?
-21, -7
Let h(o) be the second derivative of 0*o**2 - 5/4*o**4 - 66*o + 0*o**3 + 0 - 1/4*o**5. Factor h(t).
-5*t**2*(t + 3)
Let s(x) be the first derivative of -4*x**5/35 - 9*x**4/7 + 4*x**3/21 + 18*x**2/7 + 1647. Find d, given that s(d) = 0.
-9, -1, 0, 1
Let a = -16 - -24. Suppose -k = -5*k + a. Factor 0 - z**2 + 5 - 2 - k*z**2.
-3*(z - 1)*(z + 1)
Let q(u) be the first derivative of 56 + 1/28*u**4 + 2/21*u**3 + 0*u**2 + 0*u. Factor q(d).
d**2*(d + 2)/7
Let q(l) be the first derivative of -l**4/12 + 31*l**3/9 + 76*l**2/3 - 140*l + 3252. What is x in q(x) = 0?
-6, 2, 35
Let k(t) be the second derivative of -13/20*t**5 + 0*t**3 + 0*t**2 - 8/15*t**6 - 2/21*t**7 - 1 - 1/4*t**4 + 63*t. Factor k(a).
-a**2*(a + 3)*(2*a + 1)**2
Let h(s) be the second derivative of -s**7/84 - 3*s**6/5 + 199*s**5/40 - 125*s**4/12 - 13*s**3 + 82*s**2 + 519*s. Factor h(g).
-(g - 2)**3*(g + 1)*(g + 41)/2
Suppose -2*o = 2*b - 5*b + 9, -3*b = 3*o - 24. Factor a - 2*a**o + a**3 + 526 - 523 - 3*a**2.
-(a - 1)*(a + 1)*(a + 3)
Let v be (-59)/(-16992)*48*(-4)/30*(-18)/2. Let b = -2 - -4. What is k in v*k**b + 2/5*k + 1/5 = 0?
-1
Let f(w) be the first derivative of 10/39*w**3 + 1/13*w**2 + 1/13*w**4 + 73 - 4/13*w. What is u in f(u) = 0?
-2, -1, 1/2
Let y(p) be the second derivative of 42*p + 1/30*p**5 - 1/12*p**4 + 0 + 0*p**2 + 0*p**3 + 1/90*p**6. Determine s, given that y(s) = 0.
-3, 0, 1
Let r(g) be the first derivative of 3/11*g**2 - 1/22*g**4 + 4/11*g + 24 + 0*g**3. Suppose r(x) = 0. What is x?
-1, 2
Let w = -99 - -206. Solve 135*g - w*g + 203 + 2*g**2 - 7 - g**2 = 0 for g.
-14
Suppose 10*w - 2*w - 16 = 0. Suppose w*h + 3*a = 7 + 6, 16 = 2*h + 4*a. Let h*g**2 + g**2 - 24*g + 23*g + 12 - 11*g = 0. What is g?
2
Let b(q) = -6*q**3 - 83*q**2 - 140*q - 96. Let s be b(-12). Factor 68/5*c**3 + s + 16/5*c + 13*c**2 + 4/5*c**4.
c*(c + 16)*(2*c + 1)**2/5
Determine v so that -254/9*v + 2/9*v**2 + 1220/9 = 0.
5, 122
Let o = 47230750/5593113 - 2/621457. Factor -4/9*b**2 + o - 8*b.
-4*(b - 1)*(b + 19)/9
Suppose 0 + 1/5*i**2 + 41*i = 0. Calculate i.
-205, 0
Suppose 1/4*w**2 + 165/2*w - 331/4 = 0. Calculate w.
-331, 1
Let w(k) = 12*k**2 - 658*k + 5666. Let v(y) = -32*y**2 + 1755*y - 15109. Let n(h) = -10*v(h) - 27*w(h). Factor n(s).
-4*(s - 43)*(s - 11)
Let d(g) be the second derivative of -g**6/90 + 13*g**4/18 - 8*g**3/3 + 41*g**2 + 14*g. Let z(m) be the first derivative of d(m). Factor z(h).
-4*(h - 3)*(h - 1)*(h + 4)/3
Let g = -89667 + 89683. Determine q, given that 0 - 4/3*q**4 - 28*q**2 - 40/3*q - g*q**3 = 0.
-10, -1, 0
Let g(a) be the third derivative of 0*a + 1/40*a**5 - 21/8*a**4 + 0 + 41/4*a**3 + 173*a**2. Factor g(c).
3*(c - 41)*(c - 1)/2
Factor -2/9*y**2 - 1292/9*y - 208658/9.
-2*(y + 323)**2/9
Let l(q) be the second derivative of 0 + 1/36*q**4 + 3/2*q**2 + 50*q + 1/3*q**3. Factor l(z).
