ird derivative of 0*o**4 + 0*o**3 - 2/75*o**5 - 1/75*o**6 - 25 - 2*o**2 + 0*o - 1/525*o**7. Suppose f(k) = 0. Calculate k.
-2, 0
Let h(n) be the second derivative of -2*n + 0*n**2 - 1/4*n**3 - 3/16*n**5 + 7/16*n**4 - 25. Factor h(b).
-3*b*(b - 1)*(5*b - 2)/4
Determine a so that -106/7*a**4 + 0*a**2 + 2/7*a**5 + 104/7*a**3 + 0 + 0*a = 0.
0, 1, 52
Let z(k) be the first derivative of -2*k**3/3 - 95*k**2 + 192*k + 13. Solve z(s) = 0.
-96, 1
Let o(a) = 6*a**2 + 35*a + 28. Let v be o(-5). Let h(n) be the first derivative of 2/9*n**v - 26 + 54*n + 6*n**2. Let h(y) = 0. What is y?
-9
Suppose 5*v = 6*v + h - 69, 0 = -v + 4*h + 49. Factor 18*n**2 + 17*n**2 - v*n + 5*n**3 + 30 + 237*n**4 - 242*n**4.
-5*(n - 2)*(n - 1)**2*(n + 3)
Factor 94 + 1/4*y**3 + 43/2*y - 49/4*y**2.
(y - 47)*(y - 4)*(y + 2)/4
What is u in -358*u**2 - 791*u**3 + 255*u**3 - 348*u**3 + 160 + 944*u**4 - 98*u**2 - 228*u**5 + 464*u = 0?
-10/19, -1/3, 1, 2
Let x(l) be the first derivative of l**5/360 - l**4/24 + 5*l**3/36 + 32*l**2 + 49. Let h(q) be the second derivative of x(q). Determine w so that h(w) = 0.
1, 5
Let w(o) = -17*o**2 + 57304*o + 102760443. Let k(h) = -11*h**2 + 28648*h + 51380221. Let i(p) = 5*k(p) - 3*w(p). Suppose i(r) = 0. What is r?
-3584
Let x be -4 + (7 + -1 - 1). Let a be (344/48 + -7)/x. Let -1/6*r + 1/6*r**2 + a*r**3 - 1/6 = 0. Calculate r.
-1, 1
Let y = -5/831 - -827/91410. Let c(d) be the third derivative of y*d**5 + 0 - 1/132*d**4 + 0*d + 15*d**2 - 2/33*d**3. Find o such that c(o) = 0.
-1, 2
Let n(s) = -2*s**3 + 2. Let k(z) = 9*z**3 + 10*z**2 - 16*z - 10. Let g(a) = k(a) + 5*n(a). Suppose g(h) = 0. What is h?
0, 2, 8
Factor -2/17*n**2 + 1264/17*n - 1262/17.
-2*(n - 631)*(n - 1)/17
Let x(l) be the second derivative of l**4/42 - 8*l**3/3 + 55*l**2/7 - 353*l + 2. Find q, given that x(q) = 0.
1, 55
Factor -1/3*j**4 + 53/3*j**3 + 0*j + 0 - 52/3*j**2.
-j**2*(j - 52)*(j - 1)/3
Suppose -35*g - 83908 = -84013. Factor -2/5*p**g + 2/5*p - 6/5*p**2 + 6/5.
-2*(p - 1)*(p + 1)*(p + 3)/5
Let y(j) = j**5 - j**3 - j**2 + j. Let u(f) = f**5 + 23*f**4 - 91*f**3 - 67*f**2 + 38*f. Let q(d) = 5*u(d) + 20*y(d). Let q(v) = 0. Calculate v.
-7, -1, 0, 2/5, 3
Let r be (-160)/(-25) - 9/(-15). Suppose 15*y + y - r*y = 0. Suppose 0 - 4/5*u**3 + 0*u**2 + y*u - 6/5*u**4 - 2/5*u**5 = 0. What is u?
-2, -1, 0
Factor -2/5*f**2 + 0 - 2242/5*f.
-2*f*(f + 1121)/5
Let o = -101 - -104. Let -4*i**3 + 2*i**5 + 7*i**3 + 0*i**o - 5*i**3 = 0. Calculate i.
-1, 0, 1
Let y(v) be the second derivative of v**4/12 + 16*v**3/3 + 175*v**2/2 + 665*v. Factor y(a).
(a + 7)*(a + 25)
Suppose 162*h - 595 = 43*h. Let v(i) be the second derivative of 0*i**3 + 0 + 1/3*i**6 - 8*i + 0*i**2 - 5/42*i**7 - 1/4*i**h + 0*i**4. Factor v(s).
