c + 0 - 15/2*c**2 = 0.
0, 2, 3
Let k(f) be the first derivative of -2*f**7/21 + 4*f**5/5 + 9*f + 1. Let n(w) be the first derivative of k(w). Factor n(o).
-4*o**3*(o - 2)*(o + 2)
Factor 144/5*t**3 + 54*t + 2/5*t**5 + 324/5*t**2 + 28/5*t**4 + 0.
2*t*(t + 3)**3*(t + 5)/5
Let v be (-3)/(42/4) + (-136)/(-84). Let p(i) be the first derivative of -1/3*i**3 + v*i + 2/3*i**2 - 1/6*i**4 + 1/15*i**5 + 1. Factor p(f).
(f - 2)**2*(f + 1)**2/3
Let j(m) = -5*m - 22. Let c be j(-5). Factor -2*q - 6*q**2 - 2 + q + 6 - 2*q**3 + 2*q**4 + c*q.
2*(q - 2)*(q - 1)*(q + 1)**2
Let q(n) be the second derivative of -n**4/12 - 5*n**3/3 + 75*n**2/2 + 4*n - 4. Factor q(k).
-(k - 5)*(k + 15)
Suppose -2 = h + h, -2*l + 10 = -4*h. Factor -28*n**l - 20 + 21*n**3 + 15*n**2 + 12*n**3.
5*(n - 1)*(n + 2)**2
Suppose -2/15*p**3 + 0*p**2 + 6/5*p + 0 = 0. Calculate p.
-3, 0, 3
What is t in -52*t**4 + 4*t + 13*t**3 + 55*t**4 - 2*t**3 + 4*t**2 + 8*t**2 = 0?
-2, -1, -2/3, 0
Let i be 14/3*(-54)/(-63). Suppose 2*z + 3*z = -3*u + 5, -5*u + 5*z = 5. Let u - 2/3*n**i + 4/15*n**2 + 2/5*n**3 + 0*n = 0. Calculate n.
-2/5, 0, 1
Let f(u) = -u**3 - 10*u**2 + 16*u + 15. Let x be f(-11). Let s be (-64)/x + (-4)/(-10). Factor 0*z + 0 - 3/5*z**s - 6/5*z**3 - 3/5*z**4.
-3*z**2*(z + 1)**2/5
Let g(b) be the first derivative of -b**7/56 + 3*b**6/40 - 3*b**5/40 + 18*b + 3. Let d(r) be the first derivative of g(r). Factor d(t).
-3*t**3*(t - 2)*(t - 1)/4
Factor 1/5*i**2 + i + 6/5.
(i + 2)*(i + 3)/5
Let a(v) be the second derivative of -147*v**5/20 + 35*v**4/2 + 26*v**3 + 12*v**2 + 49*v - 1. Suppose a(i) = 0. Calculate i.
-2/7, 2
Let p(q) be the first derivative of -13 + 0*q**4 + 2/45*q**5 + 0*q**3 + 0*q + 1/27*q**6 + 0*q**2. Determine j, given that p(j) = 0.
-1, 0
Let t = 89079/17 + -5237. What is k in -20/17*k - 2/17*k**2 - t = 0?
-5
Let b(q) = -9*q**3 - 5*q**2 + 9*q + 5. Let i(z) = 21*z**3 - 5*z + 3*z**2 + 26*z**3 - 42*z**3 - 3. Let f(r) = 6*b(r) + 10*i(r). Factor f(l).
-4*l*(l - 1)*(l + 1)
Let h(k) be the third derivative of 22*k**2 + 0*k**3 - 4/15*k**5 + 0*k + 1/84*k**8 + 1/5*k**6 + 1/6*k**4 + 0 - 8/105*k**7. Factor h(o).
4*o*(o - 1)**4
Let z(t) be the first derivative of -21*t**5/5 - 3*t**4/2 + 21*t**3 - 12*t**2 - 12*t - 91. Let z(f) = 0. Calculate f.
-2, -2/7, 1
Let w = -5284 - -5289. Let 9/5*m**4 - 3/5*m**w + 9/5*m - 3/5 - 6/5*m**2 - 6/5*m**3 = 0. What is m?
-1, 1
Suppose 0 = 4*c - 6 - 10. Suppose c*n - 13 = -1. Factor -2*h**3 - 4*h**3 - 40*h + 16 + 0*h**n + 28*h**2.
-2*(h - 2)**2*(3*h - 2)
Let z = 11434/123 + -1078/41. Solve -20/3*p**2 + 2/9*p**3 + z*p - 2000/9 = 0 for p.
10
Let s = 154771/412680 + -2/51585. Factor 27/8 - 9/4*r + s*r**2.