(z + 3)**2/3
Find j, given that -210 + 22*j - 1/2*j**2 = 0.
14, 30
Let k(v) = 3*v**2 + 3*v - 10. Let g be k(-3). Solve -9*r**3 + 62*r - 45*r + 7*r**2 + g*r**3 + 9 = 0 for r.
-1, 9
Suppose 0 = 3*k + 4*o - 190, 2*k - 4*o - 206 = -k. Let f(q) = -k + 132 - 65. Let b(h) = h**2 - 3*h - 9. Let a(r) = 2*b(r) + 22*f(r). Factor a(w).
2*(w - 2)*(w - 1)
Suppose 0 = -4*d - 1075 + 4315. Suppose 242*g**2 - 530*g**3 + d + 108*g**2 + 95*g**4 - 5*g**5 + 3104*g + 905 - 409*g = 0. Calculate g.
-1, 7
Let q = 73805/8 - 9225. Let f(m) be the third derivative of m**3 - 3/70*m**7 - q*m**4 + 0*m + 0 - 47*m**2 + 1/8*m**6 + 1/20*m**5. Suppose f(i) = 0. Calculate i.
-1, 2/3, 1
Let b be (-112)/(-115) - 6184/35558. Suppose -32/5*s**4 + 0*s + 0 + b*s**5 + 56/5*s**2 + 4*s**3 = 0. Calculate s.
-1, 0, 2, 7
Let n be (1730/(-42))/((-4)/6600*-11). Let d = n - -6206. Find i such that 3/7*i**2 + d - 48/7*i = 0.
8
Let o(t) be the third derivative of -t**8/112 + 19*t**7/35 - 13*t**6/5 - 19*t**5/10 + 105*t**4/8 - t**2 + 4*t - 268. Let o(y) = 0. Calculate y.
-1, 0, 1, 3, 35
Let v(p) be the first derivative of 63 - 5/4*p**4 + 5*p**3 + 0*p - 5/6*p**6 - 3*p**5 + 5*p**2. Determine c so that v(c) = 0.
-2, -1, 0, 1
Let v be (-6 - -2) + 44/11. Suppose v = -0*a - 2*a + 3*b - 4, -5*a = 3*b - 32. Factor 4/3*h + 4/3 + 1/3*h**a - 2/3*h**3 - h**2.
(h - 2)**2*(h + 1)**2/3
Let l = 1239137/5 + -247827. Factor l*i - 1/5 - 1/5*i**2.
-(i - 1)**2/5
Let p(j) be the second derivative of j**7/42 - 3*j**6/5 - 21*j**5/20 + 19*j**4/6 - 444*j + 1. Factor p(h).
h**2*(h - 19)*(h - 1)*(h + 2)
Let w be (-3)/(-1) - (-1 - 7/(-7)). Factor -2*m**4 + 63*m**2 - 41*m**2 - 2*m**4 + 18*m**w - 8 + 8*m**4.
2*(m + 1)*(m + 2)**2*(2*m - 1)
Suppose r = -43 - 11. Let n be (2 - 10/4)*r. Determine q, given that -n + 28*q + 0*q + 17*q**2 + 19*q**2 + 19 = 0.
-1, 2/9
Let z(x) be the third derivative of 0*x + 16*x**3 - 2 - 27/10*x**5 - 193*x**2 - 12*x**4 - 7/40*x**6. Factor z(b).
-3*(b + 4)**2*(7*b - 2)
Let b(j) be the third derivative of j**9/151200 + j**8/16800 - j**7/1400 - 3*j**6/200 - 8*j**5/15 - j**2. Let i(p) be the third derivative of b(p). Factor i(c).
2*(c - 3)*(c + 3)**2/5
Let z(b) = 23*b**2 + 4443*b + 774. Let w be z(-193). Factor -4/3*j**3 + 52/3*j**w - 16*j + 0.
-4*j*(j - 12)*(j - 1)/3
Let n = 150788 - 150786. Factor -3*p**n + 0*p + 1/2*p**5 + p**4 + 0 - 5/2*p**3.
p**2*(p - 2)*(p + 1)*(p + 3)/2
Suppose -25*u - 7*u = -9 + 9. Let o(w) be the second derivative of 1/2*w**3 - 17*w - 9/4*w**2 - 1/24*w**4 + u. Solve o(b) = 0 for b.
3
Let n(x) be the first derivative of x**5/20 - 5*x**4/16 - 41*x**3/12 + 45*x**2/8 + 8293. Factor n(y).
y*(y - 9)*(y - 1)*(y + 5)/4
Let g(r) be the first derivative of r**7/70 + r**6/20 - 3*r**5/20 - 19*r**2/2 - 2*r - 54. Let i(h) be the second derivative of g(h). Factor i(c).
