t j(n) be the second derivative of -7*n + 0*n**3 + 0 - 1/3*n**4 + 2*n**z. Factor j(s).
-4*(s - 1)*(s + 1)
Let u(q) be the first derivative of q**3/6 - 2*q**2 + 8*q - 113. Factor u(w).
(w - 4)**2/2
Let s(x) be the second derivative of x**5/90 + 8*x**4/27 - 19*x**3/27 - 34*x**2/9 - 69*x. Suppose s(i) = 0. What is i?
-17, -1, 2
Let t(m) = 4*m**2 - m. Let s be t(-1). Let p = s - 5. Factor p*y**4 - 29*y**3 + 2*y**2 + 27*y**3 - 2*y**4 + 2*y.
-2*y*(y - 1)*(y + 1)**2
Let x(i) be the third derivative of i**7/735 - 11*i**6/210 + 121*i**5/210 - 174*i**2. Factor x(w).
2*w**2*(w - 11)**2/7
Find j, given that -7/3*j**4 + 14/3*j**3 - 5/3*j**2 + 0*j + 0 - 2/3*j**5 = 0.
-5, 0, 1/2, 1
Let m be (3 - -12)*(-66)/(-825). Suppose m - 3*k - 3/5*k**4 + 9/5*k**2 + 3/5*k**3 = 0. What is k?
-2, 1
Let o(c) be the second derivative of 0 - 2/5*c**5 + 0*c**4 - 2/15*c**6 + 4/3*c**3 + 11*c + 2*c**2. Factor o(x).
-4*(x - 1)*(x + 1)**3
Let l(b) be the second derivative of b**7/210 - b**6/150 - b**5/100 + b**4/60 + 539*b. Factor l(h).
h**2*(h - 1)**2*(h + 1)/5
Let v = 116 + -113. Factor -2*d**v - 5*d**2 + 5*d + 6*d**3 - 35*d + d**3.
5*d*(d - 3)*(d + 2)
Suppose -1 = -23*c + 22*c. Let x(a) = 3*a + 1. Let w be x(c). Solve 3*r**5 + 0*r + 12/5*r**2 - 39/5*r**w + 0 + 12/5*r**3 = 0 for r.
-2/5, 0, 1, 2
Suppose -14/11*h**2 + 2/11*h**3 + 0 - 16/11*h = 0. Calculate h.
-1, 0, 8
Let c(s) = -s**4 + 22*s**3 + 20*s**2 - 36*s. Let n(z) = -3*z**4 + 54*z**3 + 51*z**2 - 90*z. Let m(w) = 12*c(w) - 5*n(w). Factor m(a).
3*a*(a - 3)*(a - 1)*(a + 2)
Let t = -1069 - -1074. Let a(s) be the third derivative of -1/3*s**3 + 0*s + 0 - 1/6*s**4 - 5*s**2 - 1/30*s**t. What is c in a(c) = 0?
-1
Let h(m) be the first derivative of 2 - 1/30*m**5 + 0*m**2 - 4/9*m**3 - 2/9*m**4 - 6*m. Let d(a) be the first derivative of h(a). Factor d(n).
-2*n*(n + 2)**2/3
Factor 3/4*z**4 + 0*z - 3/4*z**3 + 0*z**2 + 0.
3*z**3*(z - 1)/4
Suppose -2*d - 5*w + 3*w + 16 = 0, -5*d - 2*w = -25. Let q be 85/(-34)*16/(-20). Factor 4/5*g**d + 6/5*g**q + 0*g - 2/5.
2*(g + 1)**2*(2*g - 1)/5
Let l be (-6)/8 + 33/12. Suppose 0 = 108*j - 70*j. Let j + 3/2*m - 1/2*m**l = 0. What is m?
0, 3
Find g such that -10568/11*g**3 - 512000/11 - 167360/11*g**2 - 248/11*g**4 - 2/11*g**5 - 550400/11*g = 0.
-40, -2
Find f such that 120/7 - 8*f - 2/7*f**2 = 0.
-30, 2
Let k be (6/(-8))/(9/(-36)). Factor -16 - 25*d + 10*d - 17*d - 5*d**4 + 24*d**2 + 8*d**k.
-(d - 2)**2*(d + 2)*(5*d + 2)
Let n be (85/10)/(2/(-6)). Let q = 26 + n. Let 0*w + w**2 + 0 + 2*w**4 + 5/2*w**3 + q*w**5 = 0. What is w?
-2, -1, 0
Let f be 1/(7/2 - 2). Let t be 2 + (-11 - (336/12)/(-2)). What is u in 2/3*u**3 + f*u**4 + 0 - 2/3*u**2 + 0*u - 2/3*u**t = 0?
-1, 0, 1
Suppose 0 = -11766*t + 11784*t - 54. Solve 0 - 1/3*a**t + 2/3*a**2 + 1/3*a - 2/3*a**4 = 0.