3*(r - 3)**2/8
Let w(u) be the third derivative of -u**8/105 + 8*u**7/525 + 9*u**6/50 - 52*u**5/75 + 31*u**4/30 - 4*u**3/5 - 275*u**2. What is q in w(q) = 0?
-3, 1/2, 1, 2
Suppose -2*s = -3*x - 28, -6*s = -2*s - 3*x - 50. Let q(y) = y**3 - 11*y**2 + 4*y - 9. Let v be q(s). Factor 2*u**3 - 35*u - 5*u**4 + v*u.
-u**3*(5*u - 2)
Let q(s) be the first derivative of s**4/34 - 8*s**3/17 + 35*s**2/17 - 48*s/17 + 64. Factor q(g).
2*(g - 8)*(g - 3)*(g - 1)/17
Let t(k) = 2*k**4 + 5*k**3 + 3*k**2 + 5*k - 5. Let r(o) = -o - o**3 + 171 - 2*o**4 + o**4 - 170. Let j(x) = 5*r(x) + t(x). Factor j(w).
-3*w**2*(w - 1)*(w + 1)
Suppose -98*n - 12*n + 75 = -145. Find d such that 36/5*d - 39/5*d**n - 12/5 - 3/5*d**4 + 18/5*d**3 = 0.
1, 2
Let j(w) = -11*w**2 + 5*w + 6. Let h(i) = 22*i**2 - 9*i - 11. Let q(r) = 6*h(r) + 11*j(r). Let u be q(-1). Suppose 10 - 2*n**2 - u*n - 28 - 2*n = 0. What is n?
-3
Let n be 3 - (-1 + (3 - 13)). Let y be 1*(3 - 36/n). Determine a so that -3/7*a**3 + 0 + 0*a - 3/7*a**4 + y*a**2 + 3/7*a**5 = 0.
-1, 0, 1
Let a(g) be the third derivative of -g**7/840 + g**6/80 - g**5/30 - 393*g**2. Factor a(o).
-o**2*(o - 4)*(o - 2)/4
Let u(y) = 5 + 3 + 4*y**2 + 8 - 20*y. Let b(d) = -d. Let f(a) = a**2 - 15*a - 20. Let m be f(16). Let w(l) = m*b(l) + u(l). Factor w(v).
4*(v - 2)**2
Determine u, given that 1150/7*u + 2/7*u**3 - 1058/7 - 94/7*u**2 = 0.
1, 23
Suppose -41*f - 44*f + 77*f = -24. Factor -1/2*r**f - 3/2*r - 1/2 - 3/2*r**2.
-(r + 1)**3/2
Let t(i) = -i + 17. Let m be t(4). Let a = m + -11. Determine d, given that 5*d**5 + 6*d**3 - 6*d**4 - 8*d - 4*d**5 + d**4 + 4*d**a + 0*d**4 = 0.
-1, 0, 2
Let d(l) be the first derivative of -2*l**3/9 + 13*l**2/3 + 32*l + 82. Solve d(u) = 0 for u.
-3, 16
Let t be (-20)/30 + (-20)/(-3). Suppose -5*s + t = -34. Factor -4*m**2 - 114*m - s*m**3 + 114*m - 4*m**4.
-4*m**2*(m + 1)**2
Let x = -462 - -465. Suppose 1/7*q**x + 0 + 1/7*q + 2/7*q**2 = 0. Calculate q.
-1, 0
Suppose -9/2*j**2 + 173/2*j - 19 = 0. Calculate j.
2/9, 19
Let k be -3 + 8 - (6 + -4). Let t = k + -1. What is m in 0*m + 1 - 2*m**3 - 7*m**4 + t*m + 6*m**4 = 0?
-1, 1
Let n(w) be the first derivative of 4/21*w**3 + 4/7*w**2 + 0*w - 44. Factor n(p).
4*p*(p + 2)/7
Let n be 4/((-4)/(-3)) - 0. Suppose -n = 2*g - 7. Find u, given that -5*u**g + u**5 + u**2 + 1 + 1 + 2*u**4 + 4*u - 3*u - 2*u**3 = 0.
-2, -1, 1
Let f = 43 - 40. Let -5*z**2 - 7*z - z + 5*z**f + 3*z + 5 = 0. What is z?
-1, 1
Let f be (((-55)/(-3))/(-5))/((-128)/96). Factor -4*d - f*d**3 + 9*d**2 - 16 + 1/4*d**4.
(d - 4)**3*(d + 1)/4
Let z(y) = -409*y - 2452. Let d be z(-6). Let i(a) = 2*a - 1. Let p be i(8). Determine q, given that -5/2*q**3 - p*q**d + 0 - 45/2*q = 0.
-3, 0
Let l be 1503/334*4*1/27. Let q be (14/18)/(2/6). Let -q*i**2 + l*i + 0 = 0. Calculate i.
0, 2/7
What is f in -2/3*f**2 + 4 + 2/3*f = 0?
