culate u.
-4, -2, -1, 1
Let d(p) be the second derivative of -2*p**6/15 + p**5/5 + 56*p**4/3 + 7028*p. Factor d(y).
-4*y**2*(y - 8)*(y + 7)
Factor 20*x**3 + 84*x**2 - 360*x - 3*x**4 - 20*x**3 + 504*x.
-3*x*(x - 6)*(x + 2)*(x + 4)
Let s be -2 + 1 + 0 - (-488)/8. Factor -177 - s*d + 177 - 5*d**2.
-5*d*(d + 12)
Let a(w) be the first derivative of w**4/16 + 4*w**3/3 + 43*w**2/8 - 15*w + 431. Suppose a(s) = 0. Calculate s.
-12, -5, 1
Determine o so that 19111*o**2 - 4392 - 9588*o - 4383*o**2 + 36*o**5 + 1577*o**4 + 823*o**4 + 12688*o**3 = 0.
-61, -3, -1/3, 2/3
Let o(u) be the second derivative of -7*u**6/150 - 19*u**5/100 + 19*u**4/15 - 2*u**3/3 + 10*u - 20. Factor o(i).
-i*(i - 2)*(i + 5)*(7*i - 2)/5
Let i(x) be the first derivative of x**4/4 - 713*x**3/3 + 128155*x**2/2 - 378075*x - 4266. Factor i(p).
(p - 355)**2*(p - 3)
Let h(w) be the third derivative of 4*w**6/135 + 23*w**5/135 - 35*w**4/54 + 8*w**3/27 - 12*w**2 + 134. Factor h(s).
4*(s - 1)*(s + 4)*(8*s - 1)/9
Determine i so that 45/7*i**2 + 6/7*i**3 - 60/7 + 12/7*i - 3/7*i**4 = 0.
-2, 1, 5
Let h(o) = -65*o**3 - 457*o**2 + 19222*o - 36470. Let g(m) = -23*m**3 - 152*m**2 + 6408*m - 12156. Let n(k) = 17*g(k) - 6*h(k). Factor n(x).
-(x - 78)**2*(x - 2)
Suppose 0 = -j + 4*j + y - 64, 0 = -j - y + 24. Let k be j/12 - ((-1)/3 + 0). Factor -o**2 - 5*o**k - 4*o + 5*o**3 - o**4 + 0*o + 8.
-(o - 2)**3*(o + 1)
Let h be ((-10)/(-55))/((-16)/(-48)). Let i be (-3)/(-2) - (52/(-8) + 5). Determine m, given that h*m**2 + 12/11*m - 12/11*m**i - 6/11 = 0.
-1, 1/2, 1
Let f(d) be the second derivative of d**7/3360 + 7*d**6/960 - 101*d**4/12 - 63*d. Let k(v) be the third derivative of f(v). Factor k(h).
3*h*(h + 7)/4
Let b(h) be the second derivative of -3/8*h**5 + 1/12*h**6 + 0*h**3 + 0*h**4 + 0*h**2 + 0 + 10*h. Solve b(u) = 0.
0, 3
Suppose 6 = -13*r + 45. Factor 670*x**3 + 3*x**4 + x**4 - 658*x**r - 16*x**2.
4*x**2*(x - 1)*(x + 4)
Suppose 13*p = 16*p - 45. Suppose 10 = p*d - 10*d. Factor -7 - 5 + d*g**2 + 4.
2*(g - 2)*(g + 2)
Let p = -719316 - -719320. Factor 2/3*t**3 + 1/3*t**p - 5/3 + 14/3*t - 4*t**2.
(t - 1)**3*(t + 5)/3
Let z be ((-18)/8)/((-24)/32). Suppose -5*o = 4*x - 46 + z, o = -2*x + 23. Factor -b**2 - 123*b - 2*b**3 + x - 3*b**2 + 133*b.
-2*(b - 2)*(b + 1)*(b + 3)
Factor 16661632/11*s**3 + 9426/11*s**4 + 2/11*s**5 + 13094186224/11*s**2 + 3851333767712/11 + 3864411301728/11*s.
2*(s + 1)*(s + 1178)**4/11
Let h(b) be the first derivative of -5*b**5 + 16335*b**4/2 - 10686349*b**3/3 + 4266702*b**2 - 1705636*b - 1741. What is u in h(u) = 0?
2/5, 653
Solve -15/4*p**2 + 111/4*p**3 + 0 - 27*p + 15/4*p**4 - 3/4*p**5 = 0 for p.
-4, -1, 0, 1, 9
Let l(q) be the first derivative of -q**6/40 - 3*q**5/8 - 17*q**4/16 - q**3 + 162*q - 84. Let a(t) be the first derivative of l(t). Factor a(s).