-1, -1/2, 0, 1
Let b(u) be the third derivative of -u**8/2240 + u**7/840 + u**4/24 + 7*u**2. Let m(a) be the second derivative of b(a). Factor m(t).
-3*t**2*(t - 1)
Let n(d) be the second derivative of -4*d + 0 - 2/15*d**5 + 2/15*d**3 - d**2 + 1/20*d**4. Let m(l) be the first derivative of n(l). Suppose m(x) = 0. What is x?
-1/4, 2/5
Let h(v) = 7*v**2 - 3*v + 2. Let d(t) = -3*t + 6*t - 3 - 11*t**2 + 3*t**2. Let c(k) = -6*d(k) - 7*h(k). What is w in c(w) = 0?
-1, 4
Let t be 1 + 3*(-5)/15. Suppose t = -i + 3*v - 1, 2*v - 3*v - 5 = -3*i. Let 4*f**i + 27*f**3 + 0 - 12*f - 2 - 20*f**4 + 4*f - f = 0. Calculate f.
-2/5, -1/4, 1
Let v(y) be the first derivative of -2/3*y**3 + 2*y + y**2 - 1/2*y**4 - 9. Factor v(r).
-2*(r - 1)*(r + 1)**2
Let b(p) be the first derivative of 2*p**4/3 - 4*p**3/3 + 2*p**2/3 + 160. Find h, given that b(h) = 0.
0, 1/2, 1
Let o = -58 + 63. Suppose -4*a + 11 - 3 = 0. Find v such that -5*v**a - 5*v**4 + 3*v**3 + 8*v**4 + 2*v**2 - 3*v**o = 0.
-1, 0, 1
Suppose -5*s**4 + 8*s**4 + 8*s**2 + 2*s**5 + 7*s**4 + 16*s**3 = 0. What is s?
-2, -1, 0
Let g(w) be the third derivative of w**6/480 + w**5/48 - w**4/3 + 3*w**3/2 + w**2 + 19. Find y such that g(y) = 0.
-9, 2
Let g(k) = k + 3. Let w be g(1). Find i, given that -6*i**w - 6 - 9*i**3 + 9*i**4 + 0*i**2 + 3*i**2 + 9*i = 0.
-1, 1, 2
Let q = -106 - -148. Factor -2*m**2 - q*m + 84*m - 38*m.
-2*m*(m - 2)
Let j be (-28)/(-3 - 4)*((-45)/100)/(-3). Find w such that -j*w**4 + 0*w**3 + 3*w**2 - 12/5 + 0*w = 0.
-2, -1, 1, 2
Suppose -d - 1 = -t, -2*d - 3*d = 2*t - 23. Suppose -5*u + 3*u = -t. Determine a so that 4/9*a**u + 2/9*a + 0 = 0.
-1/2, 0
Suppose 2 + 6 = 8*y. Let p(h) = -8*h**3 - 16*h**2 - 24*h - 12. Let l(z) = z**3 + z + 1. Let a(o) = y*p(o) + 4*l(o). Find t, given that a(t) = 0.
-2, -1
Let o(i) be the second derivative of -i**4/21 - 6*i**3/7 + 44*i**2/7 + 33*i - 1. Solve o(q) = 0 for q.
-11, 2
Let p be 522/72 - 10*1/8. Let j(z) be the third derivative of 1/16*z**4 + 0 - 1/320*z**p + 0*z**5 + 0*z**3 + 0*z + 2*z**2. Factor j(l).
-3*l*(l - 2)*(l + 2)/8
Let s(z) = z**2 - 11*z - 22. Let v(b) = -2*b**2 + 34*b + 65. Let r(y) = -11*s(y) - 4*v(y). Factor r(t).
-3*(t + 2)*(t + 3)
Let s = 15 - 12. Suppose 0*d - 5*d = -3*t - 9, s*d + 5*t = 19. Find u such that u**3 - u**d + 3*u**3 - 3*u = 0.
-1, 0, 1
Let y(c) = -c**3 + c**2 + 74*c - 264. Let d be y(6). Factor d - 2/7*f**4 + 0*f + 2/7*f**2 + 0*f**3.
-2*f**2*(f - 1)*(f + 1)/7
Let y(f) = -f**2 + 4*f + 6. Let o be (-79)/7 - (-6)/21. Let n(b) = -b**2 + 9*b + 11. Let d(k) = o*y(k) + 6*n(k). Find u such that d(u) = 0.
-2, 0
Let d be (20/(-5))/(4/(-58)). Factor -2*w**5 + 2*w**3 - 2*w**2 - d*w + 2*w**4 + 58*w.
-2*w**2*(w - 1)**2*(w + 1)
Factor -q**5 + 24*q**3 + 1468*q**3 - 16875 + 1438*q**3 + 6*q**5 - 10350*q**2 - 215*q**4 - 30375*q.
