erivative of x + 0*x**2 + 1/63*x**7 + 6 - 275/18*x**4 - 17/45*x**6 + 250/9*x**3 + 7/2*x**5. Let w(l) = 0. Calculate l.
0, 2, 5
Let a(r) be the first derivative of -r**5/24 + 11*r**4/24 - 17*r**3/12 - 84*r**2 - 113. Let f(m) be the second derivative of a(m). Factor f(w).
-(w - 1)*(5*w - 17)/2
Let r = -1271425 + 1271428. Determine f, given that -5*f**2 + 5/4*f**r - 15*f + 0 = 0.
-2, 0, 6
Let f(p) be the third derivative of p**8/1680 - p**7/168 - p**6/360 + p**5/24 - 9*p**3/2 - 15*p**2 + 3*p. Let v(l) be the first derivative of f(l). Factor v(h).
h*(h - 5)*(h - 1)*(h + 1)
Let n be 5582/12*(-24)/(-36). Let p = 311 - n. Factor -10/9*f**2 + p*f**3 + 4/9*f + 0 - 2/9*f**4.
-2*f*(f - 2)*(f - 1)**2/9
Let i be (4/9)/(1/40 + (-16895)/(-196200)). Factor 0*m**3 + 2/11*m**2 + 0 - 2/11*m**i + 0*m.
-2*m**2*(m - 1)*(m + 1)/11
Let t(i) be the second derivative of i**6/45 + 7*i**5/10 + 10*i**4/9 + 92*i - 1. Factor t(r).
2*r**2*(r + 1)*(r + 20)/3
Let z be 361/95 + (-12)/15. Suppose -p - 2*p = -o + 14, -z*o - 14 = 5*p. Factor 3/2*l + 1/2*l**o + 1.
(l + 1)*(l + 2)/2
Let q(u) = -1650*u - 46200. Let x be q(-28). Factor 1/4*r**5 - 1/4*r**3 - 1/2*r**2 + x + 0*r + 1/2*r**4.
r**2*(r - 1)*(r + 1)*(r + 2)/4
Let m(j) be the first derivative of 2*j**3/57 - 56*j**2/19 - 354*j/19 + 1880. Determine x, given that m(x) = 0.
-3, 59
Let l(y) be the third derivative of -y**5/360 - 137*y**4/72 - 136*y**3/9 + 451*y**2. What is s in l(s) = 0?
-272, -2
Let d(f) = 3*f**2 - 2*f + 2. Let c be d(2). Let w = 491 + -488. Find b such that -2*b**2 - b**3 - w*b**3 + 0*b**2 + c*b**2 = 0.
0, 2
Let d = -73 + 77. Suppose -w - 5 = -4*o, -d*w + 6*o = 11*o - 22. Find b such that 4*b**3 - 6*b + 8*b**2 + 0*b**w + 0*b**5 - 8*b**4 + 2*b**5 = 0.
-1, 0, 1, 3
Let v(c) = 410*c**4 - 2665*c**3 + 2425*c**2 + 2230*c - 2255. Let d(p) = 17*p**4 - 111*p**3 + 101*p**2 + 93*p - 94. Let x(y) = -145*d(y) + 6*v(y). Factor x(a).
-5*(a - 20)*(a - 1)**2*(a + 1)
Let n(r) be the first derivative of -27/4*r**2 + 3/8*r**4 + 11/2*r**3 + 56 - 27*r - 3/10*r**5. Let n(y) = 0. Calculate y.
-3, -1, 2, 3
Let z be (3 + -13 - 4)/(((-2)/14)/((-43)/(-301))). Factor -z + 12*v - 3/2*v**2 - 1/2*v**3.
-(v - 2)**2*(v + 7)/2
Let u be (-78 - -75) + 6*(-6)/(-8). Let p be (9 - 12)/(5/(-5)). Factor -1/4*x**4 - u*x**2 - x**p - x - 1/4.
-(x + 1)**4/4
Let r(x) be the first derivative of -x**3/9 + 97*x**2/6 - 94*x - 4264. Suppose r(s) = 0. What is s?
3, 94
Let p(h) be the first derivative of 0*h + 1/8*h**4 + 114 + 0*h**2 - 13/6*h**3. Factor p(b).
b**2*(b - 13)/2
Let m(z) be the first derivative of -z**5 - 135*z**4 - 6080*z**3 - 72200*z**2 + 1646160*z - 9840. Determine k so that m(k) = 0.
-38, 6
Factor 164/3*a - 4/9*a**3 - 88 - 64/9*a**2.
