0.
-1, 1
Let h(g) be the second derivative of g**7/14 + 9*g**6/10 - 3*g**5/20 - 9*g**4/4 - 1202*g. Find l, given that h(l) = 0.
-9, -1, 0, 1
Let x be (-4)/18 + (-14436)/(-81) + -5. Solve -198*w**2 - 90 - 57*w**3 - 9*w**5 + 48*w**4 - 80*w**3 - 267*w + x*w**3 = 0.
-1, -2/3, 3, 5
Let a(b) = -11*b**2 + 38*b - 30. Let q(u) = 20*u**2 - 75*u + 50. Let p(h) = -5*a(h) - 3*q(h). Factor p(i).
-5*i*(i - 7)
Factor 6102/11*c**2 + 162/11*c**3 + 18816/11 + 58464/11*c.
6*(3*c + 1)*(3*c + 56)**2/11
Let l = 2/19 - -53/38. Let y(h) = -53*h - 263. Let v be y(-5). Let -l*r**v - 6*r + 3/2 + 6*r**3 = 0. What is r?
-1, 1/4, 1
Let k be ((-44)/20 + (-2)/(-1))/((-72)/480). Let w(s) be the first derivative of -25 - 2/15*s**5 + 0*s**4 + 2*s + k*s**3 + 8/3*s**2. Find y such that w(y) = 0.
-1, 3
Let k(z) be the first derivative of z**6/3 + 32*z**5/5 + 25*z**4/2 - 92*z**3/3 - 52*z**2 + 112*z + 1647. Solve k(l) = 0.
-14, -2, 1
Let p(h) be the first derivative of -2*h**3/27 - 3*h**2 + 320*h/9 + 1136. Let p(t) = 0. What is t?
-32, 5
Factor 4/9*n**4 + 20/9*n + 44/9*n**2 + 28/9*n**3 + 0.
4*n*(n + 1)**2*(n + 5)/9
Let z be -24*(4/3)/(36/27). Let h be (-2 + 2)*(-24)/z. Factor -1/2*j**2 + 0 + h*j.
-j**2/2
Let m(o) = 9008*o - 90078. Let q be m(10). Find d such that -6/5*d**3 + 486/5*d**q - 13122/5*d + 118098/5 = 0.
27
Let y = 2/166897 - -166893/333794. Factor -y*d**3 + 9 + 3/2*d - 2*d**2.
-(d - 2)*(d + 3)**2/2
Let g(t) be the second derivative of -7/24*t**3 + 37*t - 1/80*t**5 - 5/48*t**4 - 3/8*t**2 - 1. Factor g(p).
-(p + 1)**2*(p + 3)/4
Let w(h) = -h**2 - 21*h + 128. Let m be w(-24). Suppose -31*y + m*y - 25 = 0. What is t in 1/3*t**3 - y - 1/3*t**2 - 5/3*t = 0?
-1, 3
Suppose -102*v + 444 = 46*v. Let b(i) be the second derivative of 0 + 5/33*i**4 - v*i + 6/11*i**2 + 19/33*i**3. Find s, given that b(s) = 0.
-3/2, -2/5
Let l = -345277 + 345279. Let -1/3*r**3 - 15*r - 4*r**l - 18 = 0. What is r?
-6, -3
Let n(j) be the third derivative of 0*j + 2 - 7/240*j**5 - 1/24*j**3 - 5/96*j**4 - 1/160*j**6 - 11*j**2. Let n(u) = 0. Calculate u.
-1, -1/3
Let z(q) be the first derivative of -2/3*q**3 + 6 + 32*q**2 - 512*q. Factor z(b).
-2*(b - 16)**2
Let t = -847045 - -4235341/5. Find u such that t*u**2 - 118/5*u + 0 + 2/5*u**3 = 0.
-59, 0, 1
Factor -112*p**3 + 110*p**3 + 1738*p**2 + 414949376 - 2102784*p - 155*p**2 + 1969*p**2.
-2*(p - 592)**3
Let h = 847345 - 3389377/4. Let 0 + h*u**4 - 3/2*u**3 - 39/4*u**2 - 15/2*u = 0. Calculate u.
-2, -1, 0, 5
Suppose 0 = 709*r - 926*r + 1085. Let o(b) be the third derivative of -38*b**2 - 1/12*b**r + 5/3*b**3 + 0*b + 0 - 5/24*b**4. Factor o(f).
-5*(f - 1)*(f + 2)
Let l(b) = -4*b**3 + 81*b**2 - 59*b + 48. Let h(y) = y**3 - 2*y**2 - 8*y - 2. Let j(u) = 30*h(u) + 5*l(u). Suppose j(n) = 0. What is n?
