127*a - 839. Let z(c) = o*v(c) + 10*m(c). Determine i, given that z(i) = 0.
-13
Let w(r) = 10*r - 8. Let y be w(1). Let s(m) be the third derivative of -1/420*m**7 + 0 + 1/480*m**6 + 1/240*m**5 + 0*m**4 + 0*m + 0*m**3 + m**y. Factor s(n).
-n**2*(n - 1)*(2*n + 1)/4
Let u = 10003 + -10003. Factor -3/8*z**4 + 0 + u*z**2 - 3/8*z**5 + 0*z**3 + 0*z.
-3*z**4*(z + 1)/8
Factor -13*m**3 - 79/3*m**2 - 1/3 - 41/3*m.
-(m + 1)**2*(39*m + 1)/3
Let f(y) be the second derivative of y**6/90 - y**5/10 + y**4/3 + 13*y**3/6 + 9*y. Let h(o) be the second derivative of f(o). Find s such that h(s) = 0.
1, 2
Let h(i) be the second derivative of i**6/75 - 4*i**5/25 + i**4/2 + 8*i**3/15 - 16*i**2/5 + 311*i. Let h(x) = 0. What is x?
-1, 1, 4
Let a be (-2 + (-10)/(-3))*(-276)/(-184). Suppose 1/2*f**a + 0 - 2*f = 0. Calculate f.
0, 4
Let m(w) = -3*w**3 + 4*w**2 + 16*w + 9. Let s(j) = j**2 + j. Let x be 4 + (-2 - 1) - -3. Suppose 3*v + x = 7. Let z(p) = v*s(p) - m(p). Factor z(l).
3*(l - 3)*(l + 1)**2
What is k in 2 + 96*k - 44*k + 4*k**2 - 48*k - 2*k**2 = 0?
-1
Let f be (0 - -1) + 6 + -5. Suppose f*x - 12 = -0. What is n in -x*n**2 - 14*n**4 - 5*n**3 - 14*n**4 + 10*n**2 - n**3 = 0?
-1/2, 0, 2/7
Suppose 126 = 4*k - 10*k. Let t = k - -21. Factor t*o + 1/2*o**2 - 1/2.
(o - 1)*(o + 1)/2
Let d(p) = 3*p**3 - 4*p + 3. Let z be d(1). Factor -78*c**3 + 2*c**4 - 4*c - 4*c**2 + 82*c**3 + z*c**4.
4*c*(c - 1)*(c + 1)**2
Let p(d) be the third derivative of 11*d**8/504 + 8*d**7/105 + d**6/45 - 11*d**5/45 - 5*d**4/12 - 2*d**3/9 - 117*d**2. Find k, given that p(k) = 0.
-1, -2/11, 1
Suppose 2*x = -4*w, 4*w = -4 - 0. Factor 9 + 10*p**x + 16*p - 84*p + 44*p - 1.
2*(p - 2)*(5*p - 2)
Solve -9*o - 1/2*o**2 - 17/2 = 0.
-17, -1
Factor -7*k + 9*k**3 + 0*k - 24*k**2 - 5*k**3 + 24 + 10*k - 7*k.
4*(k - 6)*(k - 1)*(k + 1)
Factor r**4 + 55*r**2 - 28*r**2 + 3*r**5 - 15*r**4 + 9*r**3 - r**4.
3*r**2*(r - 3)**2*(r + 1)
Suppose 0*r + 12 = r - i, 0 = r + 2*i + 6. Factor r*h + 0 + 3/4*h**4 + 9*h**2 + 9/2*h**3.
3*h*(h + 2)**3/4
Suppose -708*p - 3 = -735*p - 3. Solve -8/9*a**2 + p*a - 4/9*a**3 + 0 = 0.
-2, 0
Let d(b) be the third derivative of -b**7/315 - 8*b**6/45 - 2*b**5/3 - 386*b**2. Factor d(h).
-2*h**2*(h + 2)*(h + 30)/3
Suppose -5*l - d + 10 = 0, -4*d = l - 4 + 2. Suppose 3*r - 2 = l*r. Determine o so that -2*o**3 + 2*o**3 - 5*o**3 + 15*o**r = 0.
0, 3
Let q(p) be the third derivative of p**7/1155 + 7*p**6/660 + p**5/33 - 367*p**2. Find y, given that q(y) = 0.
-5, -2, 0
Factor -2*h**2 - 95 - 195*h - 5*h**2 - 5*h**3 - 22*h**2 - 76*h**2.
-5*(h + 1)**2*(h + 19)
Let s(v) be the first derivative of -1 - 1/24*v**4 + 0*v**3 - v + 1/4*v**2. Let l(z) be the first derivative of s(z). Find m such that l(m) = 0.
