is j in t(j) = 0?
-144, -1, 0, 1
Let i(v) be the first derivative of -5*v**3 + 1602*v**2 + 1284*v + 4036. Find r such that i(r) = 0.
-2/5, 214
Find r such that 126/5 + 87/5*r + 6/5*r**2 - 3/5*r**3 = 0.
-3, -2, 7
Let s(u) be the third derivative of u**5/120 + 37*u**4/24 + 73*u**3/12 + 832*u**2. What is c in s(c) = 0?
-73, -1
Let i be 9/(-3) - (2 + 82/(-1)). Let q be (528/i)/((-2)/(-7)). Find b, given that 5*b**5 - 125*b + 15*b**2 - q*b**3 - 15*b**4 + 29*b**3 + 115*b = 0.
-1, 0, 1, 2
Let b(m) be the first derivative of -2*m**5/45 + 53*m**4/18 - 520*m**3/9 - 400*m**2/9 + 112000*m/9 - 183. Suppose b(o) = 0. Calculate o.
-7, 20
Let k be 706 + -725 + 742/38. Solve -14/19*o**2 + 4/19*o**3 + k*o + 0 = 0.
0, 1, 5/2
Let z(i) be the third derivative of i**8/840 + i**7/175 - 17*i**6/300 - 13*i**5/50 - i**4/3 + 4*i**2 - 201. Find w such that z(w) = 0.
-5, -1, 0, 4
Let i be 160/45 + -1 + 56/126. Let l(d) = 7*d**3 + 1. Let h be l(1). Determine n, given that -i*n**2 + 7 - 11 - n**2 + h = 0.
-1, 1
Determine u, given that -30 + 2*u + 5548762*u**3 - 5548760*u**3 + 12*u + 14*u**2 = 0.
-5, -3, 1
Let m(x) be the third derivative of -1/140*x**7 + 1/40*x**5 - 1/16*x**4 + 7*x + 1/80*x**6 + 0 + 0*x**3 - 5*x**2. Solve m(h) = 0 for h.
-1, 0, 1
Let w(r) be the first derivative of r**7/840 - r**6/72 - r**5/20 - 4*r**3/3 + r**2/2 + 59. Let x(d) be the third derivative of w(d). What is g in x(g) = 0?
-1, 0, 6
Let j(c) be the first derivative of 0*c + 10/3*c**3 - 4*c**2 + 5 - 1/2*c**4. Factor j(l).
-2*l*(l - 4)*(l - 1)
Let z be (-6)/10 + 2*52/40. Factor 36 - 15*k**2 + z*k**2 + 10*k**2 + 24*k - 3*k**3.
-3*(k - 3)*(k + 2)**2
Factor -2/5*v**2 - 15732/5*v - 30936978/5.
-2*(v + 3933)**2/5
Let z = -544 - -1258. Factor 72*s**3 + z*s**2 - 77*s + 1041*s + 2*s**4 + 192*s.
2*s*(s + 2)*(s + 17)**2
Let t(j) = -3*j - 43. Let h be t(-18). Suppose -4*f + h = 3. Find p, given that 82*p**f + 35*p + 128 - 90*p**4 - 120 - 226*p**3 + 29*p + 162*p**5 = 0.
-1, -2/9, 1
Let v(a) be the third derivative of -a**5/210 - 3*a**4/7 - 108*a**3/7 + 36*a**2 + 43*a + 2. Factor v(b).
-2*(b + 18)**2/7
Let c(b) be the first derivative of b**4/2 + 160*b**3 + 14400*b**2 - 2784. Factor c(j).
2*j*(j + 120)**2
What is q in 1983*q**2 - 177*q**3 - 69 - 52 + 63 + 2790*q**2 - 4440*q - 98 = 0?
-2/59, 1, 26
Let b = 8079166/1331 + -6070. Let m = 4001/2662 + b. Determine t, given that 2*t - 1/2*t**2 - m = 0.
1, 3
Factor 127*c + 122*c**2 - 259*c**2 + 5*c**3 - 1182*c - 1505*c - 11520 + 37*c**2.
5*(c - 36)*(c + 8)**2
Let h(w) be the first derivative of 0*w - 2/3*w**3 - 73 - 3*w**2. What is o in h(o) = 0?
-3, 0
Let u(d) = 59*d**2 - 19474*d + 11809817. Let l(s) = 14*s**2 - 4868*s + 2952454. Let j(x) = 17*l(x) - 4*u(x). Suppose j(i) = 0. What is i?
1215
Let l = 8351/10 - 141747/170. Solve 2/17*x**2 + l*x + 36/17 = 0.
-9, -2
Let m = -30923 - -278309/9. Find a such that 26/9 - m*a**2 - 8/3*a = 0.
