+ 31*n**2/4 + 137*n. Find y such that o(y) = 0.
-2, -1, 1, 31
Determine a, given that 74/17*a**2 + 0 + 32/17*a**5 + 210/17*a**3 + 176/17*a**4 + 8/17*a = 0.
-4, -1, -1/4, 0
Let p be (5 - 3)*(3 + -2). Let m(j) be the second derivative of 17*j + 5*j**p - 5/4*j**4 + 0 + 5/2*j**3 - 1/2*j**5. Determine y, given that m(y) = 0.
-2, -1/2, 1
Let d(y) be the first derivative of -7/12*y**2 - 5/3*y + 43 - 1/18*y**3. Factor d(t).
-(t + 2)*(t + 5)/6
Let -320/7*f - 4/7*f**3 + 400/7 + 68/7*f**2 = 0. Calculate f.
2, 5, 10
Let o = 142297/4 - 35574. Factor 1/4*x**3 - 1/4*x - o*x**2 + 1/4.
(x - 1)**2*(x + 1)/4
Let f = 494 + -734. Let r be f/(-175) + ((-64)/(-20))/(-4). Let 16/7*b + r*b**2 + 12/7 = 0. Calculate b.
-3, -1
Factor 0*g - 51/4*g**3 + 0 - 105/8*g**2 + 3/8*g**4.
3*g**2*(g - 35)*(g + 1)/8
Determine t, given that -26896/3 + 66574/3*t**3 - 66584/3*t + 10/3*t**5 + 28532/3*t**2 - 1636/3*t**4 = 0.
-1, -2/5, 1, 82
Factor 4*u - 13/6*u**3 - 5/3*u**2 - 1/6*u**4 + 0.
-u*(u - 1)*(u + 2)*(u + 12)/6
Let t(c) be the second derivative of -c**6/50 - 18*c**5/25 - 193*c**4/20 - 57*c**3 - 120*c**2 - 42*c + 21. Determine b, given that t(b) = 0.
-10, -8, -5, -1
Let o(d) be the first derivative of d**4/12 - 41*d**3/3 + 157*d**2/2 + 595*d/3 - 5140. Factor o(v).
(v - 119)*(v - 5)*(v + 1)/3
Let p(u) = 17*u**4 + 91*u**3 + 1194*u**2 - 2137*u - 1347. Let h(i) = -14*i**4 - 93*i**3 - 1194*i**2 + 2136*i + 1348. Let f(j) = -5*h(j) - 4*p(j). Factor f(n).
(n - 2)*(n + 26)**2*(2*n + 1)
Let b(i) = 64260*i - 449820. Let k be b(7). What is u in -6/11*u**4 - 72/11*u + 138/11*u**2 + k - 60/11*u**3 = 0?
-12, 0, 1
Let j(y) be the second derivative of 3*y**7/70 - y**6/5 - 33*y**5/100 + y**4/2 + 4*y**3/5 - 346*y + 1. Find r, given that j(r) = 0.
-1, -2/3, 0, 1, 4
Find i, given that -1/4*i**3 + 15/4*i**2 - 23/4*i - 1/4*i**4 + 5/2 = 0.
-5, 1, 2
Let i(s) be the second derivative of 3/2*s**5 + 125/12*s**4 + 55/3*s**3 + 15/2*s**2 - s - 69. Determine z so that i(z) = 0.
-3, -1, -1/6
Let s be -5*(-2)/(-30)*-12. Let q(g) be the second derivative of 0 - 31*g - 1/45*g**3 - 2/15*g**2 + 1/90*g**s. Factor q(i).
2*(i - 2)*(i + 1)/15
Determine n, given that 12*n**4 - 120*n - 7*n**4 + 3*n**3 + 15*n**4 - 74*n**2 - 28*n**3 - 116*n**2 = 0.
-2, -3/4, 0, 4
What is b in 27 + 5 - 4*b**5 + 144*b**3 - 32 - 20*b**4 + 1088*b**2 + 1831*b - 39*b = 0?
-4, 0, 7
Let w(i) be the third derivative of 25/3*i**4 + 0*i**3 + 0 + 0*i - 69*i**2 - 1/12*i**5. Find b such that w(b) = 0.
0, 40
Let -3/8*z**2 + 495/8*z - 123/2 = 0. Calculate z.
1, 164
Suppose -3*d + 2*q = -5, -4*q + 41 = d + 16. Suppose d = t + 5*h - 2, 0 = -2*t + 4*h. Determine w so that 0 + 8/5*w - 2*w**t + 2/5*w**3 = 0.
0, 1, 4
Let o = -1315191/5 - -263043. Solve 2/5*g**3 + 0*g + 0 + o*g**2 = 0 for g.