-3*s*(s + 1)**2*(s + 8)/4
Let l = 10 - 10. Let f be l/(((-6)/(-5))/(63/210)). Factor 0 - 35/3*a**4 + f*a + 15*a**3 - 10/3*a**2.
-5*a**2*(a - 1)*(7*a - 2)/3
Suppose 224 = 7*k - 63. Suppose 17 = -8*q + k. Factor -2*z - 13*z - z**q - 8*z**2 - z.
-z*(z + 4)**2
Factor 201/2*m - 207/4*m**2 + 3/4*m**3 + 0.
3*m*(m - 67)*(m - 2)/4
Factor 0*v + 57/4*v**4 + 0 - 3/8*v**5 - 297/2*v**3 + 243*v**2.
-3*v**2*(v - 18)**2*(v - 2)/8
Let l(y) be the second derivative of 2*y**5/15 + 7*y**4/8 - 3*y**3/2 + 65*y**2/2 + 10*y + 12. Let x(m) be the first derivative of l(m). Let x(p) = 0. What is p?
-3, 3/8
Suppose 2*t + 11 = w, -2*w + 8*t - 7*t + 25 = 0. Determine z, given that -9*z**4 + w*z**4 - 4*z**3 - 24*z**2 - z**5 - 16*z + 3*z**5 + 2*z**4 = 0.
-2, -1, 0, 2
Suppose -23*m**2 + 108 - 7*m**2 + 110*m + 2*m**2 - 713 + 23*m**2 = 0. What is m?
11
Let u be (72*((-19)/((-627)/(-176)) - -5))/((-44)/6). Let 4/11*y**3 + 6/11*y**2 - u*y + 16/11 = 0. What is y?
-4, 1/2, 2
Let g(q) = 5*q**3 + 10*q**2 + 15*q - 15. Let b(f) be the first derivative of -f**4/4 - 2*f**3/3 - 2*f**2 + 4*f - 152. Let l(r) = 15*b(r) + 4*g(r). Factor l(d).
5*d**2*(d + 2)
Suppose -3*p = -4*p + 4*d - 9, 4*p = -3*d - 93. Let i be 16/42*p/(-36). Factor 0 + 1/9*z**5 + 0*z - 1/9*z**3 + 2/9*z**4 - i*z**2.
z**2*(z - 1)*(z + 1)*(z + 2)/9
Let p(k) be the third derivative of -2/3*k**3 + 0*k - 1/12*k**6 - 7/12*k**4 - 1/105*k**7 + 15*k**2 - 3/10*k**5 + 0. Factor p(z).
-2*(z + 1)**3*(z + 2)
Let q(z) be the third derivative of z**6/720 - z**5/60 + z**4/12 + 2*z**3 - 75*z**2. Let o(a) be the first derivative of q(a). Solve o(i) = 0 for i.
2
Let m be 2/(4/(-3)) - 15*6/(-18). Let s(p) be the second derivative of 0*p**2 + m*p**4 - 7*p + 4/5*p**5 + 1/15*p**6 + 6*p**3 + 0. Factor s(b).
2*b*(b + 2)*(b + 3)**2
Let z(r) = -r**3 - 4*r**2 - 2*r - 30. Let s be z(-5). Let d(a) be the first derivative of 17 - 3/5*a**4 + 6/5*a**3 + 3/25*a**s - 6/5*a**2 + 3/5*a. Factor d(x).
3*(x - 1)**4/5
Let w(v) be the third derivative of 5*v**8/112 + 5*v**7/42 - 23*v**6/24 + 19*v**5/12 - 5*v**4/6 + 67*v**2 + 9*v. Let w(f) = 0. Calculate f.
-4, 0, 1/3, 1
Let v be 36/18*-1*(-7148)/57440. Let w = 2/1795 + v. Suppose w*c**3 - 1/2*c**2 + 0*c + 0 = 0. What is c?
0, 2
Let n(a) be the first derivative of a**3 - 9*a**2 + 41*a**2 - 23 - 12*a**2 - 2*a**2 - 12*a**2. Determine k, given that n(k) = 0.
-4, 0
Suppose 5*o - p - 30 = 0, 5*p + 40 = 5*o + 2*p. Let a(s) be the first derivative of 20*s - 12 + o*s**3 + 65/2*s**2. Factor a(d).
5*(d + 4)*(3*d + 1)
Solve -208/7 - 2/7*h**2 - 30*h = 0.
-104, -1
Factor -1/4*t**4 + 51/4*t**2 + 0 + 49/2*t - 12*t**3.