-13, 1
Let q(n) be the first derivative of 1/6*n**2 + 56 + 0*n - 1/3*n**3 + 1/4*n**4 - 1/15*n**5. Find y, given that q(y) = 0.
0, 1
Let v = 206 - 204. Suppose -3*j**4 + 3*j**3 + 3*j**v - 4*j + 3*j**3 - 2*j + 0*j**4 = 0. What is j?
-1, 0, 1, 2
Suppose -5*p + 23 = -4*a - 2, 3*a - 5 = -p. Suppose -6*l + p*l = -2. Let 10*u**2 - 4*u - 11*u + 5*u**3 + 0*u**l = 0. What is u?
-3, 0, 1
Factor -872/3*c**2 + 146*c**3 + 4/3 + 430/3*c.
2*(c - 1)**2*(219*c + 2)/3
Suppose 5*l - q - 513 = 586, 5*l - 1097 = 3*q. Suppose -l = -19*x + 8*x. Solve -x*i**2 - 4*i**3 + 8*i**3 + 6*i - i + 19*i = 0 for i.
0, 2, 3
Suppose -3*u = 4*v - 3444, -4*u + v + 4582 = 3*v. Suppose -m + u = 10*m. Let -100*y**2 - 6409 + 6377 + m*y - 3*y**3 + 19*y**3 + 12*y**4 = 0. Calculate y.
-4, 2/3, 1
Let s = 284 - 272. Determine o so that 14*o - 4*o**4 - 44*o**3 + s*o**2 + 24*o**3 + 4 + 18*o**3 = 0.
-1, -1/2, 2
Let a(b) = -1097*b + 14263. Let p be a(13). Factor -1/3*s**4 - 2/3*s**3 + s**p + 8/3*s + 4/3.
-(s - 2)*(s + 1)**2*(s + 2)/3
Let u be 49/(-147) - (-26)/28. Let l(z) be the second derivative of 0*z**2 + 0 + 9/5*z**5 + 38*z - 2/3*z**4 - u*z**7 + 0*z**3 - z**6. Let l(y) = 0. Calculate y.
-2, 0, 2/5
Let k(m) be the third derivative of m**5/30 + 1657*m**4/24 + 138*m**3 + 97*m**2 + 3*m - 1. Find v such that k(v) = 0.
-828, -1/2
Suppose 57 = -217*o + 236*o. Let b(v) be the first derivative of -1/6*v**4 + 22/9*v**o - 25 + 50/3*v - 35/3*v**2. Factor b(r).
-2*(r - 5)**2*(r - 1)/3
Let n(w) be the first derivative of -27*w**4/8 + 14*w**3 - 87*w**2/4 + 15*w + 2114. Factor n(c).
-3*(c - 1)**2*(9*c - 10)/2
Let z(k) be the first derivative of -k**3 + 837*k**2 - 233523*k + 1173. Factor z(d).
-3*(d - 279)**2
Let z(d) be the third derivative of d**6/960 + d**5/480 - 3*d**4/64 - 3*d**3/16 - 158*d**2. Factor z(l).
(l - 3)*(l + 1)*(l + 3)/8
Let x(z) be the second derivative of -7*z**4/9 + 85*z**3/27 - 2*z**2/9 - 66*z + 1. Factor x(n).
-2*(n - 2)*(42*n - 1)/9
Let d(y) = -y**3 + 5*y**2. Let f be (-19)/((-76)/(-16)) + 6. Let w(n) = -3*n**3 + 9*n**2 - 8*n + 64. Let r(j) = f*w(j) - 10*d(j). Factor r(i).
4*(i - 8)*(i - 2)*(i + 2)
Let s(k) = k**3 + k - 1. Let m(b) = 11 + 6*b**3 - 11 - 2 + 2*b - 5. Let l(r) = 3*m(r) - 15*s(r). Factor l(d).
3*(d - 2)*(d + 1)**2
Suppose -5*r - 2*q = -14, 0*q + 6 = 2*r + q. Let 21*k + 35*k**2 - 91*k - 17*k**2 - 23*k**r = 0. Calculate k.
-14, 0
Let n(y) be the third derivative of -49*y**7/200 + 21*y**5/200 - y**4/20 + 16*y**3/3 + 38*y**2. Let k(i) be the first derivative of n(i). Factor k(z).
-3*(7*z - 1)**2*(7*z + 2)/5
Let 3/8*b**3 - 63/8*b + 135/4 - 21/4*b**2 = 0. What is b?
-3, 2, 15
Suppose -5*g - 340*b - 8 = -346*b, 4*g - 3*b + 1 = 0. Let -1/9*i**5 + 32/9 + 80/9*i**g + 10/9*i**4 - 40/9*i**3 - 80/9*i = 0. What is i?