-12, 0
Let v(d) be the third derivative of -d**9/40320 + d**8/8960 - d**7/6720 + d**4/8 - 98*d**2. Let p(r) be the second derivative of v(r). Factor p(n).
-3*n**2*(n - 1)**2/8
Let g(v) be the first derivative of 0*v + 1/16*v**4 - 1/20*v**5 + 1/6*v**3 + 0*v**2 - 109. Let g(n) = 0. What is n?
-1, 0, 2
Let n be 4/14 - (-74)/(-14). Let m(x) = 2*x**5 - 36*x + 15*x - x**3 + 21*x + x**2. Let k(l) = l**5 + l**3 + l**2 - l. Let t(d) = n*k(d) + 5*m(d). Factor t(g).
5*g*(g - 1)**2*(g + 1)**2
Let -73*h - 1097*h - 451*h + 3*h**2 + 79*h = 0. Calculate h.
0, 514
Find o such that -76/15 + 2/15*o**4 + 14/5*o + 74/15*o**2 - 14/5*o**3 = 0.
-1, 1, 2, 19
Determine h so that 0 + 8/17*h**4 - 8/17*h**2 - 2/17*h**5 - 4/17*h**3 + 6/17*h = 0.
-1, 0, 1, 3
Let b(s) be the first derivative of -147 - 1/3*s**3 - 13/2*s**2 + 0*s. Suppose b(z) = 0. Calculate z.
-13, 0
Let n = 895 - 69. Suppose -n = 7*w - 847. Determine p, given that 0*p + 0*p**2 + 3/7*p**5 - 9/7*p**w - 6/7*p**4 + 0 = 0.
-1, 0, 3
Let q(m) = m**3 + 32*m**2 - 64*m + 152. Let u be q(-34). Let l be u/(-3)*((-540)/56 + 9). Let 4/7*x**2 + 20/7 + l*x = 0. What is x?
-5, -1
Let s(k) be the first derivative of -21*k**5/20 - 43*k**4/8 + 13*k**3/12 + 43*k**2/4 + 2*k - 1075. Suppose s(v) = 0. Calculate v.
-4, -1, -2/21, 1
Let s be (119/34)/(763/654). Suppose 0*v**2 - 2/11*v**s + 0*v + 0 = 0. Calculate v.
0
Let v be (783/117 + -7)*2*(-117)/36. Find s, given that 23/3*s**v - 8/3*s + 25/3*s**5 - 4/3 - 55/3*s**4 + 19/3*s**3 = 0.
-2/5, 1
Let z(i) be the first derivative of 4*i**3/3 + 6564*i**2 + 10771524*i - 1653. What is j in z(j) = 0?
-1641
Let y be 2/8*2*3. Suppose -43776*j + 200 = -43676*j. Let 1/2*c**2 + j*c + y = 0. What is c?
-3, -1
Let d(k) = 25*k**2 + 5*k - 11. Let f be d(2). Factor 3*o**2 + o**2 - f*o + 87*o.
4*o*(o - 3)
Let o(y) be the second derivative of 3*y**7/280 + 17*y**6/120 + 9*y**5/20 - y**4 - 71*y**3/3 - 2*y + 48. Let b(l) be the second derivative of o(l). Factor b(x).
3*(x + 2)*(x + 4)*(3*x - 1)
Let k(d) be the second derivative of d**4/4 - 65*d**3 + 1143*d**2/2 - 61*d + 10. Factor k(l).
3*(l - 127)*(l - 3)
Let k(j) be the first derivative of 2*j**3/11 - 180*j**2/11 - 6750*j/11 + 7930. Factor k(x).
6*(x - 75)*(x + 15)/11
Let c = -76 + 71. Let z be (-3)/(-9)*(15/(-12) - c). Suppose 0 - z*p + 1/4*p**2 = 0. What is p?
0, 5
Let a(y) = -y + 2. Let m be a(-1). Let n = 89022/47311 + 2/2783. Factor 0 - 30/17*x**m - 8/17*x - n*x**2.
-2*x*(3*x + 2)*(5*x + 2)/17
Let k(f) be the third derivative of -f**5/80 + 9*f**4/32 - f**3 - 2146*f**2. Factor k(m).
-3*(m - 8)*(m - 1)/4
Let q(f) = -2191*f + 94213. Let p be q(43). Find x such that -52/3*x + 2/3*x**2 + p = 0.
0, 26
Let j(r) = -7*r**4 + 5*r**3 + 13*r**2 - 8*r - 19. Let y(f) = 3*f**4 + 10 + 5*f - 2*f**3 - 18157*f**2 + 18150*f**2 - f. Let h(o) = 2*j(o) + 5*y(o). Factor h(l).