3*c**2*(c - 1)*(c + 3)
Let k(b) = 844*b + 63302. Let z be k(-75). Find h such that -9*h**z - 15/7*h**4 - 6/7 + 51/7*h**3 + 33/7*h = 0.
2/5, 1
Let j = 79291 + -79289. What is c in -3/2*c**2 - j*c**3 - 1/2*c**4 + 0*c + 0 = 0?
-3, -1, 0
Let h = -388 - -408. Solve -60*r**3 - 158*r**5 + 55*r - 10*r**2 + 76*r**5 + 87*r**5 + 30 - h*r**4 = 0.
-1, 1, 6
Let c(u) = 2*u**2 - u + 1. Let h(n) = 2*n**2 + 5*n**2 - 576 - 5*n + 579. Let m(v) = 6*c(v) - 2*h(v). Suppose m(s) = 0. What is s?
0, 2
Suppose -2/17*b**2 - 376712/17 + 1736/17*b = 0. What is b?
434
Solve 2*r**3 - 728*r**2 - 40692834 - 910*r**2 + 409478*r + 43254*r - 5558*r = 0 for r.
273
Let f(p) be the first derivative of -p**7/3360 - p**6/240 - 11*p**5/480 - p**4/16 + p**3/3 - 4*p - 66. Let q(b) be the third derivative of f(b). Factor q(j).
-(j + 1)*(j + 2)*(j + 3)/4
Factor 1476*s**3 + 75*s**2 - 755*s**3 + 130*s - 6 + 1029*s**3 - 925*s**2.
2*(5*s - 1)**2*(35*s - 3)
Let s(q) be the second derivative of q**4/60 + 4*q**3/15 + 6*q**2/5 + 3*q - 67. Find o, given that s(o) = 0.
-6, -2
Let n = -1411140/23 - -61354. Factor -n*a**3 - 34/23*a - 20/23 - 16/23*a**2.
-2*(a + 1)*(a + 2)*(a + 5)/23
Let x(c) = 11*c**3 - 3269*c**2 - 1096*c + 2208. Let b(i) = -10*i**3 + 3270*i**2 + 1095*i - 2215. Let s(t) = -4*b(t) - 5*x(t). Factor s(o).
-5*(o - 218)*(o + 1)*(3*o - 2)
Let w(m) be the first derivative of -m**8/14280 + m**7/1020 - m**6/306 - 92*m**3/3 - 74. Let x(n) be the third derivative of w(n). Factor x(b).
-2*b**2*(b - 5)*(b - 2)/17
Factor -288/17 - 24/17*g + 2/17*g**3 + 16/17*g**2.
2*(g - 4)*(g + 6)**2/17
Let c(i) be the third derivative of -i**6/450 - 11*i**5/150 + 13*i**4/15 - 89*i**3/6 + 15*i**2 - 2*i. Let y(t) be the first derivative of c(t). Factor y(w).
-4*(w - 2)*(w + 13)/5
Let w(k) be the first derivative of k**5/5 + 5*k**4/4 - 27*k**3 - 173*k**2/2 - 88*k + 46. Suppose w(v) = 0. Calculate v.
-11, -1, 8
Let f(m) be the first derivative of -9/4*m**4 + 7*m**3 + 0*m - 3*m**2 - 21/5*m**5 + 43 + 5/2*m**6. Find g such that f(g) = 0.
-1, 0, 2/5, 1
Let m be (-6)/1*(92/8 + 6). Let h = 105 + m. Let -z**2 + h*z**2 + 3*z**2 = 0. Calculate z.
0
Let r(j) = j**5 - j**3 - 1. Suppose 2*h - 3*u + 1 - 3 = 0, 3*h - 3*u = 3. Let w(g) = 9*g**5 - 20*g**4 + 11*g**3 - 4. Let n(t) = h*w(t) - 4*r(t). Factor n(v).
5*v**3*(v - 3)*(v - 1)
Determine k so that 2/9*k**5 - 1574/9*k + 386/9*k**4 + 2356/9*k**2 - 1564/9*k**3 + 394/9 = 0.
-197, 1
Let p(y) be the first derivative of y**4/16 + 11*y**3/3 - 139*y**2/8 + 47*y/2 - 1527. Factor p(k).
(k - 2)*(k - 1)*(k + 47)/4
Solve 2/9*f**5 + 88/9*f**2 + 0*f + 0 + 14/9*f**4 - 80/9*f**3 = 0 for f.
-11, 0, 2
Suppose 656/7*z**2 + 27540/7*z + 