2 - 16209*f**4 - f**5.
4*(f + 1)**3*(f + 2)*(f + 11)
Find n, given that 7*n + 13*n - 4*n**2 - 124 + 87 + 93 = 0.
-2, 7
Let o(p) be the second derivative of p**8/8400 - p**7/1400 - p**6/360 + p**5/200 - 11*p**4/4 - 15*p. Let l(n) be the third derivative of o(n). Factor l(w).
(w - 3)*(w + 1)*(4*w - 1)/5
Let f(o) = -1 - 1 - 3*o - 1. Let n be f(-6). Factor 7*m - m + 21*m**2 - 13*m**4 - n*m**3 + m**4.
-3*m*(m - 1)*(m + 2)*(4*m + 1)
Let s be (-3196)/(-8364) - 6/123. Determine h, given that 7/3*h - 5/3*h**2 + s*h**3 - 1 = 0.
1, 3
Let p(h) be the third derivative of h**6/96 + h**5/48 - 5*h**4/96 - 5*h**3/24 - 463*h**2. Suppose p(r) = 0. Calculate r.
-1, 1
Factor -5/2*i**4 + 5/2*i**5 + 0*i + 0*i**2 + 0*i**3 + 0.
5*i**4*(i - 1)/2
Let f(g) be the first derivative of g**4/2 + 4*g**3 - 84. Determine b so that f(b) = 0.
-6, 0
Let p(a) be the third derivative of -a**5/60 - a**4/24 + a**3/6 - 26*a**2. Let h(v) = -4*v**2 + 3. Let z(r) = 2*h(r) - 6*p(r). Suppose z(i) = 0. What is i?
0, 3
Let z(c) be the third derivative of c**5/75 - 2*c**3/15 + 75*c**2. Factor z(l).
4*(l - 1)*(l + 1)/5
Find s, given that -361/2 - 1/4*s**3 - 285/4*s + 9*s**2 = 0.
-2, 19
Let m(u) = -11*u - 6. Let y be m(-1). Let i(v) be the second derivative of -2/5*v**3 + 0 + 1/50*v**6 + 3/10*v**2 + 3/10*v**4 - 3/25*v**y + 6*v. Solve i(d) = 0.
1
Let a be 3 - (1/1)/(484/76 - 6). Factor 4/7 - a*q - 2/7*q**2.
-2*(q - 1)*(q + 2)/7
Suppose 2*s - 46 = -16. Suppose -5*y + 117 = n + 3*n, 2*y - 5*n - 27 = 0. Determine i, given that 42*i - y*i**2 - 9 - s*i + 3 = 0.
2/7, 1
Let n = 28 + -46. Let j be (n/10 + 3)*5. Factor -8*f**3 - j*f**2 + 3*f**4 + 8*f**3 + 3*f**3.
3*f**2*(f - 1)*(f + 2)
Suppose -4*o + 1080 = 8*o. Let z be ((-10)/o)/(2/(-6)). Find v, given that -z*v - 2/3 + 1/3*v**2 = 0.
-1, 2
Let d = 26 + -24. Let m(l) be the first derivative of 1/3*l**d + 1/3*l + 1/9*l**3 + 4. Factor m(c).
(c + 1)**2/3
Let w(o) be the second derivative of -o**6/1260 - o**5/70 - 3*o**4/28 - 2*o**3 + 19*o. Let f(q) be the second derivative of w(q). Let f(y) = 0. Calculate y.
-3
Let u = 797 + -790. Let p(x) be the second derivative of -3/25*x**5 - 2/5*x**2 - 7/15*x**4 - u*x + 0 - 2/3*x**3. Factor p(b).
-4*(b + 1)**2*(3*b + 1)/5
Let v = 937 - 4701/5. Let m = v - -79/20. Factor -3*a + m + 3*a**2.
3*(2*a - 1)**2/4
Let l = -264966/11 - -24088. Factor l*k + 0*k**2 - 2/11*k**3 + 0.
-2*k*(k - 1)*(k + 1)/11
Let d(h) be the first derivative of -h**6/18 + 52*h**5/15 - 169*h**4/3 + 5. Factor d(n).
-n**3*(n - 26)**2/3
Suppose 20/9*f**2 - 8/3 + 4/9*f**4 + 20/9*f - 20/9*f**3 = 0. Calculate f.
-1, 1, 2, 3
Determine n, given that 10/7*n**5 - 32*n + 106/7*n**4 - 464/7*n**2 + 16/7*n**3 + 160/7 = 0.
-10, -2, -1, 2/5, 2
Determine w so that 0*w + 0*w**2 + 0 + 1/5*w**4 + 4/5*w**3 = 0.