-1, 1
Let i(b) = -b**3 + 7*b**2 + 2*b - 6. Let j be i(7). Suppose j + 4 = 3*s. Factor 2*n**2 + 0*n**s - 1 + 0*n**4 - n**4 + 0*n**2.
-(n - 1)**2*(n + 1)**2
Let x(z) be the second derivative of -z**4/9 - 10*z**3/3 + 36*z**2 + 24*z. Suppose x(f) = 0. What is f?
-18, 3
Let l = -13 + 2. Let c(f) = 2*f**5 + 10*f**4 - 2*f**2 + 2*f. Let q(x) = 9*x**5 + 51*x**4 - 11*x**2 + 11*x. Let j(b) = l*c(b) + 2*q(b). Factor j(v).
-4*v**4*(v + 2)
Let i(o) = -o**3 + o - 1. Let t be ((-8)/4)/(-2)*(-9 - -3). Let r(y) = 4*y**4 + 10*y**3 - 20*y**2 + 6*y + 6. Let p(q) = t*i(q) - r(q). Factor p(c).
-4*c*(c - 1)**2*(c + 3)
Let b be -12*2/(-8)*-2. Let w(h) = 12*h + 4*h + 4*h**2 - 9*h**2 - 4 - h. Let d(r) = -6*r**2 + 16*r - 4. Let j(u) = b*d(u) + 4*w(u). Factor j(q).
4*(q - 2)*(4*q - 1)
Factor 31217*t**2 - 31217*t**2 + 2*t**5 - 8*t**3.
2*t**3*(t - 2)*(t + 2)
Factor 21/8*a**2 + 15/4*a + 3/8*a**3 + 0.
3*a*(a + 2)*(a + 5)/8
Suppose -8 = 534*h - 536*h. Let m(j) be the third derivative of -j**2 - 1/24*j**h + 0 + 1/20*j**5 + 0*j**3 - 1/40*j**6 + 1/210*j**7 + 0*j. Factor m(t).
t*(t - 1)**3
Let o = -662 + 667. Let b(w) be the third derivative of w**2 + 0 - 3/2*w**3 + 0*w + 1/2*w**4 - 1/20*w**o. Factor b(d).
-3*(d - 3)*(d - 1)
Let -44/3*x**2 + 0*x + 64/3 - 2/3*x**4 + 6*x**3 = 0. What is x?
-1, 2, 4
Let s = 9772 - 29308/3. Determine n so that -1/3*n**3 - 7*n - 6 - s*n**2 = 0.
-3, -2
Let b(s) be the third derivative of -s**8/12 - 6*s**7/35 + 19*s**6/30 + 41*s**5/15 + 4*s**4 + 8*s**3/3 - 60*s**2. Let b(g) = 0. Calculate g.
-1, -2/7, 2
Suppose 8*p - 9*p + 266 = 0. Factor -54*k + 23*k**2 + 7 - 10 - p*k**2.
-3*(9*k + 1)**2
Suppose 0 = -b - 59 + 61. Solve 2/9*y**b + 0 + 2/9*y = 0 for y.
-1, 0
Let w be -4 - (-2 + -10 + 5). Let z be w - (-2)/(-3) - 2. Solve -4/3*m**3 - 5/3*m**2 - 2/3*m - z*m**4 + 0 = 0 for m.
-2, -1, 0
Suppose 0 = -5*r + 4*a + 6, -2*a + 4 = r. Suppose -10*h**3 - 5*h**3 + 5*h**r + 3*h**2 + 12*h**4 - 5*h**2 = 0. What is h?
0, 1/4, 1
Let s(k) be the first derivative of -k**6/30 + 3*k**5/20 - k**4/4 + k**3/6 - 2*k + 5. Let a(j) be the first derivative of s(j). Determine q so that a(q) = 0.
0, 1
Let j(h) be the first derivative of -3*h**5/100 + h**4/10 + 3*h**3/10 - 30*h + 19. Let u(r) be the first derivative of j(r). Factor u(g).
-3*g*(g - 3)*(g + 1)/5
Let z(p) be the first derivative of -450*p - 2/3*p**3 - 30*p**2 - 48. What is m in z(m) = 0?
-15
Suppose -2*t = 8 - 16. Factor -16 + 3*x**4 + 30*x - 22*x**3 + 3*x**t - 6*x + 12*x**2.
2*(x - 2)**2*(x + 1)*(3*x - 2)
Let x(h) = -5*h**4 - 355*h**3 + 20*h**2 + 325*h. Let i(k) = k**4 + 89*k**3 - 5*k**2 - 81*k. Let t(f) = -15*i(f) - 4*x(f). Factor t(o).
5*o*(o - 1)*(o + 1)*(o + 17)
Let h(b) be the first derivative of -b**6/2 - 12*b**5/5 - 15*b**4/4 - 2*b**3 + 105. Factor h(y).