-36, 1/2, 1
Let w(q) be the second derivative of 2116*q**6/135 + 46*q**5/15 + q**4/6 + 1706*q. Factor w(c).
2*c**2*(46*c + 3)**2/9
Let z(v) = 9*v**2 - 115*v + 40. Let k(j) = -12*j**2 + 154*j - 52. Let w(t) = 10*k(t) + 13*z(t). Factor w(p).
-3*p*(p - 15)
Let x(a) be the third derivative of -a**6/40 + 31*a**5/10 + 63*a**4/8 + 493*a**2 + 1. Factor x(i).
-3*i*(i - 63)*(i + 1)
Let n = -143 + 213. Let m be 1*84/n*(-15)/(-33). Factor 8/11*a**2 + 2*a - m.
2*(a + 3)*(4*a - 1)/11
Suppose -502*b = -1618 + 1618. Factor 0*f + 1/2*f**4 + f**3 + 0*f**2 + b.
f**3*(f + 2)/2
Let q(z) = 23*z - 5*z - 4*z + 11 + 5. Let f(i) = i**2 + i + 1. Let k(d) = 2*f(d) - q(d). Suppose k(c) = 0. Calculate c.
-1, 7
Let d(m) = -20*m**3 + m - 1. Let r(g) = -62*g**3 - 26*g**2 + 83*g + 1397. Let z(c) = 3*d(c) - r(c). Factor z(x).
2*(x - 7)*(x + 10)**2
Let f = 1726773 - 1726770. Factor 2/3*d**f + 432 + 76/3*d**2 + 264*d.
2*(d + 2)*(d + 18)**2/3
Let a(d) be the second derivative of 40*d + 0 - 1/36*d**4 + 2/9*d**3 + 5/6*d**2. Solve a(c) = 0.
-1, 5
Let h(f) = 2*f**4 - f**3 + f + 1. Let p(l) = l**5 + 6*l**4 + 74*l**3 + 90*l**2 - 5*l - 5. Let z(o) = -5*h(o) - p(o). Factor z(t).
-t**2*(t + 3)**2*(t + 10)
Suppose 0 = -46*l + 846 - 19062. Let j = l + 399. Factor 0 - 3/2*t**4 - 6*t + 21/2*t**2 - j*t**3.
-3*t*(t - 1)**2*(t + 4)/2
Let l be (-10)/15 + (-17)/(-3) + -2. Let -4 + 17*h**2 + 4*h**l - 4*h - 849*h**4 + 5*h**5 + 31*h**3 + 872*h**4 = 0. What is h?
-2, -1, 2/5
Suppose -z**3 + 190*z**2 - 1836*z**2 - 609769*z - 67560*z = 0. What is z?
-823, 0
Suppose 3*v**4 - 524*v**2 + 75755 + 115*v**3 + v**4 + 141*v**3 + 264*v - 75755 = 0. Calculate v.
-66, 0, 1
Factor b**2 - 24*b + 3/2*b**3 - 16.
(b - 4)*(b + 4)*(3*b + 2)/2
Factor 200*q**4 + 243602/7*q + 69800*q**2 + 2/7*q**5 + 246396/7*q**3 + 0.
2*q*(q + 1)**2*(q + 349)**2/7
Let a be 3204/(-1691) - (-21)/28*(-1 + 11/3). Let w be (-3)/((-9)/12) - 2. Factor -a*t**w - 4/19 + 6/19*t.
-2*(t - 2)*(t - 1)/19
Let i(o) = o**2 + 2*o + 2. Let a be i(-3). Suppose -a*r + 12 = -r. Factor -80*v**r + 5*v**4 - 1280*v - 68*v**2 + 100*v**2 + 1280 + 448*v**2.
5*(v - 4)**4
Let l(m) = -m**3 + m**2 - 1. Let y be 20*((-117)/12)/13. Let a(g) = -g**4 + 4*g**3 + 6*g**2 - 9*g - 5. Let c(x) = y*l(x) + 3*a(x). What is n in c(n) = 0?
-1, 0, 1, 9
Factor 368 - 4*k**2 + 580 + 176 + 1120*k.
-4*(k - 281)*(k + 1)
Let l(r) be the third derivative of r**5/90 - 47*r**4/36 - 440*r**3/9 + 13*r**2 + 2*r - 22. Factor l(x).
2*(x - 55)*(x + 8)/3
Let s(v) be the first derivative of -3*v**6/11 - 624*v**5/55 - 427*v**4/22 + 1456*v**3/11 - 1964*v**2/11 + 96*v - 456. Solve s(y) = 0.
-33, -4, 2/3, 1
Let 11*h**3 + 3*h**4 - h**5 + 22783*h**2 - 4*h**3 - 22810*h**2 + 18*h = 0. Calculate h.