-4, 0
Let k(b) be the first derivative of 3*b**4/4 - 3*b**3 - 15*b**2 + 81. Suppose k(o) = 0. Calculate o.
-2, 0, 5
Let n(o) = 3*o**3 - 94*o**2 + 2213*o + 2. Let u(x) = 4*x**3 - 94*x**2 + 2215*x + 3. Let b(d) = 3*n(d) - 2*u(d). Factor b(y).
y*(y - 47)**2
Let n(w) be the third derivative of -w**8/336 + w**7/70 + w**6/8 + 17*w**5/60 + w**4/4 + 50*w**2 + 2*w. Factor n(z).
-z*(z - 6)*(z + 1)**3
Let x(d) be the first derivative of -d**4/16 + 3*d**2/8 - d/2 - 67. What is w in x(w) = 0?
-2, 1
Let g(a) = -a**2 + 14*a - 30. Let f be g(5). Factor 15*l**4 + 59*l**3 + f*l + 30*l**2 - 29*l**3 + 3 + 5*l**5 - 2*l**5.
3*(l + 1)**5
Let i(n) be the third derivative of 1/8*n**5 + 6*n**2 + 1/16*n**4 + 1/20*n**6 + 0 + 0*n + 0*n**3. Solve i(w) = 0 for w.
-1, -1/4, 0
Let w(i) be the second derivative of 0 + 1/60*i**6 - 1/3*i**3 - 3/4*i**2 + 1/10*i**5 + 10*i + 1/12*i**4. Let w(s) = 0. Calculate s.
-3, -1, 1
Let g(m) be the second derivative of 25*m**9/12096 + m**8/1344 - m**7/210 + m**6/360 + 5*m**3/3 - 10*m. Let b(q) be the second derivative of g(q). Factor b(w).
w**2*(w + 1)*(5*w - 2)**2/4
Let f(h) be the second derivative of h**4/12 + 14*h**3 + 882*h**2 - h - 1. Find r, given that f(r) = 0.
-42
Suppose 51*a - 20 = 47*a. Suppose y - a = -0*y. Determine z so that -14/13*z**y + 4/13*z + 2/13*z**2 - 30/13*z**3 + 0 + 38/13*z**4 = 0.
-2/7, 0, 1
Let k(v) be the third derivative of 5*v**8/336 + v**7/14 + v**6/24 - v**5/4 - 5*v**4/12 - 25*v**2. What is i in k(i) = 0?
-2, -1, 0, 1
Suppose -2*y = -30 - 0. Suppose y = 4*q + q. Let 2*f**3 + 36*f**4 + q*f**3 + 2*f**3 - 4*f**3 - 27*f**2 + 6*f = 0. Calculate f.
-1, 0, 1/4, 2/3
Let j = 9 - 6. Let q be j/(-9*4/(-156)). Factor q + 18*m + 14 + 0*m + 3*m**2.
3*(m + 3)**2
Let c = -21349 - -21351. Determine m, given that 0*m - 5/3*m**3 + 0 + 2/3*m**c - 7/3*m**4 = 0.
-1, 0, 2/7
Let x(v) be the first derivative of -v**5/70 + v**4/21 - v**3/21 + 13*v + 8. Let u(n) be the first derivative of x(n). Factor u(z).
-2*z*(z - 1)**2/7
Let z = 11 + 1. Suppose z + 18 = 5*n. Let 2*k + n*k + k + 3*k**2 = 0. What is k?
-3, 0
Let f(s) be the third derivative of -s**8/20160 + s**6/180 - s**5/15 + s**2. Let q(h) be the third derivative of f(h). What is i in q(i) = 0?
-2, 2
Let l(j) be the third derivative of -j**6/300 - j**5/3 - 56*j**4/5 - 384*j**3/5 + 16*j**2. Factor l(n).
-2*(n + 2)*(n + 24)**2/5
Let f = 32981/24 + -1374. Let y(b) be the third derivative of -b**2 + 0 + 0*b - f*b**4 - 1/3*b**3 - 1/20*b**5. Factor y(j).
-(j + 1)*(3*j + 2)
Let k(n) be the first derivative of -3/2*n**4 + 0*n + 14 + 20/3*n**3 + 8*n**2. Let k(b) = 0. Calculate b.
-2/3, 0, 4
Let l(c) = -6*c - 10. Let m be l(-5). Suppose 4*b + 8 = m. Let n**4 - 3*n + 3*n**2 + 3*n**b - 2*n**4 - 2*n**4 = 0. What is n?
-1, 0, 1
Let v(u) = -u**3 - 3*u - 3. Let k be v(-2). Suppose 2*l - 4 + 6 = 0, -4*g + k = -3*l. Find m such that -8/7*m - 2/7*m**g - 6/7 = 0.