-5*s**3*(s - 1)**2
Suppose 139*z + 770 = 149*z. Suppose -40*r = -83 - z. Factor -18/5*x + 2/5*x**2 - r.
2*(x - 10)*(x + 1)/5
Let j be ((-8)/(-24))/((-1)/(-9)). Suppose -6*w + w = -4*i + 249, 5*i - 2*w - 290 = 0. Let 2 + 6 + 1 + 6*v**3 + i*v**2 - 68*v**2 + j*v**4 - 6*v = 0. What is v?
-3, -1, 1
Let m be 1*(-19)/(-10)*(-112)/(-44). Let v = m - 29/11. Solve n**4 - 11/5*n**3 + v*n - 2/5 - 3/5*n**2 = 0.
-1, 1/5, 1, 2
Let o be 34/4*3384/14382. Find k such that 12/5*k**o - 2/5*k**3 - 18/5*k + 0 = 0.
0, 3
Let u(v) = 3 + 25 - 6 + 52*v**2 + 19 + 13*v**3 + 91*v. Let y(r) = -38*r**3 - 156*r**2 - 274*r - 122. Let t(k) = 14*u(k) + 5*y(k). Suppose t(o) = 0. What is o?
-3, -1/2
Let w = -162 - -164. Solve k**w + 7*k**3 - 3*k**2 + 266*k**4 - 269*k**4 = 0.
0, 1/3, 2
Let j(z) = 410*z + 182. Let v be j(9). Factor t + v - 108*t - 69*t + 2*t**2.
2*(t - 44)**2
Let s(o) = 2*o**2. Let m(i) = -11*i**2 + 4. Suppose 348 - 108 = -16*c. Let j(b) = c*s(b) - 3*m(b). Factor j(q).
3*(q - 2)*(q + 2)
Determine g so that -117/2 - 3/4*g + 27/4*g**2 = 0.
-26/9, 3
Let q be (-13 - (-20565)/1575)/(2/10). Determine x, given that -10/7*x + q*x**2 + 8/7 = 0.
1, 4
Let l(o) = -o**2 + 4. Let j(r) = -9*r**2 - 300*r - 1401. Let b(n) = j(n) - 6*l(n). Factor b(y).
-3*(y + 5)*(y + 95)
Let t(m) = -m**4 + 2*m**3 + m**2 + m + 2. Let d(p) = -p**4 - 6*p**3 + p**2 + 3*p - 2. Let s(z) = 2*d(z) + 2*t(z). Solve s(r) = 0.
-2, -1, 0, 1
Let p(l) = 335*l**2 + 15072*l - 132. Let m be p(-45). Solve -128/11 - 50/11*a**4 - 60/11*a**m + 96/11*a + 142/11*a**2 = 0 for a.
-8/5, 1
Let x(t) be the third derivative of -1/2*t**3 - 10 + t**2 + 37/60*t**5 - 29/120*t**6 + 0*t + 1/35*t**7 - 11/24*t**4. Factor x(c).
(c - 3)*(c - 1)**2*(6*c + 1)
Let y(v) = v**4 + v**3 + 10*v**2 - v + 1. Let k(l) = 8*l**4 + 12*l**3 - 186*l**2 + 44*l + 2. Let z(o) = -2*k(o) - 20*y(o). Find b, given that z(b) = 0.
-3, -2/9, 1
Let q(t) be the third derivative of -t**8/336 - 11*t**7/210 - 19*t**6/120 - 3*t**5/20 + 2*t**2 - 753*t. Factor q(n).
-n**2*(n + 1)**2*(n + 9)
Determine z so that 33963*z - 66*z**2 - 55*z**3 - 33942*z + 12*z**4 - 20*z**3 = 0.
-1, 0, 1/4, 7
Suppose 0 = -2*n - q + 7, n + 3*n + 1 = -5*q. Let i be (-3 - -4)*(n + (3 - 4)). Factor 3*h**4 + 11*h**5 + h**4 - 4*h**2 - 4*h**3 - 7*h**i.
4*h**2*(h - 1)*(h + 1)**2
Let 60*g**2 - 173591*g + 173591*g - 27*g**3 = 0. Calculate g.
0, 20/9
Suppose 678 + 748 = 127*z - 1241. Let a(x) be the first derivative of -5*x**2 - x**5 + 0*x - z + 5/3*x**3 + 5/2*x**4. Let a(t) = 0. What is t?
-1, 0, 1, 2
Let u(d) be the second derivative of -d**7/21 + d**6 - 22*d**5/5 - 62*d**4/3 + 64*d**3 + 256*d**2 - 227*d. Solve u(a) = 0.
-2, -1, 2, 8
Let n(c) = -c**3 + 5*c - 5. Let q be n(2). Let h be (-8 + 2)/q*1. Solve g + 1 + 1/4*g**h = 0.