-3, 0, 1, 2, 3
Let z(v) be the third derivative of -v**7/140 - 13*v**6/80 - 17*v**5/20 + 3*v**4 - 2*v**2 + 87*v. Factor z(i).
-3*i*(i - 1)*(i + 6)*(i + 8)/2
Let o(v) = 2*v**2 - 22*v - 120. Let f be o(15). Let s(c) be the second derivative of 5/16*c**3 - 3/4*c**2 - 1/32*c**4 - 22*c + f. Factor s(y).
-3*(y - 4)*(y - 1)/8
Factor 2/17*j**2 + 798848/17 + 2528/17*j.
2*(j + 632)**2/17
Let d(x) be the third derivative of 0 - 49*x**2 + 0*x**4 + 0*x - 1/30*x**6 + 0*x**3 + 2/15*x**5. Solve d(u) = 0 for u.
0, 2
Let y(o) = 13*o**3 - 3*o**2 - 160*o + 105. Let b(w) = 14*w**3 - 2*w**2 - 160*w + 108. Let q(t) = -3*b(t) + 4*y(t). Factor q(c).
2*(c - 4)*(c + 4)*(5*c - 3)
Factor -5 + 71 - r**3 + 215*r**4 + 55*r**2 - 432*r**4 + 216*r**4 - 127*r + 8*r**3.
-(r - 11)*(r - 1)**2*(r + 6)
Suppose -568*b = -1557 - 1283. Factor 2*g**3 + 0*g**4 - 3/2*g + 1 - g**2 - 1/2*g**b.
-(g - 1)**3*(g + 1)*(g + 2)/2
Let x be 112 + 0*((-9)/(-6) + -1). What is g in -212*g**3 + 1 - x*g**2 - 3*g**5 - 1 - 152*g**4 - 16*g - 33*g**5 = 0?
-2, -1, -2/9, 0
Let r(y) be the second derivative of y**4/3 + 88*y**3/3 - 954*y**2 + 15*y - 38. Determine i so that r(i) = 0.
-53, 9
Suppose 729/5*z + 42 - 21/5*z**2 = 0. What is z?
-2/7, 35
Let i be (-7)/7*(4 - 2)/2. Let o be ((-1)/i)/((-10)/(-20)). Factor 1/8*h**o + 2 - h.
(h - 4)**2/8
Let o(f) be the third derivative of f - 4*f**2 + 0 + 1210/3*f**3 + 1/12*f**5 + 55/6*f**4. Let o(h) = 0. Calculate h.
-22
Let c(x) = -15*x - 7. Let p be c(-13). Factor -26*q**3 + 36*q**4 - 13 - 22*q - 126*q - 2*q**3 - p*q**2 - 11.
4*(q - 3)*(q + 1)**2*(9*q + 2)
Let m(r) be the third derivative of r**8/1176 - r**7/245 - r**6/21 + 16*r**4/21 + 16*r**3/7 + 2*r**2 + 1212*r. Let m(y) = 0. Calculate y.
-2, -1, 2, 6
Let f(y) be the first derivative of -98*y**5/65 + 5355*y**4/13 - 1191674*y**3/39 + 1159740*y**2/13 - 1149128*y/13 - 5148. Determine o so that f(o) = 0.
1, 758/7
Let k(l) = -62*l**2 + 75*l - 9. Let n be k(1). Determine b, given that -15/4*b + 9/2*b**n - 105/4*b**3 + 0 + 39/2*b**2 = 0.
0, 1/3, 1/2, 5
Let y(i) = -27*i**3 + 159*i + 207. Let q(o) = 2*o**3 - 20*o - 5*o**3 + 52 - 4*o**3 + 60*o. Let h(w) = 15*q(w) - 4*y(w). Find n such that h(n) = 0.
-2, 4
Suppose 10*t + 0 = 30. Let u(q) be the second derivative of -q + 5/12*q**4 + 0 + 0*q**2 + 0*q**t. Factor u(p).
5*p**2
Let w(v) be the second derivative of v**7/21 + 7*v**6/15 - 9*v**5/10 - 33*v**4/2 + 324*v**2 - v - 966. Suppose w(h) = 0. What is h?
-6, -3, 2, 3
Let l be (16/24)/(3/18). Suppose 0*s**2 - 16*s**2 + 6*s**2 + 3*s**2 + l*s**2 + 354*s - 10443 = 0. What is s?
59
Let m(c) be the second derivative of 1/10*c**5 + 3/2*c**4 - 4*c + 10 + 8*c**3 + 16*c**2. Factor m(z).
2*(z + 1)*(z + 4)**2
Let c = -132 + 132. Let k be c - 1 - (-25)/((-150)/(-8)). Solve o + k*o**3 - 1/3 - o**2 = 0.
1
Let x(l) be the second derivative of -l**5