-4*(a - 3)**2*(a + 22)/9
Let x(s) be the first derivative of s**6/24 - 5*s**5/4 + 105*s**4/8 - 245*s**3/6 + 3*s**2/2 - 34*s - 57. Let r(a) be the second derivative of x(a). Factor r(m).
5*(m - 7)**2*(m - 1)
Let j = -36242/5 + 7249. Let j*g**2 - 36 + 177/5*g = 0. What is g?
-60, 1
Let x(y) be the second derivative of -2/189*y**7 + 40*y + 0*y**2 - 1/27*y**4 + 0*y**3 - 2/45*y**6 - 1/15*y**5 + 0. What is t in x(t) = 0?
-1, 0
Suppose -n + 6*n + s - 5 = 0, 2 = -4*n - 2*s. Factor -4*p**n - 62*p + 33*p + 21*p.
-4*p*(p + 2)
Let q be 18480/8800*(5/(-35))/((-3)/6). Factor 2/5*b**2 + 1/5 - q*b.
(b - 1)*(2*b - 1)/5
Let r = -16/7855 + 47242/54985. Determine a so that -4*a**3 - r*a**4 + 50/7*a**2 + 8/7*a - 24/7 = 0.
-6, -2/3, 1
Let m(w) be the second derivative of w**6/10 + 6*w**5 - 217*w**4/4 + 178*w**3 - 270*w**2 - 554*w + 2. Factor m(q).
3*(q - 2)**2*(q - 1)*(q + 45)
Let c = -3721 + 3726. Let y(q) be the first derivative of 0*q + 4/25*q**c - 3/5*q**4 + 6/5*q**2 - 4/15*q**3 + 5. Determine b, given that y(b) = 0.
-1, 0, 1, 3
Let l(k) be the first derivative of 2*k**5/5 - k**4 - 206*k**3/3 - 472*k**2 - 1248*k + 4347. Determine j, given that l(j) = 0.
-4, -3, 13
Let h(z) be the third derivative of -9*z**7/350 + z**6/40 + 13*z**5/100 - z**4/8 - 2*z**3/5 + 114*z**2 - 3*z - 3. Let h(k) = 0. Calculate k.
-1, -4/9, 1
Let s = -533 + 538. Let h be (-6)/20*(-24)/78*s. Find c, given that -h*c**2 - 10/13*c**3 + 4/13*c + 0 = 0.
-1, 0, 2/5
Let s be 1125/3240*-66 + 23. Factor -1 - 3/4*j**2 - 5/3*j - s*j**3.
-(j + 1)*(j + 2)*(j + 6)/12
Suppose r + 14 = 0, 18*i - 3*r = 14*i + 54. Factor -1/4*h**i + 5 - 6*h + 9/4*h**2.
-(h - 5)*(h - 2)**2/4
Let o(m) be the third derivative of 185/4*m**4 - 15/2*m**3 + 133*m**2 + 0*m + 0 - 1369/12*m**5. Factor o(b).
-5*(37*b - 3)**2
Factor -2*q**3 - 3*q**2 + 2 - 20*q - 2*q**3 - 2 + 27*q**2.
-4*q*(q - 5)*(q - 1)
Let r(z) be the second derivative of -3/5*z**6 + 23/18*z**4 + 4/3*z**2 - 4/5*z**5 + 8/3*z**3 + 6*z - 3. What is h in r(h) = 0?
-1, -2/3, -2/9, 1
Let y(g) = -2*g**2. Let r(t) = -5*t**2 - 28*t. Let f be 7 + 1*(4 + -9). Let m(d) = f*r(d) - 4*y(d). Suppose m(o) = 0. What is o?
-28, 0
Let z(i) be the third derivative of i**6/280 + 9*i**5/35 - 75*i**4/56 + 19*i**3/7 + 282*i**2 + 6. Suppose z(h) = 0. Calculate h.
-38, 1
Find y such that 146/17*y**2 - 2/17*y**3 + 0 + 616/17*y = 0.
-4, 0, 77
Let d(v) be the second derivative of -v**6/1440 - v**5/32 - 25*v**4/48 - 49*v**3/3 - v**2/2 - 246*v. Let t(a) be the second derivative of d(a). Solve t(i) = 0.
-10, -5
Let p(w) be the first derivative of 2*w**3/3 - 16*w**2 + 110*w + 919. Suppose p(a) = 0. What is a?
5, 11
Factor 4*g**3 - 171*g**2 + 13*g**2 + 57*g**2 - 80*g + 69*g**2.