-3, -1
Let h(q) be the first derivative of 2*q**6/3 + 28*q**5/5 + 15*q**4 + 52*q**3/3 + 8*q**2 + 185. Factor h(f).
4*f*(f + 1)**3*(f + 4)
Let k(x) be the third derivative of -x**5/120 + 5*x**4/24 - 4*x**3/3 + 172*x**2. Let k(o) = 0. What is o?
2, 8
Let m(d) be the first derivative of -10 - 5/3*d**2 - 1/6*d**4 - 8/9*d**3 - 4/3*d. Determine x, given that m(x) = 0.
-2, -1
Suppose -b = -20 - 115. Solve -b - 3*w**4 + w**5 + 135 + 5*w**2 - 2*w**2 + w**3 - 2*w = 0.
-1, 0, 1, 2
Let k(h) be the third derivative of h**5/30 - 43*h**4/6 + 1849*h**3/3 - 263*h**2. Factor k(x).
2*(x - 43)**2
Suppose 0 = 3*b - 4*g + 58, -3*b - 3*g + 4*g = 46. Let y be b/18 + 6*5/30. Solve 0 - y*l**3 + 2/3*l**2 + 0*l = 0.
0, 3
Suppose 5*d**4 + d - d - 150*d**2 + 155*d**2 - 10*d**3 = 0. What is d?
0, 1
What is p in -2/3*p + 8/3 - 1/3*p**2 = 0?
-4, 2
Let n(j) be the first derivative of j**8/336 - j**7/210 - j**6/40 + j**5/60 + j**4/12 + 29*j**2/2 - 13. Let u(g) be the second derivative of n(g). Factor u(z).
z*(z - 2)*(z - 1)*(z + 1)**2
Let d(p) = -12*p - 13. Let i be d(-2). Let l be 1 - (-12 + i + (-1)/1). Factor -3/4*j**l + 0 - 3/4*j + 3/2*j**2.
-3*j*(j - 1)**2/4
Let z(g) be the second derivative of -g**4/36 + 32*g**3/3 - 1536*g**2 + 99*g. Factor z(s).
-(s - 96)**2/3
Solve 9*s - 9*s - 10*s**3 - 15*s**2 + 19*s**2 = 0 for s.
0, 2/5
Let u = 15 + -13. Let l be 3 - (0 - 0/2). Factor 2*w**l - 2*w**4 - u*w - 4*w**3 + 3*w**2 - w**4 + 4*w**3.
-w*(w - 1)*(w + 1)*(3*w - 2)
Let t = 1424 - 1424. Factor 0*s**2 + 4/9*s**3 + 0 + t*s + 2/9*s**4.
2*s**3*(s + 2)/9
Let t be (-624)/(-21) - (-4 + (-104)/(-28)). Suppose -10 = 25*g - t*g. Factor 0*n**g - 1/6*n**4 + 0*n + 0 + 1/6*n**3 - 1/3*n**5.
-n**3*(n + 1)*(2*n - 1)/6
Let c = -6 + 8. Factor 4/3 - 2*i + 2/3*i**c.
2*(i - 2)*(i - 1)/3
Let s = -138 + 144. Let o(t) be the third derivative of 0*t + 0 + 0*t**3 + 0*t**4 - 1/60*t**5 - 1/120*t**s + 6*t**2. Factor o(d).
-d**2*(d + 1)
Let d(z) be the second derivative of z**5/40 + z**4/24 - 17*z**3/12 + 15*z**2/4 - 365*z. Find l such that d(l) = 0.
-5, 1, 3
Suppose -154*c + 155*c - 4 = -3*n, 0 = 4*n - c + 4. Solve 2/9*q**2 - 2/9*q + n = 0.
0, 1
Factor 40/9*c**2 - 82/9*c**3 + 0*c + 0 - 2/9*c**5 + 44/9*c**4.
-2*c**2*(c - 20)*(c - 1)**2/9
Let s be 72/(-252) - (-508)/14. Determine y, given that s + 36*y + 12*y**2 + 4/3*y**3 = 0.
-3
Let c = 10 - 5. Suppose -2*m - c*h = -19, 4*h - 17 = -4*m + h. Factor 3*k**2 - 8*k - k**m + 6*k.
2*k*(k - 1)
Factor 130 + 8*l**3 - 63*l**2 - 43*l + 37*l**2 - 17*l + 68.
2*(l - 3)**2*(4*l + 11)
Suppose 10*x + 77 = 117. Let q(s) be the first derivative of -3*s**3 + 3/4*s**4 + 0*s + 3*s**2 - x. Factor q(m).