-2, 3
Let w = -13313 - -13316. Solve 3*d**w + 0*d + 6/5*d**2 + 12/5*d**4 + 3/5*d**5 + 0 = 0 for d.
-2, -1, 0
Suppose 0 = -25*z + 26 + 74. Let t(o) be the second derivative of 0 + 0*o**2 - 3*o - 1/40*o**5 + 1/4*o**3 - 1/12*o**z. Factor t(n).
-n*(n - 1)*(n + 3)/2
Let j(c) be the first derivative of c**5/30 + c**4/4 - 5*c**3/6 + 2*c**2/3 - 645. Suppose j(f) = 0. Calculate f.
-8, 0, 1
Suppose 280 = -34*x + 90*x. Let p(g) be the third derivative of 1/9*g**3 - g**2 - 1/180*g**x + 0 + 1/72*g**4 + 0*g. Solve p(y) = 0.
-1, 2
Let u(q) be the second derivative of -1/12*q**4 + 0 + 0*q**2 + 12*q + 1/3*q**3. Factor u(x).
-x*(x - 2)
Solve 124/7*l**2 - 1024/7 - 128*l - 4/7*l**3 = 0.
-1, 16
Let k(v) = -v**3 + 7*v**2 + 12*v - 27. Let h be k(8). Factor -275*a**3 - 2*a**h - 3*a**5 - 5*a**4 + 285*a**3.
-5*a**3*(a - 1)*(a + 2)
Let w(i) be the third derivative of 3*i**6/28 + 73*i**5/210 - 10*i**4/21 - 4*i**3/7 + 333*i**2. Determine p, given that w(p) = 0.
-2, -2/9, 3/5
Let o = -87 - -132. Suppose 44*a + 2952 = 116*a. Let a*t + 6*t**2 - t**2 - 7*t + o - 4*t = 0. What is t?
-3
Suppose -2*a = 5*g - 352 + 116, -3*a = 2*g - 101. What is f in 38*f**2 + 188*f + 108 + 64*f - 126*f**3 + f**2 + g*f**4 - 19*f**4 = 0?
-2/3, 3
Factor -64/11*x**3 + 256/11*x**2 - 2/11*x**5 + 0*x - 28/11*x**4 + 0.
-2*x**2*(x - 2)*(x + 8)**2/11
Let b(y) = 3*y**2 + 291*y - 292. Let s be b(1). Suppose -110/3*j**s + 8/3 + 8*j = 0. Calculate j.
-2/11, 2/5
Suppose -664 = 3*z + 158. Let m = z - -830/3. Solve 0*w + 2/3*w**4 - 8/3*w**3 + 0 + m*w**2 = 0.
0, 2
Let g(y) be the first derivative of -1/9*y**6 + y**4 + y**2 + 0*y + 36 + 16/9*y**3 + 0*y**5. Let g(z) = 0. What is z?
-1, 0, 3
Let v be 0/(2 + 7*(4 + -5)). Let r(n) be the first derivative of 0*n**3 + v*n + 2/5*n**5 + 0*n**4 + 0*n**2 + 3. Factor r(a).
2*a**4
Let b = -46 - -25. Let c = b + 23. Factor 7*s + 3*s**2 + 3*s - 15*s + 2*s**c.
5*s*(s - 1)
Let s be ((-16)/108)/((-32)/(-48))*-1. Factor -s*k**3 + 0 - 4/9*k**2 - 2/9*k.
-2*k*(k + 1)**2/9
Let b(w) be the third derivative of w**7/420 + w**6/120 - w**5/40 + 198*w**2 - w. Suppose b(u) = 0. What is u?
-3, 0, 1
Let z = 37 + 9. Solve -k**4 - 17*k - z + 18 - 36 - 18*k**3 - 97*k**2 - 127*k = 0.
-8, -1
Let n(l) be the second derivative of 1/10*l**6 + 27/140*l**5 + 1/14*l**4 + 14*l + 0 + 0*l**3 + 0*l**2. Solve n(q) = 0.
-1, -2/7, 0
Let c(g) be the first derivative of -128*g - 3 - 3*g**4 - 104/3*g**3 - 128*g**2. Factor c(w).
-4*(w + 4)**2*(3*w + 2)
Let h(f) be the first derivative of -f**5/20 - f**4/4 - f**3/3 - 49*f - 49. Let y(s) be the first derivative of h(s). Factor y(n).
-n*(n + 1)*(n + 2)
Find f, given that 110*f**5 + 20*f**4 - 15*f**3 + 109*f**5 - 224*f**5 = 0.
0, 1, 3
Factor 4/7*c**2 + 6/7*c - 4/7 + 2/7*c**5 + 0*c**4 - 8/7*c**3.
2*(c - 1)**3*(c + 1)*(c + 2)/7
Let x(k) be the