4*g*(g - 10)*(g + 2)
Let s(t) = -39*t - 739. Let f be s(-19). Let l(y) be the third derivative of 0*y**4 - 5*y**f + 0 + 0*y + 1/240*y**5 + 0*y**3. Factor l(g).
g**2/4
Suppose -2*b - 386 = -3*w, b + 25*w + 195 = 26*w. Let f = -197 - b. Solve -f*t**2 - t**3 + 1/2 + 3/2*t**4 + t = 0 for t.
-1, -1/3, 1
Let g(n) be the first derivative of -4*n**3 + 8*n**2 + 8*n - 21 + n**4 - 1/10*n**5. Let s(w) be the first derivative of g(w). Let s(i) = 0. Calculate i.
2
Let a = -84 + 90. Suppose -a = -2*v + v. Factor -16*r**4 + 255*r + v*r**3 + 168*r**3 + 55*r**4 + 3*r**5 + 9 + 66 + 318*r**2.
3*(r + 1)**3*(r + 5)**2
Suppose -2*h + 2*a - 6*a = 638, -3*h + a - 992 = 0. Let o be 4/2 + 235/h. Solve -3/7*u**2 - 1/7*u**4 + 0 - o*u + 5/7*u**3 = 0 for u.
-1, 0, 3
Let g(q) = -9*q**2 - 2*q + 4. Let f be g(2). Let a be (-136)/f - (-4)/18. Factor -n**3 - 4*n**a + 13*n**3 + 3*n**2 - 15*n**2 + 4*n.
-4*n*(n - 1)**3
Let v(z) be the third derivative of z**8/336 + z**7/210 - 7*z**6/40 + 47*z**5/60 - 5*z**4/3 + 2*z**3 + 6*z**2 + 143. Find w, given that v(w) = 0.
-6, 1, 2
Let n = -202860 + 2231478/11. Factor -18/11*t**2 + 2/11*t**3 + 2/11*t**4 - n*t + 0.
2*t*(t - 3)*(t + 1)*(t + 3)/11
Let x(b) be the third derivative of 7/30*b**6 - 3*b**2 - 4*b**3 + 0 - 25/6*b**4 + 14*b - 4/5*b**5. Factor x(v).
4*(v - 3)*(v + 1)*(7*v + 2)
Let f(k) be the third derivative of -k**6/320 + 131*k**5/40 - 68117*k**4/64 - 69169*k**3/8 - 2192*k**2. Factor f(q).
-3*(q - 263)**2*(q + 2)/8
Let q(p) be the second derivative of p**5/20 - 8*p**4/3 + 29*p**3/2 + 1337*p. Factor q(g).
g*(g - 29)*(g - 3)
Let v(y) be the first derivative of y**6/3 - 6*y**5/5 - 11*y**4/6 + 2*y**3 + 136*y - 97. Let o(g) be the first derivative of v(g). Suppose o(n) = 0. What is n?
-1, 0, 2/5, 3
Let f(p) = -2*p**3 - 140*p**2 + 151*p - 54. Let i(w) = w**3 + 70*w**2 - 75*w + 24. Let d(h) = 4*f(h) + 9*i(h). Let d(q) = 0. What is q?
-71, 0, 1
Let q(o) be the second derivative of 0*o**3 - 1/15*o**5 + 0 - 7/6*o**4 + 29/2*o**2 - 46*o. Let h(p) be the first derivative of q(p). Factor h(j).
-4*j*(j + 7)
Suppose 4696551*b - 4696565*b + 42 = 0. Suppose 78/5*u + 16*u**2 + 0 + 2/5*u**b = 0. What is u?
-39, -1, 0
Let c(r) be the third derivative of r**5/60 + 218*r**4/3 + 380192*r**3/3 - 3227*r**2. Suppose c(v) = 0. What is v?
-872
Let v = -31887 - -31889. Let y(f) be the second derivative of 0 - 1/6*f**3 + 1/36*f**4 + f + 1/3*f**v. Find s such that y(s) = 0.
1, 2
Determine h so that -1298*h + 1682 - 183*h**3 + 684*h**2 - 4*h + 102*h**3 + 215*h - 798*h = 0.
2, 29/9
Let p(c) = 3*c**2 + 3*c + 2. Let o(q) = 22*q**2 + 1323*q + 423815. Let b(x) = o(x) - 7*p(x). Factor b(u).
(u + 651)**2
Let s be (-5*24/60)/((-32)/6). Let v(m) be the first derivative of 1/12*m**3 + 1/2*m - s*m**2 + 9. Let v(g) = 0. What is g?
1, 2
Let y(l) be the first derivative of 0*l + 63/8*l**4 + 2*l**6 - 195 - 3/4*l**2 - 5/2*l**3 - 69/10*l**5. 