given that g(q) = 0.
1, 6, 10
Let v = 261/422 + 819/211. Suppose -3/4*j**2 - v*j + 0 + 3/4*j**3 = 0. Calculate j.
-2, 0, 3
Let p(h) = -8*h**2 + 4*h - 6. Let q(r) = 6*r**2 - 71*r + 153*r - 74*r - 10 - 20*r**2. Let c(v) = 10*p(v) - 6*q(v). Let c(o) = 0. What is o?
0, 2
Factor -704*p**2 - 902 + 2092*p**2 - 694*p**2 + 904*p - 696*p**2.
-2*(p - 451)*(p - 1)
Let v(t) be the first derivative of 5*t**4/12 + 4*t**3/3 + 2*t**2/3 + 2063. Factor v(j).
j*(j + 2)*(5*j + 2)/3
Determine p, given that 391*p**2 + p**4 + 239*p**2 - 200*p**2 - 114*p**3 + p**4 - 300*p - 18*p = 0.
0, 1, 3, 53
Let z(m) = -m**5 + 2*m**4 - m**3 + m**2 - m - 1. Let w(v) = -7*v**5 + 19*v**4 + 11*v**3 - 93*v**2 - 222*v - 114. Let s(y) = -w(y) + 6*z(y). Factor s(r).
(r - 6)**2*(r + 1)**2*(r + 3)
Let z(q) be the first derivative of 84 + 43*q**2 + 2/3*q**3 + 84*q. Factor z(v).
2*(v + 1)*(v + 42)
Let g(b) be the first derivative of b**4/108 - 5*b**3/27 - 11*b**2/18 + 148*b - 15. Let s(x) be the first derivative of g(x). Determine r so that s(r) = 0.
-1, 11
Let a be (10138/481 - 21)/(((-12)/(-26))/3). Factor 19/2 + a*i**2 - 10*i.
(i - 19)*(i - 1)/2
Suppose 0*v = -5*v - 10, 0 = -4*z - v - 30. Let u be (96/(-144))/(z/3). Let 0*m + 0 - u*m**2 + 0*m**3 + 2/7*m**4 = 0. Calculate m.
-1, 0, 1
Let f(q) be the second derivative of -2*q**6/15 - 26*q**5/5 + 56*q**4/3 - 1752*q. Determine n so that f(n) = 0.
-28, 0, 2
Suppose 5*j - 2*j - 6 = 0. Let v(l) be the first derivative of l + 6*l - 6*l**3 + 17 - 6*l**j - 8*l - l. Suppose v(k) = 0. Calculate k.
-1/3
Let o(c) = -2*c + 102. Let p be o(19). Suppose -62*z = -p*z. Solve 4/5 + z*q - 4/5*q**2 = 0.
-1, 1
Let x = 619/3738 + 2/1869. Let f(q) be the third derivative of 0*q**3 - x*q**4 - 1/15*q**5 - 15*q**2 + 0 + 0*q. Factor f(d).
-4*d*(d + 1)
Suppose -88*w + 83*w = -10. Suppose -l - 8 = 2*i, -w*i - 19 = -3*l - 3. Factor -3*j**2 - l - 9*j**2 - 10*j - 6 + 10*j**2.
-2*(j + 1)*(j + 4)
Factor 3/4*w**3 + 0 + 9/2*w**2 + 6*w.
3*w*(w + 2)*(w + 4)/4
Let l(g) = -9*g**3 - 58*g**2 - 108*g + 175. Let w(a) = -5*a**3 - 29*a**2 - 53*a + 87. Let u(f) = 6*l(f) - 11*w(f). Factor u(q).
(q - 31)*(q - 1)*(q + 3)
Let a(d) = -9*d**2 - 60*d - 9. Let k(x) = 7*x**2 + 59*x + 6. Let y(n) = 2*a(n) + 3*k(n). Factor y(o).
3*o*(o + 19)
Let h = -268 + 568. Let v = h + -298. Factor 0 + 2/3*j - j**v.
-j*(3*j - 2)/3
Let v = -1499 - -1499. Let h(w) be the third derivative of 36*w**2 + v*w - 2/3*w**4 + 0 - 1/15*w**5 + 0*w**3. Factor h(u).
-4*u*(u + 4)
Let o = -496 + 499. Suppose -646 = -x + 1162. Factor -x + 2*k**2 + 1816 + o*k - 11*k.
2*(k - 2)**2
Suppose -260 = -6*h + 4*h. Let y = -34 + h. Suppose -30*w**2 + 9 + 3*w**3 - 39 - 66 + y*w = 0. Calculate w.
2, 4
Let q be -22*1*(-45 + 4). Solve 1587 + 907*a**2 + 138*a + q*a**2 - 1806*a**2 = 0 for a.