-t*(t - 2)*(t + 1)*(t + 49)/4
Let a be 1000/(-1400) - (-19)/7. Let b(l) be the first derivative of -1/8*l**4 + 7/4*l**a - 1/3*l**3 - 47 - 2*l. Factor b(k).
-(k - 1)**2*(k + 4)/2
Let u(p) be the first derivative of -12/5*p**4 + 6*p + 0*p**5 + 38/5*p**3 - 99/10*p**2 - 319 + 1/10*p**6. Factor u(y).
3*(y - 2)*(y - 1)**3*(y + 5)/5
Let j be 92400/176120 + (-4)/74. Factor 36/17 - 2/17*s**3 + 6/17*s - j*s**2.
-2*(s - 2)*(s + 3)**2/17
Let g(b) be the first derivative of -b**6/30 + b**5/20 + b**4/6 - 293*b + 133. Let p(v) be the first derivative of g(v). Suppose p(a) = 0. Calculate a.
-1, 0, 2
Suppose -1/3*m**2 - 137641/3 - 742/3*m = 0. Calculate m.
-371
Let x(u) be the first derivative of -u**5/10 - 1655*u**4/8 - 152076*u**3 - 41820624*u**2 + 84098304*u - 12419. Factor x(n).
-(n - 1)*(n + 552)**3/2
Suppose -9*f + 27 - 9 = 0. Solve 28*u**2 + 2*u + 2 - 18*u + f - 16*u = 0 for u.
1/7, 1
Let p(c) be the first derivative of c**6/4 + 372*c**5/5 + 30627*c**4/4 + 275560*c**3 - 1715361*c**2/4 - 151. Factor p(v).
3*v*(v - 1)*(v + 83)**3/2
Suppose 25*k + 93 = 168. Find x such that 1/2*x**4 + 4/3 - x - 1/6*x**5 - 11/6*x**2 + 7/6*x**k = 0.
-2, -1, 1, 4
Let u = -603360 - -603362. Factor 352/13 + 2/13*o**3 + 38/13*o**u + 16*o.
2*(o + 4)**2*(o + 11)/13
Let p(h) be the first derivative of h**4/10 - 6*h**3/5 + 23*h**2/5 - 6*h - 150. Solve p(i) = 0 for i.
1, 3, 5
Suppose 34 + 253/3*h - h**3 + 148/3*h**2 = 0. Calculate h.
-1, -2/3, 51
Let a = -730444 - -1460891/2. Factor a*o**3 - 6*o + 3/2*o**2 - 6.
3*(o - 2)*(o + 1)*(o + 2)/2
Let z(b) be the first derivative of 4*b**4 + 4*b**3/3 - 36*b**2 + 267. Determine m, given that z(m) = 0.
-9/4, 0, 2
Suppose 32300*a - 5334 - 23620*a - 458 - 4*a**3 - 2884*a**2 = 0. What is a?
-724, 1, 2
Suppose -116 + 14 = -6*b. Factor 45*u**4 - 21*u**4 + 13*u**2 + 6*u - 26*u**3 - b*u**4.
u*(u - 3)*(u - 1)*(7*u + 2)
Let h(x) be the second derivative of 0*x**3 + 3*x - 1/45*x**6 - 1/10*x**5 - 25 - 1/9*x**4 + 0*x**2. Let h(g) = 0. Calculate g.
-2, -1, 0
Let r(f) = f**3 - 18*f**2 - 18*f - 14. Let z be r(19). Factor z + 151*i**4 - 153*i**4 - 5 + 36*i**3.
-2*i**3*(i - 18)
Let s = 15600 + -77999/5. Factor s*d**2 - d - 14/5.
(d - 7)*(d + 2)/5
Let c(q) be the third derivative of -q**9/3024 - q**8/672 + q**7/63 + 5*q**4/6 + q**3/6 - 112*q**2. Let b(s) be the second derivative of c(s). Factor b(w).
-5*w**2*(w - 2)*(w + 4)
Let 4/25*x**3 + 6/25*x**2 - 2/25*x**4 - 16/25*x + 8/25 = 0. Calculate x.
-2, 1, 2
Let j(k) be the third derivative of -k**6/540 - k**5/9 - 25*k**4/12 + 243*k**2 + k. Find h, given that j(h) = 0.
-15, 0
Let z be 0 + ((-224)/24 + 9)/((-1)/15). Let d(g) be the first derivative of 0*g - 9 + 0*g**3 - 5/2*g**4 - 9*g**z + 0*g**2 - 35/6*g**6. What is x in d(x) = 0?
-1, -2/7, 0
Let u = 421/5148 + 2/1287. Let v(a) be the third derivative of 5/24*a**4 + 0*a**3 + u*a**5 + 1/14*a**7 - 5/24*a**6 + 0 + 0*a - 21*a*