(l - 2)**2*(l + 1)*(l + 3)
Let u = -4212 - -4212. Let s(w) be the first derivative of -2/9*w**3 + u*w - 1/6*w**2 + 16 - 1/12*w**4. What is t in s(t) = 0?
-1, 0
Let u be 23/(-115) + (330/(-500))/(1*-3). Let s(a) be the second derivative of 0 + 0*a**2 - 2/15*a**3 + 26*a + 1/30*a**4 + u*a**5. Factor s(c).
2*c*(c - 1)*(c + 2)/5
Let c(u) = -2*u**3 + 140*u**2 + 1787*u - 405. Let y be c(81). Factor 9/8*x**2 + y - 1/8*x**4 + 27/8*x - 3/8*x**3.
-x*(x - 3)*(x + 3)**2/8
Suppose 0 + 35*z - 41*z**2 - 1/4*z**4 + 25/4*z**3 = 0. What is z?
0, 1, 10, 14
Suppose 3*k - 18 - 12 = 0. Factor -k*b**5 + 70*b**4 - 45 - 10*b**2 + 5*b**5 + 125*b - 107*b**3 - 13*b**3 - 15.
-5*(b - 12)*(b - 1)**3*(b + 1)
Let y(d) be the second derivative of 2*d**6/15 + 13*d**5/5 - 161*d**4/3 + 98*d**3 + 16*d - 54. Let y(g) = 0. What is g?
-21, 0, 1, 7
Let w(f) be the second derivative of f**6/40 + 9*f**5/5 + 621*f**4/16 + 1215*f**3/4 - 2*f + 114. Determine s so that w(s) = 0.
-30, -9, 0
Solve 1/2*x**3 + 24*x + 0 - 25*x**2 + 1/2*x**4 = 0.
-8, 0, 1, 6
Let f(x) be the first derivative of x**3/21 - 150*x**2/7 + 22500*x/7 + 392. Find z, given that f(z) = 0.
150
Let j(k) = 5*k**4 - 11*k**3 + k**2 + k - 1. Let s(i) = i**5 - 3*i**4 + i**3 + i**2 + i - 1. Let v(f) = -j(f) + s(f). Factor v(w).
w**3*(w - 6)*(w - 2)
Factor 135*t**2 - 197*t + 448 - 3*t**4 + 28*t**3 + 85*t - 1280*t.
-(t - 8)**2*(t + 7)*(3*t - 1)
Find x such that 48/11*x + 4/11*x**3 + 40/11*x**2 + 0 - 2/11*x**4 = 0.
-2, 0, 6
Let g(w) = 5*w**2 + 245 - 155 - 47*w - 133. Let y(l) = 2*l**2 - 16*l - 14. Let d(f) = -4*g(f) + 11*y(f). Factor d(c).
2*(c + 3)**2
Find z, given that -154/5 - 7/10*z**2 - 158/5*z + 1/10*z**3 = 0.
-14, -1, 22
Let i be (-10)/15*(4 + (-85)/10). Determine g so that -5*g**3 - 275*g + 5*g**4 + 280*g + 0*g**i + 6 + 4 - 15*g**2 = 0.
-1, 1, 2
Let p(q) be the first derivative of q**6/1260 - 11*q**5/420 + 5*q**4/42 - q**3/3 + 109*q**2/2 - 96. Let l(y) be the third derivative of p(y). Factor l(a).
2*(a - 10)*(a - 1)/7
Suppose 2*x = 3*h - 18, 0 = 4*h + 2*x - 7 + 11. Solve -3*o**4 - 12/5*o**h + 0 - 24/5*o**3 - 3/5*o**5 + 0*o = 0 for o.
-2, -1, 0
Let h(j) be the third derivative of -14/15*j**5 - 1/105*j**7 - 7/3*j**3 + 0 + 13/60*j**6 - 2*j**2 - 1/336*j**8 - 202*j + 47/24*j**4. Factor h(q).
-(q - 2)*(q - 1)**3*(q + 7)
Let k(u) be the first derivative of -u**4/36 - 3*u**3/8 + 7*u**2/24 - 20*u - 41. Let y(h) be the first derivative of k(h). Find v such that y(v) = 0.
-7, 1/4
Suppose -64*b + 850 = -59*b. Let l be (-8)/(-5) - b/(-425). Find g such that 2/9*g**l + 32/9 - 16/9*g = 0.
4
What is g in 1/4*g**2 - 290*g + 84100 = 0?
580
Let m be ((-24624)/(-45))/(-16)*5. Let t = m - -174. Determine d so that 2 - 1/2*d**t + 5/2*d**