Suppose -1 = -7*l + 6*l. Let a(k) be the first derivative of 3/8*k**4 - 1/2*k**2 + l + 0*k - 1/6*k**3. Factor a(t).
t*(t - 1)*(3*t + 2)/2
Let j(u) = u**2 - 4*u + 4. Let d be j(4). Suppose 0 = -4*w + w. Determine s so that -1/2*s**5 + s**3 + 0 + 0*s**d + w*s**2 - 1/2*s = 0.
-1, 0, 1
Suppose 27/2*m**4 - 9/2*m**3 - 15/2*m**2 - 3/2*m + 0 = 0. What is m?
-1/3, 0, 1
Let x be (5/5)/((-2)/(-4)). Let 2*g**2 - g**2 + 2*g**3 - 4*g - 6*g**4 + 0*g**5 + 2*g**5 + 5*g**x = 0. What is g?
-1, 0, 1, 2
Let j = 53 - 47. Let n(k) be the third derivative of 1/12*k**4 + 0*k**3 - 1/168*k**8 + 0*k + 0 + 0*k**j - 2/105*k**7 + 3*k**2 + 1/15*k**5. Factor n(q).
-2*q*(q - 1)*(q + 1)**3
Let a = -1 + 2. Let s be (a - -1)*(-72)/(-42). Factor -8/7 - 26/7*o**2 - 2/7*o**4 - 12/7*o**3 - s*o.
-2*(o + 1)**2*(o + 2)**2/7
Let p be (-4)/3*(-2 + -1). Let n(j) be the second derivative of 0 - 1/3*j**3 + 2/7*j**2 - 2/21*j**p - j. Find r, given that n(r) = 0.
-2, 1/4
Suppose 3*b - 8 = -2. Factor 36*n + 4 + 37*n**b - 28 + 101*n**2 + 21*n**4 - 22*n**3 + 121*n**3.
3*(n + 1)*(n + 2)**2*(7*n - 2)
Suppose 5*x - 67 = -3*z + 13, 2*x + 3*z = 32. Suppose 3*w + 0*w = -r + x, 3*r = 3*w. Factor 6*y - 2*y**3 - 8*y**2 - 2 + w*y**3 + 2*y**2.
2*(y - 1)**3
Suppose 0 = 3*f - 4*f + 9. Let d be (-4)/12 + 3/f. Factor d + 0*y**3 + 1/5*y**4 + 0*y**2 + 0*y + 1/5*y**5.
y**4*(y + 1)/5
Let s(b) be the second derivative of 9/8*b**5 - 5/12*b**6 - 4*b + 0 + 0*b**2 - b**4 + 1/3*b**3. Factor s(p).
-p*(p - 1)*(5*p - 2)**2/2
Let j(c) be the second derivative of c**9/720 + 3*c**8/560 + c**7/280 - c**6/120 - c**4/12 + 2*c. Let i(x) be the third derivative of j(x). Factor i(d).
3*d*(d + 1)**2*(7*d - 2)
Let c(r) = -r**3 - r**2 + 17*r + 2. Let k be c(0). Factor 0 + 2/5*p**k + 0*p**3 + 0*p - 2/5*p**4.
-2*p**2*(p - 1)*(p + 1)/5
Let l(h) = h**2 - 5*h + 3. Let b(x) = -2 + 4*x + x + 0*x - x**2 - x. Let n(y) = 3*b(y) + 2*l(y). Suppose n(k) = 0. Calculate k.
0, 2
Let f be ((-33)/(-12) + -3)/((-13)/104). Determine w, given that 0 + 0*w**3 - 2/9*w**4 + 0*