-23
Let h(i) = -2*i**2 + 100*i - 219. Let s(v) = -v**2 + 5*v + 3. Let q(f) = -h(f) - 3*s(f). Factor q(x).
5*(x - 21)*(x - 2)
Let k(b) be the third derivative of b**8/2016 + 19*b**7/1260 + 5*b**6/144 - 67*b**5/72 + 257*b**4/72 - 56*b**3/9 - b**2 - 4581*b. Let k(i) = 0. What is i?
-16, -7, 1, 2
Let l = -380 + 383. Let j be (1/((-9)/(-36)))/(3/l). What is v in 16/3*v + j + 4/3*v**2 = 0?
-3, -1
Let q(t) be the first derivative of t**5/15 + 7*t**4/2 - 44*t**3/3 - t**2 + 32*t - 94. Let j(n) be the second derivative of q(n). Factor j(r).
4*(r - 1)*(r + 22)
Let v(y) = 6*y**4 + 24*y**3 + 78*y**2 + 40*y - 4. Let z(n) = -7*n**4 - 24*n**3 - 80*n**2 - 38*n + 5. Let j(q) = 5*v(q) + 4*z(q). Let j(r) = 0. What is r?
-8, -3, -1, 0
Let g(r) be the first derivative of 3*r**4/8 + 17*r**3/2 + 111*r**2/2 + 132*r - 1135. Factor g(x).
3*(x + 2)*(x + 4)*(x + 11)/2
Let h(z) = 290*z - 11307. Let w be h(39). Let d(s) be the second derivative of 21*s - s**2 - 7/6*s**w - 3/4*s**4 + 0 - 1/4*s**5 - 1/30*s**6. Factor d(u).
-(u + 1)**3*(u + 2)
Let x(l) be the first derivative of 5*l**3/6 - 2605*l**2 + 2714410*l - 7530. Solve x(t) = 0.
1042
Factor 4/7 + 46/21*u - 26/21*u**2.
-2*(u - 2)*(13*u + 3)/21
Let t(v) be the first derivative of v**6/21 - 116*v**5/35 + 113*v**4/14 - 16*v**3/3 - 3399. Determine d so that t(d) = 0.
0, 1, 56
Suppose 2*l = 4*n + 28, 5*l + n - 64 = 6. Factor 98 - l*q + 1/2*q**2.
(q - 14)**2/2
Let q(c) be the first derivative of 5*c**6/6 - 5*c**5 + 5*c**4 + 80*c**3/3 - 80*c**2 + 80*c - 1014. Find g such that q(g) = 0.
-2, 1, 2
Factor -3647*k**3 + 4895*k**2 - 2290*k**4 - 6901*k - 13150*k**2 - 1534 - 3241*k**2 - 4775*k**3 + 3*k**5.
(k - 767)*(k + 1)**3*(3*k + 2)
Let t(u) = -u**2 + 14 - 21 + 8. Let m(b) = -2*b**2 - 10*b - 23. Let g(r) = -2*m(r) + 2*t(r). Factor g(w).
2*(w + 4)*(w + 6)
Suppose 55 = -2*p - 65. Let j = p - -62. Determine h, given that -h**j + 9*h**3 - 5*h**3 - 3*h**2 = 0.
0, 1
Factor 405*w - 16 + 2814*w**2 + 1151*w - 625*w + 8 + 933*w.
2*(3*w + 2)*(469*w - 2)
Let r be (-2)/2 - (-4)/1. Let t(k) = -k**3 + 11*k**2 + 75*k - 23. Let w be t(-5). Factor 0*s**w + 0*s + 0 + s**r + 1/2*s**4.
s**3*(s + 2)/2
Find b, given that -27*b**3 + 15/7*b**5 + 0 + 54/7*b**4 + 156/7*b**2 - 36/7*b = 0.
-6, 0, 2/5, 1
Let z(n) be the second derivative of -n**7/42 + n**6/24 + n**5/2 - 45*n**2 - 18*n - 1. Let y(d) be the first derivative of z(d). Determine p so that y(p) = 0.
-2, 0, 3
Let b(m) = 7*m**2 + 589*m + 1144. Let l(d) = -5*d**2 - 585*d - 1145. Let p(z) = -5*b(z) - 6*l(z). Factor p(v).
-5*(v - 115)*(v + 2)
Let l = -161 + 647/4. Let b be 1886/410 - 4/(-10). Factor -1/2*g + 1/4*g**b - 3/4*g**2 + 0 + l*g**4 + 1/4*g**3.
g*(g - 1)*(g + 1)**2*(g + 2)/4
Factor 176*s**2 - 465*s**2 - s**4 - 202*s**3 + 338*s**3 - 252*s - 174*s**3.