2
Let o = -7478 - -7482. Let t(x) be the third derivative of 5/64*x**o + 0*x + 0 - 1/160*x**5 + 2*x**2 + 3/8*x**3. Factor t(i).
-3*(i - 6)*(i + 1)/8
Let i(f) = -4*f + 165. Let r be i(-27). Let v = r + -1091/4. Factor -v*c**2 - 3/4*c - 1/2.
-(c + 1)*(c + 2)/4
Suppose 2*g - 5*p - 33 = 0, -11*g - 13 = -8*g + 5*p. Factor 2527*c + 0*c**5 + 5*c**2 - 2529*c - c**g + c**5 - 3*c**3.
c*(c - 1)**3*(c + 2)
Let b(y) = y - 5. Let p be b(21). Suppose -p*c + 9*c + 14 = 0. Determine f, given that 0 - 2/3*f**3 + 4/3*f**c - 2/3*f = 0.
0, 1
Let 195*y**2 - 1165 - 3835 - 3156*y + 1056*y - 62*y**2 + 59*y**2 - 4*y**3 = 0. What is y?
-2, 25
Let j(a) be the third derivative of 0*a**3 - 1/112*a**8 + 3/20*a**5 + 0*a + 1/8*a**6 + 1/70*a**7 + 0*a**4 + a**2 - 109. Suppose j(x) = 0. What is x?
-1, 0, 3
Factor 156*y**3 + 34*y**3 + 175 + 10*y**4 - 88*y**5 + 550*y**2 + 83*y**5 + 535*y - 15*y**4.
-5*(y - 7)*(y + 1)**3*(y + 5)
Let o(p) be the second derivative of -p**7/280 + 47*p**6/120 - 23*p**5/20 + p**3/3 - 119*p**2/2 - 171*p. Let l(u) be the second derivative of o(u). Factor l(r).
-3*r*(r - 46)*(r - 1)
Factor -3/4*u**4 + 0 + 0*u - 93/2*u**2 - 99/4*u**3.
-3*u**2*(u + 2)*(u + 31)/4
Let b be (8 - -1) + (5043/(-205) - -16). Let h = 457/5 - 91. Suppose 0*s + h*s**3 + 0 + b*s**2 - 4/5*s**4 = 0. Calculate s.
-1/2, 0, 1
Let j = -22557 + 134903/6. Let a = j - -2443/30. What is k in 8/15*k**5 - 18/5*k**4 - a*k**2 + 26/3*k**3 + 16/15 + 8/5*k = 0?
-1/4, 1, 2
Suppose 3*z + 9 = 0, -3*z - 131 + 30 = -2*w. Let j = 54 - w. Suppose j - 4*o**3 + 8*o**2 + 0 - 8 = 0. What is o?
0, 2
Let r be ((-95062)/(-1341) - 70)*6/32. Factor -r*t**2 - 7/3 + 3/2*t.
-(t - 7)*(t - 2)/6
Suppose -17*p - 15 = -4*g - 22*p, 4*p - 12 = 0. Find s, given that 675 + 3*s**2 + g*s + 30*s + 60*s = 0.
-15
Let k(o) be the third derivative of -o**7/420 + 47*o**6/60 - 2209*o**5/30 - 102*o**2 - 3*o - 3. Factor k(m).
-m**2*(m - 94)**2/2
Let s(n) = 5*n**3 + 2*n**2 - 4. Let z be s(2). Let t = -44 + z. Factor 2*g**2 + t*g**2 - 4*g**4 - 10*g**3 - g**2 - 5*g**2.
-2*g**2*(g + 2)*(2*g + 1)
Solve -2/7*r**2 - 2768/7 + 2770/7*r = 0 for r.
1, 1384
Suppose 25*c - 27*c = 3*h - 89, 23 = h - c. Let -79 + 27 + x**2 + h + 5*x + 25 = 0. Calculate x.
-5, 0
Let r be ((-230)/12 - 3) + (-3)/(-18). Let x be 1008/99 - (-4)/r. Factor -29*w**4 + 8*w**3 - 24*w**4 + 51*w**4 - x*w**2 + 4*w.
-2*w*(w - 2)*(w - 1)**2
Suppose 0*k**2 + 0 + 0*k + 0*k**3 + 8/19*k**4 + 2/19*k**5 = 0. What is k?
-4, 0
Let b(h) be the second derivative of 54 - 7/8*h**3 + 9/8*h**2 - 2*h - 3/80*h**5 + 5/16*h**4. Solve b(o) = 0.
1, 3
Let t(p) = 12*p**2 + 35*p + 1. Let v(i) = -6*i**2 - 18*i. Let m(o) = 3*t(o) + 