5*(q - 15)**3*(q + 1)**2
Let y(o) = 45*o**3 + 360*o**2 - 430*o - 65. Let m(w) = -4*w**3 - 33*w**2 + 39*w + 6. Let p(h) = 65*m(h) + 6*y(h). Factor p(j).
5*j*(j + 3)*(2*j - 3)
Factor 0*p**5 + 16 + 51*p + 11*p**3 + 19*p**2 - 89*p - p**5 - 7*p**4.
-(p - 1)**3*(p + 2)*(p + 8)
Let f = 311761/420 - 5196/7. Let o(k) be the third derivative of -5/48*k**4 - f*k**7 + 1/6*k**3 + 0 + 1/40*k**5 + 5*k**2 + 0*k + 1/240*k**6. Factor o(v).
-(v - 1)**3*(v + 2)/2
Let x(w) be the first derivative of w**4/16 + 3*w**3/4 + 15*w**2/8 + 7*w/4 - 4. Factor x(m).
(m + 1)**2*(m + 7)/4
Let v(y) be the first derivative of 4*y**5/15 - 4*y**3/3 - 4*y**2/3 - 452. Factor v(u).
4*u*(u - 2)*(u + 1)**2/3
Let i = 1 + 9. Let n = -8 + i. Factor 2 - 226*r**n + 229*r**2 - 2.
3*r**2
Let f be 0/(-9 + (-9)/(-7)*504/108). Factor 0*x**4 + 2/7*x**5 - 4/7*x**3 + f*x**2 + 2/7*x + 0.
2*x*(x - 1)**2*(x + 1)**2/7
Suppose 5*l - 1/8*l**4 + 15/8*l**2 - 11/2 - 5/4*l**3 = 0. Calculate l.
-11, -2, 1, 2
Let n(j) be the first derivative of j**4/16 + j**3/4 - 27. Factor n(x).
x**2*(x + 3)/4
Suppose 13*u - 26 = -7*u + 14. Suppose -25/3*i**3 - 5/3*i**u + 16/3*i - 4/3 = 0. Calculate i.
-1, 2/5
Let i(m) be the third derivative of 2/21*m**4 - 1/70*m**5 + 1/735*m**7 + 0*m + 34*m**2 - 1/210*m**6 - 4/21*m**3 + 0. What is c in i(c) = 0?
-2, 1, 2
Let o(l) = 3*l**2 - 4*l - 2. Let k be o(2). Let z(y) = -y**3 + 5*y**2 - 17*y - 3. Let x(m) = -2*m**2 + 8*m + 2. Let s(q) = k*z(q) + 5*x(q). Factor s(v).
-2*(v - 2)*(v + 1)**2
Suppose -5*w + 35 = -2*s + 3*s, 0 = 3*s - 3*w - 33. What is z in -s*z**3 - 13*z**3 + 27*z**3 - z + 2*z**2 = 0?
0, 1
Factor 15 + 3/4*u**2 + 63/4*u.
3*(u + 1)*(u + 20)/4
Let d = 77/34 + -30/17. Let f(b) be the first derivative of d*b**4 - 1 + 0*b + 0*b**2 - 2/3*b**3. Determine t so that f(t) = 0.
0, 1
Suppose 2*n - 19 = 5*s + 46, -4*n = 3*s - 91. Suppose 3*j = 2*f - n, 0 = 4*f - 5*f + 3*j + 5. Factor 40 - 90*p**2 + 61*p + 35*p**3 - 62*p + f*p**4 - 139*p.
5*(p - 2)*(p + 2)**2*(4*p - 1)
Factor -3/4*d**2 - 1/3*d**3 + 1/12*d + 1/2.
-(d + 1)*(d + 2)*(4*d - 3)/12
Let d = 9 - 5. Suppose 6 = a + d. Find f such that -f**2 + a*f**2 + 0*f**5 + 3*f**5 + f**4 - 3*f**3 - 2*f**4 = 0.
-1, 0, 1/3, 1
Let i(a) be the second derivative of -a**6/396 + a**5/110 - a**4/132 + 2*a**3/3 - 2*a. Let n(j) be the second derivative of i(j). Factor n(k).
-2*(k - 1)*(5*k - 1)/11
Let t(b) = 12*b**2 - b - 2. Let z be t(2). Let m be 2/3*(20/z + 5). Suppose 42/11*g**2 - m*g + 40/11*g**3 + 8/11 - 50/11*g**4 = 0. What is g?
-1, 2/5, 1
Let o(m) be the third derivative of m**6/480 + 7*m**5/20 + 147*m**4/8 - 42*m**2 + 1. Factor o(d).
d*(d + 42)**2/4
Let k(w) = w**3 + 17*w**2 - 5*w - 16. Let c(a) = 2*a**3 + 42*a**2 - 12*a - 40. Let