-s*(s + 1)*(s + 9)*(s + 28)
Let o = 227 + -224. Factor -34 + 5*s**2 + 4*s + 38 - o*s**2 - 5*s**2.
-(s - 2)*(3*s + 2)
Let d(g) be the first derivative of -7935/2*g**2 + 99 - 5/4*g**4 + 115*g**3 + 60835*g. Factor d(l).
-5*(l - 23)**3
Let y = 2445 - 4875/2. Let k = -65 - -67. Factor 0*t**k + 5/2*t**4 - y*t**3 + 10*t + 0.
5*t*(t - 2)**2*(t + 1)/2
Let s(l) be the second derivative of l**3 + 19 - 1/18*l**4 - 14/3*l**2 + l. Factor s(y).
-2*(y - 7)*(y - 2)/3
Let y(m) be the first derivative of -162 + 0*m + 1/12*m**3 - 27/8*m**2. Determine t, given that y(t) = 0.
0, 27
Solve -10/9*a**2 + 2/9*a**3 - 58/9*a + 70/3 = 0.
-5, 3, 7
Suppose -4*w = h + 49 - 582, w = 4. Let z = -514 + h. Factor 14/13*t**2 + 0 - 2/13*t - 22/13*t**z + 10/13*t**4.
2*t*(t - 1)**2*(5*t - 1)/13
Let t = -2674869/4 - -668733. Solve 8*m**3 - 25/2*m**2 - 6*m + t - 5/4*m**4 = 0 for m.
-1, 7/5, 3
Let h(t) be the third derivative of t**9/52920 - t**7/2205 + t**4/12 + 5*t**3 - 95*t**2. Let c(i) be the second derivative of h(i). Factor c(r).
2*r**2*(r - 2)*(r + 2)/7
Let j(n) = -4 + 2 + 4 + 0*n**2 + 2*n**2. Let k be j(0). Let h(t) = t**2 - t + 1. Let d(r) = 8*r**2 - 12*r + 6. Let x(p) = k*d(p) - 12*h(p). Factor x(v).
4*v*(v - 3)
Let g(j) = -8*j**2 + 1145*j - 10. Let m(a) = -39*a**2 + 5721*a - 48. Let k(u) = 24*g(u) - 5*m(u). Suppose k(i) = 0. What is i?
0, 375
Suppose -4*o - 5 + 1 = 0. Let y be 1/(-2)*(o + -3). Suppose 39*h**3 + 0*h**2 + 9*h - 25*h**2 + 6 - 34*h**y - 12*h**5 + 9*h**4 + 8*h**2 = 0. What is h?
-2, -1/4, 1
Let p = 429928/11 + -39084. Factor -2/11*y**5 + 0*y + 0 - p*y**4 + 6/11*y**3 + 0*y**2.
-2*y**3*(y - 1)*(y + 3)/11
What is r in 26*r - 51*r**2 + 100*r**2 - 64*r**2 + 22*r - 7*r**3 + 64 + 8*r**3 = 0?
-1, 8
Let h be 6/27 - 101*6/(-9)*(-80)/(-96). Factor -1/3*z**2 - 26/3*z - h.
-(z + 13)**2/3
Let h(b) = -b**3 - 27*b**2 + 3. Let r be h(-27). Factor -13*g**r + 29*g - 53*g - 5*g**2 + g**2 + 4*g**4 + 37*g**3.
4*g*(g - 1)*(g + 1)*(g + 6)
Let v(t) be the third derivative of t**9/6048 - t**8/840 - 11*t**7/1680 - t**6/120 - 17*t**3/3 + 80*t**2. Let b(n) be the first derivative of v(n). Factor b(h).
h**2*(h - 6)*(h + 1)**2/2
Let j(l) = -3*l**2 + 22*l + 30. Let s(f) = -2*f**2 + 15*f + 22. Let v(a) = 5*j(a) - 7*s(a). Suppose v(p) = 0. Calculate p.
1, 4
Let w(r) = -r**4 + 2*r**3 - 4*r + 1. Let b be (-12)/42 + (40/(-7) - 4). Let t(a) = -a**4 - a + 1. Let h = -2 + 7. Let v(l) = b*t(l) + h*w(l). Factor v(y).
5*(y - 1)*(y + 1)**3
Find z, given that 312/7*z - 288/7 - 32/7*z**3 + 4/7*z**4 + 4/7*z**2 = 0.
-3, 1, 4, 6
Let u(s) = -7*s**4 + 13*s**3 - 22*s**2 - 162*s - 128. Let g(q) = -24*q**4 + 39*q**3 - 68*q**2 - 487*q - 384. Let m(y) = 6*g(y) - 21*u(y). Factor m(p).
3*(p - 8)**2*(p + 1)*(p + 2)
Let r(z) be the first deri