-3*y**2*(y + 1)**2*(y + 2)
Let s(t) be the second derivative of -t**7/42 + 2*t**6/15 - t**5/20 - t**4/2 + 82*t. Factor s(j).
-j**2*(j - 3)*(j - 2)*(j + 1)
Let f(g) = 7*g**2 + 23*g - 78. Let j(n) = n**2 - n - 3. Let d(o) = -f(o) + 4*j(o). Suppose d(y) = 0. What is y?
-11, 2
Let x(f) = -f**2 + 17*f - 20. Let u(h) = 6*h**2 - 120*h + 141. Let z(d) = -4*u(d) - 27*x(d). Factor z(a).
3*(a - 1)*(a + 8)
Let z(s) = -s**4 - 2*s**3 + 2*s + 1. Let x(y) = -6*y - 6. Let t be x(-2). Let f(n) = n**4 - 1. Let q(j) = t*f(j) + 3*z(j). Suppose q(v) = 0. What is v?
-1, 1
Let s(l) be the third derivative of -l**5/140 - 3*l**4/14 - 401*l**2. Factor s(c).
-3*c*(c + 12)/7
Let z(g) be the first derivative of -g**4/18 + 10*g**3/27 - g**2/3 - 2*g + 56. Factor z(b).
-2*(b - 3)**2*(b + 1)/9
Let o be 6/2*(-41)/(-24). Let c be (1/(-5))/(5*(-2)/100). Let 15/8*i**5 - 1/2 - 3*i + 9/8*i**3 - 37/8*i**c + o*i**4 = 0. What is i?
-2, -1, -2/5, -1/3, 1
Let m = 111 + -105. Suppose -12*o + m + 30 = 0. Find j such that 1/8*j**4 + 0 - 1/4*j**o + 1/8*j**5 + 0*j + 0*j**2 = 0.
-2, 0, 1
Let q be -2*(-28)/24 + (-6)/12. Solve -10*s**3 + 1/6 - q*s**2 + 50/3*s**4 + s = 0.
-1/5, 1/2
Let i(g) be the second derivative of 9*g - 1/15*g**3 + 0*g**2 + 1/100*g**5 - 1/20*g**4 + 1/210*g**7 + 1/50*g**6 + 0. Factor i(h).
h*(h - 1)*(h + 1)**2*(h + 2)/5
Suppose 14*y = 21*n - 16*n + 13, -n + 11 = 4*y. Factor -208/3*a + 676/3*a**y + 16/3.
4*(13*a - 2)**2/3
Let l(q) = 25*q**3 - 2915*q**2 + 18900*q - 26945. Let w(y) = -y**3 + 108*y**2 - 700*y + 998. Let a(v) = 2*l(v) + 55*w(v). Factor a(u).
-5*(u - 10)**2*(u - 2)
Let m(o) be the first derivative of o**4/14 - 16*o**3/21 - 48. Determine x, given that m(x) = 0.
0, 8
Let y(r) be the first derivative of -r**6/1440 + r**5/120 + 5*r**4/96 - 20*r**3/3 - 5. Let t(l) be the third derivative of y(l). Factor t(c).
-(c - 5)*(c + 1)/4
Let u = 18 - 3. Suppose 0 = 5*y + 5*c - 0*c, -y + u = -4*c. Determine b so that 1/2*b**2 + 0 + 1/4*b**y + 1/4*b = 0.
-1, 0
Suppose 0 = -4*q + 3*m - 9, 4*m + 2 - 14 = 0. Determine j, given that -5/3*j**3 - 5/3*j**2 + 5/3*j + q + 5/3*j**4 = 0.
-1, 0, 1
Let y(p) be the third derivative of 0*p - 1/15*p**5 + 0 - 11*p**2 + 4/3*p**3 + 1/6*p**4. What is j in y(j) = 0?
-1, 2
Let x(m) be the third derivative of 0 + 0*m**3 + 24*m**2 + 0*m**4 + 1/480*m**6 + 0*m + 1/240*m**5. Determine t so that x(t) = 0.
-1, 0
Let j be (1/(-2))/((-144)/864). Let m(d) be the third derivative of 0 + 10*d**2 + 1/15*d**5 - 4/21*d**j + 0*d + 5/42*d**4. What is l in m(l) = 0?
-1, 2/7
Let v = 77 + -35. Solve 11 - v*s + 5 + s**2 + 50*s = 0.
-4
Suppose 2*v = 3*w + 4, 3*v = -6*w + 4*w + 19. Suppose 0 = -5*g + 2*g + 15. Find m such that g*m + 2*m**w - 5*m - 5*m + m = 0.
0, 2
Suppose -2352 + 112*b - 4/3*b**2 = 0. What is b?
42
Let n(x) be the first derivative of -5*x**3/