-2
Suppose 445*n**2 - 755*n + 483*n**2 - 134*n - n**3 - 1304*n**2 + 708 + 558*n**2 = 0. Calculate n.
1, 4, 177
Let l(t) = -91*t - 88. Let p be l(-1). Let d(o) be the first derivative of -1/3*o + 1/12*o**4 + 9 - 1/6*o**2 + 1/9*o**p. Factor d(n).
(n - 1)*(n + 1)**2/3
Let r(b) be the third derivative of -b**5/12 + 65*b**4/12 - 175*b**3/2 + 308*b**2. Let r(z) = 0. What is z?
5, 21
Let s(w) be the first derivative of 28*w**5/5 + 152*w**4 + 412*w**3/3 - 84*w**2 - 581. Find p such that s(p) = 0.
-21, -1, 0, 2/7
Let t(a) be the second derivative of 9*a**5/4 - 305*a**4/12 - 35*a**3/3 - 1441*a + 3. Factor t(d).
5*d*(d - 7)*(9*d + 2)
Suppose -3*i = -63*w + 65*w + 3035, -5*w - 2005 = 2*i. Let r = i + 3047/3. Factor -1/3*q**5 - 1/3 - 1/3*q**4 + 2/3*q**3 + r*q**2 - 1/3*q.
-(q - 1)**2*(q + 1)**3/3
Let t(y) be the first derivative of 23 - 121/80*y**5 + 43*y + 9/2*y**2 - 7*y**3 + 253/48*y**4. Let o(w) be the first derivative of t(w). Factor o(s).
-(s - 1)*(11*s - 6)**2/4
Suppose -35 = 5*b - 3*t, -b - 11*t + 32 = -9*t. Let -7*h**5 + 144/5*h - 56*h**3 + 186/5*h**4 + 32/5 + 16/5*h**b = 0. What is h?
-2/5, -2/7, 2
Factor 24/7 - 10/7*k - 4/7*k**2.
-2*(k + 4)*(2*k - 3)/7
Let d(w) be the second derivative of w**10/151200 - w**9/75600 - 9*w**4/4 + w + 7. Let g(f) be the third derivative of d(f). Determine b so that g(b) = 0.
0, 1
Suppose 3*p + 29 = 107. What is g in -11*g**2 + 10*g**5 + 0*g + 18*g**3 - g + 13*g**2 - p*g**4 - 3*g = 0?
-2/5, 0, 1
Let l(d) be the first derivative of 4*d**5/75 - 391*d**4/30 + 1166*d**3/45 - 194*d**2/15 + 4256. Solve l(i) = 0 for i.
0, 1/2, 1, 194
Let x(p) be the second derivative of 1/4*p**4 - 1 + 5*p + 0*p**2 - 1/20*p**5 + 0*p**3. Let x(z) = 0. What is z?
0, 3
Let g be (7 + -18)*(1 - 2). Let q be -12*(-1 + (-2)/(-6)). Let 10*l**3 - 5*l**3 + 15*l**2 + q*l - 9*l + g*l = 0. Calculate l.
-2, -1, 0
Let b = -1232 + 295681/240. Let a(i) be the third derivative of 5*i**2 + 0*i + 0 + 5/48*i**4 + 25/24*i**3 + b*i**5. Determine f, given that a(f) = 0.
-5
Suppose 41/5*t - 42/5*t**3 - 21/5 + 1/5*t**5 + 2/5*t**2 + 19/5*t**4 = 0. Calculate t.
-21, -1, 1
Let k(p) be the third derivative of p**7/42 + 5*p**6/12 + 2*p**5 + p**2 - 54*p. Solve k(g) = 0.
-6, -4, 0
Suppose -60 = -z - 35. Let h be (-9)/(0/(z/5) - 2). Factor h - 1/4*g**3 - g**2 + 3/4*g.
-(g - 2)*(g + 3)**2/4
Let r(k) = 302*k**3 + 3321*k**2 - 20*k - 93. Let s be r(-11). Solve s*h + 1/2*h**4 + 2 + 3*h**3 + 13/2*h**2 = 0 for h.
-2, -1
Factor -2176*x**2 + 93*x**4 + 31178 + 35*x**4 - 888*x**3 - 1156*x - 4*x**5 - 31178.
-4*x*(x - 17)**2*(x + 1)**2
Let i(p) = 4*p**2 + 337*p + 2235. Let t be i(-77). Factor 2/5*b**t + 4/5*b - 16/5.
2*(b - 2)*(b + 4)/5
Factor 6604/3*x + 267652/3*x**3 + 24244*x**2 + 200/3 + 5324/3*x**4.
4*(x + 50)*(11*x + 1)**3/3
Let w(c) = c**3 - c**2 + c - 10. Let z(l) = l*